{
  "version": "1.1.6",
  "modules": [
    {
      "id": 9,
      "plugin": "ImpromptuModular",
      "version": "1.1.9",
      "model": "Clocked-Clkd",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 5.0
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 120.0
        },
        {
          "id": 4,
          "value": 0.0
        },
        {
          "id": 5,
          "value": 0.0
        },
        {
          "id": 6,
          "value": 0.0
        },
        {
          "id": 7,
          "value": 0.0
        },
        {
          "id": 8,
          "value": 0.0
        },
        {
          "id": 9,
          "value": 0.0
        }
      ],
      "rightModuleId": 199,
      "data": {
        "panelTheme": 1,
        "running": false,
        "bpmDetectionMode": false,
        "resetOnStartStop": 15,
        "ppqn": 4,
        "resetClockOutputsHigh": false,
        "momentaryRunInput": true,
        "displayIndex": 2,
        "trigOuts": [
          false,
          false,
          false,
          false
        ],
        "clockMaster": 9
      },
      "pos": [
        0,
        1
      ]
    },
    {
      "id": 12,
      "plugin": "Core",
      "version": "1.1.6",
      "model": "AudioInterface",
      "params": [],
      "data": {
        "audio": {
          "driver": 8,
          "deviceName": "Default Device",
          "offset": 0,
          "maxChannels": 8,
          "sampleRate": 44100,
          "blockSize": 1024
        }
      },
      "pos": [
        113,
        2
      ]
    },
    {
      "id": 199,
      "plugin": "MindMeldModular",
      "version": "1.1.11",
      "model": "MixMasterJr",
      "params": [
        {
          "id": 0,
          "value": 0.807232141
        },
        {
          "id": 1,
          "value": 0.591785669
        },
        {
          "id": 2,
          "value": 0.569107056
        },
        {
          "id": 3,
          "value": 1.0
        },
        {
          "id": 4,
          "value": 1.0
        },
        {
          "id": 5,
          "value": 1.0
        },
        {
          "id": 6,
          "value": 0.648482025
        },
        {
          "id": 7,
          "value": 0.823988616
        },
        {
          "id": 8,
          "value": 1.0
        },
        {
          "id": 9,
          "value": 1.0
        },
        {
          "id": 10,
          "value": 0.5
        },
        {
          "id": 11,
          "value": 0.5
        },
        {
          "id": 12,
          "value": 0.5
        },
        {
          "id": 13,
          "value": 0.5
        },
        {
          "id": 14,
          "value": 0.5
        },
        {
          "id": 15,
          "value": 0.5
        },
        {
          "id": 16,
          "value": 0.5
        },
        {
          "id": 17,
          "value": 0.5
        },
        {
          "id": 18,
          "value": 0.5
        },
        {
          "id": 19,
          "value": 0.5
        },
        {
          "id": 20,
          "value": 0.0
        },
        {
          "id": 21,
          "value": 0.0
        },
        {
          "id": 22,
          "value": 0.0
        },
        {
          "id": 23,
          "value": 0.0
        },
        {
          "id": 24,
          "value": 0.0
        },
        {
          "id": 25,
          "value": 0.0
        },
        {
          "id": 26,
          "value": 0.0
        },
        {
          "id": 27,
          "value": 0.0
        },
        {
          "id": 28,
          "value": 0.0
        },
        {
          "id": 29,
          "value": 0.0
        },
        {
          "id": 30,
          "value": 0.0
        },
        {
          "id": 31,
          "value": 0.0
        },
        {
          "id": 32,
          "value": 0.0
        },
        {
          "id": 33,
          "value": 0.0
        },
        {
          "id": 34,
          "value": 0.0
        },
        {
          "id": 35,
          "value": 0.0
        },
        {
          "id": 36,
          "value": 0.0
        },
        {
          "id": 37,
          "value": 0.0
        },
        {
          "id": 38,
          "value": 0.0
        },
        {
          "id": 39,
          "value": 0.0
        },
        {
          "id": 40,
          "value": 0.0
        },
        {
          "id": 41,
          "value": 0.0
        },
        {
          "id": 42,
          "value": 0.0
        },
        {
          "id": 43,
          "value": 1.0
        },
        {
          "id": 44,
          "value": 0.0
        },
        {
          "id": 45,
          "value": 0.0
        },
        {
          "id": 46,
          "value": 0.0
        },
        {
          "id": 47,
          "value": 0.0
        },
        {
          "id": 48,
          "value": 0.0
        },
        {
          "id": 49,
          "value": 0.0
        },
        {
          "id": 50,
          "value": 0.0
        },
        {
          "id": 51,
          "value": 0.0
        },
        {
          "id": 52,
          "value": 101.829979
        },
        {
          "id": 53,
          "value": 13.0
        },
        {
          "id": 54,
          "value": 62.3499908
        },
        {
          "id": 55,
          "value": 13.0
        },
        {
          "id": 56,
          "value": 13.0
        },
        {
          "id": 57,
          "value": 39.6489983
        },
        {
          "id": 58,
          "value": 13.0
        },
        {
          "id": 59,
          "value": 151.179993
        },
        {
          "id": 60,
          "value": 20010.0
        },
        {
          "id": 61,
          "value": 20010.0
        },
        {
          "id": 62,
          "value": 20010.0
        },
        {
          "id": 63,
          "value": 20010.0
        },
        {
          "id": 64,
          "value": 20010.0
        },
        {
          "id": 65,
          "value": 20010.0
        },
        {
          "id": 66,
          "value": 20010.0
        },
        {
          "id": 67,
          "value": 20010.0
        },
        {
          "id": 68,
          "value": 13.0
        },
        {
          "id": 69,
          "value": 13.0
        },
        {
          "id": 70,
          "value": 20010.0
        },
        {
          "id": 71,
          "value": 20010.0
        }
      ],
      "leftModuleId": 9,
      "rightModuleId": 200,
      "data": {
        "trackLabels": "chrdArp1bass-04-PNG KickLmn Arp2GRP1GRP2",
        "panLawMono": 1,
        "panLawStereo": 1,
        "directOutsMode": 3,
        "directOutsSkipGroupedTracks": 0,
        "auxSendsMode": 3,
        "groupsControlTrackSendLevels": 0,
        "auxReturnsMutedWhenMainSolo": 0,
        "auxReturnsSolosMuteDry": 0,
        "chainMode": 0,
        "colorAndCloak": 117440512,
        "symmetricalFade": false,
        "fadeCvOutsWithVolCv": false,
        "linkBitMask": 0,
        "filterPos": 1,
        "groupedAuxReturnFeedbackProtection": 1,
        "ecoMode": 0,
        "faders": [
          0.807232141,
          0.591785669,
          0.569107056,
          1.0,
          1.0,
          1.0,
          0.648482025,
          0.823988616,
          1.0,
          1.0
        ],
        "momentaryCvButtons": 1,
        "masterFaderScalesSends": 1,
        "linearVolCvInputs": 0,
        "id_t0_gainAdjust": 1.0,
        "id_t0_fadeRate": 0.0,
        "id_t0_fadeProfile": 0.0,
        "id_t0_directOutsMode": 3,
        "id_t0_auxSendsMode": 3,
        "id_t0_panLawStereo": 1,
        "id_t0_vuColorThemeLocal": 0,
        "id_t0_filterPos": 1,
        "id_t0_dispColorLocal": 0,
        "id_t0_polyStereo": 0,
        "id_t0_panCvLevel": 1.0,
        "id_t0_stereoWidth": 1.0,
        "id_t0_invertInput": 0,
        "id_t1_gainAdjust": 1.0,
        "id_t1_fadeRate": 0.0,
        "id_t1_fadeProfile": 0.0,
        "id_t1_directOutsMode": 3,
        "id_t1_auxSendsMode": 3,
        "id_t1_panLawStereo": 1,
        "id_t1_vuColorThemeLocal": 0,
        "id_t1_filterPos": 1,
        "id_t1_dispColorLocal": 0,
        "id_t1_polyStereo": 0,
        "id_t1_panCvLevel": 1.0,
        "id_t1_stereoWidth": 1.0,
        "id_t1_invertInput": 0,
        "id_t2_gainAdjust": 1.0,
        "id_t2_fadeRate": 0.0,
        "id_t2_fadeProfile": 0.0,
        "id_t2_directOutsMode": 3,
        "id_t2_auxSendsMode": 3,
        "id_t2_panLawStereo": 1,
        "id_t2_vuColorThemeLocal": 0,
        "id_t2_filterPos": 1,
        "id_t2_dispColorLocal": 0,
        "id_t2_polyStereo": 0,
        "id_t2_panCvLevel": 1.0,
        "id_t2_stereoWidth": 1.0,
        "id_t2_invertInput": 0,
        "id_t3_gainAdjust": 1.0,
        "id_t3_fadeRate": 0.0,
        "id_t3_fadeProfile": 0.0,
        "id_t3_directOutsMode": 3,
        "id_t3_auxSendsMode": 3,
        "id_t3_panLawStereo": 1,
        "id_t3_vuColorThemeLocal": 0,
        "id_t3_filterPos": 1,
        "id_t3_dispColorLocal": 0,
        "id_t3_polyStereo": 0,
        "id_t3_panCvLevel": 1.0,
        "id_t3_stereoWidth": 1.0,
        "id_t3_invertInput": 0,
        "id_t4_gainAdjust": 1.0,
        "id_t4_fadeRate": 0.0,
        "id_t4_fadeProfile": 0.0,
        "id_t4_directOutsMode": 3,
        "id_t4_auxSendsMode": 3,
        "id_t4_panLawStereo": 1,
        "id_t4_vuColorThemeLocal": 0,
        "id_t4_filterPos": 1,
        "id_t4_dispColorLocal": 0,
        "id_t4_polyStereo": 0,
        "id_t4_panCvLevel": 1.0,
        "id_t4_stereoWidth": 1.0,
        "id_t4_invertInput": 0,
        "id_t5_gainAdjust": 1.0,
        "id_t5_fadeRate": 0.0,
        "id_t5_fadeProfile": 0.0,
        "id_t5_directOutsMode": 3,
        "id_t5_auxSendsMode": 3,
        "id_t5_panLawStereo": 1,
        "id_t5_vuColorThemeLocal": 0,
        "id_t5_filterPos": 1,
        "id_t5_dispColorLocal": 0,
        "id_t5_polyStereo": 0,
        "id_t5_panCvLevel": 1.0,
        "id_t5_stereoWidth": 1.0,
        "id_t5_invertInput": 0,
        "id_t6_gainAdjust": 1.0,
        "id_t6_fadeRate": 0.0,
        "id_t6_fadeProfile": 0.0,
        "id_t6_directOutsMode": 3,
        "id_t6_auxSendsMode": 3,
        "id_t6_panLawStereo": 1,
        "id_t6_vuColorThemeLocal": 0,
        "id_t6_filterPos": 1,
        "id_t6_dispColorLocal": 0,
        "id_t6_polyStereo": 0,
        "id_t6_panCvLevel": 1.0,
        "id_t6_stereoWidth": 1.0,
        "id_t6_invertInput": 0,
        "id_t7_gainAdjust": 1.0,
        "id_t7_fadeRate": 0.0,
        "id_t7_fadeProfile": 0.0,
        "id_t7_directOutsMode": 3,
        "id_t7_auxSendsMode": 3,
        "id_t7_panLawStereo": 1,
        "id_t7_vuColorThemeLocal": 0,
        "id_t7_filterPos": 1,
        "id_t7_dispColorLocal": 0,
        "id_t7_polyStereo": 0,
        "id_t7_panCvLevel": 1.0,
        "id_t7_stereoWidth": 1.0,
        "id_t7_invertInput": 0,
        "id_g0_fadeRate": 0.0,
        "id_g0_fadeProfile": 0.0,
        "id_g0_directOutsMode": 3,
        "id_g0_auxSendsMode": 3,
        "id_g0_panLawStereo": 1,
        "id_g0_vuColorThemeLocal": 0,
        "id_g0_filterPos": 1,
        "id_g0_dispColorLocal": 0,
        "id_g0_panCvLevel": 1.0,
        "id_g0_stereoWidth": 1.0,
        "id_g1_fadeRate": 0.0,
        "id_g1_fadeProfile": 0.0,
        "id_g1_directOutsMode": 3,
        "id_g1_auxSendsMode": 3,
        "id_g1_panLawStereo": 1,
        "id_g1_vuColorThemeLocal": 0,
        "id_g1_filterPos": 1,
        "id_g1_dispColorLocal": 0,
        "id_g1_panCvLevel": 1.0,
        "id_g1_stereoWidth": 1.0,
        "dcBlock": false,
        "clipping": 1,
        "fadeRate": 30.0,
        "fadeProfile": 0.0,
        "vuColorThemeLocal": 0,
        "dispColorLocal": 0,
        "chainOnly": 0,
        "dimGain": 0.251190007,
        "masterLabel": "MASTER"
      },
      "pos": [
        10,
        1
      ]
    },
    {
      "id": 200,
      "plugin": "MindMeldModular",
      "version": "1.1.11",
      "model": "AuxExpanderJr",
      "params": [
        {
          "id": 0,
          "value": 0.269999981
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 0.0
        },
        {
          "id": 4,
          "value": 0.0
        },
        {
          "id": 5,
          "value": 0.486000031
        },
        {
          "id": 6,
          "value": 0.0
        },
        {
          "id": 7,
          "value": 0.0
        },
        {
          "id": 8,
          "value": 0.0
        },
        {
          "id": 9,
          "value": 0.0
        },
        {
          "id": 10,
          "value": 0.0
        },
        {
          "id": 11,
          "value": 0.0
        },
        {
          "id": 12,
          "value": 0.0
        },
        {
          "id": 13,
          "value": 0.0
        },
        {
          "id": 14,
          "value": 0.0
        },
        {
          "id": 15,
          "value": 0.0
        },
        {
          "id": 16,
          "value": 0.238499954
        },
        {
          "id": 17,
          "value": 0.169499993
        },
        {
          "id": 18,
          "value": 0.0
        },
        {
          "id": 19,
          "value": 0.0
        },
        {
          "id": 20,
          "value": 0.0
        },
        {
          "id": 21,
          "value": 0.0
        },
        {
          "id": 22,
          "value": 0.0
        },
        {
          "id": 23,
          "value": 0.0
        },
        {
          "id": 24,
          "value": 0.0
        },
        {
          "id": 25,
          "value": 0.0
        },
        {
          "id": 26,
          "value": 0.0
        },
        {
          "id": 27,
          "value": 0.0
        },
        {
          "id": 28,
          "value": 0.288000017
        },
        {
          "id": 29,
          "value": 0.0
        },
        {
          "id": 30,
          "value": 0.0
        },
        {
          "id": 31,
          "value": 0.0
        },
        {
          "id": 32,
          "value": 0.0
        },
        {
          "id": 33,
          "value": 0.0
        },
        {
          "id": 34,
          "value": 0.0
        },
        {
          "id": 35,
          "value": 0.0
        },
        {
          "id": 36,
          "value": 0.0
        },
        {
          "id": 37,
          "value": 0.0
        },
        {
          "id": 38,
          "value": 0.0
        },
        {
          "id": 39,
          "value": 0.0
        },
        {
          "id": 40,
          "value": 0.0
        },
        {
          "id": 41,
          "value": 0.0
        },
        {
          "id": 42,
          "value": 0.0
        },
        {
          "id": 43,
          "value": 0.0
        },
        {
          "id": 44,
          "value": 0.0
        },
        {
          "id": 45,
          "value": 0.0
        },
        {
          "id": 46,
          "value": 0.0
        },
        {
          "id": 47,
          "value": 0.0
        },
        {
          "id": 48,
          "value": 0.0
        },
        {
          "id": 49,
          "value": 0.0
        },
        {
          "id": 50,
          "value": 0.0
        },
        {
          "id": 51,
          "value": 0.0
        },
        {
          "id": 52,
          "value": 0.0
        },
        {
          "id": 53,
          "value": 0.0
        },
        {
          "id": 54,
          "value": 0.0
        },
        {
          "id": 55,
          "value": 0.0
        },
        {
          "id": 56,
          "value": 0.0
        },
        {
          "id": 57,
          "value": 0.0
        },
        {
          "id": 58,
          "value": 0.0
        },
        {
          "id": 59,
          "value": 0.0
        },
        {
          "id": 60,
          "value": 0.0
        },
        {
          "id": 61,
          "value": 0.0
        },
        {
          "id": 62,
          "value": 1.0
        },
        {
          "id": 63,
          "value": 1.0
        },
        {
          "id": 64,
          "value": 1.0
        },
        {
          "id": 65,
          "value": 1.0
        },
        {
          "id": 66,
          "value": 0.5
        },
        {
          "id": 67,
          "value": 0.5
        },
        {
          "id": 68,
          "value": 0.5
        },
        {
          "id": 69,
          "value": 0.5
        },
        {
          "id": 70,
          "value": 1.0
        },
        {
          "id": 71,
          "value": 1.0
        },
        {
          "id": 72,
          "value": 1.0
        },
        {
          "id": 73,
          "value": 1.0
        }
      ],
      "leftModuleId": 199,
      "rightModuleId": 204,
      "data": {
        "directOutsModeLocal": 50529027,
        "panLawStereoLocal": 16843009,
        "vuColorThemeLocal": 0,
        "dispColorAuxLocal": [
          0,
          0,
          0,
          0
        ],
        "auxFadeRatesAndProfiles": [
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0
        ],
        "auxLabels": "AUXAAUXBAUXCAUXD",
        "id_x0_hpfCutoffFreq": 13.0,
        "id_x0_lpfCutoffFreq": 20010.0,
        "id_x0_stereoWidth": 1.0,
        "id_x1_hpfCutoffFreq": 13.0,
        "id_x1_lpfCutoffFreq": 20010.0,
        "id_x1_stereoWidth": 1.0,
        "id_x2_hpfCutoffFreq": 13.0,
        "id_x2_lpfCutoffFreq": 20010.0,
        "id_x2_stereoWidth": 1.0,
        "id_x3_hpfCutoffFreq": 13.0,
        "id_x3_lpfCutoffFreq": 20010.0,
        "id_x3_stereoWidth": 1.0,
        "panCvLevels": [
          1.0,
          1.0,
          1.0,
          1.0
        ]
      },
      "pos": [
        46,
        1
      ]
    },
    {
      "id": 204,
      "plugin": "MindMeldModular",
      "version": "1.1.11",
      "model": "BassMaster",
      "params": [
        {
          "id": 0,
          "value": 200.0
        },
        {
          "id": 1,
          "value": 1.0
        },
        {
          "id": 2,
          "value": 1.0
        },
        {
          "id": 3,
          "value": 1.5
        },
        {
          "id": 4,
          "value": 0.0
        },
        {
          "id": 5,
          "value": 0.0
        },
        {
          "id": 6,
          "value": 0.0
        },
        {
          "id": 7,
          "value": 0.0
        },
        {
          "id": 8,
          "value": 0.0
        },
        {
          "id": 9,
          "value": 0.0
        },
        {
          "id": 10,
          "value": 1.0
        }
      ],
      "leftModuleId": 200,
      "rightModuleId": 205,
      "data": {
        "miscSettings": 16777216
      },
      "pos": [
        76,
        1
      ]
    },
    {
      "id": 205,
      "plugin": "MindMeldModular",
      "version": "1.1.11",
      "model": "EqMaster",
      "params": [
        {
          "id": 0,
          "value": 4.0
        },
        {
          "id": 1,
          "value": 1.0
        },
        {
          "id": 2,
          "value": 5.4000001
        },
        {
          "id": 3,
          "value": 1.0
        },
        {
          "id": 4,
          "value": 1.0
        },
        {
          "id": 5,
          "value": 1.0
        },
        {
          "id": 6,
          "value": 1.0
        },
        {
          "id": 7,
          "value": 2.0
        },
        {
          "id": 8,
          "value": 2.16925454
        },
        {
          "id": 9,
          "value": 3.17609119
        },
        {
          "id": 10,
          "value": 3.47454262
        },
        {
          "id": 11,
          "value": 0.0
        },
        {
          "id": 12,
          "value": 6.18000031
        },
        {
          "id": 13,
          "value": 0.0
        },
        {
          "id": 14,
          "value": 3.78000045
        },
        {
          "id": 15,
          "value": 1.0
        },
        {
          "id": 16,
          "value": 0.931499958
        },
        {
          "id": 17,
          "value": 3.0
        },
        {
          "id": 18,
          "value": 1.0
        },
        {
          "id": 19,
          "value": 0.0
        },
        {
          "id": 20,
          "value": 0.0
        },
        {
          "id": 21,
          "value": 0.0
        }
      ],
      "leftModuleId": 204,
      "rightModuleId": 575,
      "data": {
        "mappedId": 200,
        "trackLabels": "chrdArp1bass-04-PNG KickLmn Arp2-09--10--11--12--13--14--15--16-GRP1GRP2GRP3GRP4AUXAAUXBAUXCAUXD",
        "trackLabelColors": [
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0
        ],
        "trackVuColors": [
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0
        ],
        "miscSettings": 117507585,
        "miscSettings2": 512,
        "showFreqAsNotes": 0,
        "active": [
          true,
          true,
          true,
          true,
          true,
          true,
          true,
          true,
          true,
          true,
          true,
          true,
          true,
          true,
          true,
          true,
          true,
          true,
          true,
          true,
          true,
          true,
          true,
          true
        ],
        "bandActive": [
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0
        ],
        "freq": [
          1.8175689,
          2.5440681,
          3.17609119,
          3.69897008,
          2.0,
          2.5440681,
          3.17609119,
          3.69897008,
          2.0,
          1.97227311,
          3.17609119,
          3.69897008,
          2.0,
          2.5440681,
          3.17609119,
          3.69897008,
          2.0,
          2.16925454,
          3.17609119,
          3.47454262,
          2.0,
          1.82179999,
          3.29159093,
          3.69897008,
          2.0,
          2.5440681,
          3.17609119,
          3.69897008,
          2.0,
          2.5440681,
          3.17609119,
          3.69897008,
          2.0,
          2.5440681,
          3.17609119,
          3.69897008,
          2.0,
          2.5440681,
          3.17609119,
          3.69897008,
          2.0,
          2.5440681,
          3.17609119,
          3.69897008,
          2.0,
          2.5440681,
          3.17609119,
          3.69897008,
          2.0,
          2.5440681,
          3.17609119,
          3.69897008,
          2.0,
          2.5440681,
          3.17609119,
          3.69897008,
          2.0,
          2.5440681,
          3.17609119,
          3.69897008,
          2.0,
          2.5440681,
          3.17609119,
          3.69897008,
          2.0,
          2.5440681,
          3.17609119,
          3.69897008,
          2.0,
          2.5440681,
          3.17609119,
          3.69897008,
          2.0,
          2.5440681,
          3.17609119,
          3.69897008,
          2.0,
          2.5440681,
          3.17609119,
          3.69897008,
          2.0,
          2.5440681,
          3.17609119,
          3.69897008,
          2.0,
          2.5440681,
          3.17609119,
          3.69897008,
          2.0,
          2.5440681,
          3.17609119,
          3.69897008,
          2.0,
          2.5440681,
          3.17609119,
          3.69897008
        ],
        "gain": [
          -6.12000084,
          0.0,
          2.75999999,
          0.0,
          -8.03999901,
          3.9000001,
          0.0,
          0.0,
          0.0,
          -6.53999996,
          0.0,
          3.05999994,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          6.18000031,
          0.0,
          3.78000045,
          -2.27999997,
          6.29999924,
          3.77999997,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0
        ],
        "q": [
          1.0,
          3.0,
          1.40429986,
          1.0,
          1.0,
          3.0,
          3.0,
          1.0,
          1.0,
          3.0,
          3.0,
          1.0,
          1.0,
          3.0,
          3.0,
          1.0,
          1.0,
          0.931499958,
          3.0,
          1.0,
          1.0,
          0.842850327,
          1.02014983,
          1.0,
          1.0,
          3.0,
          3.0,
          1.0,
          1.0,
          3.0,
          3.0,
          1.0,
          1.0,
          3.0,
          3.0,
          1.0,
          1.0,
          3.0,
          3.0,
          1.0,
          1.0,
          3.0,
          3.0,
          1.0,
          1.0,
          3.0,
          3.0,
          1.0,
          1.0,
          3.0,
          3.0,
          1.0,
          1.0,
          3.0,
          3.0,
          1.0,
          1.0,
          3.0,
          3.0,
          1.0,
          1.0,
          3.0,
          3.0,
          1.0,
          1.0,
          3.0,
          3.0,
          1.0,
          1.0,
          3.0,
          3.0,
          1.0,
          1.0,
          3.0,
          3.0,
          1.0,
          1.0,
          3.0,
          3.0,
          1.0,
          1.0,
          3.0,
          3.0,
          1.0,
          1.0,
          3.0,
          3.0,
          1.0,
          1.0,
          3.0,
          3.0,
          1.0,
          1.0,
          3.0,
          3.0,
          1.0
        ],
        "freqCvAtten": [
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0
        ],
        "gainCvAtten": [
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0
        ],
        "qCvAtten": [
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0,
          1.0
        ],
        "lowPeak": [
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false
        ],
        "highPeak": [
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false,
          false
        ],
        "trackGain": [
          -2.0400002,
          -6.5999999,
          -7.50000048,
          0.0,
          5.4000001,
          -4.68000031,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          0.0
        ]
      },
      "pos": [
        85,
        1
      ]
    },
    {
      "id": 206,
      "plugin": "Valley",
      "version": "1.1.4",
      "model": "Plateau",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.5
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 10.0
        },
        {
          "id": 4,
          "value": 10.0
        },
        {
          "id": 5,
          "value": 0.5
        },
        {
          "id": 6,
          "value": 10.0
        },
        {
          "id": 7,
          "value": 0.549950004
        },
        {
          "id": 8,
          "value": 10.0
        },
        {
          "id": 9,
          "value": 10.0
        },
        {
          "id": 10,
          "value": 0.0
        },
        {
          "id": 11,
          "value": 0.5
        },
        {
          "id": 12,
          "value": 0.5
        },
        {
          "id": 13,
          "value": 0.0
        },
        {
          "id": 14,
          "value": 0.0
        },
        {
          "id": 15,
          "value": 0.0
        },
        {
          "id": 16,
          "value": 0.0
        },
        {
          "id": 17,
          "value": 0.0
        },
        {
          "id": 18,
          "value": 0.0
        },
        {
          "id": 19,
          "value": 0.0
        },
        {
          "id": 20,
          "value": 0.0
        },
        {
          "id": 21,
          "value": 0.0
        },
        {
          "id": 22,
          "value": 0.0
        },
        {
          "id": 23,
          "value": 0.0
        },
        {
          "id": 24,
          "value": 0.0
        },
        {
          "id": 25,
          "value": 0.0
        },
        {
          "id": 26,
          "value": 0.0
        },
        {
          "id": 27,
          "value": 0.0
        },
        {
          "id": 28,
          "value": 0.0
        },
        {
          "id": 29,
          "value": 0.0
        },
        {
          "id": 30,
          "value": 1.0
        }
      ],
      "rightModuleId": 207,
      "data": {
        "frozen": false,
        "freezeToggle": false,
        "panelStyle": 0,
        "tuned": 0,
        "diffuseInput": 1,
        "preDelayCVSens": 0,
        "inputSensitivity": 0,
        "outputSaturation": 0
      },
      "pos": [
        86,
        0
      ]
    },
    {
      "id": 207,
      "plugin": "MSM",
      "version": "1.0.0",
      "model": "DualDelay",
      "params": [
        {
          "id": 0,
          "value": 1.0
        },
        {
          "id": 1,
          "value": 1.0
        },
        {
          "id": 2,
          "value": 0.674799979
        },
        {
          "id": 3,
          "value": 0.707799971
        },
        {
          "id": 4,
          "value": 0.198000014
        },
        {
          "id": 5,
          "value": 0.231000021
        },
        {
          "id": 6,
          "value": 1.0
        },
        {
          "id": 7,
          "value": 0.0
        },
        {
          "id": 8,
          "value": 1.0
        },
        {
          "id": 9,
          "value": 0.0
        },
        {
          "id": 10,
          "value": 0.5
        },
        {
          "id": 11,
          "value": 0.5
        },
        {
          "id": 12,
          "value": 1.0
        },
        {
          "id": 13,
          "value": 1.0
        },
        {
          "id": 14,
          "value": 0.0
        },
        {
          "id": 15,
          "value": 0.0
        },
        {
          "id": 16,
          "value": 0.0
        },
        {
          "id": 17,
          "value": 0.0
        }
      ],
      "leftModuleId": 206,
      "data": {
        "Theme": 1,
        "DISPLAYA": 1,
        "DISPLAYB": 1
      },
      "pos": [
        98,
        0
      ]
    },
    {
      "id": 513,
      "plugin": "squinkylabs-plug1",
      "version": "1.0.14",
      "model": "squinkylabs-basic",
      "params": [
        {
          "id": 0,
          "value": 4.0
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 0.0
        },
        {
          "id": 4,
          "value": 50.0
        },
        {
          "id": 5,
          "value": 0.0
        },
        {
          "id": 6,
          "value": 3.0
        }
      ],
      "leftModuleId": 521,
      "rightModuleId": 522,
      "pos": [
        21,
        2
      ]
    },
    {
      "id": 514,
      "plugin": "squinkylabs-plug1",
      "version": "1.0.14",
      "model": "squinkylabs-vocalfilter",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 1.0
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 1.0
        },
        {
          "id": 4,
          "value": 0.0
        },
        {
          "id": 5,
          "value": 1.0
        },
        {
          "id": 6,
          "value": 2.0
        },
        {
          "id": 7,
          "value": 0.0
        },
        {
          "id": 8,
          "value": 1.0
        }
      ],
      "leftModuleId": 522,
      "rightModuleId": 517,
      "pos": [
        27,
        2
      ]
    },
    {
      "id": 517,
      "plugin": "squinkylabs-plug1",
      "version": "1.0.14",
      "model": "squinkylabs-lfn",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 0.0
        },
        {
          "id": 4,
          "value": 0.0
        },
        {
          "id": 5,
          "value": -2.44499993
        },
        {
          "id": 6,
          "value": 1.0
        }
      ],
      "leftModuleId": 514,
      "rightModuleId": 518,
      "pos": [
        39,
        2
      ]
    },
    {
      "id": 518,
      "plugin": "squinkylabs-plug1",
      "version": "1.0.14",
      "model": "squinkylabs-lfn",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 0.0
        },
        {
          "id": 4,
          "value": 0.0
        },
        {
          "id": 5,
          "value": -3.06000018
        },
        {
          "id": 6,
          "value": 1.0
        }
      ],
      "leftModuleId": 517,
      "rightModuleId": 519,
      "pos": [
        45,
        2
      ]
    },
    {
      "id": 519,
      "plugin": "squinkylabs-plug1",
      "version": "1.0.14",
      "model": "squinkylabs-tremolo",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 0.0
        },
        {
          "id": 4,
          "value": 0.0
        },
        {
          "id": 5,
          "value": 0.0
        },
        {
          "id": 6,
          "value": 1.0
        },
        {
          "id": 7,
          "value": 1.0
        },
        {
          "id": 8,
          "value": 1.0
        },
        {
          "id": 9,
          "value": 1.0
        }
      ],
      "leftModuleId": 518,
      "rightModuleId": 520,
      "pos": [
        51,
        2
      ]
    },
    {
      "id": 520,
      "plugin": "squinkylabs-plug1",
      "version": "1.0.14",
      "model": "squinkylabs-shp",
      "params": [
        {
          "id": 0,
          "value": 2.0
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 1.60500014
        },
        {
          "id": 4,
          "value": 0.338999987
        },
        {
          "id": 5,
          "value": 0.0
        },
        {
          "id": 6,
          "value": 0.0
        }
      ],
      "leftModuleId": 519,
      "rightModuleId": 524,
      "pos": [
        61,
        2
      ]
    },
    {
      "id": 521,
      "plugin": "AaronStatic",
      "version": "1.0.0",
      "model": "ChordCV",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": -1.20399976
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 0.0
        }
      ],
      "leftModuleId": 523,
      "rightModuleId": 513,
      "pos": [
        13,
        2
      ]
    },
    {
      "id": 522,
      "plugin": "Fundamental",
      "version": "1.4.0",
      "model": "Sum",
      "params": [
        {
          "id": 0,
          "value": 0.35800004
        }
      ],
      "leftModuleId": 513,
      "rightModuleId": 514,
      "pos": [
        24,
        2
      ]
    },
    {
      "id": 523,
      "plugin": "JW-Modules",
      "version": "1.0.17",
      "model": "NoteSeq16",
      "params": [
        {
          "id": 0,
          "value": 16.0
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 0.0
        },
        {
          "id": 4,
          "value": 0.100000001
        },
        {
          "id": 5,
          "value": 11.0
        },
        {
          "id": 6,
          "value": 0.0
        },
        {
          "id": 7,
          "value": 0.0
        },
        {
          "id": 8,
          "value": 0.0
        },
        {
          "id": 9,
          "value": 0.0
        },
        {
          "id": 10,
          "value": 0.0
        }
      ],
      "rightModuleId": 521,
      "data": {
        "channels": 1,
        "cells": [
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0
        ]
      },
      "pos": [
        0,
        2
      ]
    },
    {
      "id": 524,
      "plugin": "squinkylabs-plug1",
      "version": "1.0.14",
      "model": "squinkylabs-super",
      "params": [
        {
          "id": 0,
          "value": -1.0
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 0.0
        },
        {
          "id": 4,
          "value": 0.0
        },
        {
          "id": 5,
          "value": 0.0
        },
        {
          "id": 6,
          "value": 0.0
        },
        {
          "id": 7,
          "value": 0.0
        },
        {
          "id": 8,
          "value": 0.0
        },
        {
          "id": 9,
          "value": 0.0
        }
      ],
      "leftModuleId": 520,
      "rightModuleId": 525,
      "pos": [
        71,
        2
      ]
    },
    {
      "id": 525,
      "plugin": "squinkylabs-plug1",
      "version": "1.0.14",
      "model": "squinkylabs-shp",
      "params": [
        {
          "id": 0,
          "value": 1.0
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 0.674999952
        },
        {
          "id": 4,
          "value": 0.399000019
        },
        {
          "id": 5,
          "value": 0.0
        },
        {
          "id": 6,
          "value": 0.0
        }
      ],
      "leftModuleId": 524,
      "rightModuleId": 526,
      "pos": [
        81,
        2
      ]
    },
    {
      "id": 526,
      "plugin": "NYSTHI",
      "version": "1.0.16",
      "model": "mix4",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 0.0
        },
        {
          "id": 4,
          "value": 0.0
        },
        {
          "id": 5,
          "value": 0.0
        },
        {
          "id": 6,
          "value": 0.0
        },
        {
          "id": 7,
          "value": 0.0
        },
        {
          "id": 8,
          "value": 0.0
        },
        {
          "id": 9,
          "value": 0.0
        },
        {
          "id": 10,
          "value": 0.0
        },
        {
          "id": 11,
          "value": 0.0
        },
        {
          "id": 12,
          "value": 0.0
        },
        {
          "id": 13,
          "value": 0.0
        },
        {
          "id": 14,
          "value": 0.0
        },
        {
          "id": 15,
          "value": 0.0
        },
        {
          "id": 16,
          "value": 0.0
        },
        {
          "id": 17,
          "value": 0.0
        },
        {
          "id": 18,
          "value": 0.0
        },
        {
          "id": 19,
          "value": 0.0
        },
        {
          "id": 20,
          "value": 0.0
        },
        {
          "id": 21,
          "value": 0.0
        },
        {
          "id": 22,
          "value": 0.0
        },
        {
          "id": 23,
          "value": 0.0
        }
      ],
      "leftModuleId": 525,
      "rightModuleId": 527,
      "data": {
        "m_channels": [
          0.729984999,
          0.5,
          false,
          false,
          0.229991436,
          0.5,
          false,
          false,
          1.0,
          0.5,
          false,
          false,
          1.0,
          0.5,
          false,
          false
        ],
        "m_master_volume": 1.0,
        "m_master_mute_trig": false,
        "m_low_power": false,
        "m_cvcompatible": true,
        "m_show_post_out": false,
        "m_post_outputs_unaffected_by_solo_mode": false,
        "m_attenuation": 0.5,
        "m_limiting_mode": 0,
        "m_poly_out": 4
      },
      "pos": [
        91,
        2
      ]
    },
    {
      "id": 527,
      "plugin": "NYSTHI",
      "version": "1.0.16",
      "model": "PolyAttackDecaySustainRelease",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.482500046
        },
        {
          "id": 2,
          "value": 0.5
        },
        {
          "id": 3,
          "value": 0.592999995
        },
        {
          "id": 4,
          "value": 0.5
        },
        {
          "id": 5,
          "value": 1.0
        },
        {
          "id": 6,
          "value": 0.0
        },
        {
          "id": 7,
          "value": 0.0
        },
        {
          "id": 8,
          "value": 0.0
        },
        {
          "id": 9,
          "value": 0.0
        },
        {
          "id": 10,
          "value": 0.0
        },
        {
          "id": 11,
          "value": 0.0
        },
        {
          "id": 12,
          "value": 0.0
        },
        {
          "id": 13,
          "value": 0.0
        },
        {
          "id": 14,
          "value": 0.0
        },
        {
          "id": 15,
          "value": 1.0
        },
        {
          "id": 16,
          "value": 1.0
        },
        {
          "id": 17,
          "value": 0.0
        },
        {
          "id": 18,
          "value": 0.0
        },
        {
          "id": 19,
          "value": 0.0
        },
        {
          "id": 20,
          "value": 0.0
        }
      ],
      "leftModuleId": 526,
      "data": {
        "m_ZEROONTRIG": false,
        "m_TRIGIFSTABLE": false,
        "m_EXPONENTIALMODE": false,
        "m_time_range": 10,
        "m_ar_mode": false,
        "m_looped": false,
        "m_base_level": 0.0
      },
      "pos": [
        99,
        2
      ]
    },
    {
      "id": 528,
      "plugin": "CountModula",
      "version": "1.13.0",
      "model": "BasicSequencer8",
      "params": [
        {
          "id": 0,
          "value": 2.0
        },
        {
          "id": 1,
          "value": 2.0
        },
        {
          "id": 2,
          "value": 2.0
        },
        {
          "id": 3,
          "value": 2.0
        },
        {
          "id": 4,
          "value": 2.0
        },
        {
          "id": 5,
          "value": 2.0
        },
        {
          "id": 6,
          "value": 2.0
        },
        {
          "id": 7,
          "value": 2.0
        },
        {
          "id": 8,
          "value": 5.93408823
        },
        {
          "id": 9,
          "value": 0.0729894638
        },
        {
          "id": 10,
          "value": 6.02300167
        },
        {
          "id": 11,
          "value": 2.63475895
        },
        {
          "id": 12,
          "value": 0.995275974
        },
        {
          "id": 13,
          "value": 5.65107632
        },
        {
          "id": 14,
          "value": 1.80871773
        },
        {
          "id": 15,
          "value": 3.2341156
        },
        {
          "id": 16,
          "value": 8.0
        },
        {
          "id": 17,
          "value": 0.0
        },
        {
          "id": 18,
          "value": 2.0
        },
        {
          "id": 19,
          "value": 0.0
        }
      ],
      "rightModuleId": 530,
      "data": {
        "moduleVersion": 1.29999995,
        "currentStep": 0,
        "direction": 0,
        "runState": false,
        "theme": 3
      },
      "pos": [
        0,
        3
      ]
    },
    {
      "id": 529,
      "plugin": "JW-Modules",
      "version": "1.0.17",
      "model": "Quantizer",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 11.0
        }
      ],
      "leftModuleId": 530,
      "rightModuleId": 531,
      "data": {},
      "pos": [
        21,
        3
      ]
    },
    {
      "id": 530,
      "plugin": "Geodesics",
      "version": "1.2.0",
      "model": "Fate",
      "params": [
        {
          "id": 0,
          "value": 0.183000013
        },
        {
          "id": 1,
          "value": -0.342000067
        }
      ],
      "leftModuleId": 528,
      "rightModuleId": 529,
      "data": {
        "panelTheme": 0,
        "holdTrigOut": 0
      },
      "pos": [
        16,
        3
      ]
    },
    {
      "id": 531,
      "plugin": "LindenbergResearch",
      "version": "1.3.3",
      "model": "MicroWolde",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 3.0
        },
        {
          "id": 3,
          "value": 0.0
        }
      ],
      "leftModuleId": 529,
      "rightModuleId": 537,
      "gestaltID": 1,
      "gradient": true,
      "patina": false,
      "patina_i_x": true,
      "patina_i_y": true,
      "patina_a_x": 392.719452,
      "patina_a_y": 153.034714,
      "overlay": false,
      "overlay_r": 0.817243874,
      "overlay_g": 0.797989368,
      "overlay_b": 0.0202428102,
      "overlay_a": 0.186172664,
      "pos": [
        25,
        3
      ]
    },
    {
      "id": 533,
      "plugin": "LindenbergResearch",
      "version": "1.3.3",
      "model": "MicroWolde",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 3.0
        },
        {
          "id": 3,
          "value": 0.0
        }
      ],
      "leftModuleId": 538,
      "rightModuleId": 534,
      "gestaltID": 1,
      "gradient": true,
      "patina": false,
      "patina_i_x": true,
      "patina_i_y": true,
      "patina_a_x": 392.719452,
      "patina_a_y": 153.034714,
      "overlay": false,
      "overlay_r": 0.680382192,
      "overlay_g": 0.846385658,
      "overlay_b": 0.759208918,
      "overlay_a": 0.249281108,
      "pos": [
        58,
        3
      ]
    },
    {
      "id": 534,
      "plugin": "Fundamental",
      "version": "1.4.0",
      "model": "VCA",
      "params": [
        {
          "id": 0,
          "value": 1.0
        },
        {
          "id": 1,
          "value": 1.0
        }
      ],
      "leftModuleId": 533,
      "rightModuleId": 535,
      "pos": [
        66,
        3
      ]
    },
    {
      "id": 535,
      "plugin": "NYSTHI",
      "version": "1.0.16",
      "model": "AttackDecay",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.300000012
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 1.0
        },
        {
          "id": 4,
          "value": 0.5
        },
        {
          "id": 5,
          "value": 0.0
        }
      ],
      "leftModuleId": 534,
      "rightModuleId": 536,
      "data": {
        "m_looped": false
      },
      "pos": [
        71,
        3
      ]
    },
    {
      "id": 536,
      "plugin": "NYSTHI",
      "version": "1.0.16",
      "model": "AttackDecay",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.300000012
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 1.0
        },
        {
          "id": 4,
          "value": 0.5
        },
        {
          "id": 5,
          "value": 0.0
        }
      ],
      "leftModuleId": 535,
      "rightModuleId": 541,
      "data": {
        "m_looped": false
      },
      "pos": [
        73,
        3
      ]
    },
    {
      "id": 537,
      "plugin": "CountModula",
      "version": "1.13.0",
      "model": "BasicSequencer8",
      "params": [
        {
          "id": 0,
          "value": 2.0
        },
        {
          "id": 1,
          "value": 2.0
        },
        {
          "id": 2,
          "value": 2.0
        },
        {
          "id": 3,
          "value": 2.0
        },
        {
          "id": 4,
          "value": 2.0
        },
        {
          "id": 5,
          "value": 2.0
        },
        {
          "id": 6,
          "value": 2.0
        },
        {
          "id": 7,
          "value": 2.0
        },
        {
          "id": 8,
          "value": 3.75768185
        },
        {
          "id": 9,
          "value": 4.06515121
        },
        {
          "id": 10,
          "value": 6.20624065
        },
        {
          "id": 11,
          "value": 1.97782278
        },
        {
          "id": 12,
          "value": 4.44444323
        },
        {
          "id": 13,
          "value": 2.61773157
        },
        {
          "id": 14,
          "value": 2.26469278
        },
        {
          "id": 15,
          "value": 1.31310654
        },
        {
          "id": 16,
          "value": 8.0
        },
        {
          "id": 17,
          "value": 0.0
        },
        {
          "id": 18,
          "value": 2.0
        },
        {
          "id": 19,
          "value": 0.0
        }
      ],
      "leftModuleId": 531,
      "rightModuleId": 539,
      "data": {
        "moduleVersion": 1.29999995,
        "currentStep": 0,
        "direction": 0,
        "runState": false,
        "theme": 3
      },
      "pos": [
        33,
        3
      ]
    },
    {
      "id": 538,
      "plugin": "JW-Modules",
      "version": "1.0.17",
      "model": "Quantizer",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 11.0
        }
      ],
      "leftModuleId": 539,
      "rightModuleId": 533,
      "data": {},
      "pos": [
        54,
        3
      ]
    },
    {
      "id": 539,
      "plugin": "Geodesics",
      "version": "1.2.0",
      "model": "Fate",
      "params": [
        {
          "id": 0,
          "value": 0.3495
        },
        {
          "id": 1,
          "value": 0.353999943
        }
      ],
      "leftModuleId": 537,
      "rightModuleId": 538,
      "data": {
        "panelTheme": 0,
        "holdTrigOut": 0
      },
      "pos": [
        49,
        3
      ]
    },
    {
      "id": 541,
      "plugin": "CountModula",
      "version": "1.13.0",
      "model": "BasicSequencer8",
      "params": [
        {
          "id": 0,
          "value": 2.0
        },
        {
          "id": 1,
          "value": 2.0
        },
        {
          "id": 2,
          "value": 2.0
        },
        {
          "id": 3,
          "value": 2.0
        },
        {
          "id": 4,
          "value": 2.0
        },
        {
          "id": 5,
          "value": 2.0
        },
        {
          "id": 6,
          "value": 2.0
        },
        {
          "id": 7,
          "value": 2.0
        },
        {
          "id": 8,
          "value": 1.20168149
        },
        {
          "id": 9,
          "value": 1.26915133
        },
        {
          "id": 10,
          "value": 1.2862407
        },
        {
          "id": 11,
          "value": 1.97782278
        },
        {
          "id": 12,
          "value": 3.01644301
        },
        {
          "id": 13,
          "value": 1.15373158
        },
        {
          "id": 14,
          "value": 2.26469278
        },
        {
          "id": 15,
          "value": 0.540000021
        },
        {
          "id": 16,
          "value": 8.0
        },
        {
          "id": 17,
          "value": 0.0
        },
        {
          "id": 18,
          "value": 2.0
        },
        {
          "id": 19,
          "value": 0.0
        }
      ],
      "leftModuleId": 536,
      "rightModuleId": 574,
      "data": {
        "moduleVersion": 1.29999995,
        "currentStep": 0,
        "direction": 0,
        "runState": false,
        "theme": 3
      },
      "pos": [
        75,
        3
      ]
    },
    {
      "id": 542,
      "plugin": "LindenbergResearch",
      "version": "1.3.3",
      "model": "MS20_VCF",
      "params": [
        {
          "id": 0,
          "value": 0.296999693
        },
        {
          "id": 1,
          "value": 0.40350011
        },
        {
          "id": 2,
          "value": 0.471000016
        },
        {
          "id": 3,
          "value": 0.481600016
        },
        {
          "id": 4,
          "value": 0.0
        },
        {
          "id": 5,
          "value": 0.0
        },
        {
          "id": 6,
          "value": 0.0
        }
      ],
      "leftModuleId": 546,
      "rightModuleId": 543,
      "gestaltID": 1,
      "gradient": true,
      "patina": false,
      "patina_i_x": false,
      "patina_i_y": false,
      "patina_a_x": 1031.34338,
      "patina_a_y": 223.705872,
      "overlay": false,
      "overlay_r": 0.76598841,
      "overlay_g": 0.998859346,
      "overlay_b": 0.221105218,
      "overlay_a": 0.262806088,
      "pos": [
        103,
        3
      ]
    },
    {
      "id": 543,
      "plugin": "LindenbergResearch",
      "version": "1.3.3",
      "model": "QuickMixer",
      "params": [
        {
          "id": 0,
          "value": 1.0
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 0.0
        },
        {
          "id": 4,
          "value": 0.0
        },
        {
          "id": 5,
          "value": -0.167399943
        },
        {
          "id": 6,
          "value": 0.67414993
        }
      ],
      "leftModuleId": 542,
      "rightModuleId": 544,
      "gestaltID": 1,
      "gradient": true,
      "patina": false,
      "patina_i_x": false,
      "patina_i_y": false,
      "patina_a_x": 5.92342091,
      "patina_a_y": 112.801941,
      "overlay": false,
      "overlay_r": 0.656634688,
      "overlay_g": 0.312478185,
      "overlay_b": 0.43974489,
      "overlay_a": 0.218041956,
      "pos": [
        115,
        3
      ]
    },
    {
      "id": 544,
      "plugin": "NYSTHI",
      "version": "1.0.16",
      "model": "AttackDecay",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.263500005
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 1.0
        },
        {
          "id": 4,
          "value": 0.5
        },
        {
          "id": 5,
          "value": 0.0
        }
      ],
      "leftModuleId": 543,
      "rightModuleId": 545,
      "data": {
        "m_looped": false
      },
      "pos": [
        122,
        3
      ]
    },
    {
      "id": 545,
      "plugin": "NYSTHI",
      "version": "1.0.16",
      "model": "AttackDecay",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.245499969
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 1.0
        },
        {
          "id": 4,
          "value": 0.5
        },
        {
          "id": 5,
          "value": 0.0
        }
      ],
      "leftModuleId": 544,
      "data": {
        "m_looped": false
      },
      "pos": [
        124,
        3
      ]
    },
    {
      "id": 546,
      "plugin": "LindenbergResearch",
      "version": "1.3.3",
      "model": "MicroWolde",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": -2.0
        },
        {
          "id": 2,
          "value": 1.16999996
        },
        {
          "id": 3,
          "value": 0.0
        }
      ],
      "leftModuleId": 574,
      "rightModuleId": 542,
      "gestaltID": 1,
      "gradient": true,
      "patina": false,
      "patina_i_x": true,
      "patina_i_y": true,
      "patina_a_x": 392.719452,
      "patina_a_y": 153.034714,
      "overlay": false,
      "overlay_r": 0.633024752,
      "overlay_g": 0.225070357,
      "overlay_b": 0.0692245364,
      "overlay_a": 0.150319308,
      "pos": [
        95,
        3
      ]
    },
    {
      "id": 547,
      "plugin": "Bidoo",
      "version": "1.1.28",
      "model": "liMonADe",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 0.0
        },
        {
          "id": 4,
          "value": 0.0
        },
        {
          "id": 5,
          "value": 0.337500006
        },
        {
          "id": 6,
          "value": 0.367500007
        },
        {
          "id": 7,
          "value": 1.0
        },
        {
          "id": 8,
          "value": 1.0
        },
        {
          "id": 9,
          "value": 0.0
        },
        {
          "id": 10,
          "value": 0.0
        },
        {
          "id": 11,
          "value": 0.0
        },
        {
          "id": 12,
          "value": 0.0
        },
        {
          "id": 13,
          "value": 0.0
        },
        {
          "id": 14,
          "value": 0.0
        },
        {
          "id": 15,
          "value": 0.0
        },
        {
          "id": 16,
          "value": 0.0
        },
        {
          "id": 17,
          "value": 0.0
        },
        {
          "id": 18,
          "value": 0.0
        },
        {
          "id": 19,
          "value": 0.0
        },
        {
          "id": 20,
          "value": 0.0
        },
        {
          "id": 21,
          "value": 0.0
        },
        {
          "id": 22,
          "value": 0.0
        },
        {
          "id": 23,
          "value": 0.0
        },
        {
          "id": 24,
          "value": 0.0
        },
        {
          "id": 25,
          "value": 0.0
        },
        {
          "id": 26,
          "value": 0.0
        },
        {
          "id": 27,
          "value": 0.0
        },
        {
          "id": 28,
          "value": 0.0
        },
        {
          "id": 29,
          "value": 0.0
        },
        {
          "id": 30,
          "value": 0.0
        },
        {
          "id": 31,
          "value": 0.0
        }
      ],
      "leftModuleId": 564,
      "rightModuleId": 561,
      "data": {
        "nFrames": 128,
        "morphType": -1,
        "displayMode": 0,
        "displayEditedFrame": 0,
        "displayPlayedFrame": 0,
        "frameSize": 2048,
        "frames": [
          [
            0.350980461,
            0.3502509,
            0.349521369,
            0.348791808,
            0.348062277,
            0.347332716,
            0.346603155,
            0.345873624,
            0.345144063,
            0.344414502,
            0.343684971,
            0.34295541,
            0.342225879,
            0.341496319,
            0.340766758,
            0.340037227,
            0.339307666,
            0.338365585,
            0.337392837,
            0.336420119,
            0.335447371,
            0.334474653,
            0.333501905,
            0.332529187,
            0.331556439,
            0.330583721,
            0.329610974,
            0.328638256,
            0.327665508,
            0.32669279,
            0.325720042,
            0.324747324,
            0.323774576,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323259503,
            0.322529942,
            0.321800381,
            0.32107085,
            0.320341289,
            0.319611728,
            0.318882197,
            0.318152636,
            0.317423105,
            0.316693544,
            0.315963984,
            0.315234452,
            0.314504892,
            0.313775361,
            0.3130458,
            0.312316239,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.312488586,
            0.313218117,
            0.313947678,
            0.314677238,
            0.31540677,
            0.31613633,
            0.316865891,
            0.317595422,
            0.318324983,
            0.319054514,
            0.319784075,
            0.320513636,
            0.321243167,
            0.321972728,
            0.322702289,
            0.32343182,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.324004352,
            0.3249771,
            0.325949818,
            0.326922566,
            0.327895284,
            0.328868032,
            0.32984075,
            0.330813497,
            0.331786215,
            0.332758963,
            0.333731681,
            0.334704429,
            0.335677147,
            0.336649895,
            0.337622613,
            0.338595361,
            0.339480013,
            0.340209544,
            0.340939105,
            0.341668665,
            0.342398196,
            0.343127757,
            0.343857288,
            0.344586849,
            0.34531641,
            0.346045941,
            0.346775502,
            0.347505033,
            0.348234594,
            0.348964155,
            0.349693686,
            0.350423247,
            0.351152807,
            0.351882339,
            0.352611899,
            0.35334143,
            0.354070991,
            0.354800552,
            0.355530083,
            0.356259644,
            0.356989205,
            0.357718736,
            0.358448297,
            0.359177828,
            0.359907389,
            0.36063695,
            0.361366481,
            0.362096041,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362210929,
            0.361481369,
            0.360751837,
            0.360022277,
            0.359292716,
            0.358563185,
            0.357833624,
            0.357104093,
            0.356374532,
            0.355644971,
            0.35491544,
            0.354185879,
            0.353456318,
            0.352726787,
            0.351997226,
            0.351267695,
            0.350538135,
            0.349808574,
            0.349079043,
            0.348349482,
            0.347619951,
            0.34689039,
            0.346160829,
            0.345431298,
            0.344701737,
            0.343972176,
            0.343242645,
            0.342513084,
            0.341783553,
            0.341053993,
            0.340324432,
            0.339594901,
            0.338748544,
            0.337775797,
            0.336803079,
            0.335830331,
            0.334857613,
            0.333884865,
            0.332912147,
            0.331939399,
            0.330966681,
            0.329993933,
            0.329021215,
            0.328048468,
            0.32707575,
            0.326103002,
            0.325130284,
            0.324157536,
            0.323270977,
            0.322541416,
            0.321811885,
            0.321082324,
            0.320352793,
            0.319623232,
            0.318893671,
            0.31816414,
            0.317434579,
            0.316705048,
            0.315975487,
            0.315245926,
            0.314516395,
            0.313786834,
            0.313057274,
            0.312327743,
            0.311598182,
            0.310868651,
            0.31013909,
            0.309409529,
            0.308679998,
            0.307950437,
            0.307220876,
            0.306491345,
            0.305761784,
            0.305032253,
            0.304302692,
            0.303573132,
            0.302843601,
            0.30211404,
            0.301384479,
            0.300654948,
            0.299925387,
            0.299195856,
            0.298466295,
            0.297736734,
            0.297007203,
            0.296277642,
            0.295548081,
            0.29481855,
            0.294088989,
            0.293359458,
            0.292629898,
            0.291900337,
            0.291170806,
            0.290441245,
            0.289711714,
            0.288982153,
            0.288252592,
            0.286573291,
            0.284871012,
            0.283168733,
            0.281466454,
            0.279764175,
            0.278061897,
            0.276359588,
            0.274657309,
            0.27295503,
            0.271252751,
            0.269550472,
            0.267848194,
            0.266145915,
            0.264443636,
            0.262741327,
            0.261039048,
            0.258923173,
            0.25673452,
            0.254545867,
            0.252357215,
            0.250168562,
            0.247979909,
            0.245791256,
            0.243602604,
            0.241413951,
            0.239225298,
            0.237036645,
            0.234847993,
            0.23265934,
            0.230470687,
            0.228282034,
            0.226093382,
            0.224433228,
            0.222974136,
            0.221515045,
            0.220055938,
            0.218596846,
            0.217137754,
            0.215678662,
            0.214219555,
            0.212760463,
            0.211301371,
            0.20984228,
            0.208383173,
            0.206924081,
            0.205464989,
            0.204005897,
            0.202546805,
            0.201378748,
            0.200406015,
            0.199433282,
            0.198460549,
            0.197487801,
            0.196515068,
            0.195542336,
            0.194569603,
            0.193596855,
            0.192624122,
            0.191651389,
            0.190678656,
            0.189705908,
            0.188733175,
            0.187760442,
            0.18678771,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185769022,
            0.184309915,
            0.182850823,
            0.181391731,
            0.179932639,
            0.178473532,
            0.17701444,
            0.175555348,
            0.174096256,
            0.17263715,
            0.171178058,
            0.169718966,
            0.168259874,
            0.166800767,
            0.165341675,
            0.163882583,
            0.162423491,
            0.160964385,
            0.159505278,
            0.158046171,
            0.156587079,
            0.155127972,
            0.153668866,
            0.152209759,
            0.150750667,
            0.14929156,
            0.147832453,
            0.146373361,
            0.144914255,
            0.143455148,
            0.141996041,
            0.140536949,
            0.139054865,
            0.137352586,
            0.135650292,
            0.133948013,
            0.132245734,
            0.130543455,
            0.128841162,
            0.127138883,
            0.125436604,
            0.123734318,
            0.122032039,
            0.120329753,
            0.118627474,
            0.116925195,
            0.115222909,
            0.113520622,
            0.111818343,
            0.110351585,
            0.108892485,
            0.107433386,
            0.105974287,
            0.104515187,
            0.103056088,
            0.101596989,
            0.100137889,
            0.09867879,
            0.0972196907,
            0.0957605913,
            0.094301492,
            0.0928424001,
            0.0913832933,
            0.0899242014,
            0.0884650946,
            0.0861864537,
            0.0837546214,
            0.0813227892,
            0.0788909569,
            0.0764591247,
            0.0740272924,
            0.0715954602,
            0.0691636279,
            0.0667317957,
            0.0642999634,
            0.0618681312,
            0.0594362989,
            0.0570044667,
            0.0545726381,
            0.0521408059,
            0.0497089736,
            0.0479741395,
            0.0465150401,
            0.0450559407,
            0.0435968414,
            0.042137742,
            0.0406786427,
            0.0392195433,
            0.037760444,
            0.0363013446,
            0.0348422453,
            0.0333831459,
            0.0319240466,
            0.0304649491,
            0.0290058497,
            0.0275467504,
            0.026087651,
            0.0250593871,
            0.0243298374,
            0.0236002896,
            0.0228707399,
            0.0221411902,
            0.0214116406,
            0.0206820909,
            0.0199525412,
            0.0192229915,
            0.0184934419,
            0.0177638922,
            0.0170343425,
            0.0163047928,
            0.0155752432,
            0.0148456935,
            0.0141161438,
            0.0133865941,
            0.0126570445,
            0.0119274957,
            0.011197946,
            0.0104683964,
            0.00973884668,
            0.00900929701,
            0.00827974733,
            0.00755019765,
            0.00682064844,
            0.00609109877,
            0.00536154956,
            0.00463199988,
            0.0039024502,
            0.00317290053,
            0.00244335085,
            0.00163146353,
            0.000658730743,
            -0.000314001925,
            -0.00128673483,
            -0.00225946773,
            -0.00323220063,
            -0.00420493307,
            -0.00517766597,
            -0.0061503984,
            -0.0071231313,
            -0.00809586421,
            -0.00906859711,
            -0.01004133,
            -0.0110140629,
            -0.0119867958,
            -0.0129595287,
            -0.0138805611,
            -0.0146101099,
            -0.0153396595,
            -0.0160692092,
            -0.0167987589,
            -0.0175283086,
            -0.0182578582,
            -0.0189874079,
            -0.0197169576,
            -0.0204465073,
            -0.0211760569,
            -0.0219056066,
            -0.0226351544,
            -0.0233647041,
            -0.0240942538,
            -0.0248238035,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0260990802,
            -0.0268286299,
            -0.0275581796,
            -0.0282877292,
            -0.0290172789,
            -0.0297468286,
            -0.0304763783,
            -0.031205928,
            -0.0319354758,
            -0.0326650254,
            -0.0333945751,
            -0.0341241248,
            -0.0348536745,
            -0.0355832241,
            -0.0363127738,
            -0.0370423235,
            -0.0377718732,
            -0.0385014229,
            -0.0392309725,
            -0.0399605222,
            -0.0406900719,
            -0.0414196216,
            -0.0421491712,
            -0.0428787209,
            -0.0436082706,
            -0.0443378203,
            -0.0450673699,
            -0.0457969196,
            -0.0465264693,
            -0.047256019,
            -0.0479855686,
            -0.0487151183,
            -0.050011456,
            -0.0517137386,
            -0.0534160212,
            -0.0551183037,
            -0.0568205863,
            -0.0585228689,
            -0.0602251515,
            -0.0619274341,
            -0.0636297166,
            -0.0653319955,
            -0.0670342818,
            -0.0687365606,
            -0.0704388469,
            -0.0721411258,
            -0.0738434121,
            -0.075545691,
            -0.0771369115,
            -0.0785960108,
            -0.0800551102,
            -0.0815142095,
            -0.0829733089,
            -0.0844324082,
            -0.0858915076,
            -0.0873506069,
            -0.0888097063,
            -0.0902688056,
            -0.091727905,
            -0.0931870043,
            -0.0946461037,
            -0.096105203,
            -0.0975643024,
            -0.0990234017,
            -0.100482501,
            -0.1019416,
            -0.1034007,
            -0.104859799,
            -0.106318898,
            -0.107777998,
            -0.109237097,
            -0.110696197,
            -0.112155296,
            -0.113614395,
            -0.115073495,
            -0.116532594,
            -0.117991693,
            -0.119450793,
            -0.120909892,
            -0.122368991,
            -0.123728514,
            -0.124701254,
            -0.12567398,
            -0.126646727,
            -0.12761946,
            -0.128592193,
            -0.129564926,
            -0.130537659,
            -0.131510392,
            -0.132483125,
            -0.133455858,
            -0.134428591,
            -0.135401338,
            -0.136374071,
            -0.137346804,
            -0.138319537,
            -0.139330566,
            -0.140789673,
            -0.142248765,
            -0.143707871,
            -0.145166963,
            -0.14662607,
            -0.148085162,
            -0.149544269,
            -0.151003361,
            -0.152462453,
            -0.153921559,
            -0.155380666,
            -0.156839758,
            -0.15829885,
            -0.159757957,
            -0.161217064,
            -0.162676156,
            -0.164135247,
            -0.165594354,
            -0.167053446,
            -0.168512553,
            -0.169971645,
            -0.171430752,
            -0.172889844,
            -0.17434895,
            -0.175808042,
            -0.177267149,
            -0.178726241,
            -0.180185348,
            -0.18164444,
            -0.183103547,
            -0.184562638,
            -0.186021745,
            -0.186877668,
            -0.187607214,
            -0.188336775,
            -0.189066321,
            -0.189795867,
            -0.190525413,
            -0.191254973,
            -0.191984519,
            -0.192714065,
            -0.193443611,
            -0.194173172,
            -0.194902718,
            -0.195632264,
            -0.19636181,
            -0.197091371,
            -0.197820917,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197711766,
            -0.19698222,
            -0.196252674,
            -0.195523113,
            -0.194793567,
            -0.194064021,
            -0.193334475,
            -0.192604914,
            -0.191875368,
            -0.191145822,
            -0.190416276,
            -0.189686716,
            -0.18895717,
            -0.188227624,
            -0.187498078,
            -0.186768532,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186871931,
            -0.187601477,
            -0.188331023,
            -0.189060569,
            -0.18979013,
            -0.190519676,
            -0.191249222,
            -0.191978768,
            -0.192708328,
            -0.193437874,
            -0.19416742,
            -0.194896966,
            -0.195626527,
            -0.196356073,
            -0.197085619,
            -0.197815165,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197717518,
            -0.196987957,
            -0.196258411,
            -0.195528865,
            -0.194799319,
            -0.194069758,
            -0.193340212,
            -0.192610666,
            -0.19188112,
            -0.191151559,
            -0.190422013,
            -0.189692467,
            -0.188962922,
            -0.188233376,
            -0.187503815,
            -0.186774269,
            -0.186044723,
            -0.185315177,
            -0.184585616,
            -0.18385607,
            -0.183126524,
            -0.182396978,
            -0.181667417,
            -0.180937871,
            -0.180208325,
            -0.179478779,
            -0.178749219,
            -0.178019673,
            -0.177290127,
            -0.176560581,
            -0.17583102,
            -0.175101474,
            -0.174234062,
            -0.172774956,
            -0.171315864,
            -0.169856757,
            -0.168397665,
            -0.166938558,
            -0.165479466,
            -0.16402036,
            -0.162561268,
            -0.161102161,
            -0.159643069,
            -0.158183962,
            -0.15672487,
            -0.155265763,
            -0.153806672,
            -0.152347565,
            -0.150934428,
            -0.150204882,
            -0.149475321,
            -0.148745775,
            -0.148016229,
            -0.147286683,
            -0.146557122,
            -0.145827577,
            -0.145098031,
            -0.144368485,
            -0.143638939,
            -0.142909378,
            -0.142179832,
            -0.141450286,
            -0.14072074,
            -0.139991179,
            -0.139261633,
            -0.138304219,
            -0.137331486,
            -0.136358753,
            -0.13538602,
            -0.134413272,
            -0.133440539,
            -0.132467806,
            -0.131495073,
            -0.130522341,
            -0.129549608,
            -0.128576875,
            -0.127604142,
            -0.126631409,
            -0.125658661,
            -0.124685936,
            -0.123713195,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.12419574,
            -0.125168473,
            -0.126141205,
            -0.127113938,
            -0.128086671,
            -0.129059404,
            -0.130032137,
            -0.131004885,
            -0.131977618,
            -0.132950351,
            -0.133923084,
            -0.134895816,
            -0.135868549,
            -0.136841282,
            -0.137814015,
            -0.138786763,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139531627,
            -0.140261173,
            -0.140990719,
            -0.14172028,
            -0.142449826,
            -0.143179372,
            -0.143908918,
            -0.144638479,
            -0.145368025,
            -0.146097571,
            -0.146827117,
            -0.147556663,
            -0.148286223,
            -0.149015769,
            -0.149745315,
            -0.150474876,
            -0.151428446,
            -0.152887553,
            -0.154346645,
            -0.155805752,
            -0.157264844,
            -0.15872395,
            -0.160183042,
            -0.161642149,
            -0.163101241,
            -0.164560348,
            -0.16601944,
            -0.167478547,
            -0.168937638,
            -0.170396745,
            -0.171855837,
            -0.173314944,
            -0.174774036,
            -0.176233143,
            -0.177692235,
            -0.179151341,
            -0.180610433,
            -0.18206954,
            -0.183528632,
            -0.184987739,
            -0.186446831,
            -0.187905937,
            -0.189365029,
            -0.190824136,
            -0.192283228,
            -0.193742335,
            -0.195201427,
            -0.196660534,
            -0.198092818,
            -0.199065551,
            -0.200038284,
            -0.201011017,
            -0.20198375,
            -0.202956483,
            -0.203929216,
            -0.204901949,
            -0.205874681,
            -0.206847414,
            -0.207820147,
            -0.20879288,
            -0.209765613,
            -0.210738346,
            -0.211711079,
            -0.212683812,
            -0.213656545,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.214311421,
            -0.215040967,
            -0.215770513,
            -0.216500059,
            -0.21722962,
            -0.217959166,
            -0.218688712,
            -0.219418257,
            -0.220147818,
            -0.220877364,
            -0.22160691,
            -0.222336456,
            -0.223066002,
            -0.223795563,
            -0.224525109,
            -0.225254655,
            -0.225984216,
            -0.226713762,
            -0.227443308,
            -0.228172854,
            -0.2289024,
            -0.22963196,
            -0.230361506,
            -0.231091052,
            -0.231820598,
            -0.232550159,
            -0.233279705,
            -0.234009251,
            -0.234738797,
            -0.235468358,
            -0.236197904,
            -0.23692745,
            -0.237656996,
            -0.238386557,
            -0.239116102,
            -0.239845648,
            -0.240575194,
            -0.241304755,
            -0.242034301,
            -0.242763847,
            -0.243493393,
            -0.244222954,
            -0.2449525,
            -0.245682046,
            -0.246411592,
            -0.247141153,
            -0.247870699,
            -0.248600245,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.248439401,
            -0.247709855,
            -0.246980295,
            -0.246250749,
            -0.245521203,
            -0.244791657,
            -0.244062096,
            -0.24333255,
            -0.242603004,
            -0.241873458,
            -0.241143897,
            -0.240414351,
            -0.239684805,
            -0.238955259,
            -0.238225698,
            -0.237496153,
            -0.236766607,
            -0.236037061,
            -0.235307515,
            -0.234577954,
            -0.233848408,
            -0.233118862,
            -0.232389316,
            -0.231659755,
            -0.230930209,
            -0.230200663,
            -0.229471117,
            -0.228741556,
            -0.22801201,
            -0.227282465,
            -0.226552919,
            -0.225823358,
            -0.225093812,
            -0.224364266,
            -0.22363472,
            -0.222905159,
            -0.222175613,
            -0.221446067,
            -0.220716521,
            -0.21998696,
            -0.219257414,
            -0.218527868,
            -0.217798322,
            -0.217068762,
            -0.216339216,
            -0.21560967,
            -0.214880124,
            -0.214150563,
            -0.213015079,
            -0.211312801,
            -0.209610507,
            -0.207908228,
            -0.206205949,
            -0.20450367,
            -0.202801377,
            -0.201099098,
            -0.199396819,
            -0.19769454,
            -0.195992246,
            -0.194289967,
            -0.192587689,
            -0.19088541,
            -0.189183116,
            -0.187480837,
            -0.185849413,
            -0.184390306,
            -0.182931215,
            -0.181472108,
            -0.180013016,
            -0.178553909,
            -0.177094817,
            -0.17563571,
            -0.174176618,
            -0.172717512,
            -0.17125842,
            -0.169799313,
            -0.168340221,
            -0.166881114,
            -0.165422022,
            -0.163962916,
            -0.162503824,
            -0.161044717,
            -0.159585625,
            -0.158126518,
            -0.156667426,
            -0.155208319,
            -0.153749228,
            -0.152290121,
            -0.150831029,
            -0.149371922,
            -0.14791283,
            -0.146453723,
            -0.144994631,
            -0.143535525,
            -0.142076433,
            -0.140617326,
            -0.139148653,
            -0.137446374,
            -0.13574408,
            -0.134041801,
            -0.132339507,
            -0.130637228,
            -0.12893495,
            -0.127232656,
            -0.125530377,
            -0.123828083,
            -0.122125797,
            -0.120423511,
            -0.118721224,
            -0.117018938,
            -0.115316652,
            -0.113614365,
            -0.111912079,
            -0.109765559,
            -0.107576914,
            -0.105388269,
            -0.103199616,
            -0.101010971,
            -0.0988223255,
            -0.0966336802,
            -0.0944450349,
            -0.0922563821,
            -0.0900677368,
            -0.0878790915,
            -0.0856904462,
            -0.0835018009,
            -0.0813131481,
            -0.0791245028,
            -0.0769358575,
            -0.0751301721,
            -0.0734278932,
            -0.0717256069,
            -0.0700233281,
            -0.0683210418,
            -0.0666187629,
            -0.0649164766,
            -0.0632141978,
            -0.0615119152,
            -0.0598096326,
            -0.05810735,
            -0.0564050674,
            -0.0547027849,
            -0.0530005023,
            -0.0512982234,
            -0.0495959371,
            -0.0480545014,
            -0.0465954021,
            -0.0451363027,
            -0.0436772034,
            -0.042218104,
            -0.0407590047,
            -0.0392999053,
            -0.0378408059,
            -0.0363817066,
            -0.0349226072,
            -0.0334635079,
            -0.0320044085,
            -0.030545311,
            -0.0290862117,
            -0.0276271123,
            -0.0261680149,
            -0.0245787073,
            -0.0228764247,
            -0.0211741421,
            -0.0194718596,
            -0.017769577,
            -0.0160672944,
            -0.0143650118,
            -0.0126627302,
            -0.0109604476,
            -0.00925816596,
            -0.00755588338,
            -0.0058536008,
            -0.00415131822,
            -0.00244903564,
            -0.000746753067,
            0.000955529511,
            0.00255824043,
            0.00401733955,
            0.00547643891,
            0.00693553779,
            0.00839463715,
            0.0098537365,
            0.0113128358,
            0.0127719343,
            0.0142310336,
            0.015690133,
            0.0171492323,
            0.0186083317,
            0.020067431,
            0.0215265304,
            0.0229856297,
            0.0244447272,
            0.0259038266,
            0.0273629259,
            0.0288220253,
            0.0302811246,
            0.0317402259,
            0.0331993252,
            0.0346584246,
            0.0361175202,
            0.0375766195,
            0.0390357189,
            0.0404948182,
            0.0419539176,
            0.0434130169,
            0.0448721163,
            0.0463312156,
            0.047790315,
            0.049402602,
            0.0518344343,
            0.0542662628,
            0.0566980951,
            0.0591299273,
            0.0615617596,
            0.0639935881,
            0.0664254278,
            0.0688572526,
            0.0712890923,
            0.0737209171,
            0.0761527494,
            0.0785845816,
            0.0810164213,
            0.0834482461,
            0.0858800784,
            0.0883042514,
            0.0904929042,
            0.0926815495,
            0.0948702022,
            0.0970588475,
            0.0992475003,
            0.101436146,
            0.103624791,
            0.105813444,
            0.108002089,
            0.110190742,
            0.112379387,
            0.11456804,
            0.116756685,
            0.118945338,
            0.121133983,
            0.123322636,
            0.125731483,
            0.128163323,
            0.130595163,
            0.133027002,
            0.135458827,
            0.137890667,
            0.140322506,
            0.142754346,
            0.145186171,
            0.147618011,
            0.15004985,
            0.152481675,
            0.154913515,
            0.157345355,
            0.159777194,
            0.162209034,
            0.163882583,
            0.165341675,
            0.166800767,
            0.168259874,
            0.169718966,
            0.171178058,
            0.17263715,
            0.174096256,
            0.175555348,
            0.17701444,
            0.178473532,
            0.179932639,
            0.181391731,
            0.182850823,
            0.184309915,
            0.185769022,
            0.186910257,
            0.18788299,
            0.188855723,
            0.18982847,
            0.190801203,
            0.191773936,
            0.192746669,
            0.193719417,
            0.19469215,
            0.195664883,
            0.196637616,
            0.197610348,
            0.198583096,
            0.199555829,
            0.200528562,
            0.201501295,
            0.202345744,
            0.20307529,
            0.203804836,
            0.204534382,
            0.205263928,
            0.205993474,
            0.206723019,
            0.207452565,
            0.208182111,
            0.208911657,
            0.209641203,
            0.210370749,
            0.211100295,
            0.211829841,
            0.212559387,
            0.213288933,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213926569,
            0.214656115,
            0.215385661,
            0.216115206,
            0.216844767,
            0.217574313,
            0.218303859,
            0.219033405,
            0.219762966,
            0.220492512,
            0.221222058,
            0.221951604,
            0.222681165,
            0.223410711,
            0.224140257,
            0.224869803,
            0.225599363,
            0.226328909,
            0.227058455,
            0.227788001,
            0.228517562,
            0.229247108,
            0.229976654,
            0.2307062,
            0.231435761,
            0.232165307,
            0.232894853,
            0.233624399,
            0.23435396,
            0.235083506,
            0.235813051,
            0.236542597,
            0.237272158,
            0.238001704,
            0.23873125,
            0.239460796,
            0.240190357,
            0.240919903,
            0.241649449,
            0.242378995,
            0.243108541,
            0.243838102,
            0.244567648,
            0.245297194,
            0.246026739,
            0.2467563,
            0.247485846,
            0.248215392,
            0.248944938,
            0.249674499,
            0.25040406,
            0.251133591,
            0.251863152,
            0.252592713,
            0.253322273,
            0.254051805,
            0.254781365,
            0.255510926,
            0.256240487,
            0.256970018,
            0.257699579,
            0.25842914,
            0.259158701,
            0.259888232,
            0.260617793,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.261412442,
            0.26238519,
            0.263357937,
            0.264330655,
            0.265303403,
            0.266276121,
            0.267248869,
            0.268221617,
            0.269194335,
            0.270167083,
            0.27113983,
            0.272112548,
            0.273085296,
            0.274058014,
            0.275030762,
            0.27600351,
            0.276849866,
            0.277579397,
            0.278308958,
            0.279038489,
            0.27976805,
            0.280497581,
            0.281227142,
            0.281956673,
            0.282686234,
            0.283415765,
            0.284145325,
            0.284874856,
            0.285604417,
            0.286333948,
            0.287063509,
            0.28779304,
            0.288522601,
            0.289252132,
            0.289981693,
            0.290711254,
            0.291440785,
            0.292170346,
            0.292899877,
            0.293629438,
            0.294358999,
            0.29508853,
            0.29581809,
            0.296547651,
            0.297277182,
            0.298006743,
            0.298736274,
            0.299465835,
            0.300195396,
            0.300924927,
            0.301654488,
            0.302384019,
            0.30311358,
            0.303843141,
            0.304572672,
            0.305302233,
            0.306031793,
            0.306761324,
            0.307490885,
            0.308220416,
            0.308949977,
            0.309679538,
            0.310409069,
            0.31113863,
            0.312006056,
            0.313708335,
            0.315410614,
            0.317112893,
            0.318815172,
            0.320517451,
            0.322219729,
            0.323922008,
            0.325624317,
            0.327326596,
            0.329028875,
            0.330731153,
            0.332433432,
            0.334135711,
            0.33583799,
            0.337540269,
            0.339227259,
            0.33995679,
            0.340686351,
            0.341415882,
            0.342145443,
            0.342875004,
            0.343604535,
            0.344334096,
            0.345063627,
            0.345793188,
            0.346522748,
            0.34725228,
            0.34798184,
            0.348711401,
            0.349440932,
            0.350170493,
            0.350900024,
            0.351629585,
            0.352359146,
            0.353088677,
            0.353818238,
            0.354547799,
            0.35527733,
            0.356006891,
            0.356736422,
            0.357465982,
            0.358195543,
            0.358925074,
            0.359654635,
            0.360384196,
            0.361113727,
            0.361843288,
            0.362572819,
            0.36330238,
            0.364031941,
            0.364761472,
            0.365491033,
            0.366220593,
            0.366950125,
            0.367679685,
            0.368409216,
            0.369138777,
            0.369868338,
            0.370597869,
            0.37132743,
            0.372056961,
            0.372786522,
            0.373516083,
            0.374245614,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374320298,
            0.373590767,
            0.372861207,
            0.372131646,
            0.371402115,
            0.370672554,
            0.369942993,
            0.369213462,
            0.368483901,
            0.36775437,
            0.367024809,
            0.366295248,
            0.365565717,
            0.364836156,
            0.364106596,
            0.363377064,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362750918,
            0.363480449,
            0.36421001,
            0.36493957,
            0.365669101,
            0.366398662,
            0.367128193,
            0.367857754,
            0.368587315,
            0.369316846,
            0.370046407,
            0.370775968,
            0.371505499,
            0.37223506,
            0.372964591,
            0.373694152,
            0.374423712,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.373958409,
            0.373228848,
            0.372499287,
            0.371769756,
            0.371040195,
            0.370310664,
            0.369581103,
            0.368851542,
            0.368122011,
            0.367392451,
            0.36666292,
            0.365933359,
            0.365203798,
            0.364474267,
            0.363744706,
            0.363015145,
            0.362285614,
            0.361556053,
            0.360826522,
            0.360096961,
            0.3593674,
            0.358637869,
            0.357908309,
            0.357178748,
            0.356449217,
            0.355719656,
            0.354990125,
            0.354260564,
            0.353531003,
            0.352801472,
            0.352071911,
            0.35134235,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461
          ],
          [
            0.339215755,
            0.338243037,
            0.33727029,
            0.336297572,
            0.335324824,
            0.334352106,
            0.333379358,
            0.33240664,
            0.331433892,
            0.330461174,
            0.329488426,
            0.328515708,
            0.327542961,
            0.326570243,
            0.325597495,
            0.324624777,
            0.323652029,
            0.322254211,
            0.320795119,
            0.319335997,
            0.317876905,
            0.316417813,
            0.314958721,
            0.3134996,
            0.312040508,
            0.310581416,
            0.309122324,
            0.307663202,
            0.30620411,
            0.304745018,
            0.303285927,
            0.301826805,
            0.300367713,
            0.300545812,
            0.301275343,
            0.302004904,
            0.302734435,
            0.303463995,
            0.304193556,
            0.304923087,
            0.305652648,
            0.306382179,
            0.30711174,
            0.307841301,
            0.308570832,
            0.309300393,
            0.310029954,
            0.310759485,
            0.311489046,
            0.311310977,
            0.310581416,
            0.309851855,
            0.309122324,
            0.308392763,
            0.307663202,
            0.306933671,
            0.30620411,
            0.305474579,
            0.304745018,
            0.304015458,
            0.303285927,
            0.302556366,
            0.301826805,
            0.301097274,
            0.300367713,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.299730092,
            0.299000531,
            0.298270971,
            0.29754144,
            0.296811879,
            0.296082318,
            0.295352787,
            0.294623226,
            0.293893695,
            0.293164134,
            0.292434573,
            0.291705042,
            0.290975481,
            0.29024595,
            0.289516389,
            0.288786829,
            0.288413435,
            0.289142996,
            0.289872557,
            0.290602088,
            0.291331649,
            0.29206118,
            0.292790741,
            0.293520302,
            0.294249833,
            0.294979393,
            0.295708954,
            0.296438485,
            0.297168046,
            0.297897577,
            0.298627138,
            0.299356699,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300723881,
            0.301453412,
            0.302182972,
            0.302912533,
            0.303642064,
            0.304371625,
            0.305101186,
            0.305830717,
            0.306560278,
            0.307289809,
            0.30801937,
            0.308748931,
            0.309478462,
            0.310208023,
            0.310937583,
            0.311667114,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.312304765,
            0.313034296,
            0.313763857,
            0.314493418,
            0.315222949,
            0.31595251,
            0.316682041,
            0.317411602,
            0.318141162,
            0.318870693,
            0.319600254,
            0.320329815,
            0.321059346,
            0.321788907,
            0.322518468,
            0.323247999,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.324004352,
            0.3249771,
            0.325949818,
            0.326922566,
            0.327895284,
            0.328868032,
            0.32984075,
            0.330813497,
            0.331786215,
            0.332758963,
            0.333731681,
            0.334704429,
            0.335677147,
            0.336649895,
            0.337622613,
            0.338595361,
            0.339480013,
            0.340209544,
            0.340939105,
            0.341668665,
            0.342398196,
            0.343127757,
            0.343857288,
            0.344586849,
            0.34531641,
            0.346045941,
            0.346775502,
            0.347505033,
            0.348234594,
            0.348964155,
            0.349693686,
            0.350423247,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350446224,
            0.349716663,
            0.348987132,
            0.348257571,
            0.347528011,
            0.34679848,
            0.346068919,
            0.345339388,
            0.344609827,
            0.343880266,
            0.343150735,
            0.342421174,
            0.341691613,
            0.340962082,
            0.340232521,
            0.33950299,
            0.338625997,
            0.33765325,
            0.336680532,
            0.335707784,
            0.334735066,
            0.333762318,
            0.3327896,
            0.331816852,
            0.330844134,
            0.329871386,
            0.328898668,
            0.32792592,
            0.326953202,
            0.325980455,
            0.325007737,
            0.324034989,
            0.323179066,
            0.322449505,
            0.321719974,
            0.320990413,
            0.320260882,
            0.319531322,
            0.318801761,
            0.31807223,
            0.317342669,
            0.316613108,
            0.315883577,
            0.315154016,
            0.314424485,
            0.313694924,
            0.312965363,
            0.312235832,
            0.311247766,
            0.309788674,
            0.308329582,
            0.306870461,
            0.305411369,
            0.303952277,
            0.302493185,
            0.301034093,
            0.299574971,
            0.298115879,
            0.296656787,
            0.295197695,
            0.293738574,
            0.292279482,
            0.29082039,
            0.289361298,
            0.288068771,
            0.28733924,
            0.286609679,
            0.285880148,
            0.285150588,
            0.284421057,
            0.283691496,
            0.282961965,
            0.282232404,
            0.281502873,
            0.280773312,
            0.280043781,
            0.27931422,
            0.278584689,
            0.277855128,
            0.277125597,
            0.276371151,
            0.275398403,
            0.274425685,
            0.273452938,
            0.27248019,
            0.271507472,
            0.270534724,
            0.269562006,
            0.268589258,
            0.26761651,
            0.266643792,
            0.265671045,
            0.264698327,
            0.263725579,
            0.262752831,
            0.261780113,
            0.260807365,
            0.260072082,
            0.259342521,
            0.258612961,
            0.2578834,
            0.257153869,
            0.256424308,
            0.255694747,
            0.254965186,
            0.254235655,
            0.253506094,
            0.252776533,
            0.252046973,
            0.251317441,
            0.250587881,
            0.24985832,
            0.249128774,
            0.247778818,
            0.246319711,
            0.244860619,
            0.243401513,
            0.241942421,
            0.240483314,
            0.239024222,
            0.237565115,
            0.236106023,
            0.234646916,
            0.233187824,
            0.231728718,
            0.230269626,
            0.228810519,
            0.227351427,
            0.22589232,
            0.224433228,
            0.222974136,
            0.221515045,
            0.220055938,
            0.218596846,
            0.217137754,
            0.215678662,
            0.214219555,
            0.212760463,
            0.211301371,
            0.20984228,
            0.208383173,
            0.206924081,
            0.205464989,
            0.204005897,
            0.202546805,
            0.201378748,
            0.200406015,
            0.199433282,
            0.198460549,
            0.197487801,
            0.196515068,
            0.195542336,
            0.194569603,
            0.193596855,
            0.192624122,
            0.191651389,
            0.190678656,
            0.189705908,
            0.188733175,
            0.187760442,
            0.18678771,
            0.185929865,
            0.185200304,
            0.184470758,
            0.183741212,
            0.183011666,
            0.182282105,
            0.181552559,
            0.180823013,
            0.180093467,
            0.179363906,
            0.17863436,
            0.177904814,
            0.177175269,
            0.176445723,
            0.175716162,
            0.174986616,
            0.17425707,
            0.173527524,
            0.172797978,
            0.172068432,
            0.171338886,
            0.17060934,
            0.169879794,
            0.169150248,
            0.168420702,
            0.167691156,
            0.16696161,
            0.166232064,
            0.165502518,
            0.164772972,
            0.164043427,
            0.163313881,
            0.162423491,
            0.160964385,
            0.159505278,
            0.158046171,
            0.156587079,
            0.155127972,
            0.153668866,
            0.152209759,
            0.150750667,
            0.14929156,
            0.147832453,
            0.146373361,
            0.144914255,
            0.143455148,
            0.141996041,
            0.140536949,
            0.139054865,
            0.137352586,
            0.135650292,
            0.133948013,
            0.132245734,
            0.130543455,
            0.128841162,
            0.127138883,
            0.125436604,
            0.123734318,
            0.122032039,
            0.120329753,
            0.118627474,
            0.116925195,
            0.115222909,
            0.113520622,
            0.111818343,
            0.110351585,
            0.108892485,
            0.107433386,
            0.105974287,
            0.104515187,
            0.103056088,
            0.101596989,
            0.100137889,
            0.09867879,
            0.0972196907,
            0.0957605913,
            0.094301492,
            0.0928424001,
            0.0913832933,
            0.0899242014,
            0.0884650946,
            0.0868011117,
            0.0850988328,
            0.0833965465,
            0.0816942677,
            0.0799919814,
            0.0782897025,
            0.0765874162,
            0.0748851374,
            0.0731828511,
            0.0714805722,
            0.0697782859,
            0.0680760071,
            0.0663737208,
            0.0646714419,
            0.0629691631,
            0.0612668768,
            0.0597388446,
            0.0582797453,
            0.0568206459,
            0.0553615466,
            0.0539024472,
            0.0524433479,
            0.0509842485,
            0.0495251492,
            0.0480660498,
            0.0466069505,
            0.0451478511,
            0.0436887518,
            0.0422296524,
            0.0407705531,
            0.0393114537,
            0.0378523543,
            0.036393255,
            0.0349341556,
            0.03347506,
            0.0320159607,
            0.0305568594,
            0.029097762,
            0.0276386626,
            0.0261795633,
            0.0247204639,
            0.0232613645,
            0.0218022652,
            0.0203431658,
            0.0188840665,
            0.0174249671,
            0.0159658678,
            0.0145067684,
            0.0133865941,
            0.0126570445,
            0.0119274957,
            0.011197946,
            0.0104683964,
            0.00973884668,
            0.00900929701,
            0.00827974733,
            0.00755019765,
            0.00682064844,
            0.00609109877,
            0.00536154956,
            0.00463199988,
            0.0039024502,
            0.00317290053,
            0.00244335085,
            0.00163146353,
            0.000658730743,
            -0.000314001925,
            -0.00128673483,
            -0.00225946773,
            -0.00323220063,
            -0.00420493307,
            -0.00517766597,
            -0.0061503984,
            -0.0071231313,
            -0.00809586421,
            -0.00906859711,
            -0.01004133,
            -0.0110140629,
            -0.0119867958,
            -0.0129595287,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0144262863,
            -0.015155836,
            -0.0158853866,
            -0.0166149363,
            -0.017344486,
            -0.0180740356,
            -0.0188035853,
            -0.019533135,
            -0.0202626828,
            -0.0209922325,
            -0.0217217822,
            -0.0224513318,
            -0.0231808815,
            -0.0239104312,
            -0.0246399809,
            -0.0253695305,
            -0.0260990802,
            -0.0268286299,
            -0.0275581796,
            -0.0282877292,
            -0.0290172789,
            -0.0297468286,
            -0.0304763783,
            -0.031205928,
            -0.0319354758,
            -0.0326650254,
            -0.0333945751,
            -0.0341241248,
            -0.0348536745,
            -0.0355832241,
            -0.0363127738,
            -0.0370423235,
            -0.0377718732,
            -0.0385014229,
            -0.0392309725,
            -0.0399605222,
            -0.0406900719,
            -0.0414196216,
            -0.0421491712,
            -0.0428787209,
            -0.0436082706,
            -0.0443378203,
            -0.0450673699,
            -0.0457969196,
            -0.0465264693,
            -0.047256019,
            -0.0479855686,
            -0.0487151183,
            -0.050011456,
            -0.0517137386,
            -0.0534160212,
            -0.0551183037,
            -0.0568205863,
            -0.0585228689,
            -0.0602251515,
            -0.0619274341,
            -0.0636297166,
            -0.0653319955,
            -0.0670342818,
            -0.0687365606,
            -0.0704388469,
            -0.0721411258,
            -0.0738434121,
            -0.075545691,
            -0.0771369115,
            -0.0785960108,
            -0.0800551102,
            -0.0815142095,
            -0.0829733089,
            -0.0844324082,
            -0.0858915076,
            -0.0873506069,
            -0.0888097063,
            -0.0902688056,
            -0.091727905,
            -0.0931870043,
            -0.0946461037,
            -0.096105203,
            -0.0975643024,
            -0.0990234017,
            -0.100482501,
            -0.1019416,
            -0.1034007,
            -0.104859799,
            -0.106318898,
            -0.107777998,
            -0.109237097,
            -0.110696197,
            -0.112155296,
            -0.113614395,
            -0.115073495,
            -0.116532594,
            -0.117991693,
            -0.119450793,
            -0.120909892,
            -0.122368991,
            -0.123728514,
            -0.124701254,
            -0.12567398,
            -0.126646727,
            -0.12761946,
            -0.128592193,
            -0.129564926,
            -0.130537659,
            -0.131510392,
            -0.132483125,
            -0.133455858,
            -0.134428591,
            -0.135401338,
            -0.136374071,
            -0.137346804,
            -0.138319537,
            -0.139330566,
            -0.140789673,
            -0.142248765,
            -0.143707871,
            -0.145166963,
            -0.14662607,
            -0.148085162,
            -0.149544269,
            -0.151003361,
            -0.152462453,
            -0.153921559,
            -0.155380666,
            -0.156839758,
            -0.15829885,
            -0.159757957,
            -0.161217064,
            -0.162676156,
            -0.164135247,
            -0.165594354,
            -0.167053446,
            -0.168512553,
            -0.169971645,
            -0.171430752,
            -0.172889844,
            -0.17434895,
            -0.175808042,
            -0.177267149,
            -0.178726241,
            -0.180185348,
            -0.18164444,
            -0.183103547,
            -0.184562638,
            -0.186021745,
            -0.186877668,
            -0.187607214,
            -0.188336775,
            -0.189066321,
            -0.189795867,
            -0.190525413,
            -0.191254973,
            -0.191984519,
            -0.192714065,
            -0.193443611,
            -0.194173172,
            -0.194902718,
            -0.195632264,
            -0.19636181,
            -0.197091371,
            -0.197820917,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197895586,
            -0.197166041,
            -0.196436495,
            -0.195706949,
            -0.194977388,
            -0.194247842,
            -0.193518296,
            -0.19278875,
            -0.192059189,
            -0.191329643,
            -0.190600097,
            -0.189870551,
            -0.18914099,
            -0.188411444,
            -0.187681898,
            -0.186952353,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186871931,
            -0.187601477,
            -0.188331023,
            -0.189060569,
            -0.18979013,
            -0.190519676,
            -0.191249222,
            -0.191978768,
            -0.192708328,
            -0.193437874,
            -0.19416742,
            -0.194896966,
            -0.195626527,
            -0.196356073,
            -0.197085619,
            -0.197815165,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197625607,
            -0.196896046,
            -0.1961665,
            -0.195436954,
            -0.194707409,
            -0.193977848,
            -0.193248302,
            -0.192518756,
            -0.19178921,
            -0.191059649,
            -0.190330103,
            -0.189600557,
            -0.188871011,
            -0.18814145,
            -0.187411904,
            -0.186682358,
            -0.185952812,
            -0.185223252,
            -0.184493706,
            -0.18376416,
            -0.183034614,
            -0.182305053,
            -0.181575507,
            -0.180845961,
            -0.180116415,
            -0.179386854,
            -0.178657308,
            -0.177927762,
            -0.177198216,
            -0.17646867,
            -0.17573911,
            -0.175009564,
            -0.174280018,
            -0.173550472,
            -0.172820911,
            -0.172091365,
            -0.171361819,
            -0.170632273,
            -0.169902712,
            -0.169173166,
            -0.16844362,
            -0.167714074,
            -0.166984513,
            -0.166254967,
            -0.165525422,
            -0.164795876,
            -0.164066315,
            -0.163336769,
            -0.162469357,
            -0.16101025,
            -0.159551159,
            -0.158092052,
            -0.15663296,
            -0.155173853,
            -0.153714761,
            -0.152255654,
            -0.150796562,
            -0.149337456,
            -0.147878364,
            -0.146419257,
            -0.144960165,
            -0.143501058,
            -0.142041966,
            -0.14058286,
            -0.139154404,
            -0.138181672,
            -0.137208939,
            -0.136236206,
            -0.135263458,
            -0.134290725,
            -0.133317992,
            -0.132345259,
            -0.131372526,
            -0.130399793,
            -0.12942706,
            -0.128454328,
            -0.127481595,
            -0.126508847,
            -0.125536114,
            -0.124563381,
            -0.123590648,
            -0.122845776,
            -0.12211623,
            -0.121386677,
            -0.120657124,
            -0.11992757,
            -0.119198024,
            -0.118468471,
            -0.117738917,
            -0.117009372,
            -0.116279818,
            -0.115550265,
            -0.114820711,
            -0.114091158,
            -0.113361612,
            -0.112632059,
            -0.111902505,
            -0.11235632,
            -0.113085873,
            -0.113815427,
            -0.11454498,
            -0.115274526,
            -0.11600408,
            -0.116733633,
            -0.117463186,
            -0.118192732,
            -0.118922286,
            -0.119651839,
            -0.120381385,
            -0.121110938,
            -0.121840492,
            -0.122570045,
            -0.123299599,
            -0.12419574,
            -0.125168473,
            -0.126141205,
            -0.127113938,
            -0.128086671,
            -0.129059404,
            -0.130032137,
            -0.131004885,
            -0.131977618,
            -0.132950351,
            -0.133923084,
            -0.134895816,
            -0.135868549,
            -0.136841282,
            -0.137814015,
            -0.138786763,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139531627,
            -0.140261173,
            -0.140990719,
            -0.14172028,
            -0.142449826,
            -0.143179372,
            -0.143908918,
            -0.144638479,
            -0.145368025,
            -0.146097571,
            -0.146827117,
            -0.147556663,
            -0.148286223,
            -0.149015769,
            -0.149745315,
            -0.150474876,
            -0.151428446,
            -0.152887553,
            -0.154346645,
            -0.155805752,
            -0.157264844,
            -0.15872395,
            -0.160183042,
            -0.161642149,
            -0.163101241,
            -0.164560348,
            -0.16601944,
            -0.167478547,
            -0.168937638,
            -0.170396745,
            -0.171855837,
            -0.173314944,
            -0.174774036,
            -0.176233143,
            -0.177692235,
            -0.179151341,
            -0.180610433,
            -0.18206954,
            -0.183528632,
            -0.184987739,
            -0.186446831,
            -0.187905937,
            -0.189365029,
            -0.190824136,
            -0.192283228,
            -0.193742335,
            -0.195201427,
            -0.196660534,
            -0.198133036,
            -0.199835315,
            -0.201537594,
            -0.203239873,
            -0.204942167,
            -0.206644446,
            -0.208346725,
            -0.210049003,
            -0.211751282,
            -0.213453576,
            -0.215155855,
            -0.216858134,
            -0.218560413,
            -0.220262706,
            -0.221964985,
            -0.223667264,
            -0.225369543,
            -0.226168036,
            -0.226897582,
            -0.227627128,
            -0.228356674,
            -0.229086235,
            -0.229815781,
            -0.230545327,
            -0.231274873,
            -0.232004434,
            -0.23273398,
            -0.233463526,
            -0.234193072,
            -0.234922633,
            -0.235652179,
            -0.236381724,
            -0.23711127,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237748921,
            -0.238478467,
            -0.239208013,
            -0.239937559,
            -0.240667105,
            -0.241396666,
            -0.242126212,
            -0.242855757,
            -0.243585303,
            -0.244314864,
            -0.24504441,
            -0.245773956,
            -0.246503502,
            -0.247233063,
            -0.247962609,
            -0.248692155,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.248531312,
            -0.247801766,
            -0.24707222,
            -0.246342659,
            -0.245613113,
            -0.244883567,
            -0.244154021,
            -0.24342446,
            -0.242694914,
            -0.241965368,
            -0.241235822,
            -0.240506262,
            -0.239776716,
            -0.23904717,
            -0.238317624,
            -0.237588063,
            -0.236858517,
            -0.236128971,
            -0.235399425,
            -0.234669864,
            -0.233940318,
            -0.233210772,
            -0.232481226,
            -0.231751665,
            -0.23102212,
            -0.230292574,
            -0.229563028,
            -0.228833467,
            -0.228103921,
            -0.227374375,
            -0.226644829,
            -0.225915268,
            -0.224779785,
            -0.223077506,
            -0.221375212,
            -0.219672933,
            -0.217970654,
            -0.216268376,
            -0.214566082,
            -0.212863803,
            -0.211161524,
            -0.209459245,
            -0.207756951,
            -0.206054673,
            -0.204352394,
            -0.202650115,
            -0.200947821,
            -0.199245542,
            -0.197614118,
            -0.196155012,
            -0.19469592,
            -0.193236813,
            -0.191777721,
            -0.190318614,
            -0.188859522,
            -0.187400416,
            -0.185941324,
            -0.184482217,
            -0.183023125,
            -0.181564018,
            -0.180104926,
            -0.178645819,
            -0.177186728,
            -0.175727621,
            -0.174268529,
            -0.172809422,
            -0.17135033,
            -0.169891223,
            -0.168432131,
            -0.166973025,
            -0.165513933,
            -0.164054826,
            -0.162595734,
            -0.161136627,
            -0.159677535,
            -0.158218428,
            -0.156759337,
            -0.15530023,
            -0.153841138,
            -0.152382031,
            -0.150913358,
            -0.149211079,
            -0.1475088,
            -0.145806506,
            -0.144104227,
            -0.142401949,
            -0.140699655,
            -0.138997376,
            -0.137295097,
            -0.135592803,
            -0.133890525,
            -0.132188231,
            -0.130485952,
            -0.128783673,
            -0.127081379,
            -0.1253791,
            -0.123676814,
            -0.121530294,
            -0.119341642,
            -0.117152996,
            -0.114964351,
            -0.112775698,
            -0.110587053,
            -0.1083984,
            -0.106209755,
            -0.104021102,
            -0.101832457,
            -0.0996438041,
            -0.0974551588,
            -0.0952665061,
            -0.0930778608,
            -0.0908892155,
            -0.0887005627,
            -0.0868948773,
            -0.0851925984,
            -0.0834903121,
            -0.0817880332,
            -0.0800857469,
            -0.0783834681,
            -0.0766811818,
            -0.0749789029,
            -0.0732766241,
            -0.0715743378,
            -0.0698720515,
            -0.0681697726,
            -0.0664674938,
            -0.0647652075,
            -0.0630629286,
            -0.0613606423,
            -0.0598192066,
            -0.0583601072,
            -0.0569010079,
            -0.0554419085,
            -0.0539828092,
            -0.0525237098,
            -0.0510646105,
            -0.0496055111,
            -0.0481464118,
            -0.0466873124,
            -0.0452282131,
            -0.0437691137,
            -0.0423100144,
            -0.040850915,
            -0.0393918157,
            -0.03793272,
            -0.0359527878,
            -0.0335209556,
            -0.0310891233,
            -0.0286572911,
            -0.0262254588,
            -0.0237936266,
            -0.0213617943,
            -0.0189299621,
            -0.0164981317,
            -0.0140662994,
            -0.0116344672,
            -0.00920263492,
            -0.00677080266,
            -0.00433897227,
            -0.00190714002,
            0.000524692237,
            0.00255824043,
            0.00401733955,
            0.00547643891,
            0.00693553779,
            0.00839463715,
            0.0098537365,
            0.0113128358,
            0.0127719343,
            0.0142310336,
            0.015690133,
            0.0171492323,
            0.0186083317,
            0.020067431,
            0.0215265304,
            0.0229856297,
            0.0244447272,
            0.0261106286,
            0.0282992776,
            0.0304879267,
            0.0326765738,
            0.0348652229,
            0.0370538719,
            0.0392425209,
            0.04143117,
            0.043619819,
            0.045808468,
            0.047997117,
            0.0501857661,
            0.0523744151,
            0.0545630604,
            0.0567517132,
            0.0589403585,
            0.0610524155,
            0.0627546981,
            0.0644569844,
            0.0661592633,
            0.0678615421,
            0.0695638284,
            0.0712661073,
            0.0729683936,
            0.0746706724,
            0.0763729587,
            0.0780752376,
            0.0797775239,
            0.0814798027,
            0.083182089,
            0.0848843679,
            0.0865866542,
            0.0883042514,
            0.0904929042,
            0.0926815495,
            0.0948702022,
            0.0970588475,
            0.0992475003,
            0.101436146,
            0.103624791,
            0.105813444,
            0.108002089,
            0.110190742,
            0.112379387,
            0.11456804,
            0.116756685,
            0.118945338,
            0.121133983,
            0.123322636,
            0.12507087,
            0.126773149,
            0.128475443,
            0.130177721,
            0.13188,
            0.133582279,
            0.135284573,
            0.136986852,
            0.138689131,
            0.140391409,
            0.142093688,
            0.143795982,
            0.145498261,
            0.14720054,
            0.148902819,
            0.150605112,
            0.152117819,
            0.153576925,
            0.155036017,
            0.156495124,
            0.157954216,
            0.159413323,
            0.160872415,
            0.162331522,
            0.163790613,
            0.16524972,
            0.166708812,
            0.168167919,
            0.169627011,
            0.171086103,
            0.17254521,
            0.174004316,
            0.175622344,
            0.177324623,
            0.179026917,
            0.180729195,
            0.182431489,
            0.184133768,
            0.185836062,
            0.187538341,
            0.189240634,
            0.190942913,
            0.192645207,
            0.194347486,
            0.19604978,
            0.197752059,
            0.199454352,
            0.201156631,
            0.202345744,
            0.20307529,
            0.203804836,
            0.204534382,
            0.205263928,
            0.205993474,
            0.206723019,
            0.207452565,
            0.208182111,
            0.208911657,
            0.209641203,
            0.210370749,
            0.211100295,
            0.211829841,
            0.212559387,
            0.213288933,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213926569,
            0.214656115,
            0.215385661,
            0.216115206,
            0.216844767,
            0.217574313,
            0.218303859,
            0.219033405,
            0.219762966,
            0.220492512,
            0.221222058,
            0.221951604,
            0.222681165,
            0.223410711,
            0.224140257,
            0.224869803,
            0.225599363,
            0.226328909,
            0.227058455,
            0.227788001,
            0.228517562,
            0.229247108,
            0.229976654,
            0.2307062,
            0.231435761,
            0.232165307,
            0.232894853,
            0.233624399,
            0.23435396,
            0.235083506,
            0.235813051,
            0.236542597,
            0.237272158,
            0.238001704,
            0.23873125,
            0.239460796,
            0.240190357,
            0.240919903,
            0.241649449,
            0.242378995,
            0.243108541,
            0.243838102,
            0.244567648,
            0.245297194,
            0.246026739,
            0.2467563,
            0.247485846,
            0.248215392,
            0.248944938,
            0.250547647,
            0.252249956,
            0.253952235,
            0.255654544,
            0.257356822,
            0.259059101,
            0.26076141,
            0.262463689,
            0.264165968,
            0.265868276,
            0.267570555,
            0.269272864,
            0.270975143,
            0.272677422,
            0.27437973,
            0.276082009,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276941776,
            0.277671307,
            0.278400868,
            0.279130399,
            0.27985996,
            0.280589491,
            0.281319052,
            0.282048583,
            0.282778144,
            0.283507675,
            0.284237236,
            0.284966767,
            0.285696328,
            0.286425859,
            0.28715542,
            0.287884951,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288522601,
            0.289252132,
            0.289981693,
            0.290711254,
            0.291440785,
            0.292170346,
            0.292899877,
            0.293629438,
            0.294358999,
            0.29508853,
            0.29581809,
            0.296547651,
            0.297277182,
            0.298006743,
            0.298736274,
            0.299465835,
            0.300195396,
            0.300924927,
            0.301654488,
            0.302384019,
            0.30311358,
            0.303843141,
            0.304572672,
            0.305302233,
            0.306031793,
            0.306761324,
            0.307490885,
            0.308220416,
            0.308949977,
            0.309679538,
            0.310409069,
            0.31113863,
            0.312006056,
            0.313708335,
            0.315410614,
            0.317112893,
            0.318815172,
            0.320517451,
            0.322219729,
            0.323922008,
            0.325624317,
            0.327326596,
            0.329028875,
            0.330731153,
            0.332433432,
            0.334135711,
            0.33583799,
            0.337540269,
            0.339227259,
            0.33995679,
            0.340686351,
            0.341415882,
            0.342145443,
            0.342875004,
            0.343604535,
            0.344334096,
            0.345063627,
            0.345793188,
            0.346522748,
            0.34725228,
            0.34798184,
            0.348711401,
            0.349440932,
            0.350170493,
            0.350900024,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.351537675,
            0.352267236,
            0.352996767,
            0.353726327,
            0.354455888,
            0.355185419,
            0.35591498,
            0.356644511,
            0.357374072,
            0.358103633,
            0.358833164,
            0.359562725,
            0.360292256,
            0.361021817,
            0.361751378,
            0.362480909,
            0.362279862,
            0.361550301,
            0.36082077,
            0.360091209,
            0.359361678,
            0.358632118,
            0.357902557,
            0.357173026,
            0.356443465,
            0.355713904,
            0.354984373,
            0.354254812,
            0.353525281,
            0.35279572,
            0.352066159,
            0.351336628,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350790888,
            0.350061357,
            0.349331796,
            0.348602235,
            0.347872704,
            0.347143143,
            0.346413583,
            0.345684052,
            0.344954491,
            0.34422496,
            0.343495399,
            0.342765838,
            0.342036307,
            0.341306746,
            0.340577185,
            0.339847654,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339221507,
            0.339951038,
            0.340680599,
            0.34141016,
            0.342139691,
            0.342869252,
            0.343598783,
            0.344328344,
            0.345057905,
            0.345787436,
            0.346516997,
            0.347246557,
            0.347976089,
            0.348705649,
            0.34943518,
            0.350164741,
            0.350894302,
            0.351623833,
            0.352353394,
            0.353082955,
            0.353812486,
            0.354542047,
            0.355271578,
            0.356001139,
            0.3567307,
            0.357460231,
            0.358189791,
            0.358919352,
            0.359648883,
            0.360378444,
            0.361107975,
            0.361837536,
            0.362567097,
            0.362193704,
            0.361464143,
            0.360734582,
            0.360005051,
            0.35927549,
            0.358545959,
            0.357816398,
            0.357086837,
            0.356357306,
            0.355627745,
            0.354898214,
            0.354168653,
            0.353439093,
            0.352709562,
            0.351980001,
            0.35125044,
            0.350520909,
            0.349791348,
            0.349061817,
            0.348332256,
            0.347602695,
            0.346873164,
            0.346143603,
            0.345414042,
            0.344684511,
            0.343954951,
            0.34322542,
            0.342495859,
            0.341766298,
            0.341036767,
            0.340307206,
            0.339577645,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339399576,
            0.340129137,
            0.340858668,
            0.341588229,
            0.34231779,
            0.343047321,
            0.343776882,
            0.344506413,
            0.345235974,
            0.345965534,
            0.346695065,
            0.347424626,
            0.348154187,
            0.348883718,
            0.349613279,
            0.35034281,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461
          ],
          [
            0.323529482,
            0.32207039,
            0.320611298,
            0.319152176,
            0.317693084,
            0.316233993,
            0.314774901,
            0.313315779,
            0.311856687,
            0.310397595,
            0.308938503,
            0.307479382,
            0.30602029,
            0.304561198,
            0.303102106,
            0.301642984,
            0.300183892,
            0.299362421,
            0.29863289,
            0.297903329,
            0.297173798,
            0.296444237,
            0.295714676,
            0.294985145,
            0.294255584,
            0.293526024,
            0.292796493,
            0.292066932,
            0.291337401,
            0.29060784,
            0.289878279,
            0.289148748,
            0.288419187,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.287781566,
            0.287052006,
            0.286322474,
            0.285592914,
            0.284863383,
            0.284133822,
            0.283404291,
            0.28267473,
            0.281945199,
            0.281215638,
            0.280486107,
            0.279756546,
            0.279027015,
            0.278297454,
            0.277567923,
            0.276838362,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.27664879,
            0.27737835,
            0.278107882,
            0.278837442,
            0.279566973,
            0.280296534,
            0.281026065,
            0.281755626,
            0.282485157,
            0.283214718,
            0.283944249,
            0.28467381,
            0.285403341,
            0.286132902,
            0.286862433,
            0.287591994,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288959175,
            0.289688706,
            0.290418267,
            0.291147828,
            0.291877359,
            0.29260692,
            0.293336481,
            0.294066012,
            0.294795573,
            0.295525104,
            0.296254665,
            0.296984226,
            0.297713757,
            0.298443317,
            0.299172878,
            0.299902409,
            0.30063197,
            0.301361501,
            0.302091062,
            0.302820623,
            0.303550154,
            0.304279715,
            0.305009276,
            0.305738807,
            0.306468368,
            0.307197899,
            0.307927459,
            0.30865702,
            0.309386551,
            0.310116112,
            0.310845673,
            0.311575204,
            0.312304765,
            0.313034296,
            0.313763857,
            0.314493418,
            0.315222949,
            0.31595251,
            0.316682041,
            0.317411602,
            0.318141162,
            0.318870693,
            0.319600254,
            0.320329815,
            0.321059346,
            0.321788907,
            0.322518468,
            0.323247999,
            0.324126899,
            0.325099647,
            0.326072365,
            0.327045113,
            0.328017831,
            0.328990579,
            0.329963297,
            0.330936044,
            0.331908762,
            0.33288151,
            0.333854228,
            0.334826976,
            0.335799694,
            0.336772442,
            0.33774516,
            0.338717908,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.33850345,
            0.337530702,
            0.336557984,
            0.335585237,
            0.334612519,
            0.333639771,
            0.332667053,
            0.331694305,
            0.330721587,
            0.329748839,
            0.328776121,
            0.327803373,
            0.326830655,
            0.325857908,
            0.32488519,
            0.323912442,
            0.323087156,
            0.322357595,
            0.321628064,
            0.320898503,
            0.320168972,
            0.319439411,
            0.31870985,
            0.317980319,
            0.317250758,
            0.316521198,
            0.315791667,
            0.315062106,
            0.314332575,
            0.313603014,
            0.312873453,
            0.312143922,
            0.311063945,
            0.309604853,
            0.308145761,
            0.30668664,
            0.305227548,
            0.303768456,
            0.302309364,
            0.300850242,
            0.29939115,
            0.297932059,
            0.296472967,
            0.295013845,
            0.293554753,
            0.292095661,
            0.290636569,
            0.289177477,
            0.287632197,
            0.285929918,
            0.284227639,
            0.282525361,
            0.280823052,
            0.279120773,
            0.277418494,
            0.275716215,
            0.274013937,
            0.272311658,
            0.270609379,
            0.2689071,
            0.267204821,
            0.265502512,
            0.263800234,
            0.262097955,
            0.260617793,
            0.259888232,
            0.259158701,
            0.25842914,
            0.257699579,
            0.256970018,
            0.256240487,
            0.255510926,
            0.254781365,
            0.254051805,
            0.253322273,
            0.252592713,
            0.251863152,
            0.251133591,
            0.25040406,
            0.249674499,
            0.248944938,
            0.248215392,
            0.247485846,
            0.2467563,
            0.246026739,
            0.245297194,
            0.244567648,
            0.243838102,
            0.243108541,
            0.242378995,
            0.241649449,
            0.240919903,
            0.240190357,
            0.239460796,
            0.23873125,
            0.238001704,
            0.237272143,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.236634508,
            0.235904962,
            0.235175416,
            0.23444587,
            0.233716309,
            0.232986763,
            0.232257217,
            0.231527671,
            0.23079811,
            0.230068564,
            0.229339018,
            0.228609473,
            0.227879912,
            0.227150366,
            0.22642082,
            0.225691274,
            0.224433228,
            0.222974136,
            0.221515045,
            0.220055938,
            0.218596846,
            0.217137754,
            0.215678662,
            0.214219555,
            0.212760463,
            0.211301371,
            0.20984228,
            0.208383173,
            0.206924081,
            0.205464989,
            0.204005897,
            0.202546805,
            0.201378748,
            0.200406015,
            0.199433282,
            0.198460549,
            0.197487801,
            0.196515068,
            0.195542336,
            0.194569603,
            0.193596855,
            0.192624122,
            0.191651389,
            0.190678656,
            0.189705908,
            0.188733175,
            0.187760442,
            0.18678771,
            0.185929865,
            0.185200304,
            0.184470758,
            0.183741212,
            0.183011666,
            0.182282105,
            0.181552559,
            0.180823013,
            0.180093467,
            0.179363906,
            0.17863436,
            0.177904814,
            0.177175269,
            0.176445723,
            0.175716162,
            0.174986616,
            0.17425707,
            0.173527524,
            0.172797978,
            0.172068432,
            0.171338886,
            0.17060934,
            0.169879794,
            0.169150248,
            0.168420702,
            0.167691156,
            0.16696161,
            0.166232064,
            0.165502518,
            0.164772972,
            0.164043427,
            0.163313881,
            0.162584335,
            0.161854774,
            0.161125228,
            0.160395667,
            0.159666121,
            0.15893656,
            0.158207014,
            0.157477453,
            0.156747907,
            0.156018347,
            0.155288801,
            0.15455924,
            0.153829694,
            0.153100133,
            0.152370587,
            0.151641026,
            0.15081957,
            0.149117291,
            0.147414997,
            0.145712718,
            0.14401044,
            0.142308161,
            0.140605867,
            0.138903588,
            0.137201309,
            0.13549903,
            0.133796751,
            0.132094458,
            0.130392179,
            0.1286899,
            0.126987606,
            0.125285327,
            0.123583049,
            0.12211629,
            0.120657191,
            0.119198091,
            0.117738992,
            0.116279893,
            0.114820793,
            0.113361694,
            0.111902595,
            0.110443495,
            0.108984396,
            0.107525297,
            0.106066197,
            0.104607105,
            0.103147998,
            0.101688907,
            0.1002298,
            0.0987707078,
            0.097311601,
            0.0958525091,
            0.0943934098,
            0.0929343104,
            0.0914752111,
            0.0900161117,
            0.0885570124,
            0.087097913,
            0.0856388137,
            0.0841797143,
            0.082720615,
            0.0812615156,
            0.0798024163,
            0.0783433169,
            0.0768842176,
            0.0752508715,
            0.0735485852,
            0.0718463063,
            0.07014402,
            0.0684417412,
            0.0667394549,
            0.065037176,
            0.0633348897,
            0.0616326109,
            0.0599303246,
            0.0582280457,
            0.0565257594,
            0.0548234805,
            0.0531211942,
            0.0514189154,
            0.0497166328,
            0.0481579602,
            0.0466988608,
            0.0452397652,
            0.0437806658,
            0.0423215665,
            0.0408624671,
            0.0394033678,
            0.0379442684,
            0.0364851691,
            0.0350260697,
            0.0335669704,
            0.032107871,
            0.0306487717,
            0.0291896723,
            0.027730573,
            0.0262714736,
            0.0251512993,
            0.0244217496,
            0.0236922,
            0.0229626503,
            0.0222331006,
            0.0215035528,
            0.0207740031,
            0.0200444534,
            0.0193149038,
            0.0185853541,
            0.0178558044,
            0.0171262547,
            0.0163967051,
            0.0156671554,
            0.0149376057,
            0.014208056,
            0.0134785064,
            0.0127489567,
            0.012019407,
            0.0112898573,
            0.0105603077,
            0.00983075798,
            0.0091012083,
            0.00837165862,
            0.00764210941,
            0.0069125602,
            0.00618301053,
            0.00545346085,
            0.00472391117,
            0.0039943615,
            0.00326481182,
            0.00253526215,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00187656155,
            0.000903828768,
            -6.89039007e-5,
            -0.0010416368,
            -0.0020143697,
            -0.00298710261,
            -0.00395983504,
            -0.00493256794,
            -0.00590530038,
            -0.00687803328,
            -0.00785076618,
            -0.00882349908,
            -0.00979623199,
            -0.0107689649,
            -0.0117416978,
            -0.0127144307,
            -0.0136871636,
            -0.015127114,
            -0.0165862124,
            -0.0180453118,
            -0.0195044111,
            -0.0209635105,
            -0.0224226099,
            -0.0238817092,
            -0.0253408086,
            -0.026799906,
            -0.0282590054,
            -0.0297181047,
            -0.0311772041,
            -0.0326363035,
            -0.0340954028,
            -0.0355545022,
            -0.0370136015,
            -0.0378637835,
            -0.0385933332,
            -0.0393228829,
            -0.0400524326,
            -0.0407819822,
            -0.0415115319,
            -0.0422410816,
            -0.0429706313,
            -0.0437001809,
            -0.0444297306,
            -0.0451592803,
            -0.04588883,
            -0.0466183797,
            -0.0473479293,
            -0.048077479,
            -0.0488070287,
            -0.0495365784,
            -0.050266128,
            -0.0509956777,
            -0.0517252274,
            -0.0524547771,
            -0.0531843267,
            -0.0539138764,
            -0.0546434261,
            -0.0553729758,
            -0.0561025254,
            -0.0568320751,
            -0.0575616248,
            -0.0582911745,
            -0.0590207241,
            -0.0597502738,
            -0.0604798235,
            -0.0617761612,
            -0.06347844,
            -0.0651807263,
            -0.0668830052,
            -0.0685852915,
            -0.0702875704,
            -0.0719898567,
            -0.0736921355,
            -0.0753944218,
            -0.0770967007,
            -0.078798987,
            -0.0805012658,
            -0.0822035521,
            -0.083905831,
            -0.0856081173,
            -0.0873103961,
            -0.0885684416,
            -0.0892979875,
            -0.0900275409,
            -0.0907570869,
            -0.0914866403,
            -0.0922161862,
            -0.0929457396,
            -0.0936752856,
            -0.094404839,
            -0.0951343849,
            -0.0958639383,
            -0.0965934843,
            -0.0973230302,
            -0.0980525836,
            -0.098782137,
            -0.099511683,
            -0.100241229,
            -0.100970782,
            -0.101700328,
            -0.102429874,
            -0.10315942,
            -0.103888974,
            -0.10461852,
            -0.105348065,
            -0.106077611,
            -0.106807165,
            -0.107536711,
            -0.108266257,
            -0.108995803,
            -0.109725356,
            -0.110454902,
            -0.111184448,
            -0.111913994,
            -0.112643547,
            -0.113373101,
            -0.114102654,
            -0.1148322,
            -0.115561754,
            -0.116291307,
            -0.11702086,
            -0.117750406,
            -0.11847996,
            -0.119209513,
            -0.119939059,
            -0.120668612,
            -0.121398166,
            -0.122127719,
            -0.122857265,
            -0.123720855,
            -0.126152694,
            -0.128584519,
            -0.131016359,
            -0.133448198,
            -0.135880023,
            -0.138311863,
            -0.140743688,
            -0.143175527,
            -0.145607367,
            -0.148039192,
            -0.150471032,
            -0.152902871,
            -0.155334696,
            -0.157766536,
            -0.160198361,
            -0.1626302,
            -0.164135247,
            -0.165594354,
            -0.167053446,
            -0.168512553,
            -0.169971645,
            -0.171430752,
            -0.172889844,
            -0.17434895,
            -0.175808042,
            -0.177267149,
            -0.178726241,
            -0.180185348,
            -0.18164444,
            -0.183103547,
            -0.184562638,
            -0.186021745,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186693847,
            -0.187423393,
            -0.188152939,
            -0.1888825,
            -0.189612046,
            -0.190341592,
            -0.191071138,
            -0.191800699,
            -0.192530245,
            -0.193259791,
            -0.193989336,
            -0.194718897,
            -0.195448443,
            -0.196177989,
            -0.196907535,
            -0.197637096,
            -0.198475778,
            -0.199448511,
            -0.200421244,
            -0.201393977,
            -0.20236671,
            -0.203339443,
            -0.204312176,
            -0.205284908,
            -0.206257641,
            -0.207230374,
            -0.208203107,
            -0.20917584,
            -0.210148573,
            -0.211121306,
            -0.212094039,
            -0.213066772,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213533998,
            -0.212561265,
            -0.211588532,
            -0.210615799,
            -0.209643066,
            -0.208670333,
            -0.2076976,
            -0.206724867,
            -0.205752134,
            -0.204779401,
            -0.203806669,
            -0.202833936,
            -0.201861203,
            -0.20088847,
            -0.199915737,
            -0.198943004,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197533682,
            -0.196804136,
            -0.19607459,
            -0.195345044,
            -0.194615483,
            -0.193885937,
            -0.193156391,
            -0.192426845,
            -0.191697299,
            -0.190967739,
            -0.190238193,
            -0.189508647,
            -0.188779101,
            -0.18804954,
            -0.187319994,
            -0.186590448,
            -0.185860902,
            -0.185131341,
            -0.184401795,
            -0.183672249,
            -0.182942703,
            -0.182213143,
            -0.181483597,
            -0.180754051,
            -0.180024505,
            -0.179294944,
            -0.178565398,
            -0.177835852,
            -0.177106306,
            -0.176376745,
            -0.175647199,
            -0.174917653,
            -0.174188107,
            -0.173458546,
            -0.172729,
            -0.171999454,
            -0.171269909,
            -0.170540348,
            -0.169810802,
            -0.169081256,
            -0.16835171,
            -0.167622149,
            -0.166892603,
            -0.166163057,
            -0.165433511,
            -0.164703965,
            -0.163974404,
            -0.163244858,
            -0.162285537,
            -0.16082643,
            -0.159367338,
            -0.157908231,
            -0.156449139,
            -0.154990032,
            -0.15353094,
            -0.152071834,
            -0.150612742,
            -0.149153635,
            -0.147694543,
            -0.146235436,
            -0.144776344,
            -0.143317237,
            -0.141858146,
            -0.140399039,
            -0.139031857,
            -0.138059124,
            -0.137086391,
            -0.136113644,
            -0.135140911,
            -0.134168178,
            -0.133195445,
            -0.132222712,
            -0.131249979,
            -0.130277246,
            -0.129304513,
            -0.12833178,
            -0.127359033,
            -0.1263863,
            -0.125413567,
            -0.124440834,
            -0.123483419,
            -0.122753866,
            -0.122024313,
            -0.121294767,
            -0.120565213,
            -0.11983566,
            -0.119106114,
            -0.118376561,
            -0.117647007,
            -0.116917454,
            -0.1161879,
            -0.115458354,
            -0.114728801,
            -0.113999248,
            -0.113269702,
            -0.112540148,
            -0.111810595,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11235632,
            -0.113085873,
            -0.113815427,
            -0.11454498,
            -0.115274526,
            -0.11600408,
            -0.116733633,
            -0.117463186,
            -0.118192732,
            -0.118922286,
            -0.119651839,
            -0.120381385,
            -0.121110938,
            -0.121840492,
            -0.122570045,
            -0.123299599,
            -0.12419574,
            -0.125168473,
            -0.126141205,
            -0.127113938,
            -0.128086671,
            -0.129059404,
            -0.130032137,
            -0.131004885,
            -0.131977618,
            -0.132950351,
            -0.133923084,
            -0.134895816,
            -0.135868549,
            -0.136841282,
            -0.137814015,
            -0.138786763,
            -0.139623538,
            -0.140353084,
            -0.14108263,
            -0.14181219,
            -0.142541736,
            -0.143271282,
            -0.144000828,
            -0.144730389,
            -0.145459935,
            -0.146189481,
            -0.146919027,
            -0.147648588,
            -0.148378134,
            -0.14910768,
            -0.149837226,
            -0.150566787,
            -0.151296332,
            -0.152025878,
            -0.152755424,
            -0.153484985,
            -0.154214531,
            -0.154944077,
            -0.155673623,
            -0.156403184,
            -0.15713273,
            -0.157862276,
            -0.158591822,
            -0.159321368,
            -0.160050929,
            -0.160780475,
            -0.16151002,
            -0.162239581,
            -0.162969127,
            -0.163698673,
            -0.164428219,
            -0.165157765,
            -0.165887326,
            -0.166616872,
            -0.167346418,
            -0.168075964,
            -0.168805525,
            -0.169535071,
            -0.170264617,
            -0.170994163,
            -0.171723723,
            -0.172453269,
            -0.173182815,
            -0.173912361,
            -0.174774036,
            -0.176233143,
            -0.177692235,
            -0.179151341,
            -0.180610433,
            -0.18206954,
            -0.183528632,
            -0.184987739,
            -0.186446831,
            -0.187905937,
            -0.189365029,
            -0.190824136,
            -0.192283228,
            -0.193742335,
            -0.195201427,
            -0.196660534,
            -0.198133036,
            -0.199835315,
            -0.201537594,
            -0.203239873,
            -0.204942167,
            -0.206644446,
            -0.208346725,
            -0.210049003,
            -0.211751282,
            -0.213453576,
            -0.215155855,
            -0.216858134,
            -0.218560413,
            -0.220262706,
            -0.221964985,
            -0.223667264,
            -0.225369543,
            -0.226845875,
            -0.228304982,
            -0.229764074,
            -0.231223181,
            -0.232682273,
            -0.23414138,
            -0.235600471,
            -0.237059578,
            -0.23851867,
            -0.239977777,
            -0.241436869,
            -0.242895976,
            -0.244355068,
            -0.245814174,
            -0.247273266,
            -0.248732373,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.248531312,
            -0.247801766,
            -0.24707222,
            -0.246342659,
            -0.245613113,
            -0.244883567,
            -0.244154021,
            -0.24342446,
            -0.242694914,
            -0.241965368,
            -0.241235822,
            -0.240506262,
            -0.239776716,
            -0.23904717,
            -0.238317624,
            -0.237588063,
            -0.236858517,
            -0.236128971,
            -0.235399425,
            -0.234669864,
            -0.233940318,
            -0.233210772,
            -0.232481226,
            -0.231751665,
            -0.23102212,
            -0.230292574,
            -0.229563028,
            -0.228833467,
            -0.228103921,
            -0.227374375,
            -0.226644829,
            -0.225915268,
            -0.225185722,
            -0.224456176,
            -0.22372663,
            -0.222997069,
            -0.222267523,
            -0.221537977,
            -0.220808432,
            -0.220078871,
            -0.219349325,
            -0.218619779,
            -0.217890233,
            -0.217160672,
            -0.216431126,
            -0.21570158,
            -0.214972034,
            -0.214242488,
            -0.213229537,
            -0.211527258,
            -0.209824979,
            -0.208122686,
            -0.206420407,
            -0.204718128,
            -0.203015849,
            -0.201313555,
            -0.199611276,
            -0.197908998,
            -0.196206719,
            -0.194504425,
            -0.192802146,
            -0.191099867,
            -0.189397588,
            -0.187695295,
            -0.186033234,
            -0.184574127,
            -0.183115035,
            -0.181655928,
            -0.180196837,
            -0.17873773,
            -0.177278638,
            -0.175819531,
            -0.174360439,
            -0.172901332,
            -0.17144224,
            -0.169983134,
            -0.168524042,
            -0.167064935,
            -0.165605843,
            -0.164146736,
            -0.162687644,
            -0.161228538,
            -0.159769446,
            -0.158310339,
            -0.156851247,
            -0.15539214,
            -0.153933048,
            -0.152473956,
            -0.15101485,
            -0.149555758,
            -0.148096651,
            -0.146637559,
            -0.145178452,
            -0.14371936,
            -0.142260253,
            -0.140801162,
            -0.139342055,
            -0.136994481,
            -0.134562641,
            -0.132130802,
            -0.129698977,
            -0.127267137,
            -0.124835305,
            -0.122403473,
            -0.11997164,
            -0.117539808,
            -0.115107968,
            -0.112676136,
            -0.110244304,
            -0.107812464,
            -0.105380639,
            -0.1029488,
            -0.100516967,
            -0.0988510698,
            -0.0973919705,
            -0.0959328711,
            -0.0944737718,
            -0.0930146724,
            -0.091555573,
            -0.0900964737,
            -0.0886373743,
            -0.087178275,
            -0.0857191756,
            -0.0842600763,
            -0.0828009769,
            -0.0813418776,
            -0.0798827782,
            -0.0784236789,
            -0.0769645795,
            -0.075344637,
            -0.0736423507,
            -0.0719400719,
            -0.0702377856,
            -0.0685355067,
            -0.0668332204,
            -0.0651309416,
            -0.0634286553,
            -0.0617263764,
            -0.0600240938,
            -0.0583218113,
            -0.0566195287,
            -0.0549172461,
            -0.0532149635,
            -0.0515126809,
            -0.0498103984,
            -0.0478476994,
            -0.0456590503,
            -0.0434704013,
            -0.0412817523,
            -0.039093107,
            -0.0369044542,
            -0.0347158089,
            -0.0325271562,
            -0.0303385109,
            -0.0281498618,
            -0.0259612128,
            -0.0237725638,
            -0.0215839148,
            -0.0193952657,
            -0.0172066167,
            -0.0150179677,
            -0.0127297491,
            -0.0102979168,
            -0.00786608458,
            -0.00543425325,
            -0.003002421,
            -0.000570588745,
            0.00186124258,
            0.00429307483,
            0.00672490709,
            0.00915673934,
            0.0115885716,
            0.014020402,
            0.0164522342,
            0.0188840665,
            0.0213158987,
            0.023747731,
            0.0261106286,
            0.0282992776,
            0.0304879267,
            0.0326765738,
            0.0348652229,
            0.0370538719,
            0.0392425209,
            0.04143117,
            0.043619819,
            0.045808468,
            0.047997117,
            0.0501857661,
            0.0523744151,
            0.0545630604,
            0.0567517132,
            0.0589403585,
            0.0610524155,
            0.0627546981,
            0.0644569844,
            0.0661592633,
            0.0678615421,
            0.0695638284,
            0.0712661073,
            0.0729683936,
            0.0746706724,
            0.0763729587,
            0.0780752376,
            0.0797775239,
            0.0814798027,
            0.083182089,
            0.0848843679,
            0.0865866542,
            0.0882812738,
            0.0897403732,
            0.0911994725,
            0.0926585719,
            0.0941176713,
            0.0955767706,
            0.09703587,
            0.0984949693,
            0.0999540687,
            0.101413168,
            0.102872267,
            0.104331367,
            0.105790466,
            0.107249565,
            0.108708665,
            0.110167764,
            0.111626863,
            0.113306165,
            0.115008451,
            0.11671073,
            0.118413016,
            0.120115295,
            0.121817574,
            0.12351986,
            0.125222147,
            0.126924425,
            0.128626704,
            0.130328983,
            0.132031277,
            0.133733556,
            0.135435835,
            0.137138113,
            0.138840407,
            0.140353113,
            0.14181222,
            0.143271327,
            0.144730434,
            0.146189526,
            0.147648633,
            0.149107739,
            0.150566846,
            0.152025938,
            0.153485045,
            0.154944152,
            0.156403244,
            0.15786235,
            0.159321457,
            0.160780564,
            0.162239656,
            0.163698763,
            0.165157855,
            0.166616946,
            0.168076053,
            0.169535145,
            0.170994237,
            0.172453329,
            0.173912436,
            0.175371528,
            0.17683062,
            0.178289711,
            0.179748803,
            0.18120791,
            0.182667002,
            0.184126094,
            0.185585186,
            0.18678771,
            0.187760442,
            0.188733175,
            0.189705908,
            0.190678656,
            0.191651389,
            0.192624122,
            0.193596855,
            0.194569603,
            0.195542336,
            0.196515068,
            0.197487801,
            0.198460549,
            0.199433282,
            0.200406015,
            0.201378748,
            0.202253833,
            0.202983379,
            0.203712925,
            0.204442471,
            0.205172017,
            0.205901563,
            0.206631109,
            0.207360655,
            0.208090201,
            0.208819747,
            0.209549293,
            0.210278839,
            0.211008385,
            0.211737931,
            0.212467477,
            0.213197023,
            0.213926569,
            0.214656115,
            0.215385661,
            0.216115206,
            0.216844767,
            0.217574313,
            0.218303859,
            0.219033405,
            0.219762966,
            0.220492512,
            0.221222058,
            0.221951604,
            0.222681165,
            0.223410711,
            0.224140257,
            0.224869803,
            0.225599363,
            0.226328909,
            0.227058455,
            0.227788001,
            0.228517562,
            0.229247108,
            0.229976654,
            0.2307062,
            0.231435761,
            0.232165307,
            0.232894853,
            0.233624399,
            0.23435396,
            0.235083506,
            0.235813051,
            0.236542597,
            0.237272158,
            0.238001704,
            0.23873125,
            0.239460796,
            0.240190357,
            0.240919903,
            0.241649449,
            0.242378995,
            0.243108541,
            0.243838102,
            0.244567648,
            0.245297194,
            0.246026739,
            0.2467563,
            0.247485846,
            0.248215392,
            0.248944938,
            0.250547647,
            0.252249956,
            0.253952235,
            0.255654544,
            0.257356822,
            0.259059101,
            0.26076141,
            0.262463689,
            0.264165968,
            0.265868276,
            0.267570555,
            0.269272864,
            0.270975143,
            0.272677422,
            0.27437973,
            0.276082009,
            0.277033687,
            0.277763218,
            0.278492779,
            0.27922231,
            0.27995187,
            0.280681401,
            0.281410962,
            0.282140493,
            0.282870054,
            0.283599585,
            0.284329146,
            0.285058677,
            0.285788238,
            0.286517769,
            0.28724733,
            0.287976861,
            0.288706422,
            0.289435953,
            0.290165514,
            0.290895075,
            0.291624606,
            0.292354167,
            0.293083698,
            0.293813258,
            0.294542819,
            0.29527235,
            0.296001911,
            0.296731472,
            0.297461003,
            0.298190564,
            0.298920095,
            0.299649656,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300195396,
            0.300924927,
            0.301654488,
            0.302384019,
            0.30311358,
            0.303843141,
            0.304572672,
            0.305302233,
            0.306031793,
            0.306761324,
            0.307490885,
            0.308220416,
            0.308949977,
            0.309679538,
            0.310409069,
            0.31113863,
            0.311868191,
            0.312597722,
            0.313327283,
            0.314056814,
            0.314786375,
            0.315515935,
            0.316245466,
            0.316975027,
            0.317704588,
            0.318434119,
            0.31916368,
            0.319893211,
            0.320622772,
            0.321352333,
            0.322081864,
            0.322811425,
            0.3235448,
            0.324517548,
            0.325490266,
            0.326462984,
            0.327435732,
            0.32840845,
            0.329381198,
            0.330353916,
            0.331326663,
            0.332299381,
            0.333272129,
            0.334244847,
            0.335217595,
            0.336190313,
            0.337163061,
            0.338135779,
            0.339108527,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.338595361,
            0.337622613,
            0.336649895,
            0.335677147,
            0.334704429,
            0.333731681,
            0.332758963,
            0.331786215,
            0.330813497,
            0.32984075,
            0.328868032,
            0.327895284,
            0.326922566,
            0.325949818,
            0.3249771,
            0.324004352,
            0.323156089,
            0.322426528,
            0.321696997,
            0.320967436,
            0.320237905,
            0.319508344,
            0.318778783,
            0.318049252,
            0.317319691,
            0.31659013,
            0.315860599,
            0.315131038,
            0.314401507,
            0.313671947,
            0.312942386,
            0.312212855,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311770529,
            0.31250006,
            0.31322962,
            0.313959181,
            0.314688712,
            0.315418273,
            0.316147804,
            0.316877365,
            0.317606926,
            0.318336457,
            0.319066018,
            0.319795579,
            0.32052511,
            0.321254671,
            0.321984202,
            0.322713763,
            0.323443323,
            0.324387312,
            0.32536006,
            0.326332778,
            0.327305526,
            0.328278244,
            0.329250991,
            0.330223709,
            0.331196457,
            0.332169175,
            0.333141923,
            0.334114641,
            0.335087389,
            0.336060107,
            0.337032855,
            0.338005573,
            0.33897832,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.33860302,
            0.337630272,
            0.336657554,
            0.335684806,
            0.334712088,
            0.33373934,
            0.332766622,
            0.331793875,
            0.330821157,
            0.329848409,
            0.328875691,
            0.327902943,
            0.326930225,
            0.325957477,
            0.324984759,
            0.324012011,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323897123,
            0.324869871,
            0.325842589,
            0.326815337,
            0.327788055,
            0.328760803,
            0.329733521,
            0.330706269,
            0.331678987,
            0.332651734,
            0.333624452,
            0.3345972,
            0.335569918,
            0.336542666,
            0.337515384,
            0.338488132,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755
          ],
          [
            0.300000072,
            0.299270511,
            0.29854098,
            0.297811419,
            0.297081888,
            0.296352327,
            0.295622766,
            0.294893235,
            0.294163674,
            0.293434113,
            0.292704582,
            0.291975021,
            0.29124549,
            0.290515929,
            0.289786369,
            0.289056838,
            0.288327277,
            0.287597746,
            0.286868185,
            0.286138654,
            0.285409093,
            0.284679562,
            0.283950001,
            0.28322047,
            0.282490909,
            0.281761378,
            0.281031817,
            0.280302286,
            0.279572725,
            0.278843194,
            0.278113633,
            0.277384102,
            0.276654541,
            0.275743097,
            0.274770349,
            0.273797601,
            0.272824883,
            0.271852136,
            0.270879388,
            0.26990667,
            0.268933922,
            0.267961204,
            0.266988456,
            0.266015708,
            0.26504299,
            0.264070243,
            0.263097495,
            0.262124777,
            0.261152029,
            0.260330558,
            0.259601027,
            0.258871466,
            0.258141905,
            0.257412344,
            0.256682813,
            0.255953252,
            0.255223691,
            0.254494131,
            0.2537646,
            0.253035039,
            0.252305478,
            0.251575947,
            0.250846386,
            0.250116825,
            0.249387264,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249197707,
            0.249927253,
            0.250656813,
            0.251386374,
            0.252115905,
            0.252845466,
            0.253575027,
            0.254304588,
            0.255034119,
            0.25576368,
            0.256493241,
            0.257222801,
            0.257952332,
            0.258681893,
            0.259411454,
            0.260141015,
            0.260899276,
            0.261872023,
            0.262844741,
            0.263817489,
            0.264790237,
            0.265762955,
            0.266735703,
            0.267708421,
            0.268681169,
            0.269653916,
            0.270626634,
            0.271599382,
            0.2725721,
            0.273544848,
            0.274517596,
            0.275490314,
            0.276463062,
            0.277918339,
            0.279377431,
            0.280836523,
            0.282295614,
            0.283754706,
            0.285213798,
            0.28667289,
            0.288131982,
            0.289591104,
            0.291050196,
            0.292509288,
            0.293968379,
            0.295427471,
            0.296886563,
            0.298345655,
            0.299804747,
            0.30063197,
            0.301361501,
            0.302091062,
            0.302820623,
            0.303550154,
            0.304279715,
            0.305009276,
            0.305738807,
            0.306468368,
            0.307197899,
            0.307927459,
            0.30865702,
            0.309386551,
            0.310116112,
            0.310845673,
            0.311575204,
            0.312304765,
            0.313034296,
            0.313763857,
            0.314493418,
            0.315222949,
            0.31595251,
            0.316682041,
            0.317411602,
            0.318141162,
            0.318870693,
            0.319600254,
            0.320329815,
            0.321059346,
            0.321788907,
            0.322518468,
            0.323247999,
            0.324126899,
            0.325099647,
            0.326072365,
            0.327045113,
            0.328017831,
            0.328990579,
            0.329963297,
            0.330936044,
            0.331908762,
            0.33288151,
            0.333854228,
            0.334826976,
            0.335799694,
            0.336772442,
            0.33774516,
            0.338717908,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.33898598,
            0.338013232,
            0.337040514,
            0.336067766,
            0.335095048,
            0.3341223,
            0.333149582,
            0.332176834,
            0.331204116,
            0.330231369,
            0.329258651,
            0.328285903,
            0.327313185,
            0.326340437,
            0.325367719,
            0.324394971,
            0.323449045,
            0.322719514,
            0.321989954,
            0.321260422,
            0.320530862,
            0.319801301,
            0.31907177,
            0.318342209,
            0.317612648,
            0.316883117,
            0.316153556,
            0.315424025,
            0.314694464,
            0.313964903,
            0.313235372,
            0.312505811,
            0.31177628,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.31123054,
            0.310500979,
            0.309771448,
            0.309041888,
            0.308312327,
            0.307582796,
            0.306853235,
            0.306123704,
            0.305394143,
            0.304664582,
            0.303935051,
            0.30320549,
            0.302475929,
            0.301746398,
            0.301016837,
            0.300287306,
            0.299557745,
            0.298828185,
            0.298098654,
            0.297369093,
            0.296639562,
            0.295910001,
            0.29518044,
            0.294450909,
            0.293721348,
            0.292991787,
            0.292262256,
            0.291532695,
            0.290803164,
            0.290073603,
            0.289344043,
            0.288614511,
            0.28741774,
            0.285715461,
            0.284013182,
            0.282310873,
            0.280608594,
            0.278906316,
            0.277204037,
            0.275501758,
            0.273799479,
            0.2720972,
            0.270394921,
            0.268692642,
            0.266990334,
            0.265288055,
            0.263585776,
            0.261883497,
            0.260267377,
            0.258808285,
            0.257349163,
            0.255890071,
            0.254430979,
            0.252971858,
            0.251512766,
            0.250053674,
            0.248594552,
            0.24713546,
            0.245676354,
            0.244217247,
            0.242758155,
            0.241299048,
            0.239839941,
            0.238380834,
            0.237088323,
            0.236358777,
            0.235629231,
            0.234899685,
            0.234170124,
            0.233440578,
            0.232711032,
            0.231981486,
            0.231251925,
            0.230522379,
            0.229792833,
            0.229063287,
            0.228333727,
            0.227604181,
            0.226874635,
            0.226145089,
            0.225415528,
            0.224685982,
            0.223956436,
            0.22322689,
            0.222497329,
            0.221767783,
            0.221038237,
            0.220308691,
            0.21957913,
            0.218849584,
            0.218120039,
            0.217390493,
            0.216660947,
            0.215931386,
            0.21520184,
            0.214472294,
            0.213742733,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213105112,
            0.212375566,
            0.21164602,
            0.210916474,
            0.210186929,
            0.209457383,
            0.208727837,
            0.207998291,
            0.207268745,
            0.206539199,
            0.205809653,
            0.205080107,
            0.204350561,
            0.203621015,
            0.202891469,
            0.202161923,
            0.201256201,
            0.200283468,
            0.199310735,
            0.198337987,
            0.197365254,
            0.196392521,
            0.195419788,
            0.194447041,
            0.193474308,
            0.192501575,
            0.191528842,
            0.190556094,
            0.189583361,
            0.188610628,
            0.187637895,
            0.186665148,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185929865,
            0.185200304,
            0.184470758,
            0.183741212,
            0.183011666,
            0.182282105,
            0.181552559,
            0.180823013,
            0.180093467,
            0.179363906,
            0.17863436,
            0.177904814,
            0.177175269,
            0.176445723,
            0.175716162,
            0.174986616,
            0.17425707,
            0.173527524,
            0.172797978,
            0.172068432,
            0.171338886,
            0.17060934,
            0.169879794,
            0.169150248,
            0.168420702,
            0.167691156,
            0.16696161,
            0.166232064,
            0.165502518,
            0.164772972,
            0.164043427,
            0.163313881,
            0.162584335,
            0.161854774,
            0.161125228,
            0.160395667,
            0.159666121,
            0.15893656,
            0.158207014,
            0.157477453,
            0.156747907,
            0.156018347,
            0.155288801,
            0.15455924,
            0.153829694,
            0.153100133,
            0.152370587,
            0.151641026,
            0.15081957,
            0.149117291,
            0.147414997,
            0.145712718,
            0.14401044,
            0.142308161,
            0.140605867,
            0.138903588,
            0.137201309,
            0.13549903,
            0.133796751,
            0.132094458,
            0.130392179,
            0.1286899,
            0.126987606,
            0.125285327,
            0.123583049,
            0.122822866,
            0.122093312,
            0.121363766,
            0.120634213,
            0.119904667,
            0.119175114,
            0.118445568,
            0.117716014,
            0.116986468,
            0.116256915,
            0.115527369,
            0.114797816,
            0.11406827,
            0.113338716,
            0.11260917,
            0.111879617,
            0.110535413,
            0.109076306,
            0.107617214,
            0.106158115,
            0.104699016,
            0.103239916,
            0.101780817,
            0.100321718,
            0.0988626182,
            0.0974035189,
            0.0959444195,
            0.0944853202,
            0.0930262208,
            0.0915671214,
            0.0901080221,
            0.0886489227,
            0.0864928216,
            0.0840609968,
            0.0816291571,
            0.0791973323,
            0.0767655,
            0.0743336678,
            0.0719018355,
            0.0694700032,
            0.067038171,
            0.0646063387,
            0.0621745065,
            0.0597426742,
            0.057310842,
            0.0548790097,
            0.0524471775,
            0.0500153452,
            0.0481579602,
            0.0466988608,
            0.0452397652,
            0.0437806658,
            0.0423215665,
            0.0408624671,
            0.0394033678,
            0.0379442684,
            0.0364851691,
            0.0350260697,
            0.0335669704,
            0.032107871,
            0.0306487717,
            0.0291896723,
            0.027730573,
            0.0262714736,
            0.0251512993,
            0.0244217496,
            0.0236922,
            0.0229626503,
            0.0222331006,
            0.0215035528,
            0.0207740031,
            0.0200444534,
            0.0193149038,
            0.0185853541,
            0.0178558044,
            0.0171262547,
            0.0163967051,
            0.0156671554,
            0.0149376057,
            0.014208056,
            0.0134785064,
            0.0127489567,
            0.012019407,
            0.0112898573,
            0.0105603077,
            0.00983075798,
            0.0091012083,
            0.00837165862,
            0.00764210941,
            0.0069125602,
            0.00618301053,
            0.00545346085,
            0.00472391117,
            0.0039943615,
            0.00326481182,
            0.00253526215,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00187656155,
            0.000903828768,
            -6.89039007e-5,
            -0.0010416368,
            -0.0020143697,
            -0.00298710261,
            -0.00395983504,
            -0.00493256794,
            -0.00590530038,
            -0.00687803328,
            -0.00785076618,
            -0.00882349908,
            -0.00979623199,
            -0.0107689649,
            -0.0117416978,
            -0.0127144307,
            -0.0136871636,
            -0.015127114,
            -0.0165862124,
            -0.0180453118,
            -0.0195044111,
            -0.0209635105,
            -0.0224226099,
            -0.0238817092,
            -0.0253408086,
            -0.026799906,
            -0.0282590054,
            -0.0297181047,
            -0.0311772041,
            -0.0326363035,
            -0.0340954028,
            -0.0355545022,
            -0.0370136015,
            -0.0384727009,
            -0.0399318002,
            -0.0413908996,
            -0.0428499989,
            -0.0443090983,
            -0.0457681976,
            -0.047227297,
            -0.0486863963,
            -0.050145492,
            -0.0516045913,
            -0.0530636907,
            -0.05452279,
            -0.0559818894,
            -0.0574409887,
            -0.0589000881,
            -0.0603591874,
            -0.0614736192,
            -0.0624463521,
            -0.0634190813,
            -0.0643918142,
            -0.0653645471,
            -0.06633728,
            -0.0673100129,
            -0.0682827458,
            -0.0692554787,
            -0.0702282116,
            -0.0712009445,
            -0.0721736774,
            -0.0731464103,
            -0.0741191432,
            -0.0750918761,
            -0.076064609,
            -0.0768956468,
            -0.0776251927,
            -0.0783547461,
            -0.0790842921,
            -0.0798138455,
            -0.0805433914,
            -0.0812729448,
            -0.0820024908,
            -0.0827320442,
            -0.0834615901,
            -0.0841911435,
            -0.0849206895,
            -0.0856502429,
            -0.0863797888,
            -0.0871093422,
            -0.0878388882,
            -0.0885684416,
            -0.0892979875,
            -0.0900275409,
            -0.0907570869,
            -0.0914866403,
            -0.0922161862,
            -0.0929457396,
            -0.0936752856,
            -0.094404839,
            -0.0951343849,
            -0.0958639383,
            -0.0965934843,
            -0.0973230302,
            -0.0980525836,
            -0.098782137,
            -0.099511683,
            -0.100241229,
            -0.100970782,
            -0.101700328,
            -0.102429874,
            -0.10315942,
            -0.103888974,
            -0.10461852,
            -0.105348065,
            -0.106077611,
            -0.106807165,
            -0.107536711,
            -0.108266257,
            -0.108995803,
            -0.109725356,
            -0.110454902,
            -0.111184448,
            -0.111913994,
            -0.112643547,
            -0.113373101,
            -0.114102654,
            -0.1148322,
            -0.115561754,
            -0.116291307,
            -0.11702086,
            -0.117750406,
            -0.11847996,
            -0.119209513,
            -0.119939059,
            -0.120668612,
            -0.121398166,
            -0.122127719,
            -0.122857265,
            -0.123720855,
            -0.126152694,
            -0.128584519,
            -0.131016359,
            -0.133448198,
            -0.135880023,
            -0.138311863,
            -0.140743688,
            -0.143175527,
            -0.145607367,
            -0.148039192,
            -0.150471032,
            -0.152902871,
            -0.155334696,
            -0.157766536,
            -0.160198361,
            -0.1626302,
            -0.163440168,
            -0.164169714,
            -0.164899275,
            -0.165628821,
            -0.166358367,
            -0.167087913,
            -0.167817473,
            -0.168547019,
            -0.169276565,
            -0.170006111,
            -0.170735672,
            -0.171465218,
            -0.172194764,
            -0.17292431,
            -0.173653871,
            -0.174383417,
            -0.175112963,
            -0.175842509,
            -0.17657207,
            -0.177301615,
            -0.178031161,
            -0.178760707,
            -0.179490268,
            -0.180219814,
            -0.18094936,
            -0.181678906,
            -0.182408467,
            -0.183138013,
            -0.183867559,
            -0.184597105,
            -0.185326666,
            -0.186056212,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186693847,
            -0.187423393,
            -0.188152939,
            -0.1888825,
            -0.189612046,
            -0.190341592,
            -0.191071138,
            -0.191800699,
            -0.192530245,
            -0.193259791,
            -0.193989336,
            -0.194718897,
            -0.195448443,
            -0.196177989,
            -0.196907535,
            -0.197637096,
            -0.198475778,
            -0.199448511,
            -0.200421244,
            -0.201393977,
            -0.20236671,
            -0.203339443,
            -0.204312176,
            -0.205284908,
            -0.206257641,
            -0.207230374,
            -0.208203107,
            -0.20917584,
            -0.210148573,
            -0.211121306,
            -0.212094039,
            -0.213066772,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.212545946,
            -0.210843667,
            -0.209141374,
            -0.207439095,
            -0.205736816,
            -0.204034537,
            -0.202332243,
            -0.200629964,
            -0.198927686,
            -0.197225407,
            -0.195523113,
            -0.193820834,
            -0.192118555,
            -0.190416276,
            -0.188713998,
            -0.187011704,
            -0.185860902,
            -0.185131341,
            -0.184401795,
            -0.183672249,
            -0.182942703,
            -0.182213143,
            -0.181483597,
            -0.180754051,
            -0.180024505,
            -0.179294944,
            -0.178565398,
            -0.177835852,
            -0.177106306,
            -0.176376745,
            -0.175647199,
            -0.174917653,
            -0.173866406,
            -0.172407314,
            -0.170948207,
            -0.169489115,
            -0.168030009,
            -0.166570917,
            -0.16511181,
            -0.163652718,
            -0.162193611,
            -0.160734519,
            -0.159275413,
            -0.157816321,
            -0.156357229,
            -0.154898122,
            -0.153439015,
            -0.151979923,
            -0.150444224,
            -0.148741946,
            -0.147039667,
            -0.145337373,
            -0.143635094,
            -0.141932815,
            -0.140230522,
            -0.138528243,
            -0.136825949,
            -0.13512367,
            -0.133421391,
            -0.131719112,
            -0.130016819,
            -0.12831454,
            -0.126612246,
            -0.124909967,
            -0.123391509,
            -0.122661956,
            -0.121932402,
            -0.121202849,
            -0.120473303,
            -0.119743749,
            -0.119014196,
            -0.118284643,
            -0.117555097,
            -0.116825543,
            -0.11609599,
            -0.115366444,
            -0.114636891,
            -0.113907337,
            -0.113177784,
            -0.112448238,
            -0.111718684,
            -0.110989138,
            -0.110259585,
            -0.109530039,
            -0.108800493,
            -0.108070947,
            -0.107341394,
            -0.106611848,
            -0.105882302,
            -0.105152756,
            -0.10442321,
            -0.103693657,
            -0.102964111,
            -0.102234565,
            -0.101505011,
            -0.100775465,
            -0.100045919,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.101183325,
            -0.102642424,
            -0.104101524,
            -0.105560623,
            -0.107019722,
            -0.108478822,
            -0.109937921,
            -0.111397021,
            -0.11285612,
            -0.114315219,
            -0.115774319,
            -0.117233418,
            -0.118692517,
            -0.120151617,
            -0.121610716,
            -0.123069815,
            -0.12469551,
            -0.126397789,
            -0.128100067,
            -0.129802361,
            -0.13150464,
            -0.133206934,
            -0.134909213,
            -0.136611491,
            -0.138313785,
            -0.140016064,
            -0.141718343,
            -0.143420637,
            -0.145122916,
            -0.146825194,
            -0.148527488,
            -0.150229767,
            -0.151388243,
            -0.152117789,
            -0.152847335,
            -0.153576896,
            -0.154306442,
            -0.155035987,
            -0.155765533,
            -0.156495094,
            -0.15722464,
            -0.157954186,
            -0.158683732,
            -0.159413293,
            -0.160142839,
            -0.160872385,
            -0.161601931,
            -0.162331492,
            -0.163061038,
            -0.163790584,
            -0.16452013,
            -0.16524969,
            -0.165979236,
            -0.166708782,
            -0.167438328,
            -0.168167889,
            -0.168897435,
            -0.169626981,
            -0.170356527,
            -0.171086073,
            -0.171815634,
            -0.17254518,
            -0.173274726,
            -0.174004287,
            -0.174733832,
            -0.175463378,
            -0.176192924,
            -0.17692247,
            -0.177652031,
            -0.178381577,
            -0.179111123,
            -0.179840669,
            -0.18057023,
            -0.181299776,
            -0.182029322,
            -0.182758868,
            -0.183488429,
            -0.184217975,
            -0.18494752,
            -0.185677066,
            -0.186582789,
            -0.188285068,
            -0.189987347,
            -0.19168964,
            -0.193391919,
            -0.195094198,
            -0.196796477,
            -0.198498756,
            -0.200201049,
            -0.201903328,
            -0.203605607,
            -0.205307886,
            -0.20701018,
            -0.208712459,
            -0.210414737,
            -0.212117016,
            -0.213805899,
            -0.215265006,
            -0.216724098,
            -0.218183205,
            -0.219642296,
            -0.221101403,
            -0.222560495,
            -0.224019587,
            -0.225478694,
            -0.226937801,
            -0.228396893,
            -0.229855984,
            -0.231315091,
            -0.232774183,
            -0.23423329,
            -0.235692382,
            -0.237151489,
            -0.237932742,
            -0.238662288,
            -0.239391834,
            -0.240121379,
            -0.24085094,
            -0.241580486,
            -0.242310032,
            -0.243039578,
            -0.243769139,
            -0.244498685,
            -0.245228231,
            -0.245957777,
            -0.246687338,
            -0.247416884,
            -0.24814643,
            -0.248875976,
            -0.249605536,
            -0.250335097,
            -0.251064628,
            -0.251794189,
            -0.25252375,
            -0.253253281,
            -0.253982842,
            -0.254712403,
            -0.255441934,
            -0.256171495,
            -0.256901056,
            -0.257630587,
            -0.258360147,
            -0.259089708,
            -0.259819239,
            -0.2605488,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260566026,
            -0.259836495,
            -0.259106934,
            -0.258377373,
            -0.257647842,
            -0.256918281,
            -0.25618872,
            -0.255459189,
            -0.254729629,
            -0.254000068,
            -0.253270537,
            -0.252540976,
            -0.251811415,
            -0.251081854,
            -0.250352323,
            -0.249622762,
            -0.248893216,
            -0.24816367,
            -0.247434109,
            -0.246704563,
            -0.245975018,
            -0.245245472,
            -0.244515911,
            -0.243786365,
            -0.243056819,
            -0.242327273,
            -0.241597712,
            -0.240868166,
            -0.24013862,
            -0.239409074,
            -0.238679513,
            -0.237949967,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.23792699,
            -0.238656536,
            -0.239386097,
            -0.240115643,
            -0.240845188,
            -0.241574734,
            -0.242304295,
            -0.243033841,
            -0.243763387,
            -0.244492933,
            -0.245222494,
            -0.24595204,
            -0.246681586,
            -0.247411132,
            -0.248140693,
            -0.248870239,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.248531312,
            -0.247801766,
            -0.24707222,
            -0.246342659,
            -0.245613113,
            -0.244883567,
            -0.244154021,
            -0.24342446,
            -0.242694914,
            -0.241965368,
            -0.241235822,
            -0.240506262,
            -0.239776716,
            -0.23904717,
            -0.238317624,
            -0.237588063,
            -0.236858517,
            -0.236128971,
            -0.235399425,
            -0.234669864,
            -0.233940318,
            -0.233210772,
            -0.232481226,
            -0.231751665,
            -0.23102212,
            -0.230292574,
            -0.229563028,
            -0.228833467,
            -0.228103921,
            -0.227374375,
            -0.226644829,
            -0.225915268,
            -0.225185722,
            -0.224456176,
            -0.22372663,
            -0.222997069,
            -0.222267523,
            -0.221537977,
            -0.220808432,
            -0.220078871,
            -0.219349325,
            -0.218619779,
            -0.217890233,
            -0.217160672,
            -0.216431126,
            -0.21570158,
            -0.214972034,
            -0.214242488,
            -0.213229537,
            -0.211527258,
            -0.209824979,
            -0.208122686,
            -0.206420407,
            -0.204718128,
            -0.203015849,
            -0.201313555,
            -0.199611276,
            -0.197908998,
            -0.196206719,
            -0.194504425,
            -0.192802146,
            -0.191099867,
            -0.189397588,
            -0.187695295,
            -0.186033234,
            -0.184574127,
            -0.183115035,
            -0.181655928,
            -0.180196837,
            -0.17873773,
            -0.177278638,
            -0.175819531,
            -0.174360439,
            -0.172901332,
            -0.17144224,
            -0.169983134,
            -0.168524042,
            -0.167064935,
            -0.165605843,
            -0.164146736,
            -0.162716359,
            -0.161986813,
            -0.161257267,
            -0.160527721,
            -0.159798175,
            -0.159068614,
            -0.158339068,
            -0.157609522,
            -0.156879976,
            -0.156150416,
            -0.15542087,
            -0.154691324,
            -0.153961778,
            -0.153232217,
            -0.152502671,
            -0.151773125,
            -0.151043579,
            -0.148759186,
            -0.146327347,
            -0.143895507,
            -0.141463667,
            -0.139031842,
            -0.136600003,
            -0.134168163,
            -0.131736323,
            -0.129304498,
            -0.126872659,
            -0.124440819,
            -0.122008987,
            -0.119577155,
            -0.117145315,
            -0.114713475,
            -0.112281643,
            -0.110615745,
            -0.109156646,
            -0.107697546,
            -0.106238455,
            -0.104779355,
            -0.103320256,
            -0.101861164,
            -0.100402065,
            -0.0989429653,
            -0.0974838659,
            -0.0960247666,
            -0.0945656747,
            -0.0931065753,
            -0.091647476,
            -0.0901883841,
            -0.0887292847,
            -0.0866268054,
            -0.0841949731,
            -0.0817631409,
            -0.0793313086,
            -0.0768994763,
            -0.0744676441,
            -0.0720358118,
            -0.0696039796,
            -0.0671721473,
            -0.0647403151,
            -0.0623084828,
            -0.0598766506,
            -0.0574448183,
            -0.0550129861,
            -0.0525811575,
            -0.0501493253,
            -0.0478476994,
            -0.0456590503,
            -0.0434704013,
            -0.0412817523,
            -0.039093107,
            -0.0369044542,
            -0.0347158089,
            -0.0325271562,
            -0.0303385109,
            -0.0281498618,
            -0.0259612128,
            -0.0237725638,
            -0.0215839148,
            -0.0193952657,
            -0.0172066167,
            -0.0150179677,
            -0.0130284624,
            -0.0113261798,
            -0.00962389726,
            -0.00792161562,
            -0.00621933257,
            -0.00451705046,
            -0.00281476788,
            -0.0011124853,
            0.000589797273,
            0.00229207985,
            0.00399436243,
            0.00569664314,
            0.00739892572,
            0.0091012083,
            0.0108034909,
            0.0125057735,
            0.0143459234,
            0.0165345725,
            0.0187232215,
            0.0209118705,
            0.0231005177,
            0.0252891667,
            0.0274778157,
            0.0296664648,
            0.0318551138,
            0.0340437628,
            0.0362324119,
            0.0384210609,
            0.0406097099,
            0.0427983552,
            0.044987008,
            0.0471756533,
            0.0491345227,
            0.0498640724,
            0.050593622,
            0.0513231717,
            0.0520527214,
            0.0527822711,
            0.0535118207,
            0.0542413704,
            0.0549709201,
            0.0557004698,
            0.0564300194,
            0.0571595691,
            0.0578891188,
            0.0586186685,
            0.0593482181,
            0.0600777678,
            0.0608609319,
            0.0632927641,
            0.0657245964,
            0.0681564286,
            0.0705882609,
            0.0730200931,
            0.0754519254,
            0.0778837577,
            0.0803155899,
            0.0827474222,
            0.0851792544,
            0.0876110867,
            0.0900429189,
            0.0924747437,
            0.0949065834,
            0.0973384082,
            0.0997702479,
            0.101321258,
            0.102780357,
            0.104239456,
            0.105698556,
            0.107157655,
            0.108616754,
            0.110075846,
            0.111534953,
            0.112994045,
            0.114453152,
            0.115912244,
            0.117371351,
            0.118830442,
            0.120289549,
            0.121748641,
            0.12320774,
            0.124856412,
            0.126558691,
            0.12826097,
            0.129963264,
            0.131665543,
            0.133367822,
            0.1350701,
            0.136772394,
            0.138474673,
            0.140176952,
            0.141879231,
            0.14358151,
            0.145283803,
            0.146986082,
            0.148688361,
            0.15039064,
            0.151933998,
            0.15339309,
            0.154852197,
            0.156311288,
            0.157770395,
            0.159229487,
            0.160688594,
            0.162147686,
            0.163606793,
            0.165065885,
            0.166524991,
            0.167984083,
            0.16944319,
            0.170902282,
            0.172361389,
            0.173820481,
            0.174894705,
            0.175624251,
            0.176353797,
            0.177083358,
            0.177812904,
            0.17854245,
            0.179271996,
            0.180001557,
            0.180731103,
            0.181460649,
            0.182190195,
            0.182919756,
            0.183649302,
            0.184378847,
            0.185108393,
            0.185837954,
            0.186665148,
            0.187637895,
            0.188610628,
            0.189583361,
            0.190556094,
            0.191528842,
            0.192501575,
            0.193474308,
            0.194447041,
            0.195419788,
            0.196392521,
            0.197365254,
            0.198337987,
            0.199310735,
            0.200283468,
            0.201256201,
            0.202161923,
            0.202891469,
            0.203621015,
            0.204350561,
            0.205080107,
            0.205809653,
            0.206539199,
            0.207268745,
            0.207998291,
            0.208727837,
            0.209457383,
            0.210186929,
            0.210916474,
            0.21164602,
            0.212375566,
            0.213105112,
            0.213943794,
            0.215402901,
            0.216861993,
            0.2183211,
            0.219780192,
            0.221239299,
            0.22269839,
            0.224157497,
            0.225616589,
            0.227075696,
            0.228534788,
            0.229993895,
            0.231452987,
            0.232912093,
            0.234371185,
            0.235830277,
            0.237272158,
            0.238001704,
            0.23873125,
            0.239460796,
            0.240190357,
            0.240919903,
            0.241649449,
            0.242378995,
            0.243108541,
            0.243838102,
            0.244567648,
            0.245297194,
            0.246026739,
            0.2467563,
            0.247485846,
            0.248215392,
            0.248944938,
            0.250547647,
            0.252249956,
            0.253952235,
            0.255654544,
            0.257356822,
            0.259059101,
            0.26076141,
            0.262463689,
            0.264165968,
            0.265868276,
            0.267570555,
            0.269272864,
            0.270975143,
            0.272677422,
            0.27437973,
            0.276082009,
            0.277033687,
            0.277763218,
            0.278492779,
            0.27922231,
            0.27995187,
            0.280681401,
            0.281410962,
            0.282140493,
            0.282870054,
            0.283599585,
            0.284329146,
            0.285058677,
            0.285788238,
            0.286517769,
            0.28724733,
            0.287976861,
            0.288706422,
            0.289435953,
            0.290165514,
            0.290895075,
            0.291624606,
            0.292354167,
            0.293083698,
            0.293813258,
            0.294542819,
            0.29527235,
            0.296001911,
            0.296731472,
            0.297461003,
            0.298190564,
            0.298920095,
            0.299649656,
            0.300379217,
            0.301108748,
            0.301838309,
            0.302567869,
            0.3032974,
            0.304026961,
            0.304756492,
            0.305486053,
            0.306215614,
            0.306945145,
            0.307674706,
            0.308404267,
            0.309133798,
            0.309863359,
            0.31059289,
            0.311322451,
            0.311477542,
            0.310748011,
            0.31001845,
            0.309288889,
            0.308559358,
            0.307829797,
            0.307100266,
            0.306370705,
            0.305641145,
            0.304911613,
            0.304182053,
            0.303452492,
            0.302722961,
            0.3019934,
            0.301263869,
            0.300534308,
            0.300195396,
            0.300924927,
            0.301654488,
            0.302384019,
            0.30311358,
            0.303843141,
            0.304572672,
            0.305302233,
            0.306031793,
            0.306761324,
            0.307490885,
            0.308220416,
            0.308949977,
            0.309679538,
            0.310409069,
            0.31113863,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311207563,
            0.310478002,
            0.309748471,
            0.30901891,
            0.308289349,
            0.307559818,
            0.306830257,
            0.306100726,
            0.305371165,
            0.304641604,
            0.303912073,
            0.303182513,
            0.302452981,
            0.301723421,
            0.30099386,
            0.300264329,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.299626678,
            0.298897117,
            0.298167586,
            0.297438025,
            0.296708494,
            0.295978934,
            0.295249373,
            0.294519842,
            0.293790281,
            0.29306072,
            0.292331189,
            0.291601628,
            0.290872097,
            0.290142536,
            0.289412975,
            0.288683444,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288878739,
            0.2896083,
            0.290337861,
            0.291067392,
            0.291796952,
            0.292526484,
            0.293256044,
            0.293985605,
            0.294715136,
            0.295444697,
            0.296174258,
            0.296903789,
            0.29763335,
            0.298362881,
            0.299092442,
            0.299822003,
            0.300551534,
            0.301281095,
            0.302010655,
            0.302740186,
            0.303469747,
            0.304199278,
            0.304928839,
            0.3056584,
            0.306387931,
            0.307117492,
            0.307847023,
            0.308576584,
            0.309306145,
            0.310035676,
            0.310765237,
            0.311494797,
            0.312224329,
            0.312953889,
            0.31368342,
            0.314412981,
            0.315142542,
            0.315872073,
            0.316601634,
            0.317331195,
            0.318060726,
            0.318790287,
            0.319519818,
            0.320249379,
            0.32097894,
            0.321708471,
            0.322438031,
            0.323167592,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323897123,
            0.324869871,
            0.325842589,
            0.326815337,
            0.327788055,
            0.328760803,
            0.329733521,
            0.330706269,
            0.331678987,
            0.332651734,
            0.333624452,
            0.3345972,
            0.335569918,
            0.336542666,
            0.337515384,
            0.338488132,
            0.338970661,
            0.337997913,
            0.337025195,
            0.336052448,
            0.33507973,
            0.334106982,
            0.333134264,
            0.332161516,
            0.331188798,
            0.33021605,
            0.329243332,
            0.328270584,
            0.327297866,
            0.326325119,
            0.325352401,
            0.324379653,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482
          ],
          [
            0.288235366,
            0.287505835,
            0.286776274,
            0.286046743,
            0.285317183,
            0.284587651,
            0.283858091,
            0.28312856,
            0.282398999,
            0.281669468,
            0.280939907,
            0.280210376,
            0.279480815,
            0.278751284,
            0.278021723,
            0.277292192,
            0.276562631,
            0.27562052,
            0.274647802,
            0.273675054,
            0.272702336,
            0.271729589,
            0.270756841,
            0.269784123,
            0.268811375,
            0.267838657,
            0.266865909,
            0.265893161,
            0.264920443,
            0.263947695,
            0.262974948,
            0.26200223,
            0.261029482,
            0.260238647,
            0.259509116,
            0.258779556,
            0.258049995,
            0.257320434,
            0.256590903,
            0.255861342,
            0.255131781,
            0.25440222,
            0.253672689,
            0.252943128,
            0.252213567,
            0.251484007,
            0.250754476,
            0.250024915,
            0.249295354,
            0.248565808,
            0.247836262,
            0.247106716,
            0.246377155,
            0.245647609,
            0.244918063,
            0.244188517,
            0.243458956,
            0.242729411,
            0.241999865,
            0.241270319,
            0.240540758,
            0.239811212,
            0.239081666,
            0.23835212,
            0.237622559,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237433001,
            0.238162547,
            0.238892093,
            0.239621639,
            0.2403512,
            0.241080746,
            0.241810292,
            0.242539838,
            0.243269399,
            0.243998945,
            0.244728491,
            0.245458037,
            0.246187598,
            0.246917143,
            0.247646689,
            0.248376235,
            0.249105796,
            0.249835342,
            0.250564903,
            0.251294464,
            0.252023995,
            0.252753556,
            0.253483117,
            0.254212677,
            0.254942209,
            0.255671769,
            0.25640133,
            0.257130861,
            0.257860422,
            0.258589983,
            0.259319544,
            0.260049105,
            0.260778636,
            0.262473255,
            0.264175534,
            0.265877843,
            0.267580122,
            0.269282401,
            0.270984679,
            0.272686958,
            0.274389237,
            0.276091516,
            0.277793795,
            0.279496104,
            0.281198382,
            0.282900661,
            0.28460294,
            0.286305219,
            0.288007498,
            0.288867265,
            0.289596796,
            0.290326357,
            0.291055918,
            0.291785449,
            0.29251501,
            0.29324457,
            0.293974102,
            0.294703662,
            0.295433193,
            0.296162754,
            0.296892315,
            0.297621846,
            0.298351407,
            0.299080968,
            0.299810499,
            0.30054006,
            0.301269591,
            0.301999152,
            0.302728713,
            0.303458244,
            0.304187804,
            0.304917336,
            0.305646896,
            0.306376457,
            0.307105988,
            0.307835549,
            0.30856511,
            0.309294641,
            0.310024202,
            0.310753763,
            0.311483294,
            0.312212855,
            0.312942386,
            0.313671947,
            0.314401507,
            0.315131038,
            0.315860599,
            0.31659013,
            0.317319691,
            0.318049252,
            0.318778783,
            0.319508344,
            0.320237905,
            0.320967436,
            0.321696997,
            0.322426528,
            0.323156089,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323357135,
            0.322627604,
            0.321898043,
            0.321168512,
            0.320438951,
            0.31970939,
            0.318979859,
            0.318250299,
            0.317520738,
            0.316791207,
            0.316061646,
            0.315332115,
            0.314602554,
            0.313872993,
            0.313143462,
            0.312413901,
            0.31168434,
            0.310954809,
            0.310225248,
            0.309495717,
            0.308766156,
            0.308036596,
            0.307307065,
            0.306577504,
            0.305847943,
            0.305118412,
            0.304388851,
            0.30365932,
            0.302929759,
            0.302200198,
            0.301470667,
            0.300741106,
            0.300011575,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.299465835,
            0.298736274,
            0.298006743,
            0.297277182,
            0.296547621,
            0.29581809,
            0.29508853,
            0.294358999,
            0.293629438,
            0.292899877,
            0.292170346,
            0.291440785,
            0.290711224,
            0.289981693,
            0.289252132,
            0.288522601,
            0.287203282,
            0.285501003,
            0.283798695,
            0.282096416,
            0.280394137,
            0.278691858,
            0.276989579,
            0.2752873,
            0.273585021,
            0.271882743,
            0.270180464,
            0.268478155,
            0.266775876,
            0.265073597,
            0.263371319,
            0.26166904,
            0.260083556,
            0.258624464,
            0.257165343,
            0.255706251,
            0.254247159,
            0.252788037,
            0.251328945,
            0.249869838,
            0.248410732,
            0.24695164,
            0.245492533,
            0.244033426,
            0.242574319,
            0.241115227,
            0.239656121,
            0.238197014,
            0.236737907,
            0.235278815,
            0.233819723,
            0.232360616,
            0.230901524,
            0.229442418,
            0.227983326,
            0.226524219,
            0.225065127,
            0.22360602,
            0.222146928,
            0.220687822,
            0.21922873,
            0.217769623,
            0.216310531,
            0.214851424,
            0.213558912,
            0.212829366,
            0.21209982,
            0.211370274,
            0.210640728,
            0.209911183,
            0.209181637,
            0.208452091,
            0.207722545,
            0.206992999,
            0.206263453,
            0.205533907,
            0.204804361,
            0.204074815,
            0.203345269,
            0.202615723,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201133654,
            0.200160921,
            0.199188173,
            0.19821544,
            0.197242707,
            0.196269974,
            0.195297241,
            0.194324493,
            0.193351761,
            0.192379028,
            0.191406295,
            0.190433547,
            0.189460814,
            0.188488081,
            0.187515348,
            0.1865426,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186021775,
            0.185292214,
            0.184562668,
            0.183833122,
            0.183103576,
            0.18237403,
            0.181644469,
            0.180914924,
            0.180185378,
            0.179455832,
            0.178726271,
            0.177996725,
            0.177267179,
            0.176537633,
            0.175808072,
            0.175078526,
            0.174188137,
            0.17272903,
            0.171269938,
            0.169810832,
            0.16835174,
            0.166892633,
            0.165433541,
            0.163974434,
            0.162515342,
            0.161056235,
            0.159597144,
            0.158138037,
            0.156678945,
            0.155219838,
            0.153760746,
            0.152301639,
            0.15091148,
            0.150181934,
            0.149452373,
            0.148722827,
            0.147993281,
            0.147263736,
            0.146534175,
            0.145804629,
            0.145075083,
            0.144345537,
            0.143615991,
            0.14288643,
            0.142156884,
            0.141427338,
            0.140697777,
            0.139968231,
            0.139238685,
            0.138273612,
            0.137300879,
            0.136328146,
            0.135355413,
            0.13438268,
            0.133409947,
            0.132437214,
            0.131464481,
            0.130491748,
            0.129519016,
            0.128546283,
            0.12757355,
            0.126600817,
            0.125628084,
            0.124655351,
            0.123682618,
            0.122300118,
            0.120841011,
            0.11938192,
            0.11792282,
            0.116463721,
            0.115004621,
            0.113545522,
            0.112086423,
            0.110627323,
            0.109168224,
            0.107709125,
            0.106250025,
            0.104790926,
            0.103331827,
            0.101872727,
            0.100413628,
            0.0982575268,
            0.095825702,
            0.0933938622,
            0.0909620374,
            0.0885302052,
            0.0860983729,
            0.0836665407,
            0.0812347084,
            0.0788028762,
            0.0763710439,
            0.0739392117,
            0.0715073794,
            0.0690755472,
            0.0666437149,
            0.0642118827,
            0.0617800504,
            0.0599226654,
            0.058463566,
            0.0570044704,
            0.055545371,
            0.0540862717,
            0.0526271723,
            0.051168073,
            0.0497089736,
            0.0482498743,
            0.0467907749,
            0.0453316756,
            0.0438725762,
            0.0424134769,
            0.0409543775,
            0.0394952781,
            0.0380361788,
            0.0369160064,
            0.0361864567,
            0.035456907,
            0.0347273573,
            0.0339978077,
            0.033268258,
            0.0325387083,
            0.0318091586,
            0.0310796089,
            0.0303500593,
            0.0296205096,
            0.0288909599,
            0.0281614102,
            0.0274318606,
            0.0267023109,
            0.0259727612,
            0.0252432115,
            0.0245136619,
            0.0237841122,
            0.0230545625,
            0.0223250128,
            0.0215954632,
            0.0208659135,
            0.0201363638,
            0.0194068141,
            0.0186772645,
            0.0179477148,
            0.0172181651,
            0.0164886154,
            0.0157590657,
            0.015029517,
            0.0142999673,
            0.0135704177,
            0.0128408689,
            0.0121113192,
            0.0113817696,
            0.0106522199,
            0.0099226702,
            0.00919312052,
            0.00846357085,
            0.00773402117,
            0.00700447196,
            0.00627492229,
            0.00554537214,
            0.0048158234,
            0.00408627372,
            0.00335672405,
            0.00262717437,
            0.00187656155,
            0.000903828768,
            -6.89039007e-5,
            -0.0010416368,
            -0.0020143697,
            -0.00298710261,
            -0.00395983504,
            -0.00493256794,
            -0.00590530038,
            -0.00687803328,
            -0.00785076618,
            -0.00882349908,
            -0.00979623199,
            -0.0107689649,
            -0.0117416978,
            -0.0127144307,
            -0.0136871636,
            -0.015127114,
            -0.0165862124,
            -0.0180453118,
            -0.0195044111,
            -0.0209635105,
            -0.0224226099,
            -0.0238817092,
            -0.0253408086,
            -0.026799906,
            -0.0282590054,
            -0.0297181047,
            -0.0311772041,
            -0.0326363035,
            -0.0340954028,
            -0.0355545022,
            -0.0370136015,
            -0.0384727009,
            -0.0399318002,
            -0.0413908996,
            -0.0428499989,
            -0.0443090983,
            -0.0457681976,
            -0.047227297,
            -0.0486863963,
            -0.050145492,
            -0.0516045913,
            -0.0530636907,
            -0.05452279,
            -0.0559818894,
            -0.0574409887,
            -0.0589000881,
            -0.0603591874,
            -0.0614736192,
            -0.0624463521,
            -0.0634190813,
            -0.0643918142,
            -0.0653645471,
            -0.06633728,
            -0.0673100129,
            -0.0682827458,
            -0.0692554787,
            -0.0702282116,
            -0.0712009445,
            -0.0721736774,
            -0.0731464103,
            -0.0741191432,
            -0.0750918761,
            -0.076064609,
            -0.0768956468,
            -0.0776251927,
            -0.0783547461,
            -0.0790842921,
            -0.0798138455,
            -0.0805433914,
            -0.0812729448,
            -0.0820024908,
            -0.0827320442,
            -0.0834615901,
            -0.0841911435,
            -0.0849206895,
            -0.0856502429,
            -0.0863797888,
            -0.0871093422,
            -0.0878388882,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0884765238,
            -0.0892060772,
            -0.0899356231,
            -0.0906651765,
            -0.0913947225,
            -0.0921242759,
            -0.0928538218,
            -0.0935833752,
            -0.0943129212,
            -0.0950424746,
            -0.0957720205,
            -0.0965015739,
            -0.0972311199,
            -0.0979606733,
            -0.0986902192,
            -0.0994197726,
            -0.10029868,
            -0.10175778,
            -0.103216879,
            -0.104675978,
            -0.10613507,
            -0.107594177,
            -0.109053269,
            -0.110512376,
            -0.111971468,
            -0.113430567,
            -0.114889666,
            -0.116348766,
            -0.117807865,
            -0.119266964,
            -0.120726064,
            -0.122185163,
            -0.123663411,
            -0.125365704,
            -0.127067983,
            -0.128770262,
            -0.130472556,
            -0.132174835,
            -0.133877113,
            -0.135579407,
            -0.137281686,
            -0.138983965,
            -0.140686259,
            -0.142388538,
            -0.144090831,
            -0.14579311,
            -0.147495389,
            -0.149197668,
            -0.150899962,
            -0.151675463,
            -0.152405009,
            -0.15313457,
            -0.153864115,
            -0.154593661,
            -0.155323207,
            -0.156052768,
            -0.156782314,
            -0.15751186,
            -0.158241406,
            -0.158970967,
            -0.159700513,
            -0.160430059,
            -0.161159605,
            -0.161889166,
            -0.162618712,
            -0.163348258,
            -0.164077803,
            -0.164807364,
            -0.16553691,
            -0.166266456,
            -0.166996002,
            -0.167725563,
            -0.168455109,
            -0.169184655,
            -0.169914201,
            -0.170643762,
            -0.171373308,
            -0.172102854,
            -0.1728324,
            -0.17356196,
            -0.174291506,
            -0.175021052,
            -0.175750598,
            -0.176480159,
            -0.177209705,
            -0.177939251,
            -0.178668797,
            -0.179398358,
            -0.180127904,
            -0.18085745,
            -0.181586996,
            -0.182316542,
            -0.183046103,
            -0.183775648,
            -0.184505194,
            -0.18523474,
            -0.185964301,
            -0.186693847,
            -0.187423393,
            -0.188152939,
            -0.1888825,
            -0.189612046,
            -0.190341592,
            -0.191071138,
            -0.191800699,
            -0.192530245,
            -0.193259791,
            -0.193989336,
            -0.194718897,
            -0.195448443,
            -0.196177989,
            -0.196907535,
            -0.197637096,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198353231,
            -0.199325964,
            -0.200298697,
            -0.20127143,
            -0.202244163,
            -0.203216895,
            -0.204189628,
            -0.205162361,
            -0.206135094,
            -0.207107827,
            -0.20808056,
            -0.209053293,
            -0.210026026,
            -0.210998759,
            -0.211971492,
            -0.212944224,
            -0.213869095,
            -0.214598641,
            -0.215328187,
            -0.216057733,
            -0.216787294,
            -0.21751684,
            -0.218246385,
            -0.218975931,
            -0.219705492,
            -0.220435038,
            -0.221164584,
            -0.22189413,
            -0.222623691,
            -0.223353237,
            -0.224082783,
            -0.224812329,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.22489275,
            -0.224163204,
            -0.223433658,
            -0.222704113,
            -0.221974552,
            -0.221245006,
            -0.22051546,
            -0.219785914,
            -0.219056353,
            -0.218326807,
            -0.217597261,
            -0.216867715,
            -0.216138154,
            -0.215408608,
            -0.214679062,
            -0.213949516,
            -0.212545946,
            -0.210843667,
            -0.209141374,
            -0.207439095,
            -0.205736816,
            -0.204034537,
            -0.202332243,
            -0.200629964,
            -0.198927686,
            -0.197225407,
            -0.195523113,
            -0.193820834,
            -0.192118555,
            -0.190416276,
            -0.188713998,
            -0.187011704,
            -0.185860902,
            -0.185131341,
            -0.184401795,
            -0.183672249,
            -0.182942703,
            -0.182213143,
            -0.181483597,
            -0.180754051,
            -0.180024505,
            -0.179294944,
            -0.178565398,
            -0.177835852,
            -0.177106306,
            -0.176376745,
            -0.175647199,
            -0.174917653,
            -0.173866406,
            -0.172407314,
            -0.170948207,
            -0.169489115,
            -0.168030009,
            -0.166570917,
            -0.16511181,
            -0.163652718,
            -0.162193611,
            -0.160734519,
            -0.159275413,
            -0.157816321,
            -0.156357229,
            -0.154898122,
            -0.153439015,
            -0.151979923,
            -0.150444224,
            -0.148741946,
            -0.147039667,
            -0.145337373,
            -0.143635094,
            -0.141932815,
            -0.140230522,
            -0.138528243,
            -0.136825949,
            -0.13512367,
            -0.133421391,
            -0.131719112,
            -0.130016819,
            -0.12831454,
            -0.126612246,
            -0.124909967,
            -0.123391509,
            -0.122661956,
            -0.121932402,
            -0.121202849,
            -0.120473303,
            -0.119743749,
            -0.119014196,
            -0.118284643,
            -0.117555097,
            -0.116825543,
            -0.11609599,
            -0.115366444,
            -0.114636891,
            -0.113907337,
            -0.113177784,
            -0.112448238,
            -0.111718684,
            -0.110989138,
            -0.110259585,
            -0.109530039,
            -0.108800493,
            -0.108070947,
            -0.107341394,
            -0.106611848,
            -0.105882302,
            -0.105152756,
            -0.10442321,
            -0.103693657,
            -0.102964111,
            -0.102234565,
            -0.101505011,
            -0.100775465,
            -0.100045919,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.101183325,
            -0.102642424,
            -0.104101524,
            -0.105560623,
            -0.107019722,
            -0.108478822,
            -0.109937921,
            -0.111397021,
            -0.11285612,
            -0.114315219,
            -0.115774319,
            -0.117233418,
            -0.118692517,
            -0.120151617,
            -0.121610716,
            -0.123069815,
            -0.12469551,
            -0.126397789,
            -0.128100067,
            -0.129802361,
            -0.13150464,
            -0.133206934,
            -0.134909213,
            -0.136611491,
            -0.138313785,
            -0.140016064,
            -0.141718343,
            -0.143420637,
            -0.145122916,
            -0.146825194,
            -0.148527488,
            -0.150229767,
            -0.151796103,
            -0.153255194,
            -0.154714301,
            -0.156173393,
            -0.1576325,
            -0.159091592,
            -0.160550699,
            -0.162009791,
            -0.163468897,
            -0.164927989,
            -0.166387096,
            -0.167846188,
            -0.169305295,
            -0.170764387,
            -0.172223493,
            -0.173682585,
            -0.174825743,
            -0.175555289,
            -0.176284835,
            -0.177014396,
            -0.177743942,
            -0.178473487,
            -0.179203033,
            -0.179932594,
            -0.18066214,
            -0.181391686,
            -0.182121232,
            -0.182850778,
            -0.183580339,
            -0.184309885,
            -0.185039431,
            -0.185768992,
            -0.186797246,
            -0.188499525,
            -0.190201819,
            -0.191904098,
            -0.193606377,
            -0.195308656,
            -0.197010934,
            -0.198713228,
            -0.200415507,
            -0.202117786,
            -0.203820065,
            -0.205522358,
            -0.207224637,
            -0.208926916,
            -0.210629195,
            -0.212331489,
            -0.213857606,
            -0.214587152,
            -0.215316698,
            -0.216046244,
            -0.216775805,
            -0.217505351,
            -0.218234897,
            -0.218964443,
            -0.219694003,
            -0.220423549,
            -0.221153095,
            -0.221882641,
            -0.222612202,
            -0.223341748,
            -0.224071294,
            -0.22480084,
            -0.225530401,
            -0.226259947,
            -0.226989493,
            -0.227719039,
            -0.2284486,
            -0.229178146,
            -0.229907691,
            -0.230637237,
            -0.231366783,
            -0.232096344,
            -0.23282589,
            -0.233555436,
            -0.234284997,
            -0.235014543,
            -0.235744089,
            -0.236473635,
            -0.237203181,
            -0.237932742,
            -0.238662288,
            -0.239391834,
            -0.240121379,
            -0.24085094,
            -0.241580486,
            -0.242310032,
            -0.243039578,
            -0.243769139,
            -0.244498685,
            -0.245228231,
            -0.245957777,
            -0.246687338,
            -0.247416884,
            -0.24814643,
            -0.248875976,
            -0.249605536,
            -0.250335097,
            -0.251064628,
            -0.251794189,
            -0.25252375,
            -0.253253281,
            -0.253982842,
            -0.254712403,
            -0.255441934,
            -0.256171495,
            -0.256901056,
            -0.257630587,
            -0.258360147,
            -0.259089708,
            -0.259819239,
            -0.2605488,
            -0.261443019,
            -0.262415767,
            -0.263388485,
            -0.264361233,
            -0.265333951,
            -0.266306669,
            -0.267279416,
            -0.268252134,
            -0.269224882,
            -0.2701976,
            -0.271170348,
            -0.272143066,
            -0.273115814,
            -0.274088532,
            -0.27506125,
            -0.276033998,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276056975,
            -0.275084227,
            -0.274111509,
            -0.273138791,
            -0.272166044,
            -0.271193326,
            -0.270220578,
            -0.26924786,
            -0.268275112,
            -0.267302394,
            -0.266329646,
            -0.265356928,
            -0.26438421,
            -0.263411462,
            -0.262438744,
            -0.261465997,
            -0.260566026,
            -0.259836495,
            -0.259106934,
            -0.258377373,
            -0.257647842,
            -0.256918281,
            -0.25618872,
            -0.255459189,
            -0.254729629,
            -0.254000068,
            -0.253270537,
            -0.252540976,
            -0.251811415,
            -0.251081854,
            -0.250352323,
            -0.249622762,
            -0.248893216,
            -0.24816367,
            -0.247434109,
            -0.246704563,
            -0.245975018,
            -0.245245472,
            -0.244515911,
            -0.243786365,
            -0.243056819,
            -0.242327273,
            -0.241597712,
            -0.240868166,
            -0.24013862,
            -0.239409074,
            -0.238679513,
            -0.237949967,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.236858517,
            -0.236128971,
            -0.235399425,
            -0.234669864,
            -0.233940318,
            -0.233210772,
            -0.232481226,
            -0.231751665,
            -0.23102212,
            -0.230292574,
            -0.229563028,
            -0.228833467,
            -0.228103921,
            -0.227374375,
            -0.226644829,
            -0.225915268,
            -0.225185722,
            -0.224456176,
            -0.22372663,
            -0.222997069,
            -0.222267523,
            -0.221537977,
            -0.220808432,
            -0.220078871,
            -0.219349325,
            -0.218619779,
            -0.217890233,
            -0.217160672,
            -0.216431126,
            -0.21570158,
            -0.214972034,
            -0.214242488,
            -0.213229537,
            -0.211527258,
            -0.209824979,
            -0.208122686,
            -0.206420407,
            -0.204718128,
            -0.203015849,
            -0.201313555,
            -0.199611276,
            -0.197908998,
            -0.196206719,
            -0.194504425,
            -0.192802146,
            -0.191099867,
            -0.189397588,
            -0.187695295,
            -0.186033234,
            -0.184574127,
            -0.183115035,
            -0.181655928,
            -0.180196837,
            -0.17873773,
            -0.177278638,
            -0.175819531,
            -0.174360439,
            -0.172901332,
            -0.17144224,
            -0.169983134,
            -0.168524042,
            -0.167064935,
            -0.165605843,
            -0.164146736,
            -0.162716359,
            -0.161986813,
            -0.161257267,
            -0.160527721,
            -0.159798175,
            -0.159068614,
            -0.158339068,
            -0.157609522,
            -0.156879976,
            -0.156150416,
            -0.15542087,
            -0.154691324,
            -0.153961778,
            -0.153232217,
            -0.152502671,
            -0.151773125,
            -0.151043579,
            -0.149425536,
            -0.147723258,
            -0.146020979,
            -0.144318685,
            -0.142616406,
            -0.140914112,
            -0.139211833,
            -0.137509555,
            -0.135807261,
            -0.134104982,
            -0.132402703,
            -0.130700409,
            -0.128998131,
            -0.127295852,
            -0.125593558,
            -0.123891279,
            -0.121806026,
            -0.11961738,
            -0.117428735,
            -0.115240082,
            -0.113051437,
            -0.110862784,
            -0.108674139,
            -0.106485486,
            -0.104296841,
            -0.102108188,
            -0.0999195427,
            -0.0977308899,
            -0.0955422446,
            -0.0933535993,
            -0.0911649466,
            -0.0889762938,
            -0.0866268054,
            -0.0841949731,
            -0.0817631409,
            -0.0793313086,
            -0.0768994763,
            -0.0744676441,
            -0.0720358118,
            -0.0696039796,
            -0.0671721473,
            -0.0647403151,
            -0.0623084828,
            -0.0598766506,
            -0.0574448183,
            -0.0550129861,
            -0.0525811575,
            -0.0501493253,
            -0.0482383259,
            -0.0467792265,
            -0.0453201272,
            -0.0438610278,
            -0.0424019285,
            -0.0409428291,
            -0.0394837297,
            -0.0380246304,
            -0.036565531,
            -0.0351064317,
            -0.0336473323,
            -0.0321882367,
            -0.0307291355,
            -0.0292700361,
            -0.0278109368,
            -0.0263518374,
            -0.0247931667,
            -0.0230908841,
            -0.0213886015,
            -0.0196863208,
            -0.0179840382,
            -0.0162817556,
            -0.0145794731,
            -0.0128771905,
            -0.0111749079,
            -0.00947262533,
            -0.00777034275,
            -0.00606806204,
            -0.00436577946,
            -0.00266349688,
            -0.000961214304,
            0.000741068274,
            0.00237441692,
            0.00383351604,
            0.00529261539,
            0.00675171427,
            0.00821081363,
            0.00966991298,
            0.0111290123,
            0.0125881108,
            0.0140472101,
            0.0155063095,
            0.0169654079,
            0.0184245072,
            0.0198836066,
            0.0213427059,
            0.0228018053,
            0.0242609046,
            0.025720004,
            0.0271791033,
            0.0286382027,
            0.030097302,
            0.0315564014,
            0.0330155008,
            0.0344746001,
            0.0359336957,
            0.0373927951,
            0.0388518944,
            0.0403109938,
            0.0417700931,
            0.0432291925,
            0.0446882918,
            0.0461473912,
            0.0476064906,
            0.0490962267,
            0.0515280589,
            0.0539598912,
            0.0563917235,
            0.0588235557,
            0.061255388,
            0.0636872202,
            0.0661190525,
            0.0685508847,
            0.070982717,
            0.0734145492,
            0.0758463815,
            0.0782782137,
            0.0807100385,
            0.0831418782,
            0.0855737031,
            0.0880055428,
            0.0902171656,
            0.092405811,
            0.0945944637,
            0.0967831165,
            0.0989717618,
            0.101160407,
            0.10334906,
            0.105537705,
            0.107726358,
            0.109915003,
            0.112103656,
            0.114292301,
            0.116480947,
            0.118669599,
            0.120858252,
            0.123046897,
            0.124856412,
            0.126558691,
            0.12826097,
            0.129963264,
            0.131665543,
            0.133367822,
            0.1350701,
            0.136772394,
            0.138474673,
            0.140176952,
            0.141879231,
            0.14358151,
            0.145283803,
            0.146986082,
            0.148688361,
            0.15039064,
            0.151933998,
            0.15339309,
            0.154852197,
            0.156311288,
            0.157770395,
            0.159229487,
            0.160688594,
            0.162147686,
            0.163606793,
            0.165065885,
            0.166524991,
            0.167984083,
            0.16944319,
            0.170902282,
            0.172361389,
            0.173820481,
            0.174894705,
            0.175624251,
            0.176353797,
            0.177083358,
            0.177812904,
            0.17854245,
            0.179271996,
            0.180001557,
            0.180731103,
            0.181460649,
            0.182190195,
            0.182919756,
            0.183649302,
            0.184378847,
            0.185108393,
            0.185837954,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.1865426,
            0.187515348,
            0.188488081,
            0.189460814,
            0.190433547,
            0.191406295,
            0.192379028,
            0.193351761,
            0.194324493,
            0.195297241,
            0.196269974,
            0.197242707,
            0.19821544,
            0.199188173,
            0.200160921,
            0.201133654,
            0.202179149,
            0.203638241,
            0.205097347,
            0.206556439,
            0.208015531,
            0.209474623,
            0.21093373,
            0.212392822,
            0.213851914,
            0.215311006,
            0.216770113,
            0.218229204,
            0.219688296,
            0.221147388,
            0.22260648,
            0.224065587,
            0.225524679,
            0.226983786,
            0.228442878,
            0.229901969,
            0.231361076,
            0.232820168,
            0.234279275,
            0.235738367,
            0.237197474,
            0.238656566,
            0.240115672,
            0.241574764,
            0.243033871,
            0.244492963,
            0.24595207,
            0.247411162,
            0.248870268,
            0.249674499,
            0.25040406,
            0.251133591,
            0.251863152,
            0.252592713,
            0.253322273,
            0.254051805,
            0.254781365,
            0.255510926,
            0.256240487,
            0.256970018,
            0.257699579,
            0.25842914,
            0.259158701,
            0.259888232,
            0.260617793,
            0.261534989,
            0.262507737,
            0.263480484,
            0.264453202,
            0.26542595,
            0.266398698,
            0.267371416,
            0.268344164,
            0.269316882,
            0.27028963,
            0.271262378,
            0.272235096,
            0.273207843,
            0.274180591,
            0.275153309,
            0.276126057,
            0.276941776,
            0.277671307,
            0.278400868,
            0.279130399,
            0.27985996,
            0.280589491,
            0.281319052,
            0.282048583,
            0.282778144,
            0.283507675,
            0.284237236,
            0.284966767,
            0.285696328,
            0.286425859,
            0.28715542,
            0.287884951,
            0.288614511,
            0.289344043,
            0.290073603,
            0.290803164,
            0.291532695,
            0.292262256,
            0.292991787,
            0.293721348,
            0.294450909,
            0.29518044,
            0.295910001,
            0.296639562,
            0.297369093,
            0.298098654,
            0.298828185,
            0.299557745,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.299896657,
            0.299167126,
            0.298437566,
            0.297708035,
            0.296978474,
            0.296248913,
            0.295519382,
            0.294789821,
            0.29406026,
            0.293330729,
            0.292601168,
            0.291871637,
            0.291142076,
            0.290412515,
            0.289682984,
            0.288953424,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.287678152,
            0.286948621,
            0.28621906,
            0.285489529,
            0.284759969,
            0.284030437,
            0.283300877,
            0.282571346,
            0.281841785,
            0.281112254,
            0.280382693,
            0.279653162,
            0.278923601,
            0.27819407,
            0.277464509,
            0.276734978,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276217967,
            0.275245219,
            0.274272501,
            0.273299754,
            0.272327006,
            0.271354288,
            0.27038154,
            0.269408822,
            0.268436074,
            0.267463326,
            0.266490608,
            0.265517861,
            0.264545113,
            0.263572395,
            0.262599647,
            0.261626929,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.261642247,
            0.262614965,
            0.263587713,
            0.264560431,
            0.265533179,
            0.266505927,
            0.267478645,
            0.268451393,
            0.26942414,
            0.270396858,
            0.271369606,
            0.272342324,
            0.273315072,
            0.27428782,
            0.275260538,
            0.276233286,
            0.277022183,
            0.277751744,
            0.278481275,
            0.279210836,
            0.279940367,
            0.280669928,
            0.281399459,
            0.282129019,
            0.282858551,
            0.283588111,
            0.284317642,
            0.285047203,
            0.285776734,
            0.286506295,
            0.287235826,
            0.287965387,
            0.28915447,
            0.290613592,
            0.292072684,
            0.293531775,
            0.294990867,
            0.296449989,
            0.297909081,
            0.299368173,
            0.300827265,
            0.302286386,
            0.303745478,
            0.30520457,
            0.306663662,
            0.308122784,
            0.309581876,
            0.311040968,
            0.312132418,
            0.312861979,
            0.31359151,
            0.314321071,
            0.315050632,
            0.315780163,
            0.316509724,
            0.317239285,
            0.317968816,
            0.318698376,
            0.319427907,
            0.320157468,
            0.320887029,
            0.32161656,
            0.322346121,
            0.323075682,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323345661,
            0.3226161,
            0.321886569,
            0.321157008,
            0.320427448,
            0.319697917,
            0.318968356,
            0.318238825,
            0.317509264,
            0.316779703,
            0.316050172,
            0.315320611,
            0.31459105,
            0.313861519,
            0.313131958,
            0.312402427,
            0.311672866,
            0.310943305,
            0.310213774,
            0.309484214,
            0.308754653,
            0.308025122,
            0.307295561,
            0.30656603,
            0.305836469,
            0.305106908,
            0.304377377,
            0.303647816,
            0.302918255,
            0.302188724,
            0.301459163,
            0.300729632
          ],
          [
            0.276470721,
            0.275497973,
            0.274525255,
            0.273552507,
            0.272579789,
            0.271607041,
            0.270634294,
            0.269661576,
            0.268688828,
            0.26771608,
            0.266743362,
            0.265770614,
            0.264797896,
            0.263825148,
            0.262852401,
            0.261879683,
            0.260906935,
            0.260146737,
            0.259417206,
            0.258687645,
            0.257958084,
            0.257228523,
            0.256498992,
            0.255769432,
            0.255039871,
            0.25431031,
            0.253580779,
            0.252851218,
            0.252121657,
            0.251392096,
            0.250662565,
            0.249933004,
            0.249203444,
            0.248473898,
            0.247744352,
            0.247014791,
            0.246285245,
            0.245555699,
            0.244826153,
            0.244096592,
            0.243367046,
            0.2426375,
            0.241907954,
            0.241178393,
            0.240448847,
            0.239719301,
            0.238989756,
            0.23826021,
            0.237530649,
            0.236801103,
            0.236071557,
            0.235342011,
            0.23461245,
            0.233882904,
            0.233153358,
            0.232423812,
            0.231694251,
            0.230964705,
            0.230235159,
            0.229505613,
            0.228776053,
            0.228046507,
            0.227316961,
            0.226587415,
            0.225857854,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225668296,
            0.226397842,
            0.227127388,
            0.227856934,
            0.228586495,
            0.229316041,
            0.230045587,
            0.230775133,
            0.231504694,
            0.23223424,
            0.232963786,
            0.233693331,
            0.234422892,
            0.235152438,
            0.235881984,
            0.23661153,
            0.237341091,
            0.238070637,
            0.238800183,
            0.239529729,
            0.24025929,
            0.240988836,
            0.241718382,
            0.242447928,
            0.243177488,
            0.243907034,
            0.24463658,
            0.245366126,
            0.246095687,
            0.246825233,
            0.247554779,
            0.248284325,
            0.249013871,
            0.249743432,
            0.250472993,
            0.251202524,
            0.251932085,
            0.252661645,
            0.253391206,
            0.254120737,
            0.254850298,
            0.255579859,
            0.25630942,
            0.257038951,
            0.257768512,
            0.258498073,
            0.259227633,
            0.259957165,
            0.260686725,
            0.262258798,
            0.263961077,
            0.265663356,
            0.267365664,
            0.269067943,
            0.270770222,
            0.272472501,
            0.27417478,
            0.275877059,
            0.277579337,
            0.279281616,
            0.280983925,
            0.282686204,
            0.284388483,
            0.286090761,
            0.28779304,
            0.288775355,
            0.289504886,
            0.290234447,
            0.290964007,
            0.291693538,
            0.292423099,
            0.29315263,
            0.293882191,
            0.294611752,
            0.295341283,
            0.296070844,
            0.296800405,
            0.297529936,
            0.298259497,
            0.298989058,
            0.299718589,
            0.300448149,
            0.30117768,
            0.301907241,
            0.302636802,
            0.303366333,
            0.304095894,
            0.304825425,
            0.305554986,
            0.306284547,
            0.307014078,
            0.307743639,
            0.3084732,
            0.309202731,
            0.309932292,
            0.310661823,
            0.311391383,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.31159243,
            0.310862899,
            0.310133338,
            0.309403807,
            0.308674246,
            0.307944685,
            0.307215154,
            0.306485593,
            0.305756032,
            0.305026501,
            0.304296941,
            0.30356741,
            0.302837849,
            0.302108288,
            0.301378757,
            0.300649196,
            0.299919635,
            0.299190104,
            0.298460543,
            0.297731012,
            0.297001451,
            0.29627189,
            0.295542359,
            0.294812799,
            0.294083238,
            0.293353707,
            0.292624146,
            0.291894615,
            0.291165054,
            0.290435493,
            0.289705962,
            0.288976401,
            0.28824687,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.28770113,
            0.286971599,
            0.286242038,
            0.285512507,
            0.284782946,
            0.284053415,
            0.283323854,
            0.282594323,
            0.281864762,
            0.281135231,
            0.28040567,
            0.279676139,
            0.278946579,
            0.278217047,
            0.277487487,
            0.276757956,
            0.275438637,
            0.273736328,
            0.272034049,
            0.27033174,
            0.268629462,
            0.266927183,
            0.265224874,
            0.263522595,
            0.261820316,
            0.260118008,
            0.258415729,
            0.25671345,
            0.255011141,
            0.253308862,
            0.251606554,
            0.249904275,
            0.248318791,
            0.246859699,
            0.245400593,
            0.243941501,
            0.242482394,
            0.241023302,
            0.239564195,
            0.238105103,
            0.236645997,
            0.235186905,
            0.233727798,
            0.232268706,
            0.230809599,
            0.229350507,
            0.227891415,
            0.226432309,
            0.224973217,
            0.22351411,
            0.222055018,
            0.220595926,
            0.219136834,
            0.217677727,
            0.216218635,
            0.214759544,
            0.213300452,
            0.211841345,
            0.210382253,
            0.208923161,
            0.207464069,
            0.206004977,
            0.20454587,
            0.203086779,
            0.201738745,
            0.200765997,
            0.199793264,
            0.198820531,
            0.197847798,
            0.196875066,
            0.195902318,
            0.194929585,
            0.193956852,
            0.192984119,
            0.192011371,
            0.191038638,
            0.190065905,
            0.189093173,
            0.188120425,
            0.187147692,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186021775,
            0.185292214,
            0.184562668,
            0.183833122,
            0.183103576,
            0.18237403,
            0.181644469,
            0.180914924,
            0.180185378,
            0.179455832,
            0.178726271,
            0.177996725,
            0.177267179,
            0.176537633,
            0.175808072,
            0.175078526,
            0.17434898,
            0.173619434,
            0.172889888,
            0.172160342,
            0.171430796,
            0.17070125,
            0.169971704,
            0.169242159,
            0.168512613,
            0.167783067,
            0.167053521,
            0.166323975,
            0.165594429,
            0.164864883,
            0.164135337,
            0.163405791,
            0.162676245,
            0.161946684,
            0.161217138,
            0.160487577,
            0.159758031,
            0.159028471,
            0.158298925,
            0.157569364,
            0.156839818,
            0.156110257,
            0.155380711,
            0.154651165,
            0.153921604,
            0.153192043,
            0.152462497,
            0.151732951,
            0.151003391,
            0.150273845,
            0.149544299,
            0.148814738,
            0.148085192,
            0.147355646,
            0.1466261,
            0.145896539,
            0.145166993,
            0.144437447,
            0.143707901,
            0.14297834,
            0.142248794,
            0.141519248,
            0.140789703,
            0.140060142,
            0.139330596,
            0.137781501,
            0.136079222,
            0.134376943,
            0.132674649,
            0.130972371,
            0.129270092,
            0.127567813,
            0.125865519,
            0.12416324,
            0.122460961,
            0.120758675,
            0.119056396,
            0.11735411,
            0.115651831,
            0.113949552,
            0.112247266,
            0.110196486,
            0.108007833,
            0.105819188,
            0.103630535,
            0.10144189,
            0.0992532372,
            0.0970645919,
            0.0948759466,
            0.0926872939,
            0.0904986411,
            0.0883099958,
            0.0861213505,
            0.0839326978,
            0.0817440525,
            0.0795554072,
            0.0773667544,
            0.075465329,
            0.0737630427,
            0.0720607638,
            0.070358485,
            0.0686561987,
            0.0669539198,
            0.0652516335,
            0.0635493547,
            0.0618470684,
            0.0601447895,
            0.0584425032,
            0.0567402244,
            0.0550379381,
            0.0533356592,
            0.0516333729,
            0.0499310941,
            0.0486807115,
            0.0479511619,
            0.0472216122,
            0.0464920625,
            0.0457625128,
            0.0450329632,
            0.0443034135,
            0.0435738638,
            0.0428443141,
            0.0421147645,
            0.0413852148,
            0.0406556651,
            0.0399261154,
            0.0391965657,
            0.0384670161,
            0.0377374664,
            0.0370079167,
            0.036278367,
            0.0355488174,
            0.0348192677,
            0.034089718,
            0.0333601683,
            0.0326306187,
            0.031901069,
            0.0311715193,
            0.0304419696,
            0.02971242,
            0.0289828703,
            0.0282533206,
            0.0275237709,
            0.0267942213,
            0.0260646716,
            0.0253351238,
            0.0246055741,
            0.0238760244,
            0.0231464747,
            0.0224169251,
            0.0216873754,
            0.0209578257,
            0.020228276,
            0.0194987264,
            0.0187691767,
            0.018039627,
            0.0173100773,
            0.0165805295,
            0.0158509798,
            0.0151214292,
            0.0143918796,
            0.0135780778,
            0.0118757952,
            0.0101735126,
            0.00847123004,
            0.00676894793,
            0.00506666582,
            0.00336438324,
            0.00166210067,
            -4.01819125e-5,
            -0.00174246356,
            -0.00344474614,
            -0.00514702871,
            -0.00684931129,
            -0.00855159387,
            -0.0102538764,
            -0.011956159,
            -0.0136584397,
            -0.0144262863,
            -0.015155836,
            -0.0158853866,
            -0.0166149363,
            -0.017344486,
            -0.0180740356,
            -0.0188035853,
            -0.019533135,
            -0.0202626828,
            -0.0209922325,
            -0.0217217822,
            -0.0224513318,
            -0.0231808815,
            -0.0239104312,
            -0.0246399809,
            -0.0253695305,
            -0.0267079957,
            -0.028167095,
            -0.0296261944,
            -0.0310852937,
            -0.0325443931,
            -0.0340034924,
            -0.0354625918,
            -0.0369216911,
            -0.0383807868,
            -0.0398398861,
            -0.0412989855,
            -0.0427580848,
            -0.0442171842,
            -0.0456762835,
            -0.0471353829,
            -0.0485944822,
            -0.0495365784,
            -0.050266128,
            -0.0509956777,
            -0.0517252274,
            -0.0524547771,
            -0.0531843267,
            -0.0539138764,
            -0.0546434261,
            -0.0553729758,
            -0.0561025254,
            -0.0568320751,
            -0.0575616248,
            -0.0582911745,
            -0.0590207241,
            -0.0597502738,
            -0.0604798235,
            -0.0613510683,
            -0.0623238012,
            -0.0632965341,
            -0.064269267,
            -0.0652419999,
            -0.0662147328,
            -0.0671874657,
            -0.0681601986,
            -0.0691329315,
            -0.0701056644,
            -0.0710783973,
            -0.0720511302,
            -0.0730238631,
            -0.073996596,
            -0.0749693289,
            -0.0759420618,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0767118186,
            -0.077441372,
            -0.0781709179,
            -0.0789004713,
            -0.0796300173,
            -0.0803595707,
            -0.0810891166,
            -0.08181867,
            -0.082548216,
            -0.0832777694,
            -0.0840073153,
            -0.0847368687,
            -0.0854664147,
            -0.0861959681,
            -0.086925514,
            -0.0876550674,
            -0.0885339752,
            -0.0899930671,
            -0.0914521664,
            -0.0929112658,
            -0.0943703651,
            -0.095829457,
            -0.0972885564,
            -0.0987476557,
            -0.100206748,
            -0.101665847,
            -0.103124946,
            -0.104584038,
            -0.106043138,
            -0.107502237,
            -0.108961336,
            -0.110420436,
            -0.111898676,
            -0.113600962,
            -0.115303248,
            -0.117005534,
            -0.118707821,
            -0.120410107,
            -0.122112393,
            -0.12381468,
            -0.125516966,
            -0.12721926,
            -0.128921539,
            -0.130623817,
            -0.132326111,
            -0.134028405,
            -0.135730684,
            -0.137432963,
            -0.139135256,
            -0.139910758,
            -0.140640303,
            -0.141369864,
            -0.14209941,
            -0.142828956,
            -0.143558502,
            -0.144288063,
            -0.145017609,
            -0.145747155,
            -0.146476701,
            -0.147206262,
            -0.147935808,
            -0.148665354,
            -0.1493949,
            -0.15012446,
            -0.150854006,
            -0.151583552,
            -0.152313098,
            -0.153042659,
            -0.153772205,
            -0.154501751,
            -0.155231297,
            -0.155960858,
            -0.156690404,
            -0.15741995,
            -0.158149496,
            -0.158879057,
            -0.159608603,
            -0.160338148,
            -0.161067694,
            -0.161797255,
            -0.162526801,
            -0.163256347,
            -0.163985893,
            -0.164715454,
            -0.165445,
            -0.166174546,
            -0.166904092,
            -0.167633653,
            -0.168363199,
            -0.169092745,
            -0.169822291,
            -0.170551836,
            -0.171281397,
            -0.172010943,
            -0.172740489,
            -0.173470035,
            -0.174199596,
            -0.174929142,
            -0.175658688,
            -0.176388234,
            -0.177117795,
            -0.177847341,
            -0.178576887,
            -0.179306433,
            -0.180035993,
            -0.180765539,
            -0.181495085,
            -0.182224631,
            -0.182954192,
            -0.183683738,
            -0.184413284,
            -0.18514283,
            -0.185872391,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186824054,
            -0.188526332,
            -0.190228626,
            -0.191930905,
            -0.193633184,
            -0.195335463,
            -0.197037756,
            -0.198740035,
            -0.200442314,
            -0.202144593,
            -0.203846872,
            -0.205549166,
            -0.207251444,
            -0.208953723,
            -0.210656002,
            -0.212358296,
            -0.213869095,
            -0.214598641,
            -0.215328187,
            -0.216057733,
            -0.216787294,
            -0.21751684,
            -0.218246385,
            -0.218975931,
            -0.219705492,
            -0.220435038,
            -0.221164584,
            -0.22189413,
            -0.222623691,
            -0.223353237,
            -0.224082783,
            -0.224812329,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.22489275,
            -0.224163204,
            -0.223433658,
            -0.222704113,
            -0.221974552,
            -0.221245006,
            -0.22051546,
            -0.219785914,
            -0.219056353,
            -0.218326807,
            -0.217597261,
            -0.216867715,
            -0.216138154,
            -0.215408608,
            -0.214679062,
            -0.213949516,
            -0.212545946,
            -0.210843667,
            -0.209141374,
            -0.207439095,
            -0.205736816,
            -0.204034537,
            -0.202332243,
            -0.200629964,
            -0.198927686,
            -0.197225407,
            -0.195523113,
            -0.193820834,
            -0.192118555,
            -0.190416276,
            -0.188713998,
            -0.187011704,
            -0.185860902,
            -0.185131341,
            -0.184401795,
            -0.183672249,
            -0.182942703,
            -0.182213143,
            -0.181483597,
            -0.180754051,
            -0.180024505,
            -0.179294944,
            -0.178565398,
            -0.177835852,
            -0.177106306,
            -0.176376745,
            -0.175647199,
            -0.174917653,
            -0.17354472,
            -0.171356067,
            -0.169167429,
            -0.166978776,
            -0.164790124,
            -0.162601471,
            -0.160412833,
            -0.15822418,
            -0.156035528,
            -0.153846875,
            -0.151658237,
            -0.149469584,
            -0.147280931,
            -0.145092279,
            -0.142903641,
            -0.140714988,
            -0.13890931,
            -0.137936577,
            -0.136963829,
            -0.135991096,
            -0.135018364,
            -0.134045631,
            -0.133072898,
            -0.132100165,
            -0.131127432,
            -0.130154699,
            -0.129181951,
            -0.128209218,
            -0.127236485,
            -0.126263753,
            -0.12529102,
            -0.124318287,
            -0.123391509,
            -0.122661956,
            -0.121932402,
            -0.121202849,
            -0.120473303,
            -0.119743749,
            -0.119014196,
            -0.118284643,
            -0.117555097,
            -0.116825543,
            -0.11609599,
            -0.115366444,
            -0.114636891,
            -0.113907337,
            -0.113177784,
            -0.112448238,
            -0.111718684,
            -0.110989138,
            -0.110259585,
            -0.109530039,
            -0.108800493,
            -0.108070947,
            -0.107341394,
            -0.106611848,
            -0.105882302,
            -0.105152756,
            -0.10442321,
            -0.103693657,
            -0.102964111,
            -0.102234565,
            -0.101505011,
            -0.100775465,
            -0.100045919,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.101183325,
            -0.102642424,
            -0.104101524,
            -0.105560623,
            -0.107019722,
            -0.108478822,
            -0.109937921,
            -0.111397021,
            -0.11285612,
            -0.114315219,
            -0.115774319,
            -0.117233418,
            -0.118692517,
            -0.120151617,
            -0.121610716,
            -0.123069815,
            -0.12469551,
            -0.126397789,
            -0.128100067,
            -0.129802361,
            -0.13150464,
            -0.133206934,
            -0.134909213,
            -0.136611491,
            -0.138313785,
            -0.140016064,
            -0.141718343,
            -0.143420637,
            -0.145122916,
            -0.146825194,
            -0.148527488,
            -0.150229767,
            -0.152203962,
            -0.1543926,
            -0.156581253,
            -0.158769906,
            -0.160958558,
            -0.163147196,
            -0.165335849,
            -0.167524502,
            -0.169713154,
            -0.171901792,
            -0.174090445,
            -0.176279098,
            -0.178467751,
            -0.180656388,
            -0.182845041,
            -0.185033694,
            -0.186590448,
            -0.187319994,
            -0.18804954,
            -0.188779101,
            -0.189508647,
            -0.190238193,
            -0.190967739,
            -0.191697299,
            -0.192426845,
            -0.193156391,
            -0.193885937,
            -0.194615483,
            -0.195345044,
            -0.19607459,
            -0.196804136,
            -0.197533697,
            -0.198561952,
            -0.20026423,
            -0.201966524,
            -0.203668803,
            -0.205371082,
            -0.207073361,
            -0.20877564,
            -0.210477933,
            -0.212180212,
            -0.213882491,
            -0.21558477,
            -0.217287064,
            -0.218989342,
            -0.220691621,
            -0.2223939,
            -0.224096194,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225570604,
            -0.227029711,
            -0.228488803,
            -0.22994791,
            -0.231407002,
            -0.232866108,
            -0.2343252,
            -0.235784292,
            -0.237243399,
            -0.238702506,
            -0.240161598,
            -0.24162069,
            -0.243079796,
            -0.244538888,
            -0.245997995,
            -0.247457087,
            -0.248916194,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.250386775,
            -0.252089053,
            -0.253791332,
            -0.255493641,
            -0.25719592,
            -0.258898199,
            -0.260600477,
            -0.262302756,
            -0.264005035,
            -0.265707314,
            -0.267409593,
            -0.269111872,
            -0.27081418,
            -0.272516459,
            -0.274218738,
            -0.275921017,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276056975,
            -0.275084227,
            -0.274111509,
            -0.273138791,
            -0.272166044,
            -0.271193326,
            -0.270220578,
            -0.26924786,
            -0.268275112,
            -0.267302394,
            -0.266329646,
            -0.265356928,
            -0.26438421,
            -0.263411462,
            -0.262438744,
            -0.261465997,
            -0.260566026,
            -0.259836495,
            -0.259106934,
            -0.258377373,
            -0.257647842,
            -0.256918281,
            -0.25618872,
            -0.255459189,
            -0.254729629,
            -0.254000068,
            -0.253270537,
            -0.252540976,
            -0.251811415,
            -0.251081854,
            -0.250352323,
            -0.249622762,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.248985127,
            -0.248255581,
            -0.24752602,
            -0.246796474,
            -0.246066928,
            -0.245337382,
            -0.244607836,
            -0.243878275,
            -0.243148729,
            -0.242419183,
            -0.241689637,
            -0.240960076,
            -0.240230531,
            -0.239500985,
            -0.238771439,
            -0.238041878,
            -0.237312332,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.236858517,
            -0.236128971,
            -0.235399425,
            -0.234669864,
            -0.233940318,
            -0.233210772,
            -0.232481226,
            -0.231751665,
            -0.23102212,
            -0.230292574,
            -0.229563028,
            -0.228833467,
            -0.228103921,
            -0.227374375,
            -0.226644829,
            -0.225915268,
            -0.225185722,
            -0.224456176,
            -0.22372663,
            -0.222997069,
            -0.222267523,
            -0.221537977,
            -0.220808432,
            -0.220078871,
            -0.219349325,
            -0.218619779,
            -0.217890233,
            -0.217160672,
            -0.216431126,
            -0.21570158,
            -0.214972034,
            -0.214242488,
            -0.213229537,
            -0.211527258,
            -0.209824979,
            -0.208122686,
            -0.206420407,
            -0.204718128,
            -0.203015849,
            -0.201313555,
            -0.199611276,
            -0.197908998,
            -0.196206719,
            -0.194504425,
            -0.192802146,
            -0.191099867,
            -0.189397588,
            -0.187695295,
            -0.186033234,
            -0.184574127,
            -0.183115035,
            -0.181655928,
            -0.180196837,
            -0.17873773,
            -0.177278638,
            -0.175819531,
            -0.174360439,
            -0.172901332,
            -0.17144224,
            -0.169983134,
            -0.168524042,
            -0.167064935,
            -0.165605843,
            -0.164146736,
            -0.162716359,
            -0.161986813,
            -0.161257267,
            -0.160527721,
            -0.159798175,
            -0.159068614,
            -0.158339068,
            -0.157609522,
            -0.156879976,
            -0.156150416,
            -0.15542087,
            -0.154691324,
            -0.153961778,
            -0.153232217,
            -0.152502671,
            -0.151773125,
            -0.151043579,
            -0.149425536,
            -0.147723258,
            -0.146020979,
            -0.144318685,
            -0.142616406,
            -0.140914112,
            -0.139211833,
            -0.137509555,
            -0.135807261,
            -0.134104982,
            -0.132402703,
            -0.130700409,
            -0.128998131,
            -0.127295852,
            -0.125593558,
            -0.123891279,
            -0.12238048,
            -0.120921381,
            -0.119462281,
            -0.118003182,
            -0.116544083,
            -0.115084983,
            -0.113625884,
            -0.112166785,
            -0.110707685,
            -0.109248586,
            -0.107789487,
            -0.106330387,
            -0.104871288,
            -0.103412189,
            -0.101953089,
            -0.10049399,
            -0.0983915105,
            -0.0959596783,
            -0.093527846,
            -0.0910960138,
            -0.0886641815,
            -0.0862323493,
            -0.083800517,
            -0.0813686848,
            -0.0789368525,
            -0.0765050203,
            -0.074073188,
            -0.0716413558,
            -0.0692095235,
            -0.0667776912,
            -0.0643458664,
            -0.0619140305,
            -0.060003031,
            -0.0585439317,
            -0.0570848323,
            -0.055625733,
            -0.0541666336,
            -0.0527075343,
            -0.0512484349,
            -0.0497893356,
            -0.0483302362,
            -0.0468711369,
            -0.0454120375,
            -0.0439529419,
            -0.0424938425,
            -0.0410347432,
            -0.0395756438,
            -0.0381165445,
            -0.0366574451,
            -0.0351983458,
            -0.0337392464,
            -0.0322801471,
            -0.0308210477,
            -0.0293619484,
            -0.027902849,
            -0.0264437497,
            -0.0249846503,
            -0.023525551,
            -0.0220664516,
            -0.0206073523,
            -0.0191482529,
            -0.0176891536,
            -0.0162300542,
            -0.0147709567,
            -0.0130361216,
            -0.0106042894,
            -0.00817245804,
            -0.00574062578,
            -0.00330879353,
            -0.000876961276,
            0.00155487005,
            0.00398670323,
            0.00641853362,
            0.00885036588,
            0.0112821981,
            0.0137140304,
            0.0161458626,
            0.0185776949,
            0.0210095271,
            0.0234413594,
            0.025720004,
            0.0271791033,
            0.0286382027,
            0.030097302,
            0.0315564014,
            0.0330155008,
            0.0344746001,
            0.0359336957,
            0.0373927951,
            0.0388518944,
            0.0403109938,
            0.0417700931,
            0.0432291925,
            0.0446882918,
            0.0461473912,
            0.0476064906,
            0.0490732491,
            0.0507755317,
            0.0524778143,
            0.0541800968,
            0.0558823794,
            0.057584662,
            0.0592869446,
            0.0609892271,
            0.0626915097,
            0.0643937886,
            0.0660960749,
            0.0677983537,
            0.06950064,
            0.0712029189,
            0.0729052052,
            0.074607484,
            0.0763097703,
            0.0784524605,
            0.0806411058,
            0.0828297585,
            0.0850184113,
            0.0872070566,
            0.0893957019,
            0.0915843546,
            0.0937729999,
            0.0959616527,
            0.098150298,
            0.100338951,
            0.102527596,
            0.104716241,
            0.106904894,
            0.109093547,
            0.111282192,
            0.11366041,
            0.116092242,
            0.118524075,
            0.120955907,
            0.123387739,
            0.125819564,
            0.128251404,
            0.130683228,
            0.133115068,
            0.135546893,
            0.137978733,
            0.140410557,
            0.142842397,
            0.145274222,
            0.147706062,
            0.150137886,
            0.151933998,
            0.15339309,
            0.154852197,
            0.156311288,
            0.157770395,
            0.159229487,
            0.160688594,
            0.162147686,
            0.163606793,
            0.165065885,
            0.166524991,
            0.167984083,
            0.16944319,
            0.170902282,
            0.172361389,
            0.173820481,
            0.174894705,
            0.175624251,
            0.176353797,
            0.177083358,
            0.177812904,
            0.17854245,
            0.179271996,
            0.180001557,
            0.180731103,
            0.181460649,
            0.182190195,
            0.182919756,
            0.183649302,
            0.184378847,
            0.185108393,
            0.185837954,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.1865426,
            0.187515348,
            0.188488081,
            0.189460814,
            0.190433547,
            0.191406295,
            0.192379028,
            0.193351761,
            0.194324493,
            0.195297241,
            0.196269974,
            0.197242707,
            0.19821544,
            0.199188173,
            0.200160921,
            0.201133654,
            0.202070013,
            0.202799559,
            0.203529105,
            0.204258651,
            0.204988196,
            0.205717742,
            0.206447288,
            0.207176834,
            0.20790638,
            0.208635926,
            0.209365472,
            0.210095018,
            0.210824549,
            0.21155411,
            0.212283641,
            0.213013202,
            0.213742748,
            0.214472294,
            0.21520184,
            0.215931386,
            0.216660947,
            0.217390493,
            0.218120039,
            0.218849584,
            0.21957913,
            0.220308691,
            0.221038237,
            0.221767783,
            0.222497329,
            0.22322689,
            0.223956436,
            0.224685982,
            0.225415528,
            0.226145089,
            0.226874635,
            0.227604181,
            0.228333727,
            0.229063287,
            0.229792833,
            0.230522379,
            0.231251925,
            0.231981486,
            0.232711032,
            0.233440578,
            0.234170124,
            0.234899685,
            0.235629231,
            0.236358777,
            0.237088323,
            0.237817883,
            0.238547429,
            0.239276975,
            0.240006521,
            0.240736082,
            0.241465628,
            0.242195174,
            0.24292472,
            0.243654281,
            0.244383827,
            0.245113373,
            0.245842919,
            0.246572465,
            0.247302026,
            0.248031572,
            0.248761117,
            0.249490678,
            0.250220239,
            0.25094977,
            0.251679331,
            0.252408892,
            0.253138453,
            0.253867984,
            0.254597545,
            0.255327106,
            0.256056666,
            0.256786197,
            0.257515758,
            0.258245319,
            0.25897488,
            0.259704411,
            0.260433972,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.261167347,
            0.262140095,
            0.263112813,
            0.264085561,
            0.265058309,
            0.266031027,
            0.267003775,
            0.267976522,
            0.26894924,
            0.269921988,
            0.270894706,
            0.271867454,
            0.272840202,
            0.27381292,
            0.274785668,
            0.275758415,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276455402,
            0.275482655,
            0.274509937,
            0.273537189,
            0.272564471,
            0.271591723,
            0.270618975,
            0.269646257,
            0.268673509,
            0.267700762,
            0.266728044,
            0.265755296,
            0.264782578,
            0.26380983,
            0.262837082,
            0.261864364,
            0.260891616,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260227174,
            0.259497613,
            0.258768052,
            0.258038521,
            0.25730896,
            0.256579399,
            0.255849838,
            0.255120307,
            0.254390746,
            0.253661186,
            0.252931625,
            0.252202094,
            0.251472533,
            0.250742972,
            0.250013411,
            0.249283865,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249393016,
            0.250122577,
            0.250852108,
            0.251581669,
            0.25231123,
            0.253040791,
            0.253770322,
            0.254499882,
            0.255229443,
            0.255959004,
            0.256688535,
            0.257418096,
            0.258147657,
            0.258877218,
            0.259606749,
            0.26033631,
            0.260502905,
            0.259773344,
            0.259043813,
            0.258314252,
            0.257584691,
            0.25685513,
            0.256125599,
            0.255396038,
            0.254666477,
            0.253936917,
            0.253207386,
            0.252477825,
            0.251748264,
            0.251018703,
            0.250289172,
            0.249559611,
            0.24883005,
            0.248100504,
            0.247370958,
            0.246641412,
            0.245911852,
            0.245182306,
            0.24445276,
            0.243723214,
            0.242993653,
            0.242264107,
            0.241534561,
            0.240805015,
            0.240075454,
            0.239345908,
            0.238616362,
            0.237886816,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237898305,
            0.238627851,
            0.239357397,
            0.240086943,
            0.240816504,
            0.24154605,
            0.242275596,
            0.243005142,
            0.243734702,
            0.244464248,
            0.245193794,
            0.24592334,
            0.246652901,
            0.247382447,
            0.248111993,
            0.248841539,
            0.2495711,
            0.250300646,
            0.251030207,
            0.251759768,
            0.252489299,
            0.253218859,
            0.25394842,
            0.254677981,
            0.255407512,
            0.256137073,
            0.256866634,
            0.257596195,
            0.258325726,
            0.259055287,
            0.259784847,
            0.260514408,
            0.261856705,
            0.263558984,
            0.265261263,
            0.266963542,
            0.26866582,
            0.270368099,
            0.272070378,
            0.273772657,
            0.275474966,
            0.277177244,
            0.278879523,
            0.280581802,
            0.282284081,
            0.28398636,
            0.285688639,
            0.287390918,
            0.288603008,
            0.289332569,
            0.2900621,
            0.290791661,
            0.291521221,
            0.292250752,
            0.292980313,
            0.293709874,
            0.294439405,
            0.295168966,
            0.295898497,
            0.296628058,
            0.297357619,
            0.29808715,
            0.298816711,
            0.299546272,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.299908161,
            0.2991786,
            0.298449069,
            0.297719508,
            0.296989948,
            0.296260417,
            0.295530856,
            0.294801325,
            0.294071764,
            0.293342203,
            0.292612672,
            0.291883111,
            0.29115355,
            0.290424019,
            0.289694458,
            0.288964927
          ],
          [
            0.260784388,
            0.260054827,
            0.259325296,
            0.258595735,
            0.257866174,
            0.257136613,
            0.256407082,
            0.255677521,
            0.25494796,
            0.2542184,
            0.253488868,
            0.252759308,
            0.252029747,
            0.251300186,
            0.250570655,
            0.249841094,
            0.249111533,
            0.248381987,
            0.247652441,
            0.24692288,
            0.246193334,
            0.245463789,
            0.244734243,
            0.244004682,
            0.243275136,
            0.24254559,
            0.241816044,
            0.241086483,
            0.240356937,
            0.239627391,
            0.238897845,
            0.238168284,
            0.237438738,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.236801103,
            0.236071557,
            0.235342011,
            0.23461245,
            0.233882904,
            0.233153358,
            0.232423812,
            0.231694251,
            0.230964705,
            0.230235159,
            0.229505613,
            0.228776053,
            0.228046507,
            0.227316961,
            0.226587415,
            0.225857854,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225576386,
            0.226305932,
            0.227035478,
            0.227765024,
            0.228494585,
            0.229224131,
            0.229953676,
            0.230683222,
            0.231412783,
            0.232142329,
            0.232871875,
            0.233601421,
            0.234330982,
            0.235060528,
            0.235790074,
            0.23651962,
            0.237249166,
            0.237978727,
            0.238708273,
            0.239437819,
            0.240167364,
            0.240896925,
            0.241626471,
            0.242356017,
            0.243085563,
            0.243815124,
            0.24454467,
            0.245274216,
            0.246003762,
            0.246733323,
            0.247462869,
            0.248192415,
            0.248921961,
            0.249651521,
            0.250381082,
            0.251110613,
            0.251840174,
            0.252569735,
            0.253299296,
            0.254028827,
            0.254758388,
            0.255487949,
            0.25621751,
            0.256947041,
            0.257676601,
            0.258406162,
            0.259135723,
            0.259865254,
            0.260594815,
            0.261504352,
            0.2624771,
            0.263449848,
            0.264422566,
            0.265395314,
            0.266368061,
            0.267340779,
            0.268313527,
            0.269286245,
            0.270258993,
            0.271231741,
            0.272204459,
            0.273177207,
            0.274149954,
            0.275122672,
            0.27609542,
            0.276918799,
            0.27764833,
            0.278377891,
            0.279107422,
            0.279836982,
            0.280566514,
            0.281296074,
            0.282025605,
            0.282755166,
            0.283484697,
            0.284214258,
            0.284943789,
            0.28567335,
            0.286402881,
            0.287132442,
            0.287861973,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.287517309,
            0.286787778,
            0.286058217,
            0.285328686,
            0.284599125,
            0.283869594,
            0.283140033,
            0.282410502,
            0.281680942,
            0.280951411,
            0.28022185,
            0.279492319,
            0.278762758,
            0.278033227,
            0.277303666,
            0.276574135,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.275758415,
            0.274785668,
            0.27381292,
            0.272840202,
            0.271867454,
            0.270894706,
            0.269921988,
            0.26894924,
            0.267976522,
            0.267003775,
            0.266031027,
            0.265058309,
            0.264085561,
            0.263112843,
            0.262140095,
            0.261167347,
            0.260342062,
            0.259612501,
            0.25888294,
            0.258153409,
            0.257423848,
            0.256694287,
            0.255964726,
            0.255235195,
            0.254505634,
            0.253776073,
            0.253046513,
            0.252316982,
            0.251587421,
            0.25085786,
            0.250128329,
            0.249398768,
            0.248318791,
            0.246859699,
            0.245400593,
            0.243941501,
            0.242482394,
            0.241023302,
            0.239564195,
            0.238105103,
            0.236645997,
            0.235186905,
            0.233727798,
            0.232268706,
            0.230809599,
            0.229350507,
            0.227891415,
            0.226432309,
            0.224973217,
            0.22351411,
            0.222055018,
            0.220595926,
            0.219136834,
            0.217677727,
            0.216218635,
            0.214759544,
            0.213300452,
            0.211841345,
            0.210382253,
            0.208923161,
            0.207464069,
            0.206004977,
            0.20454587,
            0.203086779,
            0.201738745,
            0.200765997,
            0.199793264,
            0.198820531,
            0.197847798,
            0.196875066,
            0.195902318,
            0.194929585,
            0.193956852,
            0.192984119,
            0.192011371,
            0.191038638,
            0.190065905,
            0.189093173,
            0.188120425,
            0.187147692,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.18697919,
            0.187951922,
            0.188924655,
            0.189897403,
            0.190870136,
            0.191842869,
            0.192815602,
            0.19378835,
            0.194761083,
            0.195733815,
            0.196706548,
            0.197679296,
            0.198652029,
            0.199624762,
            0.200597495,
            0.201570243,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201623857,
            0.200651109,
            0.199678376,
            0.198705643,
            0.197732911,
            0.196760163,
            0.19578743,
            0.194814697,
            0.193841964,
            0.192869216,
            0.191896483,
            0.19092375,
            0.189951017,
            0.18897827,
            0.188005537,
            0.187032804,
            0.186113685,
            0.185384139,
            0.184654579,
            0.183925033,
            0.183195487,
            0.182465941,
            0.18173638,
            0.181006834,
            0.180277288,
            0.179547742,
            0.178818181,
            0.178088635,
            0.177359089,
            0.176629543,
            0.175899982,
            0.175170437,
            0.174440891,
            0.173711345,
            0.172981799,
            0.172252253,
            0.171522707,
            0.170793161,
            0.170063615,
            0.169334069,
            0.168604523,
            0.167874977,
            0.167145431,
            0.166415885,
            0.165686339,
            0.164956793,
            0.164227247,
            0.163497701,
            0.162768155,
            0.162038609,
            0.161309049,
            0.160579503,
            0.159849942,
            0.159120396,
            0.158390835,
            0.157661289,
            0.156931728,
            0.156202182,
            0.155472621,
            0.154743075,
            0.154013515,
            0.153283969,
            0.152554408,
            0.151824862,
            0.151095301,
            0.149546206,
            0.147843927,
            0.146141648,
            0.144439355,
            0.142737076,
            0.141034797,
            0.139332518,
            0.137630224,
            0.135927945,
            0.134225667,
            0.132523388,
            0.130821109,
            0.129118815,
            0.127416536,
            0.125714257,
            0.124011971,
            0.122483939,
            0.12102484,
            0.11956574,
            0.118106641,
            0.116647542,
            0.115188442,
            0.113729343,
            0.112270243,
            0.110811144,
            0.109352045,
            0.107892945,
            0.106433846,
            0.104974747,
            0.103515647,
            0.102056548,
            0.100597449,
            0.0991383493,
            0.0976792499,
            0.0962201506,
            0.0947610512,
            0.0933019519,
            0.0918428525,
            0.0903837532,
            0.0889246538,
            0.0874655545,
            0.0860064626,
            0.0845473558,
            0.0830882639,
            0.0816291571,
            0.0801700652,
            0.0787109584,
            0.0772518665,
            0.0760187134,
            0.0750459805,
            0.0740732476,
            0.0731005147,
            0.0721277818,
            0.0711550489,
            0.070182316,
            0.0692095831,
            0.0682368502,
            0.0672641173,
            0.0662913844,
            0.0653186515,
            0.0643459186,
            0.0633731857,
            0.0624004528,
            0.0614277199,
            0.0602903143,
            0.0588312149,
            0.0573721156,
            0.0559130162,
            0.0544539168,
            0.0529948175,
            0.0515357181,
            0.0500766188,
            0.0486175194,
            0.0471584201,
            0.0456993207,
            0.0442402214,
            0.042781122,
            0.0413220227,
            0.0398629233,
            0.038403824,
            0.0370998271,
            0.0363702774,
            0.0356407277,
            0.0349111781,
            0.0341816284,
            0.0334520787,
            0.0327225327,
            0.0319929793,
            0.0312634334,
            0.0305338819,
            0.0298043322,
            0.0290747825,
            0.0283452347,
            0.027615685,
            0.0268861353,
            0.0261565857,
            0.0253638458,
            0.0239047464,
            0.022445647,
            0.0209865477,
            0.0195274483,
            0.0180683509,
            0.0166092515,
            0.0151501512,
            0.0136910519,
            0.0122319534,
            0.0107728541,
            0.00931375474,
            0.00785465539,
            0.00639555603,
            0.00493645668,
            0.00347735733,
            0.00201825798,
            0.00102637778,
            5.36449952e-5,
            -0.00091908779,
            -0.00189182069,
            -0.00286455359,
            -0.00383728603,
            -0.00481001893,
            -0.00578275183,
            -0.00675548427,
            -0.00772821717,
            -0.00870095007,
            -0.00967368297,
            -0.0106464159,
            -0.0116191488,
            -0.0125918817,
            -0.0135646136,
            -0.0149432905,
            -0.0164023899,
            -0.0178614892,
            -0.0193205886,
            -0.0207796879,
            -0.0222387873,
            -0.0236978866,
            -0.025156986,
            -0.0266160835,
            -0.0280751828,
            -0.0295342822,
            -0.0309933815,
            -0.032452479,
            -0.0339115784,
            -0.0353706777,
            -0.0368297771,
            -0.0377718732,
            -0.0385014229,
            -0.0392309725,
            -0.0399605222,
            -0.0406900719,
            -0.0414196216,
            -0.0421491712,
            -0.0428787209,
            -0.0436082706,
            -0.0443378203,
            -0.0450673699,
            -0.0457969196,
            -0.0465264693,
            -0.047256019,
            -0.0479855686,
            -0.0487151183,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0495825335,
            -0.0512848161,
            -0.0529870987,
            -0.0546893813,
            -0.0563916638,
            -0.0580939464,
            -0.059796229,
            -0.0614985116,
            -0.0632007942,
            -0.0649030805,
            -0.0666053593,
            -0.0683076382,
            -0.0700099245,
            -0.0717122033,
            -0.0734144896,
            -0.0751167685,
            -0.07676927,
            -0.0782283694,
            -0.0796874687,
            -0.0811465681,
            -0.08260566,
            -0.0840647668,
            -0.0855238587,
            -0.0869829655,
            -0.0884420574,
            -0.0899011567,
            -0.0913602561,
            -0.0928193554,
            -0.0942784548,
            -0.0957375541,
            -0.0971966535,
            -0.0986557528,
            -0.100057408,
            -0.100786954,
            -0.101516508,
            -0.102246054,
            -0.102975599,
            -0.103705145,
            -0.104434699,
            -0.105164245,
            -0.105893791,
            -0.106623337,
            -0.107352883,
            -0.108082436,
            -0.108811982,
            -0.109541528,
            -0.110271081,
            -0.111000627,
            -0.111730173,
            -0.112459727,
            -0.113189273,
            -0.113918826,
            -0.114648379,
            -0.115377933,
            -0.116107479,
            -0.116837032,
            -0.117566586,
            -0.118296139,
            -0.119025685,
            -0.119755238,
            -0.120484792,
            -0.121214345,
            -0.121943891,
            -0.122673444,
            -0.123402998,
            -0.124333605,
            -0.125306338,
            -0.126279071,
            -0.127251804,
            -0.128224537,
            -0.12919727,
            -0.130170017,
            -0.13114275,
            -0.132115483,
            -0.133088216,
            -0.134060949,
            -0.135033682,
            -0.136006415,
            -0.136979148,
            -0.137951896,
            -0.138924628,
            -0.139726937,
            -0.140456483,
            -0.141186044,
            -0.14191559,
            -0.142645136,
            -0.143374681,
            -0.144104242,
            -0.144833788,
            -0.145563334,
            -0.14629288,
            -0.147022426,
            -0.147751987,
            -0.148481533,
            -0.149211079,
            -0.149940625,
            -0.150670186,
            -0.151399732,
            -0.152129278,
            -0.152858824,
            -0.153588384,
            -0.15431793,
            -0.155047476,
            -0.155777022,
            -0.156506583,
            -0.157236129,
            -0.157965675,
            -0.158695221,
            -0.159424782,
            -0.160154328,
            -0.160883874,
            -0.16161342,
            -0.162342981,
            -0.163072526,
            -0.163802072,
            -0.164531618,
            -0.165261179,
            -0.165990725,
            -0.166720271,
            -0.167449817,
            -0.168179378,
            -0.168908924,
            -0.16963847,
            -0.170368016,
            -0.171097577,
            -0.171827123,
            -0.172556669,
            -0.173286214,
            -0.17401576,
            -0.174980834,
            -0.176439941,
            -0.177899033,
            -0.17935814,
            -0.180817232,
            -0.182276338,
            -0.18373543,
            -0.185194537,
            -0.186653629,
            -0.188112736,
            -0.189571828,
            -0.191030934,
            -0.192490026,
            -0.193949133,
            -0.195408225,
            -0.196867332,
            -0.198230684,
            -0.199203417,
            -0.20017615,
            -0.201148883,
            -0.202121615,
            -0.203094348,
            -0.204067081,
            -0.205039814,
            -0.206012547,
            -0.20698528,
            -0.207958013,
            -0.208930746,
            -0.209903479,
            -0.210876212,
            -0.211848944,
            -0.212821677,
            -0.213777184,
            -0.21450673,
            -0.215236276,
            -0.215965822,
            -0.216695383,
            -0.217424929,
            -0.218154475,
            -0.218884021,
            -0.219613582,
            -0.220343128,
            -0.221072674,
            -0.22180222,
            -0.222531766,
            -0.223261327,
            -0.223990873,
            -0.224720418,
            -0.225449964,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.22489275,
            -0.224163204,
            -0.223433658,
            -0.222704113,
            -0.221974552,
            -0.221245006,
            -0.22051546,
            -0.219785914,
            -0.219056353,
            -0.218326807,
            -0.217597261,
            -0.216867715,
            -0.216138154,
            -0.215408608,
            -0.214679062,
            -0.213949516,
            -0.212545946,
            -0.210843667,
            -0.209141374,
            -0.207439095,
            -0.205736816,
            -0.204034537,
            -0.202332243,
            -0.200629964,
            -0.198927686,
            -0.197225407,
            -0.195523113,
            -0.193820834,
            -0.192118555,
            -0.190416276,
            -0.188713998,
            -0.187011704,
            -0.185447291,
            -0.183988199,
            -0.182529092,
            -0.18107,
            -0.179610893,
            -0.178151801,
            -0.176692694,
            -0.175233603,
            -0.173774496,
            -0.172315404,
            -0.170856297,
            -0.169397205,
            -0.167938098,
            -0.166479006,
            -0.1650199,
            -0.163560808,
            -0.162101701,
            -0.160642609,
            -0.159183502,
            -0.15772441,
            -0.156265303,
            -0.154806212,
            -0.153347105,
            -0.151888013,
            -0.150428906,
            -0.148969814,
            -0.147510707,
            -0.146051615,
            -0.144592524,
            -0.143133417,
            -0.14167431,
            -0.140215218,
            -0.13890931,
            -0.137936577,
            -0.136963829,
            -0.135991096,
            -0.135018364,
            -0.134045631,
            -0.133072898,
            -0.132100165,
            -0.131127432,
            -0.130154699,
            -0.129181951,
            -0.128209218,
            -0.127236485,
            -0.126263753,
            -0.12529102,
            -0.124318287,
            -0.123391509,
            -0.122661956,
            -0.121932402,
            -0.121202849,
            -0.120473303,
            -0.119743749,
            -0.119014196,
            -0.118284643,
            -0.117555097,
            -0.116825543,
            -0.11609599,
            -0.115366444,
            -0.114636891,
            -0.113907337,
            -0.113177784,
            -0.112448238,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11235632,
            -0.113085873,
            -0.113815427,
            -0.11454498,
            -0.115274526,
            -0.11600408,
            -0.116733633,
            -0.117463186,
            -0.118192732,
            -0.118922286,
            -0.119651839,
            -0.120381385,
            -0.121110938,
            -0.121840492,
            -0.122570045,
            -0.123299599,
            -0.12469551,
            -0.126397789,
            -0.128100067,
            -0.129802361,
            -0.13150464,
            -0.133206934,
            -0.134909213,
            -0.136611491,
            -0.138313785,
            -0.140016064,
            -0.141718343,
            -0.143420637,
            -0.145122916,
            -0.146825194,
            -0.148527488,
            -0.150229767,
            -0.152203962,
            -0.1543926,
            -0.156581253,
            -0.158769906,
            -0.160958558,
            -0.163147196,
            -0.165335849,
            -0.167524502,
            -0.169713154,
            -0.171901792,
            -0.174090445,
            -0.176279098,
            -0.178467751,
            -0.180656388,
            -0.182845041,
            -0.185033694,
            -0.187011704,
            -0.188713983,
            -0.190416276,
            -0.192118555,
            -0.193820834,
            -0.195523113,
            -0.197225407,
            -0.198927686,
            -0.200629964,
            -0.202332243,
            -0.204034537,
            -0.205736816,
            -0.207439095,
            -0.209141374,
            -0.210843652,
            -0.212545946,
            -0.213949516,
            -0.214679062,
            -0.215408608,
            -0.216138154,
            -0.216867715,
            -0.217597261,
            -0.218326807,
            -0.219056353,
            -0.219785914,
            -0.22051546,
            -0.221245006,
            -0.221974552,
            -0.222704113,
            -0.223433658,
            -0.224163204,
            -0.22489275,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225570604,
            -0.227029711,
            -0.228488803,
            -0.22994791,
            -0.231407002,
            -0.232866108,
            -0.2343252,
            -0.235784292,
            -0.237243399,
            -0.238702506,
            -0.240161598,
            -0.24162069,
            -0.243079796,
            -0.244538888,
            -0.245997995,
            -0.247457087,
            -0.248916194,
            -0.249697447,
            -0.250427008,
            -0.251156539,
            -0.2518861,
            -0.25261566,
            -0.253345191,
            -0.254074752,
            -0.254804313,
            -0.255533844,
            -0.256263405,
            -0.256992966,
            -0.257722497,
            -0.258452058,
            -0.259181619,
            -0.25991115,
            -0.260640711,
            -0.261565566,
            -0.262538314,
            -0.263511032,
            -0.26448378,
            -0.265456498,
            -0.266429245,
            -0.267401963,
            -0.268374681,
            -0.269347429,
            -0.270320147,
            -0.271292895,
            -0.272265613,
            -0.273238361,
            -0.274211079,
            -0.275183797,
            -0.276156545,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276056975,
            -0.275084227,
            -0.274111509,
            -0.273138791,
            -0.272166044,
            -0.271193326,
            -0.270220578,
            -0.26924786,
            -0.268275112,
            -0.267302394,
            -0.266329646,
            -0.265356928,
            -0.26438421,
            -0.263411462,
            -0.262438744,
            -0.261465997,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260749847,
            -0.260020316,
            -0.259290755,
            -0.258561194,
            -0.257831663,
            -0.257102102,
            -0.256372541,
            -0.25564301,
            -0.254913449,
            -0.254183888,
            -0.253454357,
            -0.252724797,
            -0.251995236,
            -0.251265705,
            -0.250536144,
            -0.249806583,
            -0.249077037,
            -0.248347491,
            -0.247617945,
            -0.246888384,
            -0.246158838,
            -0.245429292,
            -0.244699746,
            -0.243970186,
            -0.24324064,
            -0.242511094,
            -0.241781548,
            -0.241051987,
            -0.240322441,
            -0.239592895,
            -0.238863349,
            -0.238133788,
            -0.237404242,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.236858517,
            -0.236128971,
            -0.235399425,
            -0.234669864,
            -0.233940318,
            -0.233210772,
            -0.232481226,
            -0.231751665,
            -0.23102212,
            -0.230292574,
            -0.229563028,
            -0.228833467,
            -0.228103921,
            -0.227374375,
            -0.226644829,
            -0.225915268,
            -0.224779785,
            -0.223077506,
            -0.221375212,
            -0.219672933,
            -0.217970654,
            -0.216268376,
            -0.214566082,
            -0.212863803,
            -0.211161524,
            -0.209459245,
            -0.207756951,
            -0.206054673,
            -0.204352394,
            -0.202650115,
            -0.200947821,
            -0.199245542,
            -0.197826654,
            -0.197097108,
            -0.196367562,
            -0.195638016,
            -0.194908455,
            -0.194178909,
            -0.193449363,
            -0.192719817,
            -0.191990256,
            -0.19126071,
            -0.190531164,
            -0.189801618,
            -0.189072058,
            -0.188342512,
            -0.187612966,
            -0.18688342,
            -0.186033234,
            -0.184574127,
            -0.183115035,
            -0.181655928,
            -0.180196837,
            -0.17873773,
            -0.177278638,
            -0.175819531,
            -0.174360439,
            -0.172901332,
            -0.17144224,
            -0.169983134,
            -0.168524042,
            -0.167064935,
            -0.165605843,
            -0.164146736,
            -0.162687644,
            -0.161228538,
            -0.159769446,
            -0.158310339,
            -0.156851247,
            -0.15539214,
            -0.153933048,
            -0.152473956,
            -0.15101485,
            -0.149555758,
            -0.148096651,
            -0.146637559,
            -0.145178452,
            -0.14371936,
            -0.142260253,
            -0.140801162,
            -0.139342055,
            -0.137660831,
            -0.135958552,
            -0.134256259,
            -0.13255398,
            -0.130851686,
            -0.129149407,
            -0.127447113,
            -0.125744835,
            -0.124042548,
            -0.122340262,
            -0.120637976,
            -0.118935689,
            -0.117233403,
            -0.115531117,
            -0.11382883,
            -0.112126544,
            -0.111190192,
            -0.110460646,
            -0.1097311,
            -0.109001547,
            -0.108272001,
            -0.107542455,
            -0.106812909,
            -0.106083356,
            -0.10535381,
            -0.104624264,
            -0.103894718,
            -0.103165165,
            -0.102435619,
            -0.101706073,
            -0.100976527,
            -0.100246973,
            -0.0990348905,
            -0.0975757912,
            -0.0961166918,
            -0.0946575925,
            -0.0931984931,
            -0.0917393938,
            -0.0902802944,
            -0.0888211951,
            -0.0873620957,
            -0.0859029964,
            -0.084443897,
            -0.0829847977,
            -0.0815256983,
            -0.080066599,
            -0.0786074996,
            -0.0771484077,
            -0.0755590945,
            -0.0738568157,
            -0.0721545294,
            -0.0704522505,
            -0.0687499642,
            -0.0670476854,
            -0.0653453991,
            -0.0636431202,
            -0.0619408377,
            -0.0602385551,
            -0.0585362725,
            -0.0568339899,
            -0.0551317073,
            -0.0534294248,
            -0.0517271422,
            -0.0500248596,
            -0.0481234342,
            -0.0459347852,
            -0.0437461361,
            -0.0415574908,
            -0.0393688381,
            -0.0371801928,
            -0.0349915437,
            -0.0328028947,
            -0.0306142457,
            -0.0284255967,
            -0.0262369476,
            -0.0240482986,
            -0.0218596496,
            -0.0196710024,
            -0.0174823515,
            -0.0152937025,
            -0.0130361216,
            -0.0106042894,
            -0.00817245804,
            -0.00574062578,
            -0.00330879353,
            -0.000876961276,
            0.00155487005,
            0.00398670323,
            0.00641853362,
            0.00885036588,
            0.0112821981,
            0.0137140304,
            0.0161458626,
            0.0185776949,
            0.0210095271,
            0.0234413594,
            0.025720004,
            0.0271791033,
            0.0286382027,
            0.030097302,
            0.0315564014,
            0.0330155008,
            0.0344746001,
            0.0359336957,
            0.0373927951,
            0.0388518944,
            0.0403109938,
            0.0417700931,
            0.0432291925,
            0.0446882918,
            0.0461473912,
            0.0476064906,
            0.0490732491,
            0.0507755317,
            0.0524778143,
            0.0541800968,
            0.0558823794,
            0.057584662,
            0.0592869446,
            0.0609892271,
            0.0626915097,
            0.0643937886,
            0.0660960749,
            0.0677983537,
            0.06950064,
            0.0712029189,
            0.0729052052,
            0.074607484,
            0.0763097703,
            0.0777918473,
            0.0792509466,
            0.080710046,
            0.0821691453,
            0.0836282447,
            0.0850873441,
            0.086546436,
            0.0880055428,
            0.0894646347,
            0.0909237415,
            0.0923828334,
            0.0938419402,
            0.0953010321,
            0.0967601389,
            0.0982192308,
            0.0996783301,
            0.101895705,
            0.104327537,
            0.106759369,
            0.109191202,
            0.111623034,
            0.114054866,
            0.116486698,
            0.118918523,
            0.121350363,
            0.123782188,
            0.126214027,
            0.128645852,
            0.131077692,
            0.133509517,
            0.135941356,
            0.138373181,
            0.140169293,
            0.141628399,
            0.143087506,
            0.144546598,
            0.146005705,
            0.147464812,
            0.148923919,
            0.150383011,
            0.151842117,
            0.153301224,
            0.154760331,
            0.156219423,
            0.15767853,
            0.159137636,
            0.160596728,
            0.162055835,
            0.16313006,
            0.163859606,
            0.164589152,
            0.165318698,
            0.166048244,
            0.16677779,
            0.167507336,
            0.168236881,
            0.168966427,
            0.169695973,
            0.170425519,
            0.171155065,
            0.171884611,
            0.172614157,
            0.173343703,
            0.174073249,
            0.174802795,
            0.175532341,
            0.176261887,
            0.176991448,
            0.177720994,
            0.17845054,
            0.179180086,
            0.179909647,
            0.180639192,
            0.181368738,
            0.182098284,
            0.18282783,
            0.183557391,
            0.184286937,
            0.185016483,
            0.185746029,
            0.1865426,
            0.187515348,
            0.188488081,
            0.189460814,
            0.190433547,
            0.191406295,
            0.192379028,
            0.193351761,
            0.194324493,
            0.195297241,
            0.196269974,
            0.197242707,
            0.19821544,
            0.199188173,
            0.200160921,
            0.201133654,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.202615723,
            0.203345269,
            0.204074815,
            0.204804361,
            0.205533907,
            0.206263453,
            0.206992999,
            0.207722545,
            0.208452091,
            0.209181637,
            0.209911183,
            0.210640728,
            0.211370274,
            0.21209982,
            0.212829366,
            0.213558912,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.214196548,
            0.214926109,
            0.215655655,
            0.216385201,
            0.217114747,
            0.217844307,
            0.218573853,
            0.219303399,
            0.220032945,
            0.220762506,
            0.221492052,
            0.222221598,
            0.222951144,
            0.223680705,
            0.224410251,
            0.225139797,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225777432,
            0.226506993,
            0.227236539,
            0.227966085,
            0.228695631,
            0.229425192,
            0.230154738,
            0.230884284,
            0.23161383,
            0.232343376,
            0.233072937,
            0.233802482,
            0.234532028,
            0.235261574,
            0.235991135,
            0.236720681,
            0.237450227,
            0.238179773,
            0.238909334,
            0.23963888,
            0.240368426,
            0.241097972,
            0.241827533,
            0.242557079,
            0.243286625,
            0.244016171,
            0.244745731,
            0.245475277,
            0.246204823,
            0.246934369,
            0.24766393,
            0.248393476,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.248462409,
            0.247732863,
            0.247003302,
            0.246273756,
            0.24554421,
            0.244814664,
            0.244085103,
            0.243355557,
            0.242626011,
            0.241896465,
            0.241166919,
            0.240437359,
            0.239707813,
            0.238978267,
            0.238248706,
            0.23751916,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237065345,
            0.236335799,
            0.235606253,
            0.234876707,
            0.234147146,
            0.2334176,
            0.232688054,
            0.231958508,
            0.231228948,
            0.230499402,
            0.229769856,
            0.22904031,
            0.228310749,
            0.227581203,
            0.226851657,
            0.226122111,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.2261336,
            0.226863146,
            0.227592692,
            0.228322238,
            0.229051799,
            0.229781345,
            0.23051089,
            0.231240436,
            0.231969997,
            0.232699543,
            0.233429089,
            0.234158635,
            0.234888196,
            0.235617742,
            0.236347288,
            0.237076834,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237714469,
            0.23844403,
            0.239173576,
            0.239903122,
            0.240632668,
            0.241362229,
            0.242091775,
            0.242821321,
            0.243550867,
            0.244280428,
            0.245009974,
            0.24573952,
            0.246469066,
            0.247198626,
            0.247928172,
            0.248657718,
            0.249387264,
            0.250116825,
            0.250846386,
            0.251575917,
            0.252305478,
            0.253035039,
            0.2537646,
            0.254494131,
            0.255223691,
            0.255953252,
            0.256682813,
            0.257412344,
            0.258141905,
            0.258871466,
            0.259601027,
            0.260330558,
            0.261152029,
            0.262124777,
            0.263097495,
            0.264070243,
            0.26504299,
            0.266015708,
            0.266988456,
            0.267961204,
            0.268933922,
            0.26990667,
            0.270879388,
            0.271852136,
            0.272824883,
            0.273797601,
            0.274770349,
            0.275743097,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721
          ],
          [
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.248381987,
            0.247652441,
            0.24692288,
            0.246193334,
            0.245463789,
            0.244734243,
            0.244004682,
            0.243275136,
            0.24254559,
            0.241816044,
            0.241086483,
            0.240356937,
            0.239627391,
            0.238897845,
            0.238168284,
            0.237438738,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.236801103,
            0.236071557,
            0.235342011,
            0.23461245,
            0.233882904,
            0.233153358,
            0.232423812,
            0.231694251,
            0.230964705,
            0.230235159,
            0.229505613,
            0.228776053,
            0.228046507,
            0.227316961,
            0.226587415,
            0.225857854,
            0.225852117,
            0.226581663,
            0.227311209,
            0.22804077,
            0.228770316,
            0.229499862,
            0.230229408,
            0.230958968,
            0.231688514,
            0.23241806,
            0.233147606,
            0.233877167,
            0.234606713,
            0.235336259,
            0.236065805,
            0.236795366,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237076834,
            0.236347288,
            0.235617742,
            0.234888196,
            0.234158635,
            0.233429089,
            0.232699543,
            0.231969997,
            0.231240436,
            0.23051089,
            0.229781345,
            0.229051799,
            0.228322238,
            0.227592692,
            0.226863146,
            0.2261336,
            0.225576386,
            0.226305932,
            0.227035478,
            0.227765024,
            0.228494585,
            0.229224131,
            0.229953676,
            0.230683222,
            0.231412783,
            0.232142329,
            0.232871875,
            0.233601421,
            0.234330982,
            0.235060528,
            0.235790074,
            0.23651962,
            0.237249166,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237886816,
            0.238616362,
            0.239345908,
            0.240075454,
            0.240805015,
            0.241534561,
            0.242264107,
            0.242993653,
            0.243723214,
            0.24445276,
            0.245182306,
            0.245911852,
            0.246641412,
            0.247370958,
            0.248100504,
            0.24883005,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249467701,
            0.250197262,
            0.250926793,
            0.251656353,
            0.252385914,
            0.253115475,
            0.253845006,
            0.254574567,
            0.255304128,
            0.256033689,
            0.25676322,
            0.257492781,
            0.258222342,
            0.258951902,
            0.259681433,
            0.260410994,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.261014163,
            0.261986911,
            0.262959629,
            0.263932377,
            0.264905125,
            0.265877843,
            0.266850591,
            0.267823309,
            0.268796057,
            0.269768804,
            0.270741522,
            0.27171427,
            0.272687018,
            0.273659736,
            0.274632484,
            0.275605202,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.275513291,
            0.274540573,
            0.273567826,
            0.272595108,
            0.27162236,
            0.270649612,
            0.269676894,
            0.268704146,
            0.267731398,
            0.26675868,
            0.265785933,
            0.264813215,
            0.263840467,
            0.262867719,
            0.261895001,
            0.260922253,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260250151,
            0.25952059,
            0.258791029,
            0.258061498,
            0.257331938,
            0.256602377,
            0.255872816,
            0.255143285,
            0.254413724,
            0.253684163,
            0.252954602,
            0.252225071,
            0.25149551,
            0.250765949,
            0.250036389,
            0.249306843,
            0.248577297,
            0.247847751,
            0.247118205,
            0.246388644,
            0.245659098,
            0.244929552,
            0.244200006,
            0.243470445,
            0.242740899,
            0.242011353,
            0.241281807,
            0.240552247,
            0.239822701,
            0.239093155,
            0.238363609,
            0.237634048,
            0.236554086,
            0.235094994,
            0.233635888,
            0.232176796,
            0.230717689,
            0.229258597,
            0.22779949,
            0.226340398,
            0.224881291,
            0.223422199,
            0.221963093,
            0.220504001,
            0.219044894,
            0.217585802,
            0.21612671,
            0.214667603,
            0.213122338,
            0.211420059,
            0.209717765,
            0.208015487,
            0.206313208,
            0.204610929,
            0.202908635,
            0.201206356,
            0.199504077,
            0.197801799,
            0.19609952,
            0.194397226,
            0.192694947,
            0.190992668,
            0.189290389,
            0.187588096,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.187101737,
            0.18807447,
            0.189047217,
            0.19001995,
            0.190992683,
            0.191965416,
            0.192938149,
            0.193910897,
            0.19488363,
            0.195856363,
            0.196829095,
            0.197801843,
            0.198774576,
            0.199747309,
            0.200720042,
            0.20169279,
            0.202489346,
            0.203218892,
            0.203948438,
            0.204677984,
            0.20540753,
            0.206137076,
            0.206866622,
            0.207596168,
            0.208325714,
            0.20905526,
            0.209784806,
            0.210514352,
            0.211243898,
            0.211973444,
            0.21270299,
            0.213432536,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213472754,
            0.212743208,
            0.212013662,
            0.211284116,
            0.21055457,
            0.209825024,
            0.209095478,
            0.208365932,
            0.207636386,
            0.20690684,
            0.206177294,
            0.205447748,
            0.204718202,
            0.203988656,
            0.20325911,
            0.202529564,
            0.201746404,
            0.200773656,
            0.199800923,
            0.198828191,
            0.197855458,
            0.196882725,
            0.195909977,
            0.194937244,
            0.193964511,
            0.192991778,
            0.19201903,
            0.191046298,
            0.190073565,
            0.189100832,
            0.188128084,
            0.187155351,
            0.186205596,
            0.18547605,
            0.184746489,
            0.184016943,
            0.183287397,
            0.182557851,
            0.18182829,
            0.181098744,
            0.180369198,
            0.179639652,
            0.178910106,
            0.178180546,
            0.177451,
            0.176721454,
            0.175991893,
            0.175262347,
            0.174532801,
            0.173803255,
            0.173073709,
            0.172344163,
            0.171614617,
            0.170885071,
            0.170155525,
            0.169425979,
            0.168696433,
            0.167966887,
            0.167237341,
            0.166507795,
            0.16577825,
            0.165048704,
            0.164319158,
            0.163589612,
            0.162860066,
            0.161515862,
            0.160056755,
            0.158597648,
            0.157138541,
            0.155679449,
            0.154220343,
            0.152761236,
            0.151302129,
            0.149843037,
            0.14838393,
            0.146924824,
            0.145465732,
            0.144006625,
            0.142547518,
            0.141088411,
            0.139629304,
            0.137995958,
            0.136293679,
            0.134591401,
            0.132889122,
            0.131186828,
            0.129484549,
            0.12778227,
            0.126079991,
            0.124377705,
            0.122675419,
            0.12097314,
            0.119270854,
            0.117568575,
            0.115866289,
            0.11416401,
            0.112461731,
            0.110903054,
            0.109443955,
            0.107984856,
            0.106525756,
            0.105066657,
            0.103607558,
            0.102148458,
            0.100689359,
            0.0992302597,
            0.0977711678,
            0.096312061,
            0.0948529691,
            0.0933938622,
            0.0919347703,
            0.0904756635,
            0.0890165716,
            0.0878963917,
            0.0871668458,
            0.0864372924,
            0.0857077464,
            0.084978193,
            0.0842486471,
            0.0835190937,
            0.0827895477,
            0.0820599943,
            0.0813304484,
            0.080600895,
            0.079871349,
            0.0791417956,
            0.0784122497,
            0.0776827037,
            0.0769531503,
            0.0758942515,
            0.0741919652,
            0.0724896863,
            0.0707874,
            0.0690851212,
            0.0673828423,
            0.065680556,
            0.0639782697,
            0.0622759908,
            0.0605737083,
            0.0588714257,
            0.0571691431,
            0.0554668605,
            0.0537645817,
            0.0520622954,
            0.0503600165,
            0.0487094335,
            0.0472503342,
            0.0457912348,
            0.0443321355,
            0.0428730361,
            0.0414139368,
            0.0399548374,
            0.0384957381,
            0.0370366387,
            0.0355775394,
            0.03411844,
            0.0326593406,
            0.0312002432,
            0.0297411438,
            0.0282820445,
            0.0268229451,
            0.0253638458,
            0.0239047464,
            0.022445647,
            0.0209865477,
            0.0195274483,
            0.0180683509,
            0.0166092515,
            0.0151501512,
            0.0136910519,
            0.0122319534,
            0.0107728541,
            0.00931375474,
            0.00785465539,
            0.00639555603,
            0.00493645668,
            0.00347735733,
            0.00201825798,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00054001133,
            -0.00116227102,
            -0.00286455359,
            -0.00456683571,
            -0.00626911782,
            -0.0079714004,
            -0.00967368297,
            -0.0113759656,
            -0.0130782472,
            -0.0147805307,
            -0.0164828114,
            -0.018185094,
            -0.0198873766,
            -0.0215896592,
            -0.0232919417,
            -0.0249942243,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0259152558,
            -0.0266448054,
            -0.0273743551,
            -0.0281039048,
            -0.0288334545,
            -0.0295630042,
            -0.0302925538,
            -0.0310221035,
            -0.031751655,
            -0.032481201,
            -0.0332107544,
            -0.0339403003,
            -0.0346698537,
            -0.0353993997,
            -0.0361289531,
            -0.0368584991,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0377374068,
            -0.0391965061,
            -0.0406556055,
            -0.0421147048,
            -0.0435738042,
            -0.0450329036,
            -0.0464920029,
            -0.0479511023,
            -0.0494102016,
            -0.050869301,
            -0.0523284003,
            -0.0537874997,
            -0.055246599,
            -0.0567056984,
            -0.0581647977,
            -0.0596238971,
            -0.0609834231,
            -0.061956156,
            -0.0629288852,
            -0.0639016181,
            -0.064874351,
            -0.0658470839,
            -0.0668198168,
            -0.0677925497,
            -0.0687652826,
            -0.0697380155,
            -0.0707107484,
            -0.0716834813,
            -0.0726562142,
            -0.0736289471,
            -0.07460168,
            -0.0755744129,
            -0.0765854418,
            -0.0780445412,
            -0.0795036405,
            -0.0809627399,
            -0.0824218392,
            -0.0838809386,
            -0.0853400379,
            -0.0867991373,
            -0.0882582366,
            -0.089717336,
            -0.0911764354,
            -0.0926355347,
            -0.0940946341,
            -0.0955537334,
            -0.0970128328,
            -0.0984719321,
            -0.0999310315,
            -0.100695044,
            -0.10142459,
            -0.102154143,
            -0.102883689,
            -0.103613235,
            -0.104342781,
            -0.105072334,
            -0.10580188,
            -0.106531426,
            -0.107260972,
            -0.107990526,
            -0.108720072,
            -0.109449618,
            -0.110179164,
            -0.110908717,
            -0.111638263,
            -0.112367809,
            -0.113097362,
            -0.113826916,
            -0.114556469,
            -0.115286015,
            -0.116015568,
            -0.116745122,
            -0.117474675,
            -0.118204221,
            -0.118933775,
            -0.119663328,
            -0.120392874,
            -0.121122427,
            -0.121851981,
            -0.122581534,
            -0.123311087,
            -0.124211058,
            -0.125183791,
            -0.126156524,
            -0.127129257,
            -0.12810199,
            -0.129074723,
            -0.130047455,
            -0.131020203,
            -0.131992936,
            -0.132965669,
            -0.133938402,
            -0.134911135,
            -0.135883868,
            -0.136856601,
            -0.137829334,
            -0.138802081,
            -0.140054375,
            -0.141513467,
            -0.142972574,
            -0.144431666,
            -0.145890772,
            -0.147349864,
            -0.148808971,
            -0.150268063,
            -0.15172717,
            -0.153186262,
            -0.154645368,
            -0.15610446,
            -0.157563567,
            -0.159022659,
            -0.160481766,
            -0.161940858,
            -0.163072526,
            -0.163802072,
            -0.164531618,
            -0.165261179,
            -0.165990725,
            -0.166720271,
            -0.167449817,
            -0.168179378,
            -0.168908924,
            -0.16963847,
            -0.170368016,
            -0.171097577,
            -0.171827123,
            -0.172556669,
            -0.173286214,
            -0.17401576,
            -0.174745321,
            -0.175474867,
            -0.176204413,
            -0.176933959,
            -0.17766352,
            -0.178393066,
            -0.179122612,
            -0.179852158,
            -0.180581719,
            -0.181311265,
            -0.182040811,
            -0.182770357,
            -0.183499917,
            -0.184229463,
            -0.184959009,
            -0.185688555,
            -0.186418116,
            -0.187147662,
            -0.187877208,
            -0.188606754,
            -0.189336315,
            -0.190065861,
            -0.190795407,
            -0.191524953,
            -0.192254514,
            -0.192984059,
            -0.193713605,
            -0.194443151,
            -0.195172712,
            -0.195902258,
            -0.196631804,
            -0.19736135,
            -0.198108137,
            -0.19908087,
            -0.200053602,
            -0.201026335,
            -0.201999068,
            -0.202971801,
            -0.203944534,
            -0.204917267,
            -0.20589,
            -0.206862733,
            -0.207835466,
            -0.208808199,
            -0.209780931,
            -0.210753664,
            -0.211726397,
            -0.21269913,
            -0.213671863,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.212928906,
            -0.211956173,
            -0.21098344,
            -0.210010707,
            -0.209037974,
            -0.208065242,
            -0.207092509,
            -0.206119776,
            -0.205147043,
            -0.20417431,
            -0.203201577,
            -0.202228844,
            -0.201256111,
            -0.200283378,
            -0.199310645,
            -0.198337913,
            -0.197533682,
            -0.196804136,
            -0.19607459,
            -0.195345044,
            -0.194615483,
            -0.193885937,
            -0.193156391,
            -0.192426845,
            -0.191697299,
            -0.190967739,
            -0.190238193,
            -0.189508647,
            -0.188779101,
            -0.18804954,
            -0.187319994,
            -0.186590448,
            -0.185447291,
            -0.183988199,
            -0.182529092,
            -0.18107,
            -0.179610893,
            -0.178151801,
            -0.176692694,
            -0.175233603,
            -0.173774496,
            -0.172315404,
            -0.170856297,
            -0.169397205,
            -0.167938098,
            -0.166479006,
            -0.1650199,
            -0.163560808,
            -0.162101701,
            -0.160642609,
            -0.159183502,
            -0.15772441,
            -0.156265303,
            -0.154806212,
            -0.153347105,
            -0.151888013,
            -0.150428906,
            -0.148969814,
            -0.147510707,
            -0.146051615,
            -0.144592524,
            -0.143133417,
            -0.14167431,
            -0.140215218,
            -0.13890931,
            -0.137936577,
            -0.136963829,
            -0.135991096,
            -0.135018364,
            -0.134045631,
            -0.133072898,
            -0.132100165,
            -0.131127432,
            -0.130154699,
            -0.129181951,
            -0.128209218,
            -0.127236485,
            -0.126263753,
            -0.12529102,
            -0.124318287,
            -0.123391509,
            -0.122661956,
            -0.121932402,
            -0.121202849,
            -0.120473303,
            -0.119743749,
            -0.119014196,
            -0.118284643,
            -0.117555097,
            -0.116825543,
            -0.11609599,
            -0.115366444,
            -0.114636891,
            -0.113907337,
            -0.113177784,
            -0.112448238,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.112448238,
            -0.113177784,
            -0.113907337,
            -0.114636891,
            -0.115366444,
            -0.11609599,
            -0.116825543,
            -0.117555097,
            -0.118284643,
            -0.119014196,
            -0.119743749,
            -0.120473303,
            -0.121202856,
            -0.121932402,
            -0.122661956,
            -0.123391509,
            -0.124318287,
            -0.12529102,
            -0.126263753,
            -0.127236485,
            -0.128209218,
            -0.129181951,
            -0.130154699,
            -0.131127432,
            -0.132100165,
            -0.133072898,
            -0.134045631,
            -0.135018364,
            -0.135991096,
            -0.136963829,
            -0.137936577,
            -0.13890931,
            -0.140215218,
            -0.14167431,
            -0.143133417,
            -0.144592524,
            -0.146051615,
            -0.147510707,
            -0.148969814,
            -0.150428906,
            -0.151888013,
            -0.153347105,
            -0.154806212,
            -0.156265303,
            -0.15772441,
            -0.159183502,
            -0.160642609,
            -0.162101701,
            -0.163560808,
            -0.1650199,
            -0.166479006,
            -0.167938098,
            -0.169397205,
            -0.170856297,
            -0.172315404,
            -0.173774496,
            -0.175233603,
            -0.176692694,
            -0.178151801,
            -0.179610893,
            -0.18107,
            -0.182529092,
            -0.183988199,
            -0.185447291,
            -0.187011704,
            -0.188713983,
            -0.190416276,
            -0.192118555,
            -0.193820834,
            -0.195523113,
            -0.197225407,
            -0.198927686,
            -0.200629964,
            -0.202332243,
            -0.204034537,
            -0.205736816,
            -0.207439095,
            -0.209141374,
            -0.210843652,
            -0.212545946,
            -0.21417354,
            -0.215632647,
            -0.217091739,
            -0.218550846,
            -0.220009938,
            -0.221469045,
            -0.222928137,
            -0.224387243,
            -0.225846335,
            -0.227305442,
            -0.228764534,
            -0.230223641,
            -0.231682733,
            -0.23314184,
            -0.234600931,
            -0.236060038,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237335309,
            -0.238794416,
            -0.240253508,
            -0.241712615,
            -0.243171722,
            -0.244630814,
            -0.24608992,
            -0.247549012,
            -0.249008119,
            -0.250467211,
            -0.251926333,
            -0.253385425,
            -0.254844517,
            -0.256303608,
            -0.25776273,
            -0.259221822,
            -0.260680914,
            -0.261688113,
            -0.262660861,
            -0.263633579,
            -0.264606327,
            -0.265579045,
            -0.266551793,
            -0.267524511,
            -0.268497229,
            -0.269469976,
            -0.270442694,
            -0.271415442,
            -0.27238816,
            -0.273360908,
            -0.274333626,
            -0.275306344,
            -0.276279092,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276872694,
            -0.277602226,
            -0.278331786,
            -0.279061347,
            -0.279790878,
            -0.280520439,
            -0.28124997,
            -0.281979531,
            -0.282709092,
            -0.283438623,
            -0.284168184,
            -0.284897745,
            -0.285627276,
            -0.286356837,
            -0.287086368,
            -0.287815928,
            -0.287925065,
            -0.287195534,
            -0.286465973,
            -0.285736412,
            -0.285006881,
            -0.28427732,
            -0.283547789,
            -0.282818228,
            -0.282088667,
            -0.281359136,
            -0.280629575,
            -0.279900014,
            -0.279170483,
            -0.278440922,
            -0.277711391,
            -0.276981831,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276302069,
            -0.275329322,
            -0.274356604,
            -0.273383886,
            -0.272411138,
            -0.27143842,
            -0.270465672,
            -0.269492954,
            -0.268520206,
            -0.267547488,
            -0.26657477,
            -0.265602022,
            -0.264629304,
            -0.263656557,
            -0.262683839,
            -0.261711091,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260112226,
            -0.259382665,
            -0.258653104,
            -0.257923573,
            -0.257194012,
            -0.256464452,
            -0.255734921,
            -0.25500536,
            -0.254275799,
            -0.253546268,
            -0.252816707,
            -0.252087146,
            -0.251357615,
            -0.250628054,
            -0.249898508,
            -0.249168947,
            -0.248439401,
            -0.247709855,
            -0.246980295,
            -0.246250749,
            -0.245521203,
            -0.244791657,
            -0.244062096,
            -0.24333255,
            -0.242603004,
            -0.241873458,
            -0.241143897,
            -0.240414351,
            -0.239684805,
            -0.238955259,
            -0.238225698,
            -0.237496153,
            -0.236766607,
            -0.236037061,
            -0.235307515,
            -0.234577954,
            -0.233848408,
            -0.233118862,
            -0.232389316,
            -0.231659755,
            -0.230930209,
            -0.230200663,
            -0.229471117,
            -0.228741556,
            -0.22801201,
            -0.227282465,
            -0.226552919,
            -0.225823358,
            -0.225093812,
            -0.224364266,
            -0.22363472,
            -0.222905159,
            -0.222175613,
            -0.221446067,
            -0.220716521,
            -0.21998696,
            -0.219257414,
            -0.218527868,
            -0.217798322,
            -0.217068762,
            -0.216339216,
            -0.21560967,
            -0.214880124,
            -0.214150563,
            -0.21331954,
            -0.212346807,
            -0.211374074,
            -0.210401341,
            -0.209428608,
            -0.208455876,
            -0.207483143,
            -0.20651041,
            -0.205537677,
            -0.204564944,
            -0.203592211,
            -0.202619478,
            -0.201646745,
            -0.200674012,
            -0.199701279,
            -0.198728547,
            -0.197614118,
            -0.196155012,
            -0.19469592,
            -0.193236813,
            -0.191777721,
            -0.190318614,
            -0.188859522,
            -0.187400416,
            -0.185941324,
            -0.184482217,
            -0.183023125,
            -0.181564018,
            -0.180104926,
            -0.178645819,
            -0.177186728,
            -0.175727621,
            -0.174268529,
            -0.172809422,
            -0.17135033,
            -0.169891223,
            -0.168432131,
            -0.166973025,
            -0.165513933,
            -0.164054826,
            -0.162595734,
            -0.161136627,
            -0.159677535,
            -0.158218428,
            -0.156759337,
            -0.15530023,
            -0.153841138,
            -0.152382031,
            -0.150951654,
            -0.150222108,
            -0.149492562,
            -0.148763016,
            -0.14803347,
            -0.147303909,
            -0.146574363,
            -0.145844817,
            -0.145115271,
            -0.14438571,
            -0.143656164,
            -0.142926618,
            -0.142197073,
            -0.141467512,
            -0.140737966,
            -0.14000842,
            -0.139278874,
            -0.137660831,
            -0.135958552,
            -0.134256259,
            -0.13255398,
            -0.130851686,
            -0.129149407,
            -0.127447113,
            -0.125744835,
            -0.124042548,
            -0.122340262,
            -0.120637976,
            -0.118935689,
            -0.117233403,
            -0.115531117,
            -0.11382883,
            -0.112126544,
            -0.111190192,
            -0.110460646,
            -0.1097311,
            -0.109001547,
            -0.108272001,
            -0.107542455,
            -0.106812909,
            -0.106083356,
            -0.10535381,
            -0.104624264,
            -0.103894718,
            -0.103165165,
            -0.102435619,
            -0.101706073,
            -0.100976527,
            -0.100246973,
            -0.0990348905,
            -0.0975757912,
            -0.0961166918,
            -0.0946575925,
            -0.0931984931,
            -0.0917393938,
            -0.0902802944,
            -0.0888211951,
            -0.0873620957,
            -0.0859029964,
            -0.084443897,
            -0.0829847977,
            -0.0815256983,
            -0.080066599,
            -0.0786074996,
            -0.0771484077,
            -0.0755590945,
            -0.0738568157,
            -0.0721545294,
            -0.0704522505,
            -0.0687499642,
            -0.0670476854,
            -0.0653453991,
            -0.0636431202,
            -0.0619408377,
            -0.0602385551,
            -0.0585362725,
            -0.0568339899,
            -0.0551317073,
            -0.0534294248,
            -0.0517271422,
            -0.0500248596,
            -0.0484221503,
            -0.046963051,
            -0.0455039516,
            -0.0440448523,
            -0.0425857529,
            -0.0411266536,
            -0.0396675542,
            -0.0382084548,
            -0.0367493555,
            -0.0352902561,
            -0.0338311568,
            -0.0323720574,
            -0.0309129581,
            -0.0294538587,
            -0.0279947594,
            -0.0265356619,
            -0.0248008259,
            -0.0223689936,
            -0.0199371632,
            -0.017505331,
            -0.0150734987,
            -0.0126416665,
            -0.0102098351,
            -0.00777800195,
            -0.00534617156,
            -0.0029143393,
            -0.00048250705,
            0.0019493252,
            0.00438115746,
            0.00681298971,
            0.00924482197,
            0.0116766542,
            0.0139552988,
            0.0154143982,
            0.0168734975,
            0.0183325969,
            0.0197916962,
            0.0212507956,
            0.0227098949,
            0.0241689924,
            0.0256280918,
            0.0270871911,
            0.0285462905,
            0.0300053898,
            0.0314644873,
            0.0329235867,
            0.034382686,
            0.0358417854,
            0.0373008847,
            0.0387599841,
            0.0402190834,
            0.0416781828,
            0.0431372821,
            0.0445963815,
            0.0460554808,
            0.0475145802,
            0.0489736795,
            0.0504327789,
            0.0518918782,
            0.0533509776,
            0.054810077,
            0.0562691763,
            0.0577282757,
            0.059187375,
            0.0606464744,
            0.0623257756,
            0.0640280619,
            0.0657303408,
            0.0674326271,
            0.0691349059,
            0.0708371848,
            0.0725394711,
            0.0742417574,
            0.0759440362,
            0.0776463151,
            0.0793486014,
            0.0810508803,
            0.0827531666,
            0.0844554454,
            0.0861577317,
            0.0878600106,
            0.0899414271,
            0.0921300799,
            0.0943187252,
            0.0965073779,
            0.0986960232,
            0.100884676,
            0.103073321,
            0.105261974,
            0.107450619,
            0.109639272,
            0.111827917,
            0.114016563,
            0.116205215,
            0.118393868,
            0.120582514,
            0.122771159,
            0.124641947,
            0.126344234,
            0.128046513,
            0.129748791,
            0.131451085,
            0.133153364,
            0.134855643,
            0.136557922,
            0.138260216,
            0.139962494,
            0.141664773,
            0.143367052,
            0.145069331,
            0.146771625,
            0.148473904,
            0.150176182,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151566356,
            0.153025448,
            0.154484555,
            0.155943647,
            0.157402754,
            0.158861846,
            0.160320938,
            0.161780044,
            0.163239151,
            0.164698243,
            0.166157335,
            0.167616442,
            0.169075549,
            0.170534641,
            0.171993732,
            0.173452839,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.1751647,
            0.175894246,
            0.176623791,
            0.177353337,
            0.178082898,
            0.178812444,
            0.17954199,
            0.180271536,
            0.181001097,
            0.181730643,
            0.182460189,
            0.183189735,
            0.183919296,
            0.184648842,
            0.185378388,
            0.186107934,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186902598,
            0.18787533,
            0.188848063,
            0.189820811,
            0.190793544,
            0.191766277,
            0.19273901,
            0.193711743,
            0.194684491,
            0.195657223,
            0.196629956,
            0.197602689,
            0.198575437,
            0.19954817,
            0.200520903,
            0.201493636,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.202248082,
            0.202977628,
            0.203707173,
            0.204436719,
            0.205166265,
            0.205895811,
            0.206625357,
            0.207354903,
            0.208084449,
            0.208813995,
            0.209543541,
            0.210273087,
            0.211002633,
            0.211732179,
            0.212461725,
            0.213191271,
            0.213920817,
            0.214650363,
            0.215379924,
            0.21610947,
            0.216839015,
            0.217568561,
            0.218298122,
            0.219027668,
            0.219757214,
            0.22048676,
            0.221216321,
            0.221945867,
            0.222675413,
            0.223404959,
            0.22413452,
            0.224864066,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.224932998,
            0.224203452,
            0.223473892,
            0.222744346,
            0.2220148,
            0.221285254,
            0.220555693,
            0.219826147,
            0.219096601,
            0.218367055,
            0.217637509,
            0.216907948,
            0.216178402,
            0.215448856,
            0.214719296,
            0.21398975,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.21400699,
            0.214736536,
            0.215466082,
            0.216195643,
            0.216925189,
            0.217654735,
            0.218384281,
            0.219113827,
            0.219843388,
            0.220572934,
            0.22130248,
            0.22203204,
            0.222761586,
            0.223491132,
            0.224220678,
            0.224950224,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.224938735,
            0.224209189,
            0.223479643,
            0.222750098,
            0.222020537,
            0.221290991,
            0.220561445,
            0.219831899,
            0.219102353,
            0.218372792,
            0.217643246,
            0.2169137,
            0.216184139,
            0.215454593,
            0.214725047,
            0.213995501,
            0.214185059,
            0.21491462,
            0.215644166,
            0.216373712,
            0.217103258,
            0.217832819,
            0.218562365,
            0.219291911,
            0.220021456,
            0.220751017,
            0.221480563,
            0.222210109,
            0.222939655,
            0.223669216,
            0.224398762,
            0.225128308,
            0.225857854,
            0.226587415,
            0.227316961,
            0.228046507,
            0.228776053,
            0.229505613,
            0.230235159,
            0.230964705,
            0.231694251,
            0.232423812,
            0.233153358,
            0.233882904,
            0.23461245,
            0.235342011,
            0.236071557,
            0.236801103,
            0.237530649,
            0.23826021,
            0.238989756,
            0.239719301,
            0.240448847,
            0.241178393,
            0.241907954,
            0.2426375,
            0.243367046,
            0.244096592,
            0.244826153,
            0.245555699,
            0.246285245,
            0.247014791,
            0.247744352,
            0.248473898,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249111533,
            0.249841094,
            0.250570655,
            0.251300186,
            0.252029747,
            0.252759308,
            0.253488868,
            0.2542184,
            0.25494796,
            0.255677521,
            0.256407082,
            0.257136613,
            0.257866174,
            0.258595735,
            0.259325266,
            0.260054827
          ],
          [
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.248381987,
            0.247652441,
            0.24692288,
            0.246193334,
            0.245463789,
            0.244734243,
            0.244004682,
            0.243275136,
            0.24254559,
            0.241816044,
            0.241086483,
            0.240356937,
            0.239627391,
            0.238897845,
            0.238168284,
            0.237438738,
            0.236709192,
            0.235979646,
            0.235250086,
            0.23452054,
            0.233790994,
            0.233061448,
            0.232331887,
            0.231602341,
            0.230872795,
            0.230143249,
            0.229413688,
            0.228684142,
            0.227954596,
            0.22722505,
            0.226495504,
            0.225765944,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225852117,
            0.226581663,
            0.227311209,
            0.22804077,
            0.228770316,
            0.229499862,
            0.230229408,
            0.230958968,
            0.231688514,
            0.23241806,
            0.233147606,
            0.233877167,
            0.234606713,
            0.235336259,
            0.236065805,
            0.236795366,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.23751916,
            0.238248721,
            0.238978267,
            0.239707813,
            0.240437359,
            0.241166919,
            0.241896465,
            0.242626011,
            0.243355557,
            0.244085103,
            0.244814664,
            0.24554421,
            0.246273756,
            0.247003302,
            0.247732863,
            0.248462409,
            0.249191955,
            0.249921516,
            0.250651062,
            0.251380622,
            0.252110183,
            0.252839714,
            0.253569275,
            0.254298836,
            0.255028397,
            0.255757928,
            0.256487489,
            0.25721705,
            0.25794661,
            0.258676142,
            0.259405702,
            0.260135263,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.26006633,
            0.25933677,
            0.258607209,
            0.257877678,
            0.257148117,
            0.256418556,
            0.255688995,
            0.254959464,
            0.254229903,
            0.253500342,
            0.252770782,
            0.25204125,
            0.25131169,
            0.250582129,
            0.249852583,
            0.249123022,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.248134971,
            0.246675879,
            0.245216772,
            0.24375768,
            0.242298573,
            0.240839481,
            0.239380375,
            0.237921283,
            0.236462176,
            0.235003084,
            0.233543977,
            0.232084885,
            0.230625778,
            0.229166687,
            0.22770758,
            0.226248488,
            0.224789381,
            0.223330289,
            0.221871197,
            0.220412105,
            0.218952999,
            0.217493907,
            0.216034815,
            0.214575723,
            0.213116616,
            0.211657524,
            0.210198432,
            0.20873934,
            0.207280248,
            0.205821142,
            0.20436205,
            0.202902958,
            0.201616198,
            0.20064345,
            0.199670717,
            0.198697984,
            0.197725251,
            0.196752504,
            0.195779771,
            0.194807038,
            0.193834305,
            0.192861557,
            0.191888824,
            0.190916091,
            0.189943358,
            0.18897061,
            0.187997878,
            0.187025145,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.187101737,
            0.18807447,
            0.189047217,
            0.19001995,
            0.190992683,
            0.191965416,
            0.192938149,
            0.193910897,
            0.19488363,
            0.195856363,
            0.196829095,
            0.197801843,
            0.198774576,
            0.199747309,
            0.200720042,
            0.20169279,
            0.202489346,
            0.203218892,
            0.203948438,
            0.204677984,
            0.20540753,
            0.206137076,
            0.206866622,
            0.207596168,
            0.208325714,
            0.20905526,
            0.209784806,
            0.210514352,
            0.211243898,
            0.211973444,
            0.21270299,
            0.213432536,
            0.214162081,
            0.214891642,
            0.215621188,
            0.216350734,
            0.21708028,
            0.217809841,
            0.218539387,
            0.219268933,
            0.219998479,
            0.22072804,
            0.221457586,
            0.222187132,
            0.222916678,
            0.223646238,
            0.224375784,
            0.22510533,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225237459,
            0.224507898,
            0.223778352,
            0.223048806,
            0.22231926,
            0.221589714,
            0.220860153,
            0.220130607,
            0.219401062,
            0.218671516,
            0.217941955,
            0.217212409,
            0.216482863,
            0.215753317,
            0.215023756,
            0.21429421,
            0.213564664,
            0.212835118,
            0.212105572,
            0.211376026,
            0.21064648,
            0.209916934,
            0.209187388,
            0.208457842,
            0.207728297,
            0.206998751,
            0.206269205,
            0.205539659,
            0.204810113,
            0.204080567,
            0.203351021,
            0.202621475,
            0.201868951,
            0.200896218,
            0.199923471,
            0.198950738,
            0.197978005,
            0.197005272,
            0.196032524,
            0.195059791,
            0.194087058,
            0.193114325,
            0.192141593,
            0.191168845,
            0.190196112,
            0.189223379,
            0.188250631,
            0.187277898,
            0.186305165,
            0.18556796,
            0.184838414,
            0.184108853,
            0.183379307,
            0.182649761,
            0.181920215,
            0.181190655,
            0.180461109,
            0.179731563,
            0.179002017,
            0.178272456,
            0.17754291,
            0.176813364,
            0.176083818,
            0.175354257,
            0.174624711,
            0.173280507,
            0.171821401,
            0.170362309,
            0.168903202,
            0.16744411,
            0.165985003,
            0.164525911,
            0.163066804,
            0.161607713,
            0.160148606,
            0.158689514,
            0.157230407,
            0.155771315,
            0.154312208,
            0.152853116,
            0.15139401,
            0.149237916,
            0.146806091,
            0.144374251,
            0.141942427,
            0.139510587,
            0.137078762,
            0.134646922,
            0.132215098,
            0.129783258,
            0.127351433,
            0.124919601,
            0.122487769,
            0.120055936,
            0.117624104,
            0.115192272,
            0.11276044,
            0.110903054,
            0.109443955,
            0.107984856,
            0.106525756,
            0.105066657,
            0.103607558,
            0.102148458,
            0.100689359,
            0.0992302597,
            0.0977711678,
            0.096312061,
            0.0948529691,
            0.0933938622,
            0.0919347703,
            0.0904756635,
            0.0890165716,
            0.0878963917,
            0.0871668458,
            0.0864372924,
            0.0857077464,
            0.084978193,
            0.0842486471,
            0.0835190937,
            0.0827895477,
            0.0820599943,
            0.0813304484,
            0.080600895,
            0.079871349,
            0.0791417956,
            0.0784122497,
            0.0776827037,
            0.0769531503,
            0.0758942515,
            0.0741919652,
            0.0724896863,
            0.0707874,
            0.0690851212,
            0.0673828423,
            0.065680556,
            0.0639782697,
            0.0622759908,
            0.0605737083,
            0.0588714257,
            0.0571691431,
            0.0554668605,
            0.0537645817,
            0.0520622954,
            0.0503600165,
            0.0487094335,
            0.0472503342,
            0.0457912348,
            0.0443321355,
            0.0428730361,
            0.0414139368,
            0.0399548374,
            0.0384957381,
            0.0370366387,
            0.0355775394,
            0.03411844,
            0.0326593406,
            0.0312002432,
            0.0297411438,
            0.0282820445,
            0.0268229451,
            0.0254270341,
            0.0246974863,
            0.0239679366,
            0.023238387,
            0.0225088373,
            0.0217792876,
            0.0210497379,
            0.0203201883,
            0.0195906386,
            0.0188610889,
            0.0181315392,
            0.0174019895,
            0.0166724399,
            0.0159428902,
            0.0152133405,
            0.0144837908,
            0.0137542412,
            0.0130246924,
            0.0122951427,
            0.0115655931,
            0.0108360434,
            0.0101064937,
            0.00937694404,
            0.00864739437,
            0.00791784469,
            0.00718829548,
            0.0064587458,
            0.00572919659,
            0.00499964692,
            0.00427009724,
            0.00354054756,
            0.00281099789,
            0.00208144821,
            0.00114892679,
            0.000176194008,
            -0.000796538778,
            -0.00176927168,
            -0.00274200458,
            -0.00371473702,
            -0.00468746992,
            -0.00566020282,
            -0.00663293526,
            -0.00760566816,
            -0.00857840106,
            -0.00955113396,
            -0.0105238669,
            -0.0114965998,
            -0.0124693327,
            -0.0134420646,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0141505515,
            -0.0148801012,
            -0.0156096509,
            -0.0163391996,
            -0.0170687493,
            -0.017798299,
            -0.0185278486,
            -0.0192573983,
            -0.019986948,
            -0.0207164977,
            -0.0214460474,
            -0.022175597,
            -0.0229051467,
            -0.0236346964,
            -0.0243642461,
            -0.0250937957,
            -0.0258233454,
            -0.0265528951,
            -0.0272824448,
            -0.0280119944,
            -0.0287415422,
            -0.0294710919,
            -0.0302006416,
            -0.0309301913,
            -0.031659741,
            -0.0323892906,
            -0.0331188403,
            -0.03384839,
            -0.0345779397,
            -0.0353074893,
            -0.036037039,
            -0.0367665887,
            -0.0374961384,
            -0.038225688,
            -0.0389552377,
            -0.0396847874,
            -0.0404143371,
            -0.0411438867,
            -0.0418734364,
            -0.0426029861,
            -0.0433325358,
            -0.0440620854,
            -0.0447916351,
            -0.0455211848,
            -0.0462507345,
            -0.0469802842,
            -0.0477098338,
            -0.0484393835,
            -0.0491689332,
            -0.0498984829,
            -0.0506280325,
            -0.0513575822,
            -0.0520871282,
            -0.0528166816,
            -0.0535462275,
            -0.0542757809,
            -0.0550053269,
            -0.0557348765,
            -0.0564644262,
            -0.0571939759,
            -0.0579235256,
            -0.0586530752,
            -0.0593826249,
            -0.0601121746,
            -0.06091832,
            -0.0626206025,
            -0.0643228814,
            -0.0660251677,
            -0.0677274466,
            -0.0694297329,
            -0.0711320117,
            -0.072834298,
            -0.0745365769,
            -0.0762388557,
            -0.077941142,
            -0.0796434283,
            -0.0813457072,
            -0.083047986,
            -0.0847502723,
            -0.0864525512,
            -0.0881548375,
            -0.0889303386,
            -0.089659892,
            -0.090389438,
            -0.0911189914,
            -0.0918485373,
            -0.0925780907,
            -0.0933076367,
            -0.0940371901,
            -0.094766736,
            -0.0954962894,
            -0.0962258354,
            -0.0969553888,
            -0.0976849347,
            -0.0984144881,
            -0.0991440341,
            -0.0998735875,
            -0.100603133,
            -0.101332679,
            -0.102062225,
            -0.102791779,
            -0.103521325,
            -0.104250871,
            -0.104980417,
            -0.10570997,
            -0.106439516,
            -0.107169062,
            -0.107898608,
            -0.108628161,
            -0.109357707,
            -0.110087253,
            -0.110816799,
            -0.111546353,
            -0.112275898,
            -0.113005452,
            -0.113735005,
            -0.114464551,
            -0.115194105,
            -0.115923658,
            -0.116653211,
            -0.117382757,
            -0.118112311,
            -0.118841864,
            -0.119571418,
            -0.120300964,
            -0.121030517,
            -0.12176007,
            -0.122489616,
            -0.12321917,
            -0.124507852,
            -0.126210138,
            -0.127912417,
            -0.129614711,
            -0.13131699,
            -0.133019269,
            -0.134721562,
            -0.136423841,
            -0.13812612,
            -0.139828414,
            -0.141530693,
            -0.143232971,
            -0.144935265,
            -0.146637544,
            -0.148339838,
            -0.150042117,
            -0.151307821,
            -0.152037367,
            -0.152766913,
            -0.153496474,
            -0.15422602,
            -0.154955566,
            -0.155685112,
            -0.156414673,
            -0.157144219,
            -0.157873765,
            -0.158603311,
            -0.159332871,
            -0.160062417,
            -0.160791963,
            -0.161521509,
            -0.162251055,
            -0.162980616,
            -0.163710162,
            -0.164439708,
            -0.165169254,
            -0.165898815,
            -0.166628361,
            -0.167357907,
            -0.168087453,
            -0.168817014,
            -0.169546559,
            -0.170276105,
            -0.171005651,
            -0.171735212,
            -0.172464758,
            -0.173194304,
            -0.17392385,
            -0.174653411,
            -0.175382957,
            -0.176112503,
            -0.176842049,
            -0.17757161,
            -0.178301156,
            -0.179030702,
            -0.179760247,
            -0.180489808,
            -0.181219354,
            -0.1819489,
            -0.182678446,
            -0.183408007,
            -0.184137553,
            -0.184867099,
            -0.185596645,
            -0.186326206,
            -0.187055752,
            -0.187785298,
            -0.188514844,
            -0.189244404,
            -0.18997395,
            -0.190703496,
            -0.191433042,
            -0.192162603,
            -0.192892149,
            -0.193621695,
            -0.194351241,
            -0.195080787,
            -0.195810348,
            -0.196539894,
            -0.19726944,
            -0.197998986,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197441772,
            -0.196712226,
            -0.19598268,
            -0.195253134,
            -0.194523573,
            -0.193794027,
            -0.193064481,
            -0.192334935,
            -0.191605374,
            -0.190875828,
            -0.190146282,
            -0.189416736,
            -0.188687176,
            -0.18795763,
            -0.187228084,
            -0.186498538,
            -0.185768977,
            -0.185039431,
            -0.184309885,
            -0.183580339,
            -0.182850778,
            -0.182121232,
            -0.181391686,
            -0.18066214,
            -0.179932594,
            -0.179203033,
            -0.178473487,
            -0.177743942,
            -0.177014396,
            -0.176284835,
            -0.175555289,
            -0.174825743,
            -0.174096197,
            -0.173366636,
            -0.17263709,
            -0.171907544,
            -0.171177998,
            -0.170448437,
            -0.169718891,
            -0.168989345,
            -0.168259799,
            -0.167530239,
            -0.166800693,
            -0.166071147,
            -0.165341601,
            -0.16461204,
            -0.163882494,
            -0.163152948,
            -0.162101701,
            -0.160642609,
            -0.159183502,
            -0.15772441,
            -0.156265303,
            -0.154806212,
            -0.153347105,
            -0.151888013,
            -0.150428906,
            -0.148969814,
            -0.147510707,
            -0.146051615,
            -0.144592524,
            -0.143133417,
            -0.14167431,
            -0.140215218,
            -0.13890931,
            -0.137936577,
            -0.136963829,
            -0.135991096,
            -0.135018364,
            -0.134045631,
            -0.133072898,
            -0.132100165,
            -0.131127432,
            -0.130154699,
            -0.129181951,
            -0.128209218,
            -0.127236485,
            -0.126263753,
            -0.12529102,
            -0.124318287,
            -0.123391509,
            -0.122661956,
            -0.121932402,
            -0.121202849,
            -0.120473303,
            -0.119743749,
            -0.119014196,
            -0.118284643,
            -0.117555097,
            -0.116825543,
            -0.11609599,
            -0.115366444,
            -0.114636891,
            -0.113907337,
            -0.113177784,
            -0.112448238,
            -0.111810595,
            -0.112540148,
            -0.113269702,
            -0.113999248,
            -0.114728801,
            -0.115458354,
            -0.1161879,
            -0.116917454,
            -0.117647007,
            -0.118376561,
            -0.119106114,
            -0.11983566,
            -0.120565213,
            -0.121294767,
            -0.122024313,
            -0.122753866,
            -0.123483419,
            -0.124440834,
            -0.125413567,
            -0.1263863,
            -0.127359033,
            -0.12833178,
            -0.129304513,
            -0.130277246,
            -0.131249979,
            -0.132222712,
            -0.133195445,
            -0.134168178,
            -0.135140911,
            -0.136113644,
            -0.137086391,
            -0.138059124,
            -0.139031857,
            -0.139807358,
            -0.140536904,
            -0.141266465,
            -0.141996011,
            -0.142725557,
            -0.143455103,
            -0.144184664,
            -0.14491421,
            -0.145643756,
            -0.146373302,
            -0.147102863,
            -0.147832409,
            -0.148561954,
            -0.1492915,
            -0.150021046,
            -0.150750607,
            -0.151979923,
            -0.153439015,
            -0.154898122,
            -0.156357229,
            -0.157816321,
            -0.159275413,
            -0.160734519,
            -0.162193611,
            -0.163652718,
            -0.16511181,
            -0.166570917,
            -0.168030009,
            -0.169489115,
            -0.170948207,
            -0.172407314,
            -0.173866406,
            -0.175325513,
            -0.176784605,
            -0.178243712,
            -0.179702803,
            -0.18116191,
            -0.182621002,
            -0.184080109,
            -0.185539201,
            -0.186998308,
            -0.1884574,
            -0.189916506,
            -0.191375598,
            -0.192834705,
            -0.194293797,
            -0.195752904,
            -0.197211996,
            -0.19846046,
            -0.199433193,
            -0.200405926,
            -0.201378658,
            -0.202351391,
            -0.203324124,
            -0.204296857,
            -0.20526959,
            -0.206242323,
            -0.207215056,
            -0.208187789,
            -0.209160522,
            -0.210133255,
            -0.211105987,
            -0.21207872,
            -0.213051453,
            -0.21417354,
            -0.215632647,
            -0.217091739,
            -0.218550846,
            -0.220009938,
            -0.221469045,
            -0.222928137,
            -0.224387243,
            -0.225846335,
            -0.227305442,
            -0.228764534,
            -0.230223641,
            -0.231682733,
            -0.23314184,
            -0.234600931,
            -0.236060038,
            -0.237387016,
            -0.238116562,
            -0.238846108,
            -0.239575654,
            -0.240305215,
            -0.241034761,
            -0.241764307,
            -0.242493853,
            -0.243223414,
            -0.24395296,
            -0.244682506,
            -0.245412052,
            -0.246141613,
            -0.246871158,
            -0.247600704,
            -0.24833025,
            -0.249059811,
            -0.249789357,
            -0.250518918,
            -0.251248449,
            -0.25197801,
            -0.252707571,
            -0.253437102,
            -0.254166663,
            -0.254896224,
            -0.255625755,
            -0.256355315,
            -0.257084876,
            -0.257814407,
            -0.258543968,
            -0.259273529,
            -0.26000309,
            -0.260732621,
            -0.261688113,
            -0.262660861,
            -0.263633579,
            -0.264606327,
            -0.265579045,
            -0.266551793,
            -0.267524511,
            -0.268497229,
            -0.269469976,
            -0.270442694,
            -0.271415442,
            -0.27238816,
            -0.273360908,
            -0.274333626,
            -0.275306344,
            -0.276279092,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276872694,
            -0.277602226,
            -0.278331786,
            -0.279061347,
            -0.279790878,
            -0.280520439,
            -0.28124997,
            -0.281979531,
            -0.282709092,
            -0.283438623,
            -0.284168184,
            -0.284897745,
            -0.285627276,
            -0.286356837,
            -0.287086368,
            -0.287815928,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288016975,
            -0.287287444,
            -0.286557883,
            -0.285828352,
            -0.285098791,
            -0.28436923,
            -0.283639699,
            -0.282910138,
            -0.282180578,
            -0.281451046,
            -0.280721486,
            -0.279991955,
            -0.279262394,
            -0.278532833,
            -0.277803302,
            -0.277073741,
            -0.276302069,
            -0.275329322,
            -0.274356604,
            -0.273383886,
            -0.272411138,
            -0.27143842,
            -0.270465672,
            -0.269492954,
            -0.268520206,
            -0.267547488,
            -0.26657477,
            -0.265602022,
            -0.264629304,
            -0.263656557,
            -0.262683839,
            -0.261711091,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260112226,
            -0.259382665,
            -0.258653104,
            -0.257923573,
            -0.257194012,
            -0.256464452,
            -0.255734921,
            -0.25500536,
            -0.254275799,
            -0.253546268,
            -0.252816707,
            -0.252087146,
            -0.251357615,
            -0.250628054,
            -0.249898508,
            -0.249168947,
            -0.24785921,
            -0.246400103,
            -0.244941011,
            -0.243481904,
            -0.242022812,
            -0.240563706,
            -0.239104614,
            -0.237645507,
            -0.236186415,
            -0.234727308,
            -0.233268216,
            -0.231809109,
            -0.230350018,
            -0.228890926,
            -0.227431819,
            -0.225972712,
            -0.224350855,
            -0.222648576,
            -0.220946297,
            -0.219244018,
            -0.217541724,
            -0.215839446,
            -0.214137167,
            -0.212434888,
            -0.210732594,
            -0.209030315,
            -0.207328036,
            -0.205625758,
            -0.203923464,
            -0.202221185,
            -0.200518906,
            -0.198816627,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197734743,
            -0.197005197,
            -0.196275651,
            -0.195546091,
            -0.194816545,
            -0.194086999,
            -0.193357453,
            -0.192627892,
            -0.191898346,
            -0.1911688,
            -0.190439254,
            -0.189709693,
            -0.188980147,
            -0.188250601,
            -0.187521055,
            -0.186791509,
            -0.185849413,
            -0.184390306,
            -0.182931215,
            -0.181472108,
            -0.180013016,
            -0.178553909,
            -0.177094817,
            -0.17563571,
            -0.174176618,
            -0.172717512,
            -0.17125842,
            -0.169799313,
            -0.168340221,
            -0.166881114,
            -0.165422022,
            -0.163962916,
            -0.162503824,
            -0.161044717,
            -0.159585625,
            -0.158126518,
            -0.156667426,
            -0.155208319,
            -0.153749228,
            -0.152290121,
            -0.150831029,
            -0.149371922,
            -0.14791283,
            -0.146453723,
            -0.144994631,
            -0.143535525,
            -0.142076433,
            -0.140617326,
            -0.139177382,
            -0.138204649,
            -0.137231916,
            -0.136259183,
            -0.13528645,
            -0.134313703,
            -0.13334097,
            -0.132368237,
            -0.131395504,
            -0.130422771,
            -0.129450038,
            -0.128477305,
            -0.127504572,
            -0.126531824,
            -0.125559092,
            -0.124586359,
            -0.123613626,
            -0.12286301,
            -0.122133464,
            -0.12140391,
            -0.120674357,
            -0.119944803,
            -0.119215257,
            -0.118485704,
            -0.117756151,
            -0.117026597,
            -0.116297051,
            -0.115567498,
            -0.114837945,
            -0.114108399,
            -0.113378845,
            -0.112649292,
            -0.111919738,
            -0.111190192,
            -0.110460646,
            -0.1097311,
            -0.109001547,
            -0.108272001,
            -0.107542455,
            -0.106812909,
            -0.106083356,
            -0.10535381,
            -0.104624264,
            -0.103894718,
            -0.103165165,
            -0.102435619,
            -0.101706073,
            -0.100976527,
            -0.100246973,
            -0.0990348905,
            -0.0975757912,
            -0.0961166918,
            -0.0946575925,
            -0.0931984931,
            -0.0917393938,
            -0.0902802944,
            -0.0888211951,
            -0.0873620957,
            -0.0859029964,
            -0.084443897,
            -0.0829847977,
            -0.0815256983,
            -0.080066599,
            -0.0786074996,
            -0.0771484077,
            -0.0755590945,
            -0.0738568157,
            -0.0721545294,
            -0.0704522505,
            -0.0687499642,
            -0.0670476854,
            -0.0653453991,
            -0.0636431202,
            -0.0619408377,
            -0.0602385551,
            -0.0585362725,
            -0.0568339899,
            -0.0551317073,
            -0.0534294248,
            -0.0517271422,
            -0.0500248596,
            -0.0484221503,
            -0.046963051,
            -0.0455039516,
            -0.0440448523,
            -0.0425857529,
            -0.0411266536,
            -0.0396675542,
            -0.0382084548,
            -0.0367493555,
            -0.0352902561,
            -0.0338311568,
            -0.0323720574,
            -0.0309129581,
            -0.0294538587,
            -0.0279947594,
            -0.0265356619,
            -0.0250076279,
            -0.0233053453,
            -0.0216030627,
            -0.0199007802,
            -0.0181984976,
            -0.016496215,
            -0.0147939334,
            -0.0130916517,
            -0.0113893691,
            -0.00968708657,
            -0.00798480399,
            -0.00628252141,
            -0.00458023883,
            -0.00287795626,
            -0.00117567554,
            0.000526607037,
            0.0021905934,
            0.00364969252,
            0.00510879187,
            0.00656789076,
            0.00802699011,
            0.00948608946,
            0.0109451888,
            0.0124042872,
            0.0138633866,
            0.0153224859,
            0.0167815853,
            0.0182406846,
            0.019699784,
            0.0211588833,
            0.0226179827,
            0.0240770802,
            0.025559159,
            0.0277478062,
            0.0299364552,
            0.0321251042,
            0.0343137532,
            0.0365024023,
            0.0386910513,
            0.0408797003,
            0.0430683494,
            0.0452569947,
            0.0474456474,
            0.0496342927,
            0.0518229455,
            0.0540115908,
            0.0562002435,
            0.0583888888,
            0.0605775379,
            0.0623257756,
            0.0640280619,
            0.0657303408,
            0.0674326271,
            0.0691349059,
            0.0708371848,
            0.0725394711,
            0.0742417574,
            0.0759440362,
            0.0776463151,
            0.0793486014,
            0.0810508803,
            0.0827531666,
            0.0844554454,
            0.0861577317,
            0.0878600106,
            0.0893727243,
            0.0908318236,
            0.092290923,
            0.0937500224,
            0.0952091217,
            0.0966682211,
            0.0981273204,
            0.0995864198,
            0.101045519,
            0.102504618,
            0.103963718,
            0.105422817,
            0.106881917,
            0.108341016,
            0.109800115,
            0.111259215,
            0.112241521,
            0.112971067,
            0.113700621,
            0.114430167,
            0.11515972,
            0.115889266,
            0.11661882,
            0.117348365,
            0.118077919,
            0.118807465,
            0.119537018,
            0.120266564,
            0.120996118,
            0.121725664,
            0.122455217,
            0.123184763,
            0.124042608,
            0.125015348,
            0.125988066,
            0.126960814,
            0.127933532,
            0.12890628,
            0.129878998,
            0.130851731,
            0.131824464,
            0.132797197,
            0.133769929,
            0.134742662,
            0.135715395,
            0.136688128,
            0.137660861,
            0.138633594,
            0.13950868,
            0.140238225,
            0.140967771,
            0.141697332,
            0.142426878,
            0.143156424,
            0.14388597,
            0.144615531,
            0.145345077,
            0.146074623,
            0.146804169,
            0.147533715,
            0.148263276,
            0.148992822,
            0.149722368,
            0.150451913,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150997654,
            0.1517272,
            0.15245676,
            0.153186306,
            0.153915852,
            0.154645413,
            0.155374959,
            0.15610452,
            0.156834066,
            0.157563627,
            0.158293173,
            0.159022734,
            0.15975228,
            0.16048184,
            0.161211386,
            0.161940947,
            0.162670493,
            0.163400039,
            0.164129585,
            0.164859131,
            0.165588677,
            0.166318223,
            0.167047769,
            0.167777315,
            0.168506861,
            0.169236407,
            0.169965953,
            0.170695499,
            0.171425045,
            0.17215459,
            0.172884136,
            0.173613682,
            0.174343228,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174797043,
            0.175526604,
            0.17625615,
            0.176985696,
            0.177715242,
            0.178444803,
            0.179174349,
            0.179903895,
            0.180633441,
            0.181362987,
            0.182092547,
            0.182822093,
            0.183551639,
            0.184281185,
            0.185010746,
            0.185740292,
            0.186534941,
            0.187507689,
            0.188480422,
            0.189453155,
            0.190425888,
            0.191398636,
            0.192371368,
            0.193344101,
            0.194316834,
            0.195289582,
            0.196262315,
            0.197235048,
            0.198207781,
            0.199180514,
            0.200153261,
            0.201125994,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201217905,
            0.200245172,
            0.199272439,
            0.198299691,
            0.197326958,
            0.196354225,
            0.195381492,
            0.194408745,
            0.193436012,
            0.192463279,
            0.191490546,
            0.190517798,
            0.189545065,
            0.188572332,
            0.187599599,
            0.186626852,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186649829,
            0.187622577,
            0.18859531,
            0.189568043,
            0.190540776,
            0.191513523,
            0.192486256,
            0.193458989,
            0.194431722,
            0.19540447,
            0.196377203,
            0.197349936,
            0.198322669,
            0.199295416,
            0.200268149,
            0.201240882,
            0.202150434,
            0.20287998,
            0.203609526,
            0.204339072,
            0.205068618,
            0.205798164,
            0.20652771,
            0.207257256,
            0.207986802,
            0.208716348,
            0.209445894,
            0.21017544,
            0.210904986,
            0.211634532,
            0.212364078,
            0.213093624,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213174045,
            0.212444499,
            0.211714953,
            0.210985407,
            0.210255861,
            0.209526315,
            0.208796769,
            0.208067223,
            0.207337677,
            0.206608132,
            0.205878586,
            0.20514904,
            0.204419494,
            0.203689948,
            0.202960402,
            0.202230856,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.202328503,
            0.203058049,
            0.203787595,
            0.204517141,
            0.205246687,
            0.205976233,
            0.206705779,
            0.207435325,
            0.208164871,
            0.208894417,
            0.209623963,
            0.210353509,
            0.211083055,
            0.2118126,
            0.212542146,
            0.213271692,
            0.214001238,
            0.214730799,
            0.215460345,
            0.216189891,
            0.216919437,
            0.217648983,
            0.218378544,
            0.21910809,
            0.219837636,
            0.220567182,
            0.221296743,
            0.222026289,
            0.222755834,
            0.22348538,
            0.224214941,
            0.224944487,
            0.225674033,
            0.226403579,
            0.22713314,
            0.227862686,
            0.228592232,
            0.229321778,
            0.230051339,
            0.230780885,
            0.231510431,
            0.232239977,
            0.232969537,
            0.233699083,
            0.234428629,
            0.235158175,
            0.235887736,
            0.236617282,
            0.237346828,
            0.238076374,
            0.238805935,
            0.239535481,
            0.240265027,
            0.240994573,
            0.241724133,
            0.242453679,
            0.243183225,
            0.243912771,
            0.244642332,
            0.245371878,
            0.246101424,
            0.24683097,
            0.247560531,
            0.248290077
          ],
          [
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.247744352,
            0.246285245,
            0.244826153,
            0.243367046,
            0.241907954,
            0.240448847,
            0.238989756,
            0.237530649,
            0.236071557,
            0.23461245,
            0.233153358,
            0.231694251,
            0.230235159,
            0.228776053,
            0.227316961,
            0.225857854,
            0.224944487,
            0.224214941,
            0.22348538,
            0.222755834,
            0.222026289,
            0.221296743,
            0.220567182,
            0.219837636,
            0.21910809,
            0.218378544,
            0.217648983,
            0.216919437,
            0.216189891,
            0.215460345,
            0.214730799,
            0.214001238,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213995501,
            0.214725047,
            0.215454593,
            0.216184139,
            0.2169137,
            0.217643246,
            0.218372792,
            0.219102353,
            0.219831899,
            0.220561445,
            0.221290991,
            0.222020537,
            0.222750098,
            0.223479643,
            0.224209189,
            0.224938735,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225576386,
            0.226305932,
            0.227035478,
            0.227765024,
            0.228494585,
            0.229224131,
            0.229953676,
            0.230683222,
            0.231412783,
            0.232142329,
            0.232871875,
            0.233601421,
            0.234330982,
            0.235060528,
            0.235790074,
            0.23651962,
            0.237249166,
            0.236531109,
            0.235801563,
            0.235072017,
            0.234342471,
            0.23361291,
            0.232883364,
            0.232153818,
            0.231424272,
            0.230694711,
            0.229965165,
            0.229235619,
            0.228506073,
            0.227776513,
            0.227046967,
            0.226317421,
            0.225587875,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225846365,
            0.226575926,
            0.227305472,
            0.228035018,
            0.228764564,
            0.229494125,
            0.230223671,
            0.230953217,
            0.231682763,
            0.232412323,
            0.233141869,
            0.233871415,
            0.234600961,
            0.235330522,
            0.236060068,
            0.236789614,
            0.23751916,
            0.238248721,
            0.238978267,
            0.239707813,
            0.240437359,
            0.241166919,
            0.241896465,
            0.242626011,
            0.243355557,
            0.244085103,
            0.244814664,
            0.24554421,
            0.246273756,
            0.247003302,
            0.247732863,
            0.248462409,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.248301566,
            0.24757202,
            0.246842459,
            0.246112913,
            0.245383367,
            0.244653821,
            0.24392426,
            0.243194714,
            0.242465168,
            0.241735622,
            0.241006061,
            0.240276515,
            0.23954697,
            0.238817424,
            0.238087863,
            0.237358317,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.236812592,
            0.236083046,
            0.2353535,
            0.234623939,
            0.233894393,
            0.233164847,
            0.232435301,
            0.23170574,
            0.230976194,
            0.230246648,
            0.229517102,
            0.228787541,
            0.228057995,
            0.227328449,
            0.226598904,
            0.225869343,
            0.224789381,
            0.223330289,
            0.221871197,
            0.220412105,
            0.218952999,
            0.217493907,
            0.216034815,
            0.214575723,
            0.213116616,
            0.211657524,
            0.210198432,
            0.20873934,
            0.207280248,
            0.205821142,
            0.20436205,
            0.202902958,
            0.201616198,
            0.20064345,
            0.199670717,
            0.198697984,
            0.197725251,
            0.196752504,
            0.195779771,
            0.194807038,
            0.193834305,
            0.192861557,
            0.191888824,
            0.190916091,
            0.189943358,
            0.18897061,
            0.187997878,
            0.187025145,
            0.186107934,
            0.185378388,
            0.184648842,
            0.183919296,
            0.183189735,
            0.182460189,
            0.181730643,
            0.181001097,
            0.180271536,
            0.17954199,
            0.178812444,
            0.178082898,
            0.177353337,
            0.176623791,
            0.175894246,
            0.1751647,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.175957441,
            0.17765972,
            0.179362014,
            0.181064293,
            0.182766587,
            0.184468865,
            0.186171159,
            0.187873438,
            0.189575732,
            0.191278011,
            0.192980289,
            0.194682583,
            0.196384877,
            0.198087156,
            0.199789435,
            0.201491728,
            0.202489346,
            0.203218892,
            0.203948438,
            0.204677984,
            0.20540753,
            0.206137076,
            0.206866622,
            0.207596168,
            0.208325714,
            0.20905526,
            0.209784806,
            0.210514352,
            0.211243898,
            0.211973444,
            0.21270299,
            0.213432536,
            0.214162081,
            0.214891642,
            0.215621188,
            0.216350734,
            0.21708028,
            0.217809841,
            0.218539387,
            0.219268933,
            0.219998479,
            0.22072804,
            0.221457586,
            0.222187132,
            0.222916678,
            0.223646238,
            0.224375784,
            0.22510533,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225237459,
            0.224507898,
            0.223778352,
            0.223048806,
            0.22231926,
            0.221589714,
            0.220860153,
            0.220130607,
            0.219401062,
            0.218671516,
            0.217941955,
            0.217212409,
            0.216482863,
            0.215753317,
            0.215023756,
            0.21429421,
            0.213564664,
            0.212835118,
            0.212105572,
            0.211376026,
            0.21064648,
            0.209916934,
            0.209187388,
            0.208457842,
            0.207728297,
            0.206998751,
            0.206269205,
            0.205539659,
            0.204810113,
            0.204080567,
            0.203351021,
            0.202621475,
            0.201868951,
            0.200896218,
            0.199923471,
            0.198950738,
            0.197978005,
            0.197005272,
            0.196032524,
            0.195059791,
            0.194087058,
            0.193114325,
            0.192141593,
            0.191168845,
            0.190196112,
            0.189223379,
            0.188250631,
            0.187277898,
            0.186305165,
            0.18556796,
            0.184838414,
            0.184108853,
            0.183379307,
            0.182649761,
            0.181920215,
            0.181190655,
            0.180461109,
            0.179731563,
            0.179002017,
            0.178272456,
            0.17754291,
            0.176813364,
            0.176083818,
            0.175354257,
            0.174624711,
            0.173280507,
            0.171821401,
            0.170362309,
            0.168903202,
            0.16744411,
            0.165985003,
            0.164525911,
            0.163066804,
            0.161607713,
            0.160148606,
            0.158689514,
            0.157230407,
            0.155771315,
            0.154312208,
            0.152853116,
            0.15139401,
            0.149760664,
            0.148058385,
            0.146356106,
            0.144653827,
            0.142951533,
            0.141249254,
            0.139546975,
            0.137844697,
            0.136142403,
            0.134440124,
            0.132737845,
            0.131035566,
            0.129333273,
            0.127630994,
            0.125928715,
            0.124226436,
            0.122236922,
            0.120048277,
            0.117859624,
            0.115670979,
            0.113482326,
            0.111293681,
            0.109105036,
            0.106916383,
            0.104727738,
            0.102539085,
            0.10035044,
            0.0981617868,
            0.0959731415,
            0.0937844887,
            0.0915958434,
            0.0894071907,
            0.0878963917,
            0.0871668458,
            0.0864372924,
            0.0857077464,
            0.084978193,
            0.0842486471,
            0.0835190937,
            0.0827895477,
            0.0820599943,
            0.0813304484,
            0.080600895,
            0.079871349,
            0.0791417956,
            0.0784122497,
            0.0776827037,
            0.0769531503,
            0.0758942515,
            0.0741919652,
            0.0724896863,
            0.0707874,
            0.0690851212,
            0.0673828423,
            0.065680556,
            0.0639782697,
            0.0622759908,
            0.0605737083,
            0.0588714257,
            0.0571691431,
            0.0554668605,
            0.0537645817,
            0.0520622954,
            0.0503600165,
            0.0488645323,
            0.0481349826,
            0.0474054329,
            0.0466758832,
            0.0459463336,
            0.0452167839,
            0.0444872379,
            0.0437576845,
            0.0430281386,
            0.0422985889,
            0.0415690392,
            0.0408394858,
            0.0401099399,
            0.0393803902,
            0.0386508405,
            0.0379212908,
            0.0371917412,
            0.0364621915,
            0.0357326418,
            0.0350030921,
            0.0342735425,
            0.0335439928,
            0.0328144431,
            0.0320848934,
            0.0313553438,
            0.0306257941,
            0.0298962444,
            0.0291666947,
            0.0284371451,
            0.0277075954,
            0.0269780457,
            0.026248496,
            0.0255189463,
            0.0240885708,
            0.0226294715,
            0.0211703721,
            0.0197112728,
            0.0182521734,
            0.0167930741,
            0.0153339747,
            0.0138748754,
            0.012415777,
            0.0109566776,
            0.00949757919,
            0.00803847983,
            0.00657938048,
            0.00512028113,
            0.00366118178,
            0.00220208243,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00139402482,
            0.000421292032,
            -0.000551440753,
            -0.00152417365,
            -0.00249690656,
            -0.00346963899,
            -0.00444237189,
            -0.0054151048,
            -0.00638783723,
            -0.00736057013,
            -0.00833330303,
            -0.00930603594,
            -0.0102787688,
            -0.0112515017,
            -0.0122242346,
            -0.0131969666,
            -0.0143918199,
            -0.0158509184,
            -0.0173100177,
            -0.0187691171,
            -0.0202282164,
            -0.0216873158,
            -0.0231464151,
            -0.0246055145,
            -0.026064612,
            -0.0275237113,
            -0.0289828107,
            -0.03044191,
            -0.0319010094,
            -0.0333601087,
            -0.0348192081,
            -0.0362783074,
            -0.0374961384,
            -0.038225688,
            -0.0389552377,
            -0.0396847874,
            -0.0404143371,
            -0.0411438867,
            -0.0418734364,
            -0.0426029861,
            -0.0433325358,
            -0.0440620854,
            -0.0447916351,
            -0.0455211848,
            -0.0462507345,
            -0.0469802842,
            -0.0477098338,
            -0.0484393835,
            -0.0493680723,
            -0.0510703549,
            -0.0527726375,
            -0.05447492,
            -0.0561772026,
            -0.0578794852,
            -0.0595817678,
            -0.0612840503,
            -0.0629863292,
            -0.0646886155,
            -0.0663909018,
            -0.0680931807,
            -0.0697954595,
            -0.0714977458,
            -0.0732000247,
            -0.074902311,
            -0.0765279979,
            -0.0772575513,
            -0.0779870972,
            -0.0787166506,
            -0.0794461966,
            -0.08017575,
            -0.0809052959,
            -0.0816348493,
            -0.0823643953,
            -0.0830939412,
            -0.0838234946,
            -0.084553048,
            -0.085282594,
            -0.0860121399,
            -0.0867416933,
            -0.0874712467,
            -0.0882007927,
            -0.0889303386,
            -0.089659892,
            -0.090389438,
            -0.0911189914,
            -0.0918485373,
            -0.0925780907,
            -0.0933076367,
            -0.0940371901,
            -0.094766736,
            -0.0954962894,
            -0.0962258354,
            -0.0969553888,
            -0.0976849347,
            -0.0984144881,
            -0.0991440341,
            -0.0998735875,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100511223,
            -0.101240769,
            -0.101970315,
            -0.102699868,
            -0.103429414,
            -0.10415896,
            -0.104888506,
            -0.10561806,
            -0.106347606,
            -0.107077152,
            -0.107806697,
            -0.108536243,
            -0.109265797,
            -0.109995343,
            -0.110724889,
            -0.111454442,
            -0.112743117,
            -0.114445403,
            -0.11614769,
            -0.117849976,
            -0.119552262,
            -0.121254548,
            -0.122956835,
            -0.124659121,
            -0.1263614,
            -0.128063694,
            -0.129765987,
            -0.131468266,
            -0.133170545,
            -0.134872839,
            -0.136575118,
            -0.138277411,
            -0.139543116,
            -0.140272662,
            -0.141002208,
            -0.141731769,
            -0.142461315,
            -0.143190861,
            -0.143920407,
            -0.144649968,
            -0.145379514,
            -0.146109059,
            -0.146838605,
            -0.147568166,
            -0.148297712,
            -0.149027258,
            -0.149756804,
            -0.15048635,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.151267603,
            -0.15272671,
            -0.154185802,
            -0.155644909,
            -0.157104,
            -0.158563107,
            -0.160022199,
            -0.161481306,
            -0.162940398,
            -0.164399505,
            -0.165858597,
            -0.167317703,
            -0.168776795,
            -0.170235902,
            -0.171694994,
            -0.173154101,
            -0.174561501,
            -0.175291047,
            -0.176020592,
            -0.176750138,
            -0.177479699,
            -0.178209245,
            -0.178938791,
            -0.179668337,
            -0.180397898,
            -0.181127444,
            -0.18185699,
            -0.182586536,
            -0.183316082,
            -0.184045643,
            -0.184775189,
            -0.185504735,
            -0.18623428,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.185768977,
            -0.185039431,
            -0.184309885,
            -0.183580339,
            -0.182850778,
            -0.182121232,
            -0.181391686,
            -0.18066214,
            -0.179932594,
            -0.179203033,
            -0.178473487,
            -0.177743942,
            -0.177014396,
            -0.176284835,
            -0.175555289,
            -0.174825743,
            -0.174096197,
            -0.173366636,
            -0.17263709,
            -0.171907544,
            -0.171177998,
            -0.170448437,
            -0.169718891,
            -0.168989345,
            -0.168259799,
            -0.167530239,
            -0.166800693,
            -0.166071147,
            -0.165341601,
            -0.16461204,
            -0.163882494,
            -0.163152948,
            -0.162101701,
            -0.160642609,
            -0.159183502,
            -0.15772441,
            -0.156265303,
            -0.154806212,
            -0.153347105,
            -0.151888013,
            -0.150428906,
            -0.148969814,
            -0.147510707,
            -0.146051615,
            -0.144592524,
            -0.143133417,
            -0.14167431,
            -0.140215218,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139031857,
            -0.138059124,
            -0.137086391,
            -0.136113644,
            -0.135140911,
            -0.134168178,
            -0.133195445,
            -0.132222712,
            -0.131249979,
            -0.130277246,
            -0.129304513,
            -0.12833178,
            -0.127359033,
            -0.1263863,
            -0.125413567,
            -0.124440834,
            -0.123590648,
            -0.124563381,
            -0.125536114,
            -0.126508847,
            -0.127481595,
            -0.128454328,
            -0.12942706,
            -0.130399793,
            -0.131372526,
            -0.132345259,
            -0.133317992,
            -0.134290725,
            -0.135263458,
            -0.136236206,
            -0.137208939,
            -0.138181672,
            -0.139154404,
            -0.139899269,
            -0.140628815,
            -0.141358376,
            -0.142087922,
            -0.142817467,
            -0.143547013,
            -0.144276574,
            -0.14500612,
            -0.145735666,
            -0.146465212,
            -0.147194773,
            -0.147924319,
            -0.148653865,
            -0.149383411,
            -0.150112972,
            -0.150842518,
            -0.152163744,
            -0.153622851,
            -0.155081943,
            -0.156541049,
            -0.158000141,
            -0.159459248,
            -0.16091834,
            -0.162377447,
            -0.163836539,
            -0.165295646,
            -0.166754737,
            -0.168213844,
            -0.169672936,
            -0.171132028,
            -0.172591135,
            -0.174050242,
            -0.175509334,
            -0.176968426,
            -0.178427532,
            -0.179886639,
            -0.181345731,
            -0.182804823,
            -0.18426393,
            -0.185723022,
            -0.187182128,
            -0.18864122,
            -0.190100327,
            -0.191559419,
            -0.193018526,
            -0.194477618,
            -0.195936725,
            -0.197395816,
            -0.198583022,
            -0.199555755,
            -0.200528488,
            -0.20150122,
            -0.202473953,
            -0.203446686,
            -0.204419404,
            -0.205392152,
            -0.20636487,
            -0.207337618,
            -0.208310336,
            -0.209283084,
            -0.210255802,
            -0.211228535,
            -0.212201267,
            -0.213174,
            -0.214041427,
            -0.214770973,
            -0.215500519,
            -0.21623008,
            -0.216959625,
            -0.217689171,
            -0.218418717,
            -0.219148278,
            -0.219877824,
            -0.22060737,
            -0.221336916,
            -0.222066462,
            -0.222796023,
            -0.223525569,
            -0.224255115,
            -0.224984676,
            -0.225714222,
            -0.226443768,
            -0.227173313,
            -0.227902859,
            -0.22863242,
            -0.229361966,
            -0.230091512,
            -0.230821058,
            -0.231550619,
            -0.232280165,
            -0.233009711,
            -0.233739257,
            -0.234468818,
            -0.235198364,
            -0.23592791,
            -0.236657456,
            -0.237387016,
            -0.238116562,
            -0.238846108,
            -0.239575654,
            -0.240305215,
            -0.241034761,
            -0.241764307,
            -0.242493853,
            -0.243223414,
            -0.24395296,
            -0.244682506,
            -0.245412052,
            -0.246141613,
            -0.246871158,
            -0.247600704,
            -0.24833025,
            -0.249059811,
            -0.249789357,
            -0.250518918,
            -0.251248449,
            -0.25197801,
            -0.252707571,
            -0.253437102,
            -0.254166663,
            -0.254896224,
            -0.255625755,
            -0.256355315,
            -0.257084876,
            -0.257814407,
            -0.258543968,
            -0.259273529,
            -0.26000309,
            -0.260732621,
            -0.261688113,
            -0.262660861,
            -0.263633579,
            -0.264606327,
            -0.265579045,
            -0.266551793,
            -0.267524511,
            -0.268497229,
            -0.269469976,
            -0.270442694,
            -0.271415442,
            -0.27238816,
            -0.273360908,
            -0.274333626,
            -0.275306344,
            -0.276279092,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276872694,
            -0.277602226,
            -0.278331786,
            -0.279061347,
            -0.279790878,
            -0.280520439,
            -0.28124997,
            -0.281979531,
            -0.282709092,
            -0.283438623,
            -0.284168184,
            -0.284897745,
            -0.285627276,
            -0.286356837,
            -0.287086368,
            -0.287815928,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288016975,
            -0.287287444,
            -0.286557883,
            -0.285828352,
            -0.285098791,
            -0.28436923,
            -0.283639699,
            -0.282910138,
            -0.282180578,
            -0.281451046,
            -0.280721486,
            -0.279991955,
            -0.279262394,
            -0.278532833,
            -0.277803302,
            -0.277073741,
            -0.276302069,
            -0.275329322,
            -0.274356604,
            -0.273383886,
            -0.272411138,
            -0.27143842,
            -0.270465672,
            -0.269492954,
            -0.268520206,
            -0.267547488,
            -0.26657477,
            -0.265602022,
            -0.264629304,
            -0.263656557,
            -0.262683839,
            -0.261711091,
            -0.260749847,
            -0.260020316,
            -0.259290755,
            -0.258561194,
            -0.257831663,
            -0.257102102,
            -0.256372541,
            -0.25564301,
            -0.254913449,
            -0.254183888,
            -0.253454357,
            -0.252724797,
            -0.251995236,
            -0.251265705,
            -0.250536144,
            -0.249806583,
            -0.249077037,
            -0.248347491,
            -0.247617945,
            -0.246888384,
            -0.246158838,
            -0.245429292,
            -0.244699746,
            -0.243970186,
            -0.24324064,
            -0.242511094,
            -0.241781548,
            -0.241051987,
            -0.240322441,
            -0.239592895,
            -0.238863349,
            -0.238133788,
            -0.237404242,
            -0.236674696,
            -0.23594515,
            -0.235215589,
            -0.234486043,
            -0.233756498,
            -0.233026952,
            -0.232297391,
            -0.231567845,
            -0.230838299,
            -0.230108753,
            -0.229379192,
            -0.228649646,
            -0.2279201,
            -0.227190554,
            -0.226460993,
            -0.225731447,
            -0.224350855,
            -0.222648576,
            -0.220946297,
            -0.219244018,
            -0.217541724,
            -0.215839446,
            -0.214137167,
            -0.212434888,
            -0.210732594,
            -0.209030315,
            -0.207328036,
            -0.205625758,
            -0.203923464,
            -0.202221185,
            -0.200518906,
            -0.198816627,
            -0.197642833,
            -0.196913287,
            -0.196183741,
            -0.19545418,
            -0.194724634,
            -0.193995088,
            -0.193265542,
            -0.192535982,
            -0.191806436,
            -0.19107689,
            -0.190347344,
            -0.189617783,
            -0.188888237,
            -0.188158691,
            -0.187429145,
            -0.186699584,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.185849413,
            -0.184390306,
            -0.182931215,
            -0.181472108,
            -0.180013016,
            -0.178553909,
            -0.177094817,
            -0.17563571,
            -0.174176618,
            -0.172717512,
            -0.17125842,
            -0.169799313,
            -0.168340221,
            -0.166881114,
            -0.165422022,
            -0.163962916,
            -0.162342981,
            -0.159911141,
            -0.157479301,
            -0.155047476,
            -0.152615637,
            -0.150183812,
            -0.147751972,
            -0.145320132,
            -0.142888308,
            -0.140456468,
            -0.138024628,
            -0.135592803,
            -0.133160964,
            -0.130729139,
            -0.128297299,
            -0.125865459,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.12286301,
            -0.122133464,
            -0.12140391,
            -0.120674357,
            -0.119944803,
            -0.119215257,
            -0.118485704,
            -0.117756151,
            -0.117026597,
            -0.116297051,
            -0.115567498,
            -0.114837945,
            -0.114108399,
            -0.113378845,
            -0.112649292,
            -0.111919738,
            -0.111190192,
            -0.110460646,
            -0.1097311,
            -0.109001547,
            -0.108272001,
            -0.107542455,
            -0.106812909,
            -0.106083356,
            -0.10535381,
            -0.104624264,
            -0.103894718,
            -0.103165165,
            -0.102435619,
            -0.101706073,
            -0.100976527,
            -0.100246973,
            -0.0990348905,
            -0.0975757912,
            -0.0961166918,
            -0.0946575925,
            -0.0931984931,
            -0.0917393938,
            -0.0902802944,
            -0.0888211951,
            -0.0873620957,
            -0.0859029964,
            -0.084443897,
            -0.0829847977,
            -0.0815256983,
            -0.080066599,
            -0.0786074996,
            -0.0771484077,
            -0.075949721,
            -0.0749769881,
            -0.0740042552,
            -0.0730315223,
            -0.0720587894,
            -0.0710860565,
            -0.0701133236,
            -0.0691405907,
            -0.0681678578,
            -0.0671951249,
            -0.066222392,
            -0.0652496591,
            -0.0642769262,
            -0.0633041933,
            -0.0623314604,
            -0.0613587275,
            -0.0601868555,
            -0.0587277561,
            -0.0572686568,
            -0.0558095574,
            -0.0543504581,
            -0.0528913587,
            -0.0514322594,
            -0.04997316,
            -0.0485140607,
            -0.0470549613,
            -0.045595862,
            -0.0441367626,
            -0.0426776633,
            -0.0412185639,
            -0.0397594646,
            -0.0383003652,
            -0.0368412659,
            -0.0353821665,
            -0.0339230672,
            -0.0324639678,
            -0.0310048703,
            -0.029545771,
            -0.0280866716,
            -0.0266275741,
            -0.0251684748,
            -0.0237093754,
            -0.0222502761,
            -0.0207911767,
            -0.0193320774,
            -0.017872978,
            -0.0164138786,
            -0.0149547793,
            -0.0133424941,
            -0.0109106619,
            -0.00847882964,
            -0.00604699785,
            -0.00361516606,
            -0.00118333381,
            0.00124849752,
            0.00368032977,
            0.00611216202,
            0.00854399428,
            0.0109758265,
            0.0134076569,
            0.0158394892,
            0.0182713233,
            0.0207031518,
            0.0231349841,
            0.0255361795,
            0.0269952789,
            0.0284543782,
            0.0299134776,
            0.031372577,
            0.0328316763,
            0.0342907757,
            0.035749875,
            0.0372089744,
            0.0386680737,
            0.0401271731,
            0.0415862724,
            0.0430453718,
            0.0445044711,
            0.0459635705,
            0.0474226698,
            0.0488817692,
            0.0505610704,
            0.052263353,
            0.0539656356,
            0.0556679182,
            0.0573702008,
            0.0590724833,
            0.0607747659,
            0.0624770485,
            0.0641793311,
            0.0658816099,
            0.0675838962,
            0.0692861751,
            0.0709884614,
            0.0726907402,
            0.0743930265,
            0.0760953054,
            0.0776080191,
            0.0790671185,
            0.0805262178,
            0.0819853172,
            0.0834444165,
            0.0849035159,
            0.0863626152,
            0.0878217146,
            0.0892808139,
            0.0907399133,
            0.0921990126,
            0.093658112,
            0.0951172113,
            0.0965763107,
            0.09803541,
            0.0994945094,
            0.100476816,
            0.101206362,
            0.101935916,
            0.102665462,
            0.103395015,
            0.104124561,
            0.104854114,
            0.10558366,
            0.106313214,
            0.10704276,
            0.107772313,
            0.108501859,
            0.109231412,
            0.109960958,
            0.110690512,
            0.111420058,
            0.112149611,
            0.112879157,
            0.11360871,
            0.114338256,
            0.11506781,
            0.115797356,
            0.116526909,
            0.117256455,
            0.117986009,
            0.118715554,
            0.119445108,
            0.120174654,
            0.120904207,
            0.121633753,
            0.122363307,
            0.123092853,
            0.123920061,
            0.124892794,
            0.125865519,
            0.126838252,
            0.127810985,
            0.128783718,
            0.129756451,
            0.130729184,
            0.131701916,
            0.132674649,
            0.133647382,
            0.134620115,
            0.135592848,
            0.136565581,
            0.137538314,
            0.138511047,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139232948,
            0.139962494,
            0.14069204,
            0.141421586,
            0.142151147,
            0.142880693,
            0.143610239,
            0.144339785,
            0.145069331,
            0.145798892,
            0.146528438,
            0.147257984,
            0.14798753,
            0.14871709,
            0.149446636,
            0.150176182,
            0.150905728,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151451468,
            0.152181014,
            0.152910575,
            0.153640121,
            0.154369682,
            0.155099228,
            0.155828789,
            0.156558335,
            0.157287896,
            0.158017442,
            0.158747002,
            0.159476548,
            0.160206109,
            0.160935655,
            0.161665201,
            0.162394762,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163032398,
            0.163761944,
            0.16449149,
            0.165221035,
            0.165950581,
            0.166680127,
            0.167409673,
            0.168139219,
            0.168868765,
            0.169598311,
            0.170327857,
            0.171057403,
            0.171786949,
            0.172516495,
            0.173246041,
            0.173975587,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.173952609,
            0.173223063,
            0.172493517,
            0.171763971,
            0.171034425,
            0.17030488,
            0.169575334,
            0.168845788,
            0.168116242,
            0.167386696,
            0.16665715,
            0.165927604,
            0.165198058,
            0.164468512,
            0.163738966,
            0.16300942,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163124308,
            0.164583415,
            0.166042507,
            0.167501599,
            0.16896069,
            0.170419797,
            0.171878889,
            0.173337981,
            0.174797073,
            0.17625618,
            0.177715272,
            0.179174364,
            0.180633456,
            0.182092547,
            0.183551654,
            0.185010746,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186764732,
            0.187737465,
            0.188710198,
            0.189682931,
            0.190655679,
            0.191628411,
            0.192601144,
            0.193573877,
            0.194546625,
            0.195519358,
            0.196492091,
            0.197464824,
            0.198437572,
            0.199410304,
            0.200383037,
            0.20135577,
            0.202512324,
            0.203971431,
            0.205430523,
            0.206889614,
            0.208348706,
            0.209807813,
            0.211266905,
            0.212725997,
            0.214185089,
            0.215644196,
            0.217103288,
            0.218562379,
            0.220021471,
            0.221480578,
            0.22293967,
            0.224398762,
            0.225674033,
            0.226403579,
            0.22713314,
            0.227862686,
            0.228592232,
            0.229321778,
            0.230051339,
            0.230780885,
            0.231510431,
            0.232239977,
            0.232969537,
            0.233699083,
            0.234428629,
            0.235158175,
            0.235887736,
            0.236617282,
            0.237346828,
            0.238076374,
            0.238805935,
            0.239535481,
            0.240265027,
            0.240994573,
            0.241724133,
            0.242453679,
            0.243183225,
            0.243912771,
            0.244642332,
            0.245371878,
            0.246101424,
            0.24683097,
            0.247560531,
            0.248290077
          ],
          [
            0.249019623,
            0.248290077,
            0.247560531,
            0.24683097,
            0.246101424,
            0.245371878,
            0.244642332,
            0.243912771,
            0.243183225,
            0.242453679,
            0.241724133,
            0.240994573,
            0.240265027,
            0.239535481,
            0.238805935,
            0.238076374,
            0.237346828,
            0.235979646,
            0.23452054,
            0.233061448,
            0.231602341,
            0.230143249,
            0.228684142,
            0.22722505,
            0.225765944,
            0.224306852,
            0.222847745,
            0.221388653,
            0.219929546,
            0.218470454,
            0.217011347,
            0.215552256,
            0.214093149,
            0.213179782,
            0.212450236,
            0.21172069,
            0.210991144,
            0.210261598,
            0.209532052,
            0.208802506,
            0.20807296,
            0.207343414,
            0.206613868,
            0.205884323,
            0.205154777,
            0.204425231,
            0.203695685,
            0.202966139,
            0.202236593,
            0.20135577,
            0.200383037,
            0.199410304,
            0.198437572,
            0.197464824,
            0.196492091,
            0.195519358,
            0.194546625,
            0.193573877,
            0.192601144,
            0.191628411,
            0.190655679,
            0.189682931,
            0.188710198,
            0.187737465,
            0.186764732,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186634511,
            0.187607259,
            0.188579991,
            0.189552724,
            0.190525457,
            0.191498205,
            0.192470938,
            0.193443671,
            0.194416404,
            0.195389152,
            0.196361884,
            0.197334617,
            0.19830735,
            0.199280098,
            0.200252831,
            0.201225564,
            0.202138945,
            0.202868491,
            0.203598037,
            0.204327583,
            0.205057129,
            0.205786675,
            0.206516221,
            0.207245767,
            0.207975313,
            0.208704859,
            0.209434405,
            0.210163951,
            0.210893497,
            0.211623043,
            0.212352589,
            0.213082135,
            0.213811681,
            0.214541227,
            0.215270773,
            0.216000319,
            0.216729879,
            0.217459425,
            0.218188971,
            0.218918517,
            0.219648078,
            0.220377624,
            0.22110717,
            0.221836716,
            0.222566277,
            0.223295823,
            0.224025369,
            0.224754915,
            0.225484461,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225846365,
            0.226575926,
            0.227305472,
            0.228035018,
            0.228764564,
            0.229494125,
            0.230223671,
            0.230953217,
            0.231682763,
            0.232412323,
            0.233141869,
            0.233871415,
            0.234600961,
            0.235330522,
            0.236060068,
            0.236789614,
            0.23751916,
            0.238248721,
            0.238978267,
            0.239707813,
            0.240437359,
            0.241166919,
            0.241896465,
            0.242626011,
            0.243355557,
            0.244085103,
            0.244814664,
            0.24554421,
            0.246273756,
            0.247003302,
            0.247732863,
            0.248462409,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.248301566,
            0.24757202,
            0.246842459,
            0.246112913,
            0.245383367,
            0.244653821,
            0.24392426,
            0.243194714,
            0.242465168,
            0.241735622,
            0.241006061,
            0.240276515,
            0.23954697,
            0.238817424,
            0.238087863,
            0.237358317,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.236812592,
            0.236083046,
            0.2353535,
            0.234623939,
            0.233894393,
            0.233164847,
            0.232435301,
            0.23170574,
            0.230976194,
            0.230246648,
            0.229517102,
            0.228787541,
            0.228057995,
            0.227328449,
            0.226598904,
            0.225869343,
            0.225139797,
            0.224410251,
            0.223680705,
            0.222951144,
            0.222221598,
            0.221492052,
            0.220762506,
            0.220032945,
            0.219303399,
            0.218573853,
            0.217844307,
            0.217114747,
            0.216385201,
            0.215655655,
            0.214926109,
            0.214196563,
            0.213122338,
            0.211420059,
            0.209717765,
            0.208015487,
            0.206313208,
            0.204610929,
            0.202908635,
            0.201206356,
            0.199504077,
            0.197801799,
            0.19609952,
            0.194397226,
            0.192694947,
            0.190992668,
            0.189290389,
            0.187588096,
            0.186107934,
            0.185378388,
            0.184648842,
            0.183919296,
            0.183189735,
            0.182460189,
            0.181730643,
            0.181001097,
            0.180271536,
            0.17954199,
            0.178812444,
            0.178082898,
            0.177353337,
            0.176623791,
            0.175894246,
            0.1751647,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.175130233,
            0.175859779,
            0.176589325,
            0.177318871,
            0.178048432,
            0.178777978,
            0.179507524,
            0.18023707,
            0.180966631,
            0.181696177,
            0.182425722,
            0.183155268,
            0.183884829,
            0.184614375,
            0.185343921,
            0.186073467,
            0.18697919,
            0.187951922,
            0.188924655,
            0.189897403,
            0.190870136,
            0.191842869,
            0.192815602,
            0.19378835,
            0.194761083,
            0.195733815,
            0.196706548,
            0.197679296,
            0.198652029,
            0.199624762,
            0.200597495,
            0.201570243,
            0.202397436,
            0.203126982,
            0.203856528,
            0.204586074,
            0.20531562,
            0.206045166,
            0.206774712,
            0.207504258,
            0.208233804,
            0.208963349,
            0.209692895,
            0.210422441,
            0.211151987,
            0.211881533,
            0.212611079,
            0.213340625,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213564664,
            0.212835118,
            0.212105572,
            0.211376026,
            0.21064648,
            0.209916934,
            0.209187388,
            0.208457842,
            0.207728297,
            0.206998751,
            0.206269205,
            0.205539659,
            0.204810113,
            0.204080567,
            0.203351021,
            0.202621475,
            0.201868951,
            0.200896218,
            0.199923471,
            0.198950738,
            0.197978005,
            0.197005272,
            0.196032524,
            0.195059791,
            0.194087058,
            0.193114325,
            0.192141593,
            0.191168845,
            0.190196112,
            0.189223379,
            0.188250631,
            0.187277898,
            0.186305165,
            0.184861392,
            0.1834023,
            0.181943193,
            0.180484101,
            0.179025009,
            0.177565917,
            0.176106811,
            0.174647719,
            0.173188627,
            0.171729535,
            0.170270428,
            0.168811336,
            0.167352244,
            0.165893152,
            0.164434046,
            0.162974954,
            0.16213052,
            0.161400959,
            0.160671413,
            0.159941852,
            0.159212306,
            0.158482745,
            0.157753199,
            0.157023638,
            0.156294093,
            0.155564532,
            0.154834986,
            0.154105425,
            0.153375879,
            0.152646318,
            0.151916772,
            0.151187211,
            0.149760664,
            0.148058385,
            0.146356106,
            0.144653827,
            0.142951533,
            0.141249254,
            0.139546975,
            0.137844697,
            0.136142403,
            0.134440124,
            0.132737845,
            0.131035566,
            0.129333273,
            0.127630994,
            0.125928715,
            0.124226436,
            0.12266776,
            0.12120866,
            0.119749561,
            0.118290462,
            0.116831362,
            0.115372263,
            0.113913164,
            0.112454064,
            0.110994965,
            0.109535873,
            0.108076766,
            0.106617674,
            0.105158567,
            0.103699476,
            0.102240369,
            0.100781277,
            0.0993221775,
            0.0978630781,
            0.0964039788,
            0.0949448794,
            0.0934857801,
            0.0920266807,
            0.0905675814,
            0.089108482,
            0.0876493827,
            0.0861902833,
            0.0847311839,
            0.0832720846,
            0.0818129852,
            0.0803538859,
            0.0788947865,
            0.0774356872,
            0.0761412606,
            0.0751685277,
            0.0741957948,
            0.0732230619,
            0.072250329,
            0.0712775961,
            0.0703048632,
            0.0693321303,
            0.0683594048,
            0.0673866719,
            0.066413939,
            0.0654412061,
            0.0644684732,
            0.0634957403,
            0.0625230074,
            0.0615502708,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0606579594,
            0.0591988638,
            0.0577397645,
            0.0562806651,
            0.0548215657,
            0.0533624664,
            0.051903367,
            0.0504442677,
            0.0489851683,
            0.047526069,
            0.0460669696,
            0.0446078703,
            0.0431487709,
            0.0416896716,
            0.0402305722,
            0.0387714729,
            0.0373123735,
            0.0358532742,
            0.0343941748,
            0.0329350755,
            0.0314759761,
            0.0300168786,
            0.0285577793,
            0.0270986799,
            0.0256395806,
            0.0241804831,
            0.0227213837,
            0.0212622844,
            0.019803185,
            0.0183440857,
            0.0168849863,
            0.015425887,
            0.0139667876,
            0.0131166037,
            0.012387054,
            0.0116575044,
            0.0109279547,
            0.010198405,
            0.00946885534,
            0.00873930566,
            0.00800975598,
            0.00728020724,
            0.00655065756,
            0.00582110789,
            0.00509155821,
            0.00436200853,
            0.00363245886,
            0.00290290918,
            0.00217335951,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00139402482,
            0.000421292032,
            -0.000551440753,
            -0.00152417365,
            -0.00249690656,
            -0.00346963899,
            -0.00444237189,
            -0.0054151048,
            -0.00638783723,
            -0.00736057013,
            -0.00833330303,
            -0.00930603594,
            -0.0102787688,
            -0.0112515017,
            -0.0122242346,
            -0.0131969666,
            -0.0143918199,
            -0.0158509184,
            -0.0173100177,
            -0.0187691171,
            -0.0202282164,
            -0.0216873158,
            -0.0231464151,
            -0.0246055145,
            -0.026064612,
            -0.0275237113,
            -0.0289828107,
            -0.03044191,
            -0.0319010094,
            -0.0333601087,
            -0.0348192081,
            -0.0362783074,
            -0.0377374068,
            -0.0391965061,
            -0.0406556055,
            -0.0421147048,
            -0.0435738042,
            -0.0450329036,
            -0.0464920029,
            -0.0479511023,
            -0.0494102016,
            -0.050869301,
            -0.0523284003,
            -0.0537874997,
            -0.055246599,
            -0.0567056984,
            -0.0581647977,
            -0.0596238971,
            -0.0611327775,
            -0.0628350601,
            -0.0645373464,
            -0.0662396252,
            -0.0679419115,
            -0.0696441904,
            -0.0713464767,
            -0.0730487555,
            -0.0747510344,
            -0.0764533207,
            -0.078155607,
            -0.0798578858,
            -0.0815601647,
            -0.083262451,
            -0.0849647298,
            -0.0866670161,
            -0.088292703,
            -0.0890222564,
            -0.0897518024,
            -0.0904813558,
            -0.0912109017,
            -0.0919404551,
            -0.0926700011,
            -0.0933995545,
            -0.0941291004,
            -0.0948586464,
            -0.0955881998,
            -0.0963177532,
            -0.0970472991,
            -0.0977768451,
            -0.0985063985,
            -0.0992359519,
            -0.0999654979,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100419313,
            -0.101148859,
            -0.101878405,
            -0.102607951,
            -0.103337504,
            -0.10406705,
            -0.104796596,
            -0.105526142,
            -0.106255695,
            -0.106985241,
            -0.107714787,
            -0.108444333,
            -0.109173886,
            -0.109903432,
            -0.110632978,
            -0.111362524,
            -0.112092078,
            -0.112821631,
            -0.113551177,
            -0.11428073,
            -0.115010284,
            -0.11573983,
            -0.116469383,
            -0.117198937,
            -0.11792849,
            -0.118658036,
            -0.119387589,
            -0.120117143,
            -0.120846696,
            -0.121576242,
            -0.122305796,
            -0.123035349,
            -0.123843409,
            -0.124816142,
            -0.125788882,
            -0.126761615,
            -0.127734348,
            -0.128707081,
            -0.129679814,
            -0.130652547,
            -0.13162528,
            -0.132598013,
            -0.13357076,
            -0.134543493,
            -0.135516226,
            -0.136488959,
            -0.137461692,
            -0.138434425,
            -0.139359295,
            -0.140088841,
            -0.140818387,
            -0.141547933,
            -0.142277494,
            -0.14300704,
            -0.143736586,
            -0.144466132,
            -0.145195693,
            -0.145925239,
            -0.146654785,
            -0.147384331,
            -0.148113891,
            -0.148843437,
            -0.149572983,
            -0.150302529,
            -0.15103209,
            -0.151761636,
            -0.152491182,
            -0.153220728,
            -0.153950289,
            -0.154679835,
            -0.155409381,
            -0.156138927,
            -0.156868488,
            -0.157598034,
            -0.158327579,
            -0.159057125,
            -0.159786671,
            -0.160516232,
            -0.161245778,
            -0.161975324,
            -0.16270487,
            -0.163434431,
            -0.164163977,
            -0.164893523,
            -0.165623069,
            -0.16635263,
            -0.167082176,
            -0.167811722,
            -0.168541268,
            -0.169270828,
            -0.170000374,
            -0.17072992,
            -0.171459466,
            -0.172189027,
            -0.172918573,
            -0.173648119,
            -0.174377665,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174096197,
            -0.173366636,
            -0.17263709,
            -0.171907544,
            -0.171177998,
            -0.170448437,
            -0.169718891,
            -0.168989345,
            -0.168259799,
            -0.167530239,
            -0.166800693,
            -0.166071147,
            -0.165341601,
            -0.16461204,
            -0.163882494,
            -0.163152948,
            -0.162101701,
            -0.160642609,
            -0.159183502,
            -0.15772441,
            -0.156265303,
            -0.154806212,
            -0.153347105,
            -0.151888013,
            -0.150428906,
            -0.148969814,
            -0.147510707,
            -0.146051615,
            -0.144592524,
            -0.143133417,
            -0.14167431,
            -0.140215218,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139261633,
            -0.139991179,
            -0.14072074,
            -0.141450286,
            -0.142179832,
            -0.142909378,
            -0.143638939,
            -0.144368485,
            -0.145098031,
            -0.145827577,
            -0.146557122,
            -0.147286683,
            -0.148016229,
            -0.148745775,
            -0.149475321,
            -0.150204882,
            -0.150934428,
            -0.151663974,
            -0.15239352,
            -0.153123081,
            -0.153852627,
            -0.154582173,
            -0.155311719,
            -0.156041279,
            -0.156770825,
            -0.157500371,
            -0.158229917,
            -0.158959478,
            -0.159689024,
            -0.16041857,
            -0.161148116,
            -0.161877677,
            -0.162607223,
            -0.163928449,
            -0.165387556,
            -0.166846648,
            -0.168305755,
            -0.169764847,
            -0.171223953,
            -0.172683045,
            -0.174142152,
            -0.175601244,
            -0.177060351,
            -0.178519443,
            -0.179978549,
            -0.181437641,
            -0.182896733,
            -0.18435584,
            -0.185814947,
            -0.187440634,
            -0.189142913,
            -0.190845191,
            -0.19254747,
            -0.194249764,
            -0.195952043,
            -0.197654322,
            -0.199356601,
            -0.201058894,
            -0.202761173,
            -0.204463452,
            -0.206165731,
            -0.20786801,
            -0.209570304,
            -0.211272582,
            -0.212974861,
            -0.214133337,
            -0.214862883,
            -0.215592429,
            -0.21632199,
            -0.217051536,
            -0.217781082,
            -0.218510628,
            -0.219240189,
            -0.219969735,
            -0.220699281,
            -0.221428826,
            -0.222158387,
            -0.222887933,
            -0.223617479,
            -0.224347025,
            -0.225076586,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225714222,
            -0.226443768,
            -0.227173313,
            -0.227902859,
            -0.22863242,
            -0.229361966,
            -0.230091512,
            -0.230821058,
            -0.231550619,
            -0.232280165,
            -0.233009711,
            -0.233739257,
            -0.234468818,
            -0.235198364,
            -0.23592791,
            -0.236657456,
            -0.237387016,
            -0.238116562,
            -0.238846108,
            -0.239575654,
            -0.240305215,
            -0.241034761,
            -0.241764307,
            -0.242493853,
            -0.243223414,
            -0.24395296,
            -0.244682506,
            -0.245412052,
            -0.246141613,
            -0.246871158,
            -0.247600704,
            -0.24833025,
            -0.249059811,
            -0.249789357,
            -0.250518918,
            -0.251248449,
            -0.25197801,
            -0.252707571,
            -0.253437102,
            -0.254166663,
            -0.254896224,
            -0.255625755,
            -0.256355315,
            -0.257084876,
            -0.257814407,
            -0.258543968,
            -0.259273529,
            -0.26000309,
            -0.260732621,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.261565566,
            -0.262538314,
            -0.263511032,
            -0.26448378,
            -0.265456498,
            -0.266429245,
            -0.267401963,
            -0.268374681,
            -0.269347429,
            -0.270320147,
            -0.271292895,
            -0.272265613,
            -0.273238361,
            -0.274211079,
            -0.275183797,
            -0.276156545,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276179522,
            -0.275206774,
            -0.274234056,
            -0.273261338,
            -0.272288591,
            -0.271315873,
            -0.270343125,
            -0.269370407,
            -0.268397659,
            -0.267424941,
            -0.266452223,
            -0.265479475,
            -0.264506757,
            -0.263534009,
            -0.262561291,
            -0.261588544,
            -0.260657936,
            -0.259928405,
            -0.259198844,
            -0.258469284,
            -0.257739753,
            -0.257010192,
            -0.256280631,
            -0.2555511,
            -0.254821539,
            -0.254091978,
            -0.253362447,
            -0.252632886,
            -0.251903325,
            -0.251173794,
            -0.250444233,
            -0.249714673,
            -0.248985127,
            -0.248255581,
            -0.24752602,
            -0.246796474,
            -0.246066928,
            -0.245337382,
            -0.244607836,
            -0.243878275,
            -0.243148729,
            -0.242419183,
            -0.241689637,
            -0.240960076,
            -0.240230531,
            -0.239500985,
            -0.238771439,
            -0.238041878,
            -0.237312332,
            -0.236582786,
            -0.23585324,
            -0.235123679,
            -0.234394133,
            -0.233664587,
            -0.232935041,
            -0.23220548,
            -0.231475934,
            -0.230746388,
            -0.230016842,
            -0.229287282,
            -0.228557736,
            -0.22782819,
            -0.227098644,
            -0.226369083,
            -0.225639537,
            -0.224909991,
            -0.224180445,
            -0.223450884,
            -0.222721338,
            -0.221991792,
            -0.221262246,
            -0.220532686,
            -0.21980314,
            -0.219073594,
            -0.218344048,
            -0.217614487,
            -0.216884941,
            -0.216155395,
            -0.215425849,
            -0.214696288,
            -0.213966742,
            -0.213074431,
            -0.212101698,
            -0.211128965,
            -0.210156232,
            -0.209183499,
            -0.208210766,
            -0.207238033,
            -0.206265301,
            -0.205292568,
            -0.204319835,
            -0.203347102,
            -0.202374369,
            -0.201401636,
            -0.200428903,
            -0.19945617,
            -0.198483437,
            -0.197642833,
            -0.196913287,
            -0.196183741,
            -0.19545418,
            -0.194724634,
            -0.193995088,
            -0.193265542,
            -0.192535982,
            -0.191806436,
            -0.19107689,
            -0.190347344,
            -0.189617783,
            -0.188888237,
            -0.188158691,
            -0.187429145,
            -0.186699584,
            -0.185970038,
            -0.185240492,
            -0.184510946,
            -0.183781385,
            -0.183051839,
            -0.182322294,
            -0.181592748,
            -0.180863187,
            -0.180133641,
            -0.179404095,
            -0.178674549,
            -0.177944988,
            -0.177215442,
            -0.176485896,
            -0.17575635,
            -0.175026804,
            -0.174084708,
            -0.172625601,
            -0.171166509,
            -0.169707403,
            -0.168248311,
            -0.166789204,
            -0.165330112,
            -0.163871005,
            -0.162411913,
            -0.160952806,
            -0.159493715,
            -0.158034608,
            -0.156575516,
            -0.155116409,
            -0.153657317,
            -0.15219821,
            -0.1506989,
            -0.148996621,
            -0.147294328,
            -0.145592049,
            -0.14388977,
            -0.142187476,
            -0.140485197,
            -0.138782918,
            -0.137080625,
            -0.135378346,
            -0.133676067,
            -0.131973773,
            -0.130271494,
            -0.128569216,
            -0.126866922,
            -0.125164643,
            -0.123500653,
            -0.122771099,
            -0.122041546,
            -0.121312,
            -0.120582446,
            -0.119852893,
            -0.11912334,
            -0.118393794,
            -0.11766424,
            -0.116934687,
            -0.116205141,
            -0.115475588,
            -0.114746034,
            -0.114016481,
            -0.113286935,
            -0.112557381,
            -0.111827828,
            -0.111098282,
            -0.110368736,
            -0.109639183,
            -0.108909637,
            -0.108180091,
            -0.107450545,
            -0.106720991,
            -0.105991445,
            -0.1052619,
            -0.104532354,
            -0.1038028,
            -0.103073254,
            -0.102343708,
            -0.101614162,
            -0.100884616,
            -0.100155063,
            -0.099425517,
            -0.0986959636,
            -0.0979664177,
            -0.0972368643,
            -0.0965073183,
            -0.0957777649,
            -0.095048219,
            -0.0943186656,
            -0.0935891196,
            -0.0928595662,
            -0.0921300203,
            -0.0914004743,
            -0.0906709209,
            -0.0899413675,
            -0.0892118216,
            -0.0884822756,
            -0.0877527222,
            -0.0870231763,
            -0.0862936229,
            -0.0855640769,
            -0.0848345235,
            -0.0841049775,
            -0.0833754241,
            -0.0826458782,
            -0.0819163248,
            -0.0811867788,
            -0.0804572254,
            -0.0797276795,
            -0.0789981261,
            -0.0782685801,
            -0.0775390267,
            -0.0768094808,
            -0.075949721,
            -0.0749769881,
            -0.0740042552,
            -0.0730315223,
            -0.0720587894,
            -0.0710860565,
            -0.0701133236,
            -0.0691405907,
            -0.0681678578,
            -0.0671951249,
            -0.066222392,
            -0.0652496591,
            -0.0642769262,
            -0.0633041933,
            -0.0623314604,
            -0.0613587275,
            -0.0601868555,
            -0.0587277561,
            -0.0572686568,
            -0.0558095574,
            -0.0543504581,
            -0.0528913587,
            -0.0514322594,
            -0.04997316,
            -0.0485140607,
            -0.0470549613,
            -0.045595862,
            -0.0441367626,
            -0.0426776633,
            -0.0412185639,
            -0.0397594646,
            -0.0383003652,
            -0.0368412659,
            -0.0353821665,
            -0.0339230672,
            -0.0324639678,
            -0.0310048703,
            -0.029545771,
            -0.0280866716,
            -0.0266275741,
            -0.0251684748,
            -0.0237093754,
            -0.0222502761,
            -0.0207911767,
            -0.0193320774,
            -0.017872978,
            -0.0164138786,
            -0.0149547793,
            -0.0133424941,
            -0.0109106619,
            -0.00847882964,
            -0.00604699785,
            -0.00361516606,
            -0.00118333381,
            0.00124849752,
            0.00368032977,
            0.00611216202,
            0.00854399428,
            0.0109758265,
            0.0134076569,
            0.0158394892,
            0.0182713233,
            0.0207031518,
            0.0231349841,
            0.0255361795,
            0.0269952789,
            0.0284543782,
            0.0299134776,
            0.031372577,
            0.0328316763,
            0.0342907757,
            0.035749875,
            0.0372089744,
            0.0386680737,
            0.0401271731,
            0.0415862724,
            0.0430453718,
            0.0445044711,
            0.0459635705,
            0.0474226698,
            0.0488817692,
            0.0505610704,
            0.052263353,
            0.0539656356,
            0.0556679182,
            0.0573702008,
            0.0590724833,
            0.0607747659,
            0.0624770485,
            0.0641793311,
            0.0658816099,
            0.0675838962,
            0.0692861751,
            0.0709884614,
            0.0726907402,
            0.0743930265,
            0.0760953054,
            0.0770393163,
            0.0777688697,
            0.0784984156,
            0.0792279691,
            0.079957515,
            0.0806870684,
            0.0814166144,
            0.0821461678,
            0.0828757137,
            0.0836052671,
            0.0843348131,
            0.0850643665,
            0.0857939124,
            0.0865234584,
            0.0872530118,
            0.0879825652,
            0.0887121111,
            0.0894416571,
            0.0901712105,
            0.0909007564,
            0.0916303098,
            0.0923598558,
            0.0930894092,
            0.0938189551,
            0.0945485085,
            0.0952780545,
            0.0960076079,
            0.0967371538,
            0.0974667072,
            0.0981962532,
            0.0989258066,
            0.0996553525,
            0.100769788,
            0.102228887,
            0.103687987,
            0.105147079,
            0.106606185,
            0.108065277,
            0.109524377,
            0.110983476,
            0.112442575,
            0.113901675,
            0.115360774,
            0.116819873,
            0.118278973,
            0.119738072,
            0.121197172,
            0.122656271,
            0.123920061,
            0.124892794,
            0.125865519,
            0.126838252,
            0.127810985,
            0.128783718,
            0.129756451,
            0.130729184,
            0.131701916,
            0.132674649,
            0.133647382,
            0.134620115,
            0.135592848,
            0.136565581,
            0.137538314,
            0.138511047,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139686748,
            0.140416309,
            0.141145855,
            0.141875401,
            0.142604947,
            0.143334508,
            0.144064054,
            0.1447936,
            0.145523146,
            0.146252707,
            0.146982253,
            0.147711799,
            0.148441344,
            0.149170905,
            0.149900451,
            0.150629997,
            0.151359558,
            0.152089104,
            0.15281865,
            0.153548211,
            0.154277757,
            0.155007318,
            0.155736864,
            0.156466424,
            0.15719597,
            0.157925531,
            0.158655077,
            0.159384638,
            0.160114184,
            0.160843745,
            0.161573291,
            0.162302852,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162641779,
            0.161912218,
            0.161182672,
            0.160453111,
            0.159723565,
            0.158994004,
            0.158264458,
            0.157534897,
            0.156805351,
            0.156075791,
            0.155346245,
            0.154616684,
            0.153887138,
            0.153157577,
            0.152428031,
            0.15169847,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.15060702,
            0.149877474,
            0.149147928,
            0.148418367,
            0.147688821,
            0.146959275,
            0.146229729,
            0.145500168,
            0.144770622,
            0.144041076,
            0.14331153,
            0.142581969,
            0.141852424,
            0.141122878,
            0.140393332,
            0.139663771,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.13940528,
            0.140134826,
            0.140864372,
            0.141593918,
            0.142323479,
            0.143053025,
            0.143782571,
            0.144512117,
            0.145241678,
            0.145971224,
            0.14670077,
            0.147430316,
            0.148159876,
            0.148889422,
            0.149618968,
            0.150348514,
            0.151078075,
            0.151807621,
            0.152537182,
            0.153266728,
            0.153996289,
            0.154725835,
            0.155455396,
            0.156184942,
            0.156914502,
            0.157644048,
            0.158373609,
            0.159103155,
            0.159832716,
            0.160562262,
            0.161291808,
            0.162021369,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.16329664,
            0.164026186,
            0.164755732,
            0.165485278,
            0.166214824,
            0.16694437,
            0.167673916,
            0.168403462,
            0.169133008,
            0.169862553,
            0.170592099,
            0.171321645,
            0.172051191,
            0.172780737,
            0.173510283,
            0.174239829,
            0.174969375,
            0.175698936,
            0.176428482,
            0.177158028,
            0.177887574,
            0.178617135,
            0.179346681,
            0.180076227,
            0.180805773,
            0.181535333,
            0.182264879,
            0.182994425,
            0.183723971,
            0.184453532,
            0.185183078,
            0.185912624,
            0.186764732,
            0.187737465,
            0.188710198,
            0.189682931,
            0.190655679,
            0.191628411,
            0.192601144,
            0.193573877,
            0.194546625,
            0.195519358,
            0.196492091,
            0.197464824,
            0.198437572,
            0.199410304,
            0.200383037,
            0.20135577,
            0.202512324,
            0.203971431,
            0.205430523,
            0.206889614,
            0.208348706,
            0.209807813,
            0.211266905,
            0.212725997,
            0.214185089,
            0.215644196,
            0.217103288,
            0.218562379,
            0.220021471,
            0.221480578,
            0.22293967,
            0.224398762,
            0.225674033,
            0.226403579,
            0.22713314,
            0.227862686,
            0.228592232,
            0.229321778,
            0.230051339,
            0.230780885,
            0.231510431,
            0.232239977,
            0.232969537,
            0.233699083,
            0.234428629,
            0.235158175,
            0.235887736,
            0.236617282,
            0.237346828,
            0.238076374,
            0.238805935,
            0.239535481,
            0.240265027,
            0.240994573,
            0.241724133,
            0.242453679,
            0.243183225,
            0.243912771,
            0.244642332,
            0.245371878,
            0.246101424,
            0.24683097,
            0.247560531,
            0.248290077
          ],
          [
            0.249019623,
            0.247560531,
            0.246101424,
            0.244642332,
            0.243183225,
            0.241724133,
            0.240265027,
            0.238805935,
            0.237346828,
            0.235887736,
            0.234428629,
            0.232969537,
            0.231510431,
            0.230051339,
            0.228592232,
            0.22713314,
            0.225674033,
            0.224214941,
            0.222755849,
            0.221296743,
            0.219837651,
            0.218378559,
            0.216919467,
            0.21546036,
            0.214001268,
            0.212542176,
            0.211083084,
            0.209623992,
            0.208164886,
            0.206705794,
            0.205246702,
            0.203787595,
            0.202328503,
            0.201233223,
            0.20026049,
            0.199287757,
            0.198315009,
            0.197342277,
            0.196369544,
            0.195396811,
            0.194424063,
            0.19345133,
            0.192478597,
            0.191505864,
            0.190533116,
            0.189560384,
            0.188587651,
            0.187614918,
            0.18664217,
            0.185820714,
            0.185091168,
            0.184361622,
            0.183632061,
            0.182902515,
            0.182172969,
            0.181443423,
            0.180713862,
            0.179984316,
            0.17925477,
            0.178525224,
            0.177795663,
            0.177066118,
            0.176336572,
            0.175607026,
            0.174877465,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174779817,
            0.175509363,
            0.176238909,
            0.176968455,
            0.177698016,
            0.178427562,
            0.179157108,
            0.179886669,
            0.180616215,
            0.181345761,
            0.182075307,
            0.182804853,
            0.183534414,
            0.18426396,
            0.184993505,
            0.185723051,
            0.186511964,
            0.187484711,
            0.188457444,
            0.189430177,
            0.19040291,
            0.191375643,
            0.192348391,
            0.193321124,
            0.194293857,
            0.19526659,
            0.196239337,
            0.19721207,
            0.198184803,
            0.199157536,
            0.200130284,
            0.201103017,
            0.202047035,
            0.202776581,
            0.203506127,
            0.204235673,
            0.204965219,
            0.205694765,
            0.206424311,
            0.207153857,
            0.207883403,
            0.208612949,
            0.209342495,
            0.210072041,
            0.210801572,
            0.211531132,
            0.212260664,
            0.212990224,
            0.213719755,
            0.214449316,
            0.215178862,
            0.215908408,
            0.216637954,
            0.217367515,
            0.218097061,
            0.218826607,
            0.219556153,
            0.220285714,
            0.22101526,
            0.221744806,
            0.222474352,
            0.223203912,
            0.223933458,
            0.224663004,
            0.22539255,
            0.224858314,
            0.224128768,
            0.223399222,
            0.222669676,
            0.221940115,
            0.221210569,
            0.220481023,
            0.219751477,
            0.219021916,
            0.21829237,
            0.217562824,
            0.216833279,
            0.216103718,
            0.215374172,
            0.214644626,
            0.21391508,
            0.214265496,
            0.214995041,
            0.215724587,
            0.216454133,
            0.217183694,
            0.21791324,
            0.218642786,
            0.219372332,
            0.220101893,
            0.220831439,
            0.221560985,
            0.222290531,
            0.223020077,
            0.223749638,
            0.224479184,
            0.22520873,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.226202533,
            0.227661625,
            0.229120731,
            0.230579823,
            0.23203893,
            0.233498022,
            0.234957129,
            0.236416221,
            0.237875327,
            0.239334419,
            0.240793526,
            0.242252618,
            0.243711725,
            0.245170817,
            0.246629924,
            0.248089015,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.248847291,
            0.248117745,
            0.247388184,
            0.246658638,
            0.245929092,
            0.245199546,
            0.244469985,
            0.243740439,
            0.243010893,
            0.242281348,
            0.241551787,
            0.240822241,
            0.240092695,
            0.239363149,
            0.238633588,
            0.237904042,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.236720681,
            0.235991135,
            0.235261574,
            0.234532028,
            0.233802482,
            0.233072937,
            0.232343376,
            0.23161383,
            0.230884284,
            0.230154738,
            0.229425192,
            0.228695631,
            0.227966085,
            0.227236539,
            0.226506993,
            0.225777432,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225139797,
            0.224410251,
            0.223680705,
            0.222951144,
            0.222221598,
            0.221492052,
            0.220762506,
            0.220032945,
            0.219303399,
            0.218573853,
            0.217844307,
            0.217114747,
            0.216385201,
            0.215655655,
            0.214926109,
            0.214196563,
            0.213122338,
            0.211420059,
            0.209717765,
            0.208015487,
            0.206313208,
            0.204610929,
            0.202908635,
            0.201206356,
            0.199504077,
            0.197801799,
            0.19609952,
            0.194397226,
            0.192694947,
            0.190992668,
            0.189290389,
            0.187588096,
            0.186107934,
            0.185378388,
            0.184648842,
            0.183919296,
            0.183189735,
            0.182460189,
            0.181730643,
            0.181001097,
            0.180271536,
            0.17954199,
            0.178812444,
            0.178082898,
            0.177353337,
            0.176623791,
            0.175894246,
            0.1751647,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.175130233,
            0.175859779,
            0.176589325,
            0.177318871,
            0.178048432,
            0.178777978,
            0.179507524,
            0.18023707,
            0.180966631,
            0.181696177,
            0.182425722,
            0.183155268,
            0.183884829,
            0.184614375,
            0.185343921,
            0.186073467,
            0.18697919,
            0.187951922,
            0.188924655,
            0.189897403,
            0.190870136,
            0.191842869,
            0.192815602,
            0.19378835,
            0.194761083,
            0.195733815,
            0.196706548,
            0.197679296,
            0.198652029,
            0.199624762,
            0.200597495,
            0.201570243,
            0.202397436,
            0.203126982,
            0.203856528,
            0.204586074,
            0.20531562,
            0.206045166,
            0.206774712,
            0.207504258,
            0.208233804,
            0.208963349,
            0.209692895,
            0.210422441,
            0.211151987,
            0.211881533,
            0.212611079,
            0.213340625,
            0.213380843,
            0.212651297,
            0.211921751,
            0.211192206,
            0.21046266,
            0.209733114,
            0.209003568,
            0.208274022,
            0.207544476,
            0.20681493,
            0.206085384,
            0.205355838,
            0.204626292,
            0.203896746,
            0.2031672,
            0.202437654,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201746404,
            0.200773656,
            0.199800923,
            0.198828191,
            0.197855458,
            0.196882725,
            0.195909977,
            0.194937244,
            0.193964511,
            0.192991778,
            0.19201903,
            0.191046298,
            0.190073565,
            0.189100832,
            0.188128084,
            0.187155351,
            0.186136663,
            0.184677571,
            0.183218464,
            0.181759372,
            0.18030028,
            0.178841189,
            0.177382082,
            0.17592299,
            0.174463898,
            0.173004806,
            0.171545714,
            0.170086607,
            0.168627515,
            0.167168424,
            0.165709317,
            0.164250225,
            0.162791133,
            0.162038609,
            0.161309049,
            0.160579503,
            0.159849942,
            0.159120396,
            0.158390835,
            0.157661289,
            0.156931728,
            0.156202182,
            0.155472621,
            0.154743075,
            0.154013515,
            0.153283969,
            0.152554408,
            0.151824862,
            0.151095301,
            0.150365755,
            0.149636209,
            0.148906648,
            0.148177102,
            0.147447556,
            0.14671801,
            0.145988449,
            0.145258904,
            0.144529358,
            0.143799812,
            0.143070251,
            0.142340705,
            0.141611159,
            0.140881613,
            0.140152052,
            0.139422506,
            0.138518706,
            0.137545973,
            0.13657324,
            0.135600507,
            0.134627774,
            0.133655041,
            0.132682309,
            0.131709576,
            0.130736843,
            0.12976411,
            0.128791377,
            0.127818644,
            0.126845911,
            0.125873178,
            0.124900453,
            0.12392772,
            0.123098597,
            0.122369051,
            0.121639498,
            0.120909952,
            0.120180398,
            0.119450852,
            0.118721299,
            0.117991753,
            0.1172622,
            0.116532654,
            0.1158031,
            0.115073554,
            0.114344001,
            0.113614455,
            0.112884901,
            0.112155356,
            0.111086883,
            0.109627783,
            0.108168684,
            0.106709585,
            0.105250485,
            0.103791386,
            0.102332287,
            0.100873187,
            0.0994140878,
            0.0979549885,
            0.0964958891,
            0.0950367898,
            0.0935776904,
            0.0921185911,
            0.0906594917,
            0.0892003924,
            0.0879883021,
            0.0872587562,
            0.0865292102,
            0.0857996568,
            0.0850701109,
            0.0843405575,
            0.0836110115,
            0.0828814581,
            0.0821519122,
            0.0814223588,
            0.0806928128,
            0.0799632594,
            0.0792337134,
            0.07850416,
            0.0777746141,
            0.0770450607,
            0.0762638152,
            0.0752910823,
            0.0743183494,
            0.0733456165,
            0.0723728836,
            0.0714001507,
            0.0704274178,
            0.0694546849,
            0.068481952,
            0.0675092191,
            0.0665364861,
            0.0655637532,
            0.0645910203,
            0.0636182874,
            0.0626455545,
            0.0616728216,
            0.0607211515,
            0.0599916019,
            0.0592620522,
            0.0585325025,
            0.0578029528,
            0.0570734031,
            0.0563438535,
            0.0556143038,
            0.0548847541,
            0.0541552044,
            0.0534256548,
            0.0526961051,
            0.0519665554,
            0.0512370057,
            0.0505074561,
            0.0497779064,
            0.0490483567,
            0.0476179793,
            0.04615888,
            0.0446997806,
            0.0432406813,
            0.0417815819,
            0.0403224826,
            0.0388633832,
            0.0374042839,
            0.0359451883,
            0.0344860889,
            0.0330269895,
            0.0315678902,
            0.0301087908,
            0.0286496915,
            0.0271905921,
            0.0257314928,
            0.0242723934,
            0.0228132941,
            0.0213541947,
            0.0198950954,
            0.018435996,
            0.0169768967,
            0.0155177983,
            0.0140586989,
            0.0125996005,
            0.0111405011,
            0.00968140177,
            0.00822230242,
            0.00676320307,
            0.00530410372,
            0.00384500436,
            0.00238590501,
            0.0012714758,
            0.00029874302,
            -0.000673989765,
            -0.00164672267,
            -0.00261945557,
            -0.003592188,
            -0.00456492091,
            -0.00553765381,
            -0.00651038624,
            -0.00748311915,
            -0.00845585205,
            -0.00942858495,
            -0.0104013178,
            -0.0113740508,
            -0.0123467837,
            -0.0133195156,
            -0.0145756435,
            -0.0160347428,
            -0.0174938422,
            -0.0189529415,
            -0.020412039,
            -0.0218711384,
            -0.0233302377,
            -0.0247893371,
            -0.0262484364,
            -0.0277075358,
            -0.0291666351,
            -0.0306257345,
            -0.0320848338,
            -0.0335439332,
            -0.0350030325,
            -0.0364621319,
            -0.0375880487,
            -0.0383175984,
            -0.0390471481,
            -0.0397766978,
            -0.0405062474,
            -0.0412357971,
            -0.0419653468,
            -0.0426948965,
            -0.0434244461,
            -0.0441539958,
            -0.0448835455,
            -0.0456130952,
            -0.0463426448,
            -0.0470721945,
            -0.0478017442,
            -0.0485312939,
            -0.0495825335,
            -0.0512848161,
            -0.0529870987,
            -0.0546893813,
            -0.0563916638,
            -0.0580939464,
            -0.059796229,
            -0.0614985116,
            -0.0632007942,
            -0.0649030805,
            -0.0666053593,
            -0.0683076382,
            -0.0700099245,
            -0.0717122033,
            -0.0734144896,
            -0.0751167685,
            -0.07676927,
            -0.0782283694,
            -0.0796874687,
            -0.0811465681,
            -0.08260566,
            -0.0840647668,
            -0.0855238587,
            -0.0869829655,
            -0.0884420574,
            -0.0899011567,
            -0.0913602561,
            -0.0928193554,
            -0.0942784548,
            -0.0957375541,
            -0.0971966535,
            -0.0986557528,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0993048847,
            -0.0985753313,
            -0.0978457853,
            -0.0971162319,
            -0.096386686,
            -0.0956571326,
            -0.0949275866,
            -0.0941980332,
            -0.0934684873,
            -0.0927389339,
            -0.0920093879,
            -0.0912798345,
            -0.0905502886,
            -0.0898207352,
            -0.0890911892,
            -0.0883616358,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0886546075,
            -0.0893841535,
            -0.0901137069,
            -0.0908432528,
            -0.0915728062,
            -0.0923023522,
            -0.0930319056,
            -0.0937614515,
            -0.0944910049,
            -0.0952205509,
            -0.0959501043,
            -0.0966796502,
            -0.0974092036,
            -0.0981387496,
            -0.098868303,
            -0.099597849,
            -0.100327402,
            -0.101056948,
            -0.101786494,
            -0.10251604,
            -0.103245594,
            -0.10397514,
            -0.104704686,
            -0.105434231,
            -0.106163785,
            -0.106893331,
            -0.107622877,
            -0.108352423,
            -0.109081969,
            -0.109811522,
            -0.110541068,
            -0.111270614,
            -0.112000167,
            -0.112729713,
            -0.113459267,
            -0.11418882,
            -0.114918366,
            -0.115647919,
            -0.116377473,
            -0.117107026,
            -0.117836572,
            -0.118566126,
            -0.119295679,
            -0.120025232,
            -0.120754778,
            -0.121484332,
            -0.122213885,
            -0.122943439,
            -0.123720855,
            -0.124693595,
            -0.12566632,
            -0.126639068,
            -0.127611801,
            -0.128584534,
            -0.129557267,
            -0.13053,
            -0.131502733,
            -0.132475466,
            -0.133448198,
            -0.134420931,
            -0.135393679,
            -0.136366412,
            -0.137339145,
            -0.138311878,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139905021,
            -0.140634567,
            -0.141364112,
            -0.142093658,
            -0.142823219,
            -0.143552765,
            -0.144282311,
            -0.145011857,
            -0.145741418,
            -0.146470964,
            -0.14720051,
            -0.147930056,
            -0.148659617,
            -0.149389163,
            -0.150118709,
            -0.150848255,
            -0.151577815,
            -0.152307361,
            -0.153036907,
            -0.153766453,
            -0.154496014,
            -0.15522556,
            -0.155955106,
            -0.156684652,
            -0.157414213,
            -0.158143759,
            -0.158873305,
            -0.159602851,
            -0.160332412,
            -0.161061957,
            -0.161791503,
            -0.162521049,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162331492,
            -0.161601931,
            -0.160872385,
            -0.160142839,
            -0.159413293,
            -0.158683732,
            -0.157954186,
            -0.15722464,
            -0.156495094,
            -0.155765533,
            -0.155035987,
            -0.154306442,
            -0.153576896,
            -0.152847335,
            -0.152117789,
            -0.151388243,
            -0.150658697,
            -0.149929136,
            -0.14919959,
            -0.148470044,
            -0.147740498,
            -0.147010937,
            -0.146281391,
            -0.145551845,
            -0.144822299,
            -0.144092739,
            -0.143363193,
            -0.142633647,
            -0.141904101,
            -0.141174555,
            -0.140444994,
            -0.139715448,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139353544,
            -0.140083089,
            -0.14081265,
            -0.141542196,
            -0.142271742,
            -0.143001288,
            -0.143730849,
            -0.144460395,
            -0.145189941,
            -0.145919487,
            -0.146649048,
            -0.147378594,
            -0.14810814,
            -0.148837686,
            -0.149567246,
            -0.150296792,
            -0.151026338,
            -0.151755884,
            -0.152485445,
            -0.153214991,
            -0.153944537,
            -0.154674083,
            -0.155403644,
            -0.15613319,
            -0.156862736,
            -0.157592282,
            -0.158321828,
            -0.159051389,
            -0.159780934,
            -0.16051048,
            -0.161240026,
            -0.161969587,
            -0.162699133,
            -0.163428679,
            -0.164158225,
            -0.164887786,
            -0.165617332,
            -0.166346878,
            -0.167076424,
            -0.167805985,
            -0.168535531,
            -0.169265077,
            -0.169994622,
            -0.170724183,
            -0.171453729,
            -0.172183275,
            -0.172912821,
            -0.173642382,
            -0.174371928,
            -0.175693154,
            -0.177152261,
            -0.178611353,
            -0.18007046,
            -0.181529552,
            -0.182988659,
            -0.18444775,
            -0.185906857,
            -0.187365949,
            -0.188825056,
            -0.190284148,
            -0.191743255,
            -0.193202347,
            -0.194661438,
            -0.196120545,
            -0.197579652,
            -0.199205339,
            -0.200907618,
            -0.202609897,
            -0.204312176,
            -0.206014469,
            -0.207716748,
            -0.209419027,
            -0.211121306,
            -0.2128236,
            -0.214525878,
            -0.216228157,
            -0.217930436,
            -0.219632715,
            -0.221335009,
            -0.223037288,
            -0.224739566,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225622311,
            -0.226351857,
            -0.227081403,
            -0.227810949,
            -0.22854051,
            -0.229270056,
            -0.229999602,
            -0.230729148,
            -0.231458709,
            -0.232188255,
            -0.232917801,
            -0.233647346,
            -0.234376907,
            -0.235106453,
            -0.235835999,
            -0.236565545,
            -0.237335309,
            -0.238794416,
            -0.240253508,
            -0.241712615,
            -0.243171722,
            -0.244630814,
            -0.24608992,
            -0.247549012,
            -0.249008119,
            -0.250467211,
            -0.251926333,
            -0.253385425,
            -0.254844517,
            -0.256303608,
            -0.25776273,
            -0.259221822,
            -0.260680914,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.261565566,
            -0.262538314,
            -0.263511032,
            -0.26448378,
            -0.265456498,
            -0.266429245,
            -0.267401963,
            -0.268374681,
            -0.269347429,
            -0.270320147,
            -0.271292895,
            -0.272265613,
            -0.273238361,
            -0.274211079,
            -0.275183797,
            -0.276156545,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.275934428,
            -0.27496168,
            -0.273988962,
            -0.273016214,
            -0.272043496,
            -0.271070778,
            -0.270098031,
            -0.269125313,
            -0.268152565,
            -0.267179847,
            -0.266207099,
            -0.265234381,
            -0.264261663,
            -0.263288915,
            -0.262316197,
            -0.261343449,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260347754,
            -0.258888632,
            -0.25742954,
            -0.255970448,
            -0.254511356,
            -0.253052235,
            -0.251593143,
            -0.250134051,
            -0.248674944,
            -0.247215837,
            -0.24575673,
            -0.244297639,
            -0.242838532,
            -0.24137944,
            -0.239920333,
            -0.238461226,
            -0.237128511,
            -0.236398965,
            -0.235669404,
            -0.234939858,
            -0.234210312,
            -0.233480766,
            -0.232751206,
            -0.23202166,
            -0.231292114,
            -0.230562568,
            -0.229833007,
            -0.229103461,
            -0.228373915,
            -0.227644369,
            -0.226914808,
            -0.226185262,
            -0.225455716,
            -0.22472617,
            -0.223996609,
            -0.223267063,
            -0.222537518,
            -0.221807972,
            -0.221078426,
            -0.220348865,
            -0.219619319,
            -0.218889773,
            -0.218160227,
            -0.217430666,
            -0.21670112,
            -0.215971574,
            -0.215242028,
            -0.214512467,
            -0.213782921,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213074431,
            -0.212101698,
            -0.211128965,
            -0.210156232,
            -0.209183499,
            -0.208210766,
            -0.207238033,
            -0.206265301,
            -0.205292568,
            -0.204319835,
            -0.203347102,
            -0.202374369,
            -0.201401636,
            -0.200428903,
            -0.19945617,
            -0.198483437,
            -0.197642833,
            -0.196913287,
            -0.196183741,
            -0.19545418,
            -0.194724634,
            -0.193995088,
            -0.193265542,
            -0.192535982,
            -0.191806436,
            -0.19107689,
            -0.190347344,
            -0.189617783,
            -0.188888237,
            -0.188158691,
            -0.187429145,
            -0.186699584,
            -0.185665578,
            -0.184206486,
            -0.182747379,
            -0.181288287,
            -0.17982918,
            -0.178370088,
            -0.176910982,
            -0.17545189,
            -0.173992783,
            -0.172533691,
            -0.171074599,
            -0.169615492,
            -0.168156385,
            -0.166697294,
            -0.165238202,
            -0.163779095,
            -0.162320003,
            -0.160860896,
            -0.159401804,
            -0.157942697,
            -0.156483606,
            -0.155024499,
            -0.153565407,
            -0.1521063,
            -0.150647208,
            -0.149188101,
            -0.147729009,
            -0.146269903,
            -0.144810811,
            -0.143351704,
            -0.141892612,
            -0.140433505,
            -0.138934195,
            -0.137231916,
            -0.135529622,
            -0.133827344,
            -0.13212505,
            -0.130422771,
            -0.128720477,
            -0.127018198,
            -0.125315905,
            -0.123613626,
            -0.121911339,
            -0.120209053,
            -0.118506767,
            -0.116804481,
            -0.115102194,
            -0.113399908,
            -0.111735918,
            -0.111006372,
            -0.110276818,
            -0.109547272,
            -0.108817726,
            -0.10808818,
            -0.107358634,
            -0.106629081,
            -0.105899535,
            -0.105169989,
            -0.104440443,
            -0.10371089,
            -0.102981344,
            -0.102251798,
            -0.101522252,
            -0.100792699,
            -0.100063153,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.099425517,
            -0.0986959636,
            -0.0979664177,
            -0.0972368643,
            -0.0965073183,
            -0.0957777649,
            -0.095048219,
            -0.0943186656,
            -0.0935891196,
            -0.0928595662,
            -0.0921300203,
            -0.0914004743,
            -0.0906709209,
            -0.0899413675,
            -0.0892118216,
            -0.0884822756,
            -0.0871093422,
            -0.0854070559,
            -0.0837047771,
            -0.0820024908,
            -0.0803002119,
            -0.0785979256,
            -0.0768956468,
            -0.0751933604,
            -0.0734910816,
            -0.0717888027,
            -0.0700865164,
            -0.0683842301,
            -0.0666819513,
            -0.0649796724,
            -0.0632773861,
            -0.0615751036,
            -0.0603936538,
            -0.0596641041,
            -0.0589345545,
            -0.0582050085,
            -0.0574754551,
            -0.0567459092,
            -0.0560163558,
            -0.0552868098,
            -0.0545572601,
            -0.0538277104,
            -0.0530981608,
            -0.0523686111,
            -0.0516390614,
            -0.0509095117,
            -0.0501799621,
            -0.0494504124,
            -0.0487208627,
            -0.047991313,
            -0.0472617634,
            -0.0465322137,
            -0.045802664,
            -0.0450731143,
            -0.0443435647,
            -0.043614015,
            -0.0428844653,
            -0.0421549156,
            -0.041425366,
            -0.0406958163,
            -0.0399662666,
            -0.0392367169,
            -0.0385071672,
            -0.0377776176,
            -0.0368412659,
            -0.0353821665,
            -0.0339230672,
            -0.0324639678,
            -0.0310048703,
            -0.029545771,
            -0.0280866716,
            -0.0266275741,
            -0.0251684748,
            -0.0237093754,
            -0.0222502761,
            -0.0207911767,
            -0.0193320774,
            -0.017872978,
            -0.0164138786,
            -0.0149547793,
            -0.013457384,
            -0.0117551014,
            -0.0100528188,
            -0.00835053623,
            -0.00664825412,
            -0.004945972,
            -0.00324368943,
            -0.00154140685,
            0.00016087573,
            0.00186315738,
            0.00356543995,
            0.00526772253,
            0.00697000511,
            0.00867228769,
            0.0103745703,
            0.0120768528,
            0.0137714753,
            0.0152305737,
            0.0166896731,
            0.0181487724,
            0.0196078718,
            0.0210669711,
            0.0225260705,
            0.0239851698,
            0.0254442692,
            0.0269033685,
            0.0283624679,
            0.0298215654,
            0.0312806666,
            0.0327397659,
            0.0341988653,
            0.0356579646,
            0.037117064,
            0.0385761596,
            0.040035259,
            0.0414943583,
            0.0429534577,
            0.044412557,
            0.0458716564,
            0.0473307557,
            0.0487898551,
            0.0502489544,
            0.0517080538,
            0.0531671531,
            0.0546262525,
            0.0560853519,
            0.0575444512,
            0.0590035468,
            0.0604626462,
            0.0615426116,
            0.0625153482,
            0.0634880811,
            0.064460814,
            0.0654335469,
            0.0664062798,
            0.0673790053,
            0.0683517382,
            0.0693244711,
            0.070297204,
            0.0712699369,
            0.0722426698,
            0.0732154027,
            0.0741881356,
            0.0751608685,
            0.0761336014,
            0.0769474059,
            0.0776769519,
            0.0784065053,
            0.0791360512,
            0.0798656046,
            0.0805951506,
            0.081324704,
            0.0820542499,
            0.0827838033,
            0.0835133493,
            0.0842429027,
            0.0849724486,
            0.085702002,
            0.086431548,
            0.0871611014,
            0.0878906474,
            0.0886202008,
            0.0893497467,
            0.0900793001,
            0.0908088461,
            0.0915383995,
            0.0922679454,
            0.0929974988,
            0.0937270448,
            0.0944565982,
            0.0951861441,
            0.0959156975,
            0.0966452435,
            0.0973747969,
            0.0981043428,
            0.0988338962,
            0.0995634422,
            0.100292996,
            0.101022542,
            0.101752095,
            0.102481641,
            0.103211194,
            0.10394074,
            0.104670286,
            0.10539984,
            0.106129393,
            0.106858939,
            0.107588485,
            0.108318038,
            0.109047592,
            0.109777138,
            0.110506684,
            0.111236237,
            0.111965783,
            0.112695336,
            0.113424882,
            0.114154436,
            0.114883982,
            0.115613535,
            0.116343081,
            0.117072634,
            0.11780218,
            0.118531734,
            0.11926128,
            0.119990833,
            0.120720379,
            0.121449932,
            0.122179478,
            0.122909032,
            0.123674959,
            0.124647692,
            0.125620425,
            0.126593158,
            0.127565891,
            0.128538623,
            0.129511356,
            0.130484089,
            0.131456822,
            0.132429555,
            0.133402288,
            0.134375021,
            0.135347754,
            0.136320487,
            0.13729322,
            0.138265952,
            0.13919273,
            0.138219997,
            0.137247264,
            0.136274531,
            0.135301799,
            0.134329066,
            0.133356333,
            0.1323836,
            0.131410867,
            0.130438134,
            0.129465401,
            0.128492668,
            0.127519935,
            0.126547202,
            0.12557447,
            0.124601737,
            0.123629004,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.124157496,
            0.125130236,
            0.126102969,
            0.127075702,
            0.128048435,
            0.129021168,
            0.129993901,
            0.130966634,
            0.131939366,
            0.132912099,
            0.133884832,
            0.134857565,
            0.135830298,
            0.136803031,
            0.137775749,
            0.138748497,
            0.139594838,
            0.140324399,
            0.141053945,
            0.141783491,
            0.142513037,
            0.143242598,
            0.143972144,
            0.144701689,
            0.145431235,
            0.146160796,
            0.146890342,
            0.147619888,
            0.148349434,
            0.149078995,
            0.149808541,
            0.150538087,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150739148,
            0.149036869,
            0.147334576,
            0.145632297,
            0.143930018,
            0.142227739,
            0.140525445,
            0.138823166,
            0.137120888,
            0.135418609,
            0.133716315,
            0.132014036,
            0.130311757,
            0.128609478,
            0.1269072,
            0.125204906,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123156041,
            0.122426495,
            0.121696942,
            0.120967396,
            0.120237842,
            0.119508296,
            0.118778743,
            0.118049197,
            0.117319643,
            0.116590098,
            0.115860544,
            0.115130998,
            0.114401445,
            0.113671899,
            0.112942345,
            0.112212799,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111954294,
            0.112683848,
            0.113413393,
            0.114142947,
            0.114872493,
            0.115602046,
            0.116331592,
            0.117061146,
            0.117790692,
            0.118520245,
            0.119249791,
            0.119979344,
            0.12070889,
            0.121438444,
            0.12216799,
            0.122897543,
            0.123659641,
            0.124632373,
            0.125605106,
            0.126577839,
            0.127550572,
            0.128523305,
            0.129496038,
            0.130468771,
            0.131441504,
            0.132414237,
            0.13338697,
            0.134359702,
            0.135332435,
            0.136305168,
            0.137277901,
            0.138250634,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139859095,
            0.140588641,
            0.141318187,
            0.142047733,
            0.142777294,
            0.14350684,
            0.144236386,
            0.144965932,
            0.145695493,
            0.146425039,
            0.147154585,
            0.14788413,
            0.148613691,
            0.149343237,
            0.150072783,
            0.150802329,
            0.15153189,
            0.152261436,
            0.152990997,
            0.153720543,
            0.154450104,
            0.15517965,
            0.15590921,
            0.156638756,
            0.157368317,
            0.158097863,
            0.158827424,
            0.15955697,
            0.160286531,
            0.161016077,
            0.161745638,
            0.162475184,
            0.16320473,
            0.163934276,
            0.164663821,
            0.165393367,
            0.166122913,
            0.166852459,
            0.167582005,
            0.168311551,
            0.169041097,
            0.169770643,
            0.170500189,
            0.171229735,
            0.171959281,
            0.172688827,
            0.173418373,
            0.174147919,
            0.174877465,
            0.175607026,
            0.176336572,
            0.177066118,
            0.177795663,
            0.178525224,
            0.17925477,
            0.179984316,
            0.180713862,
            0.181443423,
            0.182172969,
            0.182902515,
            0.183632061,
            0.184361622,
            0.185091168,
            0.185820714,
            0.187193647,
            0.189625472,
            0.192057312,
            0.194489136,
            0.196920976,
            0.199352801,
            0.201784641,
            0.204216465,
            0.206648305,
            0.20908013,
            0.21151197,
            0.213943794,
            0.216375634,
            0.218807459,
            0.221239299,
            0.223671123,
            0.225674033,
            0.226403579,
            0.22713314,
            0.227862686,
            0.228592232,
            0.229321778,
            0.230051339,
            0.230780885,
            0.231510431,
            0.232239977,
            0.232969537,
            0.233699083,
            0.234428629,
            0.235158175,
            0.235887736,
            0.236617282,
            0.237346828,
            0.238076374,
            0.238805935,
            0.239535481,
            0.240265027,
            0.240994573,
            0.241724133,
            0.242453679,
            0.243183225,
            0.243912771,
            0.244642332,
            0.245371878,
            0.246101424,
            0.24683097,
            0.247560531,
            0.248290077
          ],
          [
            0.237254918,
            0.235795826,
            0.234336719,
            0.232877627,
            0.23141852,
            0.229959428,
            0.228500322,
            0.22704123,
            0.225582123,
            0.224123031,
            0.222663924,
            0.221204832,
            0.219745725,
            0.218286633,
            0.216827527,
            0.215368435,
            0.213909328,
            0.213087872,
            0.212358326,
            0.21162878,
            0.210899234,
            0.210169688,
            0.209440142,
            0.208710596,
            0.20798105,
            0.207251504,
            0.206521958,
            0.205792412,
            0.205062866,
            0.20433332,
            0.203603774,
            0.202874228,
            0.202144682,
            0.201233223,
            0.20026049,
            0.199287757,
            0.198315009,
            0.197342277,
            0.196369544,
            0.195396811,
            0.194424063,
            0.19345133,
            0.192478597,
            0.191505864,
            0.190533116,
            0.189560384,
            0.188587651,
            0.187614918,
            0.18664217,
            0.185820714,
            0.185091168,
            0.184361622,
            0.183632061,
            0.182902515,
            0.182172969,
            0.181443423,
            0.180713862,
            0.179984316,
            0.17925477,
            0.178525224,
            0.177795663,
            0.177066118,
            0.176336572,
            0.175607026,
            0.174877465,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174687907,
            0.175417453,
            0.176146999,
            0.176876545,
            0.177606106,
            0.178335652,
            0.179065198,
            0.179794744,
            0.180524305,
            0.18125385,
            0.181983396,
            0.182712942,
            0.183442503,
            0.184172049,
            0.184901595,
            0.185631141,
            0.186389416,
            0.187362149,
            0.188334897,
            0.18930763,
            0.190280363,
            0.191253096,
            0.192225844,
            0.193198577,
            0.194171309,
            0.195144042,
            0.19611679,
            0.197089523,
            0.198062256,
            0.199034989,
            0.200007737,
            0.20098047,
            0.201953202,
            0.202684656,
            0.203414202,
            0.204143748,
            0.204873294,
            0.20560284,
            0.206332386,
            0.207061931,
            0.207791477,
            0.208521023,
            0.209250569,
            0.209980115,
            0.210709661,
            0.211439207,
            0.212168753,
            0.212898299,
            0.213627845,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.214265496,
            0.214995041,
            0.215724587,
            0.216454133,
            0.217183694,
            0.21791324,
            0.218642786,
            0.219372332,
            0.220101893,
            0.220831439,
            0.221560985,
            0.222290531,
            0.223020077,
            0.223749638,
            0.224479184,
            0.22520873,
            0.225938275,
            0.226667836,
            0.227397382,
            0.228126928,
            0.228856474,
            0.229586035,
            0.230315581,
            0.231045127,
            0.231774673,
            0.232504234,
            0.23323378,
            0.233963326,
            0.234692872,
            0.235422432,
            0.236151978,
            0.236881524,
            0.23761107,
            0.238340631,
            0.239070177,
            0.239799723,
            0.240529269,
            0.24125883,
            0.241988376,
            0.242717922,
            0.243447468,
            0.244177029,
            0.244906574,
            0.24563612,
            0.246365666,
            0.247095227,
            0.247824773,
            0.248554319,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.248847291,
            0.248117745,
            0.247388184,
            0.246658638,
            0.245929092,
            0.245199546,
            0.244469985,
            0.243740439,
            0.243010893,
            0.242281348,
            0.241551787,
            0.240822241,
            0.240092695,
            0.239363149,
            0.238633588,
            0.237904042,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.236720681,
            0.235991135,
            0.235261574,
            0.234532028,
            0.233802482,
            0.233072937,
            0.232343376,
            0.23161383,
            0.230884284,
            0.230154738,
            0.229425192,
            0.228695631,
            0.227966085,
            0.227236539,
            0.226506993,
            0.225777432,
            0.225047886,
            0.22431834,
            0.223588794,
            0.222859234,
            0.222129688,
            0.221400142,
            0.220670596,
            0.219941035,
            0.219211489,
            0.218481943,
            0.217752397,
            0.217022836,
            0.21629329,
            0.215563744,
            0.214834198,
            0.214104638,
            0.213375092,
            0.212645546,
            0.211916,
            0.211186454,
            0.210456908,
            0.209727362,
            0.208997816,
            0.20826827,
            0.207538724,
            0.206809178,
            0.206079632,
            0.205350086,
            0.20462054,
            0.203890994,
            0.203161448,
            0.202431902,
            0.201616198,
            0.20064345,
            0.199670717,
            0.198697984,
            0.197725251,
            0.196752504,
            0.195779771,
            0.194807038,
            0.193834305,
            0.192861557,
            0.191888824,
            0.190916091,
            0.189943358,
            0.18897061,
            0.187997878,
            0.187025145,
            0.186107934,
            0.185378388,
            0.184648842,
            0.183919296,
            0.183189735,
            0.182460189,
            0.181730643,
            0.181001097,
            0.180271536,
            0.17954199,
            0.178812444,
            0.178082898,
            0.177353337,
            0.176623791,
            0.175894246,
            0.1751647,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.175130233,
            0.175859779,
            0.176589325,
            0.177318871,
            0.178048432,
            0.178777978,
            0.179507524,
            0.18023707,
            0.180966631,
            0.181696177,
            0.182425722,
            0.183155268,
            0.183884829,
            0.184614375,
            0.185343921,
            0.186073467,
            0.18697919,
            0.187951922,
            0.188924655,
            0.189897403,
            0.190870136,
            0.191842869,
            0.192815602,
            0.19378835,
            0.194761083,
            0.195733815,
            0.196706548,
            0.197679296,
            0.198652029,
            0.199624762,
            0.200597495,
            0.201570243,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201501295,
            0.200528562,
            0.199555829,
            0.198583096,
            0.197610348,
            0.196637616,
            0.195664883,
            0.19469215,
            0.193719417,
            0.192746669,
            0.191773936,
            0.190801203,
            0.189828455,
            0.188855723,
            0.18788299,
            0.186910257,
            0.186021775,
            0.185292214,
            0.184562668,
            0.183833122,
            0.183103576,
            0.18237403,
            0.181644469,
            0.180914924,
            0.180185378,
            0.179455832,
            0.178726271,
            0.177996725,
            0.177267179,
            0.176537633,
            0.175808072,
            0.175078526,
            0.17434898,
            0.173619434,
            0.172889888,
            0.172160342,
            0.171430796,
            0.17070125,
            0.169971704,
            0.169242159,
            0.168512613,
            0.167783067,
            0.167053521,
            0.166323975,
            0.165594429,
            0.164864883,
            0.164135337,
            0.163405791,
            0.162676245,
            0.161946684,
            0.161217138,
            0.160487577,
            0.159758031,
            0.159028471,
            0.158298925,
            0.157569364,
            0.156839818,
            0.156110257,
            0.155380711,
            0.154651165,
            0.153921604,
            0.153192043,
            0.152462497,
            0.151732951,
            0.151003391,
            0.150273845,
            0.149544299,
            0.148814738,
            0.148085192,
            0.147355646,
            0.1466261,
            0.145896539,
            0.145166993,
            0.144437447,
            0.143707901,
            0.14297834,
            0.142248794,
            0.141519248,
            0.140789703,
            0.140060142,
            0.139330596,
            0.138396159,
            0.137423426,
            0.136450693,
            0.13547796,
            0.134505227,
            0.133532494,
            0.132559761,
            0.131587029,
            0.130614296,
            0.129641563,
            0.12866883,
            0.127696097,
            0.126723364,
            0.125750631,
            0.124777898,
            0.123805165,
            0.123006687,
            0.122277133,
            0.121547587,
            0.120818034,
            0.120088488,
            0.119358942,
            0.118629389,
            0.117899835,
            0.117170289,
            0.116440743,
            0.11571119,
            0.114981636,
            0.11425209,
            0.113522545,
            0.112792991,
            0.112063445,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111425802,
            0.110696256,
            0.109966703,
            0.109237157,
            0.108507603,
            0.107778057,
            0.107048504,
            0.106318958,
            0.105589405,
            0.104859859,
            0.104130305,
            0.103400759,
            0.102671206,
            0.10194166,
            0.101212114,
            0.100482561,
            0.0997530073,
            0.0990234613,
            0.0982939154,
            0.097564362,
            0.096834816,
            0.0961052626,
            0.0953757167,
            0.0946461633,
            0.0939166173,
            0.0931870639,
            0.092457518,
            0.0917279646,
            0.0909984186,
            0.0902688652,
            0.0895393193,
            0.0888097659,
            0.0878734142,
            0.0861711353,
            0.084468849,
            0.0827665702,
            0.0810642838,
            0.079362005,
            0.0776597187,
            0.0759574398,
            0.0742551535,
            0.0725528747,
            0.0708505958,
            0.0691483095,
            0.0674460232,
            0.0657437444,
            0.0640414655,
            0.0623391792,
            0.0607211515,
            0.0599916019,
            0.0592620522,
            0.0585325025,
            0.0578029528,
            0.0570734031,
            0.0563438535,
            0.0556143038,
            0.0548847541,
            0.0541552044,
            0.0534256548,
            0.0526961051,
            0.0519665554,
            0.0512370057,
            0.0505074561,
            0.0497779064,
            0.0490483567,
            0.0476179793,
            0.04615888,
            0.0446997806,
            0.0432406813,
            0.0417815819,
            0.0403224826,
            0.0388633832,
            0.0374042839,
            0.0359451883,
            0.0344860889,
            0.0330269895,
            0.0315678902,
            0.0301087908,
            0.0286496915,
            0.0271905921,
            0.0257314928,
            0.0242723934,
            0.0228132941,
            0.0213541947,
            0.0198950954,
            0.018435996,
            0.0169768967,
            0.0155177983,
            0.0140586989,
            0.0125996005,
            0.0111405011,
            0.00968140177,
            0.00822230242,
            0.00676320307,
            0.00530410372,
            0.00384500436,
            0.00238590501,
            0.000754472101,
            -0.000947810244,
            -0.00265009236,
            -0.00435237493,
            -0.00605465751,
            -0.00775694009,
            -0.00945922174,
            -0.0111615043,
            -0.0128637869,
            -0.0145660695,
            -0.016268352,
            -0.0179706346,
            -0.0196729172,
            -0.0213751979,
            -0.0230774805,
            -0.0247797631,
            -0.0263403486,
            -0.027799448,
            -0.0292585474,
            -0.0307176467,
            -0.0321767442,
            -0.0336358435,
            -0.0350949429,
            -0.0365540422,
            -0.0380131416,
            -0.039472241,
            -0.0409313403,
            -0.0423904397,
            -0.043849539,
            -0.0453086384,
            -0.0467677377,
            -0.0482268371,
            -0.0493527539,
            -0.0500823036,
            -0.0508118533,
            -0.0515414029,
            -0.0522709526,
            -0.0530005023,
            -0.053730052,
            -0.0544596016,
            -0.0551891513,
            -0.055918701,
            -0.0566482507,
            -0.0573778003,
            -0.05810735,
            -0.0588368997,
            -0.0595664494,
            -0.0602959991,
            -0.0613472387,
            -0.063049525,
            -0.0647518039,
            -0.0664540902,
            -0.068156369,
            -0.0698586553,
            -0.0715609342,
            -0.073263213,
            -0.0749654993,
            -0.0766677856,
            -0.0783700645,
            -0.0800723433,
            -0.0817746297,
            -0.0834769085,
            -0.0851791948,
            -0.0868814737,
            -0.0883846134,
            -0.0891141668,
            -0.0898437127,
            -0.0905732661,
            -0.0913028121,
            -0.0920323655,
            -0.0927619115,
            -0.0934914649,
            -0.0942210108,
            -0.0949505642,
            -0.0956801102,
            -0.0964096636,
            -0.0971392095,
            -0.0978687629,
            -0.0985983089,
            -0.0993278623,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0993048847,
            -0.0985753313,
            -0.0978457853,
            -0.0971162319,
            -0.096386686,
            -0.0956571326,
            -0.0949275866,
            -0.0941980332,
            -0.0934684873,
            -0.0927389339,
            -0.0920093879,
            -0.0912798345,
            -0.0905502886,
            -0.0898207352,
            -0.0890911892,
            -0.0883616358,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0886546075,
            -0.0893841535,
            -0.0901137069,
            -0.0908432528,
            -0.0915728062,
            -0.0923023522,
            -0.0930319056,
            -0.0937614515,
            -0.0944910049,
            -0.0952205509,
            -0.0959501043,
            -0.0966796502,
            -0.0974092036,
            -0.0981387496,
            -0.098868303,
            -0.099597849,
            -0.100327402,
            -0.101056948,
            -0.101786494,
            -0.10251604,
            -0.103245594,
            -0.10397514,
            -0.104704686,
            -0.105434231,
            -0.106163785,
            -0.106893331,
            -0.107622877,
            -0.108352423,
            -0.109081969,
            -0.109811522,
            -0.110541068,
            -0.111270614,
            -0.112000167,
            -0.112729713,
            -0.113459267,
            -0.11418882,
            -0.114918366,
            -0.115647919,
            -0.116377473,
            -0.117107026,
            -0.117836572,
            -0.118566126,
            -0.119295679,
            -0.120025232,
            -0.120754778,
            -0.121484332,
            -0.122213885,
            -0.122943439,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.124325946,
            -0.125298679,
            -0.126271412,
            -0.127244145,
            -0.128216878,
            -0.12918961,
            -0.130162358,
            -0.131135091,
            -0.132107824,
            -0.133080557,
            -0.13405329,
            -0.135026023,
            -0.135998756,
            -0.136971489,
            -0.137944236,
            -0.138916969,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139353544,
            -0.140083089,
            -0.14081265,
            -0.141542196,
            -0.142271742,
            -0.143001288,
            -0.143730849,
            -0.144460395,
            -0.145189941,
            -0.145919487,
            -0.146649048,
            -0.147378594,
            -0.14810814,
            -0.148837686,
            -0.149567246,
            -0.150296792,
            -0.151026338,
            -0.151755884,
            -0.152485445,
            -0.153214991,
            -0.153944537,
            -0.154674083,
            -0.155403644,
            -0.15613319,
            -0.156862736,
            -0.157592282,
            -0.158321828,
            -0.159051389,
            -0.159780934,
            -0.16051048,
            -0.161240026,
            -0.161969587,
            -0.162699133,
            -0.163428679,
            -0.164158225,
            -0.164887786,
            -0.165617332,
            -0.166346878,
            -0.167076424,
            -0.167805985,
            -0.168535531,
            -0.169265077,
            -0.169994622,
            -0.170724183,
            -0.171453729,
            -0.172183275,
            -0.172912821,
            -0.173642382,
            -0.174371928,
            -0.175693154,
            -0.177152261,
            -0.178611353,
            -0.18007046,
            -0.181529552,
            -0.182988659,
            -0.18444775,
            -0.185906857,
            -0.187365949,
            -0.188825056,
            -0.190284148,
            -0.191743255,
            -0.193202347,
            -0.194661438,
            -0.196120545,
            -0.197579652,
            -0.198705569,
            -0.199678302,
            -0.200651035,
            -0.201623768,
            -0.202596501,
            -0.203569233,
            -0.204541966,
            -0.205514699,
            -0.206487432,
            -0.207460165,
            -0.208432898,
            -0.209405631,
            -0.210378364,
            -0.211351097,
            -0.21232383,
            -0.213296562,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213857606,
            -0.214587152,
            -0.215316698,
            -0.216046244,
            -0.216775805,
            -0.217505351,
            -0.218234897,
            -0.218964443,
            -0.219694003,
            -0.220423549,
            -0.221153095,
            -0.221882641,
            -0.222612202,
            -0.223341748,
            -0.224071294,
            -0.22480084,
            -0.225570604,
            -0.227029711,
            -0.228488803,
            -0.22994791,
            -0.231407002,
            -0.232866108,
            -0.2343252,
            -0.235784292,
            -0.237243399,
            -0.238702506,
            -0.240161598,
            -0.24162069,
            -0.243079796,
            -0.244538888,
            -0.245997995,
            -0.247457087,
            -0.248916194,
            -0.249697447,
            -0.250427008,
            -0.251156539,
            -0.2518861,
            -0.25261566,
            -0.253345191,
            -0.254074752,
            -0.254804313,
            -0.255533844,
            -0.256263405,
            -0.256992966,
            -0.257722497,
            -0.258452058,
            -0.259181619,
            -0.25991115,
            -0.260640711,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260382205,
            -0.259652674,
            -0.258923113,
            -0.258193552,
            -0.257464021,
            -0.256734461,
            -0.2560049,
            -0.255275339,
            -0.254545808,
            -0.253816247,
            -0.253086686,
            -0.252357155,
            -0.251627594,
            -0.250898033,
            -0.250168502,
            -0.249438941,
            -0.248709396,
            -0.247979835,
            -0.247250289,
            -0.246520743,
            -0.245791197,
            -0.245061636,
            -0.24433209,
            -0.243602544,
            -0.242872998,
            -0.242143452,
            -0.241413891,
            -0.240684345,
            -0.239954799,
            -0.239225239,
            -0.238495693,
            -0.237766147,
            -0.236818314,
            -0.235359207,
            -0.233900115,
            -0.232441008,
            -0.230981916,
            -0.229522809,
            -0.228063717,
            -0.226604611,
            -0.225145519,
            -0.223686412,
            -0.22222732,
            -0.220768213,
            -0.219309121,
            -0.217850015,
            -0.216390923,
            -0.214931816,
            -0.213556975,
            -0.212584242,
            -0.211611509,
            -0.210638776,
            -0.209666044,
            -0.208693311,
            -0.207720578,
            -0.206747845,
            -0.205775112,
            -0.204802379,
            -0.203829646,
            -0.202856913,
            -0.20188418,
            -0.200911447,
            -0.199938715,
            -0.198965982,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198935345,
            -0.199908078,
            -0.200880811,
            -0.201853544,
            -0.202826276,
            -0.203799009,
            -0.204771742,
            -0.205744475,
            -0.206717208,
            -0.207689941,
            -0.208662674,
            -0.209635407,
            -0.21060814,
            -0.211580873,
            -0.212553605,
            -0.213526338,
            -0.212951884,
            -0.211979151,
            -0.211006418,
            -0.210033685,
            -0.209060952,
            -0.208088219,
            -0.207115486,
            -0.206142753,
            -0.20517002,
            -0.204197288,
            -0.203224555,
            -0.202251822,
            -0.201279089,
            -0.200306356,
            -0.199333623,
            -0.19836089,
            -0.197550923,
            -0.196821377,
            -0.196091831,
            -0.19536227,
            -0.194632724,
            -0.193903178,
            -0.193173632,
            -0.192444071,
            -0.191714525,
            -0.190984979,
            -0.190255433,
            -0.189525872,
            -0.188796327,
            -0.188066781,
            -0.187337235,
            -0.186607674,
            -0.185878128,
            -0.185148582,
            -0.184419036,
            -0.183689475,
            -0.182959929,
            -0.182230383,
            -0.181500837,
            -0.180771276,
            -0.18004173,
            -0.179312184,
            -0.178582639,
            -0.177853078,
            -0.177123532,
            -0.176393986,
            -0.17566444,
            -0.174934879,
            -0.173900872,
            -0.172441781,
            -0.170982674,
            -0.169523582,
            -0.168064475,
            -0.166605383,
            -0.165146276,
            -0.163687184,
            -0.162228078,
            -0.160768986,
            -0.159309894,
            -0.157850787,
            -0.15639168,
            -0.154932588,
            -0.153473496,
            -0.15201439,
            -0.150484443,
            -0.148782164,
            -0.14707987,
            -0.145377591,
            -0.143675312,
            -0.141973019,
            -0.14027074,
            -0.138568446,
            -0.136866167,
            -0.135163888,
            -0.133461595,
            -0.131759316,
            -0.130057037,
            -0.128354743,
            -0.126652464,
            -0.124950178,
            -0.123408742,
            -0.122679189,
            -0.121949635,
            -0.121220082,
            -0.120490536,
            -0.119760983,
            -0.119031429,
            -0.118301883,
            -0.11757233,
            -0.116842777,
            -0.116113223,
            -0.115383677,
            -0.114654124,
            -0.11392457,
            -0.113195017,
            -0.112465471,
            -0.111735918,
            -0.111006372,
            -0.110276818,
            -0.109547272,
            -0.108817726,
            -0.10808818,
            -0.107358634,
            -0.106629081,
            -0.105899535,
            -0.105169989,
            -0.104440443,
            -0.10371089,
            -0.102981344,
            -0.102251798,
            -0.101522252,
            -0.100792699,
            -0.100063153,
            -0.0993336067,
            -0.0986040533,
            -0.0978745073,
            -0.0971449539,
            -0.096415408,
            -0.0956858546,
            -0.0949563086,
            -0.0942267552,
            -0.0934972093,
            -0.0927676558,
            -0.0920381099,
            -0.0913085565,
            -0.0905790105,
            -0.0898494571,
            -0.0891199112,
            -0.0883903578,
            -0.0876608118,
            -0.0869312584,
            -0.0862017125,
            -0.0854721591,
            -0.0847426131,
            -0.0840130597,
            -0.0832835138,
            -0.0825539604,
            -0.0818244144,
            -0.081094861,
            -0.0803653151,
            -0.0796357691,
            -0.0789062157,
            -0.0781766623,
            -0.0774471164,
            -0.0767175704,
            -0.075344637,
            -0.0736423507,
            -0.0719400719,
            -0.0702377856,
            -0.0685355067,
            -0.0668332204,
            -0.0651309416,
            -0.0634286553,
            -0.0617263764,
            -0.0600240938,
            -0.0583218113,
            -0.0566195287,
            -0.0549172461,
            -0.0532149635,
            -0.0515126809,
            -0.0498103984,
            -0.0486289486,
            -0.047899399,
            -0.0471698493,
            -0.0464403033,
            -0.0457107499,
            -0.044981204,
            -0.0442516506,
            -0.0435221046,
            -0.0427925549,
            -0.0420630053,
            -0.0413334556,
            -0.0406039059,
            -0.0398743562,
            -0.0391448066,
            -0.0384152569,
            -0.0376857072,
            -0.0369561575,
            -0.0362266079,
            -0.0354970582,
            -0.0347675085,
            -0.0340379588,
            -0.0333084092,
            -0.0325788595,
            -0.0318493098,
            -0.0311197601,
            -0.0303902104,
            -0.0296606608,
            -0.0289311111,
            -0.0282015614,
            -0.0274720117,
            -0.0267424621,
            -0.0260129124,
            -0.0252833627,
            -0.024553813,
            -0.0238242634,
            -0.0230947137,
            -0.022365164,
            -0.0216356143,
            -0.0209060647,
            -0.0201765168,
            -0.0194469672,
            -0.0187174175,
            -0.0179878678,
            -0.0172583181,
            -0.0165287685,
            -0.0157992188,
            -0.0150696691,
            -0.0143401194,
            -0.013457384,
            -0.0117551014,
            -0.0100528188,
            -0.00835053623,
            -0.00664825412,
            -0.004945972,
            -0.00324368943,
            -0.00154140685,
            0.00016087573,
            0.00186315738,
            0.00356543995,
            0.00526772253,
            0.00697000511,
            0.00867228769,
            0.0103745703,
            0.0120768528,
            0.0137714753,
            0.0152305737,
            0.0166896731,
            0.0181487724,
            0.0196078718,
            0.0210669711,
            0.0225260705,
            0.0239851698,
            0.0254442692,
            0.0269033685,
            0.0283624679,
            0.0298215654,
            0.0312806666,
            0.0327397659,
            0.0341988653,
            0.0356579646,
            0.037117064,
            0.0385761596,
            0.040035259,
            0.0414943583,
            0.0429534577,
            0.044412557,
            0.0458716564,
            0.0473307557,
            0.0487898551,
            0.0502489544,
            0.0517080538,
            0.0531671531,
            0.0546262525,
            0.0560853519,
            0.0575444512,
            0.0590035468,
            0.0604626462,
            0.0615426116,
            0.0625153482,
            0.0634880811,
            0.064460814,
            0.0654335469,
            0.0664062798,
            0.0673790053,
            0.0683517382,
            0.0693244711,
            0.070297204,
            0.0712699369,
            0.0722426698,
            0.0732154027,
            0.0741881356,
            0.0751608685,
            0.0761336014,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0768554956,
            0.0775850415,
            0.0783145949,
            0.0790441409,
            0.0797736943,
            0.0805032402,
            0.0812327936,
            0.0819623396,
            0.082691893,
            0.0834214389,
            0.0841509923,
            0.0848805383,
            0.0856100917,
            0.0863396376,
            0.087069191,
            0.087798737,
            0.0885282904,
            0.0892578363,
            0.0899873897,
            0.0907169357,
            0.0914464891,
            0.092176035,
            0.092905581,
            0.0936351344,
            0.0943646878,
            0.0950942338,
            0.0958237797,
            0.0965533331,
            0.0972828865,
            0.0980124325,
            0.0987419784,
            0.0994715318,
            0.100201078,
            0.100930631,
            0.101660177,
            0.102389731,
            0.103119276,
            0.10384883,
            0.104578376,
            0.105307929,
            0.106037475,
            0.106767029,
            0.107496575,
            0.108226128,
            0.108955674,
            0.109685227,
            0.110414773,
            0.111144327,
            0.111873873,
            0.112603426,
            0.113332972,
            0.114062525,
            0.114792071,
            0.115521625,
            0.116251171,
            0.116980724,
            0.11771027,
            0.118439823,
            0.119169369,
            0.119898923,
            0.120628469,
            0.121358022,
            0.122087568,
            0.122817114,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.122874565,
            0.122145012,
            0.121415466,
            0.120685913,
            0.119956367,
            0.119226813,
            0.118497267,
            0.117767714,
            0.117038168,
            0.116308615,
            0.115579069,
            0.114849515,
            0.114119969,
            0.113390416,
            0.11266087,
            0.111931317,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.112235777,
            0.112965323,
            0.113694876,
            0.114424422,
            0.115153976,
            0.115883522,
            0.116613075,
            0.117342621,
            0.118072174,
            0.11880172,
            0.119531274,
            0.12026082,
            0.120990373,
            0.121719919,
            0.122449473,
            0.123179018,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123426035,
            0.122696482,
            0.121966936,
            0.121237382,
            0.120507836,
            0.119778283,
            0.119048737,
            0.118319184,
            0.117589638,
            0.116860084,
            0.116130538,
            0.115400985,
            0.114671439,
            0.113941893,
            0.11321234,
            0.112482786,
            0.11175324,
            0.111023687,
            0.110294141,
            0.109564587,
            0.108835042,
            0.108105496,
            0.107375942,
            0.106646396,
            0.105916843,
            0.105187297,
            0.104457743,
            0.103728198,
            0.102998644,
            0.102269098,
            0.101539545,
            0.100809999,
            0.100080445,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100097679,
            0.100827232,
            0.101556778,
            0.102286331,
            0.103015877,
            0.103745431,
            0.104474977,
            0.10520453,
            0.105934076,
            0.106663629,
            0.107393175,
            0.108122729,
            0.108852275,
            0.109581828,
            0.110311374,
            0.11104092,
            0.111770473,
            0.112500027,
            0.113229573,
            0.113959119,
            0.114688672,
            0.115418218,
            0.116147771,
            0.116877317,
            0.117606871,
            0.118336417,
            0.11906597,
            0.119795516,
            0.12052507,
            0.121254615,
            0.121984169,
            0.122713715,
            0.123443268,
            0.125030667,
            0.126732945,
            0.128435224,
            0.130137503,
            0.131839782,
            0.133542076,
            0.135244355,
            0.136946633,
            0.138648912,
            0.140351206,
            0.142053485,
            0.143755764,
            0.145458043,
            0.147160336,
            0.148862615,
            0.150564894,
            0.15153189,
            0.152261436,
            0.152990997,
            0.153720543,
            0.154450104,
            0.15517965,
            0.15590921,
            0.156638756,
            0.157368317,
            0.158097863,
            0.158827424,
            0.15955697,
            0.160286531,
            0.161016077,
            0.161745638,
            0.162475184,
            0.16320473,
            0.163934276,
            0.164663821,
            0.165393367,
            0.166122913,
            0.166852459,
            0.167582005,
            0.168311551,
            0.169041097,
            0.169770643,
            0.170500189,
            0.171229735,
            0.171959281,
            0.172688827,
            0.173418373,
            0.174147919,
            0.174877465,
            0.175607026,
            0.176336572,
            0.177066118,
            0.177795663,
            0.178525224,
            0.17925477,
            0.179984316,
            0.180713862,
            0.181443423,
            0.182172969,
            0.182902515,
            0.183632061,
            0.184361622,
            0.185091168,
            0.185820714,
            0.186917916,
            0.188620195,
            0.190322474,
            0.192024752,
            0.193727046,
            0.195429325,
            0.197131604,
            0.198833883,
            0.200536177,
            0.202238455,
            0.203940734,
            0.205643013,
            0.207345307,
            0.209047586,
            0.210749865,
            0.212452143,
            0.214093149,
            0.215552256,
            0.217011347,
            0.218470454,
            0.219929546,
            0.221388653,
            0.222847745,
            0.224306852,
            0.225765944,
            0.22722505,
            0.228684142,
            0.230143249,
            0.231602341,
            0.233061448,
            0.23452054,
            0.235979646,
            0.237346828,
            0.238076374,
            0.238805935,
            0.239535481,
            0.240265027,
            0.240994573,
            0.241724133,
            0.242453679,
            0.243183225,
            0.243912771,
            0.244642332,
            0.245371878,
            0.246101424,
            0.24683097,
            0.247560531,
            0.248290077
          ],
          [
            0.225490212,
            0.224031121,
            0.222572029,
            0.221112922,
            0.21965383,
            0.218194738,
            0.216735646,
            0.215276539,
            0.213817447,
            0.212358356,
            0.210899264,
            0.209440157,
            0.207981065,
            0.206521973,
            0.205062881,
            0.203603774,
            0.202144682,
            0.201110676,
            0.200137943,
            0.199165195,
            0.198192462,
            0.197219729,
            0.196246997,
            0.195274249,
            0.194301516,
            0.193328783,
            0.19235605,
            0.191383302,
            0.190410569,
            0.189437836,
            0.188465104,
            0.187492371,
            0.186519623,
            0.185728803,
            0.184999257,
            0.184269696,
            0.183540151,
            0.182810605,
            0.182081059,
            0.181351498,
            0.180621952,
            0.179892406,
            0.17916286,
            0.178433299,
            0.177703753,
            0.176974207,
            0.176244661,
            0.175515115,
            0.174785554,
            0.174056008,
            0.173326463,
            0.172596917,
            0.171867371,
            0.171137825,
            0.170408279,
            0.169678733,
            0.168949187,
            0.168219641,
            0.167490095,
            0.166760549,
            0.166031003,
            0.165301457,
            0.164571911,
            0.163842365,
            0.163112819,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162923262,
            0.163652807,
            0.164382353,
            0.165111899,
            0.165841445,
            0.166570991,
            0.167300537,
            0.168030083,
            0.168759629,
            0.169489175,
            0.170218721,
            0.170948267,
            0.171677813,
            0.172407359,
            0.173136905,
            0.173866451,
            0.174595997,
            0.175325543,
            0.176055089,
            0.176784635,
            0.177514195,
            0.178243741,
            0.178973287,
            0.179702833,
            0.180432394,
            0.18116194,
            0.181891486,
            0.182621032,
            0.183350593,
            0.184080139,
            0.184809685,
            0.185539231,
            0.186268777,
            0.187239602,
            0.188212335,
            0.189185083,
            0.190157816,
            0.191130549,
            0.192103282,
            0.193076029,
            0.194048762,
            0.195021495,
            0.195994228,
            0.196966976,
            0.197939709,
            0.198912442,
            0.199885175,
            0.200857922,
            0.201830655,
            0.202592745,
            0.203322291,
            0.204051837,
            0.204781383,
            0.205510929,
            0.206240475,
            0.206970021,
            0.207699567,
            0.208429113,
            0.209158659,
            0.209888205,
            0.210617751,
            0.211347297,
            0.212076843,
            0.212806389,
            0.213535935,
            0.214265496,
            0.214995041,
            0.215724587,
            0.216454133,
            0.217183694,
            0.21791324,
            0.218642786,
            0.219372332,
            0.220101893,
            0.220831439,
            0.221560985,
            0.222290531,
            0.223020077,
            0.223749638,
            0.224479184,
            0.22520873,
            0.225938275,
            0.226667836,
            0.227397382,
            0.228126928,
            0.228856474,
            0.229586035,
            0.230315581,
            0.231045127,
            0.231774673,
            0.232504234,
            0.23323378,
            0.233963326,
            0.234692872,
            0.235422432,
            0.236151978,
            0.236881524,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.23751916,
            0.238248721,
            0.238978267,
            0.239707813,
            0.240437359,
            0.241166919,
            0.241896465,
            0.242626011,
            0.243355557,
            0.244085103,
            0.244814664,
            0.24554421,
            0.246273756,
            0.247003302,
            0.247732863,
            0.248462409,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.248301566,
            0.24757202,
            0.246842459,
            0.246112913,
            0.245383367,
            0.244653821,
            0.24392426,
            0.243194714,
            0.242465168,
            0.241735622,
            0.241006061,
            0.240276515,
            0.23954697,
            0.238817424,
            0.238087863,
            0.237358317,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.236720681,
            0.235991135,
            0.235261574,
            0.234532028,
            0.233802482,
            0.233072937,
            0.232343376,
            0.23161383,
            0.230884284,
            0.230154738,
            0.229425192,
            0.228695631,
            0.227966085,
            0.227236539,
            0.226506993,
            0.225777432,
            0.22460556,
            0.223146468,
            0.221687376,
            0.220228285,
            0.218769178,
            0.217310086,
            0.215850994,
            0.214391902,
            0.212932795,
            0.211473703,
            0.210014611,
            0.20855552,
            0.207096413,
            0.205637321,
            0.204178229,
            0.202719137,
            0.201493636,
            0.200520903,
            0.19954817,
            0.198575437,
            0.197602689,
            0.196629956,
            0.195657223,
            0.194684491,
            0.193711758,
            0.19273901,
            0.191766277,
            0.190793544,
            0.189820796,
            0.188848063,
            0.18787533,
            0.186902598,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186107934,
            0.185378388,
            0.184648842,
            0.183919296,
            0.183189735,
            0.182460189,
            0.181730643,
            0.181001097,
            0.180271536,
            0.17954199,
            0.178812444,
            0.178082898,
            0.177353337,
            0.176623791,
            0.175894246,
            0.1751647,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.175038323,
            0.175767869,
            0.176497415,
            0.177226961,
            0.177956522,
            0.178686067,
            0.179415613,
            0.180145159,
            0.180874705,
            0.181604266,
            0.182333812,
            0.183063358,
            0.183792919,
            0.184522465,
            0.185252011,
            0.185981557,
            0.185837954,
            0.185108393,
            0.184378847,
            0.183649302,
            0.182919756,
            0.182190195,
            0.181460649,
            0.180731103,
            0.180001557,
            0.179271996,
            0.17854245,
            0.177812904,
            0.177083358,
            0.176353797,
            0.175624251,
            0.174894705,
            0.174165159,
            0.173435614,
            0.172706068,
            0.171976522,
            0.171246976,
            0.17051743,
            0.169787884,
            0.169058338,
            0.168328792,
            0.167599246,
            0.1668697,
            0.166140154,
            0.165410608,
            0.164681062,
            0.163951516,
            0.16322197,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162584335,
            0.161854774,
            0.161125228,
            0.160395667,
            0.159666121,
            0.15893656,
            0.158207014,
            0.157477453,
            0.156747907,
            0.156018347,
            0.155288801,
            0.15455924,
            0.153829694,
            0.153100133,
            0.152370587,
            0.151641026,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150273845,
            0.149544299,
            0.148814738,
            0.148085192,
            0.147355646,
            0.1466261,
            0.145896539,
            0.145166993,
            0.144437447,
            0.143707901,
            0.14297834,
            0.142248794,
            0.141519248,
            0.140789703,
            0.140060142,
            0.139330596,
            0.138396159,
            0.137423426,
            0.136450693,
            0.13547796,
            0.134505227,
            0.133532494,
            0.132559761,
            0.131587029,
            0.130614296,
            0.129641563,
            0.12866883,
            0.127696097,
            0.126723364,
            0.125750631,
            0.124777898,
            0.123805165,
            0.123006687,
            0.122277133,
            0.121547587,
            0.120818034,
            0.120088488,
            0.119358942,
            0.118629389,
            0.117899835,
            0.117170289,
            0.116440743,
            0.11571119,
            0.114981636,
            0.11425209,
            0.113522545,
            0.112792991,
            0.112063445,
            0.111333892,
            0.110604346,
            0.109874792,
            0.109145246,
            0.108415693,
            0.107686147,
            0.106956594,
            0.106227048,
            0.105497494,
            0.104767948,
            0.104038395,
            0.103308849,
            0.102579296,
            0.10184975,
            0.101120196,
            0.10039065,
            0.0996610969,
            0.098931551,
            0.0982019976,
            0.0974724516,
            0.0967428982,
            0.0960133523,
            0.0952837989,
            0.0945542529,
            0.0938246995,
            0.0930951536,
            0.0923656002,
            0.0916360542,
            0.0909065008,
            0.0901769549,
            0.0894474089,
            0.0887178555,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0878734142,
            0.0861711353,
            0.084468849,
            0.0827665702,
            0.0810642838,
            0.079362005,
            0.0776597187,
            0.0759574398,
            0.0742551535,
            0.0725528747,
            0.0708505958,
            0.0691483095,
            0.0674460232,
            0.0657437444,
            0.0640414655,
            0.0623391792,
            0.0607211515,
            0.0599916019,
            0.0592620522,
            0.0585325025,
            0.0578029528,
            0.0570734031,
            0.0563438535,
            0.0556143038,
            0.0548847541,
            0.0541552044,
            0.0534256548,
            0.0526961051,
            0.0519665554,
            0.0512370057,
            0.0505074561,
            0.0497779064,
            0.0490483567,
            0.0476179793,
            0.04615888,
            0.0446997806,
            0.0432406813,
            0.0417815819,
            0.0403224826,
            0.0388633832,
            0.0374042839,
            0.0359451883,
            0.0344860889,
            0.0330269895,
            0.0315678902,
            0.0301087908,
            0.0286496915,
            0.0271905921,
            0.0257314928,
            0.0242723934,
            0.0228132941,
            0.0213541947,
            0.0198950954,
            0.018435996,
            0.0169768967,
            0.0155177983,
            0.0140586989,
            0.0125996005,
            0.0111405011,
            0.00968140177,
            0.00822230242,
            0.00676320307,
            0.00530410372,
            0.00384500436,
            0.00238590501,
            0.000754472101,
            -0.000947810244,
            -0.00265009236,
            -0.00435237493,
            -0.00605465751,
            -0.00775694009,
            -0.00945922174,
            -0.0111615043,
            -0.0128637869,
            -0.0145660695,
            -0.016268352,
            -0.0179706346,
            -0.0196729172,
            -0.0213751979,
            -0.0230774805,
            -0.0247797631,
            -0.0263403486,
            -0.027799448,
            -0.0292585474,
            -0.0307176467,
            -0.0321767442,
            -0.0336358435,
            -0.0350949429,
            -0.0365540422,
            -0.0380131416,
            -0.039472241,
            -0.0409313403,
            -0.0423904397,
            -0.043849539,
            -0.0453086384,
            -0.0467677377,
            -0.0482268371,
            -0.0493527539,
            -0.0500823036,
            -0.0508118533,
            -0.0515414029,
            -0.0522709526,
            -0.0530005023,
            -0.053730052,
            -0.0544596016,
            -0.0551891513,
            -0.055918701,
            -0.0566482507,
            -0.0573778003,
            -0.05810735,
            -0.0588368997,
            -0.0595664494,
            -0.0602959991,
            -0.0613472387,
            -0.063049525,
            -0.0647518039,
            -0.0664540902,
            -0.068156369,
            -0.0698586553,
            -0.0715609342,
            -0.073263213,
            -0.0749654993,
            -0.0766677856,
            -0.0783700645,
            -0.0800723433,
            -0.0817746297,
            -0.0834769085,
            -0.0851791948,
            -0.0868814737,
            -0.0883846134,
            -0.0891141668,
            -0.0898437127,
            -0.0905732661,
            -0.0913028121,
            -0.0920323655,
            -0.0927619115,
            -0.0934914649,
            -0.0942210108,
            -0.0949505642,
            -0.0956801102,
            -0.0964096636,
            -0.0971392095,
            -0.0978687629,
            -0.0985983089,
            -0.0993278623,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100327402,
            -0.101056948,
            -0.101786494,
            -0.10251604,
            -0.103245594,
            -0.10397514,
            -0.104704686,
            -0.105434231,
            -0.106163785,
            -0.106893331,
            -0.107622877,
            -0.108352423,
            -0.109081969,
            -0.109811522,
            -0.110541068,
            -0.111270614,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.112178244,
            -0.112907797,
            -0.113637343,
            -0.114366896,
            -0.11509645,
            -0.115826003,
            -0.116555549,
            -0.117285103,
            -0.118014656,
            -0.118744209,
            -0.119473755,
            -0.120203309,
            -0.120932862,
            -0.121662408,
            -0.122391962,
            -0.123121515,
            -0.123958297,
            -0.12493103,
            -0.12590377,
            -0.126876503,
            -0.127849236,
            -0.128821969,
            -0.129794702,
            -0.130767435,
            -0.131740168,
            -0.132712916,
            -0.133685648,
            -0.134658381,
            -0.135631114,
            -0.136603847,
            -0.13757658,
            -0.138549313,
            -0.139445454,
            -0.140175,
            -0.140904561,
            -0.141634107,
            -0.142363653,
            -0.143093199,
            -0.143822759,
            -0.144552305,
            -0.145281851,
            -0.146011397,
            -0.146740958,
            -0.147470504,
            -0.14820005,
            -0.148929596,
            -0.149659157,
            -0.150388703,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.151026338,
            -0.151755884,
            -0.152485445,
            -0.153214991,
            -0.153944537,
            -0.154674083,
            -0.155403644,
            -0.15613319,
            -0.156862736,
            -0.157592282,
            -0.158321828,
            -0.159051389,
            -0.159780934,
            -0.16051048,
            -0.161240026,
            -0.161969587,
            -0.162699133,
            -0.163428679,
            -0.164158225,
            -0.164887786,
            -0.165617332,
            -0.166346878,
            -0.167076424,
            -0.167805985,
            -0.168535531,
            -0.169265077,
            -0.169994622,
            -0.170724183,
            -0.171453729,
            -0.172183275,
            -0.172912821,
            -0.173642382,
            -0.174371928,
            -0.175101474,
            -0.17583102,
            -0.176560581,
            -0.177290127,
            -0.178019673,
            -0.178749219,
            -0.179478779,
            -0.180208325,
            -0.180937871,
            -0.181667417,
            -0.182396978,
            -0.183126524,
            -0.18385607,
            -0.184585616,
            -0.185315162,
            -0.186044723,
            -0.186774269,
            -0.187503815,
            -0.188233376,
            -0.188962922,
            -0.189692467,
            -0.190422013,
            -0.191151559,
            -0.19188112,
            -0.192610666,
            -0.193340212,
            -0.194069758,
            -0.194799319,
            -0.195528865,
            -0.196258411,
            -0.196987957,
            -0.197717518,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198215365,
            -0.199188098,
            -0.200160831,
            -0.201133564,
            -0.202106297,
            -0.20307903,
            -0.204051763,
            -0.205024496,
            -0.205997229,
            -0.206969962,
            -0.207942694,
            -0.208915427,
            -0.20988816,
            -0.210860893,
            -0.211833626,
            -0.212806359,
            -0.213805899,
            -0.215265006,
            -0.216724098,
            -0.218183205,
            -0.219642296,
            -0.221101403,
            -0.222560495,
            -0.224019587,
            -0.225478694,
            -0.226937801,
            -0.228396893,
            -0.229855984,
            -0.231315091,
            -0.232774183,
            -0.23423329,
            -0.235692382,
            -0.237151489,
            -0.237932742,
            -0.238662288,
            -0.239391834,
            -0.240121379,
            -0.24085094,
            -0.241580486,
            -0.242310032,
            -0.243039578,
            -0.243769139,
            -0.244498685,
            -0.245228231,
            -0.245957777,
            -0.246687338,
            -0.247416884,
            -0.24814643,
            -0.248875976,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.248617485,
            -0.247887924,
            -0.247158378,
            -0.246428832,
            -0.245699286,
            -0.244969726,
            -0.24424018,
            -0.243510634,
            -0.242781088,
            -0.242051527,
            -0.241321981,
            -0.240592435,
            -0.239862889,
            -0.239133328,
            -0.238403782,
            -0.237674236,
            -0.23694469,
            -0.236215129,
            -0.235485584,
            -0.234756038,
            -0.234026492,
            -0.233296931,
            -0.232567385,
            -0.231837839,
            -0.231108293,
            -0.230378747,
            -0.229649186,
            -0.22891964,
            -0.228190094,
            -0.227460533,
            -0.226730987,
            -0.226001441,
            -0.224980831,
            -0.223278552,
            -0.221576273,
            -0.219873995,
            -0.218171716,
            -0.216469422,
            -0.214767143,
            -0.213064864,
            -0.211362585,
            -0.209660292,
            -0.207958013,
            -0.206255734,
            -0.204553455,
            -0.202851161,
            -0.201148883,
            -0.199446604,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198935345,
            -0.199908078,
            -0.200880811,
            -0.201853544,
            -0.202826276,
            -0.203799009,
            -0.204771742,
            -0.205744475,
            -0.206717208,
            -0.207689941,
            -0.208662674,
            -0.209635407,
            -0.21060814,
            -0.211580873,
            -0.212553605,
            -0.213526338,
            -0.212951884,
            -0.211979151,
            -0.211006418,
            -0.210033685,
            -0.209060952,
            -0.208088219,
            -0.207115486,
            -0.206142753,
            -0.20517002,
            -0.204197288,
            -0.203224555,
            -0.202251822,
            -0.201279089,
            -0.200306356,
            -0.199333623,
            -0.19836089,
            -0.197550923,
            -0.196821377,
            -0.196091831,
            -0.19536227,
            -0.194632724,
            -0.193903178,
            -0.193173632,
            -0.192444071,
            -0.191714525,
            -0.190984979,
            -0.190255433,
            -0.189525872,
            -0.188796327,
            -0.188066781,
            -0.187337235,
            -0.186607674,
            -0.185481757,
            -0.184022665,
            -0.182563558,
            -0.181104466,
            -0.17964536,
            -0.178186268,
            -0.176727161,
            -0.175268069,
            -0.173808962,
            -0.17234987,
            -0.170890763,
            -0.169431672,
            -0.167972565,
            -0.166513473,
            -0.165054366,
            -0.163595274,
            -0.162136167,
            -0.160677075,
            -0.159217969,
            -0.157758877,
            -0.15629977,
            -0.154840678,
            -0.153381571,
            -0.151922479,
            -0.150463372,
            -0.149004281,
            -0.147545189,
            -0.146086082,
            -0.144626975,
            -0.143167883,
            -0.141708791,
            -0.140249684,
            -0.138719738,
            -0.137017444,
            -0.135315165,
            -0.133612871,
            -0.131910592,
            -0.130208313,
            -0.12850602,
            -0.126803726,
            -0.125101447,
            -0.123399161,
            -0.121696874,
            -0.119994588,
            -0.118292302,
            -0.116590016,
            -0.114887729,
            -0.113185443,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111735918,
            -0.111006372,
            -0.110276818,
            -0.109547272,
            -0.108817726,
            -0.10808818,
            -0.107358634,
            -0.106629081,
            -0.105899535,
            -0.105169989,
            -0.104440443,
            -0.10371089,
            -0.102981344,
            -0.102251798,
            -0.101522252,
            -0.100792699,
            -0.100063153,
            -0.0993336067,
            -0.0986040533,
            -0.0978745073,
            -0.0971449539,
            -0.096415408,
            -0.0956858546,
            -0.0949563086,
            -0.0942267552,
            -0.0934972093,
            -0.0927676558,
            -0.0920381099,
            -0.0913085565,
            -0.0905790105,
            -0.0898494571,
            -0.0891199112,
            -0.0883903578,
            -0.0876608118,
            -0.0869312584,
            -0.0862017125,
            -0.0854721591,
            -0.0847426131,
            -0.0840130597,
            -0.0832835138,
            -0.0825539604,
            -0.0818244144,
            -0.081094861,
            -0.0803653151,
            -0.0796357691,
            -0.0789062157,
            -0.0781766623,
            -0.0774471164,
            -0.0767175704,
            -0.075344637,
            -0.0736423507,
            -0.0719400719,
            -0.0702377856,
            -0.0685355067,
            -0.0668332204,
            -0.0651309416,
            -0.0634286553,
            -0.0617263764,
            -0.0600240938,
            -0.0583218113,
            -0.0566195287,
            -0.0549172461,
            -0.0532149635,
            -0.0515126809,
            -0.0498103984,
            -0.0482383259,
            -0.0467792265,
            -0.0453201272,
            -0.0438610278,
            -0.0424019285,
            -0.0409428291,
            -0.0394837297,
            -0.0380246304,
            -0.036565531,
            -0.0351064317,
            -0.0336473323,
            -0.0321882367,
            -0.0307291355,
            -0.0292700361,
            -0.0278109368,
            -0.0263518374,
            -0.0251914524,
            -0.0244619027,
            -0.023732353,
            -0.0230028033,
            -0.0222732536,
            -0.021543704,
            -0.0208141543,
            -0.0200846046,
            -0.0193550549,
            -0.0186255053,
            -0.0178959556,
            -0.0171664059,
            -0.0164368562,
            -0.0157073066,
            -0.0149777569,
            -0.0142482081,
            -0.0132429227,
            -0.0115406401,
            -0.00983835757,
            -0.00813607592,
            -0.00643379334,
            -0.00473151077,
            -0.00302922819,
            -0.00132694654,
            0.000375336036,
            0.00207761861,
            0.00377990119,
            0.00548218377,
            0.00718446635,
            0.00888674892,
            0.0105890296,
            0.0122913122,
            0.013840409,
            0.0145699587,
            0.0152995083,
            0.016029058,
            0.0167586077,
            0.0174881574,
            0.0182177071,
            0.0189472549,
            0.0196768045,
            0.0204063542,
            0.0211359039,
            0.0218654536,
            0.0225950032,
            0.0233245529,
            0.0240541026,
            0.0247836523,
            0.0255361795,
            0.0269952789,
            0.0284543782,
            0.0299134776,
            0.031372577,
            0.0328316763,
            0.0342907757,
            0.035749875,
            0.0372089744,
            0.0386680737,
            0.0401271731,
            0.0415862724,
            0.0430453718,
            0.0445044711,
            0.0459635705,
            0.0474226698,
            0.0488817692,
            0.0496802516,
            0.0504098013,
            0.051139351,
            0.0518689007,
            0.0525984503,
            0.053328,
            0.054057546,
            0.0547870994,
            0.0555166453,
            0.0562461987,
            0.0569757447,
            0.0577052981,
            0.058434844,
            0.0591643974,
            0.0598939434,
            0.060623493,
            0.0615426116,
            0.0625153482,
            0.0634880811,
            0.064460814,
            0.0654335469,
            0.0664062798,
            0.0673790053,
            0.0683517382,
            0.0693244711,
            0.070297204,
            0.0712699369,
            0.0722426698,
            0.0732154027,
            0.0741881356,
            0.0751608685,
            0.0761336014,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0768554956,
            0.0775850415,
            0.0783145949,
            0.0790441409,
            0.0797736943,
            0.0805032402,
            0.0812327936,
            0.0819623396,
            0.082691893,
            0.0834214389,
            0.0841509923,
            0.0848805383,
            0.0856100917,
            0.0863396376,
            0.087069191,
            0.087798737,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0884363726,
            0.089165926,
            0.0898954719,
            0.0906250253,
            0.0913545713,
            0.0920841247,
            0.0928136706,
            0.093543224,
            0.09427277,
            0.0950023234,
            0.0957318693,
            0.0964614227,
            0.0971909687,
            0.0979205221,
            0.098650068,
            0.0993796214,
            0.100109167,
            0.100838721,
            0.101568267,
            0.10229782,
            0.103027366,
            0.10375692,
            0.104486465,
            0.105216019,
            0.105945565,
            0.106675118,
            0.107404664,
            0.108134218,
            0.108863764,
            0.109593317,
            0.110322863,
            0.111052409,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.11110986,
            0.110380307,
            0.109650761,
            0.108921207,
            0.108191662,
            0.107462108,
            0.106732562,
            0.106003009,
            0.105273463,
            0.104543909,
            0.103814363,
            0.10308481,
            0.102355264,
            0.101625711,
            0.100896165,
            0.100166611,
            0.0994370654,
            0.098707512,
            0.0979779661,
            0.0972484127,
            0.0965188667,
            0.0957893133,
            0.0950597674,
            0.094330214,
            0.093600668,
            0.0928711146,
            0.0921415687,
            0.0914120227,
            0.0906824693,
            0.0899529159,
            0.08922337,
            0.088493824,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0884306282,
            0.0891601816,
            0.0898897275,
            0.0906192809,
            0.0913488269,
            0.0920783803,
            0.0928079262,
            0.0935374796,
            0.0942670256,
            0.094996579,
            0.0957261249,
            0.0964556783,
            0.0971852243,
            0.0979147777,
            0.0986443236,
            0.099373877,
            0.0998966247,
            0.0991670713,
            0.0984375253,
            0.0977079719,
            0.096978426,
            0.0962488726,
            0.0955193266,
            0.0947897732,
            0.0940602273,
            0.0933306739,
            0.0926011279,
            0.0918715745,
            0.0911420286,
            0.0904124826,
            0.0896829292,
            0.0889533758,
            0.0882238299,
            0.0874942765,
            0.0867647305,
            0.0860351771,
            0.0853056312,
            0.0845760852,
            0.0838465318,
            0.0831169859,
            0.0823874325,
            0.0816578865,
            0.0809283331,
            0.0801987872,
            0.0794692338,
            0.0787396878,
            0.0780101344,
            0.0772805884,
            0.076551035,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0767520964,
            0.0774816424,
            0.0782111958,
            0.0789407417,
            0.0796702951,
            0.0803998411,
            0.081129387,
            0.0818589404,
            0.0825884938,
            0.0833180398,
            0.0840475857,
            0.0847771391,
            0.0855066851,
            0.0862362385,
            0.0869657844,
            0.0876953378,
            0.0884248838,
            0.0891544372,
            0.0898839831,
            0.0906135365,
            0.0913430825,
            0.0920726359,
            0.0928021818,
            0.0935317352,
            0.0942612812,
            0.0949908346,
            0.0957203805,
            0.0964499339,
            0.0971794799,
            0.0979090333,
            0.0986385792,
            0.0993681327,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100011513,
            0.101470612,
            0.102929711,
            0.104388811,
            0.10584791,
            0.107307009,
            0.108766109,
            0.110225208,
            0.111684307,
            0.113143407,
            0.114602506,
            0.116061606,
            0.117520705,
            0.118979804,
            0.120438904,
            0.121898003,
            0.123357102,
            0.125030667,
            0.126732945,
            0.128435224,
            0.130137503,
            0.131839782,
            0.133542076,
            0.135244355,
            0.136946633,
            0.138648912,
            0.140351206,
            0.142053485,
            0.143755764,
            0.145458043,
            0.147160336,
            0.148862615,
            0.150564894,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.15143998,
            0.152169526,
            0.152899086,
            0.153628632,
            0.154358193,
            0.155087739,
            0.1558173,
            0.156546846,
            0.157276407,
            0.158005953,
            0.158735514,
            0.15946506,
            0.160194606,
            0.160924166,
            0.161653727,
            0.162383273,
            0.163112819,
            0.163842365,
            0.164571911,
            0.165301457,
            0.166031003,
            0.166760549,
            0.167490095,
            0.168219641,
            0.168949187,
            0.169678733,
            0.170408279,
            0.171137825,
            0.171867371,
            0.172596917,
            0.173326463,
            0.174056008,
            0.175428942,
            0.177860767,
            0.180292606,
            0.182724431,
            0.185156271,
            0.187588096,
            0.190019935,
            0.19245176,
            0.1948836,
            0.197315425,
            0.199747264,
            0.202179089,
            0.204610929,
            0.207042754,
            0.209474593,
            0.211906418,
            0.213909328,
            0.214638874,
            0.215368435,
            0.216097981,
            0.216827527,
            0.217557073,
            0.218286633,
            0.219016179,
            0.219745725,
            0.220475271,
            0.221204832,
            0.221934378,
            0.222663924,
            0.22339347,
            0.224123031,
            0.224852577,
            0.225582123,
            0.226311669,
            0.22704123,
            0.227770776,
            0.228500322,
            0.229229867,
            0.229959428,
            0.230688974,
            0.23141852,
            0.232148066,
            0.232877627,
            0.233607173,
            0.234336719,
            0.235066265,
            0.235795826,
            0.236525372
          ],
          [
            0.201960862,
            0.200988129,
            0.200015396,
            0.199042648,
            0.198069915,
            0.197097182,
            0.196124449,
            0.195151702,
            0.194178969,
            0.193206236,
            0.192233503,
            0.191260755,
            0.190288022,
            0.189315289,
            0.188342556,
            0.187369809,
            0.186397076,
            0.185636893,
            0.184907347,
            0.184177786,
            0.18344824,
            0.182718694,
            0.181989148,
            0.181259587,
            0.180530041,
            0.179800496,
            0.17907095,
            0.178341389,
            0.177611843,
            0.176882297,
            0.176152751,
            0.17542319,
            0.174693644,
            0.173964098,
            0.173234552,
            0.172505006,
            0.17177546,
            0.171045914,
            0.170316368,
            0.169586822,
            0.168857276,
            0.16812773,
            0.167398185,
            0.166668639,
            0.165939093,
            0.165209547,
            0.164480001,
            0.163750455,
            0.163020909,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162923262,
            0.163652807,
            0.164382353,
            0.165111899,
            0.165841445,
            0.166570991,
            0.167300537,
            0.168030083,
            0.168759629,
            0.169489175,
            0.170218721,
            0.170948267,
            0.171677813,
            0.172407359,
            0.173136905,
            0.173866451,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.175233632,
            0.175963178,
            0.176692724,
            0.17742227,
            0.178151831,
            0.178881377,
            0.179610923,
            0.180340469,
            0.18107003,
            0.181799576,
            0.182529122,
            0.183258668,
            0.183988228,
            0.184717774,
            0.18544732,
            0.186176866,
            0.187748939,
            0.189451233,
            0.191153511,
            0.19285579,
            0.194558069,
            0.196260363,
            0.197962642,
            0.199664921,
            0.201367199,
            0.203069493,
            0.204771772,
            0.206474051,
            0.20817633,
            0.209878623,
            0.211580902,
            0.213283181,
            0.214265496,
            0.214995041,
            0.215724587,
            0.216454133,
            0.217183694,
            0.21791324,
            0.218642786,
            0.219372332,
            0.220101893,
            0.220831439,
            0.221560985,
            0.222290531,
            0.223020077,
            0.223749638,
            0.224479184,
            0.22520873,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225754455,
            0.226484016,
            0.227213562,
            0.227943107,
            0.228672653,
            0.229402214,
            0.23013176,
            0.230861306,
            0.231590852,
            0.232320398,
            0.233049959,
            0.233779505,
            0.234509051,
            0.235238597,
            0.235968158,
            0.236697704,
            0.23742725,
            0.238156796,
            0.238886356,
            0.239615902,
            0.240345448,
            0.241074994,
            0.241804555,
            0.242534101,
            0.243263647,
            0.243993193,
            0.244722754,
            0.2454523,
            0.246181846,
            0.246911392,
            0.247640952,
            0.248370498,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.248301566,
            0.24757202,
            0.246842459,
            0.246112913,
            0.245383367,
            0.244653821,
            0.24392426,
            0.243194714,
            0.242465168,
            0.241735622,
            0.241006061,
            0.240276515,
            0.23954697,
            0.238817424,
            0.238087863,
            0.237358317,
            0.236628771,
            0.235899225,
            0.235169664,
            0.234440118,
            0.233710572,
            0.232981026,
            0.232251465,
            0.231521919,
            0.230792373,
            0.230062827,
            0.229333267,
            0.228603721,
            0.227874175,
            0.227144629,
            0.226415068,
            0.225685522,
            0.224955976,
            0.22422643,
            0.223496869,
            0.222767323,
            0.222037777,
            0.221308231,
            0.220578671,
            0.219849125,
            0.219119579,
            0.218390033,
            0.217660487,
            0.216930926,
            0.21620138,
            0.215471834,
            0.214742288,
            0.214012727,
            0.213283181,
            0.212553635,
            0.211824089,
            0.211094543,
            0.210364997,
            0.209635451,
            0.208905905,
            0.20817636,
            0.207446814,
            0.206717268,
            0.205987722,
            0.205258176,
            0.20452863,
            0.203799084,
            0.203069538,
            0.202339992,
            0.201493636,
            0.200520903,
            0.19954817,
            0.198575437,
            0.197602689,
            0.196629956,
            0.195657223,
            0.194684491,
            0.193711758,
            0.19273901,
            0.191766277,
            0.190793544,
            0.189820796,
            0.188848063,
            0.18787533,
            0.186902598,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185654119,
            0.184924573,
            0.184195027,
            0.183465481,
            0.18273592,
            0.182006374,
            0.181276828,
            0.180547282,
            0.179817721,
            0.179088175,
            0.178358629,
            0.177629083,
            0.176899523,
            0.176169977,
            0.175440431,
            0.174710885,
            0.173981339,
            0.173251793,
            0.172522247,
            0.171792701,
            0.171063155,
            0.170333609,
            0.169604063,
            0.168874517,
            0.168144971,
            0.167415425,
            0.166685879,
            0.165956333,
            0.165226787,
            0.164497241,
            0.163767695,
            0.163038149,
            0.162308589,
            0.161579043,
            0.160849482,
            0.160119936,
            0.159390375,
            0.158660829,
            0.157931268,
            0.157201722,
            0.156472161,
            0.155742615,
            0.155013055,
            0.154283509,
            0.153553963,
            0.152824402,
            0.152094841,
            0.151365295,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150273845,
            0.149544299,
            0.148814738,
            0.148085192,
            0.147355646,
            0.1466261,
            0.145896539,
            0.145166993,
            0.144437447,
            0.143707901,
            0.14297834,
            0.142248794,
            0.141519248,
            0.140789703,
            0.140060142,
            0.139330596,
            0.138396159,
            0.137423426,
            0.136450693,
            0.13547796,
            0.134505227,
            0.133532494,
            0.132559761,
            0.131587029,
            0.130614296,
            0.129641563,
            0.12866883,
            0.127696097,
            0.126723364,
            0.125750631,
            0.124777898,
            0.123805165,
            0.123006687,
            0.122277133,
            0.121547587,
            0.120818034,
            0.120088488,
            0.119358942,
            0.118629389,
            0.117899835,
            0.117170289,
            0.116440743,
            0.11571119,
            0.114981636,
            0.11425209,
            0.113522545,
            0.112792991,
            0.112063445,
            0.110903054,
            0.109443955,
            0.107984856,
            0.106525756,
            0.105066657,
            0.103607558,
            0.102148458,
            0.100689359,
            0.0992302597,
            0.0977711678,
            0.096312061,
            0.0948529691,
            0.0933938622,
            0.0919347703,
            0.0904756635,
            0.0890165716,
            0.0878963917,
            0.0871668458,
            0.0864372924,
            0.0857077464,
            0.084978193,
            0.0842486471,
            0.0835190937,
            0.0827895477,
            0.0820599943,
            0.0813304484,
            0.080600895,
            0.079871349,
            0.0791417956,
            0.0784122497,
            0.0776827037,
            0.0769531503,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0762638152,
            0.0752910823,
            0.0743183494,
            0.0733456165,
            0.0723728836,
            0.0714001507,
            0.0704274178,
            0.0694546849,
            0.068481952,
            0.0675092191,
            0.0665364861,
            0.0655637532,
            0.0645910203,
            0.0636182874,
            0.0626455545,
            0.0616728216,
            0.0606579594,
            0.0591988638,
            0.0577397645,
            0.0562806651,
            0.0548215657,
            0.0533624664,
            0.051903367,
            0.0504442677,
            0.0489851683,
            0.047526069,
            0.0460669696,
            0.0446078703,
            0.0431487709,
            0.0416896716,
            0.0402305722,
            0.0387714729,
            0.0373123735,
            0.0358532742,
            0.0343941748,
            0.0329350755,
            0.0314759761,
            0.0300168786,
            0.0285577793,
            0.0270986799,
            0.0256395806,
            0.0241804831,
            0.0227213837,
            0.0212622844,
            0.019803185,
            0.0183440857,
            0.0168849863,
            0.015425887,
            0.0139667876,
            0.0131166037,
            0.012387054,
            0.0116575044,
            0.0109279547,
            0.010198405,
            0.00946885534,
            0.00873930566,
            0.00800975598,
            0.00728020724,
            0.00655065756,
            0.00582110789,
            0.00509155821,
            0.00436200853,
            0.00363245886,
            0.00290290918,
            0.00217335951,
            0.0012714758,
            0.00029874302,
            -0.000673989765,
            -0.00164672267,
            -0.00261945557,
            -0.003592188,
            -0.00456492091,
            -0.00553765381,
            -0.00651038624,
            -0.00748311915,
            -0.00845585205,
            -0.00942858495,
            -0.0104013178,
            -0.0113740508,
            -0.0123467837,
            -0.0133195156,
            -0.0145756435,
            -0.0160347428,
            -0.0174938422,
            -0.0189529415,
            -0.020412039,
            -0.0218711384,
            -0.0233302377,
            -0.0247893371,
            -0.0262484364,
            -0.0277075358,
            -0.0291666351,
            -0.0306257345,
            -0.0320848338,
            -0.0335439332,
            -0.0350030325,
            -0.0364621319,
            -0.0379212312,
            -0.0393803306,
            -0.0408394299,
            -0.0422985293,
            -0.0437576249,
            -0.0452167243,
            -0.0466758236,
            -0.048134923,
            -0.0495940223,
            -0.0510531217,
            -0.052512221,
            -0.0539713204,
            -0.0554304197,
            -0.0568895191,
            -0.0583486184,
            -0.0598077178,
            -0.0611059703,
            -0.0620787032,
            -0.0630514398,
            -0.0640241727,
            -0.0649969056,
            -0.0659696385,
            -0.0669423714,
            -0.0679151043,
            -0.0688878298,
            -0.0698605627,
            -0.0708332956,
            -0.0718060285,
            -0.0727787614,
            -0.0737514943,
            -0.0747242272,
            -0.0756969601,
            -0.0766199082,
            -0.0773494616,
            -0.0780790076,
            -0.078808561,
            -0.0795381069,
            -0.0802676603,
            -0.0809972063,
            -0.0817267597,
            -0.0824563056,
            -0.083185859,
            -0.083915405,
            -0.0846449584,
            -0.0853745043,
            -0.0861040577,
            -0.0868336037,
            -0.0875631571,
            -0.088292703,
            -0.0890222564,
            -0.0897518024,
            -0.0904813558,
            -0.0912109017,
            -0.0919404551,
            -0.0926700011,
            -0.0933995545,
            -0.0941291004,
            -0.0948586464,
            -0.0955881998,
            -0.0963177532,
            -0.0970472991,
            -0.0977768451,
            -0.0985063985,
            -0.0992359519,
            -0.0999654979,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100051664,
            -0.10078121,
            -0.101510763,
            -0.102240309,
            -0.102969855,
            -0.103699401,
            -0.104428947,
            -0.1051585,
            -0.105888046,
            -0.106617592,
            -0.107347146,
            -0.108076692,
            -0.108806238,
            -0.109535784,
            -0.110265329,
            -0.110994883,
            -0.111724429,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111167215,
            -0.110437669,
            -0.109708115,
            -0.10897857,
            -0.108249024,
            -0.107519478,
            -0.106789932,
            -0.106060378,
            -0.105330832,
            -0.104601286,
            -0.10387174,
            -0.103142187,
            -0.102412641,
            -0.101683095,
            -0.100953549,
            -0.100223996,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100413568,
            -0.101143114,
            -0.10187266,
            -0.102602206,
            -0.10333176,
            -0.104061306,
            -0.104790851,
            -0.105520397,
            -0.106249951,
            -0.106979497,
            -0.107709043,
            -0.108438589,
            -0.109168142,
            -0.109897688,
            -0.110627234,
            -0.11135678,
            -0.112515256,
            -0.114217542,
            -0.115919828,
            -0.117622115,
            -0.119324401,
            -0.121026687,
            -0.122728974,
            -0.124431252,
            -0.126133546,
            -0.127835825,
            -0.129538119,
            -0.131240398,
            -0.132942691,
            -0.13464497,
            -0.136347264,
            -0.138049543,
            -0.139445454,
            -0.140175,
            -0.140904561,
            -0.141634107,
            -0.142363653,
            -0.143093199,
            -0.143822759,
            -0.144552305,
            -0.145281851,
            -0.146011397,
            -0.146740958,
            -0.147470504,
            -0.14820005,
            -0.148929596,
            -0.149659157,
            -0.150388703,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.151026338,
            -0.151755884,
            -0.152485445,
            -0.153214991,
            -0.153944537,
            -0.154674083,
            -0.155403644,
            -0.15613319,
            -0.156862736,
            -0.157592282,
            -0.158321828,
            -0.159051389,
            -0.159780934,
            -0.16051048,
            -0.161240026,
            -0.161969587,
            -0.162699133,
            -0.163428679,
            -0.164158225,
            -0.164887786,
            -0.165617332,
            -0.166346878,
            -0.167076424,
            -0.167805985,
            -0.168535531,
            -0.169265077,
            -0.169994622,
            -0.170724183,
            -0.171453729,
            -0.172183275,
            -0.172912821,
            -0.173642382,
            -0.174371928,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174825743,
            -0.175555289,
            -0.176284835,
            -0.177014396,
            -0.177743942,
            -0.178473487,
            -0.179203033,
            -0.179932594,
            -0.18066214,
            -0.181391686,
            -0.182121232,
            -0.182850778,
            -0.183580339,
            -0.184309885,
            -0.185039431,
            -0.185768992,
            -0.186498538,
            -0.187228084,
            -0.18795763,
            -0.188687176,
            -0.189416736,
            -0.190146282,
            -0.190875828,
            -0.191605374,
            -0.192334935,
            -0.193064481,
            -0.193794027,
            -0.194523573,
            -0.195253134,
            -0.19598268,
            -0.196712226,
            -0.197441772,
            -0.198215365,
            -0.199188098,
            -0.200160831,
            -0.201133564,
            -0.202106297,
            -0.20307903,
            -0.204051763,
            -0.205024496,
            -0.205997229,
            -0.206969962,
            -0.207942694,
            -0.208915427,
            -0.20988816,
            -0.210860893,
            -0.211833626,
            -0.212806359,
            -0.213765696,
            -0.214495242,
            -0.215224788,
            -0.215954334,
            -0.216683894,
            -0.21741344,
            -0.218142986,
            -0.218872532,
            -0.219602078,
            -0.220331639,
            -0.221061185,
            -0.221790731,
            -0.222520292,
            -0.223249838,
            -0.223979384,
            -0.22470893,
            -0.225438476,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225179985,
            -0.224450424,
            -0.223720878,
            -0.222991332,
            -0.222261786,
            -0.221532226,
            -0.22080268,
            -0.220073134,
            -0.219343588,
            -0.218614042,
            -0.217884481,
            -0.217154935,
            -0.216425389,
            -0.215695828,
            -0.214966282,
            -0.214236736,
            -0.213434428,
            -0.212461695,
            -0.211488962,
            -0.210516229,
            -0.209543496,
            -0.208570763,
            -0.207598031,
            -0.206625298,
            -0.205652565,
            -0.204679832,
            -0.203707099,
            -0.202734366,
            -0.201761633,
            -0.2007889,
            -0.199816167,
            -0.198843434,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197459012,
            -0.196729466,
            -0.195999905,
            -0.19527036,
            -0.194540814,
            -0.193811268,
            -0.193081707,
            -0.192352161,
            -0.191622615,
            -0.190893069,
            -0.190163508,
            -0.189433962,
            -0.188704416,
            -0.18797487,
            -0.187245309,
            -0.186515763,
            -0.185786217,
            -0.185056672,
            -0.184327126,
            -0.183597565,
            -0.182868019,
            -0.182138473,
            -0.181408927,
            -0.180679366,
            -0.17994982,
            -0.179220274,
            -0.178490728,
            -0.177761167,
            -0.177031621,
            -0.176302075,
            -0.175572529,
            -0.174842969,
            -0.173717052,
            -0.17225796,
            -0.170798853,
            -0.169339761,
            -0.167880654,
            -0.166421562,
            -0.164962456,
            -0.163503364,
            -0.162044257,
            -0.160585165,
            -0.159126058,
            -0.157666966,
            -0.15620786,
            -0.154748768,
            -0.153289661,
            -0.151830569,
            -0.150269985,
            -0.148567691,
            -0.146865413,
            -0.145163134,
            -0.14346084,
            -0.141758561,
            -0.140056282,
            -0.138353989,
            -0.13665171,
            -0.134949416,
            -0.133247137,
            -0.131544858,
            -0.129842564,
            -0.128140286,
            -0.126438007,
            -0.12473572,
            -0.123316824,
            -0.122587278,
            -0.121857725,
            -0.121128172,
            -0.120398626,
            -0.119669072,
            -0.118939519,
            -0.118209966,
            -0.11748042,
            -0.116750866,
            -0.116021313,
            -0.115291759,
            -0.114562213,
            -0.11383266,
            -0.113103107,
            -0.112373561,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111735918,
            -0.111006372,
            -0.110276818,
            -0.109547272,
            -0.108817726,
            -0.10808818,
            -0.107358634,
            -0.106629081,
            -0.105899535,
            -0.105169989,
            -0.104440443,
            -0.10371089,
            -0.102981344,
            -0.102251798,
            -0.101522252,
            -0.100792699,
            -0.100063153,
            -0.0986672416,
            -0.0972081423,
            -0.0957490429,
            -0.0942899436,
            -0.0928308442,
            -0.0913717449,
            -0.0899126455,
            -0.0884535462,
            -0.0869944543,
            -0.0855353475,
            -0.0840762556,
            -0.0826171488,
            -0.0811580569,
            -0.0796989501,
            -0.0782398582,
            -0.0767807588,
            -0.0757046193,
            -0.0747318864,
            -0.0737591535,
            -0.0727864206,
            -0.0718136877,
            -0.0708409548,
            -0.0698682219,
            -0.0688954964,
            -0.0679227561,
            -0.0669500306,
            -0.0659772977,
            -0.0650045648,
            -0.0640318319,
            -0.063059099,
            -0.0620863624,
            -0.0611136295,
            -0.0598192066,
            -0.0583601072,
            -0.0569010079,
            -0.0554419085,
            -0.0539828092,
            -0.0525237098,
            -0.0510646105,
            -0.0496055111,
            -0.0481464118,
            -0.0466873124,
            -0.0452282131,
            -0.0437691137,
            -0.0423100144,
            -0.040850915,
            -0.0393918157,
            -0.03793272,
            -0.0364736207,
            -0.0350145213,
            -0.033555422,
            -0.0320963226,
            -0.0306372233,
            -0.0291781239,
            -0.0277190246,
            -0.0262599252,
            -0.0248008259,
            -0.0233417265,
            -0.0218826272,
            -0.0204235297,
            -0.0189644303,
            -0.017505331,
            -0.0160462316,
            -0.0145871323,
            -0.0130284624,
            -0.0113261798,
            -0.00962389726,
            -0.00792161562,
            -0.00621933257,
            -0.00451705046,
            -0.00281476788,
            -0.0011124853,
            0.000589797273,
            0.00229207985,
            0.00399436243,
            0.00569664314,
            0.00739892572,
            0.0091012083,
            0.0108034909,
            0.0125057735,
            0.0141391223,
            0.0155982208,
            0.0170573201,
            0.0185164195,
            0.0199755188,
            0.0214346182,
            0.0228937175,
            0.024352815,
            0.0258119144,
            0.0272710137,
            0.0287301131,
            0.0301892124,
            0.0316483118,
            0.0331074111,
            0.0345665105,
            0.0360256098,
            0.0373698175,
            0.0380993672,
            0.0388289168,
            0.0395584665,
            0.0402880162,
            0.0410175659,
            0.0417471156,
            0.0424766652,
            0.0432062149,
            0.0439357646,
            0.0446653143,
            0.0453948639,
            0.0461244136,
            0.0468539633,
            0.047583513,
            0.0483130626,
            0.0490426123,
            0.049772162,
            0.0505017117,
            0.0512312613,
            0.051960811,
            0.0526903607,
            0.0534199104,
            0.05414946,
            0.0548790097,
            0.0556085594,
            0.0563381091,
            0.0570676588,
            0.0577972084,
            0.0585267581,
            0.0592563078,
            0.0599858575,
            0.0607154071,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0615426116,
            0.0625153482,
            0.0634880811,
            0.064460814,
            0.0654335469,
            0.0664062798,
            0.0673790053,
            0.0683517382,
            0.0693244711,
            0.070297204,
            0.0712699369,
            0.0722426698,
            0.0732154027,
            0.0741881356,
            0.0751608685,
            0.0761336014,
            0.0769474059,
            0.0776769519,
            0.0784065053,
            0.0791360512,
            0.0798656046,
            0.0805951506,
            0.081324704,
            0.0820542499,
            0.0827838033,
            0.0835133493,
            0.0842429027,
            0.0849724486,
            0.085702002,
            0.086431548,
            0.0871611014,
            0.0878906474,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0884363726,
            0.089165926,
            0.0898954719,
            0.0906250253,
            0.0913545713,
            0.0920841247,
            0.0928136706,
            0.093543224,
            0.09427277,
            0.0950023234,
            0.0957318693,
            0.0964614227,
            0.0971909687,
            0.0979205221,
            0.098650068,
            0.0993796214,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0993451551,
            0.0986156017,
            0.0978860557,
            0.0971565023,
            0.0964269564,
            0.095697403,
            0.094967857,
            0.0942383036,
            0.0935087577,
            0.0927792042,
            0.0920496583,
            0.0913201049,
            0.0905905589,
            0.0898610055,
            0.0891314596,
            0.0884019062,
            0.0876723602,
            0.0869428068,
            0.0862132609,
            0.0854837075,
            0.0847541615,
            0.0840246081,
            0.0832950622,
            0.0825655088,
            0.0818359628,
            0.0811064094,
            0.0803768635,
            0.0796473175,
            0.0789177641,
            0.0781882107,
            0.0774586648,
            0.0767291188,
            0.0758425519,
            0.074869819,
            0.0738970861,
            0.0729243532,
            0.0719516203,
            0.0709788874,
            0.0700061545,
            0.0690334216,
            0.0680606887,
            0.0670879558,
            0.0661152229,
            0.06514249,
            0.0641697571,
            0.0631970242,
            0.0622242913,
            0.0612515584,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0610447563,
            0.0620174892,
            0.0629902184,
            0.0639629513,
            0.0649356842,
            0.0659084171,
            0.06688115,
            0.0678538829,
            0.0688266158,
            0.0697993487,
            0.0707720816,
            0.0717448145,
            0.0727175474,
            0.0736902803,
            0.0746630132,
            0.0756357461,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764552951,
            0.0754825622,
            0.0745098293,
            0.0735370964,
            0.0725643635,
            0.0715916306,
            0.0706188977,
            0.0696461648,
            0.0686734319,
            0.067700699,
            0.0667279661,
            0.0657552332,
            0.0647825003,
            0.0638097674,
            0.0628370345,
            0.0618643016,
            0.0608915687,
            0.0601352118,
            0.0594056621,
            0.0586761124,
            0.0579465628,
            0.0572170131,
            0.0564874634,
            0.0557579175,
            0.0550283641,
            0.0542988181,
            0.0535692647,
            0.0528397188,
            0.0521101654,
            0.0513806194,
            0.0506510697,
            0.0499215201,
            0.0491919704,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.049393028,
            0.050122574,
            0.0508521236,
            0.0515816733,
            0.052311223,
            0.0530407727,
            0.0537703224,
            0.054499872,
            0.0552294217,
            0.0559589714,
            0.0566885211,
            0.0574180707,
            0.0581476204,
            0.0588771701,
            0.0596067198,
            0.0603362694,
            0.0614411272,
            0.0631434098,
            0.0648456886,
            0.0665479749,
            0.0682502538,
            0.0699525401,
            0.071654819,
            0.0733571053,
            0.0750593841,
            0.076761663,
            0.0784639493,
            0.0801662356,
            0.0818685144,
            0.0835707933,
            0.0852730796,
            0.0869753659,
            0.0884248838,
            0.0891544372,
            0.0898839831,
            0.0906135365,
            0.0913430825,
            0.0920726359,
            0.0928021818,
            0.0935317352,
            0.0942612812,
            0.0949908346,
            0.0957203805,
            0.0964499339,
            0.0971794799,
            0.0979090333,
            0.0986385792,
            0.0993681327,
            0.100097679,
            0.100827232,
            0.101556778,
            0.102286331,
            0.103015877,
            0.103745431,
            0.104474977,
            0.10520453,
            0.105934076,
            0.106663629,
            0.107393175,
            0.108122729,
            0.108852275,
            0.109581828,
            0.110311374,
            0.11104092,
            0.111778133,
            0.113480419,
            0.115182698,
            0.116884977,
            0.118587263,
            0.120289542,
            0.121991828,
            0.123694107,
            0.125396386,
            0.12709868,
            0.128800958,
            0.130503237,
            0.132205516,
            0.13390781,
            0.135610089,
            0.137312368,
            0.139014646,
            0.139859095,
            0.140588641,
            0.141318187,
            0.142047733,
            0.142777294,
            0.14350684,
            0.144236386,
            0.144965932,
            0.145695493,
            0.146425039,
            0.147154585,
            0.14788413,
            0.148613691,
            0.149343237,
            0.150072783,
            0.150802329,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.15143998,
            0.152169526,
            0.152899086,
            0.153628632,
            0.154358193,
            0.155087739,
            0.1558173,
            0.156546846,
            0.157276407,
            0.158005953,
            0.158735514,
            0.15946506,
            0.160194606,
            0.160924166,
            0.161653727,
            0.162383273,
            0.163112819,
            0.163842365,
            0.164571911,
            0.165301457,
            0.166031003,
            0.166760549,
            0.167490095,
            0.168219641,
            0.168949187,
            0.169678733,
            0.170408279,
            0.171137825,
            0.171867371,
            0.172596917,
            0.173326463,
            0.174056008,
            0.175153211,
            0.17685549,
            0.178557783,
            0.180260062,
            0.181962356,
            0.183664635,
            0.185366929,
            0.187069207,
            0.188771501,
            0.19047378,
            0.192176074,
            0.193878353,
            0.195580631,
            0.197282925,
            0.198985219,
            0.200687498,
            0.202144682,
            0.202874228,
            0.203603774,
            0.20433332,
            0.205062866,
            0.205792412,
            0.206521958,
            0.207251504,
            0.20798105,
            0.208710596,
            0.209440142,
            0.210169688,
            0.210899234,
            0.21162878,
            0.212358326,
            0.213087872,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507
          ],
          [
            0.186274529,
            0.185544983,
            0.184815437,
            0.184085876,
            0.18335633,
            0.182626784,
            0.181897238,
            0.181167677,
            0.180438131,
            0.179708585,
            0.178979039,
            0.178249478,
            0.177519932,
            0.176790386,
            0.17606084,
            0.17533128,
            0.174601734,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.173964098,
            0.173234552,
            0.172505006,
            0.17177546,
            0.171045914,
            0.170316368,
            0.169586822,
            0.168857276,
            0.16812773,
            0.167398185,
            0.166668639,
            0.165939093,
            0.165209547,
            0.164480001,
            0.163750455,
            0.163020909,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162923262,
            0.163652807,
            0.164382353,
            0.165111899,
            0.165841445,
            0.166570991,
            0.167300537,
            0.168030083,
            0.168759629,
            0.169489175,
            0.170218721,
            0.170948267,
            0.171677813,
            0.172407359,
            0.173136905,
            0.173866451,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.175233632,
            0.175963178,
            0.176692724,
            0.17742227,
            0.178151831,
            0.178881377,
            0.179610923,
            0.180340469,
            0.18107003,
            0.181799576,
            0.182529122,
            0.183258668,
            0.183988228,
            0.184717774,
            0.18544732,
            0.186176866,
            0.187117055,
            0.188089788,
            0.189062536,
            0.190035269,
            0.191008002,
            0.191980734,
            0.192953467,
            0.193926215,
            0.194898948,
            0.195871681,
            0.196844429,
            0.197817162,
            0.198789895,
            0.199762627,
            0.20073536,
            0.201708108,
            0.202500835,
            0.203230381,
            0.203959927,
            0.204689473,
            0.205419019,
            0.206148565,
            0.206878111,
            0.207607657,
            0.208337203,
            0.209066749,
            0.209796295,
            0.210525841,
            0.211255386,
            0.211984932,
            0.212714478,
            0.213444024,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.214254007,
            0.215713099,
            0.217172205,
            0.218631297,
            0.220090389,
            0.221549496,
            0.223008603,
            0.224467695,
            0.225926787,
            0.227385893,
            0.228844985,
            0.230304092,
            0.231763184,
            0.233222291,
            0.234681383,
            0.23614049,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.23653686,
            0.235807315,
            0.235077754,
            0.234348208,
            0.233618662,
            0.232889116,
            0.232159555,
            0.231430009,
            0.230700463,
            0.229970917,
            0.229241356,
            0.22851181,
            0.227782264,
            0.227052718,
            0.226323158,
            0.225593612,
            0.224864066,
            0.22413452,
            0.223404959,
            0.222675413,
            0.221945867,
            0.221216321,
            0.22048676,
            0.219757214,
            0.219027668,
            0.218298122,
            0.217568561,
            0.216839015,
            0.21610947,
            0.215379924,
            0.214650363,
            0.213920817,
            0.213191271,
            0.212461725,
            0.211732179,
            0.211002633,
            0.210273087,
            0.209543541,
            0.208813995,
            0.208084449,
            0.207354903,
            0.206625357,
            0.205895811,
            0.205166265,
            0.204436719,
            0.203707173,
            0.202977628,
            0.202248082,
            0.201371089,
            0.200398356,
            0.199425623,
            0.19845289,
            0.197480142,
            0.196507409,
            0.195534676,
            0.194561943,
            0.193589196,
            0.192616463,
            0.19164373,
            0.190670997,
            0.189698249,
            0.188725516,
            0.187752783,
            0.18678005,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185654119,
            0.184924573,
            0.184195027,
            0.183465481,
            0.18273592,
            0.182006374,
            0.181276828,
            0.180547282,
            0.179817721,
            0.179088175,
            0.178358629,
            0.177629083,
            0.176899523,
            0.176169977,
            0.175440431,
            0.174710885,
            0.173452839,
            0.171993732,
            0.170534641,
            0.169075534,
            0.167616442,
            0.166157335,
            0.164698243,
            0.163239151,
            0.161780044,
            0.160320938,
            0.158861846,
            0.157402754,
            0.155943647,
            0.154484555,
            0.153025448,
            0.151566356,
            0.150543839,
            0.149814278,
            0.149084732,
            0.148355186,
            0.14762564,
            0.146896079,
            0.146166533,
            0.145436987,
            0.144707441,
            0.14397788,
            0.143248335,
            0.142518789,
            0.141789243,
            0.141059682,
            0.140330136,
            0.13960059,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.138273612,
            0.137300879,
            0.136328146,
            0.135355413,
            0.13438268,
            0.133409947,
            0.132437214,
            0.131464481,
            0.130491748,
            0.129519016,
            0.128546283,
            0.12757355,
            0.126600817,
            0.125628084,
            0.124655351,
            0.123682618,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123006687,
            0.122277133,
            0.121547587,
            0.120818034,
            0.120088488,
            0.119358942,
            0.118629389,
            0.117899835,
            0.117170289,
            0.116440743,
            0.11571119,
            0.114981636,
            0.11425209,
            0.113522545,
            0.112792991,
            0.112063445,
            0.110903054,
            0.109443955,
            0.107984856,
            0.106525756,
            0.105066657,
            0.103607558,
            0.102148458,
            0.100689359,
            0.0992302597,
            0.0977711678,
            0.096312061,
            0.0948529691,
            0.0933938622,
            0.0919347703,
            0.0904756635,
            0.0890165716,
            0.0878963917,
            0.0871668458,
            0.0864372924,
            0.0857077464,
            0.084978193,
            0.0842486471,
            0.0835190937,
            0.0827895477,
            0.0820599943,
            0.0813304484,
            0.080600895,
            0.079871349,
            0.0791417956,
            0.0784122497,
            0.0776827037,
            0.0769531503,
            0.0761412606,
            0.0751685277,
            0.0741957948,
            0.0732230619,
            0.072250329,
            0.0712775961,
            0.0703048632,
            0.0693321303,
            0.0683594048,
            0.0673866719,
            0.066413939,
            0.0654412061,
            0.0644684732,
            0.0634957403,
            0.0625230074,
            0.0615502708,
            0.0606292374,
            0.0598996878,
            0.0591701381,
            0.0584405884,
            0.0577110387,
            0.0569814891,
            0.0562519431,
            0.0555223897,
            0.0547928438,
            0.0540632941,
            0.0533337444,
            0.052604191,
            0.0518746451,
            0.0511450954,
            0.0504155457,
            0.049685996,
            0.0488932543,
            0.0474341586,
            0.0459750593,
            0.0445159599,
            0.0430568606,
            0.0415977612,
            0.0401386619,
            0.0386795625,
            0.0372204632,
            0.0357613638,
            0.0343022645,
            0.0328431651,
            0.0313840657,
            0.0299249664,
            0.028465867,
            0.0270067677,
            0.0255476683,
            0.0247893967,
            0.024059847,
            0.0233302973,
            0.0226007476,
            0.021871198,
            0.0211416483,
            0.0204120986,
            0.0196825489,
            0.0189530011,
            0.0182234515,
            0.0174939018,
            0.0167643521,
            0.0160348024,
            0.0153052527,
            0.0145757031,
            0.0138461534,
            0.0131166037,
            0.012387054,
            0.0116575044,
            0.0109279547,
            0.010198405,
            0.00946885534,
            0.00873930566,
            0.00800975598,
            0.00728020724,
            0.00655065756,
            0.00582110789,
            0.00509155821,
            0.00436200853,
            0.00363245886,
            0.00290290918,
            0.00217335951,
            0.0012714758,
            0.00029874302,
            -0.000673989765,
            -0.00164672267,
            -0.00261945557,
            -0.003592188,
            -0.00456492091,
            -0.00553765381,
            -0.00651038624,
            -0.00748311915,
            -0.00845585205,
            -0.00942858495,
            -0.0104013178,
            -0.0113740508,
            -0.0123467837,
            -0.0133195156,
            -0.0141505515,
            -0.0148801012,
            -0.0156096509,
            -0.0163391996,
            -0.0170687493,
            -0.017798299,
            -0.0185278486,
            -0.0192573983,
            -0.019986948,
            -0.0207164977,
            -0.0214460474,
            -0.022175597,
            -0.0229051467,
            -0.0236346964,
            -0.0243642461,
            -0.0250937957,
            -0.0261565242,
            -0.0276156235,
            -0.0290747229,
            -0.0305338223,
            -0.0319929197,
            -0.0334520191,
            -0.0349111184,
            -0.0363702178,
            -0.0378293172,
            -0.0392884165,
            -0.0407475159,
            -0.0422066152,
            -0.0436657146,
            -0.0451248139,
            -0.0465839133,
            -0.0480430126,
            -0.0492608435,
            -0.0499903932,
            -0.0507199429,
            -0.0514494926,
            -0.0521790422,
            -0.0529085919,
            -0.0536381416,
            -0.0543676913,
            -0.055097241,
            -0.0558267906,
            -0.0565563403,
            -0.05728589,
            -0.0580154397,
            -0.0587449893,
            -0.059474539,
            -0.0602040887,
            -0.0609834231,
            -0.061956156,
            -0.0629288852,
            -0.0639016181,
            -0.064874351,
            -0.0658470839,
            -0.0668198168,
            -0.0677925497,
            -0.0687652826,
            -0.0697380155,
            -0.0707107484,
            -0.0716834813,
            -0.0726562142,
            -0.0736289471,
            -0.07460168,
            -0.0755744129,
            -0.0765279979,
            -0.0772575513,
            -0.0779870972,
            -0.0787166506,
            -0.0794461966,
            -0.08017575,
            -0.0809052959,
            -0.0816348493,
            -0.0823643953,
            -0.0830939412,
            -0.0838234946,
            -0.084553048,
            -0.085282594,
            -0.0860121399,
            -0.0867416933,
            -0.0874712467,
            -0.0882007927,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0884707794,
            -0.0892003328,
            -0.0899298787,
            -0.0906594321,
            -0.0913889781,
            -0.0921185315,
            -0.0928480774,
            -0.0935776308,
            -0.0943071768,
            -0.0950367302,
            -0.0957662761,
            -0.0964958295,
            -0.0972253755,
            -0.0979549289,
            -0.0986844748,
            -0.0994140282,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0994025394,
            -0.098672986,
            -0.0979434401,
            -0.0972138867,
            -0.0964843407,
            -0.0957547873,
            -0.0950252414,
            -0.094295688,
            -0.093566142,
            -0.0928365886,
            -0.0921070427,
            -0.0913774893,
            -0.0906479433,
            -0.0899183899,
            -0.089188844,
            -0.088459298,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0886488631,
            -0.0893784091,
            -0.0901079625,
            -0.0908375084,
            -0.0915670618,
            -0.0922966078,
            -0.0930261612,
            -0.0937557071,
            -0.0944852605,
            -0.0952148065,
            -0.0959443599,
            -0.0966739058,
            -0.0974034593,
            -0.0981330052,
            -0.0988625586,
            -0.0995921046,
            -0.100643344,
            -0.102102444,
            -0.103561543,
            -0.105020642,
            -0.106479742,
            -0.107938841,
            -0.10939794,
            -0.11085704,
            -0.112316139,
            -0.113775238,
            -0.115234338,
            -0.116693437,
            -0.118152536,
            -0.119611636,
            -0.121070735,
            -0.122529835,
            -0.124065526,
            -0.125767812,
            -0.127470091,
            -0.129172385,
            -0.130874664,
            -0.132576942,
            -0.134279236,
            -0.135981515,
            -0.137683809,
            -0.139386088,
            -0.141088367,
            -0.142790645,
            -0.144492939,
            -0.146195218,
            -0.147897512,
            -0.149599791,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.151026338,
            -0.151755884,
            -0.152485445,
            -0.153214991,
            -0.153944537,
            -0.154674083,
            -0.155403644,
            -0.15613319,
            -0.156862736,
            -0.157592282,
            -0.158321828,
            -0.159051389,
            -0.159780934,
            -0.16051048,
            -0.161240026,
            -0.161969587,
            -0.162699133,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.163061038,
            -0.163790584,
            -0.16452013,
            -0.16524969,
            -0.165979236,
            -0.166708782,
            -0.167438328,
            -0.168167889,
            -0.168897435,
            -0.169626981,
            -0.170356527,
            -0.171086073,
            -0.171815634,
            -0.17254518,
            -0.173274726,
            -0.174004287,
            -0.174957857,
            -0.176416963,
            -0.177876055,
            -0.179335162,
            -0.180794254,
            -0.182253361,
            -0.183712453,
            -0.185171559,
            -0.186630651,
            -0.188089758,
            -0.18954885,
            -0.191007957,
            -0.192467049,
            -0.193926156,
            -0.195385247,
            -0.196844354,
            -0.198215365,
            -0.199188098,
            -0.200160831,
            -0.201133564,
            -0.202106297,
            -0.20307903,
            -0.204051763,
            -0.205024496,
            -0.205997229,
            -0.206969962,
            -0.207942694,
            -0.208915427,
            -0.20988816,
            -0.210860893,
            -0.211833626,
            -0.212806359,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.212944224,
            -0.211971492,
            -0.210998759,
            -0.210026026,
            -0.209053293,
            -0.20808056,
            -0.207107827,
            -0.206135094,
            -0.205162361,
            -0.204189628,
            -0.203216895,
            -0.202244163,
            -0.20127143,
            -0.200298697,
            -0.199325964,
            -0.198353231,
            -0.197545171,
            -0.196815625,
            -0.196086079,
            -0.195356533,
            -0.194626987,
            -0.193897426,
            -0.19316788,
            -0.192438334,
            -0.191708788,
            -0.190979227,
            -0.190249681,
            -0.189520136,
            -0.18879059,
            -0.188061029,
            -0.187331483,
            -0.186601937,
            -0.186676607,
            -0.187406167,
            -0.188135713,
            -0.188865259,
            -0.189594805,
            -0.190324366,
            -0.191053912,
            -0.191783458,
            -0.192513004,
            -0.193242565,
            -0.193972111,
            -0.194701657,
            -0.195431203,
            -0.196160764,
            -0.196890309,
            -0.197619855,
            -0.197729006,
            -0.196999446,
            -0.1962699,
            -0.195540354,
            -0.194810808,
            -0.194081247,
            -0.193351701,
            -0.192622155,
            -0.191892609,
            -0.191163063,
            -0.190433502,
            -0.189703956,
            -0.18897441,
            -0.188244849,
            -0.187515303,
            -0.186785758,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.185694307,
            -0.184964761,
            -0.1842352,
            -0.183505654,
            -0.182776108,
            -0.182046562,
            -0.181317002,
            -0.180587456,
            -0.17985791,
            -0.179128364,
            -0.178398803,
            -0.177669257,
            -0.176939711,
            -0.176210165,
            -0.175480604,
            -0.174751058,
            -0.173533231,
            -0.172074139,
            -0.170615032,
            -0.16915594,
            -0.167696834,
            -0.166237742,
            -0.164778635,
            -0.163319543,
            -0.161860436,
            -0.160401344,
            -0.158942237,
            -0.157483146,
            -0.156024039,
            -0.154564947,
            -0.15310584,
            -0.151646748,
            -0.150584012,
            -0.149854466,
            -0.14912492,
            -0.14839536,
            -0.147665814,
            -0.146936268,
            -0.146206722,
            -0.145477161,
            -0.144747615,
            -0.144018069,
            -0.143288523,
            -0.142558962,
            -0.141829416,
            -0.14109987,
            -0.140370324,
            -0.139640763,
            -0.138809741,
            -0.137836993,
            -0.13686426,
            -0.135891527,
            -0.134918794,
            -0.133946061,
            -0.132973328,
            -0.132000595,
            -0.131027862,
            -0.13005513,
            -0.129082382,
            -0.128109649,
            -0.127136916,
            -0.126164183,
            -0.12519145,
            -0.124218717,
            -0.123316824,
            -0.122587278,
            -0.121857725,
            -0.121128172,
            -0.120398626,
            -0.119669072,
            -0.118939519,
            -0.118209966,
            -0.11748042,
            -0.116750866,
            -0.116021313,
            -0.115291759,
            -0.114562213,
            -0.11383266,
            -0.113103107,
            -0.112373561,
            -0.111644007,
            -0.110914461,
            -0.110184908,
            -0.109455362,
            -0.108725816,
            -0.10799627,
            -0.107266717,
            -0.106537171,
            -0.105807625,
            -0.105078079,
            -0.104348525,
            -0.103618979,
            -0.102889434,
            -0.102159888,
            -0.101430334,
            -0.100700788,
            -0.0999712422,
            -0.0992416888,
            -0.0985121429,
            -0.0977825895,
            -0.0970530435,
            -0.0963234901,
            -0.0955939442,
            -0.0948643982,
            -0.0941348448,
            -0.0934052989,
            -0.0926757455,
            -0.0919461995,
            -0.0912166461,
            -0.0904871002,
            -0.0897575468,
            -0.0890280008,
            -0.0882984474,
            -0.0875689015,
            -0.0868393481,
            -0.0861098021,
            -0.0853802487,
            -0.0846507028,
            -0.0839211494,
            -0.0831916034,
            -0.08246205,
            -0.0817325041,
            -0.0810029507,
            -0.0802734047,
            -0.0795438513,
            -0.0788143054,
            -0.078084752,
            -0.077355206,
            -0.0766256526,
            -0.0751301721,
            -0.0734278932,
            -0.0717256069,
            -0.0700233281,
            -0.0683210418,
            -0.0666187629,
            -0.0649164766,
            -0.0632141978,
            -0.0615119152,
            -0.0598096326,
            -0.05810735,
            -0.0564050674,
            -0.0547027849,
            -0.0530005023,
            -0.0512982234,
            -0.0495959371,
            -0.0480545014,
            -0.0465954021,
            -0.0451363027,
            -0.0436772034,
            -0.042218104,
            -0.0407590047,
            -0.0392999053,
            -0.0378408059,
            -0.0363817066,
            -0.0349226072,
            -0.0334635079,
            -0.0320044085,
            -0.030545311,
            -0.0290862117,
            -0.0276271123,
            -0.0261680149,
            -0.0245787073,
            -0.0228764247,
            -0.0211741421,
            -0.0194718596,
            -0.017769577,
            -0.0160672944,
            -0.0143650118,
            -0.0126627302,
            -0.0109604476,
            -0.00925816596,
            -0.00755588338,
            -0.0058536008,
            -0.00415131822,
            -0.00244903564,
            -0.000746753067,
            0.000955529511,
            0.00255824043,
            0.00401733955,
            0.00547643891,
            0.00693553779,
            0.00839463715,
            0.0098537365,
            0.0113128358,
            0.0127719343,
            0.0142310336,
            0.015690133,
            0.0171492323,
            0.0186083317,
            0.020067431,
            0.0215265304,
            0.0229856297,
            0.0244447272,
            0.0256970264,
            0.0264265761,
            0.0271561258,
            0.0278856754,
            0.0286152251,
            0.0293447748,
            0.0300743245,
            0.0308038723,
            0.0315334238,
            0.0322629735,
            0.0329925232,
            0.0337220728,
            0.0344516188,
            0.0351811722,
            0.0359107181,
            0.0366402715,
            0.0373698175,
            0.0380993672,
            0.0388289168,
            0.0395584665,
            0.0402880162,
            0.0410175659,
            0.0417471156,
            0.0424766652,
            0.0432062149,
            0.0439357646,
            0.0446653143,
            0.0453948639,
            0.0461244136,
            0.0468539633,
            0.047583513,
            0.0483130626,
            0.0490426123,
            0.049772162,
            0.0505017117,
            0.0512312613,
            0.051960811,
            0.0526903607,
            0.0534199104,
            0.05414946,
            0.0548790097,
            0.0556085594,
            0.0563381091,
            0.0570676588,
            0.0577972084,
            0.0585267581,
            0.0592563078,
            0.0599858575,
            0.0607154071,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0621113144,
            0.063813597,
            0.0655158833,
            0.0672181621,
            0.0689204484,
            0.0706227273,
            0.0723250061,
            0.0740272924,
            0.0757295787,
            0.0774318576,
            0.0791341364,
            0.0808364227,
            0.082538709,
            0.0842409879,
            0.0859432667,
            0.0876455531,
            0.0887121111,
            0.0894416571,
            0.0901712105,
            0.0909007564,
            0.0916303098,
            0.0923598558,
            0.0930894092,
            0.0938189551,
            0.0945485085,
            0.0952780545,
            0.0960076079,
            0.0967371538,
            0.0974667072,
            0.0981962532,
            0.0989258066,
            0.0996553525,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0998908803,
            0.0991613269,
            0.0984317809,
            0.0977022275,
            0.0969726816,
            0.0962431282,
            0.0955135822,
            0.0947840288,
            0.0940544829,
            0.0933249295,
            0.0925953835,
            0.0918658301,
            0.0911362842,
            0.0904067308,
            0.0896771848,
            0.0889476389,
            0.0882180855,
            0.0874885321,
            0.0867589861,
            0.0860294402,
            0.0852998868,
            0.0845703408,
            0.0838407874,
            0.0831112415,
            0.0823816881,
            0.0816521421,
            0.0809225887,
            0.0801930428,
            0.0794634894,
            0.0787339434,
            0.07800439,
            0.0772748441,
            0.0765452906,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0757199973,
            0.0747472644,
            0.0737745315,
            0.0728017986,
            0.0718290657,
            0.0708563402,
            0.0698836073,
            0.0689108744,
            0.0679381415,
            0.0669654086,
            0.0659926757,
            0.0650199428,
            0.0640472099,
            0.063074477,
            0.0621017441,
            0.0611290112,
            0.0603132918,
            0.0595837422,
            0.0588541925,
            0.0581246428,
            0.0573950931,
            0.0566655435,
            0.0559359938,
            0.0552064441,
            0.0544768944,
            0.0537473448,
            0.0530177951,
            0.0522882454,
            0.0515586957,
            0.0508291498,
            0.0500995964,
            0.0493700504,
            0.048640497,
            0.0479109474,
            0.0471813977,
            0.0464518517,
            0.045722302,
            0.0449927524,
            0.0442632027,
            0.043533653,
            0.0428041033,
            0.0420745537,
            0.041345004,
            0.0406154543,
            0.0398859046,
            0.039156355,
            0.0384268053,
            0.0376972556,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0374502428,
            0.0381797925,
            0.0389093421,
            0.0396388918,
            0.0403684415,
            0.0410979912,
            0.0418275408,
            0.0425570905,
            0.0432866402,
            0.0440161899,
            0.0447457358,
            0.0454752892,
            0.0462048352,
            0.0469343886,
            0.0476639345,
            0.0483934879,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490081459,
            0.0482785963,
            0.0475490466,
            0.0468194969,
            0.0460899472,
            0.0453603975,
            0.0446308479,
            0.0439012982,
            0.0431717485,
            0.0424421988,
            0.0417126492,
            0.0409830995,
            0.0402535498,
            0.0395240001,
            0.0387944505,
            0.0380649008,
            0.0373353511,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0377202332,
            0.0384497829,
            0.0391793326,
            0.0399088822,
            0.0406384319,
            0.0413679816,
            0.0420975313,
            0.0428270809,
            0.0435566306,
            0.0442861803,
            0.04501573,
            0.0457452796,
            0.0464748293,
            0.0472043753,
            0.0479339287,
            0.0486634746,
            0.049393028,
            0.050122574,
            0.0508521236,
            0.0515816733,
            0.052311223,
            0.0530407727,
            0.0537703224,
            0.054499872,
            0.0552294217,
            0.0559589714,
            0.0566885211,
            0.0574180707,
            0.0581476204,
            0.0588771701,
            0.0596067198,
            0.0603362694,
            0.0614411272,
            0.0631434098,
            0.0648456886,
            0.0665479749,
            0.0682502538,
            0.0699525401,
            0.071654819,
            0.0733571053,
            0.0750593841,
            0.076761663,
            0.0784639493,
            0.0801662356,
            0.0818685144,
            0.0835707933,
            0.0852730796,
            0.0869753659,
            0.0886144564,
            0.0900735557,
            0.0915326551,
            0.0929917544,
            0.0944508538,
            0.0959099531,
            0.0973690525,
            0.0988281518,
            0.100287251,
            0.101746351,
            0.103205442,
            0.104664549,
            0.106123641,
            0.107582748,
            0.10904184,
            0.110500947,
            0.111862384,
            0.112591937,
            0.113321483,
            0.114051037,
            0.114780582,
            0.115510136,
            0.116239682,
            0.116969235,
            0.117698781,
            0.118428335,
            0.119157881,
            0.119887434,
            0.12061698,
            0.121346533,
            0.122076079,
            0.122805625,
            0.123542838,
            0.125245124,
            0.126947403,
            0.128649682,
            0.130351961,
            0.132054254,
            0.133756533,
            0.135458812,
            0.137161091,
            0.138863385,
            0.140565664,
            0.142267942,
            0.143970221,
            0.145672515,
            0.147374794,
            0.149077073,
            0.150779352,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.15143998,
            0.152169526,
            0.152899086,
            0.153628632,
            0.154358193,
            0.155087739,
            0.1558173,
            0.156546846,
            0.157276407,
            0.158005953,
            0.158735514,
            0.15946506,
            0.160194606,
            0.160924166,
            0.161653727,
            0.162383273,
            0.163112819,
            0.163842365,
            0.164571911,
            0.165301457,
            0.166031003,
            0.166760549,
            0.167490095,
            0.168219641,
            0.168949187,
            0.169678733,
            0.170408279,
            0.171137825,
            0.171867371,
            0.172596917,
            0.173326463,
            0.174056008,
            0.174785554,
            0.175515115,
            0.176244661,
            0.176974207,
            0.177703753,
            0.178433299,
            0.17916286,
            0.179892406,
            0.180621952,
            0.181351498,
            0.182081059,
            0.182810605,
            0.183540151,
            0.184269696,
            0.184999257,
            0.185728803,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529
          ],
          [
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174056008,
            0.173326463,
            0.172596917,
            0.171867371,
            0.171137825,
            0.170408279,
            0.169678733,
            0.168949187,
            0.168219641,
            0.167490095,
            0.166760549,
            0.166031003,
            0.165301457,
            0.164571911,
            0.163842365,
            0.163112819,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162923262,
            0.163652807,
            0.164382353,
            0.165111899,
            0.165841445,
            0.166570991,
            0.167300537,
            0.168030083,
            0.168759629,
            0.169489175,
            0.170218721,
            0.170948267,
            0.171677813,
            0.172407359,
            0.173136905,
            0.173866451,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.175233632,
            0.175963178,
            0.176692724,
            0.17742227,
            0.178151831,
            0.178881377,
            0.179610923,
            0.180340469,
            0.18107003,
            0.181799576,
            0.182529122,
            0.183258668,
            0.183988228,
            0.184717774,
            0.18544732,
            0.186176866,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186994508,
            0.187967241,
            0.188939974,
            0.189912722,
            0.190885454,
            0.191858187,
            0.19283092,
            0.193803668,
            0.194776401,
            0.195749134,
            0.196721867,
            0.197694615,
            0.198667347,
            0.19964008,
            0.200612813,
            0.201585561,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.202317014,
            0.20304656,
            0.203776106,
            0.204505652,
            0.205235198,
            0.205964744,
            0.20669429,
            0.207423836,
            0.208153382,
            0.208882928,
            0.209612474,
            0.21034202,
            0.211071566,
            0.211801112,
            0.212530658,
            0.213260204,
            0.21398975,
            0.21471931,
            0.215448856,
            0.216178402,
            0.216907948,
            0.217637509,
            0.218367055,
            0.219096601,
            0.219826147,
            0.220555693,
            0.221285254,
            0.2220148,
            0.222744346,
            0.223473892,
            0.224203452,
            0.224932998,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.224772155,
            0.224042609,
            0.223313048,
            0.222583503,
            0.221853957,
            0.221124411,
            0.22039485,
            0.219665304,
            0.218935758,
            0.218206212,
            0.217476651,
            0.216747105,
            0.216017559,
            0.215288013,
            0.214558452,
            0.213828906,
            0.21309936,
            0.212369815,
            0.211640269,
            0.210910723,
            0.210181177,
            0.209451631,
            0.208722085,
            0.207992539,
            0.207262993,
            0.206533447,
            0.205803901,
            0.205074355,
            0.204344809,
            0.203615263,
            0.202885717,
            0.202156171,
            0.201248541,
            0.200275809,
            0.199303076,
            0.198330328,
            0.197357595,
            0.196384862,
            0.195412129,
            0.194439381,
            0.193466648,
            0.192493916,
            0.191521183,
            0.190548435,
            0.189575702,
            0.188602969,
            0.187630236,
            0.186657488,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185654119,
            0.184924573,
            0.184195027,
            0.183465481,
            0.18273592,
            0.182006374,
            0.181276828,
            0.180547282,
            0.179817721,
            0.179088175,
            0.178358629,
            0.177629083,
            0.176899523,
            0.176169977,
            0.175440431,
            0.174710885,
            0.173452839,
            0.171993732,
            0.170534641,
            0.169075534,
            0.167616442,
            0.166157335,
            0.164698243,
            0.163239151,
            0.161780044,
            0.160320938,
            0.158861846,
            0.157402754,
            0.155943647,
            0.154484555,
            0.153025448,
            0.151566356,
            0.150543839,
            0.149814278,
            0.149084732,
            0.148355186,
            0.14762564,
            0.146896079,
            0.146166533,
            0.145436987,
            0.144707441,
            0.14397788,
            0.143248335,
            0.142518789,
            0.141789243,
            0.141059682,
            0.140330136,
            0.13960059,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.138878703,
            0.13790597,
            0.136933237,
            0.135960504,
            0.134987772,
            0.134015039,
            0.133042306,
            0.132069573,
            0.13109684,
            0.130124107,
            0.129151374,
            0.128178641,
            0.127205908,
            0.126233175,
            0.125260442,
            0.12428771,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123006687,
            0.122277133,
            0.121547587,
            0.120818034,
            0.120088488,
            0.119358942,
            0.118629389,
            0.117899835,
            0.117170289,
            0.116440743,
            0.11571119,
            0.114981636,
            0.11425209,
            0.113522545,
            0.112792991,
            0.112063445,
            0.111333892,
            0.110604346,
            0.109874792,
            0.109145246,
            0.108415693,
            0.107686147,
            0.106956594,
            0.106227048,
            0.105497494,
            0.104767948,
            0.104038395,
            0.103308849,
            0.102579296,
            0.10184975,
            0.101120196,
            0.10039065,
            0.0993221775,
            0.0978630781,
            0.0964039788,
            0.0949448794,
            0.0934857801,
            0.0920266807,
            0.0905675814,
            0.089108482,
            0.0876493827,
            0.0861902833,
            0.0847311839,
            0.0832720846,
            0.0818129852,
            0.0803538859,
            0.0788947865,
            0.0774356872,
            0.0761412606,
            0.0751685277,
            0.0741957948,
            0.0732230619,
            0.072250329,
            0.0712775961,
            0.0703048632,
            0.0693321303,
            0.0683594048,
            0.0673866719,
            0.066413939,
            0.0654412061,
            0.0644684732,
            0.0634957403,
            0.0625230074,
            0.0615502708,
            0.0606292374,
            0.0598996878,
            0.0591701381,
            0.0584405884,
            0.0577110387,
            0.0569814891,
            0.0562519431,
            0.0555223897,
            0.0547928438,
            0.0540632941,
            0.0533337444,
            0.052604191,
            0.0518746451,
            0.0511450954,
            0.0504155457,
            0.049685996,
            0.0488932543,
            0.0474341586,
            0.0459750593,
            0.0445159599,
            0.0430568606,
            0.0415977612,
            0.0401386619,
            0.0386795625,
            0.0372204632,
            0.0357613638,
            0.0343022645,
            0.0328431651,
            0.0313840657,
            0.0299249664,
            0.028465867,
            0.0270067677,
            0.0255476683,
            0.0247893967,
            0.024059847,
            0.0233302973,
            0.0226007476,
            0.021871198,
            0.0211416483,
            0.0204120986,
            0.0196825489,
            0.0189530011,
            0.0182234515,
            0.0174939018,
            0.0167643521,
            0.0160348024,
            0.0153052527,
            0.0145757031,
            0.0138461534,
            0.0131166037,
            0.012387054,
            0.0116575044,
            0.0109279547,
            0.010198405,
            0.00946885534,
            0.00873930566,
            0.00800975598,
            0.00728020724,
            0.00655065756,
            0.00582110789,
            0.00509155821,
            0.00436200853,
            0.00363245886,
            0.00290290918,
            0.00217335951,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00139402482,
            0.000421292032,
            -0.000551440753,
            -0.00152417365,
            -0.00249690656,
            -0.00346963899,
            -0.00444237189,
            -0.0054151048,
            -0.00638783723,
            -0.00736057013,
            -0.00833330303,
            -0.00930603594,
            -0.0102787688,
            -0.0112515017,
            -0.0122242346,
            -0.0131969666,
            -0.0140586393,
            -0.014788189,
            -0.0155177386,
            -0.0162472893,
            -0.0169768371,
            -0.0177063867,
            -0.0184359364,
            -0.0191654861,
            -0.0198950358,
            -0.0206245854,
            -0.0213541351,
            -0.0220836848,
            -0.0228132345,
            -0.0235427842,
            -0.0242723338,
            -0.0250018835,
            -0.0259727016,
            -0.027431801,
            -0.0288909003,
            -0.0303499997,
            -0.031809099,
            -0.0332681984,
            -0.0347272977,
            -0.0361863971,
            -0.0376454964,
            -0.0391045958,
            -0.0405636951,
            -0.0420227945,
            -0.0434818938,
            -0.0449409932,
            -0.0464000925,
            -0.0478591919,
            -0.0491689332,
            -0.0498984829,
            -0.0506280325,
            -0.0513575822,
            -0.0520871282,
            -0.0528166816,
            -0.0535462275,
            -0.0542757809,
            -0.0550053269,
            -0.0557348765,
            -0.0564644262,
            -0.0571939759,
            -0.0579235256,
            -0.0586530752,
            -0.0593826249,
            -0.0601121746,
            -0.0608608723,
            -0.0618336052,
            -0.0628063381,
            -0.063779071,
            -0.0647518039,
            -0.0657245368,
            -0.0666972697,
            -0.0676700026,
            -0.0686427355,
            -0.0696154684,
            -0.0705882013,
            -0.0715609342,
            -0.0725336671,
            -0.0735064,
            -0.0744791329,
            -0.0754518658,
            -0.0764245987,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.076797992,
            -0.0775275379,
            -0.0782570913,
            -0.0789866373,
            -0.0797161907,
            -0.0804457366,
            -0.08117529,
            -0.081904836,
            -0.0826343894,
            -0.0833639354,
            -0.0840934888,
            -0.0848230347,
            -0.0855525881,
            -0.0862821341,
            -0.08701168,
            -0.0877412334,
            -0.0884707794,
            -0.0892003328,
            -0.0899298787,
            -0.0906594321,
            -0.0913889781,
            -0.0921185315,
            -0.0928480774,
            -0.0935776308,
            -0.0943071768,
            -0.0950367302,
            -0.0957662761,
            -0.0964958295,
            -0.0972253755,
            -0.0979549289,
            -0.0986844748,
            -0.0994140282,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0994025394,
            -0.098672986,
            -0.0979434401,
            -0.0972138867,
            -0.0964843407,
            -0.0957547873,
            -0.0950252414,
            -0.094295688,
            -0.093566142,
            -0.0928365886,
            -0.0921070427,
            -0.0913774893,
            -0.0906479433,
            -0.0899183899,
            -0.089188844,
            -0.088459298,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0886488631,
            -0.0893784091,
            -0.0901079625,
            -0.0908375084,
            -0.0915670618,
            -0.0922966078,
            -0.0930261612,
            -0.0937557071,
            -0.0944852605,
            -0.0952148065,
            -0.0959443599,
            -0.0966739058,
            -0.0974034593,
            -0.0981330052,
            -0.0988625586,
            -0.0995921046,
            -0.100321658,
            -0.101051204,
            -0.10178075,
            -0.102510296,
            -0.103239849,
            -0.103969395,
            -0.104698941,
            -0.105428487,
            -0.106158033,
            -0.106887586,
            -0.107617132,
            -0.108346678,
            -0.109076224,
            -0.109805778,
            -0.110535324,
            -0.11126487,
            -0.112300791,
            -0.114003077,
            -0.115705363,
            -0.11740765,
            -0.119109936,
            -0.120812222,
            -0.122514509,
            -0.124216795,
            -0.125919074,
            -0.127621368,
            -0.129323661,
            -0.13102594,
            -0.132728219,
            -0.134430513,
            -0.136132792,
            -0.137835085,
            -0.139353544,
            -0.140083089,
            -0.14081265,
            -0.141542196,
            -0.142271742,
            -0.143001288,
            -0.143730849,
            -0.144460395,
            -0.145189941,
            -0.145919487,
            -0.146649048,
            -0.147378594,
            -0.14810814,
            -0.148837686,
            -0.149567246,
            -0.150296792,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.151296332,
            -0.152025878,
            -0.152755424,
            -0.153484985,
            -0.154214531,
            -0.154944077,
            -0.155673623,
            -0.156403184,
            -0.15713273,
            -0.157862276,
            -0.158591822,
            -0.159321368,
            -0.160050929,
            -0.160780475,
            -0.16151002,
            -0.162239581,
            -0.163193151,
            -0.164652258,
            -0.16611135,
            -0.167570457,
            -0.169029549,
            -0.170488656,
            -0.171947747,
            -0.173406854,
            -0.174865946,
            -0.176325053,
            -0.177784145,
            -0.179243252,
            -0.180702344,
            -0.18216145,
            -0.183620542,
            -0.185079649,
            -0.186406627,
            -0.187136173,
            -0.187865719,
            -0.188595265,
            -0.189324826,
            -0.190054372,
            -0.190783918,
            -0.191513464,
            -0.192243025,
            -0.192972571,
            -0.193702117,
            -0.194431663,
            -0.195161223,
            -0.195890769,
            -0.196620315,
            -0.197349861,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.19736135,
            -0.196631804,
            -0.195902258,
            -0.195172712,
            -0.194443151,
            -0.193713605,
            -0.192984059,
            -0.192254514,
            -0.191524953,
            -0.190795407,
            -0.190065861,
            -0.189336315,
            -0.188606754,
            -0.187877208,
            -0.187147662,
            -0.186418116,
            -0.185688555,
            -0.184959009,
            -0.184229463,
            -0.183499917,
            -0.182770357,
            -0.182040811,
            -0.181311265,
            -0.180581719,
            -0.179852158,
            -0.179122612,
            -0.178393066,
            -0.17766352,
            -0.176933974,
            -0.176204413,
            -0.175474867,
            -0.174745321,
            -0.17401576,
            -0.173286214,
            -0.172556669,
            -0.171827123,
            -0.171097577,
            -0.170368016,
            -0.16963847,
            -0.168908924,
            -0.168179378,
            -0.167449817,
            -0.166720271,
            -0.165990725,
            -0.165261179,
            -0.164531618,
            -0.163802072,
            -0.163072526,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162963375,
            -0.163692921,
            -0.164422482,
            -0.165152028,
            -0.165881574,
            -0.16661112,
            -0.167340681,
            -0.168070227,
            -0.168799773,
            -0.169529319,
            -0.17025888,
            -0.170988426,
            -0.171717972,
            -0.172447518,
            -0.173177078,
            -0.173906624,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.17334941,
            -0.171890303,
            -0.170431212,
            -0.168972105,
            -0.167513013,
            -0.166053906,
            -0.164594814,
            -0.163135707,
            -0.161676615,
            -0.160217509,
            -0.158758417,
            -0.15729931,
            -0.155840218,
            -0.154381126,
            -0.152922019,
            -0.151462913,
            -0.149841055,
            -0.148138776,
            -0.146436498,
            -0.144734204,
            -0.143031925,
            -0.141329631,
            -0.139627352,
            -0.137925074,
            -0.13622278,
            -0.134520501,
            -0.132818222,
            -0.131115928,
            -0.129413649,
            -0.127711371,
            -0.126009077,
            -0.124306798,
            -0.123133004,
            -0.12240345,
            -0.121673904,
            -0.120944351,
            -0.120214798,
            -0.119485244,
            -0.118755698,
            -0.118026145,
            -0.117296591,
            -0.116567038,
            -0.115837492,
            -0.115107939,
            -0.114378385,
            -0.113648832,
            -0.112919286,
            -0.112189732,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111552097,
            -0.110822544,
            -0.110092998,
            -0.109363452,
            -0.108633906,
            -0.107904352,
            -0.107174806,
            -0.10644526,
            -0.105715714,
            -0.104986161,
            -0.104256615,
            -0.103527069,
            -0.102797523,
            -0.102067977,
            -0.101338424,
            -0.100608878,
            -0.0998793319,
            -0.0991497785,
            -0.0984202325,
            -0.0976906791,
            -0.0969611332,
            -0.0962315798,
            -0.0955020338,
            -0.0947724804,
            -0.0940429345,
            -0.0933133811,
            -0.0925838351,
            -0.0918542817,
            -0.0911247358,
            -0.0903951824,
            -0.0896656364,
            -0.088936083,
            -0.0882065371,
            -0.0874769837,
            -0.0867474377,
            -0.0860178843,
            -0.0852883384,
            -0.084558785,
            -0.083829239,
            -0.0830996931,
            -0.0823701397,
            -0.0816405937,
            -0.0809110403,
            -0.0801814944,
            -0.079451941,
            -0.078722395,
            -0.0779928416,
            -0.0772632957,
            -0.0765337422,
            -0.0755820721,
            -0.0746093392,
            -0.0736366063,
            -0.0726638734,
            -0.0716911405,
            -0.0707184076,
            -0.0697456747,
            -0.0687729418,
            -0.0678002089,
            -0.066827476,
            -0.0658547431,
            -0.0648820102,
            -0.0639092773,
            -0.0629365444,
            -0.0619638152,
            -0.0609910823,
            -0.0596353821,
            -0.0581762828,
            -0.0567171834,
            -0.0552580878,
            -0.0537989885,
            -0.0523398891,
            -0.0508807898,
            -0.0494216904,
            -0.0479625911,
            -0.0465034917,
            -0.0450443923,
            -0.043585293,
            -0.0421261936,
            -0.0406670943,
            -0.0392079949,
            -0.0377488956,
            -0.0362897962,
            -0.0348306969,
            -0.0333715975,
            -0.0319124982,
            -0.0304533988,
            -0.0289942995,
            -0.0275352001,
            -0.0260761026,
            -0.0246170033,
            -0.0231579039,
            -0.0216988046,
            -0.0202397052,
            -0.0187806059,
            -0.0173215065,
            -0.0158624072,
            -0.0144033097,
            -0.0128140012,
            -0.0111117186,
            -0.00940943696,
            -0.00770715438,
            -0.0060048718,
            -0.00430258922,
            -0.00260030665,
            -0.000898024999,
            0.000804257579,
            0.00250653923,
            0.0042088218,
            0.00591110438,
            0.00761338696,
            0.00931566954,
            0.0110179521,
            0.0127202347,
            0.0140242325,
            0.0147537822,
            0.0154833319,
            0.0162128806,
            0.0169424303,
            0.01767198,
            0.0184015296,
            0.0191310793,
            0.019860629,
            0.0205901787,
            0.0213197283,
            0.022049278,
            0.0227788277,
            0.0235083774,
            0.024237927,
            0.0249674767,
            0.0256970264,
            0.0264265761,
            0.0271561258,
            0.0278856754,
            0.0286152251,
            0.0293447748,
            0.0300743245,
            0.0308038723,
            0.0315334238,
            0.0322629735,
            0.0329925232,
            0.0337220728,
            0.0344516188,
            0.0351811722,
            0.0359107181,
            0.0366402715,
            0.0373698175,
            0.0380993672,
            0.0388289168,
            0.0395584665,
            0.0402880162,
            0.0410175659,
            0.0417471156,
            0.0424766652,
            0.0432062149,
            0.0439357646,
            0.0446653143,
            0.0453948639,
            0.0461244136,
            0.0468539633,
            0.047583513,
            0.0483130626,
            0.0490426123,
            0.049772162,
            0.0505017117,
            0.0512312613,
            0.051960811,
            0.0526903607,
            0.0534199104,
            0.05414946,
            0.0548790097,
            0.0556085594,
            0.0563381091,
            0.0570676588,
            0.0577972084,
            0.0585267581,
            0.0592563078,
            0.0599858575,
            0.0607154071,
            0.0616651624,
            0.0626378953,
            0.0636106282,
            0.0645833611,
            0.0655560941,
            0.066528827,
            0.0675015599,
            0.0684742928,
            0.0694470257,
            0.0704197586,
            0.0713924915,
            0.0723652244,
            0.0733379573,
            0.0743106902,
            0.0752834231,
            0.076256156,
            0.0770393163,
            0.0777688697,
            0.0784984156,
            0.0792279691,
            0.079957515,
            0.0806870684,
            0.0814166144,
            0.0821461678,
            0.0828757137,
            0.0836052671,
            0.0843348131,
            0.0850643665,
            0.0857939124,
            0.0865234584,
            0.0872530118,
            0.0879825652,
            0.0887121111,
            0.0894416571,
            0.0901712105,
            0.0909007564,
            0.0916303098,
            0.0923598558,
            0.0930894092,
            0.0938189551,
            0.0945485085,
            0.0952780545,
            0.0960076079,
            0.0967371538,
            0.0974667072,
            0.0981962532,
            0.0989258066,
            0.0996553525,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0997989699,
            0.0990694165,
            0.0983398706,
            0.0976103172,
            0.0968807712,
            0.0961512178,
            0.0954216719,
            0.0946921185,
            0.0939625725,
            0.0932330191,
            0.0925034732,
            0.0917739198,
            0.0910443738,
            0.0903148204,
            0.0895852745,
            0.0888557211,
            0.0881261751,
            0.0873966217,
            0.0866670758,
            0.0859375224,
            0.0852079764,
            0.084478423,
            0.083748877,
            0.0830193236,
            0.0822897777,
            0.0815602243,
            0.0808306783,
            0.0801011249,
            0.079371579,
            0.0786420256,
            0.0779124796,
            0.0771829337,
            0.0764476359,
            0.075474903,
            0.0745021701,
            0.0735294372,
            0.0725567043,
            0.0715839714,
            0.0706112385,
            0.0696385056,
            0.0686657727,
            0.0676930398,
            0.0667203069,
            0.065747574,
            0.0647748411,
            0.0638021082,
            0.0628293753,
            0.0618566424,
            0.0608839095,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0602213815,
            0.0594918318,
            0.0587622821,
            0.0580327325,
            0.0573031828,
            0.0565736331,
            0.0558440834,
            0.0551145338,
            0.0543849841,
            0.0536554344,
            0.0529258847,
            0.052196335,
            0.0514667854,
            0.0507372357,
            0.050007686,
            0.0492781363,
            0.0485485867,
            0.047819037,
            0.0470894873,
            0.0463599376,
            0.045630388,
            0.0449008383,
            0.0441712886,
            0.0434417389,
            0.0427121893,
            0.0419826396,
            0.0412530899,
            0.0405235402,
            0.0397939906,
            0.0390644446,
            0.0383348912,
            0.0376053452,
            0.0368757918,
            0.0361462422,
            0.0354166925,
            0.0346871465,
            0.0339575969,
            0.0332280472,
            0.0324984975,
            0.0317689478,
            0.0310393963,
            0.0303098466,
            0.0295802988,
            0.0288507491,
            0.0281211995,
            0.0273916498,
            0.0266621001,
            0.0259325504,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0255936254,
            0.0263231751,
            0.0270527247,
            0.0277822744,
            0.0285118241,
            0.0292413738,
            0.0299709216,
            0.0307004713,
            0.0314300209,
            0.0321595706,
            0.0328891203,
            0.03361867,
            0.0343482196,
            0.0350777693,
            0.035807319,
            0.0365368687,
            0.0372434407,
            0.0365138911,
            0.0357843414,
            0.0350547917,
            0.034325242,
            0.0335956924,
            0.0328661427,
            0.032136593,
            0.0314070433,
            0.0306774937,
            0.029947944,
            0.0292183943,
            0.0284888446,
            0.027759295,
            0.0270297453,
            0.0263001956,
            0.0255706459,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0260474402,
            0.0267769881,
            0.0275065377,
            0.0282360874,
            0.0289656371,
            0.0296951868,
            0.0304247364,
            0.0311542861,
            0.0318838358,
            0.0326133855,
            0.0333429351,
            0.0340724848,
            0.0348020345,
            0.0355315842,
            0.0362611338,
            0.0369906835,
            0.0377202332,
            0.0384497829,
            0.0391793326,
            0.0399088822,
            0.0406384319,
            0.0413679816,
            0.0420975313,
            0.0428270809,
            0.0435566306,
            0.0442861803,
            0.04501573,
            0.0457452796,
            0.0464748293,
            0.0472043753,
            0.0479339287,
            0.0486634746,
            0.049393028,
            0.050122574,
            0.0508521236,
            0.0515816733,
            0.052311223,
            0.0530407727,
            0.0537703224,
            0.054499872,
            0.0552294217,
            0.0559589714,
            0.0566885211,
            0.0574180707,
            0.0581476204,
            0.0588771701,
            0.0596067198,
            0.0603362694,
            0.061159648,
            0.0621323809,
            0.0631051138,
            0.0640778467,
            0.0650505796,
            0.0660233125,
            0.0669960454,
            0.0679687783,
            0.0689415112,
            0.0699142441,
            0.070886977,
            0.0718597099,
            0.0728324428,
            0.0738051683,
            0.0747779012,
            0.0757506341,
            0.0770393163,
            0.0792279691,
            0.0814166144,
            0.0836052671,
            0.0857939124,
            0.0879825652,
            0.0901712105,
            0.0923598558,
            0.0945485085,
            0.0967371538,
            0.0989258066,
            0.101114452,
            0.103303105,
            0.10549175,
            0.107680403,
            0.109869048,
            0.11199259,
            0.113694876,
            0.115397155,
            0.117099442,
            0.11880172,
            0.120504007,
            0.122206286,
            0.123908572,
            0.125610858,
            0.127313137,
            0.129015416,
            0.130717695,
            0.132419989,
            0.134122267,
            0.135824546,
            0.137526825,
            0.13922146,
            0.139951006,
            0.140680552,
            0.141410097,
            0.142139643,
            0.142869204,
            0.14359875,
            0.144328296,
            0.145057842,
            0.145787403,
            0.146516949,
            0.147246495,
            0.147976041,
            0.148705602,
            0.149435148,
            0.150164694,
            0.15089424,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.15143998,
            0.152169526,
            0.152899086,
            0.153628632,
            0.154358193,
            0.155087739,
            0.1558173,
            0.156546846,
            0.157276407,
            0.158005953,
            0.158735514,
            0.15946506,
            0.160194606,
            0.160924166,
            0.161653727,
            0.162383273,
            0.163112819,
            0.163842365,
            0.164571911,
            0.165301457,
            0.166031003,
            0.166760549,
            0.167490095,
            0.168219641,
            0.168949187,
            0.169678733,
            0.170408279,
            0.171137825,
            0.171867371,
            0.172596917,
            0.173326463,
            0.174056008,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823
          ],
          [
            0.162745178,
            0.163474724,
            0.16420427,
            0.164933816,
            0.165663362,
            0.166392908,
            0.167122453,
            0.167851999,
            0.168581545,
            0.169311091,
            0.170040637,
            0.170770183,
            0.171499729,
            0.172229275,
            0.172958821,
            0.173688367,
            0.174417913,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174056008,
            0.173326463,
            0.172596917,
            0.171867371,
            0.171137825,
            0.170408279,
            0.169678733,
            0.168949187,
            0.168219641,
            0.167490095,
            0.166760549,
            0.166031003,
            0.165301457,
            0.164571911,
            0.163842365,
            0.163112819,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162923262,
            0.163652807,
            0.164382353,
            0.165111899,
            0.165841445,
            0.166570991,
            0.167300537,
            0.168030083,
            0.168759629,
            0.169489175,
            0.170218721,
            0.170948267,
            0.171677813,
            0.172407359,
            0.173136905,
            0.173866451,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.175049812,
            0.175779358,
            0.176508904,
            0.177238449,
            0.17796801,
            0.178697556,
            0.179427102,
            0.180156648,
            0.180886209,
            0.181615755,
            0.182345301,
            0.183074847,
            0.183804393,
            0.184533954,
            0.1852635,
            0.185993046,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186749414,
            0.187722147,
            0.188694879,
            0.189667612,
            0.19064036,
            0.191613093,
            0.192585826,
            0.193558559,
            0.194531292,
            0.19550404,
            0.196476772,
            0.197449505,
            0.198422253,
            0.199394986,
            0.200367719,
            0.201340452,
            0.202225104,
            0.20295465,
            0.203684196,
            0.204413742,
            0.205143288,
            0.205872834,
            0.20660238,
            0.207331926,
            0.208061472,
            0.208791018,
            0.209520563,
            0.210250109,
            0.210979655,
            0.211709201,
            0.212438747,
            0.213168293,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.21300745,
            0.212277904,
            0.211548358,
            0.210818812,
            0.210089266,
            0.20935972,
            0.208630174,
            0.207900628,
            0.207171082,
            0.206441537,
            0.205711991,
            0.204982445,
            0.204252899,
            0.203523353,
            0.202793807,
            0.202064261,
            0.201125994,
            0.200153261,
            0.199180514,
            0.198207781,
            0.197235048,
            0.196262315,
            0.195289582,
            0.194316834,
            0.193344101,
            0.192371368,
            0.191398636,
            0.190425888,
            0.189453155,
            0.188480422,
            0.187507689,
            0.186534941,
            0.185740292,
            0.185010746,
            0.184281185,
            0.183551639,
            0.182822093,
            0.182092547,
            0.181362987,
            0.180633441,
            0.179903895,
            0.179174349,
            0.178444803,
            0.177715242,
            0.176985696,
            0.17625615,
            0.175526604,
            0.174797043,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174768329,
            0.175497875,
            0.176227421,
            0.176956981,
            0.177686527,
            0.178416073,
            0.179145619,
            0.179875165,
            0.180604726,
            0.181334272,
            0.182063818,
            0.182793364,
            0.183522925,
            0.184252471,
            0.184982017,
            0.185711563,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185562208,
            0.184832662,
            0.184103116,
            0.18337357,
            0.18264401,
            0.181914464,
            0.181184918,
            0.180455372,
            0.179725811,
            0.178996265,
            0.178266719,
            0.177537173,
            0.176807612,
            0.176078066,
            0.17534852,
            0.174618974,
            0.173889428,
            0.173159882,
            0.172430336,
            0.171700791,
            0.170971245,
            0.170241699,
            0.169512153,
            0.168782607,
            0.168053061,
            0.167323515,
            0.166593969,
            0.165864423,
            0.165134877,
            0.164405331,
            0.163675785,
            0.162946239,
            0.162216678,
            0.161487132,
            0.160757571,
            0.160028026,
            0.159298465,
            0.158568919,
            0.157839358,
            0.157109812,
            0.156380251,
            0.155650705,
            0.154921144,
            0.154191598,
            0.153462037,
            0.152732491,
            0.152002931,
            0.151273385,
            0.150543839,
            0.149814278,
            0.149084732,
            0.148355186,
            0.14762564,
            0.146896079,
            0.146166533,
            0.145436987,
            0.144707441,
            0.14397788,
            0.143248335,
            0.142518789,
            0.141789243,
            0.141059682,
            0.140330136,
            0.13960059,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.138878703,
            0.13790597,
            0.136933237,
            0.135960504,
            0.134987772,
            0.134015039,
            0.133042306,
            0.132069573,
            0.13109684,
            0.130124107,
            0.129151374,
            0.128178641,
            0.127205908,
            0.126233175,
            0.125260442,
            0.12428771,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.124348983,
            0.125321716,
            0.126294449,
            0.127267182,
            0.128239915,
            0.129212648,
            0.130185381,
            0.131158113,
            0.132130846,
            0.133103579,
            0.134076312,
            0.135049045,
            0.136021778,
            0.136994511,
            0.137967244,
            0.138939977,
            0.138518706,
            0.137545973,
            0.13657324,
            0.135600507,
            0.134627774,
            0.133655041,
            0.132682309,
            0.131709576,
            0.130736843,
            0.12976411,
            0.128791377,
            0.127818644,
            0.126845911,
            0.125873178,
            0.124900453,
            0.12392772,
            0.123098597,
            0.122369051,
            0.121639498,
            0.120909952,
            0.120180398,
            0.119450852,
            0.118721299,
            0.117991753,
            0.1172622,
            0.116532654,
            0.1158031,
            0.115073554,
            0.114344001,
            0.113614455,
            0.112884901,
            0.112155356,
            0.111086883,
            0.109627783,
            0.108168684,
            0.106709585,
            0.105250485,
            0.103791386,
            0.102332287,
            0.100873187,
            0.0994140878,
            0.0979549885,
            0.0964958891,
            0.0950367898,
            0.0935776904,
            0.0921185911,
            0.0906594917,
            0.0892003924,
            0.0879883021,
            0.0872587562,
            0.0865292102,
            0.0857996568,
            0.0850701109,
            0.0843405575,
            0.0836110115,
            0.0828814581,
            0.0821519122,
            0.0814223588,
            0.0806928128,
            0.0799632594,
            0.0792337134,
            0.07850416,
            0.0777746141,
            0.0770450607,
            0.076108709,
            0.0744064301,
            0.0727041438,
            0.071001865,
            0.0692995787,
            0.0675972998,
            0.0658950135,
            0.0641927347,
            0.0624904521,
            0.0607881695,
            0.0590858869,
            0.0573836043,
            0.0556813218,
            0.0539790392,
            0.0522767603,
            0.050574474,
            0.0489564463,
            0.0482268967,
            0.047497347,
            0.0467677973,
            0.0460382476,
            0.045308698,
            0.0445791483,
            0.0438495986,
            0.0431200489,
            0.0423904993,
            0.0416609496,
            0.0409313999,
            0.0402018502,
            0.0394723006,
            0.0387427509,
            0.0380132012,
            0.0372836515,
            0.0365541019,
            0.0358245522,
            0.0350950025,
            0.0343654528,
            0.0336359031,
            0.0329063535,
            0.0321768038,
            0.0314472541,
            0.0307177063,
            0.0299881566,
            0.029258607,
            0.0285290573,
            0.0277995076,
            0.0270699579,
            0.0263404083,
            0.0256108586,
            0.0248813089,
            0.0241517592,
            0.0234222095,
            0.0226926599,
            0.0219631102,
            0.0212335605,
            0.0205040108,
            0.0197744612,
            0.0190449134,
            0.0183153637,
            0.017585814,
            0.0168562643,
            0.0161267146,
            0.015397164,
            0.0146676144,
            0.0139380647,
            0.0132085159,
            0.0124789663,
            0.0117494166,
            0.0110198669,
            0.0102903172,
            0.00956076756,
            0.00883121789,
            0.00810166821,
            0.007372119,
            0.00664256932,
            0.00591301965,
            0.00518347044,
            0.00445392076,
            0.00372437108,
            0.00299482141,
            0.00226527173,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00151657383,
            0.000543841044,
            -0.000428891741,
            -0.00140162464,
            -0.00237435754,
            -0.00334708998,
            -0.00431982288,
            -0.00529255578,
            -0.00626528822,
            -0.00723802112,
            -0.00821075402,
            -0.00918348692,
            -0.0101562198,
            -0.0111289527,
            -0.0121016856,
            -0.0130744176,
            -0.0142079964,
            -0.0156670958,
            -0.0171261951,
            -0.0185852945,
            -0.0200443938,
            -0.0215034932,
            -0.0229625925,
            -0.0244216919,
            -0.0258807894,
            -0.0273398887,
            -0.0287989881,
            -0.0302580874,
            -0.0317171887,
            -0.033176288,
            -0.0346353874,
            -0.0360944867,
            -0.0375535823,
            -0.0390126817,
            -0.040471781,
            -0.0419308804,
            -0.0433899797,
            -0.0448490791,
            -0.0463081785,
            -0.0477672778,
            -0.0492263772,
            -0.0506854765,
            -0.0521445759,
            -0.0536036715,
            -0.0550627708,
            -0.0565218702,
            -0.0579809695,
            -0.0594400689,
            -0.0608608723,
            -0.0618336052,
            -0.0628063381,
            -0.063779071,
            -0.0647518039,
            -0.0657245368,
            -0.0666972697,
            -0.0676700026,
            -0.0686427355,
            -0.0696154684,
            -0.0705882013,
            -0.0715609342,
            -0.0725336671,
            -0.0735064,
            -0.0744791329,
            -0.0754518658,
            -0.0764245987,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0756663233,
            -0.0746935904,
            -0.0737208575,
            -0.0727481246,
            -0.0717753917,
            -0.0708026588,
            -0.0698299259,
            -0.068857193,
            -0.0678844601,
            -0.0669117272,
            -0.0659389943,
            -0.0649662614,
            -0.0639935285,
            -0.0630207956,
            -0.0620480664,
            -0.0610753335,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0613434091,
            -0.062316142,
            -0.0632888749,
            -0.0642616078,
            -0.0652343407,
            -0.0662070736,
            -0.0671798065,
            -0.0681525394,
            -0.0691252723,
            -0.0700980052,
            -0.0710707381,
            -0.072043471,
            -0.0730162039,
            -0.0739889368,
            -0.0749616697,
            -0.0759344026,
            -0.076797992,
            -0.0775275379,
            -0.0782570913,
            -0.0789866373,
            -0.0797161907,
            -0.0804457366,
            -0.08117529,
            -0.081904836,
            -0.0826343894,
            -0.0833639354,
            -0.0840934888,
            -0.0848230347,
            -0.0855525881,
            -0.0862821341,
            -0.08701168,
            -0.0877412334,
            -0.0884707794,
            -0.0892003328,
            -0.0899298787,
            -0.0906594321,
            -0.0913889781,
            -0.0921185315,
            -0.0928480774,
            -0.0935776308,
            -0.0943071768,
            -0.0950367302,
            -0.0957662761,
            -0.0964958295,
            -0.0972253755,
            -0.0979549289,
            -0.0986844748,
            -0.0994140282,
            -0.0998563543,
            -0.0991268009,
            -0.0983972549,
            -0.0976677015,
            -0.0969381556,
            -0.0962086022,
            -0.0954790562,
            -0.0947495028,
            -0.0940199569,
            -0.0932904035,
            -0.0925608575,
            -0.0918313041,
            -0.0911017582,
            -0.0903722048,
            -0.0896426588,
            -0.0889131054,
            -0.0882869586,
            -0.089016512,
            -0.089746058,
            -0.0904756114,
            -0.0912051573,
            -0.0919347107,
            -0.0926642567,
            -0.0933938026,
            -0.094123356,
            -0.0948529094,
            -0.0955824554,
            -0.0963120013,
            -0.0970415547,
            -0.0977711082,
            -0.0985006541,
            -0.0992302001,
            -0.0999597535,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100413568,
            -0.101143114,
            -0.10187266,
            -0.102602206,
            -0.10333176,
            -0.104061306,
            -0.104790851,
            -0.105520397,
            -0.106249951,
            -0.106979497,
            -0.107709043,
            -0.108438589,
            -0.109168142,
            -0.109897688,
            -0.110627234,
            -0.11135678,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.112300791,
            -0.114003077,
            -0.115705363,
            -0.11740765,
            -0.119109936,
            -0.120812222,
            -0.122514509,
            -0.124216795,
            -0.125919074,
            -0.127621368,
            -0.129323661,
            -0.13102594,
            -0.132728219,
            -0.134430513,
            -0.136132792,
            -0.137835085,
            -0.139353544,
            -0.140083089,
            -0.14081265,
            -0.141542196,
            -0.142271742,
            -0.143001288,
            -0.143730849,
            -0.144460395,
            -0.145189941,
            -0.145919487,
            -0.146649048,
            -0.147378594,
            -0.14810814,
            -0.148837686,
            -0.149567246,
            -0.150296792,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150296792,
            -0.149567246,
            -0.148837686,
            -0.14810814,
            -0.147378594,
            -0.146649048,
            -0.145919487,
            -0.145189941,
            -0.144460395,
            -0.143730849,
            -0.143001288,
            -0.142271742,
            -0.141542196,
            -0.14081265,
            -0.140083089,
            -0.139353544,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139623538,
            -0.140353084,
            -0.14108263,
            -0.14181219,
            -0.142541736,
            -0.143271282,
            -0.144000828,
            -0.144730389,
            -0.145459935,
            -0.146189481,
            -0.146919027,
            -0.147648588,
            -0.148378134,
            -0.14910768,
            -0.149837226,
            -0.150566787,
            -0.151296332,
            -0.152025878,
            -0.152755424,
            -0.153484985,
            -0.154214531,
            -0.154944077,
            -0.155673623,
            -0.156403184,
            -0.15713273,
            -0.157862276,
            -0.158591822,
            -0.159321368,
            -0.160050929,
            -0.160780475,
            -0.16151002,
            -0.162239581,
            -0.162969127,
            -0.163698673,
            -0.164428219,
            -0.165157765,
            -0.165887326,
            -0.166616872,
            -0.167346418,
            -0.168075964,
            -0.168805525,
            -0.169535071,
            -0.170264617,
            -0.170994163,
            -0.171723723,
            -0.172453269,
            -0.173182815,
            -0.173912361,
            -0.174641922,
            -0.175371468,
            -0.176101014,
            -0.17683056,
            -0.177560121,
            -0.178289667,
            -0.179019213,
            -0.179748759,
            -0.18047832,
            -0.181207865,
            -0.181937411,
            -0.182666957,
            -0.183396518,
            -0.184126064,
            -0.18485561,
            -0.185585156,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.184918806,
            -0.183459699,
            -0.182000607,
            -0.1805415,
            -0.179082409,
            -0.177623302,
            -0.17616421,
            -0.174705103,
            -0.173246011,
            -0.171786904,
            -0.170327812,
            -0.168868706,
            -0.167409614,
            -0.165950507,
            -0.164491415,
            -0.163032308,
            -0.162159145,
            -0.161429599,
            -0.160700053,
            -0.159970507,
            -0.159240946,
            -0.1585114,
            -0.157781854,
            -0.157052308,
            -0.156322747,
            -0.155593202,
            -0.154863656,
            -0.15413411,
            -0.153404564,
            -0.152675003,
            -0.151945457,
            -0.151215911,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.15119867,
            -0.151928216,
            -0.152657777,
            -0.153387323,
            -0.154116869,
            -0.154846415,
            -0.155575976,
            -0.156305522,
            -0.157035068,
            -0.157764614,
            -0.158494174,
            -0.15922372,
            -0.159953266,
            -0.160682812,
            -0.161412373,
            -0.162141919,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.161584705,
            -0.160125598,
            -0.158666506,
            -0.1572074,
            -0.155748308,
            -0.154289201,
            -0.152830109,
            -0.151371002,
            -0.14991191,
            -0.148452803,
            -0.146993712,
            -0.145534605,
            -0.144075513,
            -0.142616421,
            -0.141157314,
            -0.139698207,
            -0.13807635,
            -0.136374071,
            -0.134671777,
            -0.132969499,
            -0.131267205,
            -0.129564926,
            -0.127862632,
            -0.126160353,
            -0.124458067,
            -0.122755781,
            -0.121053495,
            -0.119351208,
            -0.117648922,
            -0.115946636,
            -0.114244349,
            -0.112542063,
            -0.111368269,
            -0.110638723,
            -0.109909177,
            -0.109179631,
            -0.108450077,
            -0.107720532,
            -0.106990986,
            -0.10626144,
            -0.105531886,
            -0.10480234,
            -0.104072794,
            -0.103343248,
            -0.102613702,
            -0.101884149,
            -0.101154603,
            -0.100425057,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0998793319,
            -0.0991497785,
            -0.0984202325,
            -0.0976906791,
            -0.0969611332,
            -0.0962315798,
            -0.0955020338,
            -0.0947724804,
            -0.0940429345,
            -0.0933133811,
            -0.0925838351,
            -0.0918542817,
            -0.0911247358,
            -0.0903951824,
            -0.0896656364,
            -0.088936083,
            -0.0881682411,
            -0.0864659548,
            -0.0847636759,
            -0.0830613896,
            -0.0813591108,
            -0.0796568245,
            -0.0779545456,
            -0.0762522668,
            -0.0745499805,
            -0.0728477016,
            -0.0711454153,
            -0.0694431365,
            -0.0677408502,
            -0.0660385713,
            -0.064336285,
            -0.0626340061,
            -0.0609317198,
            -0.060117919,
            -0.0593883693,
            -0.0586588196,
            -0.05792927,
            -0.0571997203,
            -0.0564701706,
            -0.0557406209,
            -0.0550110713,
            -0.0542815253,
            -0.0535519719,
            -0.052822426,
            -0.0520928726,
            -0.0513633266,
            -0.0506337732,
            -0.0499042273,
            -0.0491746776,
            -0.0484451279,
            -0.0477155782,
            -0.0469860286,
            -0.0462564789,
            -0.0455269292,
            -0.0447973795,
            -0.0440678298,
            -0.0433382802,
            -0.0426087305,
            -0.0418791808,
            -0.0411496311,
            -0.0404200815,
            -0.0396905318,
            -0.0389609821,
            -0.0382314324,
            -0.0375018828,
            -0.0367723331,
            -0.0360427834,
            -0.0353132337,
            -0.0345836841,
            -0.0338541344,
            -0.0331245847,
            -0.032395035,
            -0.0316654854,
            -0.0309359357,
            -0.030206386,
            -0.0294768363,
            -0.0287472866,
            -0.028017737,
            -0.0272881873,
            -0.0265586376,
            -0.0258290898,
            -0.0245787073,
            -0.0228764247,
            -0.0211741421,
            -0.0194718596,
            -0.017769577,
            -0.0160672944,
            -0.0143650118,
            -0.0126627302,
            -0.0109604476,
            -0.00925816596,
            -0.00755588338,
            -0.0058536008,
            -0.00415131822,
            -0.00244903564,
            -0.000746753067,
            0.000955529511,
            0.00255824043,
            0.00401733955,
            0.00547643891,
            0.00693553779,
            0.00839463715,
            0.0098537365,
            0.0113128358,
            0.0127719343,
            0.0142310336,
            0.015690133,
            0.0171492323,
            0.0186083317,
            0.020067431,
            0.0215265304,
            0.0229856297,
            0.0244447272,
            0.0256970264,
            0.0264265761,
            0.0271561258,
            0.0278856754,
            0.0286152251,
            0.0293447748,
            0.0300743245,
            0.0308038723,
            0.0315334238,
            0.0322629735,
            0.0329925232,
            0.0337220728,
            0.0344516188,
            0.0351811722,
            0.0359107181,
            0.0366402715,
            0.0373698175,
            0.0380993672,
            0.0388289168,
            0.0395584665,
            0.0402880162,
            0.0410175659,
            0.0417471156,
            0.0424766652,
            0.0432062149,
            0.0439357646,
            0.0446653143,
            0.0453948639,
            0.0461244136,
            0.0468539633,
            0.047583513,
            0.0483130626,
            0.0490426123,
            0.049772162,
            0.0505017117,
            0.0512312613,
            0.051960811,
            0.0526903607,
            0.0534199104,
            0.05414946,
            0.0548790097,
            0.0556085594,
            0.0563381091,
            0.0570676588,
            0.0577972084,
            0.0585267581,
            0.0592563078,
            0.0599858575,
            0.0607154071,
            0.0616651624,
            0.0626378953,
            0.0636106282,
            0.0645833611,
            0.0655560941,
            0.066528827,
            0.0675015599,
            0.0684742928,
            0.0694470257,
            0.0704197586,
            0.0713924915,
            0.0723652244,
            0.0733379573,
            0.0743106902,
            0.0752834231,
            0.076256156,
            0.0770393163,
            0.0777688697,
            0.0784984156,
            0.0792279691,
            0.079957515,
            0.0806870684,
            0.0814166144,
            0.0821461678,
            0.0828757137,
            0.0836052671,
            0.0843348131,
            0.0850643665,
            0.0857939124,
            0.0865234584,
            0.0872530118,
            0.0879825652,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0880342647,
            0.0873047113,
            0.0865751654,
            0.085845612,
            0.085116066,
            0.0843865126,
            0.0836569667,
            0.0829274133,
            0.0821978673,
            0.0814683139,
            0.080738768,
            0.0800092146,
            0.0792796686,
            0.0785501152,
            0.0778205693,
            0.0770910159,
            0.0763250887,
            0.0753523558,
            0.0743796229,
            0.07340689,
            0.0724341571,
            0.0714614242,
            0.0704886913,
            0.0695159584,
            0.0685432255,
            0.0675704926,
            0.0665977597,
            0.0656250268,
            0.0646522939,
            0.063679561,
            0.0627068281,
            0.0617340952,
            0.0607671067,
            0.060037557,
            0.0593080074,
            0.0585784577,
            0.057848908,
            0.0571193583,
            0.0563898087,
            0.055660259,
            0.0549307093,
            0.0542011596,
            0.05347161,
            0.0527420603,
            0.0520125106,
            0.0512829609,
            0.0505534112,
            0.0498238616,
            0.0490943119,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0484566763,
            0.0477271266,
            0.046997577,
            0.0462680273,
            0.0455384776,
            0.0448089279,
            0.0440793782,
            0.0433498286,
            0.0426202789,
            0.0418907292,
            0.0411611795,
            0.0404316299,
            0.0397020802,
            0.0389725305,
            0.0382429808,
            0.0375134312,
            0.0367838815,
            0.0360543318,
            0.0353247821,
            0.0345952325,
            0.0338656828,
            0.0331361331,
            0.0324065834,
            0.0316770338,
            0.0309474841,
            0.0302179344,
            0.0294883847,
            0.028758835,
            0.0280292854,
            0.0272997376,
            0.0265701879,
            0.0258406382,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0255936254,
            0.0263231751,
            0.0270527247,
            0.0277822744,
            0.0285118241,
            0.0292413738,
            0.0299709216,
            0.0307004713,
            0.0314300209,
            0.0321595706,
            0.0328891203,
            0.03361867,
            0.0343482196,
            0.0350777693,
            0.035807319,
            0.0365368687,
            0.0372434407,
            0.0365138911,
            0.0357843414,
            0.0350547917,
            0.034325242,
            0.0335956924,
            0.0328661427,
            0.032136593,
            0.0314070433,
            0.0306774937,
            0.029947944,
            0.0292183943,
            0.0284888446,
            0.027759295,
            0.0270297453,
            0.0263001956,
            0.0255706459,
            0.0248410981,
            0.0241115484,
            0.0233819988,
            0.0226524491,
            0.0219228994,
            0.0211933497,
            0.0204638001,
            0.0197342504,
            0.0190047007,
            0.018275151,
            0.0175456014,
            0.0168160517,
            0.0160865039,
            0.0153569533,
            0.0146274036,
            0.0138978539,
            0.0148399491,
            0.0162990484,
            0.0177581478,
            0.0192172471,
            0.0206763465,
            0.022135444,
            0.0235945433,
            0.0250536427,
            0.026512742,
            0.0279718414,
            0.0294309407,
            0.0308900401,
            0.0323491395,
            0.0338082388,
            0.0352673382,
            0.0367264375,
            0.0377202332,
            0.0384497829,
            0.0391793326,
            0.0399088822,
            0.0406384319,
            0.0413679816,
            0.0420975313,
            0.0428270809,
            0.0435566306,
            0.0442861803,
            0.04501573,
            0.0457452796,
            0.0464748293,
            0.0472043753,
            0.0479339287,
            0.0486634746,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0493011139,
            0.0500306636,
            0.0507602133,
            0.051489763,
            0.0522193126,
            0.0529488623,
            0.053678412,
            0.0544079617,
            0.0551375113,
            0.055867061,
            0.0565966107,
            0.0573261604,
            0.05805571,
            0.0587852597,
            0.0595148094,
            0.0602443591,
            0.0614162348,
            0.0638480633,
            0.0662798956,
            0.0687117279,
            0.0711435601,
            0.0735753924,
            0.0760072246,
            0.0784390569,
            0.0808708891,
            0.0833027214,
            0.0857345536,
            0.0881663859,
            0.0905982181,
            0.0930300504,
            0.0954618752,
            0.0978937149,
            0.100195333,
            0.101654433,
            0.103113532,
            0.104572631,
            0.106031731,
            0.10749083,
            0.108949929,
            0.110409029,
            0.111868128,
            0.113327228,
            0.114786327,
            0.116245426,
            0.117704526,
            0.119163625,
            0.120622724,
            0.122081824,
            0.123537093,
            0.124509826,
            0.125482559,
            0.126455292,
            0.127428025,
            0.128400758,
            0.129373491,
            0.130346224,
            0.131318957,
            0.13229169,
            0.133264422,
            0.134237155,
            0.135209888,
            0.136182621,
            0.137155354,
            0.138128087,
            0.13910082,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139767185,
            0.140496731,
            0.141226277,
            0.141955823,
            0.142685384,
            0.14341493,
            0.144144475,
            0.144874021,
            0.145603567,
            0.146333128,
            0.147062674,
            0.14779222,
            0.148521781,
            0.149251327,
            0.149980873,
            0.150710419,
            0.15143998,
            0.152169526,
            0.152899086,
            0.153628632,
            0.154358193,
            0.155087739,
            0.1558173,
            0.156546846,
            0.157276407,
            0.158005953,
            0.158735514,
            0.15946506,
            0.160194606,
            0.160924166,
            0.161653727,
            0.162383273,
            0.163112819,
            0.163842365,
            0.164571911,
            0.165301457,
            0.166031003,
            0.166760549,
            0.167490095,
            0.168219641,
            0.168949187,
            0.169678733,
            0.170408279,
            0.171137825,
            0.171867371,
            0.172596917,
            0.173326463,
            0.174056008,
            0.174234092,
            0.173504546,
            0.172775,
            0.172045454,
            0.171315908,
            0.170586362,
            0.169856817,
            0.169127271,
            0.168397725,
            0.167668179,
            0.166938633,
            0.166209087,
            0.165479541,
            0.164749995,
            0.164020449,
            0.163290903,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178
          ],
          [
            0.162745178,
            0.163474724,
            0.16420427,
            0.164933816,
            0.165663362,
            0.166392908,
            0.167122453,
            0.167851999,
            0.168581545,
            0.169311091,
            0.170040637,
            0.170770183,
            0.171499729,
            0.172229275,
            0.172958821,
            0.173688367,
            0.174417913,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174056008,
            0.173326463,
            0.172596917,
            0.171867371,
            0.171137825,
            0.170408279,
            0.169678733,
            0.168949187,
            0.168219641,
            0.167490095,
            0.166760549,
            0.166031003,
            0.165301457,
            0.164571911,
            0.163842365,
            0.163112819,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163377061,
            0.164106607,
            0.164836153,
            0.165565699,
            0.166295245,
            0.167024791,
            0.167754337,
            0.168483883,
            0.169213429,
            0.169942975,
            0.170672521,
            0.171402067,
            0.172131613,
            0.172861159,
            0.173590705,
            0.174320251,
            0.175049812,
            0.175779358,
            0.176508904,
            0.177238449,
            0.17796801,
            0.178697556,
            0.179427102,
            0.180156648,
            0.180886209,
            0.181615755,
            0.182345301,
            0.183074847,
            0.183804393,
            0.184533954,
            0.1852635,
            0.185993046,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186626852,
            0.187599599,
            0.188572332,
            0.189545065,
            0.190517798,
            0.191490546,
            0.192463279,
            0.193436012,
            0.194408745,
            0.195381492,
            0.196354225,
            0.197326958,
            0.198299691,
            0.199272439,
            0.200245172,
            0.201217905,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201853633,
            0.2008809,
            0.199908152,
            0.198935419,
            0.197962686,
            0.196989954,
            0.196017206,
            0.195044473,
            0.19407174,
            0.193099007,
            0.192126259,
            0.191153526,
            0.190180793,
            0.189208061,
            0.188235313,
            0.18726258,
            0.186289847,
            0.185556471,
            0.184826925,
            0.184097365,
            0.183367819,
            0.182638273,
            0.181908727,
            0.181179166,
            0.18044962,
            0.179720074,
            0.178990528,
            0.178260967,
            0.177531421,
            0.176801875,
            0.176072329,
            0.175342768,
            0.174613222,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174768329,
            0.175497875,
            0.176227421,
            0.176956981,
            0.177686527,
            0.178416073,
            0.179145619,
            0.179875165,
            0.180604726,
            0.181334272,
            0.182063818,
            0.182793364,
            0.183522925,
            0.184252471,
            0.184982017,
            0.185711563,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185562208,
            0.184832662,
            0.184103116,
            0.18337357,
            0.18264401,
            0.181914464,
            0.181184918,
            0.180455372,
            0.179725811,
            0.178996265,
            0.178266719,
            0.177537173,
            0.176807612,
            0.176078066,
            0.17534852,
            0.174618974,
            0.173889428,
            0.173159882,
            0.172430336,
            0.171700791,
            0.170971245,
            0.170241699,
            0.169512153,
            0.168782607,
            0.168053061,
            0.167323515,
            0.166593969,
            0.165864423,
            0.165134877,
            0.164405331,
            0.163675785,
            0.162946239,
            0.162216678,
            0.161487132,
            0.160757571,
            0.160028026,
            0.159298465,
            0.158568919,
            0.157839358,
            0.157109812,
            0.156380251,
            0.155650705,
            0.154921144,
            0.154191598,
            0.153462037,
            0.152732491,
            0.152002931,
            0.151273385,
            0.150543839,
            0.149814278,
            0.149084732,
            0.148355186,
            0.14762564,
            0.146896079,
            0.146166533,
            0.145436987,
            0.144707441,
            0.14397788,
            0.143248335,
            0.142518789,
            0.141789243,
            0.141059682,
            0.140330136,
            0.13960059,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139830366,
            0.140559912,
            0.141289473,
            0.142019019,
            0.142748564,
            0.14347811,
            0.144207671,
            0.144937217,
            0.145666763,
            0.146396309,
            0.14712587,
            0.147855416,
            0.148584962,
            0.149314508,
            0.150044069,
            0.150773615,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150549576,
            0.14982003,
            0.149090484,
            0.148360923,
            0.147631377,
            0.146901831,
            0.146172285,
            0.145442724,
            0.144713178,
            0.143983632,
            0.143254086,
            0.142524526,
            0.14179498,
            0.141065434,
            0.140335888,
            0.139606327,
            0.138424888,
            0.136722594,
            0.135020316,
            0.133318037,
            0.131615758,
            0.129913479,
            0.128211185,
            0.126508906,
            0.124806628,
            0.123104341,
            0.121402062,
            0.119699776,
            0.117997497,
            0.116295211,
            0.114592932,
            0.112890646,
            0.111270703,
            0.109811604,
            0.108352505,
            0.106893405,
            0.105434306,
            0.103975207,
            0.102516107,
            0.101057008,
            0.0995979086,
            0.0981388092,
            0.0966797099,
            0.0952206105,
            0.0937615111,
            0.0923024118,
            0.0908433124,
            0.0893842131,
            0.0878734142,
            0.0861711353,
            0.084468849,
            0.0827665702,
            0.0810642838,
            0.079362005,
            0.0776597187,
            0.0759574398,
            0.0742551535,
            0.0725528747,
            0.0708505958,
            0.0691483095,
            0.0674460232,
            0.0657437444,
            0.0640414655,
            0.0623391792,
            0.0607211515,
            0.0599916019,
            0.0592620522,
            0.0585325025,
            0.0578029528,
            0.0570734031,
            0.0563438535,
            0.0556143038,
            0.0548847541,
            0.0541552044,
            0.0534256548,
            0.0526961051,
            0.0519665554,
            0.0512370057,
            0.0505074561,
            0.0497779064,
            0.0490483567,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0478018038,
            0.0463427044,
            0.0448836051,
            0.0434245057,
            0.0419654064,
            0.040506307,
            0.0390472077,
            0.0375881083,
            0.0361290127,
            0.0346699134,
            0.033210814,
            0.0317517146,
            0.0302926134,
            0.0288335141,
            0.0273744147,
            0.0259153154,
            0.0249732211,
            0.0242436714,
            0.0235141218,
            0.0227845721,
            0.0220550224,
            0.0213254727,
            0.0205959231,
            0.0198663734,
            0.0191368237,
            0.018407274,
            0.0176777244,
            0.0169481747,
            0.016218625,
            0.0154890763,
            0.0147595266,
            0.0140299769,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0133923395,
            0.0126627898,
            0.0119332401,
            0.0112036904,
            0.0104741408,
            0.00974459108,
            0.0090150414,
            0.00828549173,
            0.00755594252,
            0.00682639284,
            0.00609684316,
            0.00536729395,
            0.00463774428,
            0.0039081946,
            0.00317864493,
            0.00244909525,
            0.00139785442,
            -0.000304427929,
            -0.00200671051,
            -0.00370899262,
            -0.0054112752,
            -0.00711355731,
            -0.00881583989,
            -0.0105181225,
            -0.0122204041,
            -0.0139226876,
            -0.0156249702,
            -0.0173272509,
            -0.0190295335,
            -0.0207318161,
            -0.0224340986,
            -0.0241363812,
            -0.0257888772,
            -0.0272479765,
            -0.0287070759,
            -0.0301661752,
            -0.0316252746,
            -0.0330843739,
            -0.0345434733,
            -0.0360025726,
            -0.037461672,
            -0.0389207713,
            -0.0403798707,
            -0.0418389663,
            -0.0432980657,
            -0.044757165,
            -0.0462162644,
            -0.0476753637,
            -0.0490770191,
            -0.0498065688,
            -0.0505361184,
            -0.0512656681,
            -0.0519952178,
            -0.0527247675,
            -0.0534543172,
            -0.0541838668,
            -0.0549134165,
            -0.0556429662,
            -0.0563725159,
            -0.0571020655,
            -0.0578316152,
            -0.0585611649,
            -0.0592907146,
            -0.0600202642,
            -0.0607498139,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0601811111,
            -0.0594515614,
            -0.0587220117,
            -0.0579924621,
            -0.0572629124,
            -0.0565333627,
            -0.055803813,
            -0.0550742634,
            -0.0543447137,
            -0.053615164,
            -0.0528856143,
            -0.0521560647,
            -0.051426515,
            -0.0506969653,
            -0.0499674156,
            -0.049237866,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0494389236,
            -0.0501684733,
            -0.0508980229,
            -0.0516275726,
            -0.0523571223,
            -0.053086672,
            -0.0538162217,
            -0.0545457676,
            -0.055275321,
            -0.056004867,
            -0.0567344204,
            -0.0574639663,
            -0.0581935197,
            -0.0589230657,
            -0.0596526191,
            -0.060382165,
            -0.0615482964,
            -0.0632505789,
            -0.0649528652,
            -0.0666551441,
            -0.0683574229,
            -0.0700597093,
            -0.0717619881,
            -0.0734642744,
            -0.0751665533,
            -0.0768688396,
            -0.0785711184,
            -0.0802734047,
            -0.0819756836,
            -0.0836779699,
            -0.0853802487,
            -0.087082535,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882869586,
            -0.089016512,
            -0.089746058,
            -0.0904756114,
            -0.0912051573,
            -0.0919347107,
            -0.0926642567,
            -0.0933938026,
            -0.094123356,
            -0.0948529094,
            -0.0955824554,
            -0.0963120013,
            -0.0970415547,
            -0.0977711082,
            -0.0985006541,
            -0.0992302001,
            -0.0999597535,
            -0.100689299,
            -0.101418845,
            -0.102148399,
            -0.102877945,
            -0.103607491,
            -0.104337037,
            -0.10506659,
            -0.105796136,
            -0.106525682,
            -0.107255228,
            -0.107984781,
            -0.108714327,
            -0.109443873,
            -0.110173419,
            -0.110902965,
            -0.111632518,
            -0.112362064,
            -0.113091618,
            -0.113821171,
            -0.114550725,
            -0.115280271,
            -0.116009824,
            -0.116739377,
            -0.117468931,
            -0.118198477,
            -0.11892803,
            -0.119657584,
            -0.120387137,
            -0.121116683,
            -0.121846236,
            -0.12257579,
            -0.123305336,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.12383575,
            -0.124808483,
            -0.125781223,
            -0.126753956,
            -0.127726689,
            -0.128699422,
            -0.129672155,
            -0.130644888,
            -0.131617621,
            -0.132590353,
            -0.133563101,
            -0.134535834,
            -0.135508567,
            -0.1364813,
            -0.137454033,
            -0.138426766,
            -0.139353544,
            -0.140083089,
            -0.14081265,
            -0.141542196,
            -0.142271742,
            -0.143001288,
            -0.143730849,
            -0.144460395,
            -0.145189941,
            -0.145919487,
            -0.146649048,
            -0.147378594,
            -0.14810814,
            -0.148837686,
            -0.149567246,
            -0.150296792,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150296792,
            -0.149567246,
            -0.148837686,
            -0.14810814,
            -0.147378594,
            -0.146649048,
            -0.145919487,
            -0.145189941,
            -0.144460395,
            -0.143730849,
            -0.143001288,
            -0.142271742,
            -0.141542196,
            -0.14081265,
            -0.140083089,
            -0.139353544,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139623538,
            -0.140353084,
            -0.14108263,
            -0.14181219,
            -0.142541736,
            -0.143271282,
            -0.144000828,
            -0.144730389,
            -0.145459935,
            -0.146189481,
            -0.146919027,
            -0.147648588,
            -0.148378134,
            -0.14910768,
            -0.149837226,
            -0.150566787,
            -0.151296332,
            -0.152025878,
            -0.152755424,
            -0.153484985,
            -0.154214531,
            -0.154944077,
            -0.155673623,
            -0.156403184,
            -0.15713273,
            -0.157862276,
            -0.158591822,
            -0.159321368,
            -0.160050929,
            -0.160780475,
            -0.16151002,
            -0.162239581,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162067235,
            -0.161337689,
            -0.160608143,
            -0.159878597,
            -0.159149036,
            -0.15841949,
            -0.157689944,
            -0.156960398,
            -0.156230837,
            -0.155501291,
            -0.154771745,
            -0.154042199,
            -0.153312638,
            -0.152583092,
            -0.151853547,
            -0.151124001,
            -0.15039444,
            -0.149664894,
            -0.148935348,
            -0.148205802,
            -0.147476241,
            -0.146746695,
            -0.146017149,
            -0.145287603,
            -0.144558042,
            -0.143828496,
            -0.14309895,
            -0.142369404,
            -0.141639858,
            -0.140910298,
            -0.140180752,
            -0.139451206,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139525875,
            -0.140255436,
            -0.140984982,
            -0.141714528,
            -0.142444074,
            -0.143173635,
            -0.143903181,
            -0.144632727,
            -0.145362273,
            -0.146091819,
            -0.14682138,
            -0.147550926,
            -0.148280472,
            -0.149010032,
            -0.149739578,
            -0.150469124,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150308281,
            -0.149578735,
            -0.148849174,
            -0.148119628,
            -0.147390082,
            -0.146660537,
            -0.145930976,
            -0.14520143,
            -0.144471884,
            -0.143742338,
            -0.143012777,
            -0.142283231,
            -0.141553685,
            -0.140824139,
            -0.140094578,
            -0.139365032,
            -0.138442084,
            -0.137469351,
            -0.136496618,
            -0.135523885,
            -0.134551153,
            -0.13357842,
            -0.132605672,
            -0.131632939,
            -0.130660206,
            -0.129687473,
            -0.12871474,
            -0.127742007,
            -0.126769274,
            -0.125796542,
            -0.124823801,
            -0.123851068,
            -0.122552812,
            -0.121093713,
            -0.119634613,
            -0.118175514,
            -0.116716415,
            -0.115257315,
            -0.113798216,
            -0.112339117,
            -0.110880017,
            -0.109420918,
            -0.107961819,
            -0.106502719,
            -0.10504362,
            -0.103584521,
            -0.102125421,
            -0.100666322,
            -0.0996035933,
            -0.0988740474,
            -0.098144494,
            -0.097414948,
            -0.0966853946,
            -0.0959558487,
            -0.0952262953,
            -0.0944967493,
            -0.0937671959,
            -0.09303765,
            -0.0923080966,
            -0.0915785506,
            -0.0908489972,
            -0.0901194513,
            -0.0893898979,
            -0.0886603519,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0881146267,
            -0.0873850733,
            -0.0866555274,
            -0.085925974,
            -0.085196428,
            -0.0844668746,
            -0.0837373286,
            -0.0830077752,
            -0.0822782293,
            -0.0815486759,
            -0.0808191299,
            -0.0800895765,
            -0.0793600306,
            -0.0786304772,
            -0.0779009312,
            -0.0771713778,
            -0.0764322579,
            -0.075459525,
            -0.0744867921,
            -0.0735140592,
            -0.0725413263,
            -0.0715685934,
            -0.0705958605,
            -0.0696231276,
            -0.0686503947,
            -0.0676776618,
            -0.0667049289,
            -0.065732196,
            -0.0647594631,
            -0.0637867302,
            -0.0628139973,
            -0.0618412644,
            -0.0608685315,
            -0.0594515614,
            -0.0579924621,
            -0.0565333627,
            -0.0550742634,
            -0.053615164,
            -0.0521560647,
            -0.0506969653,
            -0.049237866,
            -0.0477787666,
            -0.0463196672,
            -0.0448605679,
            -0.0434014685,
            -0.0419423692,
            -0.0404832698,
            -0.0390241705,
            -0.0375650749,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0367723331,
            -0.0360427834,
            -0.0353132337,
            -0.0345836841,
            -0.0338541344,
            -0.0331245847,
            -0.032395035,
            -0.0316654854,
            -0.0309359357,
            -0.030206386,
            -0.0294768363,
            -0.0287472866,
            -0.028017737,
            -0.0272881873,
            -0.0265586376,
            -0.0258290898,
            -0.0250995401,
            -0.0243699905,
            -0.0236404408,
            -0.0229108911,
            -0.0221813414,
            -0.0214517917,
            -0.0207222421,
            -0.0199926924,
            -0.0192631427,
            -0.018533593,
            -0.0178040434,
            -0.0170744956,
            -0.0163449459,
            -0.0156153953,
            -0.0148858456,
            -0.0141562959,
            -0.0130284624,
            -0.0113261798,
            -0.00962389726,
            -0.00792161562,
            -0.00621933257,
            -0.00451705046,
            -0.00281476788,
            -0.0011124853,
            0.000589797273,
            0.00229207985,
            0.00399436243,
            0.00569664314,
            0.00739892572,
            0.0091012083,
            0.0108034909,
            0.0125057735,
            0.0141391223,
            0.0155982208,
            0.0170573201,
            0.0185164195,
            0.0199755188,
            0.0214346182,
            0.0228937175,
            0.024352815,
            0.0258119144,
            0.0272710137,
            0.0287301131,
            0.0301892124,
            0.0316483118,
            0.0331074111,
            0.0345665105,
            0.0360256098,
            0.0373698175,
            0.0380993672,
            0.0388289168,
            0.0395584665,
            0.0402880162,
            0.0410175659,
            0.0417471156,
            0.0424766652,
            0.0432062149,
            0.0439357646,
            0.0446653143,
            0.0453948639,
            0.0461244136,
            0.0468539633,
            0.047583513,
            0.0483130626,
            0.0490426123,
            0.049772162,
            0.0505017117,
            0.0512312613,
            0.051960811,
            0.0526903607,
            0.0534199104,
            0.05414946,
            0.0548790097,
            0.0556085594,
            0.0563381091,
            0.0570676588,
            0.0577972084,
            0.0585267581,
            0.0592563078,
            0.0599858575,
            0.0607154071,
            0.0616651624,
            0.0626378953,
            0.0636106282,
            0.0645833611,
            0.0655560941,
            0.066528827,
            0.0675015599,
            0.0684742928,
            0.0694470257,
            0.0704197586,
            0.0713924915,
            0.0723652244,
            0.0733379573,
            0.0743106902,
            0.0752834231,
            0.076256156,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0759574398,
            0.0749847069,
            0.074011974,
            0.0730392411,
            0.0720665082,
            0.0710937753,
            0.0701210424,
            0.0691483095,
            0.0681755766,
            0.0672028437,
            0.0662301108,
            0.0652573779,
            0.064284645,
            0.0633119121,
            0.0623391792,
            0.0613664463,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607671067,
            0.060037557,
            0.0593080074,
            0.0585784577,
            0.057848908,
            0.0571193583,
            0.0563898087,
            0.055660259,
            0.0549307093,
            0.0542011596,
            0.05347161,
            0.0527420603,
            0.0520125106,
            0.0512829609,
            0.0505534112,
            0.0498238616,
            0.0490943119,
            0.0483647622,
            0.0476352125,
            0.0469056629,
            0.0461761132,
            0.0454465635,
            0.0447170138,
            0.0439874679,
            0.0432579145,
            0.0425283685,
            0.0417988151,
            0.0410692692,
            0.0403397158,
            0.0396101698,
            0.0388806202,
            0.0381510705,
            0.0374215208,
            0.0366919711,
            0.0359624214,
            0.0352328718,
            0.0345033221,
            0.0337737724,
            0.0330442227,
            0.0323146731,
            0.0315851234,
            0.0308555737,
            0.030126024,
            0.0293964744,
            0.0286669247,
            0.027937375,
            0.0272078253,
            0.0264782757,
            0.025748726,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0256855376,
            0.0264150873,
            0.027144637,
            0.0278741866,
            0.0286037344,
            0.0293332841,
            0.0300628338,
            0.0307923835,
            0.031521935,
            0.0322514847,
            0.0329810306,
            0.033710584,
            0.03444013,
            0.0351696834,
            0.0358992293,
            0.0366287827,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372434407,
            0.0365138911,
            0.0357843414,
            0.0350547917,
            0.034325242,
            0.0335956924,
            0.0328661427,
            0.032136593,
            0.0314070433,
            0.0306774937,
            0.029947944,
            0.0292183943,
            0.0284888446,
            0.027759295,
            0.0270297453,
            0.0263001956,
            0.0255706459,
            0.0248410981,
            0.0241115484,
            0.0233819988,
            0.0226524491,
            0.0219228994,
            0.0211933497,
            0.0204638001,
            0.0197342504,
            0.0190047007,
            0.018275151,
            0.0175456014,
            0.0168160517,
            0.0160865039,
            0.0153569533,
            0.0146274036,
            0.0138978539,
            0.0142827341,
            0.0150122838,
            0.0157418326,
            0.0164713822,
            0.0172009319,
            0.0179304816,
            0.0186600313,
            0.0193895809,
            0.0201191306,
            0.0208486803,
            0.02157823,
            0.0223077796,
            0.0230373293,
            0.023766879,
            0.0244964287,
            0.0252259783,
            0.025955528,
            0.0266850777,
            0.0274146274,
            0.028144177,
            0.0288737267,
            0.0296032764,
            0.0303328261,
            0.0310623758,
            0.0317919254,
            0.0325214751,
            0.0332510248,
            0.0339805745,
            0.0347101241,
            0.0354396701,
            0.0361692235,
            0.0368987694,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0375364088,
            0.0382659584,
            0.0389955081,
            0.0397250578,
            0.0404546075,
            0.0411841571,
            0.0419137068,
            0.0426432565,
            0.0433728062,
            0.0441023558,
            0.0448319055,
            0.0455614552,
            0.0462910049,
            0.0470205545,
            0.0477501042,
            0.0484796539,
            0.0494619608,
            0.0511642434,
            0.0528665259,
            0.0545688085,
            0.0562710911,
            0.05797337,
            0.0596756563,
            0.0613779351,
            0.0630802214,
            0.0647825003,
            0.0664847866,
            0.0681870654,
            0.0698893517,
            0.0715916306,
            0.0732939094,
            0.0749961957,
            0.0767635852,
            0.0789522305,
            0.0811408758,
            0.0833295286,
            0.0855181813,
            0.0877068266,
            0.0898954719,
            0.0920841247,
            0.09427277,
            0.0964614227,
            0.098650068,
            0.100838721,
            0.103027366,
            0.105216019,
            0.107404664,
            0.109593317,
            0.111770473,
            0.112500027,
            0.113229573,
            0.113959119,
            0.114688672,
            0.115418218,
            0.116147771,
            0.116877317,
            0.117606871,
            0.118336417,
            0.11906597,
            0.119795516,
            0.12052507,
            0.121254615,
            0.121984169,
            0.122713715,
            0.123443268,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.124264732,
            0.125237465,
            0.126210198,
            0.127182931,
            0.128155664,
            0.129128397,
            0.130101129,
            0.131073862,
            0.132046595,
            0.133019328,
            0.133992061,
            0.134964794,
            0.135937527,
            0.13691026,
            0.137882993,
            0.138855726,
            0.13967526,
            0.14040482,
            0.141134366,
            0.141863912,
            0.142593458,
            0.143323019,
            0.144052565,
            0.144782111,
            0.145511657,
            0.146241218,
            0.146970764,
            0.14770031,
            0.148429856,
            0.149159417,
            0.149888963,
            0.150618508,
            0.151348054,
            0.152077615,
            0.152807161,
            0.153536722,
            0.154266268,
            0.154995829,
            0.155725375,
            0.156454936,
            0.157184482,
            0.157914042,
            0.158643588,
            0.159373149,
            0.160102695,
            0.160832256,
            0.161561802,
            0.162291363,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178
          ],
          [
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163382813,
            0.164112359,
            0.164841905,
            0.165571451,
            0.166300997,
            0.167030543,
            0.167760089,
            0.168489635,
            0.169219181,
            0.169948727,
            0.170678273,
            0.171407819,
            0.172137365,
            0.172866911,
            0.173596457,
            0.174326003,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174056008,
            0.173326463,
            0.172596917,
            0.171867371,
            0.171137825,
            0.170408279,
            0.169678733,
            0.168949187,
            0.168219641,
            0.167490095,
            0.166760549,
            0.166031003,
            0.165301457,
            0.164571911,
            0.163842365,
            0.163112819,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162475184,
            0.161745638,
            0.161016077,
            0.160286531,
            0.15955697,
            0.158827424,
            0.158097863,
            0.157368317,
            0.156638756,
            0.15590921,
            0.15517965,
            0.154450104,
            0.153720543,
            0.152990997,
            0.152261436,
            0.15153189,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151704222,
            0.152433768,
            0.153163329,
            0.153892875,
            0.154622436,
            0.155351982,
            0.156081542,
            0.156811088,
            0.157540649,
            0.158270195,
            0.158999756,
            0.159729302,
            0.160458863,
            0.161188409,
            0.16191797,
            0.162647516,
            0.163377061,
            0.164106607,
            0.164836153,
            0.165565699,
            0.166295245,
            0.167024791,
            0.167754337,
            0.168483883,
            0.169213429,
            0.169942975,
            0.170672521,
            0.171402067,
            0.172131613,
            0.172861159,
            0.173590705,
            0.174320251,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174337491,
            0.173607945,
            0.172878399,
            0.172148854,
            0.171419308,
            0.170689762,
            0.169960216,
            0.16923067,
            0.168501124,
            0.167771578,
            0.167042032,
            0.166312486,
            0.16558294,
            0.164853394,
            0.164123848,
            0.163394302,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162027121,
            0.16129756,
            0.160568014,
            0.159838453,
            0.159108907,
            0.158379346,
            0.1576498,
            0.156920239,
            0.156190693,
            0.155461133,
            0.154731587,
            0.154002026,
            0.15327248,
            0.152542919,
            0.151813373,
            0.151083812,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151514649,
            0.15224421,
            0.152973756,
            0.153703317,
            0.154432863,
            0.155162424,
            0.15589197,
            0.156621531,
            0.157351077,
            0.158080637,
            0.158810183,
            0.159539744,
            0.16026929,
            0.160998851,
            0.161728397,
            0.162457958,
            0.163187504,
            0.16391705,
            0.164646596,
            0.165376142,
            0.166105688,
            0.166835234,
            0.16756478,
            0.168294325,
            0.169023871,
            0.169753417,
            0.170482963,
            0.171212509,
            0.171942055,
            0.172671601,
            0.173401147,
            0.174130693,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.173889428,
            0.173159882,
            0.172430336,
            0.171700791,
            0.170971245,
            0.170241699,
            0.169512153,
            0.168782607,
            0.168053061,
            0.167323515,
            0.166593969,
            0.165864423,
            0.165134877,
            0.164405331,
            0.163675785,
            0.162946239,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162308589,
            0.161579043,
            0.160849482,
            0.160119936,
            0.159390375,
            0.158660829,
            0.157931268,
            0.157201722,
            0.156472161,
            0.155742615,
            0.155013055,
            0.154283509,
            0.153553963,
            0.152824402,
            0.152094841,
            0.151365295,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151595071,
            0.152324632,
            0.153054178,
            0.153783739,
            0.154513285,
            0.155242845,
            0.155972391,
            0.156701952,
            0.157431498,
            0.158161059,
            0.158890605,
            0.159620166,
            0.160349712,
            0.161079273,
            0.161808819,
            0.162538379,
            0.16222243,
            0.161492869,
            0.160763323,
            0.160033762,
            0.159304217,
            0.158574656,
            0.15784511,
            0.157115549,
            0.156386003,
            0.155656442,
            0.154926896,
            0.154197335,
            0.153467789,
            0.152738228,
            0.152008682,
            0.151279122,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150189593,
            0.1484873,
            0.146785021,
            0.145082742,
            0.143380463,
            0.141678184,
            0.139975891,
            0.138273612,
            0.136571333,
            0.134869054,
            0.13316676,
            0.131464481,
            0.129762203,
            0.128059924,
            0.12635763,
            0.124655351,
            0.123282418,
            0.122552872,
            0.121823326,
            0.121093772,
            0.120364226,
            0.119634673,
            0.118905127,
            0.118175574,
            0.117446028,
            0.116716474,
            0.115986928,
            0.115257375,
            0.114527829,
            0.113798276,
            0.11306873,
            0.112339176,
            0.111454524,
            0.109995425,
            0.108536325,
            0.107077226,
            0.105618127,
            0.104159027,
            0.102699935,
            0.101240829,
            0.0997817367,
            0.0983226374,
            0.096863538,
            0.0954044312,
            0.0939453393,
            0.09248624,
            0.0910271406,
            0.0895680413,
            0.0880878791,
            0.0863855928,
            0.084683314,
            0.0829810277,
            0.0812787488,
            0.0795764625,
            0.0778741837,
            0.0761718974,
            0.0744696185,
            0.0727673322,
            0.0710650533,
            0.0693627745,
            0.0676604882,
            0.0659582019,
            0.064255923,
            0.0625536442,
            0.0608513579,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.059566509,
            0.0581074096,
            0.0566483103,
            0.0551892109,
            0.0537301116,
            0.0522710122,
            0.0508119129,
            0.0493528135,
            0.0478937179,
            0.0464346185,
            0.0449755192,
            0.0435164198,
            0.0420573205,
            0.0405982211,
            0.0391391218,
            0.0376800224,
            0.0367379263,
            0.0360083766,
            0.035278827,
            0.0345492773,
            0.0338197276,
            0.0330901779,
            0.0323606282,
            0.0316310786,
            0.0309015289,
            0.0301719792,
            0.0294424295,
            0.0287128799,
            0.0279833302,
            0.0272537805,
            0.0265242308,
            0.0257946812,
            0.0250651333,
            0.0243355837,
            0.023606034,
            0.0228764843,
            0.0221469346,
            0.021417385,
            0.0206878353,
            0.0199582856,
            0.0192287359,
            0.0184991863,
            0.0177696366,
            0.0170400869,
            0.0163105372,
            0.0155809876,
            0.0148514379,
            0.0141218882,
            0.0133923395,
            0.0126627898,
            0.0119332401,
            0.0112036904,
            0.0104741408,
            0.00974459108,
            0.0090150414,
            0.00828549173,
            0.00755594252,
            0.00682639284,
            0.00609684316,
            0.00536729395,
            0.00463774428,
            0.0039081946,
            0.00317864493,
            0.00244909525,
            0.00163912284,
            0.000666390057,
            -0.000306342728,
            -0.00127907563,
            -0.00225180853,
            -0.00322454097,
            -0.00419727387,
            -0.00517000677,
            -0.00614273921,
            -0.00711547211,
            -0.00808820501,
            -0.00906093791,
            -0.0100336708,
            -0.0110064037,
            -0.0119791366,
            -0.0129518686,
            -0.0140241729,
            -0.0154832723,
            -0.0169423707,
            -0.01840147,
            -0.0198605694,
            -0.0213196687,
            -0.0227787681,
            -0.0242378674,
            -0.0256969668,
            -0.0271560661,
            -0.0286151655,
            -0.030074263,
            -0.0315333605,
            -0.0329924598,
            -0.0344515592,
            -0.0359106585,
            -0.0373123139,
            -0.0380418636,
            -0.0387714133,
            -0.0395009629,
            -0.0402305126,
            -0.0409600623,
            -0.041689612,
            -0.0424191616,
            -0.0431487113,
            -0.043878261,
            -0.0446078107,
            -0.0453373604,
            -0.04606691,
            -0.0467964597,
            -0.0475260094,
            -0.0482555591,
            -0.0489851087,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0484164059,
            -0.0476868562,
            -0.0469573066,
            -0.0462277569,
            -0.0454982072,
            -0.0447686575,
            -0.0440391079,
            -0.0433095582,
            -0.0425800085,
            -0.0418504588,
            -0.0411209092,
            -0.0403913595,
            -0.0396618098,
            -0.0389322601,
            -0.0382027104,
            -0.0374731608,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0376742184,
            -0.0384037681,
            -0.0391333178,
            -0.0398628674,
            -0.0405924171,
            -0.0413219668,
            -0.0420515165,
            -0.0427810624,
            -0.0435106158,
            -0.0442401618,
            -0.0449697152,
            -0.0456992611,
            -0.0464288145,
            -0.0471583605,
            -0.0478879139,
            -0.0486174598,
            -0.0497835912,
            -0.0514858738,
            -0.0531881563,
            -0.0548904389,
            -0.0565927215,
            -0.0582950041,
            -0.0599972866,
            -0.0616995692,
            -0.0634018481,
            -0.0651041344,
            -0.0668064132,
            -0.0685086995,
            -0.0702109784,
            -0.0719132647,
            -0.0736155435,
            -0.0753178298,
            -0.0767060742,
            -0.0774356276,
            -0.0781651735,
            -0.0788947269,
            -0.0796242729,
            -0.0803538263,
            -0.0810833722,
            -0.0818129256,
            -0.0825424716,
            -0.083272025,
            -0.0840015709,
            -0.0847311243,
            -0.0854606703,
            -0.0861902237,
            -0.0869197696,
            -0.087649323,
            -0.088378869,
            -0.0891084224,
            -0.0898379683,
            -0.0905675218,
            -0.0912970677,
            -0.0920266211,
            -0.0927561671,
            -0.0934857205,
            -0.0942152664,
            -0.0949448198,
            -0.0956743658,
            -0.0964039192,
            -0.0971334651,
            -0.0978630185,
            -0.0985925645,
            -0.0993221179,
            -0.100051664,
            -0.10078121,
            -0.101510763,
            -0.102240309,
            -0.102969855,
            -0.103699401,
            -0.104428947,
            -0.1051585,
            -0.105888046,
            -0.106617592,
            -0.107347146,
            -0.108076692,
            -0.108806238,
            -0.109535784,
            -0.110265329,
            -0.110994883,
            -0.111724429,
            -0.112453982,
            -0.113183528,
            -0.113913082,
            -0.114642635,
            -0.115372188,
            -0.116101734,
            -0.116831288,
            -0.117560841,
            -0.118290395,
            -0.11901994,
            -0.119749494,
            -0.120479047,
            -0.121208593,
            -0.121938147,
            -0.1226677,
            -0.123397253,
            -0.124325946,
            -0.125298679,
            -0.126271412,
            -0.127244145,
            -0.128216878,
            -0.12918961,
            -0.130162358,
            -0.131135091,
            -0.132107824,
            -0.133080557,
            -0.13405329,
            -0.135026023,
            -0.135998756,
            -0.136971489,
            -0.137944236,
            -0.138916969,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.138304219,
            -0.137331486,
            -0.136358753,
            -0.13538602,
            -0.134413272,
            -0.133440539,
            -0.132467806,
            -0.131495073,
            -0.130522341,
            -0.129549608,
            -0.128576875,
            -0.127604142,
            -0.126631409,
            -0.125658661,
            -0.124685936,
            -0.123713195,
            -0.124318287,
            -0.12529102,
            -0.126263753,
            -0.127236485,
            -0.128209218,
            -0.129181951,
            -0.130154699,
            -0.131127432,
            -0.132100165,
            -0.133072898,
            -0.134045631,
            -0.135018364,
            -0.135991096,
            -0.136963829,
            -0.137936577,
            -0.13890931,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139623538,
            -0.140353084,
            -0.14108263,
            -0.14181219,
            -0.142541736,
            -0.143271282,
            -0.144000828,
            -0.144730389,
            -0.145459935,
            -0.146189481,
            -0.146919027,
            -0.147648588,
            -0.148378134,
            -0.14910768,
            -0.149837226,
            -0.150566787,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.15039444,
            -0.149664894,
            -0.148935348,
            -0.148205802,
            -0.147476241,
            -0.146746695,
            -0.146017149,
            -0.145287603,
            -0.144558042,
            -0.143828496,
            -0.14309895,
            -0.142369404,
            -0.141639858,
            -0.140910298,
            -0.140180752,
            -0.139451206,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.138679519,
            -0.137706786,
            -0.136734053,
            -0.135761321,
            -0.134788588,
            -0.133815855,
            -0.132843122,
            -0.131870389,
            -0.130897641,
            -0.129924908,
            -0.128952175,
            -0.127979442,
            -0.12700671,
            -0.126033977,
            -0.125061244,
            -0.124088503,
            -0.123942979,
            -0.124915712,
            -0.125888452,
            -0.126861185,
            -0.127833918,
            -0.128806651,
            -0.129779384,
            -0.130752116,
            -0.131724849,
            -0.132697582,
            -0.13367033,
            -0.134643063,
            -0.135615796,
            -0.136588529,
            -0.137561262,
            -0.138533995,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139169723,
            -0.13819699,
            -0.137224257,
            -0.136251524,
            -0.135278776,
            -0.134306043,
            -0.13333331,
            -0.132360578,
            -0.131387845,
            -0.130415112,
            -0.129442379,
            -0.128469646,
            -0.127496913,
            -0.126524165,
            -0.125551432,
            -0.124578699,
            -0.123605967,
            -0.122857265,
            -0.122127719,
            -0.121398166,
            -0.120668612,
            -0.119939059,
            -0.119209513,
            -0.11847996,
            -0.117750406,
            -0.11702086,
            -0.116291307,
            -0.115561754,
            -0.1148322,
            -0.114102654,
            -0.113373101,
            -0.112643547,
            -0.111913994,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111276358,
            -0.110546812,
            -0.109817266,
            -0.109087713,
            -0.108358167,
            -0.107628621,
            -0.106899075,
            -0.106169522,
            -0.105439976,
            -0.10471043,
            -0.103980884,
            -0.103251338,
            -0.102521785,
            -0.101792239,
            -0.101062693,
            -0.100333147,
            -0.0996035933,
            -0.0988740474,
            -0.098144494,
            -0.097414948,
            -0.0966853946,
            -0.0959558487,
            -0.0952262953,
            -0.0944967493,
            -0.0937671959,
            -0.09303765,
            -0.0923080966,
            -0.0915785506,
            -0.0908489972,
            -0.0901194513,
            -0.0893898979,
            -0.0886603519,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0880227163,
            -0.0872931629,
            -0.086563617,
            -0.0858340636,
            -0.0851045176,
            -0.0843749642,
            -0.0836454183,
            -0.0829158649,
            -0.0821863189,
            -0.0814567655,
            -0.0807272196,
            -0.0799976662,
            -0.0792681202,
            -0.0785385668,
            -0.0778090209,
            -0.0770794675,
            -0.0763097107,
            -0.0753369778,
            -0.0743642449,
            -0.073391512,
            -0.0724187791,
            -0.0714460462,
            -0.0704733133,
            -0.0695005804,
            -0.0685278475,
            -0.0675551146,
            -0.0665823817,
            -0.0656096488,
            -0.0646369159,
            -0.063664183,
            -0.0626914501,
            -0.0617187172,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0594515614,
            -0.0579924621,
            -0.0565333627,
            -0.0550742634,
            -0.053615164,
            -0.0521560647,
            -0.0506969653,
            -0.049237866,
            -0.0477787666,
            -0.0463196672,
            -0.0448605679,
            -0.0434014685,
            -0.0419423692,
            -0.0404832698,
            -0.0390241705,
            -0.0375650749,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0362897962,
            -0.0348306969,
            -0.0333715975,
            -0.0319124982,
            -0.0304533988,
            -0.0289942995,
            -0.0275352001,
            -0.0260761026,
            -0.0246170033,
            -0.0231579039,
            -0.0216988046,
            -0.0202397052,
            -0.0187806059,
            -0.0173215065,
            -0.0158624072,
            -0.0144033097,
            -0.0132046267,
            -0.0122318938,
            -0.0112591609,
            -0.010286428,
            -0.00931369513,
            -0.00834096223,
            -0.00736822933,
            -0.00639549689,
            -0.00542276353,
            -0.00445003156,
            -0.00347729865,
            -0.00250456575,
            -0.00153183285,
            -0.00055909995,
            0.000413632952,
            0.00138636585,
            0.00225952733,
            0.00298907678,
            0.00371862645,
            0.0044481759,
            0.00517772557,
            0.00590727525,
            0.00663682492,
            0.00736637414,
            0.00809592381,
            0.00882547349,
            0.00955502316,
            0.0102845728,
            0.0110141225,
            0.0117436722,
            0.0124732219,
            0.0132027706,
            0.0139323203,
            0.01466187,
            0.0153914196,
            0.0161209702,
            0.0168505199,
            0.0175800696,
            0.0183096193,
            0.0190391671,
            0.0197687168,
            0.0204982664,
            0.0212278161,
            0.0219573658,
            0.0226869155,
            0.0234164651,
            0.0241460148,
            0.0248755645,
            0.0256051142,
            0.0263346639,
            0.0270642135,
            0.0277937632,
            0.0285233129,
            0.0292528626,
            0.0299824122,
            0.03071196,
            0.0314415097,
            0.0321710594,
            0.0329006091,
            0.0336301588,
            0.0343597084,
            0.0350892581,
            0.0358188078,
            0.0365483575,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0379155464,
            0.0386450961,
            0.0393746458,
            0.0401041955,
            0.0408337452,
            0.0415632948,
            0.0422928408,
            0.0430223942,
            0.0437519401,
            0.0444814935,
            0.0452110395,
            0.0459405929,
            0.0466701388,
            0.0473996922,
            0.0481292382,
            0.0488587879,
            0.0495883375,
            0.0503178872,
            0.0510474369,
            0.0517769866,
            0.0525065362,
            0.0532360859,
            0.0539656356,
            0.0546951853,
            0.055424735,
            0.0561542846,
            0.0568838343,
            0.057613384,
            0.0583429337,
            0.0590724833,
            0.059802033,
            0.0605315827,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0603994578,
            0.0596699081,
            0.0589403585,
            0.0582108125,
            0.0574812591,
            0.0567517132,
            0.0560221635,
            0.0552926138,
            0.0545630641,
            0.0538335145,
            0.0531039648,
            0.0523744151,
            0.0516448654,
            0.0509153157,
            0.0501857661,
            0.0494562164,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490024015,
            0.0482728519,
            0.0475433022,
            0.0468137525,
            0.0460842028,
            0.0453546531,
            0.0446251035,
            0.0438955538,
            0.0431660041,
            0.0424364544,
            0.0417069048,
            0.0409773551,
            0.0402478054,
            0.0395182557,
            0.0387887061,
            0.0380591564,
            0.0373296067,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0374502428,
            0.0381797925,
            0.0389093421,
            0.0396388918,
            0.0403684415,
            0.0410979912,
            0.0418275408,
            0.0425570905,
            0.0432866402,
            0.0440161899,
            0.0447457358,
            0.0454752892,
            0.0462048352,
            0.0469343886,
            0.0476639345,
            0.0483934879,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0489966571,
            0.0475375578,
            0.0460784584,
            0.0446193591,
            0.0431602597,
            0.0417011604,
            0.040242061,
            0.0387829617,
            0.0373238623,
            0.035864763,
            0.0344056636,
            0.0329465643,
            0.0314874649,
            0.0300283674,
            0.0285692681,
            0.0271101687,
            0.0256510694,
            0.0248410981,
            0.0241115484,
            0.0233819988,
            0.0226524491,
            0.0219228994,
            0.0211933497,
            0.0204638001,
            0.0197342504,
            0.0190047007,
            0.018275151,
            0.0175456014,
            0.0168160517,
            0.0160865039,
            0.0153569533,
            0.0146274036,
            0.0138978539,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0141908228,
            0.0149203725,
            0.0156499222,
            0.0163794719,
            0.0171090215,
            0.0178385712,
            0.0185681209,
            0.0192976706,
            0.0200272202,
            0.0207567699,
            0.0214863177,
            0.0222158693,
            0.0229454171,
            0.0236749668,
            0.0244045164,
            0.0251340661,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0260531846,
            0.0275122821,
            0.0289713815,
            0.0304304808,
            0.0318895802,
            0.0333486795,
            0.0348077789,
            0.0362668782,
            0.0377259776,
            0.039185077,
            0.0406441763,
            0.0421032757,
            0.043562375,
            0.0450214744,
            0.0464805737,
            0.0479396731,
            0.0494619608,
            0.0511642434,
            0.0528665259,
            0.0545688085,
            0.0562710911,
            0.05797337,
            0.0596756563,
            0.0613779351,
            0.0630802214,
            0.0647825003,
            0.0664847866,
            0.0681870654,
            0.0698893517,
            0.0715916306,
            0.0732939094,
            0.0749961957,
            0.076665923,
            0.0781250224,
            0.0795841217,
            0.0810432211,
            0.0825023204,
            0.0839614198,
            0.0854205191,
            0.0868796185,
            0.0883387178,
            0.0897978172,
            0.0912569165,
            0.0927160159,
            0.0941751152,
            0.0956342146,
            0.0970933139,
            0.0985524133,
            0.100005768,
            0.100735322,
            0.101464868,
            0.102194414,
            0.102923967,
            0.103653513,
            0.104383066,
            0.105112612,
            0.105842166,
            0.106571712,
            0.107301265,
            0.108030811,
            0.108760364,
            0.10948991,
            0.110219464,
            0.11094901,
            0.111678563,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.112316199,
            0.113045752,
            0.113775298,
            0.114504851,
            0.115234397,
            0.115963951,
            0.116693497,
            0.11742305,
            0.118152596,
            0.118882149,
            0.119611695,
            0.120341241,
            0.121070795,
            0.121800348,
            0.122529894,
            0.12325944,
            0.124142177,
            0.125114918,
            0.126087651,
            0.127060384,
            0.128033116,
            0.129005849,
            0.129978582,
            0.130951315,
            0.131924048,
            0.132896781,
            0.133869514,
            0.134842247,
            0.135814965,
            0.136787713,
            0.137760431,
            0.138733178,
            0.139583349,
            0.14031291,
            0.141042456,
            0.141772002,
            0.142501548,
            0.143231109,
            0.143960655,
            0.144690201,
            0.145419747,
            0.146149307,
            0.146878853,
            0.147608399,
            0.148337945,
            0.149067506,
            0.149797052,
            0.150526598,
            0.151256144,
            0.151985705,
            0.152715251,
            0.153444812,
            0.154174358,
            0.154903919,
            0.155633464,
            0.156363025,
            0.157092571,
            0.157822132,
            0.158551678,
            0.159281239,
            0.160010785,
            0.160740346,
            0.161469892,
            0.162199453,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178
          ],
          [
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151618049,
            0.152347609,
            0.153077155,
            0.153806716,
            0.154536262,
            0.155265823,
            0.155995369,
            0.15672493,
            0.157454476,
            0.158184037,
            0.158913583,
            0.159643143,
            0.160372689,
            0.16110225,
            0.161831796,
            0.162561357,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162383273,
            0.161653727,
            0.160924166,
            0.16019462,
            0.15946506,
            0.158735514,
            0.158005953,
            0.157276407,
            0.156546846,
            0.1558173,
            0.155087739,
            0.154358193,
            0.153628632,
            0.152899086,
            0.152169526,
            0.15143998,
            0.150710419,
            0.149980873,
            0.149251327,
            0.148521781,
            0.14779222,
            0.147062674,
            0.146333128,
            0.145603567,
            0.144874021,
            0.144144475,
            0.14341493,
            0.142685384,
            0.141955823,
            0.141226277,
            0.140496731,
            0.139767185,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139939517,
            0.140669063,
            0.141398609,
            0.142128155,
            0.142857715,
            0.143587261,
            0.144316807,
            0.145046353,
            0.145775914,
            0.14650546,
            0.147235006,
            0.147964552,
            0.148694113,
            0.149423659,
            0.150153205,
            0.150882751,
            0.151612312,
            0.152341858,
            0.153071418,
            0.153800964,
            0.154530525,
            0.155260071,
            0.155989632,
            0.156719178,
            0.157448739,
            0.158178285,
            0.158907846,
            0.159637392,
            0.160366952,
            0.161096498,
            0.161826059,
            0.162555605,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162389025,
            0.161659464,
            0.160929918,
            0.160200357,
            0.159470811,
            0.158741251,
            0.158011705,
            0.157282144,
            0.156552598,
            0.155823037,
            0.155093491,
            0.15436393,
            0.153634384,
            0.152904823,
            0.152175277,
            0.151445717,
            0.150716171,
            0.14998661,
            0.149257064,
            0.148527518,
            0.147797972,
            0.147068411,
            0.146338865,
            0.145609319,
            0.144879773,
            0.144150227,
            0.143420666,
            0.142691121,
            0.141961575,
            0.141232029,
            0.140502468,
            0.139772922,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139749944,
            0.14047949,
            0.141209051,
            0.141938597,
            0.142668143,
            0.143397689,
            0.14412725,
            0.144856796,
            0.145586342,
            0.146315888,
            0.147045434,
            0.147774994,
            0.14850454,
            0.149234086,
            0.149963632,
            0.150693193,
            0.151422739,
            0.1521523,
            0.152881846,
            0.153611407,
            0.154340953,
            0.155070513,
            0.155800059,
            0.15652962,
            0.157259166,
            0.157988727,
            0.158718273,
            0.159447819,
            0.16017738,
            0.160906941,
            0.161636487,
            0.162366033,
            0.163095593,
            0.163825139,
            0.164554685,
            0.165284231,
            0.166013777,
            0.166743323,
            0.167472869,
            0.168202415,
            0.168931961,
            0.169661507,
            0.170391053,
            0.171120599,
            0.171850145,
            0.172579691,
            0.173309237,
            0.174038783,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174343228,
            0.173613682,
            0.172884136,
            0.17215459,
            0.171425045,
            0.170695499,
            0.169965953,
            0.169236407,
            0.168506861,
            0.167777315,
            0.167047769,
            0.166318223,
            0.165588677,
            0.164859131,
            0.164129585,
            0.163400039,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163457483,
            0.164187029,
            0.164916575,
            0.165646121,
            0.166375667,
            0.167105213,
            0.167834759,
            0.168564305,
            0.169293851,
            0.170023397,
            0.170752943,
            0.171482489,
            0.172212034,
            0.17294158,
            0.173671126,
            0.174400672,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174073249,
            0.173343703,
            0.172614157,
            0.171884611,
            0.171155065,
            0.170425519,
            0.169695973,
            0.168966427,
            0.168236881,
            0.167507336,
            0.16677779,
            0.166048244,
            0.165318698,
            0.164589152,
            0.163859606,
            0.16313006,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.16222243,
            0.161492869,
            0.160763323,
            0.160033762,
            0.159304217,
            0.158574656,
            0.15784511,
            0.157115549,
            0.156386003,
            0.155656442,
            0.154926896,
            0.154197335,
            0.153467789,
            0.152738228,
            0.152008682,
            0.151279122,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150641486,
            0.14991194,
            0.149182394,
            0.148452833,
            0.147723287,
            0.146993741,
            0.146264195,
            0.145534635,
            0.144805089,
            0.144075543,
            0.143345997,
            0.142616451,
            0.14188689,
            0.141157344,
            0.140427798,
            0.139698237,
            0.138886362,
            0.137913629,
            0.136940897,
            0.135968164,
            0.134995431,
            0.134022698,
            0.133049965,
            0.132077232,
            0.131104499,
            0.130131766,
            0.129159033,
            0.1281863,
            0.127213567,
            0.126240835,
            0.125268102,
            0.124295369,
            0.123374335,
            0.122644782,
            0.121915236,
            0.121185683,
            0.120456137,
            0.119726583,
            0.118997037,
            0.118267484,
            0.117537938,
            0.116808385,
            0.116078839,
            0.115349285,
            0.114619739,
            0.113890186,
            0.11316064,
            0.112431087,
            0.111638352,
            0.110179253,
            0.108720154,
            0.107261054,
            0.105801955,
            0.104342856,
            0.102883756,
            0.101424657,
            0.0999655575,
            0.0985064581,
            0.0970473588,
            0.0955882594,
            0.09412916,
            0.0926700607,
            0.0912109613,
            0.089751862,
            0.0882927626,
            0.0875344947,
            0.0868049413,
            0.0860753953,
            0.0853458419,
            0.084616296,
            0.0838867426,
            0.0831571966,
            0.0824276432,
            0.0816980973,
            0.0809685439,
            0.0802389979,
            0.0795094445,
            0.0787798986,
            0.0780503452,
            0.0773207992,
            0.0765912458,
            0.0756587237,
            0.0746859908,
            0.0737132579,
            0.072740525,
            0.0717677921,
            0.0707950592,
            0.0698223263,
            0.0688495934,
            0.0678768605,
            0.0669041276,
            0.0659313947,
            0.0649586618,
            0.0639859289,
            0.063013196,
            0.0620404668,
            0.0610677339,
            0.0602673367,
            0.059537787,
            0.0588082373,
            0.0580786876,
            0.057349138,
            0.0566195883,
            0.0558900386,
            0.0551604889,
            0.0544309393,
            0.0537013896,
            0.0529718399,
            0.0522422902,
            0.0515127406,
            0.0507831909,
            0.0500536412,
            0.0493240915,
            0.0481694527,
            0.0467103533,
            0.045251254,
            0.0437921546,
            0.0423330553,
            0.0408739559,
            0.0394148566,
            0.0379557572,
            0.0364966579,
            0.0350375585,
            0.0335784592,
            0.0321193598,
            0.0306602605,
            0.0292011611,
            0.0277420618,
            0.0262829624,
            0.0251570437,
            0.024427494,
            0.0236979444,
            0.0229683947,
            0.0222388469,
            0.0215092972,
            0.0207797475,
            0.0200501978,
            0.0193206482,
            0.0185910985,
            0.0178615488,
            0.0171319991,
            0.0164024495,
            0.0156728998,
            0.0149433501,
            0.0142138004,
            0.0134842508,
            0.0127547011,
            0.0120251514,
            0.0112956017,
            0.010566052,
            0.00983650237,
            0.0091069527,
            0.00837740302,
            0.00764785428,
            0.0069183046,
            0.00618875492,
            0.00545920525,
            0.00472965557,
            0.0040001059,
            0.00327055622,
            0.00254100654,
            0.00176167185,
            0.000788939069,
            -0.000183793716,
            -0.00115652662,
            -0.00212925952,
            -0.00310199196,
            -0.00407472486,
            -0.00504745776,
            -0.00602019019,
            -0.0069929231,
            -0.007965656,
            -0.0089383889,
            -0.0099111218,
            -0.0108838547,
            -0.0118565876,
            -0.0128293196,
            -0.0137829045,
            -0.0145124542,
            -0.0152420038,
            -0.0159715526,
            -0.0167011023,
            -0.0174306519,
            -0.0181602016,
            -0.0188897513,
            -0.019619301,
            -0.0203488506,
            -0.0210784003,
            -0.02180795,
            -0.0225374997,
            -0.0232670493,
            -0.023996599,
            -0.0247261487,
            -0.0254556984,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0259095114,
            -0.026639061,
            -0.0273686107,
            -0.0280981604,
            -0.0288277101,
            -0.0295572598,
            -0.0302868094,
            -0.0310163591,
            -0.0317459106,
            -0.0324754566,
            -0.03320501,
            -0.0339345559,
            -0.0346641093,
            -0.0353936553,
            -0.0361232087,
            -0.0368527547,
            -0.0379097424,
            -0.0393688418,
            -0.0408279411,
            -0.0422870368,
            -0.0437461361,
            -0.0452052355,
            -0.0466643348,
            -0.0481234342,
            -0.0495825335,
            -0.0510416329,
            -0.0525007322,
            -0.0539598316,
            -0.0554189309,
            -0.0568780303,
            -0.0583371297,
            -0.059796229,
            -0.0613338351,
            -0.0630361214,
            -0.0647384003,
            -0.0664406866,
            -0.0681429654,
            -0.0698452443,
            -0.0715475306,
            -0.0732498094,
            -0.0749520957,
            -0.0766543746,
            -0.0783566609,
            -0.0800589398,
            -0.0817612261,
            -0.0834635049,
            -0.0851657912,
            -0.0868680701,
            -0.0885224864,
            -0.0899815783,
            -0.0914406776,
            -0.092899777,
            -0.0943588689,
            -0.0958179682,
            -0.0972770676,
            -0.098736167,
            -0.100195259,
            -0.101654358,
            -0.103113458,
            -0.104572549,
            -0.106031649,
            -0.107490748,
            -0.108949848,
            -0.110408947,
            -0.111816339,
            -0.112545893,
            -0.113275446,
            -0.114004992,
            -0.114734545,
            -0.115464099,
            -0.116193652,
            -0.116923198,
            -0.117652752,
            -0.118382305,
            -0.119111851,
            -0.119841404,
            -0.120570958,
            -0.121300511,
            -0.122030057,
            -0.12275961,
            -0.123489164,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.124325946,
            -0.125298679,
            -0.126271412,
            -0.127244145,
            -0.128216878,
            -0.12918961,
            -0.130162358,
            -0.131135091,
            -0.132107824,
            -0.133080557,
            -0.13405329,
            -0.135026023,
            -0.135998756,
            -0.136971489,
            -0.137944236,
            -0.138916969,
            -0.1397212,
            -0.140450746,
            -0.141180292,
            -0.141909838,
            -0.142639399,
            -0.143368945,
            -0.14409849,
            -0.144828036,
            -0.145557582,
            -0.146287143,
            -0.147016689,
            -0.147746235,
            -0.148475781,
            -0.149205342,
            -0.149934888,
            -0.150664434,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150750607,
            -0.150021061,
            -0.1492915,
            -0.148561954,
            -0.147832409,
            -0.147102863,
            -0.146373302,
            -0.145643756,
            -0.14491421,
            -0.144184664,
            -0.143455103,
            -0.142725557,
            -0.141996011,
            -0.141266465,
            -0.140536904,
            -0.139807358,
            -0.139031857,
            -0.138059124,
            -0.137086391,
            -0.136113644,
            -0.135140911,
            -0.134168178,
            -0.133195445,
            -0.132222712,
            -0.131249979,
            -0.130277246,
            -0.129304513,
            -0.12833178,
            -0.127359033,
            -0.1263863,
            -0.125413567,
            -0.124440834,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.124318287,
            -0.12529102,
            -0.126263753,
            -0.127236485,
            -0.128209218,
            -0.129181951,
            -0.130154699,
            -0.131127432,
            -0.132100165,
            -0.133072898,
            -0.134045631,
            -0.135018364,
            -0.135991096,
            -0.136963829,
            -0.137936577,
            -0.13890931,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.138794422,
            -0.137821674,
            -0.136848941,
            -0.135876209,
            -0.134903476,
            -0.133930743,
            -0.13295801,
            -0.131985277,
            -0.131012544,
            -0.130039811,
            -0.129067063,
            -0.12809433,
            -0.127121598,
            -0.126148865,
            -0.125176132,
            -0.124203399,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123705536,
            -0.124678276,
            -0.125651002,
            -0.12662375,
            -0.127596483,
            -0.128569216,
            -0.129541948,
            -0.130514681,
            -0.131487414,
            -0.132460147,
            -0.13343288,
            -0.134405613,
            -0.135378361,
            -0.136351094,
            -0.137323827,
            -0.138296559,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.138679519,
            -0.137706786,
            -0.136734053,
            -0.135761321,
            -0.134788588,
            -0.133815855,
            -0.132843122,
            -0.131870389,
            -0.130897641,
            -0.129924908,
            -0.128952175,
            -0.127979442,
            -0.12700671,
            -0.126033977,
            -0.125061244,
            -0.124088503,
            -0.12321917,
            -0.122489624,
            -0.12176007,
            -0.121030517,
            -0.120300964,
            -0.119571418,
            -0.118841864,
            -0.118112311,
            -0.117382757,
            -0.116653211,
            -0.115923658,
            -0.115194105,
            -0.114464551,
            -0.113735005,
            -0.113005452,
            -0.112275898,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111730173,
            -0.111000627,
            -0.110271074,
            -0.109541528,
            -0.108811982,
            -0.108082436,
            -0.107352883,
            -0.106623337,
            -0.105893791,
            -0.105164245,
            -0.104434699,
            -0.103705145,
            -0.102975599,
            -0.102246054,
            -0.101516508,
            -0.100786954,
            -0.100057408,
            -0.0993278623,
            -0.0985983089,
            -0.0978687629,
            -0.0971392095,
            -0.0964096636,
            -0.0956801102,
            -0.0949505642,
            -0.0942210108,
            -0.0934914649,
            -0.0927619115,
            -0.0920323655,
            -0.0913028121,
            -0.0905732661,
            -0.0898437127,
            -0.0891141668,
            -0.0883846134,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0879307985,
            -0.0872012526,
            -0.0864716992,
            -0.0857421532,
            -0.0850125998,
            -0.0842830539,
            -0.0835535005,
            -0.0828239545,
            -0.0820944011,
            -0.0813648552,
            -0.0806353092,
            -0.0799057558,
            -0.0791762024,
            -0.0784466565,
            -0.0777171105,
            -0.0769875571,
            -0.0761871561,
            -0.0752144232,
            -0.0742416903,
            -0.0732689574,
            -0.072296232,
            -0.0713234991,
            -0.0703507662,
            -0.0693780333,
            -0.0684053004,
            -0.0674325675,
            -0.0664598346,
            -0.0654871017,
            -0.0645143688,
            -0.0635416359,
            -0.062568903,
            -0.0615961663,
            -0.0606636479,
            -0.0599340983,
            -0.0592045486,
            -0.0584749989,
            -0.0577454492,
            -0.0570158996,
            -0.0562863499,
            -0.0555568002,
            -0.0548272505,
            -0.0540977009,
            -0.0533681512,
            -0.0526386015,
            -0.0519090518,
            -0.0511795022,
            -0.0504499525,
            -0.0497204028,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0483532138,
            -0.0476236641,
            -0.0468941145,
            -0.0461645648,
            -0.0454350151,
            -0.0447054654,
            -0.0439759158,
            -0.0432463661,
            -0.0425168201,
            -0.0417872667,
            -0.0410577208,
            -0.0403281674,
            -0.0395986214,
            -0.038869068,
            -0.0381395221,
            -0.0374099724,
            -0.0366804227,
            -0.035950873,
            -0.0352213234,
            -0.0344917737,
            -0.033762224,
            -0.0330326743,
            -0.0323031247,
            -0.031573575,
            -0.0308440253,
            -0.0301144756,
            -0.029384926,
            -0.0286553763,
            -0.0279258266,
            -0.0271962769,
            -0.0264667273,
            -0.0257371776,
            -0.0243642461,
            -0.0226619635,
            -0.0209596809,
            -0.0192573983,
            -0.0175551157,
            -0.015852835,
            -0.0141505515,
            -0.0124482689,
            -0.0107459864,
            -0.00904370472,
            -0.00734142214,
            -0.00563913956,
            -0.00393685699,
            -0.00223457441,
            -0.00053229183,
            0.00116999075,
            0.00235143909,
            0.00308098854,
            0.00381053821,
            0.00454008766,
            0.00526963733,
            0.00599918701,
            0.00672873668,
            0.00745828589,
            0.00818783604,
            0.00891738571,
            0.00964693539,
            0.0103764841,
            0.0111060338,
            0.0118355835,
            0.0125651332,
            0.0132946828,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.013840409,
            0.0145699587,
            0.0152995083,
            0.016029058,
            0.0167586077,
            0.0174881574,
            0.0182177071,
            0.0189472549,
            0.0196768045,
            0.0204063542,
            0.0211359039,
            0.0218654536,
            0.0225950032,
            0.0233245529,
            0.0240541026,
            0.0247836523,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0261508394,
            0.0268803891,
            0.0276099388,
            0.0283394884,
            0.0290690381,
            0.0297985878,
            0.0305281375,
            0.031257689,
            0.031987235,
            0.0327167884,
            0.0334463343,
            0.0341758877,
            0.0349054337,
            0.0356349871,
            0.036364533,
            0.0370940827,
            0.0378236324,
            0.038553182,
            0.0392827317,
            0.0400122814,
            0.0407418311,
            0.0414713807,
            0.0422009304,
            0.0429304801,
            0.0436600298,
            0.0443895794,
            0.0451191291,
            0.0458486788,
            0.0465782285,
            0.0473077781,
            0.0480373278,
            0.0487668775,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0487266667,
            0.047997117,
            0.0472675674,
            0.0465380177,
            0.045808468,
            0.0450789183,
            0.0443493687,
            0.043619819,
            0.0428902693,
            0.0421607196,
            0.04143117,
            0.0407016203,
            0.0399720706,
            0.0392425209,
            0.0385129713,
            0.0377834216,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.037909802,
            0.0386393517,
            0.0393689014,
            0.0400984511,
            0.0408280008,
            0.0415575504,
            0.0422870964,
            0.0430166498,
            0.0437461957,
            0.0444757491,
            0.0452052951,
            0.0459348485,
            0.0466643944,
            0.0473939441,
            0.0481234938,
            0.0488530435,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0489966571,
            0.0475375578,
            0.0460784584,
            0.0446193591,
            0.0431602597,
            0.0417011604,
            0.040242061,
            0.0387829617,
            0.0373238623,
            0.035864763,
            0.0344056636,
            0.0329465643,
            0.0314874649,
            0.0300283674,
            0.0285692681,
            0.0271101687,
            0.0256510694,
            0.0248410981,
            0.0241115484,
            0.0233819988,
            0.0226524491,
            0.0219228994,
            0.0211933497,
            0.0204638001,
            0.0197342504,
            0.0190047007,
            0.018275151,
            0.0175456014,
            0.0168160517,
            0.0160865039,
            0.0153569533,
            0.0146274036,
            0.0138978539,
            0.0131683042,
            0.0124387546,
            0.0117092049,
            0.0109796552,
            0.0102501055,
            0.00952055678,
            0.0087910071,
            0.00806145743,
            0.00733190728,
            0.00660235807,
            0.0058728084,
            0.00514325872,
            0.00441370904,
            0.00368415937,
            0.00295460969,
            0.00222506002,
            0.00242611719,
            0.00315566687,
            0.00388521655,
            0.00461476576,
            0.00534431543,
            0.00607386511,
            0.00680341478,
            0.00753296446,
            0.00826251414,
            0.00899206381,
            0.00972161256,
            0.0104511632,
            0.0111807119,
            0.0119102616,
            0.0126398113,
            0.0133693609,
            0.0140989106,
            0.0148284603,
            0.01555801,
            0.0162875596,
            0.0170171093,
            0.017746659,
            0.0184762087,
            0.0192057583,
            0.019935308,
            0.0206648558,
            0.0213944055,
            0.0221239552,
            0.0228535049,
            0.0235830545,
            0.0243126042,
            0.0250421539,
            0.0260531846,
            0.0275122821,
            0.0289713815,
            0.0304304808,
            0.0318895802,
            0.0333486795,
            0.0348077789,
            0.0362668782,
            0.0377259776,
            0.039185077,
            0.0406441763,
            0.0421032757,
            0.043562375,
            0.0450214744,
            0.0464805737,
            0.0479396731,
            0.0494619608,
            0.0511642434,
            0.0528665259,
            0.0545688085,
            0.0562710911,
            0.05797337,
            0.0596756563,
            0.0613779351,
            0.0630802214,
            0.0647825003,
            0.0664847866,
            0.0681870654,
            0.0698893517,
            0.0715916306,
            0.0732939094,
            0.0749961957,
            0.0765682682,
            0.0772978216,
            0.0780273676,
            0.078756921,
            0.0794864669,
            0.0802160203,
            0.0809455663,
            0.0816751197,
            0.0824046656,
            0.0831342191,
            0.083863765,
            0.0845933184,
            0.0853228644,
            0.0860524178,
            0.0867819637,
            0.0875115097,
            0.0882410631,
            0.0889706165,
            0.0897001624,
            0.0904297084,
            0.0911592618,
            0.0918888077,
            0.0926183611,
            0.0933479071,
            0.0940774605,
            0.0948070064,
            0.0955365598,
            0.0962661058,
            0.0969956592,
            0.0977252051,
            0.0984547585,
            0.0991843045,
            0.0999138579,
            0.100643404,
            0.101372957,
            0.102102503,
            0.102832057,
            0.103561603,
            0.104291156,
            0.105020702,
            0.105750255,
            0.106479801,
            0.107209355,
            0.107938901,
            0.108668454,
            0.109398,
            0.110127553,
            0.110857099,
            0.111586653,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.112224288,
            0.112953834,
            0.113683388,
            0.114412934,
            0.115142487,
            0.115872033,
            0.116601586,
            0.117331132,
            0.118060686,
            0.118790232,
            0.119519785,
            0.120249331,
            0.120978884,
            0.12170843,
            0.122437984,
            0.12316753,
            0.12401963,
            0.124992363,
            0.125965089,
            0.126937822,
            0.127910554,
            0.128883287,
            0.12985602,
            0.130828753,
            0.131801486,
            0.132774219,
            0.133746952,
            0.134719685,
            0.135692418,
            0.136665151,
            0.137637883,
            0.138610616,
            0.139491439,
            0.140221,
            0.140950546,
            0.141680092,
            0.142409638,
            0.143139184,
            0.143868744,
            0.14459829,
            0.145327836,
            0.146057382,
            0.146786943,
            0.147516489,
            0.148246035,
            0.148975581,
            0.149705142,
            0.150434688,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413
          ],
          [
            0.139215708,
            0.139945254,
            0.1406748,
            0.141404361,
            0.142133906,
            0.142863452,
            0.143592998,
            0.144322559,
            0.145052105,
            0.145781651,
            0.146511197,
            0.147240758,
            0.147970304,
            0.14869985,
            0.149429396,
            0.150158957,
            0.150888503,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150618508,
            0.149888963,
            0.149159417,
            0.148429856,
            0.14770031,
            0.146970764,
            0.146241218,
            0.145511657,
            0.144782111,
            0.144052565,
            0.143323019,
            0.142593458,
            0.141863912,
            0.141134366,
            0.14040482,
            0.13967526,
            0.138855726,
            0.137882993,
            0.13691026,
            0.135937527,
            0.134964794,
            0.133992061,
            0.133019328,
            0.132046595,
            0.131073862,
            0.130101129,
            0.129128397,
            0.128155664,
            0.127182931,
            0.126210198,
            0.125237465,
            0.124264732,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123443268,
            0.122713715,
            0.121984169,
            0.121254615,
            0.12052507,
            0.119795516,
            0.11906597,
            0.118336417,
            0.117606871,
            0.116877317,
            0.116147771,
            0.115418226,
            0.114688672,
            0.113959119,
            0.113229573,
            0.112500027,
            0.111770473,
            0.112488531,
            0.113218084,
            0.11394763,
            0.114677183,
            0.115406729,
            0.116136283,
            0.116865829,
            0.117595382,
            0.118324928,
            0.119054481,
            0.119784027,
            0.120513581,
            0.121243127,
            0.12197268,
            0.122702226,
            0.123431779,
            0.124371961,
            0.125344694,
            0.126317427,
            0.127290159,
            0.128262892,
            0.129235625,
            0.130208358,
            0.131181091,
            0.132153824,
            0.133126557,
            0.13409929,
            0.135072023,
            0.136044756,
            0.137017488,
            0.137990221,
            0.138962954,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.138740838,
            0.137768105,
            0.136795372,
            0.135822639,
            0.134849906,
            0.133877173,
            0.13290444,
            0.131931707,
            0.130958974,
            0.129986241,
            0.129013509,
            0.128040776,
            0.127068043,
            0.12609531,
            0.125122577,
            0.124149837,
            0.123265184,
            0.122535639,
            0.121806085,
            0.121076539,
            0.120346993,
            0.11961744,
            0.118887886,
            0.11815834,
            0.117428795,
            0.116699241,
            0.115969695,
            0.115240142,
            0.114510596,
            0.113781042,
            0.113051496,
            0.112321943,
            0.111937061,
            0.112666614,
            0.11339616,
            0.114125714,
            0.11485526,
            0.115584813,
            0.116314359,
            0.117043912,
            0.117773458,
            0.118503012,
            0.119232558,
            0.119962111,
            0.120691657,
            0.12142121,
            0.122150756,
            0.12288031,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.124241747,
            0.125214487,
            0.12618722,
            0.127159953,
            0.128132686,
            0.129105419,
            0.130078152,
            0.131050885,
            0.132023618,
            0.132996351,
            0.133969083,
            0.134941816,
            0.135914549,
            0.136887282,
            0.137860015,
            0.138832748,
            0.139658034,
            0.14038758,
            0.141117126,
            0.141846687,
            0.142576233,
            0.143305779,
            0.144035324,
            0.144764885,
            0.145494431,
            0.146223977,
            0.146953523,
            0.147683084,
            0.14841263,
            0.149142176,
            0.149871722,
            0.150601283,
            0.151330829,
            0.152060375,
            0.152789935,
            0.153519481,
            0.154249042,
            0.154978588,
            0.155708149,
            0.156437695,
            0.157167256,
            0.157896802,
            0.158626363,
            0.159355909,
            0.160085469,
            0.160815015,
            0.161544576,
            0.162274122,
            0.163003683,
            0.163733229,
            0.164462775,
            0.165192321,
            0.165921867,
            0.166651413,
            0.167380959,
            0.168110505,
            0.168840051,
            0.169569597,
            0.170299143,
            0.171028689,
            0.171758235,
            0.17248778,
            0.173217326,
            0.173946872,
            0.174343228,
            0.173613682,
            0.172884136,
            0.17215459,
            0.171425045,
            0.170695499,
            0.169965953,
            0.169236407,
            0.168506861,
            0.167777315,
            0.167047769,
            0.166318223,
            0.165588677,
            0.164859131,
            0.164129585,
            0.163400039,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163457483,
            0.164187029,
            0.164916575,
            0.165646121,
            0.166375667,
            0.167105213,
            0.167834759,
            0.168564305,
            0.169293851,
            0.170023397,
            0.170752943,
            0.171482489,
            0.172212034,
            0.17294158,
            0.173671126,
            0.174400672,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174073249,
            0.173343703,
            0.172614157,
            0.171884611,
            0.171155065,
            0.170425519,
            0.169695973,
            0.168966427,
            0.168236881,
            0.167507336,
            0.16677779,
            0.166048244,
            0.165318698,
            0.164589152,
            0.163859606,
            0.16313006,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.16222243,
            0.161492869,
            0.160763323,
            0.160033762,
            0.159304217,
            0.158574656,
            0.15784511,
            0.157115549,
            0.156386003,
            0.155656442,
            0.154926896,
            0.154197335,
            0.153467789,
            0.152738228,
            0.152008682,
            0.151279122,
            0.150549576,
            0.14982003,
            0.149090484,
            0.148360923,
            0.147631377,
            0.146901831,
            0.146172285,
            0.145442724,
            0.144713178,
            0.143983632,
            0.143254086,
            0.142524526,
            0.14179498,
            0.141065434,
            0.140335888,
            0.139606327,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139131457,
            0.138158724,
            0.137185991,
            0.136213258,
            0.135240525,
            0.134267792,
            0.133295059,
            0.132322326,
            0.131349593,
            0.13037686,
            0.129404128,
            0.128431395,
            0.127458662,
            0.126485929,
            0.125513196,
            0.124540463,
            0.12356773,
            0.122127779,
            0.120668679,
            0.11920958,
            0.117750481,
            0.116291381,
            0.114832282,
            0.113373183,
            0.111914083,
            0.110454984,
            0.108995885,
            0.107536793,
            0.106077686,
            0.104618594,
            0.103159487,
            0.101700395,
            0.100241289,
            0.0993911102,
            0.0986615568,
            0.0979320109,
            0.0972024575,
            0.0964729115,
            0.0957433581,
            0.0950138122,
            0.0942842588,
            0.0935547128,
            0.0928251594,
            0.0920956135,
            0.0913660601,
            0.0906365141,
            0.0899069607,
            0.0891774148,
            0.0884478614,
            0.0877183154,
            0.086988762,
            0.0862592161,
            0.0855296627,
            0.0848001167,
            0.0840705633,
            0.0833410174,
            0.0826114714,
            0.081881918,
            0.0811523721,
            0.0804228187,
            0.0796932727,
            0.0789637193,
            0.0782341734,
            0.07750462,
            0.076775074,
            0.0754787326,
            0.0737764537,
            0.0720741674,
            0.0703718886,
            0.0686696023,
            0.0669673234,
            0.0652650371,
            0.0635627583,
            0.061860472,
            0.0601581931,
            0.0584559068,
            0.056753628,
            0.0550513417,
            0.0533490628,
            0.0516467765,
            0.0499444976,
            0.0486864559,
            0.0479569063,
            0.0472273566,
            0.0464978069,
            0.0457682572,
            0.0450387076,
            0.0443091579,
            0.0435796082,
            0.0428500585,
            0.0421205088,
            0.0413909592,
            0.0406614095,
            0.0399318598,
            0.0392023101,
            0.0384727605,
            0.0377432108,
            0.0370136611,
            0.0362841114,
            0.0355545618,
            0.0348250121,
            0.0340954624,
            0.0333659127,
            0.0326363631,
            0.0319068134,
            0.0311772637,
            0.030447714,
            0.0297181644,
            0.0289886147,
            0.028259065,
            0.0275295153,
            0.0267999656,
            0.026070416,
            0.025191512,
            0.0237324126,
            0.0222733133,
            0.0208142139,
            0.0193551145,
            0.0178960152,
            0.0164369158,
            0.0149778165,
            0.0135187181,
            0.0120596187,
            0.0106005194,
            0.00914142095,
            0.00768232159,
            0.00622322224,
            0.00476412289,
            0.00330502354,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00103403709,
            6.13043085e-5,
            -0.000911428593,
            -0.00188416126,
            -0.00285689393,
            -0.00382962683,
            -0.00480235973,
            -0.00577509217,
            -0.00674782507,
            -0.00772055797,
            -0.00869329087,
            -0.00966602378,
            -0.0106387567,
            -0.0116114896,
            -0.0125842215,
            -0.0135569545,
            -0.0143286306,
            -0.0150581803,
            -0.01578773,
            -0.0165172797,
            -0.0172468293,
            -0.017976379,
            -0.0187059287,
            -0.0194354765,
            -0.0201650262,
            -0.0208945759,
            -0.0216241255,
            -0.0223536752,
            -0.0230832249,
            -0.0238127746,
            -0.0245423242,
            -0.0252718739,
            -0.0260014236,
            -0.0267309733,
            -0.0274605229,
            -0.0281900726,
            -0.0289196223,
            -0.029649172,
            -0.0303787217,
            -0.0311082713,
            -0.031837821,
            -0.0325673707,
            -0.0332969204,
            -0.03402647,
            -0.0347560197,
            -0.0354855694,
            -0.0362151191,
            -0.0369446687,
            -0.0376742184,
            -0.0384037681,
            -0.0391333178,
            -0.0398628674,
            -0.0405924171,
            -0.0413219668,
            -0.0420515165,
            -0.0427810624,
            -0.0435106158,
            -0.0442401618,
            -0.0449697152,
            -0.0456992611,
            -0.0464288145,
            -0.0471583605,
            -0.0478879139,
            -0.0486174598,
            -0.0497835912,
            -0.0514858738,
            -0.0531881563,
            -0.0548904389,
            -0.0565927215,
            -0.0582950041,
            -0.0599972866,
            -0.0616995692,
            -0.0634018481,
            -0.0651041344,
            -0.0668064132,
            -0.0685086995,
            -0.0702109784,
            -0.0719132647,
            -0.0736155435,
            -0.0753178298,
            -0.0769416019,
            -0.0784007013,
            -0.0798598006,
            -0.0813189,
            -0.0827779993,
            -0.0842370987,
            -0.085696198,
            -0.0871552974,
            -0.0886143968,
            -0.0900734961,
            -0.0915325955,
            -0.0929916948,
            -0.0944507942,
            -0.0959098935,
            -0.0973689929,
            -0.0988280922,
            -0.100143574,
            -0.10087312,
            -0.101602674,
            -0.102332219,
            -0.103061765,
            -0.103791311,
            -0.104520865,
            -0.105250411,
            -0.105979957,
            -0.106709503,
            -0.107439056,
            -0.108168602,
            -0.108898148,
            -0.109627694,
            -0.110357247,
            -0.111086793,
            -0.111816339,
            -0.112545893,
            -0.113275446,
            -0.114004992,
            -0.114734545,
            -0.115464099,
            -0.116193652,
            -0.116923198,
            -0.117652752,
            -0.118382305,
            -0.119111851,
            -0.119841404,
            -0.120570958,
            -0.121300511,
            -0.122030057,
            -0.12275961,
            -0.123489164,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.124325946,
            -0.125298679,
            -0.126271412,
            -0.127244145,
            -0.128216878,
            -0.12918961,
            -0.130162358,
            -0.131135091,
            -0.132107824,
            -0.133080557,
            -0.13405329,
            -0.135026023,
            -0.135998756,
            -0.136971489,
            -0.137944236,
            -0.138916969,
            -0.1397212,
            -0.140450746,
            -0.141180292,
            -0.141909838,
            -0.142639399,
            -0.143368945,
            -0.14409849,
            -0.144828036,
            -0.145557582,
            -0.146287143,
            -0.147016689,
            -0.147746235,
            -0.148475781,
            -0.149205342,
            -0.149934888,
            -0.150664434,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150750607,
            -0.150021061,
            -0.1492915,
            -0.148561954,
            -0.147832409,
            -0.147102863,
            -0.146373302,
            -0.145643756,
            -0.14491421,
            -0.144184664,
            -0.143455103,
            -0.142725557,
            -0.141996011,
            -0.141266465,
            -0.140536904,
            -0.139807358,
            -0.139031857,
            -0.138059124,
            -0.137086391,
            -0.136113644,
            -0.135140911,
            -0.134168178,
            -0.133195445,
            -0.132222712,
            -0.131249979,
            -0.130277246,
            -0.129304513,
            -0.12833178,
            -0.127359033,
            -0.1263863,
            -0.125413567,
            -0.124440834,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.124318287,
            -0.12529102,
            -0.126263753,
            -0.127236485,
            -0.128209218,
            -0.129181951,
            -0.130154699,
            -0.131127432,
            -0.132100165,
            -0.133072898,
            -0.134045631,
            -0.135018364,
            -0.135991096,
            -0.136963829,
            -0.137936577,
            -0.13890931,
            -0.138549313,
            -0.13757658,
            -0.136603847,
            -0.135631114,
            -0.134658381,
            -0.133685648,
            -0.132712916,
            -0.131740168,
            -0.130767435,
            -0.129794702,
            -0.128821969,
            -0.127849236,
            -0.126876503,
            -0.12590377,
            -0.12493103,
            -0.123958297,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123213425,
            -0.122483879,
            -0.121754326,
            -0.121024773,
            -0.120295219,
            -0.119565673,
            -0.11883612,
            -0.118106566,
            -0.117377013,
            -0.116647467,
            -0.115917914,
            -0.11518836,
            -0.114458807,
            -0.113729261,
            -0.112999707,
            -0.112270154,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.112350576,
            -0.113080129,
            -0.113809682,
            -0.114539236,
            -0.115268782,
            -0.115998335,
            -0.116727889,
            -0.117457442,
            -0.118186988,
            -0.118916541,
            -0.119646095,
            -0.120375648,
            -0.121105194,
            -0.121834747,
            -0.122564301,
            -0.123293847,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.12321917,
            -0.122489624,
            -0.12176007,
            -0.121030517,
            -0.120300964,
            -0.119571418,
            -0.118841864,
            -0.118112311,
            -0.117382757,
            -0.116653211,
            -0.115923658,
            -0.115194105,
            -0.114464551,
            -0.113735005,
            -0.113005452,
            -0.112275898,
            -0.111546353,
            -0.110816799,
            -0.110087253,
            -0.109357707,
            -0.108628161,
            -0.107898608,
            -0.107169062,
            -0.106439516,
            -0.10570997,
            -0.104980417,
            -0.104250871,
            -0.103521325,
            -0.102791779,
            -0.102062225,
            -0.101332679,
            -0.100603133,
            -0.0998735875,
            -0.0991440341,
            -0.0984144881,
            -0.0976849347,
            -0.0969553888,
            -0.0962258354,
            -0.0954962894,
            -0.094766736,
            -0.0940371901,
            -0.0933076367,
            -0.0925780907,
            -0.0918485373,
            -0.0911189914,
            -0.090389438,
            -0.089659892,
            -0.0889303386,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0875631571,
            -0.0868336037,
            -0.0861040577,
            -0.0853745043,
            -0.0846449584,
            -0.083915405,
            -0.083185859,
            -0.0824563056,
            -0.0817267597,
            -0.0809972063,
            -0.0802676603,
            -0.0795381069,
            -0.078808561,
            -0.0780790076,
            -0.0773494616,
            -0.0766199082,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0758195147,
            -0.0748467818,
            -0.0738740489,
            -0.072901316,
            -0.0719285831,
            -0.0709558502,
            -0.0699831173,
            -0.0690103844,
            -0.0680376515,
            -0.0670649186,
            -0.0660921857,
            -0.0651194528,
            -0.0641467199,
            -0.063173987,
            -0.0622012541,
            -0.0612285212,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0606636479,
            -0.0599340983,
            -0.0592045486,
            -0.0584749989,
            -0.0577454492,
            -0.0570158996,
            -0.0562863499,
            -0.0555568002,
            -0.0548272505,
            -0.0540977009,
            -0.0533681512,
            -0.0526386015,
            -0.0519090518,
            -0.0511795022,
            -0.0504499525,
            -0.0497204028,
            -0.0489908531,
            -0.0482613035,
            -0.0475317538,
            -0.0468022041,
            -0.0460726544,
            -0.0453431047,
            -0.0446135551,
            -0.0438840054,
            -0.0431544557,
            -0.042424906,
            -0.0416953564,
            -0.0409658067,
            -0.040236257,
            -0.0395067073,
            -0.0387771577,
            -0.038047608,
            -0.0373180583,
            -0.0365885086,
            -0.035858959,
            -0.0351294093,
            -0.0343998596,
            -0.0336703099,
            -0.0329407603,
            -0.0322112106,
            -0.0314816609,
            -0.0307521131,
            -0.0300225634,
            -0.0292930137,
            -0.0285634641,
            -0.0278339144,
            -0.0271043647,
            -0.026374815,
            -0.0256452672,
            -0.0249157157,
            -0.024186166,
            -0.0234566163,
            -0.0227270685,
            -0.0219975188,
            -0.0212679692,
            -0.0205384195,
            -0.0198088698,
            -0.0190793201,
            -0.0183497705,
            -0.0176202208,
            -0.0168906711,
            -0.0161611214,
            -0.0154315718,
            -0.0147020221,
            -0.0139724724,
            -0.0125995409,
            -0.0108972583,
            -0.00919497572,
            -0.00749269361,
            -0.00579041056,
            -0.00408812892,
            -0.00238584634,
            -0.000683563761,
            0.00101871882,
            0.00272100046,
            0.00442328304,
            0.00612556562,
            0.0078278482,
            0.00953013077,
            0.0112324134,
            0.0129346959,
            0.0141161438,
            0.0148456935,
            0.0155752432,
            0.0163047928,
            0.0170343425,
            0.0177638922,
            0.0184934419,
            0.0192229915,
            0.0199525412,
            0.0206820909,
            0.0214116406,
            0.0221411884,
            0.0228707381,
            0.0236002877,
            0.0243298374,
            0.0250593871,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0252834223,
            0.0245538726,
            0.023824323,
            0.0230947733,
            0.0223652236,
            0.0216356739,
            0.0209061243,
            0.0201765765,
            0.0194470268,
            0.0187174771,
            0.0179879274,
            0.0172583777,
            0.0165288281,
            0.0157992784,
            0.0150697287,
            0.014340179,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137484968,
            0.0144780464,
            0.0152075961,
            0.0159371458,
            0.0166666955,
            0.0173962452,
            0.0181257948,
            0.0188553445,
            0.0195848942,
            0.0203144439,
            0.0210439935,
            0.0217735432,
            0.0225030929,
            0.0232326426,
            0.0239621922,
            0.0246917419,
            0.0254212916,
            0.0261508394,
            0.0268803891,
            0.0276099388,
            0.0283394884,
            0.0290690381,
            0.0297985878,
            0.0305281375,
            0.031257689,
            0.031987235,
            0.0327167884,
            0.0334463343,
            0.0341758877,
            0.0349054337,
            0.0356349871,
            0.036364533,
            0.0370940827,
            0.0378236324,
            0.038553182,
            0.0392827317,
            0.0400122814,
            0.0407418311,
            0.0414713807,
            0.0422009304,
            0.0429304801,
            0.0436600298,
            0.0443895794,
            0.0451191291,
            0.0458486788,
            0.0465782285,
            0.0473077781,
            0.0480373278,
            0.0487668775,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0487266667,
            0.047997117,
            0.0472675674,
            0.0465380177,
            0.045808468,
            0.0450789183,
            0.0443493687,
            0.043619819,
            0.0428902693,
            0.0421607196,
            0.04143117,
            0.0407016203,
            0.0399720706,
            0.0392425209,
            0.0385129713,
            0.0377834216,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.037145786,
            0.0364162363,
            0.0356866866,
            0.034957137,
            0.0342275873,
            0.0334980376,
            0.0327684879,
            0.0320389383,
            0.0313093886,
            0.0305798389,
            0.0298502892,
            0.0291207395,
            0.0283911899,
            0.0276616402,
            0.0269320905,
            0.0262025408,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.026145095,
            0.0268746447,
            0.0276041944,
            0.028333744,
            0.0290632937,
            0.0297928434,
            0.0305223931,
            0.0312519446,
            0.0319814906,
            0.032711044,
            0.0334405899,
            0.0341701433,
            0.0348996893,
            0.0356292389,
            0.0363587886,
            0.0370883383,
            0.037817888,
            0.0385474376,
            0.0392769873,
            0.040006537,
            0.0407360867,
            0.0414656363,
            0.042195186,
            0.0429247357,
            0.0436542854,
            0.044383835,
            0.0451133847,
            0.0458429344,
            0.0465724841,
            0.0473020338,
            0.0480315834,
            0.0487611331,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0493987724,
            0.0501283221,
            0.0508578718,
            0.0515874177,
            0.0523169674,
            0.0530465171,
            0.0537760668,
            0.0545056164,
            0.0552351661,
            0.0559647158,
            0.0566942655,
            0.0574238151,
            0.0581533648,
            0.0588829145,
            0.0596124642,
            0.0603420138,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0605890267,
            0.059859477,
            0.0591299273,
            0.0584003776,
            0.057670828,
            0.0569412783,
            0.0562117286,
            0.0554821789,
            0.0547526293,
            0.0540230796,
            0.0532935336,
            0.0525639802,
            0.0518344343,
            0.0511048809,
            0.0503753349,
            0.0496457815,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490081459,
            0.0482785963,
            0.0475490466,
            0.0468194969,
            0.0460899472,
            0.0453603975,
            0.0446308479,
            0.0439012982,
            0.0431717485,
            0.0424421988,
            0.0417126492,
            0.0409830995,
            0.0402535498,
            0.0395240001,
            0.0387944505,
            0.0380649008,
            0.0373353511,
            0.0366058014,
            0.0358762518,
            0.0351467021,
            0.0344171524,
            0.0336876027,
            0.0329580531,
            0.0322285071,
            0.0314989537,
            0.0307694059,
            0.0300398562,
            0.0293103065,
            0.0285807569,
            0.027851209,
            0.0271216594,
            0.0263921097,
            0.02566256,
            0.0249330085,
            0.0242034607,
            0.023473911,
            0.0227443613,
            0.0220148116,
            0.021285262,
            0.0205557123,
            0.0198261626,
            0.0190966129,
            0.0183670633,
            0.0176375136,
            0.0169079639,
            0.0161784142,
            0.0154488645,
            0.0147193149,
            0.0139897652,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0140989106,
            0.0148284603,
            0.01555801,
            0.0162875596,
            0.0170171093,
            0.017746659,
            0.0184762087,
            0.0192057583,
            0.019935308,
            0.0206648558,
            0.0213944055,
            0.0221239552,
            0.0228535049,
            0.0235830545,
            0.0243126042,
            0.0250421539,
            0.0257717036,
            0.0265012532,
            0.0272308029,
            0.0279603526,
            0.0286899023,
            0.029419452,
            0.0301490016,
            0.0308785513,
            0.031608101,
            0.0323376507,
            0.0330672003,
            0.03379675,
            0.0345262997,
            0.0352558494,
            0.035985399,
            0.0367149487,
            0.0376340672,
            0.0390931666,
            0.0405522622,
            0.0420113616,
            0.0434704609,
            0.0449295603,
            0.0463886596,
            0.047847759,
            0.0493068583,
            0.0507659577,
            0.052225057,
            0.0536841564,
            0.0551432557,
            0.0566023551,
            0.0580614544,
            0.0595205538,
            0.06091455,
            0.0618872792,
            0.0628600121,
            0.063832745,
            0.0648054779,
            0.0657782108,
            0.0667509437,
            0.0677236766,
            0.0686964095,
            0.0696691424,
            0.0706418753,
            0.0716146082,
            0.0725873411,
            0.073560074,
            0.0745328069,
            0.0755055398,
            0.0764763579,
            0.0772059113,
            0.0779354572,
            0.0786650032,
            0.0793945566,
            0.0801241025,
            0.0808536559,
            0.0815832019,
            0.0823127553,
            0.0830423012,
            0.0837718546,
            0.0845014006,
            0.085230954,
            0.0859604999,
            0.0866900533,
            0.0874195993,
            0.0881491527,
            0.0888786986,
            0.089608252,
            0.090337798,
            0.0910673514,
            0.0917968974,
            0.0925264508,
            0.0932559967,
            0.0939855501,
            0.0947150961,
            0.0954446495,
            0.0961741954,
            0.0969037488,
            0.0976332948,
            0.0983628482,
            0.0990923941,
            0.0998219475,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100459583,
            0.101189129,
            0.101918682,
            0.102648228,
            0.103377782,
            0.104107328,
            0.104836881,
            0.105566427,
            0.106295981,
            0.107025526,
            0.10775508,
            0.108484626,
            0.109214179,
            0.109943725,
            0.110673279,
            0.111402825,
            0.112622574,
            0.114324853,
            0.116027139,
            0.117729418,
            0.119431704,
            0.121133983,
            0.122836269,
            0.124538548,
            0.126240835,
            0.127943113,
            0.129645392,
            0.131347686,
            0.133049965,
            0.134752244,
            0.136454523,
            0.138156801,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708
          ],
          [
            0.123529434,
            0.124502167,
            0.1254749,
            0.126447633,
            0.127420366,
            0.128393099,
            0.129365832,
            0.130338565,
            0.131311297,
            0.13228403,
            0.133256763,
            0.134229496,
            0.135202229,
            0.136174962,
            0.137147695,
            0.138120428,
            0.139093161,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.138733178,
            0.137760445,
            0.136787713,
            0.13581498,
            0.134842247,
            0.133869514,
            0.132896781,
            0.131924048,
            0.130951315,
            0.129978582,
            0.129005849,
            0.128033116,
            0.127060384,
            0.126087651,
            0.125114918,
            0.124142177,
            0.12325944,
            0.122529894,
            0.121800341,
            0.121070795,
            0.120341241,
            0.119611695,
            0.118882149,
            0.118152596,
            0.11742305,
            0.116693497,
            0.115963951,
            0.115234397,
            0.114504851,
            0.113775298,
            0.113045752,
            0.112316199,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111678563,
            0.11094901,
            0.110219464,
            0.10948991,
            0.108760364,
            0.108030811,
            0.107301265,
            0.106571712,
            0.105842166,
            0.105112612,
            0.104383066,
            0.10365352,
            0.102923967,
            0.102194414,
            0.101464868,
            0.100735322,
            0.100005768,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100540005,
            0.101269558,
            0.101999104,
            0.102728657,
            0.103458203,
            0.104187757,
            0.104917303,
            0.105646849,
            0.106376402,
            0.107105955,
            0.107835501,
            0.108565047,
            0.109294601,
            0.110024154,
            0.1107537,
            0.111483246,
            0.111316659,
            0.110587113,
            0.109857559,
            0.109128013,
            0.10839846,
            0.107668914,
            0.10693936,
            0.106209815,
            0.105480261,
            0.104750715,
            0.104021162,
            0.103291616,
            0.102562062,
            0.101832516,
            0.101102963,
            0.100373417,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100172356,
            0.100901909,
            0.101631455,
            0.102361009,
            0.103090554,
            0.103820108,
            0.104549654,
            0.105279207,
            0.106008753,
            0.106738307,
            0.107467853,
            0.108197406,
            0.108926952,
            0.109656505,
            0.110386051,
            0.111115605,
            0.111845151,
            0.112574704,
            0.11330425,
            0.114033803,
            0.114763349,
            0.115492903,
            0.116222449,
            0.116952002,
            0.117681548,
            0.118411101,
            0.119140647,
            0.119870201,
            0.120599747,
            0.121329293,
            0.122058846,
            0.122788399,
            0.123517945,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.1241192,
            0.12509194,
            0.126064673,
            0.127037406,
            0.128010139,
            0.128982872,
            0.129955605,
            0.130928338,
            0.13190107,
            0.132873803,
            0.133846521,
            0.134819269,
            0.135791987,
            0.136764735,
            0.137737453,
            0.138710201,
            0.139916539,
            0.141375646,
            0.142834738,
            0.144293845,
            0.145752952,
            0.147212058,
            0.14867115,
            0.150130257,
            0.151589364,
            0.153048456,
            0.154507563,
            0.155966669,
            0.157425776,
            0.158884868,
            0.160343975,
            0.161803082,
            0.163003683,
            0.163733229,
            0.164462775,
            0.165192321,
            0.165921867,
            0.166651413,
            0.167380959,
            0.168110505,
            0.168840051,
            0.169569597,
            0.170299143,
            0.171028689,
            0.171758235,
            0.17248778,
            0.173217326,
            0.173946872,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174073249,
            0.173343703,
            0.172614157,
            0.171884611,
            0.171155065,
            0.170425519,
            0.169695973,
            0.168966427,
            0.168236881,
            0.167507336,
            0.16677779,
            0.166048244,
            0.165318698,
            0.164589152,
            0.163859606,
            0.16313006,
            0.162400514,
            0.161670953,
            0.160941407,
            0.160211846,
            0.1594823,
            0.158752739,
            0.158023193,
            0.157293633,
            0.156564087,
            0.155834526,
            0.15510498,
            0.154375419,
            0.153645873,
            0.152916312,
            0.152186766,
            0.151457205,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150549576,
            0.14982003,
            0.149090484,
            0.148360923,
            0.147631377,
            0.146901831,
            0.146172285,
            0.145442724,
            0.144713178,
            0.143983632,
            0.143254086,
            0.142524526,
            0.14179498,
            0.141065434,
            0.140335888,
            0.139606327,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139370814,
            0.14010036,
            0.140829906,
            0.141559452,
            0.142289013,
            0.143018559,
            0.143748105,
            0.144477651,
            0.145207211,
            0.145936757,
            0.146666303,
            0.147395849,
            0.14812541,
            0.148854956,
            0.149584502,
            0.150314048,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150279582,
            0.149550036,
            0.14882049,
            0.148090944,
            0.147361383,
            0.146631837,
            0.145902291,
            0.145172745,
            0.144443184,
            0.143713638,
            0.142984092,
            0.142254546,
            0.141524985,
            0.140795439,
            0.140065894,
            0.139336348,
            0.138403818,
            0.137431085,
            0.136458352,
            0.135485619,
            0.134512886,
            0.133540154,
            0.132567421,
            0.131594688,
            0.130621955,
            0.129649222,
            0.128676489,
            0.127703756,
            0.126731023,
            0.12575829,
            0.124785557,
            0.123812832,
            0.122495428,
            0.121036328,
            0.119577229,
            0.11811813,
            0.11665903,
            0.115199931,
            0.113740832,
            0.112281732,
            0.110822633,
            0.109363534,
            0.107904434,
            0.106445335,
            0.104986235,
            0.103527136,
            0.102068037,
            0.100608937,
            0.099574931,
            0.098845385,
            0.0981158316,
            0.0973862857,
            0.0966567323,
            0.0959271863,
            0.0951976329,
            0.094468087,
            0.0937385336,
            0.0930089876,
            0.0922794342,
            0.0915498883,
            0.0908203349,
            0.0900907889,
            0.0893612355,
            0.0886316895,
            0.0879021361,
            0.0871725902,
            0.0864430368,
            0.0857134908,
            0.0849839374,
            0.0842543915,
            0.0835248381,
            0.0827952921,
            0.0820657387,
            0.0813361928,
            0.0806066394,
            0.0798770934,
            0.0791475475,
            0.0784179941,
            0.0776884407,
            0.0769588947,
            0.0759076551,
            0.0742053688,
            0.0725030899,
            0.0708008036,
            0.0690985247,
            0.0673962384,
            0.0656939596,
            0.0639916807,
            0.0622893944,
            0.0605871119,
            0.0588848293,
            0.0571825504,
            0.0554802641,
            0.0537779853,
            0.052075699,
            0.0503734201,
            0.0487209223,
            0.047261823,
            0.0458027236,
            0.0443436243,
            0.0428845249,
            0.0414254256,
            0.0399663262,
            0.0385072269,
            0.0370481275,
            0.0355890281,
            0.0341299288,
            0.0326708332,
            0.031211732,
            0.0297526326,
            0.0282935333,
            0.0268344339,
            0.0254327804,
            0.0247032307,
            0.023973681,
            0.0232441314,
            0.0225145817,
            0.021785032,
            0.0210554823,
            0.0203259327,
            0.019596383,
            0.0188668333,
            0.0181372836,
            0.0174077339,
            0.0166781843,
            0.0159486346,
            0.0152190849,
            0.0144895352,
            0.0137599865,
            0.0130304368,
            0.0123008871,
            0.0115713375,
            0.0108417878,
            0.0101122381,
            0.00938268844,
            0.00865313876,
            0.00792359002,
            0.00719403988,
            0.0064644902,
            0.00573494099,
            0.00500539131,
            0.00427584164,
            0.00354629196,
            0.00281674229,
            0.00208719261,
            0.000553415157,
            -0.00114886719,
            -0.00285114953,
            -0.00455343211,
            -0.00625571422,
            -0.0079579968,
            -0.00966027938,
            -0.011362561,
            -0.0130648436,
            -0.0147671252,
            -0.0164694078,
            -0.0181716904,
            -0.019873973,
            -0.0215762556,
            -0.0232785381,
            -0.0249808207,
            -0.0265126824,
            -0.0279717818,
            -0.0294308811,
            -0.0308899805,
            -0.0323490798,
            -0.0338081792,
            -0.0352672786,
            -0.0367263779,
            -0.0381854773,
            -0.0396445766,
            -0.041103676,
            -0.0425627753,
            -0.0440218747,
            -0.045480974,
            -0.0469400734,
            -0.0483991727,
            -0.0499980524,
            -0.051700335,
            -0.0534026176,
            -0.0551049002,
            -0.0568071827,
            -0.0585094653,
            -0.0602117479,
            -0.0619140267,
            -0.063616313,
            -0.0653185919,
            -0.0670208782,
            -0.068723157,
            -0.0704254434,
            -0.0721277222,
            -0.0738300085,
            -0.0755322874,
            -0.076797992,
            -0.0775275379,
            -0.0782570913,
            -0.0789866373,
            -0.0797161907,
            -0.0804457366,
            -0.08117529,
            -0.081904836,
            -0.0826343894,
            -0.0833639354,
            -0.0840934888,
            -0.0848230347,
            -0.0855525881,
            -0.0862821341,
            -0.08701168,
            -0.0877412334,
            -0.0884707794,
            -0.0892003328,
            -0.0899298787,
            -0.0906594321,
            -0.0913889781,
            -0.0921185315,
            -0.0928480774,
            -0.0935776308,
            -0.0943071768,
            -0.0950367302,
            -0.0957662761,
            -0.0964958295,
            -0.0972253755,
            -0.0979549289,
            -0.0986844748,
            -0.0994140282,
            -0.100143574,
            -0.10087312,
            -0.101602674,
            -0.102332219,
            -0.103061765,
            -0.103791311,
            -0.104520865,
            -0.105250411,
            -0.105979957,
            -0.106709503,
            -0.107439056,
            -0.108168602,
            -0.108898148,
            -0.109627694,
            -0.110357247,
            -0.111086793,
            -0.111816339,
            -0.112545893,
            -0.113275446,
            -0.114004992,
            -0.114734545,
            -0.115464099,
            -0.116193652,
            -0.116923198,
            -0.117652752,
            -0.118382305,
            -0.119111851,
            -0.119841404,
            -0.120570958,
            -0.121300511,
            -0.122030057,
            -0.12275961,
            -0.123489164,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.124325946,
            -0.125298679,
            -0.126271412,
            -0.127244145,
            -0.128216878,
            -0.12918961,
            -0.130162358,
            -0.131135091,
            -0.132107824,
            -0.133080557,
            -0.13405329,
            -0.135026023,
            -0.135998756,
            -0.136971489,
            -0.137944236,
            -0.138916969,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139629275,
            -0.140358835,
            -0.141088381,
            -0.141817927,
            -0.142547473,
            -0.143277034,
            -0.14400658,
            -0.144736126,
            -0.145465672,
            -0.146195233,
            -0.146924779,
            -0.147654325,
            -0.148383871,
            -0.149113432,
            -0.149842978,
            -0.150572523,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150750607,
            -0.150021061,
            -0.1492915,
            -0.148561954,
            -0.147832409,
            -0.147102863,
            -0.146373302,
            -0.145643756,
            -0.14491421,
            -0.144184664,
            -0.143455103,
            -0.142725557,
            -0.141996011,
            -0.141266465,
            -0.140536904,
            -0.139807358,
            -0.139031857,
            -0.138059124,
            -0.137086391,
            -0.136113644,
            -0.135140911,
            -0.134168178,
            -0.133195445,
            -0.132222712,
            -0.131249979,
            -0.130277246,
            -0.129304513,
            -0.12833178,
            -0.127359033,
            -0.1263863,
            -0.125413567,
            -0.124440834,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123029605,
            -0.122300051,
            -0.121570498,
            -0.120840952,
            -0.120111398,
            -0.119381845,
            -0.118652292,
            -0.117922746,
            -0.117193192,
            -0.116463639,
            -0.115734085,
            -0.115004539,
            -0.114274986,
            -0.113545433,
            -0.112815887,
            -0.112086333,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11144869,
            -0.110719144,
            -0.109989598,
            -0.109260052,
            -0.108530506,
            -0.107800953,
            -0.107071407,
            -0.106341861,
            -0.105612315,
            -0.104882762,
            -0.104153216,
            -0.10342367,
            -0.102694124,
            -0.101964571,
            -0.101235025,
            -0.100505479,
            -0.0997759327,
            -0.0990463793,
            -0.0983168334,
            -0.09758728,
            -0.096857734,
            -0.0961281806,
            -0.0953986347,
            -0.0946690813,
            -0.0939395353,
            -0.0932099819,
            -0.092480436,
            -0.0917508826,
            -0.0910213366,
            -0.0902917832,
            -0.0895622373,
            -0.0888326839,
            -0.0881031379,
            -0.0873735845,
            -0.0866440386,
            -0.0859144852,
            -0.0851849392,
            -0.0844553858,
            -0.0837258399,
            -0.0829962865,
            -0.0822667405,
            -0.0815371871,
            -0.0808076411,
            -0.0800780877,
            -0.0793485418,
            -0.0786189884,
            -0.0778894424,
            -0.077159889,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0771484002,
            -0.0778779536,
            -0.0786074996,
            -0.079337053,
            -0.080066599,
            -0.0807961524,
            -0.0815256983,
            -0.0822552517,
            -0.0829847977,
            -0.0837143511,
            -0.084443897,
            -0.0851734504,
            -0.0859029964,
            -0.0866325498,
            -0.0873620957,
            -0.0880916491,
            -0.0888211951,
            -0.0895507485,
            -0.0902802944,
            -0.0910098478,
            -0.0917393938,
            -0.0924689472,
            -0.0931984931,
            -0.0939280465,
            -0.0946575925,
            -0.0953871459,
            -0.0961166918,
            -0.0968462452,
            -0.0975757912,
            -0.0983053446,
            -0.0990348905,
            -0.0997644365,
            -0.10049399,
            -0.101223536,
            -0.101953082,
            -0.102682635,
            -0.103412181,
            -0.104141727,
            -0.104871273,
            -0.105600819,
            -0.106330372,
            -0.107059918,
            -0.107789464,
            -0.108519018,
            -0.109248564,
            -0.10997811,
            -0.110707656,
            -0.111437201,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111454435,
            -0.110724889,
            -0.109995343,
            -0.109265797,
            -0.108536243,
            -0.107806697,
            -0.107077152,
            -0.106347606,
            -0.10561806,
            -0.104888506,
            -0.10415896,
            -0.103429414,
            -0.102699868,
            -0.101970315,
            -0.101240769,
            -0.100511223,
            -0.0995633826,
            -0.0981042832,
            -0.0966451839,
            -0.0951860845,
            -0.0937269852,
            -0.0922678858,
            -0.0908087865,
            -0.0893496871,
            -0.0878905877,
            -0.0864314884,
            -0.084972389,
            -0.0835132897,
            -0.0820541978,
            -0.080595091,
            -0.0791359991,
            -0.0776768923,
            -0.0763020515,
            -0.0753293186,
            -0.0743565857,
            -0.0733838528,
            -0.0724111199,
            -0.071438387,
            -0.0704656541,
            -0.0694929212,
            -0.0685201883,
            -0.0675474554,
            -0.0665747225,
            -0.0656019896,
            -0.0646292567,
            -0.0636565238,
            -0.0626837909,
            -0.061711058,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0602040887,
            -0.059474539,
            -0.0587449893,
            -0.0580154397,
            -0.05728589,
            -0.0565563403,
            -0.0558267906,
            -0.055097241,
            -0.0543676913,
            -0.0536381416,
            -0.0529085919,
            -0.0521790422,
            -0.0514494926,
            -0.0507199429,
            -0.0499903932,
            -0.0492608435,
            -0.0485312939,
            -0.0478017442,
            -0.0470721945,
            -0.0463426448,
            -0.0456130952,
            -0.0448835455,
            -0.0441539958,
            -0.0434244461,
            -0.0426948965,
            -0.0419653468,
            -0.0412357971,
            -0.0405062474,
            -0.0397766978,
            -0.0390471481,
            -0.0383175984,
            -0.0375880487,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0375593267,
            -0.0382888764,
            -0.0390184261,
            -0.0397479758,
            -0.0404775254,
            -0.0412070751,
            -0.0419366248,
            -0.0426661745,
            -0.0433957241,
            -0.0441252738,
            -0.0448548235,
            -0.0455843732,
            -0.0463139229,
            -0.0470434725,
            -0.0477730222,
            -0.0485025719,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0488989428,
            -0.0481693931,
            -0.0474398434,
            -0.0467102937,
            -0.0459807441,
            -0.0452511944,
            -0.0445216447,
            -0.043792095,
            -0.0430625454,
            -0.0423329957,
            -0.041603446,
            -0.0408738963,
            -0.0401443467,
            -0.039414797,
            -0.0386852473,
            -0.0379556976,
            -0.0372261479,
            -0.0364965983,
            -0.0357670486,
            -0.0350374989,
            -0.0343079492,
            -0.0335783996,
            -0.0328488499,
            -0.0321193002,
            -0.0313897505,
            -0.0306602009,
            -0.0299306512,
            -0.0292011015,
            -0.0284715518,
            -0.0277420022,
            -0.0270124525,
            -0.0262829028,
            -0.0255533531,
            -0.0239353236,
            -0.022233041,
            -0.0205307603,
            -0.0188284777,
            -0.0171261951,
            -0.0154239126,
            -0.01372163,
            -0.0120193474,
            -0.0103170648,
            -0.00861478224,
            -0.00691249967,
            -0.00521021895,
            -0.00350793637,
            -0.0018056538,
            -0.000103371218,
            0.00159891136,
            0.00253526261,
            0.00326481205,
            0.0039943615,
            0.00472391117,
            0.00545346085,
            0.00618301053,
            0.0069125602,
            0.00764210941,
            0.00837165862,
            0.0091012083,
            0.00983075798,
            0.0105603077,
            0.0112898573,
            0.012019407,
            0.0127489567,
            0.0134785064,
            0.014208056,
            0.0149376057,
            0.0156671554,
            0.0163967051,
            0.0171262547,
            0.0178558044,
            0.0185853541,
            0.0193149038,
            0.0200444534,
            0.0207740031,
            0.0215035528,
            0.0222331025,
            0.0229626521,
            0.0236922018,
            0.0244217515,
            0.0251512993,
            0.025880849,
            0.0266103987,
            0.0273399483,
            0.028069498,
            0.0287990477,
            0.0295285974,
            0.030258147,
            0.0309876967,
            0.0317172445,
            0.0324467942,
            0.0331763439,
            0.0339058936,
            0.0346354432,
            0.0353649929,
            0.0360945426,
            0.0368240923,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0370481275,
            0.0363185778,
            0.0355890281,
            0.0348594785,
            0.0341299288,
            0.0334003791,
            0.0326708294,
            0.0319412798,
            0.031211732,
            0.0304821823,
            0.0297526326,
            0.0290230829,
            0.0282935333,
            0.0275639836,
            0.0268344339,
            0.0261048842,
            0.0253753345,
            0.0246457849,
            0.0239162352,
            0.0231866855,
            0.0224571358,
            0.0217275862,
            0.0209980365,
            0.0202684887,
            0.019538939,
            0.0188093893,
            0.0180798396,
            0.01735029,
            0.0166207403,
            0.0158911906,
            0.01516164,
            0.0144320913,
            0.0137484968,
            0.0144780464,
            0.0152075961,
            0.0159371458,
            0.0166666955,
            0.0173962452,
            0.0181257948,
            0.0188553445,
            0.0195848942,
            0.0203144439,
            0.0210439935,
            0.0217735432,
            0.0225030929,
            0.0232326426,
            0.0239621922,
            0.0246917419,
            0.0254212916,
            0.0268114563,
            0.0282705557,
            0.0297296531,
            0.0311887525,
            0.0326478519,
            0.0341069512,
            0.0355660506,
            0.0370251499,
            0.0384842493,
            0.0399433486,
            0.041402448,
            0.0428615473,
            0.0443206467,
            0.045779746,
            0.0472388417,
            0.048697941,
            0.0495883375,
            0.0503178872,
            0.0510474369,
            0.0517769866,
            0.0525065362,
            0.0532360859,
            0.0539656356,
            0.0546951853,
            0.055424735,
            0.0561542846,
            0.0568838343,
            0.057613384,
            0.0583429337,
            0.0590724833,
            0.059802033,
            0.0605315827,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0604913719,
            0.0597618222,
            0.0590322725,
            0.0583027229,
            0.0575731732,
            0.0568436235,
            0.0561140738,
            0.0553845242,
            0.0546549745,
            0.0539254248,
            0.0531958751,
            0.0524663255,
            0.0517367758,
            0.0510072261,
            0.0502776764,
            0.0495481268,
            0.0488185771,
            0.0480890274,
            0.0473594777,
            0.0466299281,
            0.0459003784,
            0.0451708287,
            0.044441279,
            0.0437117293,
            0.0429821797,
            0.04225263,
            0.0415230803,
            0.0407935306,
            0.0400639847,
            0.0393344313,
            0.0386048853,
            0.0378753319,
            0.037145786,
            0.0364162363,
            0.0356866866,
            0.034957137,
            0.0342275873,
            0.0334980376,
            0.0327684879,
            0.0320389383,
            0.0313093886,
            0.0305798389,
            0.0298502892,
            0.0291207395,
            0.0283911899,
            0.0276616402,
            0.0269320905,
            0.0262025408,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.026145095,
            0.0268746447,
            0.0276041944,
            0.028333744,
            0.0290632937,
            0.0297928434,
            0.0305223931,
            0.0312519446,
            0.0319814906,
            0.032711044,
            0.0334405899,
            0.0341701433,
            0.0348996893,
            0.0356292389,
            0.0363587886,
            0.0370883383,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0377259776,
            0.0384555273,
            0.039185077,
            0.0399146266,
            0.0406441763,
            0.041373726,
            0.0421032757,
            0.0428328253,
            0.043562375,
            0.0442919247,
            0.0450214744,
            0.045751024,
            0.0464805737,
            0.0472101197,
            0.0479396731,
            0.048669219,
            0.0493987724,
            0.0501283221,
            0.0508578718,
            0.0515874177,
            0.0523169674,
            0.0530465171,
            0.0537760668,
            0.0545056164,
            0.0552351661,
            0.0559647158,
            0.0566942655,
            0.0574238151,
            0.0581533648,
            0.0588829145,
            0.0596124642,
            0.0603420138,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0605890267,
            0.059859477,
            0.0591299273,
            0.0584003776,
            0.057670828,
            0.0569412783,
            0.0562117286,
            0.0554821789,
            0.0547526293,
            0.0540230796,
            0.0532935336,
            0.0525639802,
            0.0518344343,
            0.0511048809,
            0.0503753349,
            0.0496457815,
            0.0489162356,
            0.0481866859,
            0.0474571362,
            0.0467275865,
            0.0459980369,
            0.0452684872,
            0.0445389375,
            0.0438093878,
            0.0430798382,
            0.0423502885,
            0.0416207388,
            0.0408911891,
            0.0401616395,
            0.0394320898,
            0.0387025401,
            0.0379729904,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0366977155,
            0.0359681658,
            0.0352386162,
            0.0345090665,
            0.0337795168,
            0.0330499671,
            0.0323204175,
            0.0315908678,
            0.0308613181,
            0.0301317684,
            0.0294022188,
            0.0286726691,
            0.0279431194,
            0.0272135697,
            0.0264840201,
            0.0257544704,
            0.0250249207,
            0.024295371,
            0.0235658213,
            0.0228362717,
            0.022106722,
            0.0213771723,
            0.0206476226,
            0.019918073,
            0.0191885233,
            0.0184589736,
            0.0177294258,
            0.0169998743,
            0.0162703265,
            0.0155407768,
            0.0148112271,
            0.0140816774,
            0.0140989106,
            0.0148284603,
            0.01555801,
            0.0162875596,
            0.0170171093,
            0.017746659,
            0.0184762087,
            0.0192057583,
            0.019935308,
            0.0206648558,
            0.0213944055,
            0.0221239552,
            0.0228535049,
            0.0235830545,
            0.0243126042,
            0.0250421539,
            0.0257717036,
            0.0265012532,
            0.0272308029,
            0.0279603526,
            0.0286899023,
            0.029419452,
            0.0301490016,
            0.0308785513,
            0.031608101,
            0.0323376507,
            0.0330672003,
            0.03379675,
            0.0345262997,
            0.0352558494,
            0.035985399,
            0.0367149487,
            0.0374444984,
            0.0381740481,
            0.0389035977,
            0.0396331474,
            0.0403626971,
            0.0410922468,
            0.0418217964,
            0.0425513461,
            0.0432808958,
            0.0440104455,
            0.0447399914,
            0.0454695448,
            0.0461990908,
            0.0469286442,
            0.0476581901,
            0.0483877435,
            0.0491172895,
            0.0498468392,
            0.0505763888,
            0.0513059385,
            0.0520354882,
            0.0527650379,
            0.0534945875,
            0.0542241372,
            0.0549536869,
            0.0556832366,
            0.0564127862,
            0.0571423359,
            0.0578718856,
            0.0586014353,
            0.059330985,
            0.0600605346,
            0.0607919991,
            0.061764732,
            0.0627374649,
            0.0637101978,
            0.0646829307,
            0.0656556636,
            0.0666283965,
            0.0676011294,
            0.0685738623,
            0.0695465952,
            0.0705193281,
            0.071492061,
            0.0724647939,
            0.0734375268,
            0.0744102597,
            0.0753829926,
            0.0763557255,
            0.0771139935,
            0.0778435469,
            0.0785730928,
            0.0793026462,
            0.0800321922,
            0.0807617456,
            0.0814912915,
            0.0822208449,
            0.0829503909,
            0.0836799443,
            0.0844094902,
            0.0851390436,
            0.0858685896,
            0.086598143,
            0.0873276889,
            0.0880572423,
            0.0887867883,
            0.0895163417,
            0.0902458876,
            0.090975441,
            0.091704987,
            0.0924345404,
            0.0931640863,
            0.0938936397,
            0.0946231857,
            0.0953527391,
            0.096082285,
            0.096811831,
            0.0975413844,
            0.0982709378,
            0.0990004838,
            0.0997300297,
            0.100459583,
            0.101189129,
            0.101918682,
            0.102648228,
            0.103377782,
            0.104107328,
            0.104836881,
            0.105566427,
            0.106295981,
            0.107025526,
            0.10775508,
            0.108484626,
            0.109214179,
            0.109943725,
            0.110673279,
            0.111402825,
            0.112132378,
            0.112861924,
            0.113591477,
            0.114321023,
            0.115050577,
            0.115780123,
            0.116509676,
            0.117239222,
            0.117968775,
            0.118698321,
            0.119427875,
            0.120157421,
            0.120886974,
            0.12161652,
            0.122346073,
            0.123075619,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123345613,
            0.12261606,
            0.121886514,
            0.121156961,
            0.120427415,
            0.119697861,
            0.118968315,
            0.118238762,
            0.117509216,
            0.116779663,
            0.116050117,
            0.115320563,
            0.114591017,
            0.113861464,
            0.113131918,
            0.112402365,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729
          ],
          [
            0.100000024,
            0.10072957,
            0.101459123,
            0.102188669,
            0.102918223,
            0.103647768,
            0.104377322,
            0.105106868,
            0.105836421,
            0.106565967,
            0.107295521,
            0.108025067,
            0.10875462,
            0.109484166,
            0.110213719,
            0.110943265,
            0.111672819,
            0.112402365,
            0.113131918,
            0.113861464,
            0.114591017,
            0.115320563,
            0.116050117,
            0.116779663,
            0.117509216,
            0.118238762,
            0.118968315,
            0.119697861,
            0.120427415,
            0.121156961,
            0.121886514,
            0.12261606,
            0.123345613,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.12316753,
            0.122437984,
            0.12170843,
            0.120978884,
            0.120249331,
            0.119519785,
            0.118790232,
            0.118060686,
            0.117331132,
            0.116601586,
            0.115872033,
            0.115142487,
            0.114412934,
            0.113683388,
            0.112953834,
            0.112224288,
            0.111494735,
            0.110765189,
            0.110035636,
            0.10930609,
            0.108576536,
            0.10784699,
            0.107117444,
            0.106387891,
            0.105658345,
            0.104928792,
            0.104199246,
            0.103469692,
            0.102740146,
            0.102010593,
            0.101281047,
            0.100551493,
            0.1001781,
            0.100907654,
            0.1016372,
            0.102366753,
            0.103096299,
            0.103825852,
            0.104555398,
            0.105284952,
            0.106014498,
            0.106744051,
            0.107473597,
            0.10820315,
            0.108932696,
            0.10966225,
            0.110391796,
            0.111121349,
            0.111678563,
            0.11094901,
            0.110219464,
            0.10948991,
            0.108760364,
            0.108030811,
            0.107301265,
            0.106571712,
            0.105842166,
            0.105112612,
            0.104383066,
            0.10365352,
            0.102923967,
            0.102194414,
            0.101464868,
            0.100735322,
            0.100005768,
            0.0992762223,
            0.0985466689,
            0.0978171229,
            0.0970875695,
            0.0963580236,
            0.0956284702,
            0.0948989242,
            0.0941693708,
            0.0934398249,
            0.0927102715,
            0.0919807255,
            0.0912511721,
            0.0905216262,
            0.0897920728,
            0.0890625268,
            0.0883329734,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0877872482,
            0.0870577022,
            0.0863281488,
            0.0855986029,
            0.0848690495,
            0.0841395035,
            0.0834099501,
            0.0826804042,
            0.0819508508,
            0.0812213048,
            0.0804917514,
            0.0797622055,
            0.0790326521,
            0.0783031061,
            0.0775735527,
            0.0768440068,
            0.0768267736,
            0.0775563195,
            0.0782858729,
            0.0790154189,
            0.0797449723,
            0.0804745182,
            0.0812040716,
            0.0819336176,
            0.082663171,
            0.0833927169,
            0.0841222703,
            0.0848518163,
            0.0855813697,
            0.0863109156,
            0.0870404691,
            0.087770015,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0883157402,
            0.0890452936,
            0.0897748396,
            0.090504393,
            0.0912339389,
            0.0919634923,
            0.0926930383,
            0.0934225917,
            0.0941521376,
            0.094881691,
            0.095611237,
            0.0963407904,
            0.0970703363,
            0.0977998823,
            0.0985294357,
            0.0992589891,
            0.099988535,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100626171,
            0.101355724,
            0.10208527,
            0.102814823,
            0.103544369,
            0.104273923,
            0.105003469,
            0.105733022,
            0.106462568,
            0.107192121,
            0.107921667,
            0.108651221,
            0.109380767,
            0.11011032,
            0.110839866,
            0.11156942,
            0.112298965,
            0.113028519,
            0.113758065,
            0.114487618,
            0.115217164,
            0.11594671,
            0.116676264,
            0.117405817,
            0.118135363,
            0.118864909,
            0.119594462,
            0.120324016,
            0.121053562,
            0.121783108,
            0.122512661,
            0.123242207,
            0.1241192,
            0.12509194,
            0.126064673,
            0.127037406,
            0.128010139,
            0.128982872,
            0.129955605,
            0.130928338,
            0.13190107,
            0.132873803,
            0.133846521,
            0.134819269,
            0.135791987,
            0.136764735,
            0.137737453,
            0.138710201,
            0.139916539,
            0.141375646,
            0.142834738,
            0.144293845,
            0.145752952,
            0.147212058,
            0.14867115,
            0.150130257,
            0.151589364,
            0.153048456,
            0.154507563,
            0.155966669,
            0.157425776,
            0.158884868,
            0.160343975,
            0.161803082,
            0.163003683,
            0.163733229,
            0.164462775,
            0.165192321,
            0.165921867,
            0.166651413,
            0.167380959,
            0.168110505,
            0.168840051,
            0.169569597,
            0.170299143,
            0.171028689,
            0.171758235,
            0.17248778,
            0.173217326,
            0.173946872,
            0.174676418,
            0.175405964,
            0.17613551,
            0.176865056,
            0.177594617,
            0.178324163,
            0.179053709,
            0.179783255,
            0.180512816,
            0.181242362,
            0.181971908,
            0.182701454,
            0.183431014,
            0.18416056,
            0.184890106,
            0.185619652,
            0.186374098,
            0.187346831,
            0.188319579,
            0.189292312,
            0.190265045,
            0.191237777,
            0.192210525,
            0.193183258,
            0.194155991,
            0.195128724,
            0.196101457,
            0.197074205,
            0.198046938,
            0.19901967,
            0.199992418,
            0.200965151,
            0.201937884,
            0.201011106,
            0.200038373,
            0.199065626,
            0.198092893,
            0.19712016,
            0.196147427,
            0.195174679,
            0.194201946,
            0.193229213,
            0.19225648,
            0.191283733,
            0.190311,
            0.189338267,
            0.188365534,
            0.187392786,
            0.186420053,
            0.185654119,
            0.184924573,
            0.184195027,
            0.183465481,
            0.18273592,
            0.182006374,
            0.181276828,
            0.180547282,
            0.179817721,
            0.179088175,
            0.178358629,
            0.177629083,
            0.176899523,
            0.176169977,
            0.175440431,
            0.174710885,
            0.173981339,
            0.173251793,
            0.172522247,
            0.171792701,
            0.171063155,
            0.170333609,
            0.169604063,
            0.168874517,
            0.168144971,
            0.167415425,
            0.166685879,
            0.165956333,
            0.165226787,
            0.164497241,
            0.163767695,
            0.163038149,
            0.162308589,
            0.161579043,
            0.160849482,
            0.160119936,
            0.159390375,
            0.158660829,
            0.157931268,
            0.157201722,
            0.156472161,
            0.155742615,
            0.155013055,
            0.154283509,
            0.153553963,
            0.152824402,
            0.152094841,
            0.151365295,
            0.150635749,
            0.149906188,
            0.149176642,
            0.148447096,
            0.14771755,
            0.14698799,
            0.146258444,
            0.145528898,
            0.144799352,
            0.144069791,
            0.143340245,
            0.142610699,
            0.141881153,
            0.141151607,
            0.140422046,
            0.1396925,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139554635,
            0.140284181,
            0.141013727,
            0.141743287,
            0.142472833,
            0.143202379,
            0.143931925,
            0.144661486,
            0.145391032,
            0.146120578,
            0.146850124,
            0.14757967,
            0.148309231,
            0.149038777,
            0.149768323,
            0.150497884,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151135519,
            0.151865065,
            0.152594626,
            0.153324172,
            0.154053733,
            0.154783279,
            0.15551284,
            0.156242386,
            0.156971946,
            0.157701492,
            0.158431053,
            0.159160599,
            0.15989016,
            0.160619706,
            0.161349267,
            0.162078813,
            0.162808374,
            0.16353792,
            0.164267465,
            0.164997011,
            0.165726557,
            0.166456103,
            0.167185649,
            0.167915195,
            0.168644726,
            0.169374287,
            0.170103818,
            0.170833379,
            0.17156291,
            0.172292471,
            0.173022002,
            0.173751563,
            0.174481094,
            0.173809007,
            0.173079461,
            0.172349915,
            0.171620369,
            0.170890823,
            0.170161277,
            0.169431731,
            0.168702185,
            0.167972639,
            0.167243093,
            0.166513547,
            0.165784001,
            0.165054455,
            0.164324909,
            0.163595363,
            0.162865818,
            0.162136257,
            0.161406711,
            0.16067715,
            0.159947604,
            0.159218043,
            0.158488497,
            0.157758936,
            0.15702939,
            0.156299829,
            0.155570284,
            0.154840723,
            0.154111177,
            0.153381616,
            0.15265207,
            0.151922509,
            0.151192963,
            0.149774075,
            0.148071796,
            0.146369502,
            0.144667223,
            0.142964944,
            0.141262665,
            0.139560372,
            0.137858093,
            0.136155814,
            0.134453535,
            0.132751241,
            0.131048962,
            0.129346684,
            0.127644405,
            0.125942111,
            0.124239832,
            0.123104341,
            0.122374795,
            0.121645242,
            0.120915696,
            0.120186143,
            0.119456597,
            0.118727043,
            0.117997497,
            0.117267944,
            0.116538398,
            0.115808845,
            0.115079299,
            0.114349745,
            0.113620199,
            0.112890646,
            0.1121611,
            0.111431547,
            0.110702001,
            0.109972447,
            0.109242901,
            0.108513348,
            0.107783802,
            0.107054248,
            0.106324703,
            0.105595149,
            0.104865603,
            0.10413605,
            0.103406504,
            0.102676958,
            0.101947404,
            0.101217851,
            0.100488305,
            0.099517487,
            0.0980583876,
            0.0965992883,
            0.0951401889,
            0.0936810896,
            0.0922219902,
            0.0907628909,
            0.0893037915,
            0.0878446922,
            0.0863855928,
            0.0849264935,
            0.0834673941,
            0.0820082948,
            0.0805491954,
            0.0790900961,
            0.0776309967,
            0.0761221126,
            0.0744198337,
            0.0727175474,
            0.0710152686,
            0.0693129823,
            0.0676107034,
            0.0659084171,
            0.0642061383,
            0.0625038594,
            0.0608015731,
            0.0590992905,
            0.0573970079,
            0.0556947254,
            0.0539924428,
            0.0522901639,
            0.0505878776,
            0.0488472991,
            0.04665865,
            0.0444700047,
            0.042281352,
            0.0400927067,
            0.0379040577,
            0.0357154086,
            0.0335267596,
            0.0313381106,
            0.0291494615,
            0.0269608125,
            0.0247721635,
            0.0225835145,
            0.0203948654,
            0.0182062183,
            0.0160175674,
            0.0138289183,
            0.0130304368,
            0.0123008871,
            0.0115713375,
            0.0108417878,
            0.0101122381,
            0.00938268844,
            0.00865313876,
            0.00792359002,
            0.00719403988,
            0.0064644902,
            0.00573494099,
            0.00500539131,
            0.00427584164,
            0.00354629196,
            0.00281674229,
            0.00208719261,
            0.000553415157,
            -0.00114886719,
            -0.00285114953,
            -0.00455343211,
            -0.00625571422,
            -0.0079579968,
            -0.00966027938,
            -0.011362561,
            -0.0130648436,
            -0.0147671252,
            -0.0164694078,
            -0.0181716904,
            -0.019873973,
            -0.0215762556,
            -0.0232785381,
            -0.0249808207,
            -0.0265126824,
            -0.0279717818,
            -0.0294308811,
            -0.0308899805,
            -0.0323490798,
            -0.0338081792,
            -0.0352672786,
            -0.0367263779,
            -0.0381854773,
            -0.0396445766,
            -0.041103676,
            -0.0425627753,
            -0.0440218747,
            -0.045480974,
            -0.0469400734,
            -0.0483991727,
            -0.0504174009,
            -0.0528492332,
            -0.0552810654,
            -0.0577128977,
            -0.0601447299,
            -0.0625765622,
            -0.065008387,
            -0.0674402267,
            -0.0698720515,
            -0.0723038912,
            -0.074735716,
            -0.0771675557,
            -0.0795993805,
            -0.0820312202,
            -0.084463045,
            -0.0868948847,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0884707794,
            -0.0892003328,
            -0.0899298787,
            -0.0906594321,
            -0.0913889781,
            -0.0921185315,
            -0.0928480774,
            -0.0935776308,
            -0.0943071768,
            -0.0950367302,
            -0.0957662761,
            -0.0964958295,
            -0.0972253755,
            -0.0979549289,
            -0.0986844748,
            -0.0994140282,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100103363,
            -0.101562463,
            -0.103021562,
            -0.104480661,
            -0.105939761,
            -0.10739886,
            -0.10885796,
            -0.110317059,
            -0.111776158,
            -0.113235258,
            -0.114694357,
            -0.116153456,
            -0.117612556,
            -0.119071655,
            -0.120530754,
            -0.121989854,
            -0.123448953,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.124080844,
            -0.125053585,
            -0.126026317,
            -0.12699905,
            -0.127971783,
            -0.128944516,
            -0.129917249,
            -0.130889982,
            -0.13186273,
            -0.132835463,
            -0.133808196,
            -0.134780928,
            -0.135753661,
            -0.136726394,
            -0.137699127,
            -0.13867186,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139031857,
            -0.138059124,
            -0.137086391,
            -0.136113644,
            -0.135140911,
            -0.134168178,
            -0.133195445,
            -0.132222712,
            -0.131249979,
            -0.130277246,
            -0.129304513,
            -0.12833178,
            -0.127359033,
            -0.1263863,
            -0.125413567,
            -0.124440834,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.122845776,
            -0.12211623,
            -0.121386677,
            -0.120657124,
            -0.11992757,
            -0.119198024,
            -0.118468471,
            -0.117738917,
            -0.117009372,
            -0.116279818,
            -0.115550265,
            -0.114820711,
            -0.114091158,
            -0.113361612,
            -0.112632059,
            -0.111902505,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11126487,
            -0.110535324,
            -0.109805778,
            -0.109076224,
            -0.108346678,
            -0.107617132,
            -0.106887586,
            -0.106158033,
            -0.105428487,
            -0.104698941,
            -0.103969395,
            -0.103239849,
            -0.102510296,
            -0.10178075,
            -0.101051204,
            -0.100321651,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0996840149,
            -0.098954469,
            -0.0982249156,
            -0.0974953696,
            -0.0967658162,
            -0.0960362703,
            -0.0953067169,
            -0.0945771709,
            -0.0938476175,
            -0.0931180716,
            -0.0923885256,
            -0.0916589722,
            -0.0909294188,
            -0.0901998729,
            -0.0894703269,
            -0.0887407735,
            -0.0877125114,
            -0.0860102251,
            -0.0843079463,
            -0.08260566,
            -0.0809033811,
            -0.0792011023,
            -0.077498816,
            -0.0757965371,
            -0.0740942508,
            -0.0723919719,
            -0.0706896856,
            -0.0689874068,
            -0.0672851205,
            -0.0655828416,
            -0.0638805553,
            -0.0621782765,
            -0.0606521554,
            -0.0599226058,
            -0.0591930598,
            -0.0584635064,
            -0.0577339604,
            -0.0570044108,
            -0.0562748611,
            -0.0555453114,
            -0.0548157617,
            -0.0540862121,
            -0.0533566624,
            -0.0526271127,
            -0.051897563,
            -0.0511680134,
            -0.0504384637,
            -0.049708914,
            -0.0490597859,
            -0.0497893356,
            -0.0505188853,
            -0.0512484349,
            -0.0519779846,
            -0.0527075343,
            -0.053437084,
            -0.0541666336,
            -0.0548961833,
            -0.055625733,
            -0.0563552827,
            -0.0570848323,
            -0.057814382,
            -0.0585439317,
            -0.0592734814,
            -0.060003031,
            -0.0607325807,
            -0.0616880804,
            -0.0626608133,
            -0.0636335462,
            -0.0646062791,
            -0.065579012,
            -0.0665517449,
            -0.0675244778,
            -0.0684972107,
            -0.0694699436,
            -0.0704426765,
            -0.0714154094,
            -0.0723881423,
            -0.0733608752,
            -0.0743336082,
            -0.0753063411,
            -0.076279074,
            -0.0770564899,
            -0.0777860433,
            -0.0785155892,
            -0.0792451426,
            -0.0799746886,
            -0.080704242,
            -0.0814337879,
            -0.0821633413,
            -0.0828928873,
            -0.0836224407,
            -0.0843519866,
            -0.08508154,
            -0.085811086,
            -0.0865406394,
            -0.0872701854,
            -0.0879997313,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0879250541,
            -0.0871955082,
            -0.0864659548,
            -0.0857364088,
            -0.0850068554,
            -0.0842773095,
            -0.0835477561,
            -0.0828182101,
            -0.0820886567,
            -0.0813591108,
            -0.0806295574,
            -0.0799000114,
            -0.0791704655,
            -0.0784409121,
            -0.0777113587,
            -0.0769818127,
            -0.0761794969,
            -0.075206764,
            -0.0742340311,
            -0.0732612982,
            -0.0722885728,
            -0.0713158399,
            -0.070343107,
            -0.0693703741,
            -0.0683976412,
            -0.0674249083,
            -0.0664521754,
            -0.0654794425,
            -0.0645067096,
            -0.0635339767,
            -0.0625612438,
            -0.0615885071,
            -0.0606578998,
            -0.0599283502,
            -0.0591988042,
            -0.0584692545,
            -0.0577397048,
            -0.0570101552,
            -0.0562806055,
            -0.0555510558,
            -0.0548215061,
            -0.0540919565,
            -0.0533624068,
            -0.0526328571,
            -0.0519033074,
            -0.0511737578,
            -0.0504442081,
            -0.0497146584,
            -0.0489851087,
            -0.0482555591,
            -0.0475260094,
            -0.0467964597,
            -0.04606691,
            -0.0453373604,
            -0.0446078107,
            -0.043878261,
            -0.0431487113,
            -0.0424191616,
            -0.041689612,
            -0.0409600623,
            -0.0402305126,
            -0.0395009629,
            -0.0387714133,
            -0.0380418636,
            -0.0373123139,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0366746783,
            -0.0359451286,
            -0.035215579,
            -0.0344860293,
            -0.0337564796,
            -0.0330269299,
            -0.0322973803,
            -0.0315678306,
            -0.0308382809,
            -0.0301087312,
            -0.0293791816,
            -0.0286496319,
            -0.0279200822,
            -0.0271905325,
            -0.0264609829,
            -0.0257314332,
            -0.0250018835,
            -0.0242723338,
            -0.0235427842,
            -0.0228132345,
            -0.0220836848,
            -0.0213541351,
            -0.0206245854,
            -0.0198950358,
            -0.0191654861,
            -0.0184359364,
            -0.0177063867,
            -0.0169768371,
            -0.0162472874,
            -0.0155177386,
            -0.014788189,
            -0.0140586393,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0140299173,
            -0.014759467,
            -0.0154890167,
            -0.0162185654,
            -0.0169481151,
            -0.0176776648,
            -0.0184072144,
            -0.0191367641,
            -0.0198663138,
            -0.0205958635,
            -0.0213254131,
            -0.0220549628,
            -0.0227845125,
            -0.0235140622,
            -0.0242436118,
            -0.0249731615,
            -0.0257027112,
            -0.0264322609,
            -0.0271618105,
            -0.0278913602,
            -0.0286209099,
            -0.0293504596,
            -0.0300800093,
            -0.0308095589,
            -0.0315391086,
            -0.0322686583,
            -0.032998208,
            -0.0337277576,
            -0.0344573036,
            -0.035186857,
            -0.0359164029,
            -0.0366459563,
            -0.0371342376,
            -0.0364046879,
            -0.0356751382,
            -0.0349455886,
            -0.0342160389,
            -0.0334864892,
            -0.0327569395,
            -0.0320273899,
            -0.0312978402,
            -0.0305682905,
            -0.0298387408,
            -0.0291091911,
            -0.0283796415,
            -0.0276500918,
            -0.0269205421,
            -0.0261909924,
            -0.0254614428,
            -0.0247318931,
            -0.0240023434,
            -0.0232727937,
            -0.0225432441,
            -0.0218136944,
            -0.0210841447,
            -0.020354595,
            -0.0196250454,
            -0.0188954957,
            -0.018165946,
            -0.0174363963,
            -0.0167068467,
            -0.015977297,
            -0.0152477482,
            -0.0145181986,
            -0.0137886489,
            -0.0121706193,
            -0.0104683368,
            -0.00876605418,
            -0.00706377206,
            -0.00536148995,
            -0.00365920737,
            -0.0019569248,
            -0.000254642218,
            0.00144764036,
            0.00314992294,
            0.00485220551,
            0.00655448623,
            0.00825676881,
            0.00995905139,
            0.011661334,
            0.0133636165,
            0.0142999673,
            0.015029517,
            0.0157590676,
            0.0164886154,
            0.0172181651,
            0.0179477148,
            0.0186772645,
            0.0194068141,
            0.0201363638,
            0.0208659135,
            0.0215954632,
            0.0223250128,
            0.0230545625,
            0.0237841122,
            0.0245136619,
            0.0252432115,
            0.0259727612,
            0.0267023109,
            0.0274318606,
            0.0281614102,
            0.0288909599,
            0.0296205096,
            0.0303500593,
            0.0310796089,
            0.0318091586,
            0.0325387083,
            0.033268258,
            0.0339978077,
            0.0347273573,
            0.035456907,
            0.0361864567,
            0.0369160026,
            0.037645556,
            0.0383751057,
            0.0391046554,
            0.0398342013,
            0.0405637547,
            0.0412933007,
            0.0420228541,
            0.0427524,
            0.0434819497,
            0.0442114994,
            0.0449410491,
            0.0456705987,
            0.0464001484,
            0.0471296981,
            0.0478592478,
            0.0485887975,
            0.0487209223,
            0.0479913726,
            0.047261823,
            0.0465322733,
            0.0458027236,
            0.0450731739,
            0.0443436243,
            0.0436140746,
            0.0428845249,
            0.0421549752,
            0.0414254256,
            0.0406958759,
            0.0399663262,
            0.0392367765,
            0.0385072269,
            0.0377776772,
            0.0370481275,
            0.0363185778,
            0.0355890281,
            0.0348594785,
            0.0341299288,
            0.0334003791,
            0.0326708294,
            0.0319412798,
            0.031211732,
            0.0304821823,
            0.0297526326,
            0.0290230829,
            0.0282935333,
            0.0275639836,
            0.0268344339,
            0.0261048842,
            0.0253753345,
            0.0246457849,
            0.0239162352,
            0.0231866855,
            0.0224571358,
            0.0217275862,
            0.0209980365,
            0.0202684887,
            0.019538939,
            0.0188093893,
            0.0180798396,
            0.01735029,
            0.0166207403,
            0.0158911906,
            0.01516164,
            0.0144320913,
            0.0137484968,
            0.0144780464,
            0.0152075961,
            0.0159371458,
            0.0166666955,
            0.0173962452,
            0.0181257948,
            0.0188553445,
            0.0195848942,
            0.0203144439,
            0.0210439935,
            0.0217735432,
            0.0225030929,
            0.0232326426,
            0.0239621922,
            0.0246917419,
            0.0254212916,
            0.0261508394,
            0.0268803891,
            0.0276099388,
            0.0283394884,
            0.0290690381,
            0.0297985878,
            0.0305281375,
            0.031257689,
            0.031987235,
            0.0327167884,
            0.0334463343,
            0.0341758877,
            0.0349054337,
            0.0356349871,
            0.036364533,
            0.0370940827,
            0.0378236324,
            0.038553182,
            0.0392827317,
            0.0400122814,
            0.0407418311,
            0.0414713807,
            0.0422009304,
            0.0429304801,
            0.0436600298,
            0.0443895794,
            0.0451191291,
            0.0458486788,
            0.0465782285,
            0.0473077781,
            0.0480373278,
            0.0487668775,
            0.0494964272,
            0.0502259769,
            0.0509555265,
            0.0516850762,
            0.0524146259,
            0.0531441756,
            0.0538737252,
            0.0546032749,
            0.0553328246,
            0.0560623743,
            0.0567919239,
            0.0575214736,
            0.0582510233,
            0.058980573,
            0.0597101226,
            0.0604396686,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0605832823,
            0.0598537326,
            0.0591241829,
            0.0583946332,
            0.0576650836,
            0.0569355339,
            0.0562059842,
            0.0554764345,
            0.0547468849,
            0.0540173352,
            0.0532877855,
            0.0525582358,
            0.0518286899,
            0.0510991365,
            0.0503695905,
            0.0496400371,
            0.0488013439,
            0.0473422445,
            0.0458831452,
            0.0444240458,
            0.0429649465,
            0.0415058471,
            0.0400467515,
            0.0385876521,
            0.0371285528,
            0.0356694534,
            0.0342103541,
            0.0327512547,
            0.0312921554,
            0.0298330542,
            0.0283739567,
            0.0269148573,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.026145095,
            0.0268746447,
            0.0276041944,
            0.028333744,
            0.0290632937,
            0.0297928434,
            0.0305223931,
            0.0312519446,
            0.0319814906,
            0.032711044,
            0.0334405899,
            0.0341701433,
            0.0348996893,
            0.0356292389,
            0.0363587886,
            0.0370883383,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0377259776,
            0.0384555273,
            0.039185077,
            0.0399146266,
            0.0406441763,
            0.041373726,
            0.0421032757,
            0.0428328253,
            0.043562375,
            0.0442919247,
            0.0450214744,
            0.045751024,
            0.0464805737,
            0.0472101197,
            0.0479396731,
            0.048669219,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0493068583,
            0.050036408,
            0.0507659577,
            0.0514955074,
            0.052225057,
            0.0529546067,
            0.0536841564,
            0.0544137061,
            0.0551432557,
            0.0558728054,
            0.0566023551,
            0.0573319048,
            0.0580614544,
            0.0587910041,
            0.0595205538,
            0.0602501035,
            0.0605890267,
            0.059859477,
            0.0591299273,
            0.0584003776,
            0.057670828,
            0.0569412783,
            0.0562117286,
            0.0554821789,
            0.0547526293,
            0.0540230796,
            0.0532935336,
            0.0525639802,
            0.0518344343,
            0.0511048809,
            0.0503753349,
            0.0496457815,
            0.0489162356,
            0.0481866859,
            0.0474571362,
            0.0467275865,
            0.0459980369,
            0.0452684872,
            0.0445389375,
            0.0438093878,
            0.0430798382,
            0.0423502885,
            0.0416207388,
            0.0408911891,
            0.0401616395,
            0.0394320898,
            0.0387025401,
            0.0379729904,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0366977155,
            0.0359681658,
            0.0352386162,
            0.0345090665,
            0.0337795168,
            0.0330499671,
            0.0323204175,
            0.0315908678,
            0.0308613181,
            0.0301317684,
            0.0294022188,
            0.0286726691,
            0.0279431194,
            0.0272135697,
            0.0264840201,
            0.0257544704,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0257717036,
            0.0265012532,
            0.0272308029,
            0.0279603526,
            0.0286899023,
            0.029419452,
            0.0301490016,
            0.0308785513,
            0.031608101,
            0.0323376507,
            0.0330672003,
            0.03379675,
            0.0345262997,
            0.0352558494,
            0.035985399,
            0.0367149487,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0373525843,
            0.038082134,
            0.0388116837,
            0.0395412333,
            0.040270783,
            0.0410003327,
            0.0417298824,
            0.042459432,
            0.0431889817,
            0.0439185314,
            0.0446480811,
            0.0453776307,
            0.0461071804,
            0.0468367301,
            0.0475662798,
            0.0482958294,
            0.0490253791,
            0.0497549288,
            0.0504844785,
            0.0512140281,
            0.0519435778,
            0.0526731275,
            0.0534026772,
            0.0541322269,
            0.0548617765,
            0.0555913262,
            0.0563208759,
            0.0570504256,
            0.0577799752,
            0.0585095249,
            0.0592390746,
            0.0599686243,
            0.0606981739,
            0.0616421849,
            0.0626149178,
            0.0635876507,
            0.0645603836,
            0.0655331165,
            0.0665058494,
            0.0674785823,
            0.0684513152,
            0.0694240481,
            0.070396781,
            0.0713695139,
            0.0723422468,
            0.0733149797,
            0.0742877126,
            0.0752604455,
            0.0762331784,
            0.0770220831,
            0.0777516365,
            0.0784811825,
            0.0792107359,
            0.0799402818,
            0.0806698352,
            0.0813993812,
            0.0821289346,
            0.0828584805,
            0.0835880339,
            0.0843175799,
            0.0850471258,
            0.0857766792,
            0.0865062326,
            0.0872357786,
            0.0879653245,
            0.0886948779,
            0.0894244239,
            0.0901539773,
            0.0908835232,
            0.0916130766,
            0.0923426226,
            0.093072176,
            0.0938017219,
            0.0945312753,
            0.0952608213,
            0.0959903747,
            0.0967199206,
            0.097449474,
            0.09817902,
            0.0989085734,
            0.0996381193,
            0.100367673,
            0.101097219,
            0.101826772,
            0.102556318,
            0.103285871,
            0.104015417,
            0.104744971,
            0.105474517,
            0.10620407,
            0.106933616,
            0.10766317,
            0.108392715,
            0.109122269,
            0.109851815,
            0.110581368,
            0.111310914,
            0.11148899,
            0.110759445,
            0.110029891,
            0.109300345,
            0.108570799,
            0.107841246,
            0.107111692,
            0.106382146,
            0.105652601,
            0.104923047,
            0.104193501,
            0.103463948,
            0.102734402,
            0.102004848,
            0.101275302,
            0.100545749,
            0.0998162031,
            0.0990866497,
            0.0983571038,
            0.0976275504,
            0.0968980044,
            0.096168451,
            0.0954389051,
            0.0947093517,
            0.0939798057,
            0.0932502523,
            0.0925207064,
            0.091791153,
            0.091061607,
            0.0903320536,
            0.0896025077,
            0.0888729542,
            0.088327229,
            0.0890567824,
            0.0897863284,
            0.0905158818,
            0.0912454277,
            0.0919749811,
            0.0927045271,
            0.0934340805,
            0.0941636264,
            0.0948931798,
            0.0956227258,
            0.0963522792,
            0.0970818251,
            0.0978113711,
            0.0985409245,
            0.0992704779
          ],
          [
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0888729542,
            0.0896025077,
            0.0903320536,
            0.091061607,
            0.091791153,
            0.0925207064,
            0.0932502523,
            0.0939798057,
            0.0947093517,
            0.0954389051,
            0.096168451,
            0.0968980044,
            0.0976275504,
            0.0983571038,
            0.0990866497,
            0.0998162031,
            0.100545749,
            0.101275302,
            0.102004848,
            0.102734402,
            0.103463948,
            0.104193501,
            0.104923047,
            0.105652601,
            0.106382146,
            0.107111692,
            0.107841246,
            0.108570799,
            0.109300345,
            0.110029891,
            0.110759445,
            0.111488998,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111402825,
            0.110673279,
            0.109943725,
            0.109214179,
            0.108484626,
            0.10775508,
            0.107025526,
            0.106295981,
            0.105566427,
            0.104836881,
            0.104107328,
            0.103377782,
            0.102648228,
            0.101918682,
            0.101189129,
            0.100459583,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0992762223,
            0.0985466689,
            0.0978171229,
            0.0970875695,
            0.0963580236,
            0.0956284702,
            0.0948989242,
            0.0941693708,
            0.0934398249,
            0.0927102715,
            0.0919807255,
            0.0912511721,
            0.0905216262,
            0.0897920728,
            0.0890625268,
            0.0883329734,
            0.0876034275,
            0.0868738741,
            0.0861443281,
            0.0854147747,
            0.0846852288,
            0.0839556754,
            0.0832261294,
            0.082496576,
            0.0817670301,
            0.0810374767,
            0.0803079307,
            0.0795783773,
            0.0788488314,
            0.078119278,
            0.077389732,
            0.0766601786,
            0.0757506415,
            0.0747779086,
            0.0738051757,
            0.0728324428,
            0.0718597099,
            0.070886977,
            0.0699142441,
            0.0689415112,
            0.0679687783,
            0.0669960454,
            0.0660233125,
            0.0650505796,
            0.0640778467,
            0.0631051138,
            0.0621323809,
            0.061159648,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0612592176,
            0.0622319505,
            0.0632046834,
            0.0641774163,
            0.0651501492,
            0.0661228821,
            0.067095615,
            0.0680683479,
            0.0690410808,
            0.0700138137,
            0.0709865466,
            0.0719592795,
            0.0729320124,
            0.0739047453,
            0.0748774782,
            0.0758502111,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0771886706,
            0.077918224,
            0.07864777,
            0.0793773234,
            0.0801068693,
            0.0808364227,
            0.0815659687,
            0.0822955221,
            0.083025068,
            0.0837546214,
            0.0844841674,
            0.0852137208,
            0.0859432667,
            0.0866728202,
            0.0874023661,
            0.0881319195,
            0.0888614655,
            0.0895910189,
            0.0903205648,
            0.0910501182,
            0.0917796642,
            0.0925092176,
            0.0932387635,
            0.0939683169,
            0.0946978629,
            0.0954274163,
            0.0961569622,
            0.0968865156,
            0.0976160616,
            0.098345615,
            0.0990751609,
            0.0998047143,
            0.101068497,
            0.102527596,
            0.103986695,
            0.105445795,
            0.106904894,
            0.108363993,
            0.109823093,
            0.111282192,
            0.112741292,
            0.114200391,
            0.11565949,
            0.11711859,
            0.118577689,
            0.120036788,
            0.121495888,
            0.122954987,
            0.1241192,
            0.12509194,
            0.126064673,
            0.127037406,
            0.128010139,
            0.128982872,
            0.129955605,
            0.130928338,
            0.13190107,
            0.132873803,
            0.133846521,
            0.134819269,
            0.135791987,
            0.136764735,
            0.137737453,
            0.138710201,
            0.139916539,
            0.141375646,
            0.142834738,
            0.144293845,
            0.145752952,
            0.147212058,
            0.14867115,
            0.150130257,
            0.151589364,
            0.153048456,
            0.154507563,
            0.155966669,
            0.157425776,
            0.158884868,
            0.160343975,
            0.161803082,
            0.163262174,
            0.16472128,
            0.166180372,
            0.167639464,
            0.169098556,
            0.170557663,
            0.172016755,
            0.173475847,
            0.174934939,
            0.176394045,
            0.177853137,
            0.179312229,
            0.180771321,
            0.182230413,
            0.18368952,
            0.185148612,
            0.186496645,
            0.187469393,
            0.188442126,
            0.189414859,
            0.190387592,
            0.191360325,
            0.192333072,
            0.193305805,
            0.194278538,
            0.195251271,
            0.196224019,
            0.197196752,
            0.198169485,
            0.199142218,
            0.200114965,
            0.201087698,
            0.202035546,
            0.202765092,
            0.203494638,
            0.204224184,
            0.20495373,
            0.205683276,
            0.206412822,
            0.207142368,
            0.207871914,
            0.208601445,
            0.209331006,
            0.210060537,
            0.210790098,
            0.211519629,
            0.21224919,
            0.212978721,
            0.213708282,
            0.213013202,
            0.212283656,
            0.21155411,
            0.210824564,
            0.210095018,
            0.209365472,
            0.208635926,
            0.20790638,
            0.207176834,
            0.206447288,
            0.205717742,
            0.204988196,
            0.204258651,
            0.203529105,
            0.202799559,
            0.202070013,
            0.201133654,
            0.200160921,
            0.199188173,
            0.19821544,
            0.197242707,
            0.196269974,
            0.195297241,
            0.194324493,
            0.193351761,
            0.192379028,
            0.191406295,
            0.190433547,
            0.189460814,
            0.188488081,
            0.187515348,
            0.1865426,
            0.185217544,
            0.183758453,
            0.182299361,
            0.180840254,
            0.179381162,
            0.17792207,
            0.176462978,
            0.175003871,
            0.173544779,
            0.172085688,
            0.170626596,
            0.169167489,
            0.167708397,
            0.166249305,
            0.164790213,
            0.163331121,
            0.162308589,
            0.161579043,
            0.160849482,
            0.160119936,
            0.159390375,
            0.158660829,
            0.157931268,
            0.157201722,
            0.156472161,
            0.155742615,
            0.155013055,
            0.154283509,
            0.153553963,
            0.152824402,
            0.152094841,
            0.151365295,
            0.150635749,
            0.149906188,
            0.149176642,
            0.148447096,
            0.14771755,
            0.14698799,
            0.146258444,
            0.145528898,
            0.144799352,
            0.144069791,
            0.143340245,
            0.142610699,
            0.141881153,
            0.141151607,
            0.140422046,
            0.1396925,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139646545,
            0.140376091,
            0.141105637,
            0.141835198,
            0.142564744,
            0.14329429,
            0.144023836,
            0.144753397,
            0.145482942,
            0.146212488,
            0.146942034,
            0.147671595,
            0.148401141,
            0.149130687,
            0.149860233,
            0.150589794,
            0.15131934,
            0.152048886,
            0.152778447,
            0.153507993,
            0.154237553,
            0.154967099,
            0.15569666,
            0.156426206,
            0.157155767,
            0.157885313,
            0.158614874,
            0.15934442,
            0.160073981,
            0.160803527,
            0.161533087,
            0.162262633,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162808374,
            0.16353792,
            0.164267465,
            0.164997011,
            0.165726557,
            0.166456103,
            0.167185649,
            0.167915195,
            0.168644726,
            0.169374287,
            0.170103818,
            0.170833379,
            0.17156291,
            0.172292471,
            0.173022002,
            0.173751563,
            0.174481094,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.173900917,
            0.173171371,
            0.172441825,
            0.171712279,
            0.170982733,
            0.170253187,
            0.169523641,
            0.168794096,
            0.16806455,
            0.167335004,
            0.166605458,
            0.165875912,
            0.165146366,
            0.16441682,
            0.163687274,
            0.162957728,
            0.162228167,
            0.161498621,
            0.16076906,
            0.160039514,
            0.159309953,
            0.158580408,
            0.157850847,
            0.157121301,
            0.15639174,
            0.155662194,
            0.154932633,
            0.154203087,
            0.153473526,
            0.15274398,
            0.152014419,
            0.151284873,
            0.150555328,
            0.149825767,
            0.149096221,
            0.148366675,
            0.147637129,
            0.146907568,
            0.146178022,
            0.145448476,
            0.14471893,
            0.143989369,
            0.143259823,
            0.142530277,
            0.141800731,
            0.141071171,
            0.140341625,
            0.139612079,
            0.138438284,
            0.136736006,
            0.135033727,
            0.133331448,
            0.131629154,
            0.129926875,
            0.128224596,
            0.126522318,
            0.124820031,
            0.123117745,
            0.121415466,
            0.11971318,
            0.118010901,
            0.116308615,
            0.114606336,
            0.112904049,
            0.111282192,
            0.109823093,
            0.108363993,
            0.106904894,
            0.105445795,
            0.103986695,
            0.102527596,
            0.101068497,
            0.0996093974,
            0.098150298,
            0.0966911986,
            0.0952320993,
            0.0937729999,
            0.0923139006,
            0.0908548012,
            0.0893957019,
            0.0878868178,
            0.0861845389,
            0.0844822526,
            0.0827799737,
            0.0810776874,
            0.0793754086,
            0.0776731223,
            0.0759708434,
            0.0742685646,
            0.0725662783,
            0.070863992,
            0.0691617131,
            0.0674594343,
            0.065757148,
            0.0640548691,
            0.0623525828,
            0.0606120043,
            0.0584233552,
            0.0562347099,
            0.0540460572,
            0.0518574119,
            0.0496687628,
            0.0474801138,
            0.0452914648,
            0.0431028157,
            0.0409141667,
            0.0387255177,
            0.0365368687,
            0.0343482196,
            0.0321595706,
            0.0299709234,
            0.0277822725,
            0.0255936235,
            0.0241000596,
            0.0226409603,
            0.0211818609,
            0.0197227616,
            0.0182636622,
            0.0168045629,
            0.0153454635,
            0.0138863651,
            0.0124272658,
            0.0109681664,
            0.00950906798,
            0.00804996863,
            0.00659086928,
            0.00513176993,
            0.00367267057,
            0.00221357122,
            0.000553415157,
            -0.00114886719,
            -0.00285114953,
            -0.00455343211,
            -0.00625571422,
            -0.0079579968,
            -0.00966027938,
            -0.011362561,
            -0.0130648436,
            -0.0147671252,
            -0.0164694078,
            -0.0181716904,
            -0.019873973,
            -0.0215762556,
            -0.0232785381,
            -0.0249808207,
            -0.0265126824,
            -0.0279717818,
            -0.0294308811,
            -0.0308899805,
            -0.0323490798,
            -0.0338081792,
            -0.0352672786,
            -0.0367263779,
            -0.0381854773,
            -0.0396445766,
            -0.041103676,
            -0.0425627753,
            -0.0440218747,
            -0.045480974,
            -0.0469400734,
            -0.0483991727,
            -0.0499980524,
            -0.051700335,
            -0.0534026176,
            -0.0551049002,
            -0.0568071827,
            -0.0585094653,
            -0.0602117479,
            -0.0619140267,
            -0.063616313,
            -0.0653185919,
            -0.0670208782,
            -0.068723157,
            -0.0704254434,
            -0.0721277222,
            -0.0738300085,
            -0.0755322874,
            -0.076797992,
            -0.0775275379,
            -0.0782570913,
            -0.0789866373,
            -0.0797161907,
            -0.0804457366,
            -0.08117529,
            -0.081904836,
            -0.0826343894,
            -0.0833639354,
            -0.0840934888,
            -0.0848230347,
            -0.0855525881,
            -0.0862821341,
            -0.08701168,
            -0.0877412334,
            -0.0884707794,
            -0.0892003328,
            -0.0899298787,
            -0.0906594321,
            -0.0913889781,
            -0.0921185315,
            -0.0928480774,
            -0.0935776308,
            -0.0943071768,
            -0.0950367302,
            -0.0957662761,
            -0.0964958295,
            -0.0972253755,
            -0.0979549289,
            -0.0986844748,
            -0.0994140282,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100051664,
            -0.10078121,
            -0.101510763,
            -0.102240309,
            -0.102969855,
            -0.103699401,
            -0.104428947,
            -0.1051585,
            -0.105888046,
            -0.106617592,
            -0.107347146,
            -0.108076692,
            -0.108806238,
            -0.109535784,
            -0.110265329,
            -0.110994883,
            -0.111724429,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.112178244,
            -0.112907797,
            -0.113637343,
            -0.114366896,
            -0.11509645,
            -0.115826003,
            -0.116555549,
            -0.117285103,
            -0.118014656,
            -0.118744209,
            -0.119473755,
            -0.120203309,
            -0.120932862,
            -0.121662408,
            -0.122391962,
            -0.123121515,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123391509,
            -0.122661956,
            -0.121932402,
            -0.121202849,
            -0.120473303,
            -0.119743749,
            -0.119014196,
            -0.118284643,
            -0.117555097,
            -0.116825543,
            -0.11609599,
            -0.115366444,
            -0.114636891,
            -0.113907337,
            -0.113177784,
            -0.112448238,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111081049,
            -0.110351503,
            -0.109621949,
            -0.108892404,
            -0.108162858,
            -0.107433312,
            -0.106703758,
            -0.105974212,
            -0.105244666,
            -0.10451512,
            -0.103785567,
            -0.103056021,
            -0.102326475,
            -0.101596929,
            -0.100867376,
            -0.10013783,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0995001942,
            -0.0987706482,
            -0.0980410948,
            -0.0973115414,
            -0.0965819955,
            -0.0958524495,
            -0.0951228961,
            -0.0943933502,
            -0.0936637968,
            -0.0929342508,
            -0.0922046974,
            -0.0914751515,
            -0.0907455981,
            -0.0900160521,
            -0.0892864987,
            -0.0885569528,
            -0.0878273994,
            -0.0870978534,
            -0.0863683,
            -0.0856387541,
            -0.0849092007,
            -0.0841796547,
            -0.0834501013,
            -0.0827205554,
            -0.081991002,
            -0.081261456,
            -0.0805319026,
            -0.0798023567,
            -0.0790728033,
            -0.0783432573,
            -0.0776137039,
            -0.076884158,
            -0.0760492906,
            -0.0750765577,
            -0.0741038248,
            -0.0731310919,
            -0.072158359,
            -0.0711856261,
            -0.0702128932,
            -0.0692401603,
            -0.0682674274,
            -0.0672946945,
            -0.0663219616,
            -0.0653492287,
            -0.0643764958,
            -0.0634037629,
            -0.0624310337,
            -0.0614583008,
            -0.0605602451,
            -0.0598306954,
            -0.0591011457,
            -0.058371596,
            -0.0576420464,
            -0.0569124967,
            -0.056182947,
            -0.0554533973,
            -0.0547238477,
            -0.053994298,
            -0.0532647483,
            -0.0525351986,
            -0.051805649,
            -0.0510760993,
            -0.0503465533,
            -0.0496169999,
            -0.0488874502,
            -0.0481579006,
            -0.0474283546,
            -0.0466988012,
            -0.0459692553,
            -0.0452397056,
            -0.0445101559,
            -0.0437806062,
            -0.0430510566,
            -0.0423215069,
            -0.0415919572,
            -0.0408624075,
            -0.0401328579,
            -0.0394033082,
            -0.0386737585,
            -0.0379442088,
            -0.0372950807,
            -0.0380246304,
            -0.0387541801,
            -0.0394837297,
            -0.0402132794,
            -0.0409428291,
            -0.0416723788,
            -0.0424019285,
            -0.0431314781,
            -0.0438610278,
            -0.0445905775,
            -0.0453201272,
            -0.0460496768,
            -0.0467792265,
            -0.0475087762,
            -0.0482383259,
            -0.0489678755,
            -0.0496974252,
            -0.0504269749,
            -0.0511565246,
            -0.0518860742,
            -0.0526156239,
            -0.0533451736,
            -0.0540747233,
            -0.0548042729,
            -0.0555338226,
            -0.0562633723,
            -0.0569929183,
            -0.0577224717,
            -0.0584520176,
            -0.059181571,
            -0.059911117,
            -0.0606406704,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0602902547,
            -0.059560705,
            -0.0588311553,
            -0.0581016056,
            -0.0573720559,
            -0.0566425063,
            -0.0559129566,
            -0.0551834069,
            -0.0544538572,
            -0.0537243076,
            -0.0529947579,
            -0.0522652082,
            -0.0515356585,
            -0.0508061089,
            -0.0500765592,
            -0.0493470095,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0488012843,
            -0.0480717346,
            -0.0473421849,
            -0.0466126353,
            -0.0458830856,
            -0.0451535359,
            -0.0444239862,
            -0.0436944366,
            -0.0429648869,
            -0.0422353372,
            -0.0415057875,
            -0.0407762378,
            -0.0400466919,
            -0.0393171385,
            -0.0385875925,
            -0.0378580391,
            -0.0371284895,
            -0.0363989398,
            -0.0356693938,
            -0.0349398442,
            -0.0342102945,
            -0.0334807448,
            -0.0327511951,
            -0.0320216455,
            -0.0312920958,
            -0.0305625461,
            -0.0298329964,
            -0.0291034468,
            -0.0283738971,
            -0.0276443474,
            -0.0269147977,
            -0.026185248,
            -0.0254556984,
            -0.0247261487,
            -0.023996599,
            -0.0232670493,
            -0.0225374997,
            -0.02180795,
            -0.0210784003,
            -0.0203488506,
            -0.019619301,
            -0.0188897513,
            -0.0181602016,
            -0.0174306519,
            -0.0167011023,
            -0.0159715526,
            -0.0152420038,
            -0.0145124542,
            -0.0137829045,
            -0.0128293196,
            -0.0118565876,
            -0.0108838547,
            -0.0099111218,
            -0.0089383889,
            -0.007965656,
            -0.0069929231,
            -0.00602019019,
            -0.00504745729,
            -0.00407472439,
            -0.00310199242,
            -0.00212925952,
            -0.00115652662,
            -0.000183793716,
            0.000788939185,
            0.00176167209,
            0.00254100701,
            0.00327055668,
            0.0040001059,
            0.00472965557,
            0.00545920525,
            0.00618875492,
            0.0069183046,
            0.00764785428,
            0.00837740302,
            0.0091069527,
            0.0098365033,
            0.010566052,
            0.0112956017,
            0.0120251514,
            0.0127547011,
            0.0134842508,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0134210614,
            0.0126915118,
            0.0119619621,
            0.0112324124,
            0.0105028637,
            0.009773314,
            0.00904376432,
            0.00831421465,
            0.00758466497,
            0.00685511529,
            0.00612556562,
            0.00539601594,
            0.00466646627,
            0.00393691659,
            0.00320736691,
            0.00247781724,
            0.00167741941,
            0.000704686623,
            -0.000268046279,
            -0.00124077895,
            -0.00221351162,
            -0.00318624452,
            -0.00415897742,
            -0.00513171032,
            -0.00610444322,
            -0.00707717612,
            -0.00804990809,
            -0.009022641,
            -0.0099953739,
            -0.0109681068,
            -0.0119408397,
            -0.0129135726,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0136871627,
            -0.0127144307,
            -0.0117416978,
            -0.0107689649,
            -0.00979623199,
            -0.00882349908,
            -0.00785076618,
            -0.00687803328,
            -0.00590530038,
            -0.00493256748,
            -0.00395983551,
            -0.00298710261,
            -0.0020143697,
            -0.0010416368,
            -6.89039007e-5,
            0.000903829001,
            0.0018765619,
            0.00329353451,
            0.00475263363,
            0.00621173298,
            0.00767083187,
            0.00912993122,
            0.0105890306,
            0.0120481299,
            0.0135072283,
            0.0149663277,
            0.016425427,
            0.0178845264,
            0.0193436258,
            0.0208027251,
            0.0222618245,
            0.0237209238,
            0.0251800213,
            0.0260646734,
            0.0267942231,
            0.0275237728,
            0.0282533206,
            0.0289828703,
            0.02971242,
            0.0304419696,
            0.0311715193,
            0.031901069,
            0.0326306187,
            0.0333601683,
            0.034089718,
            0.0348192677,
            0.0355488174,
            0.036278367,
            0.0370079167,
            0.0377374664,
            0.0384670161,
            0.0391965657,
            0.0399261154,
            0.0406556651,
            0.0413852148,
            0.0421147645,
            0.0428443141,
            0.0435738638,
            0.0443034135,
            0.0450329632,
            0.0457625128,
            0.0464920625,
            0.0472216122,
            0.0479511619,
            0.0486807078,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0487209223,
            0.0479913726,
            0.047261823,
            0.0465322733,
            0.0458027236,
            0.0450731739,
            0.0443436243,
            0.0436140746,
            0.0428845249,
            0.0421549752,
            0.0414254256,
            0.0406958759,
            0.0399663262,
            0.0392367765,
            0.0385072269,
            0.0377776772,
            0.0370481275,
            0.0363185778,
            0.0355890281,
            0.0348594785,
            0.0341299288,
            0.0334003791,
            0.0326708294,
            0.0319412798,
            0.031211732,
            0.0304821823,
            0.0297526326,
            0.0290230829,
            0.0282935333,
            0.0275639836,
            0.0268344339,
            0.0261048842,
            0.0253753345,
            0.0246457849,
            0.0239162352,
            0.0231866855,
            0.0224571358,
            0.0217275862,
            0.0209980365,
            0.0202684887,
            0.019538939,
            0.0188093893,
            0.0180798396,
            0.01735029,
            0.0166207403,
            0.0158911906,
            0.01516164,
            0.0144320913,
            0.0137484968,
            0.0144780464,
            0.0152075961,
            0.0159371458,
            0.0166666955,
            0.0173962452,
            0.0181257948,
            0.0188553445,
            0.0195848942,
            0.0203144439,
            0.0210439935,
            0.0217735432,
            0.0225030929,
            0.0232326426,
            0.0239621922,
            0.0246917419,
            0.0254212916,
            0.0261508394,
            0.0268803891,
            0.0276099388,
            0.0283394884,
            0.0290690381,
            0.0297985878,
            0.0305281375,
            0.031257689,
            0.031987235,
            0.0327167884,
            0.0334463343,
            0.0341758877,
            0.0349054337,
            0.0356349871,
            0.036364533,
            0.0370940827,
            0.0378236324,
            0.038553182,
            0.0392827317,
            0.0400122814,
            0.0407418311,
            0.0414713807,
            0.0422009304,
            0.0429304801,
            0.0436600298,
            0.0443895794,
            0.0451191291,
            0.0458486788,
            0.0465782285,
            0.0473077781,
            0.0480373278,
            0.0487668775,
            0.0494964272,
            0.0502259769,
            0.0509555265,
            0.0516850762,
            0.0524146259,
            0.0531441756,
            0.0538737252,
            0.0546032749,
            0.0553328246,
            0.0560623743,
            0.0567919239,
            0.0575214736,
            0.0582510233,
            0.058980573,
            0.0597101226,
            0.0604396686,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0605832823,
            0.0598537326,
            0.0591241829,
            0.0583946332,
            0.0576650836,
            0.0569355339,
            0.0562059842,
            0.0554764345,
            0.0547468849,
            0.0540173352,
            0.0532877855,
            0.0525582358,
            0.0518286899,
            0.0510991365,
            0.0503695905,
            0.0496400371,
            0.0489104912,
            0.0481809415,
            0.0474513918,
            0.0467218421,
            0.0459922925,
            0.0452627428,
            0.0445331931,
            0.0438036434,
            0.0430740938,
            0.0423445441,
            0.0416149944,
            0.0408854447,
            0.0401558951,
            0.0394263454,
            0.0386967957,
            0.037967246,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.037909802,
            0.0386393517,
            0.0393689014,
            0.0400984511,
            0.0408280008,
            0.0415575504,
            0.0422870964,
            0.0430166498,
            0.0437461957,
            0.0444757491,
            0.0452052951,
            0.0459348485,
            0.0466643944,
            0.0473939441,
            0.0481234938,
            0.0488530435,
            0.0484566763,
            0.0477271266,
            0.046997577,
            0.0462680273,
            0.0455384776,
            0.0448089279,
            0.0440793782,
            0.0433498286,
            0.0426202789,
            0.0418907292,
            0.0411611795,
            0.0404316299,
            0.0397020802,
            0.0389725305,
            0.0382429808,
            0.0375134312,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0375421531,
            0.0382717028,
            0.0390012525,
            0.0397308022,
            0.0404603519,
            0.0411899015,
            0.0419194512,
            0.0426490009,
            0.0433785506,
            0.0441081002,
            0.0448376499,
            0.0455671996,
            0.0462967493,
            0.0470262989,
            0.0477558486,
            0.0484853983,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0489162356,
            0.0481866859,
            0.0474571362,
            0.0467275865,
            0.0459980369,
            0.0452684872,
            0.0445389375,
            0.0438093878,
            0.0430798382,
            0.0423502885,
            0.0416207388,
            0.0408911891,
            0.0401616395,
            0.0394320898,
            0.0387025401,
            0.0379729904,
            0.0372434407,
            0.0365138911,
            0.0357843414,
            0.0350547917,
            0.034325242,
            0.0335956924,
            0.0328661427,
            0.032136593,
            0.0314070433,
            0.0306774937,
            0.029947944,
            0.0292183943,
            0.0284888446,
            0.027759295,
            0.0270297453,
            0.0263001956,
            0.0255706459,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0257717036,
            0.0265012532,
            0.0272308029,
            0.0279603526,
            0.0286899023,
            0.029419452,
            0.0301490016,
            0.0308785513,
            0.031608101,
            0.0323376507,
            0.0330672003,
            0.03379675,
            0.0345262997,
            0.0352558494,
            0.035985399,
            0.0367149487,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0373525843,
            0.038082134,
            0.0388116837,
            0.0395412333,
            0.040270783,
            0.0410003327,
            0.0417298824,
            0.042459432,
            0.0431889817,
            0.0439185314,
            0.0446480811,
            0.0453776307,
            0.0461071804,
            0.0468367301,
            0.0475662798,
            0.0482958294,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0496630184,
            0.0503925681,
            0.0511221178,
            0.0518516675,
            0.0525812134,
            0.0533107668,
            0.0540403128,
            0.0547698662,
            0.0554994121,
            0.0562289618,
            0.0569585115,
            0.0576880611,
            0.0584176108,
            0.0591471605,
            0.0598767102,
            0.0606062599,
            0.061519634,
            0.0624923669,
            0.0634650961,
            0.064437829,
            0.0654105619,
            0.0663832948,
            0.0673560277,
            0.0683287606,
            0.0693014935,
            0.0702742264,
            0.0712469593,
            0.0722196922,
            0.0731924251,
            0.074165158,
            0.0751378909,
            0.0761106238,
            0.0769301727,
            0.0776597187,
            0.0783892721,
            0.079118818,
            0.0798483714,
            0.0805779174,
            0.0813074708,
            0.0820370167,
            0.0827665702,
            0.0834961161,
            0.0842256695,
            0.0849552155,
            0.0856847689,
            0.0864143148,
            0.0871438682,
            0.0878734142,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0879595801,
            0.0872300342,
            0.0865004808,
            0.0857709348,
            0.0850413889,
            0.0843118355,
            0.0835822821,
            0.0828527361,
            0.0821231902,
            0.0813936368,
            0.0806640908,
            0.0799345374,
            0.0792049915,
            0.0784754381,
            0.0777458921,
            0.0770163387,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0765625238,
            0.0772920772,
            0.0780216232,
            0.0787511766,
            0.0794807225,
            0.0802102759,
            0.0809398219,
            0.0816693753,
            0.0823989213,
            0.0831284747,
            0.0838580206,
            0.084587574,
            0.08531712,
            0.0860466659,
            0.0867762193,
            0.0875057727
          ],
          [
            0.0764706135,
            0.0754978806,
            0.0745251477,
            0.0735524148,
            0.0725796819,
            0.071606949,
            0.0706342161,
            0.0696614832,
            0.0686887503,
            0.0677160174,
            0.0667432845,
            0.0657705516,
            0.0647978187,
            0.0638250858,
            0.0628523529,
            0.06187962,
            0.0609068871,
            0.0616345219,
            0.0626072586,
            0.0635799915,
            0.0645527244,
            0.0655254573,
            0.0664981902,
            0.0674709231,
            0.068443656,
            0.0694163889,
            0.0703891218,
            0.0713618547,
            0.0723345876,
            0.0733073205,
            0.0742800534,
            0.0752527863,
            0.0762255192,
            0.0770163387,
            0.0777458921,
            0.0784754381,
            0.0792049915,
            0.0799345374,
            0.0806640908,
            0.0813936368,
            0.0821231902,
            0.0828527361,
            0.0835822821,
            0.0843118355,
            0.0850413889,
            0.0857709348,
            0.0865004808,
            0.0872300342,
            0.0879595876,
            0.0886891335,
            0.0894186795,
            0.0901482329,
            0.0908777788,
            0.0916073322,
            0.0923368782,
            0.0930664316,
            0.0937959775,
            0.0945255309,
            0.0952550769,
            0.0959846303,
            0.0967141762,
            0.0974437296,
            0.0981732756,
            0.098902829,
            0.0996323749,
            0.0996381193,
            0.0989085734,
            0.09817902,
            0.097449474,
            0.0967199206,
            0.0959903747,
            0.0952608213,
            0.0945312753,
            0.0938017219,
            0.093072176,
            0.0923426226,
            0.0916130766,
            0.0908835232,
            0.0901539773,
            0.0894244239,
            0.0886948779,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0875115171,
            0.0867819637,
            0.0860524178,
            0.0853228644,
            0.0845933184,
            0.083863765,
            0.0831342191,
            0.0824046656,
            0.0816751197,
            0.0809455663,
            0.0802160203,
            0.0794864669,
            0.078756921,
            0.0780273676,
            0.0772978216,
            0.0765682682,
            0.0756280869,
            0.074655354,
            0.0736826211,
            0.0727098882,
            0.0717371553,
            0.0707644224,
            0.0697916895,
            0.0688189566,
            0.0678462237,
            0.0668734908,
            0.0659007579,
            0.064928025,
            0.0639552921,
            0.0629825592,
            0.06200983,
            0.0610370971,
            0.0602443591,
            0.0595148094,
            0.0587852597,
            0.05805571,
            0.0573261604,
            0.0565966107,
            0.055867061,
            0.0551375113,
            0.0544079617,
            0.053678412,
            0.0529488623,
            0.0522193126,
            0.051489763,
            0.0507602133,
            0.0500306636,
            0.0493011139,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0493757911,
            0.0501053408,
            0.0508348905,
            0.0515644401,
            0.0522939898,
            0.0530235395,
            0.0537530892,
            0.0544826388,
            0.0552121885,
            0.0559417382,
            0.0566712879,
            0.0574008375,
            0.0581303872,
            0.0588599369,
            0.0595894866,
            0.0603190362,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0617417544,
            0.0627144873,
            0.0636872202,
            0.0646599531,
            0.065632686,
            0.0666054189,
            0.0675781518,
            0.0685508847,
            0.0695236176,
            0.0704963505,
            0.0714690834,
            0.0724418163,
            0.0734145492,
            0.0743872821,
            0.075360015,
            0.0763327479,
            0.0770967603,
            0.0778263137,
            0.0785558596,
            0.079285413,
            0.080014959,
            0.0807445124,
            0.0814740583,
            0.0822036117,
            0.0829331577,
            0.0836627111,
            0.084392257,
            0.0851218104,
            0.0858513564,
            0.0865809098,
            0.0873104557,
            0.0880400091,
            0.0893037915,
            0.0907628909,
            0.0922219902,
            0.0936810896,
            0.0951401889,
            0.0965992883,
            0.0980583876,
            0.099517487,
            0.100976586,
            0.102435686,
            0.103894785,
            0.105353884,
            0.106812984,
            0.108272083,
            0.109731182,
            0.111190282,
            0.112796821,
            0.114499107,
            0.116201386,
            0.117903665,
            0.119605951,
            0.121308237,
            0.123010516,
            0.124712795,
            0.126415074,
            0.128117368,
            0.129819646,
            0.131521925,
            0.133224204,
            0.134926498,
            0.136628777,
            0.138331056,
            0.139916539,
            0.141375646,
            0.142834738,
            0.144293845,
            0.145752952,
            0.147212058,
            0.14867115,
            0.150130257,
            0.151589364,
            0.153048456,
            0.154507563,
            0.155966669,
            0.157425776,
            0.158884868,
            0.160343975,
            0.161803082,
            0.163262174,
            0.16472128,
            0.166180372,
            0.167639464,
            0.169098556,
            0.170557663,
            0.172016755,
            0.173475847,
            0.174934939,
            0.176394045,
            0.177853137,
            0.179312229,
            0.180771321,
            0.182230413,
            0.18368952,
            0.185148612,
            0.186496645,
            0.187469393,
            0.188442126,
            0.189414859,
            0.190387592,
            0.191360325,
            0.192333072,
            0.193305805,
            0.194278538,
            0.195251271,
            0.196224019,
            0.197196752,
            0.198169485,
            0.199142218,
            0.200114965,
            0.201087698,
            0.202035546,
            0.202765092,
            0.203494638,
            0.204224184,
            0.20495373,
            0.205683276,
            0.206412822,
            0.207142368,
            0.207871914,
            0.208601445,
            0.209331006,
            0.210060537,
            0.210790098,
            0.211519629,
            0.21224919,
            0.212978721,
            0.213708282,
            0.213013202,
            0.212283656,
            0.21155411,
            0.210824564,
            0.210095018,
            0.209365472,
            0.208635926,
            0.20790638,
            0.207176834,
            0.206447288,
            0.205717742,
            0.204988196,
            0.204258651,
            0.203529105,
            0.202799559,
            0.202070013,
            0.201133654,
            0.200160921,
            0.199188173,
            0.19821544,
            0.197242707,
            0.196269974,
            0.195297241,
            0.194324493,
            0.193351761,
            0.192379028,
            0.191406295,
            0.190433547,
            0.189460814,
            0.188488081,
            0.187515348,
            0.1865426,
            0.185217544,
            0.183758453,
            0.182299361,
            0.180840254,
            0.179381162,
            0.17792207,
            0.176462978,
            0.175003871,
            0.173544779,
            0.172085688,
            0.170626596,
            0.169167489,
            0.167708397,
            0.166249305,
            0.164790213,
            0.163331121,
            0.162308589,
            0.161579043,
            0.160849482,
            0.160119936,
            0.159390375,
            0.158660829,
            0.157931268,
            0.157201722,
            0.156472161,
            0.155742615,
            0.155013055,
            0.154283509,
            0.153553963,
            0.152824402,
            0.152094841,
            0.151365295,
            0.150635749,
            0.149906188,
            0.149176642,
            0.148447096,
            0.14771755,
            0.14698799,
            0.146258444,
            0.145528898,
            0.144799352,
            0.144069791,
            0.143340245,
            0.142610699,
            0.141881153,
            0.141151607,
            0.140422046,
            0.1396925,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139123797,
            0.138151065,
            0.137178332,
            0.136205599,
            0.135232866,
            0.134260133,
            0.1332874,
            0.132314667,
            0.131341934,
            0.130369201,
            0.129396468,
            0.128423735,
            0.127451003,
            0.12647827,
            0.125505537,
            0.124532804,
            0.123560071,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.124348983,
            0.125321716,
            0.126294449,
            0.127267182,
            0.128239915,
            0.129212648,
            0.130185381,
            0.131158113,
            0.132130846,
            0.133103579,
            0.134076312,
            0.135049045,
            0.136021778,
            0.136994511,
            0.137967244,
            0.138939977,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139646545,
            0.140376091,
            0.141105637,
            0.141835198,
            0.142564744,
            0.14329429,
            0.144023836,
            0.144753397,
            0.145482942,
            0.146212488,
            0.146942034,
            0.147671595,
            0.148401141,
            0.149130687,
            0.149860233,
            0.150589794,
            0.15131934,
            0.152048886,
            0.152778447,
            0.153507993,
            0.154237553,
            0.154967099,
            0.15569666,
            0.156426206,
            0.157155767,
            0.157885313,
            0.158614874,
            0.15934442,
            0.160073981,
            0.160803527,
            0.161533087,
            0.162262633,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162808374,
            0.16353792,
            0.164267465,
            0.164997011,
            0.165726557,
            0.166456103,
            0.167185649,
            0.167915195,
            0.168644726,
            0.169374287,
            0.170103818,
            0.170833379,
            0.17156291,
            0.172292471,
            0.173022002,
            0.173751563,
            0.174481094,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.173900917,
            0.173171371,
            0.172441825,
            0.171712279,
            0.170982733,
            0.170253187,
            0.169523641,
            0.168794096,
            0.16806455,
            0.167335004,
            0.166605458,
            0.165875912,
            0.165146366,
            0.16441682,
            0.163687274,
            0.162957728,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162320077,
            0.161590531,
            0.160860971,
            0.160131425,
            0.159401864,
            0.158672318,
            0.157942757,
            0.157213211,
            0.15648365,
            0.155754104,
            0.155024558,
            0.154294997,
            0.153565437,
            0.152835891,
            0.152106345,
            0.151376784,
            0.15020299,
            0.148500711,
            0.146798432,
            0.145096153,
            0.143393859,
            0.14169158,
            0.139989302,
            0.138287023,
            0.136584729,
            0.13488245,
            0.133180171,
            0.131477892,
            0.129775599,
            0.12807332,
            0.126371041,
            0.124668755,
            0.123046897,
            0.121587798,
            0.120128699,
            0.118669599,
            0.1172105,
            0.115751401,
            0.114292301,
            0.112833202,
            0.111374103,
            0.109915003,
            0.108455904,
            0.106996804,
            0.105537705,
            0.104078606,
            0.102619506,
            0.101160407,
            0.0997013077,
            0.0982422084,
            0.096783109,
            0.0953240097,
            0.0938649178,
            0.092405811,
            0.0909467191,
            0.0894876122,
            0.0880285203,
            0.086569421,
            0.0851103216,
            0.0836512223,
            0.0821921229,
            0.0807330236,
            0.0792739242,
            0.0778148249,
            0.0763365775,
            0.0746342912,
            0.0729320124,
            0.0712297261,
            0.0695274472,
            0.0678251609,
            0.0661228821,
            0.0644205958,
            0.0627183169,
            0.0610160343,
            0.0593137518,
            0.0576114692,
            0.0559091866,
            0.054206904,
            0.0525046214,
            0.0508023426,
            0.0491000563,
            0.0476294681,
            0.0461703688,
            0.0447112694,
            0.0432521701,
            0.0417930707,
            0.0403339714,
            0.038874872,
            0.0374157764,
            0.035956677,
            0.0344975777,
            0.0330384783,
            0.031579379,
            0.0301202796,
            0.0286611803,
            0.0272020809,
            0.0257429816,
            0.0242838822,
            0.0228247829,
            0.0213656835,
            0.0199065842,
            0.0184474848,
            0.0169883855,
            0.015529287,
            0.0140701886,
            0.0126110893,
            0.0111519899,
            0.00969289057,
            0.00823379122,
            0.00677469186,
            0.00531559251,
            0.00385649316,
            0.00239739567,
            0.000256616855,
            -0.00217521517,
            -0.00460704695,
            -0.00703887921,
            -0.00947071146,
            -0.0119025428,
            -0.014334375,
            -0.0167662073,
            -0.0191980395,
            -0.0216298699,
            -0.0240617022,
            -0.0264935344,
            -0.0289253667,
            -0.031357199,
            -0.0337890312,
            -0.0362208635,
            -0.0380935632,
            -0.0395526625,
            -0.0410117619,
            -0.0424708612,
            -0.0439299606,
            -0.0453890599,
            -0.0468481593,
            -0.0483072586,
            -0.049766358,
            -0.0512254573,
            -0.0526845567,
            -0.054143656,
            -0.0556027554,
            -0.0570618547,
            -0.0585209541,
            -0.0599800497,
            -0.061220862,
            -0.0621935949,
            -0.0631663278,
            -0.0641390607,
            -0.0651117936,
            -0.0660845265,
            -0.0670572594,
            -0.0680299923,
            -0.0690027252,
            -0.0699754581,
            -0.070948191,
            -0.0719209239,
            -0.0728936568,
            -0.0738663897,
            -0.0748391226,
            -0.0758118555,
            -0.0769416019,
            -0.0784007013,
            -0.0798598006,
            -0.0813189,
            -0.0827779993,
            -0.0842370987,
            -0.085696198,
            -0.0871552974,
            -0.0886143968,
            -0.0900734961,
            -0.0915325955,
            -0.0929916948,
            -0.0944507942,
            -0.0959098935,
            -0.0973689929,
            -0.0988280922,
            -0.100143574,
            -0.10087312,
            -0.101602674,
            -0.102332219,
            -0.103061765,
            -0.103791311,
            -0.104520865,
            -0.105250411,
            -0.105979957,
            -0.106709503,
            -0.107439056,
            -0.108168602,
            -0.108898148,
            -0.109627694,
            -0.110357247,
            -0.111086793,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111075304,
            -0.110345758,
            -0.109616205,
            -0.108886659,
            -0.108157113,
            -0.107427567,
            -0.106698014,
            -0.105968468,
            -0.105238922,
            -0.104509376,
            -0.103779823,
            -0.103050277,
            -0.102320731,
            -0.101591185,
            -0.100861639,
            -0.100132085,
            -0.100597389,
            -0.101326935,
            -0.102056488,
            -0.102786034,
            -0.10351558,
            -0.104245126,
            -0.104974672,
            -0.105704226,
            -0.106433772,
            -0.107163318,
            -0.107892863,
            -0.108622417,
            -0.109351963,
            -0.110081509,
            -0.110811055,
            -0.111540608,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.112178244,
            -0.112907797,
            -0.113637343,
            -0.114366896,
            -0.11509645,
            -0.115826003,
            -0.116555549,
            -0.117285103,
            -0.118014656,
            -0.118744209,
            -0.119473755,
            -0.120203309,
            -0.120932862,
            -0.121662408,
            -0.122391962,
            -0.123121515,
            -0.123207681,
            -0.122478127,
            -0.121748582,
            -0.121019028,
            -0.120289475,
            -0.119559929,
            -0.118830375,
            -0.118100822,
            -0.117371269,
            -0.116641723,
            -0.115912169,
            -0.115182616,
            -0.114453062,
            -0.113723516,
            -0.112993963,
            -0.11226441,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111626774,
            -0.110897228,
            -0.110167675,
            -0.109438129,
            -0.108708583,
            -0.107979037,
            -0.107249483,
            -0.106519938,
            -0.105790392,
            -0.105060846,
            -0.104331292,
            -0.103601746,
            -0.1028722,
            -0.102142654,
            -0.101413101,
            -0.100683555,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0994082838,
            -0.0986787304,
            -0.0979491845,
            -0.0972196311,
            -0.0964900851,
            -0.0957605317,
            -0.0950309858,
            -0.0943014324,
            -0.0935718864,
            -0.092842333,
            -0.0921127871,
            -0.0913832337,
            -0.0906536877,
            -0.0899241418,
            -0.0891945884,
            -0.088465035,
            -0.087735489,
            -0.0870059431,
            -0.0862763897,
            -0.0855468363,
            -0.0848172903,
            -0.0840877444,
            -0.083358191,
            -0.082628645,
            -0.0818990916,
            -0.0811695457,
            -0.0804399922,
            -0.0797104463,
            -0.0789808929,
            -0.0782513469,
            -0.0775217935,
            -0.0767922476,
            -0.0759267434,
            -0.0749540105,
            -0.0739812776,
            -0.0730085447,
            -0.0720358118,
            -0.0710630789,
            -0.070090346,
            -0.0691176131,
            -0.0681448802,
            -0.0671721473,
            -0.0661994144,
            -0.0652266815,
            -0.0642539486,
            -0.0632812157,
            -0.0623084828,
            -0.0613357499,
            -0.0604683347,
            -0.059738785,
            -0.0590092354,
            -0.0582796857,
            -0.057550136,
            -0.0568205863,
            -0.0560910366,
            -0.055361487,
            -0.0546319373,
            -0.0539023876,
            -0.0531728379,
            -0.0524432883,
            -0.0517137386,
            -0.0509841889,
            -0.0502546392,
            -0.0495250896,
            -0.0487955399,
            -0.0480659902,
            -0.0473364405,
            -0.0466068909,
            -0.0458773412,
            -0.0451477915,
            -0.0444182418,
            -0.0436886922,
            -0.0429591425,
            -0.0422295928,
            -0.0415000431,
            -0.0407704934,
            -0.0400409438,
            -0.0393113941,
            -0.0385818481,
            -0.0378522947,
            -0.0371227451,
            -0.0363931954,
            -0.0356636494,
            -0.034934096,
            -0.0342045501,
            -0.0334750004,
            -0.0327454507,
            -0.0320159011,
            -0.0312863514,
            -0.0305567998,
            -0.029827252,
            -0.0290977024,
            -0.0283681527,
            -0.027638603,
            -0.0269090533,
            -0.0261795036,
            -0.0255303755,
            -0.0262599252,
            -0.0269894749,
            -0.0277190246,
            -0.0284485742,
            -0.0291781239,
            -0.0299076736,
            -0.0306372233,
            -0.0313667729,
            -0.0320963226,
            -0.0328258723,
            -0.033555422,
            -0.0342849717,
            -0.0350145213,
            -0.035744071,
            -0.0364736207,
            -0.0372031704,
            -0.03793272,
            -0.0386622697,
            -0.0393918194,
            -0.0401213691,
            -0.0408509187,
            -0.0415804684,
            -0.0423100181,
            -0.0430395678,
            -0.0437691174,
            -0.0444986671,
            -0.0452282131,
            -0.0459577665,
            -0.0466873124,
            -0.0474168658,
            -0.0481464118,
            -0.0488759652,
            -0.0484336391,
            -0.0477040894,
            -0.0469745398,
            -0.0462449901,
            -0.0455154404,
            -0.0447858907,
            -0.0440563411,
            -0.0433267914,
            -0.0425972417,
            -0.041867692,
            -0.0411381423,
            -0.0404085927,
            -0.039679043,
            -0.0389494933,
            -0.0382199436,
            -0.037490394,
            -0.0367608443,
            -0.0360312946,
            -0.0353017449,
            -0.0345721953,
            -0.0338426456,
            -0.0331130959,
            -0.0323835462,
            -0.0316539966,
            -0.0309244469,
            -0.0301948972,
            -0.0294653475,
            -0.0287357979,
            -0.0280062482,
            -0.0272766985,
            -0.0265471488,
            -0.0258175991,
            -0.0250880513,
            -0.0243585017,
            -0.023628952,
            -0.0228994023,
            -0.0221698526,
            -0.021440303,
            -0.0207107533,
            -0.0199812036,
            -0.0192516539,
            -0.0185221042,
            -0.0177925546,
            -0.0170630049,
            -0.0163334571,
            -0.0156039065,
            -0.0148743568,
            -0.0141448071,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0134344054,
            -0.0124616725,
            -0.0114889406,
            -0.0105162077,
            -0.00954347476,
            -0.00857074186,
            -0.00759800896,
            -0.00662527606,
            -0.00565254316,
            -0.00467981026,
            -0.00370707735,
            -0.00273434538,
            -0.00176161248,
            -0.000788879581,
            0.000183853321,
            0.00115658622,
            0.00208719261,
            0.00281674229,
            0.00354629196,
            0.00427584164,
            0.00500539131,
            0.00573494053,
            0.0064644902,
            0.00719403988,
            0.00792359002,
            0.00865313876,
            0.00938268844,
            0.0101122381,
            0.0108417878,
            0.0115713375,
            0.0123008871,
            0.0130304368,
            0.0137599865,
            0.0144895352,
            0.0152190849,
            0.0159486346,
            0.0166781843,
            0.0174077339,
            0.0181372836,
            0.0188668333,
            0.019596383,
            0.0203259327,
            0.0210554823,
            0.021785032,
            0.0225145817,
            0.0232441314,
            0.023973681,
            0.0247032307,
            0.0254327804,
            0.0261623301,
            0.0268918779,
            0.0276214276,
            0.0283509772,
            0.0290805269,
            0.0298100766,
            0.0305396263,
            0.0312691778,
            0.0319987237,
            0.0327282771,
            0.0334578231,
            0.0341873765,
            0.0349169225,
            0.0356464759,
            0.0363760218,
            0.0371055752,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0369504727,
            0.0362209231,
            0.0354913734,
            0.0347618237,
            0.034032274,
            0.0333027244,
            0.0325731747,
            0.031843625,
            0.0311140753,
            0.0303845257,
            0.029654976,
            0.0289254263,
            0.0281958766,
            0.027466327,
            0.0267367773,
            0.0260072276,
            0.0252776779,
            0.0245481282,
            0.0238185786,
            0.0230890289,
            0.0223594792,
            0.0216299295,
            0.0209003799,
            0.0201708302,
            0.0194412824,
            0.0187117327,
            0.017982183,
            0.0172526333,
            0.0165230837,
            0.015793534,
            0.0150639843,
            0.0143344346,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0150582399,
            0.0165173393,
            0.0179764386,
            0.0194355361,
            0.0208946355,
            0.0223537348,
            0.0238128342,
            0.0252719335,
            0.0267310329,
            0.0281901322,
            0.0296492316,
            0.0311083309,
            0.0325674303,
            0.0340265296,
            0.035485629,
            0.0369447246,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0377374664,
            0.0384670161,
            0.0391965657,
            0.0399261154,
            0.0406556651,
            0.0413852148,
            0.0421147645,
            0.0428443141,
            0.0435738638,
            0.0443034135,
            0.0450329632,
            0.0457625128,
            0.0464920625,
            0.0472216122,
            0.0479511619,
            0.0486807078,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0487209223,
            0.0479913726,
            0.047261823,
            0.0465322733,
            0.0458027236,
            0.0450731739,
            0.0443436243,
            0.0436140746,
            0.0428845249,
            0.0421549752,
            0.0414254256,
            0.0406958759,
            0.0399663262,
            0.0392367765,
            0.0385072269,
            0.0377776772,
            0.0368413255,
            0.0353822261,
            0.0339231268,
            0.0324640274,
            0.0310049299,
            0.0295458306,
            0.0280867312,
            0.0266276337,
            0.0251685344,
            0.023709435,
            0.0222503357,
            0.0207912363,
            0.019332137,
            0.0178730376,
            0.0164139383,
            0.0149548389,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137484968,
            0.0144780464,
            0.0152075961,
            0.0159371458,
            0.0166666955,
            0.0173962452,
            0.0181257948,
            0.0188553445,
            0.0195848942,
            0.0203144439,
            0.0210439935,
            0.0217735432,
            0.0225030929,
            0.0232326426,
            0.0239621922,
            0.0246917419,
            0.0254212916,
            0.0261508394,
            0.0268803891,
            0.0276099388,
            0.0283394884,
            0.0290690381,
            0.0297985878,
            0.0305281375,
            0.031257689,
            0.031987235,
            0.0327167884,
            0.0334463343,
            0.0341758877,
            0.0349054337,
            0.0356349871,
            0.036364533,
            0.0370940827,
            0.0383923389,
            0.0398514383,
            0.0413105339,
            0.0427696332,
            0.0442287326,
            0.0456878319,
            0.0471469313,
            0.0486060306,
            0.05006513,
            0.0515242293,
            0.0529833287,
            0.0544424281,
            0.0559015274,
            0.0573606268,
            0.0588197261,
            0.0602788255,
            0.0614200644,
            0.0623927973,
            0.0633655265,
            0.0643382594,
            0.0653109923,
            0.0662837252,
            0.0672564581,
            0.068229191,
            0.0692019239,
            0.0701746568,
            0.0711473897,
            0.0721201226,
            0.0730928555,
            0.0740655884,
            0.0750383213,
            0.0760110542,
            0.0759574398,
            0.0749847069,
            0.074011974,
            0.0730392411,
            0.0720665082,
            0.0710937753,
            0.0701210424,
            0.0691483095,
            0.0681755766,
            0.0672028437,
            0.0662301108,
            0.0652573779,
            0.064284645,
            0.0633119121,
            0.0623391792,
            0.0613664463,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0603822246,
            0.0589231253,
            0.0574640259,
            0.0560049266,
            0.0545458272,
            0.0530867316,
            0.0516276322,
            0.0501685329,
            0.0487094335,
            0.0472503342,
            0.0457912348,
            0.0443321355,
            0.0428730361,
            0.0414139368,
            0.0399548374,
            0.0384957381,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372721627,
            0.0380017124,
            0.0387312621,
            0.0394608118,
            0.0401903614,
            0.0409199111,
            0.0416494608,
            0.0423790105,
            0.0431085601,
            0.0438381098,
            0.0445676595,
            0.0452972092,
            0.0460267588,
            0.0467563085,
            0.0474858582,
            0.0482154079,
            0.0489449576,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0484566763,
            0.0477271266,
            0.046997577,
            0.0462680273,
            0.0455384776,
            0.0448089279,
            0.0440793782,
            0.0433498286,
            0.0426202789,
            0.0418907292,
            0.0411611795,
            0.0404316299,
            0.0397020802,
            0.0389725305,
            0.0382429808,
            0.0375134312,
            0.0367838815,
            0.0360543318,
            0.0353247821,
            0.0345952325,
            0.0338656828,
            0.0331361331,
            0.0324065834,
            0.0316770338,
            0.0309474841,
            0.0302179344,
            0.0294883847,
            0.028758835,
            0.0280292854,
            0.0272997376,
            0.0265701879,
            0.0258406382,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.025777448,
            0.0265069976,
            0.0272365473,
            0.027966097,
            0.0286956467,
            0.0294251963,
            0.030154746,
            0.0308842957,
            0.0316138454,
            0.0323433951,
            0.0330729447,
            0.0338024944,
            0.0345320441,
            0.0352615938,
            0.0359911434,
            0.0367206931,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372434407,
            0.0365138911,
            0.0357843414,
            0.0350547917,
            0.034325242,
            0.0335956924,
            0.0328661427,
            0.032136593,
            0.0314070433,
            0.0306774937,
            0.029947944,
            0.0292183943,
            0.0284888446,
            0.027759295,
            0.0270297453,
            0.0263001956,
            0.0255706459,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0251168329,
            0.0243872833,
            0.0236577336,
            0.0229281839,
            0.0221986342,
            0.0214690845,
            0.0207395349,
            0.0200099852,
            0.0192804355,
            0.0185508877,
            0.017821338,
            0.0170917884,
            0.0163622387,
            0.015632689,
            0.0149031384,
            0.0141735887,
            0.0140069993,
            0.0147365481,
            0.0154660977,
            0.0161956474,
            0.0169251971,
            0.0176547468,
            0.0183842964,
            0.0191138461,
            0.0198433958,
            0.0205729455,
            0.0213024952,
            0.0220320448,
            0.0227615945,
            0.0234911442,
            0.0242206939,
            0.0249502435,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.025587881,
            0.0263174307,
            0.0270469803,
            0.02777653,
            0.0285060797,
            0.0292356275,
            0.0299651772,
            0.0306947269,
            0.0314242765,
            0.0321538262,
            0.0328833759,
            0.0336129256,
            0.0343424752,
            0.0350720249,
            0.0358015746,
            0.0365311243,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0378063992,
            0.0385359488,
            0.0392654985,
            0.0399950482,
            0.0407245979,
            0.0414541475,
            0.0421836972,
            0.0429132469,
            0.0436427966,
            0.0443723463,
            0.0451018959,
            0.0458314456,
            0.0465609953,
            0.047290545,
            0.0480200946,
            0.0487496443,
            0.049479194,
            0.0502087437,
            0.0509382933,
            0.051667843,
            0.0523973927,
            0.0531269424,
            0.053856492,
            0.0545860417,
            0.0553155914,
            0.0560451411,
            0.0567746907,
            0.0575042367,
            0.0582337901,
            0.0589633361,
            0.0596928895,
            0.0604224354,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0605086051,
            0.0597790554,
            0.0590495057,
            0.0583199561,
            0.0575904064,
            0.0568608567,
            0.056131307,
            0.0554017574,
            0.0546722077,
            0.053942658,
            0.0532131083,
            0.0524835587,
            0.051754009,
            0.0510244593,
            0.0502949096,
            0.04956536,
            0.0492034592,
            0.0499330088,
            0.0506625585,
            0.0513921082,
            0.0521216579,
            0.0528512076,
            0.0535807572,
            0.0543103069,
            0.0550398529,
            0.0557694063,
            0.0564989522,
            0.0572285056,
            0.0579580516,
            0.058687605,
            0.0594171509,
            0.0601467043,
            0.0609068871,
            0.06187962,
            0.0628523529,
            0.0638250858,
            0.0647978187,
            0.0657705516,
            0.0667432845,
            0.0677160174,
            0.0686887503,
            0.0696614832,
            0.0706342161,
            0.071606949,
            0.0725796819,
            0.0735524148,
            0.0745251477,
            0.0754978806
          ],
          [
            0.0607843399,
            0.0600547902,
            0.0593252406,
            0.0585956909,
            0.0578661412,
            0.0571365915,
            0.0564070418,
            0.0556774922,
            0.0549479425,
            0.0542183928,
            0.0534888431,
            0.0527592935,
            0.0520297438,
            0.0513001941,
            0.0505706444,
            0.0498410948,
            0.0491115451,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.04956536,
            0.0502949096,
            0.0510244593,
            0.051754009,
            0.0524835587,
            0.0532131083,
            0.053942658,
            0.0546722077,
            0.0554017574,
            0.056131307,
            0.0568608567,
            0.0575904064,
            0.0583199561,
            0.0590495057,
            0.0597790554,
            0.0605086051,
            0.0613894239,
            0.0623621568,
            0.0633348897,
            0.0643076226,
            0.0652803555,
            0.0662530884,
            0.0672258213,
            0.0681985542,
            0.0691712871,
            0.07014402,
            0.0711167529,
            0.0720894858,
            0.0730622187,
            0.0740349516,
            0.0750076845,
            0.0759804174,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0762331784,
            0.0752604455,
            0.0742877126,
            0.0733149797,
            0.0723422468,
            0.0713695139,
            0.070396781,
            0.0694240481,
            0.0684513152,
            0.0674785823,
            0.0665058494,
            0.0655331165,
            0.0645603836,
            0.0635876507,
            0.0626149178,
            0.0616421849,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.060152445,
            0.0594228953,
            0.0586933494,
            0.057963796,
            0.05723425,
            0.0565046966,
            0.0557751507,
            0.055045601,
            0.0543160513,
            0.0535865016,
            0.052856952,
            0.0521274023,
            0.0513978526,
            0.0506683029,
            0.0499387532,
            0.0492092036,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0491919704,
            0.0499215201,
            0.0506510697,
            0.0513806194,
            0.0521101691,
            0.0528397188,
            0.0535692647,
            0.0542988181,
            0.0550283641,
            0.0557579175,
            0.0564874634,
            0.0572170168,
            0.0579465628,
            0.0586761162,
            0.0594056621,
            0.0601352118,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0617417544,
            0.0627144873,
            0.0636872202,
            0.0646599531,
            0.065632686,
            0.0666054189,
            0.0675781518,
            0.0685508847,
            0.0695236176,
            0.0704963505,
            0.0714690834,
            0.0724418163,
            0.0734145492,
            0.0743872821,
            0.075360015,
            0.0763327479,
            0.0770967603,
            0.0778263137,
            0.0785558596,
            0.079285413,
            0.080014959,
            0.0807445124,
            0.0814740583,
            0.0822036117,
            0.0829331577,
            0.0836627111,
            0.084392257,
            0.0851218104,
            0.0858513564,
            0.0865809098,
            0.0873104557,
            0.0880400091,
            0.0893037915,
            0.0907628909,
            0.0922219902,
            0.0936810896,
            0.0951401889,
            0.0965992883,
            0.0980583876,
            0.099517487,
            0.100976586,
            0.102435686,
            0.103894785,
            0.105353884,
            0.106812984,
            0.108272083,
            0.109731182,
            0.111190282,
            0.112796821,
            0.114499107,
            0.116201386,
            0.117903665,
            0.119605951,
            0.121308237,
            0.123010516,
            0.124712795,
            0.126415074,
            0.128117368,
            0.129819646,
            0.131521925,
            0.133224204,
            0.134926498,
            0.136628777,
            0.138331056,
            0.139916539,
            0.141375646,
            0.142834738,
            0.144293845,
            0.145752952,
            0.147212058,
            0.14867115,
            0.150130257,
            0.151589364,
            0.153048456,
            0.154507563,
            0.155966669,
            0.157425776,
            0.158884868,
            0.160343975,
            0.161803082,
            0.163262174,
            0.16472128,
            0.166180372,
            0.167639464,
            0.169098556,
            0.170557663,
            0.172016755,
            0.173475847,
            0.174934939,
            0.176394045,
            0.177853137,
            0.179312229,
            0.180771321,
            0.182230413,
            0.18368952,
            0.185148612,
            0.186496645,
            0.187469393,
            0.188442126,
            0.189414859,
            0.190387592,
            0.191360325,
            0.192333072,
            0.193305805,
            0.194278538,
            0.195251271,
            0.196224019,
            0.197196752,
            0.198169485,
            0.199142218,
            0.200114965,
            0.201087698,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201133654,
            0.200160921,
            0.199188173,
            0.19821544,
            0.197242707,
            0.196269974,
            0.195297241,
            0.194324493,
            0.193351761,
            0.192379028,
            0.191406295,
            0.190433547,
            0.189460814,
            0.188488081,
            0.187515348,
            0.1865426,
            0.185746029,
            0.185016483,
            0.184286937,
            0.183557391,
            0.18282783,
            0.182098284,
            0.181368738,
            0.180639192,
            0.179909647,
            0.179180086,
            0.17845054,
            0.177720994,
            0.176991433,
            0.176261887,
            0.175532341,
            0.174802795,
            0.17363666,
            0.172177568,
            0.170718461,
            0.169259369,
            0.167800263,
            0.166341171,
            0.164882064,
            0.163422972,
            0.161963865,
            0.160504773,
            0.159045666,
            0.157586575,
            0.156127468,
            0.154668376,
            0.153209269,
            0.151750177,
            0.150635749,
            0.149906188,
            0.149176642,
            0.148447096,
            0.14771755,
            0.14698799,
            0.146258444,
            0.145528898,
            0.144799352,
            0.144069791,
            0.143340245,
            0.142610699,
            0.141881153,
            0.141151607,
            0.140422046,
            0.1396925,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139123797,
            0.138151065,
            0.137178332,
            0.136205599,
            0.135232866,
            0.134260133,
            0.1332874,
            0.132314667,
            0.131341934,
            0.130369201,
            0.129396468,
            0.128423735,
            0.127451003,
            0.12647827,
            0.125505537,
            0.124532804,
            0.123560071,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.124348983,
            0.125321716,
            0.126294449,
            0.127267182,
            0.128239915,
            0.129212648,
            0.130185381,
            0.131158113,
            0.132130846,
            0.133103579,
            0.134076312,
            0.135049045,
            0.136021778,
            0.136994511,
            0.137967244,
            0.138939977,
            0.139738455,
            0.140468001,
            0.141197562,
            0.141927108,
            0.142656654,
            0.1433862,
            0.144115746,
            0.144845307,
            0.145574853,
            0.146304399,
            0.14703396,
            0.147763506,
            0.148493052,
            0.149222597,
            0.149952143,
            0.150681704,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151135519,
            0.151865065,
            0.152594626,
            0.153324172,
            0.154053733,
            0.154783279,
            0.15551284,
            0.156242386,
            0.156971946,
            0.157701492,
            0.158431053,
            0.159160599,
            0.15989016,
            0.160619706,
            0.161349267,
            0.162078813,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162320077,
            0.161590531,
            0.160860971,
            0.160131425,
            0.159401864,
            0.158672318,
            0.157942757,
            0.157213211,
            0.15648365,
            0.155754104,
            0.155024558,
            0.154294997,
            0.153565437,
            0.152835891,
            0.152106345,
            0.151376784,
            0.150647238,
            0.149917677,
            0.149188131,
            0.148458585,
            0.147729039,
            0.146999478,
            0.146269932,
            0.145540386,
            0.14481084,
            0.14408128,
            0.143351734,
            0.142622188,
            0.141892642,
            0.141163081,
            0.140433535,
            0.139703989,
            0.138652742,
            0.136950463,
            0.135248184,
            0.133545905,
            0.131843612,
            0.130141333,
            0.128439054,
            0.126736775,
            0.125034496,
            0.123332202,
            0.121629924,
            0.119927645,
            0.118225358,
            0.11652308,
            0.114820793,
            0.113118514,
            0.111466013,
            0.110006914,
            0.108547814,
            0.107088715,
            0.105629623,
            0.104170516,
            0.102711424,
            0.101252317,
            0.0997932255,
            0.0983341262,
            0.0968750268,
            0.0954159275,
            0.0939568281,
            0.0924977288,
            0.0910386294,
            0.0895795301,
            0.0881778747,
            0.0874483213,
            0.0867187753,
            0.0859892219,
            0.085259676,
            0.0845301226,
            0.0838005766,
            0.0830710232,
            0.0823414773,
            0.0816119313,
            0.0808823779,
            0.0801528245,
            0.0794232786,
            0.0786937326,
            0.0779641792,
            0.0772346258,
            0.0765050799,
            0.0748487562,
            0.0731464699,
            0.071444191,
            0.0697419047,
            0.0680396259,
            0.0663373396,
            0.0646350607,
            0.0629327744,
            0.0612304956,
            0.059528213,
            0.0578259304,
            0.0561236478,
            0.0544213653,
            0.0527190827,
            0.0510168001,
            0.0493145175,
            0.0478132926,
            0.0463541932,
            0.0448950939,
            0.0434359945,
            0.0419768952,
            0.0405177958,
            0.0390586965,
            0.0375996009,
            0.0361405015,
            0.0346814021,
            0.0332223028,
            0.0317632034,
            0.0303041022,
            0.0288450029,
            0.0273859035,
            0.025926806,
            0.023786027,
            0.0213541947,
            0.0189223625,
            0.0164905302,
            0.0140586989,
            0.0116268676,
            0.00919503532,
            0.00676320307,
            0.00433137082,
            0.00189954042,
            -0.00053229183,
            -0.00296412408,
            -0.00539595634,
            -0.00782778859,
            -0.0102596208,
            -0.0126914531,
            -0.0145641547,
            -0.016023254,
            -0.0174823534,
            -0.0189414509,
            -0.0204005502,
            -0.0218596496,
            -0.0233187489,
            -0.0247778483,
            -0.0262369476,
            -0.027696047,
            -0.0291551463,
            -0.0306142457,
            -0.032073345,
            -0.0335324444,
            -0.0349915437,
            -0.0364506394,
            -0.0379097424,
            -0.0393688418,
            -0.0408279411,
            -0.0422870368,
            -0.0437461361,
            -0.0452052355,
            -0.0466643348,
            -0.0481234342,
            -0.0495825335,
            -0.0510416329,
            -0.0525007322,
            -0.0539598316,
            -0.0554189309,
            -0.0568780303,
            -0.0583371297,
            -0.059796229,
            -0.0613338351,
            -0.0630361214,
            -0.0647384003,
            -0.0664406866,
            -0.0681429654,
            -0.0698452443,
            -0.0715475306,
            -0.0732498094,
            -0.0749520957,
            -0.0766543746,
            -0.0783566609,
            -0.0800589398,
            -0.0817612261,
            -0.0834635049,
            -0.0851657912,
            -0.0868680701,
            -0.0885224864,
            -0.0899815783,
            -0.0914406776,
            -0.092899777,
            -0.0943588689,
            -0.0958179682,
            -0.0972770676,
            -0.098736167,
            -0.100195259,
            -0.101654358,
            -0.103113458,
            -0.104572549,
            -0.106031649,
            -0.107490748,
            -0.108949848,
            -0.110408947,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111075304,
            -0.110345758,
            -0.109616205,
            -0.108886659,
            -0.108157113,
            -0.107427567,
            -0.106698014,
            -0.105968468,
            -0.105238922,
            -0.104509376,
            -0.103779823,
            -0.103050277,
            -0.102320731,
            -0.101591185,
            -0.100861639,
            -0.100132085,
            -0.100597389,
            -0.101326935,
            -0.102056488,
            -0.102786034,
            -0.10351558,
            -0.104245126,
            -0.104974672,
            -0.105704226,
            -0.106433772,
            -0.107163318,
            -0.107892863,
            -0.108622417,
            -0.109351963,
            -0.110081509,
            -0.110811055,
            -0.111540608,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111442946,
            -0.1107134,
            -0.109983854,
            -0.109254308,
            -0.108524755,
            -0.107795209,
            -0.107065663,
            -0.106336117,
            -0.105606571,
            -0.104877017,
            -0.104147471,
            -0.103417926,
            -0.10268838,
            -0.101958826,
            -0.10122928,
            -0.100499734,
            -0.0997701883,
            -0.0990406349,
            -0.098311089,
            -0.0975815356,
            -0.0968519896,
            -0.0961224362,
            -0.0953928903,
            -0.0946633369,
            -0.0939337909,
            -0.0932042375,
            -0.0924746916,
            -0.0917451382,
            -0.0910155922,
            -0.0902860388,
            -0.0895564929,
            -0.0888269395,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0876435786,
            -0.0869140252,
            -0.0861844793,
            -0.0854549259,
            -0.0847253799,
            -0.0839958265,
            -0.0832662806,
            -0.0825367272,
            -0.0818071812,
            -0.0810776278,
            -0.0803480819,
            -0.0796185285,
            -0.0788889825,
            -0.0781594366,
            -0.0774298832,
            -0.0767003298,
            -0.0758041963,
            -0.0748314634,
            -0.0738587305,
            -0.0728859976,
            -0.0719132647,
            -0.0709405318,
            -0.0699677989,
            -0.068995066,
            -0.0680223331,
            -0.0670496002,
            -0.0660768673,
            -0.0651041344,
            -0.0641314015,
            -0.0631586686,
            -0.0621859357,
            -0.0612132028,
            -0.0603764206,
            -0.0596468709,
            -0.0589173213,
            -0.0581877716,
            -0.0574582219,
            -0.056728676,
            -0.0559991226,
            -0.0552695766,
            -0.0545400232,
            -0.0538104773,
            -0.0530809276,
            -0.0523513779,
            -0.0516218245,
            -0.0508922786,
            -0.0501627289,
            -0.0494331792,
            -0.0487036295,
            -0.0479740798,
            -0.0472445302,
            -0.0465149805,
            -0.0457854308,
            -0.0450558811,
            -0.0443263315,
            -0.0435967818,
            -0.0428672321,
            -0.0421376824,
            -0.0414081328,
            -0.0406785831,
            -0.0399490334,
            -0.0392194837,
            -0.0384899341,
            -0.0377603844,
            -0.0370308347,
            -0.036301285,
            -0.0355717354,
            -0.0348421857,
            -0.034112636,
            -0.0333830863,
            -0.0326535366,
            -0.031923987,
            -0.0311944373,
            -0.0304648876,
            -0.0297353398,
            -0.0290057883,
            -0.0282762386,
            -0.0275466908,
            -0.0268171411,
            -0.0260875914,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0249042269,
            -0.0241746772,
            -0.0234451275,
            -0.0227155779,
            -0.0219860282,
            -0.0212564804,
            -0.0205269307,
            -0.019797381,
            -0.0190678313,
            -0.0183382817,
            -0.017608732,
            -0.0168791823,
            -0.0161496326,
            -0.015420083,
            -0.0146905333,
            -0.0139609836,
            -0.0130667584,
            -0.0120940255,
            -0.0111212935,
            -0.0101485606,
            -0.00917582773,
            -0.00820309483,
            -0.00723036192,
            -0.00625762902,
            -0.00528489612,
            -0.00431216322,
            -0.00333943032,
            -0.00236669835,
            -0.00139396545,
            -0.000421232544,
            0.000551500358,
            0.00152423326,
            0.00236292789,
            0.00309247756,
            0.00382202724,
            0.00455157645,
            0.00528112613,
            0.0060106758,
            0.00674022548,
            0.00746977516,
            0.00819932483,
            0.00892887451,
            0.00965842418,
            0.0103879739,
            0.0111175226,
            0.0118470723,
            0.012576622,
            0.0133061716,
            0.0140357213,
            0.014765271,
            0.0154948207,
            0.0162243694,
            0.0169539191,
            0.0176834688,
            0.0184130184,
            0.0191425681,
            0.0198721178,
            0.0206016675,
            0.0213312171,
            0.0220607668,
            0.0227903165,
            0.0235198662,
            0.0242494158,
            0.0249789655,
            0.025926806,
            0.0273859054,
            0.0288450029,
            0.0303041022,
            0.0317632034,
            0.0332223028,
            0.0346814021,
            0.0361405015,
            0.0375996009,
            0.0390586965,
            0.0405177958,
            0.0419768989,
            0.0434359945,
            0.0448950939,
            0.0463541932,
            0.0478132926,
            0.0491460152,
            0.0498755649,
            0.0506051108,
            0.0513346605,
            0.0520642102,
            0.0527937599,
            0.0535233095,
            0.0542528592,
            0.0549824089,
            0.0557119586,
            0.0564415082,
            0.0571710579,
            0.0579006076,
            0.0586301573,
            0.0593597069,
            0.0600892566,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0602041483,
            0.0594745986,
            0.0587450489,
            0.0580154993,
            0.0572859496,
            0.0565563999,
            0.0558268502,
            0.0550973006,
            0.0543677509,
            0.0536382012,
            0.0529086515,
            0.0521791019,
            0.0514495522,
            0.0507200025,
            0.0499904528,
            0.0492609031,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0488070883,
            0.0480775386,
            0.0473479889,
            0.0466184393,
            0.0458888896,
            0.0451593399,
            0.0444297902,
            0.0437002406,
            0.0429706909,
            0.0422411412,
            0.0415115915,
            0.0407820418,
            0.0400524959,
            0.0393229425,
            0.0385933965,
            0.0378638431,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0369562171,
            0.0362266675,
            0.0354971178,
            0.0347675681,
            0.0340380184,
            0.0333084688,
            0.0325789191,
            0.0318493694,
            0.0311198197,
            0.0303902701,
            0.0296607204,
            0.0289311707,
            0.028201621,
            0.0274720713,
            0.0267425217,
            0.026012972,
            0.0252834223,
            0.0245538726,
            0.023824323,
            0.0230947733,
            0.0223652236,
            0.0216356739,
            0.0209061243,
            0.0201765765,
            0.0194470268,
            0.0187174771,
            0.0179879274,
            0.0172583777,
            0.0165288281,
            0.0157992784,
            0.0150697287,
            0.014340179,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137484968,
            0.0144780464,
            0.0152075961,
            0.0159371458,
            0.0166666955,
            0.0173962452,
            0.0181257948,
            0.0188553445,
            0.0195848942,
            0.0203144439,
            0.0210439935,
            0.0217735432,
            0.0225030929,
            0.0232326426,
            0.0239621922,
            0.0246917419,
            0.0254212916,
            0.0268114563,
            0.0282705557,
            0.0297296531,
            0.0311887525,
            0.0326478519,
            0.0341069512,
            0.0355660506,
            0.0370251499,
            0.0384842493,
            0.0399433486,
            0.041402448,
            0.0428615473,
            0.0443206467,
            0.045779746,
            0.0472388417,
            0.048697941,
            0.0495883375,
            0.0503178872,
            0.0510474369,
            0.0517769866,
            0.0525065362,
            0.0532360859,
            0.0539656356,
            0.0546951853,
            0.055424735,
            0.0561542846,
            0.0568838343,
            0.057613384,
            0.0583429337,
            0.0590724833,
            0.059802033,
            0.0605315827,
            0.0614200644,
            0.0623927973,
            0.0633655265,
            0.0643382594,
            0.0653109923,
            0.0662837252,
            0.0672564581,
            0.068229191,
            0.0692019239,
            0.0701746568,
            0.0711473897,
            0.0721201226,
            0.0730928555,
            0.0740655884,
            0.0750383213,
            0.0760110542,
            0.0759574398,
            0.0749847069,
            0.074011974,
            0.0730392411,
            0.0720665082,
            0.0710937753,
            0.0701210424,
            0.0691483095,
            0.0681755766,
            0.0672028437,
            0.0662301108,
            0.0652573779,
            0.064284645,
            0.0633119121,
            0.0623391792,
            0.0613664463,
            0.0604913719,
            0.0597618222,
            0.0590322725,
            0.0583027229,
            0.0575731732,
            0.0568436235,
            0.0561140738,
            0.0553845242,
            0.0546549745,
            0.0539254248,
            0.0531958751,
            0.0524663255,
            0.0517367758,
            0.0510072261,
            0.0502776764,
            0.0495481268,
            0.0488185771,
            0.0480890274,
            0.0473594777,
            0.0466299281,
            0.0459003784,
            0.0451708287,
            0.044441279,
            0.0437117293,
            0.0429821797,
            0.04225263,
            0.0415230803,
            0.0407935306,
            0.0400639847,
            0.0393344313,
            0.0386048853,
            0.0378753319,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372721627,
            0.0380017124,
            0.0387312621,
            0.0394608118,
            0.0401903614,
            0.0409199111,
            0.0416494608,
            0.0423790105,
            0.0431085601,
            0.0438381098,
            0.0445676595,
            0.0452972092,
            0.0460267588,
            0.0467563085,
            0.0474858582,
            0.0482154079,
            0.0489449576,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0484566763,
            0.0477271266,
            0.046997577,
            0.0462680273,
            0.0455384776,
            0.0448089279,
            0.0440793782,
            0.0433498286,
            0.0426202789,
            0.0418907292,
            0.0411611795,
            0.0404316299,
            0.0397020802,
            0.0389725305,
            0.0382429808,
            0.0375134312,
            0.0367838815,
            0.0360543318,
            0.0353247821,
            0.0345952325,
            0.0338656828,
            0.0331361331,
            0.0324065834,
            0.0316770338,
            0.0309474841,
            0.0302179344,
            0.0294883847,
            0.028758835,
            0.0280292854,
            0.0272997376,
            0.0265701879,
            0.0258406382,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0249330085,
            0.0242034607,
            0.023473911,
            0.0227443613,
            0.0220148116,
            0.021285262,
            0.0205557123,
            0.0198261626,
            0.0190966129,
            0.0183670633,
            0.0176375136,
            0.0169079639,
            0.0161784142,
            0.0154488645,
            0.0147193149,
            0.0139897652,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0139150871,
            0.0146446368,
            0.0153741864,
            0.0161037352,
            0.0168332849,
            0.0175628345,
            0.0182923842,
            0.0190219339,
            0.0197514836,
            0.0204810333,
            0.0212105829,
            0.0219401326,
            0.0226696823,
            0.023399232,
            0.0241287816,
            0.0248583313,
            0.025587881,
            0.0263174307,
            0.0270469803,
            0.02777653,
            0.0285060797,
            0.0292356275,
            0.0299651772,
            0.0306947269,
            0.0314242765,
            0.0321538262,
            0.0328833759,
            0.0336129256,
            0.0343424752,
            0.0350720249,
            0.0358015746,
            0.0365311243,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0366115458,
            0.0358819962,
            0.0351524465,
            0.0344228968,
            0.0336933509,
            0.0329637975,
            0.0322342515,
            0.0315046981,
            0.0307751503,
            0.0300456006,
            0.0293160509,
            0.0285865031,
            0.0278569534,
            0.0271274038,
            0.0263978541,
            0.0256683044,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0259497836,
            0.0266793333,
            0.027408883,
            0.0281384327,
            0.0288679823,
            0.029597532,
            0.0303270817,
            0.0310566314,
            0.031786181,
            0.0325157307,
            0.0332452804,
            0.0339748263,
            0.0347043797,
            0.0354339257,
            0.0361634791,
            0.036893025,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.037438754,
            0.0381683037,
            0.0388978533,
            0.039627403,
            0.0403569527,
            0.0410865024,
            0.041816052,
            0.0425456017,
            0.0432751477,
            0.0440047011,
            0.044734247,
            0.0454638004,
            0.0461933464,
            0.0469228998,
            0.0476524457,
            0.0483819991,
            0.0491115451,
            0.0498410948,
            0.0505706444,
            0.0513001941,
            0.0520297438,
            0.0527592935,
            0.0534888431,
            0.0542183928,
            0.0549479425,
            0.0556774922,
            0.0564070418,
            0.0571365915,
            0.0578661412,
            0.0585956909,
            0.0593252406,
            0.0600547902
          ],
          [
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0483819954,
            0.0476524457,
            0.0469228961,
            0.0461933464,
            0.0454638004,
            0.044734247,
            0.0440047011,
            0.0432751477,
            0.0425456017,
            0.041816052,
            0.0410865024,
            0.0403569527,
            0.039627403,
            0.0388978533,
            0.0381683037,
            0.037438754,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0377087444,
            0.0384382941,
            0.0391678438,
            0.0398973934,
            0.0406269431,
            0.0413564928,
            0.0420860425,
            0.0428155921,
            0.0435451418,
            0.0442746915,
            0.0450042412,
            0.0457337871,
            0.0464633405,
            0.0471928865,
            0.0479224399,
            0.0486519858,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0495596156,
            0.0502891652,
            0.0510187149,
            0.0517482646,
            0.0524778143,
            0.0532073639,
            0.0539369136,
            0.0546664633,
            0.055396013,
            0.0561255626,
            0.0568551123,
            0.057584662,
            0.0583142117,
            0.0590437613,
            0.059773311,
            0.0605028607,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0605200939,
            0.0597905442,
            0.0590609945,
            0.0583314449,
            0.0576018952,
            0.0568723455,
            0.0561427958,
            0.0554132462,
            0.0546836965,
            0.0539541468,
            0.0532245971,
            0.0524950475,
            0.0517654978,
            0.0510359481,
            0.0503063984,
            0.0495768487,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0491000563,
            0.049829606,
            0.0505591556,
            0.0512887053,
            0.052018255,
            0.0527478047,
            0.0534773543,
            0.054206904,
            0.0549364537,
            0.0556660034,
            0.0563955531,
            0.0571251027,
            0.0578546524,
            0.0585842021,
            0.0593137518,
            0.0600433014,
            0.0607728511,
            0.0617417544,
            0.0627144873,
            0.0636872202,
            0.0646599531,
            0.065632686,
            0.0666054189,
            0.0675781518,
            0.0685508847,
            0.0695236176,
            0.0704963505,
            0.0714690834,
            0.0724418163,
            0.0734145492,
            0.0743872821,
            0.075360015,
            0.0763327479,
            0.0770967603,
            0.0778263137,
            0.0785558596,
            0.079285413,
            0.080014959,
            0.0807445124,
            0.0814740583,
            0.0822036117,
            0.0829331577,
            0.0836627111,
            0.084392257,
            0.0851218104,
            0.0858513564,
            0.0865809098,
            0.0873104557,
            0.0880400091,
            0.0893037915,
            0.0907628909,
            0.0922219902,
            0.0936810896,
            0.0951401889,
            0.0965992883,
            0.0980583876,
            0.099517487,
            0.100976586,
            0.102435686,
            0.103894785,
            0.105353884,
            0.106812984,
            0.108272083,
            0.109731182,
            0.111190282,
            0.112796821,
            0.114499107,
            0.116201386,
            0.117903665,
            0.119605951,
            0.121308237,
            0.123010516,
            0.124712795,
            0.126415074,
            0.128117368,
            0.129819646,
            0.131521925,
            0.133224204,
            0.134926498,
            0.136628777,
            0.138331056,
            0.139916539,
            0.141375646,
            0.142834738,
            0.144293845,
            0.145752952,
            0.147212058,
            0.14867115,
            0.150130257,
            0.151589364,
            0.153048456,
            0.154507563,
            0.155966669,
            0.157425776,
            0.158884868,
            0.160343975,
            0.161803082,
            0.163003683,
            0.163733229,
            0.164462775,
            0.165192321,
            0.165921867,
            0.166651413,
            0.167380959,
            0.168110505,
            0.168840051,
            0.169569597,
            0.170299143,
            0.171028689,
            0.171758235,
            0.17248778,
            0.173217326,
            0.173946872,
            0.174676418,
            0.175405964,
            0.17613551,
            0.176865056,
            0.177594617,
            0.178324163,
            0.179053709,
            0.179783255,
            0.180512816,
            0.181242362,
            0.181971908,
            0.182701454,
            0.183431014,
            0.18416056,
            0.184890106,
            0.185619652,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185746029,
            0.185016483,
            0.184286937,
            0.183557391,
            0.18282783,
            0.182098284,
            0.181368738,
            0.180639192,
            0.179909647,
            0.179180086,
            0.17845054,
            0.177720994,
            0.176991433,
            0.176261887,
            0.175532341,
            0.174802795,
            0.17363666,
            0.172177568,
            0.170718461,
            0.169259369,
            0.167800263,
            0.166341171,
            0.164882064,
            0.163422972,
            0.161963865,
            0.160504773,
            0.159045666,
            0.157586575,
            0.156127468,
            0.154668376,
            0.153209269,
            0.151750177,
            0.150635749,
            0.149906188,
            0.149176642,
            0.148447096,
            0.14771755,
            0.14698799,
            0.146258444,
            0.145528898,
            0.144799352,
            0.144069791,
            0.143340245,
            0.142610699,
            0.141881153,
            0.141151607,
            0.140422046,
            0.1396925,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139123797,
            0.138151065,
            0.137178332,
            0.136205599,
            0.135232866,
            0.134260133,
            0.1332874,
            0.132314667,
            0.131341934,
            0.130369201,
            0.129396468,
            0.128423735,
            0.127451003,
            0.12647827,
            0.125505537,
            0.124532804,
            0.123560071,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.124963641,
            0.12666592,
            0.128368199,
            0.130070493,
            0.131772771,
            0.13347505,
            0.135177329,
            0.136879623,
            0.138581902,
            0.140284181,
            0.141986459,
            0.143688738,
            0.145391032,
            0.147093311,
            0.14879559,
            0.150497884,
            0.151503161,
            0.152232721,
            0.152962267,
            0.153691828,
            0.154421374,
            0.155150935,
            0.155880481,
            0.156610042,
            0.157339588,
            0.158069149,
            0.158798695,
            0.159528255,
            0.160257801,
            0.160987362,
            0.161716908,
            0.162446469,
            0.16231434,
            0.16158478,
            0.160855234,
            0.160125673,
            0.159396127,
            0.158666566,
            0.15793702,
            0.157207459,
            0.156477913,
            0.155748367,
            0.155018806,
            0.154289246,
            0.1535597,
            0.152830154,
            0.152100593,
            0.151371032,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151043609,
            0.151773155,
            0.152502716,
            0.153232262,
            0.153961822,
            0.154691368,
            0.155420929,
            0.156150475,
            0.156880036,
            0.157609582,
            0.158339143,
            0.159068689,
            0.159798235,
            0.160527796,
            0.161257356,
            0.161986902,
            0.162716448,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162136257,
            0.161406711,
            0.16067715,
            0.159947604,
            0.159218043,
            0.158488497,
            0.157758936,
            0.15702939,
            0.156299829,
            0.155570284,
            0.154840723,
            0.154111177,
            0.153381616,
            0.15265207,
            0.151922509,
            0.151192963,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150555328,
            0.149825767,
            0.149096221,
            0.148366675,
            0.147637129,
            0.146907568,
            0.146178022,
            0.145448476,
            0.14471893,
            0.143989369,
            0.143259823,
            0.142530277,
            0.141800731,
            0.141071171,
            0.140341625,
            0.139612079,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.138652742,
            0.136950463,
            0.135248184,
            0.133545905,
            0.131843612,
            0.130141333,
            0.128439054,
            0.126736775,
            0.125034496,
            0.123332202,
            0.121629924,
            0.119927645,
            0.118225358,
            0.11652308,
            0.114820793,
            0.113118514,
            0.111615375,
            0.110885821,
            0.110156275,
            0.109426722,
            0.108697176,
            0.107967623,
            0.107238077,
            0.106508523,
            0.105778977,
            0.105049424,
            0.104319878,
            0.103590325,
            0.102860779,
            0.102131225,
            0.101401679,
            0.100672126,
            0.0999425799,
            0.0992130265,
            0.0984834805,
            0.0977539271,
            0.0970243812,
            0.0962948278,
            0.0955652818,
            0.0948357284,
            0.0941061825,
            0.0933766365,
            0.0926470831,
            0.0919175297,
            0.0911879838,
            0.0904584378,
            0.0897288844,
            0.088999331,
            0.088269785,
            0.0866134614,
            0.0849111751,
            0.0832088962,
            0.0815066099,
            0.0798043311,
            0.0781020448,
            0.0763997659,
            0.0746974796,
            0.0729952008,
            0.0712929219,
            0.0695906356,
            0.0678883493,
            0.0661860704,
            0.0644837916,
            0.0627815053,
            0.0610792227,
            0.0595779978,
            0.0581188984,
            0.0566597991,
            0.0552006997,
            0.0537416004,
            0.052282501,
            0.0508234017,
            0.049364306,
            0.0479052067,
            0.0464461073,
            0.044987008,
            0.0435279086,
            0.0420688093,
            0.0406097099,
            0.0391506106,
            0.0376915112,
            0.0362324119,
            0.0347733125,
            0.0333142132,
            0.0318551138,
            0.0303960145,
            0.0289369151,
            0.0274778157,
            0.0260187164,
            0.024559617,
            0.0231005177,
            0.0216414183,
            0.0201823208,
            0.0187232215,
            0.0172641221,
            0.0158050228,
            0.0143459234,
            0.0123276943,
            0.00989586301,
            0.00746403076,
            0.0050321985,
            0.00260036625,
            0.000168534927,
            -0.0022632964,
            -0.00469512865,
            -0.0071269609,
            -0.00955879316,
            -0.0119906254,
            -0.0144224577,
            -0.0168542899,
            -0.0192861222,
            -0.0217179544,
            -0.0241497867,
            -0.0264724717,
            -0.0286611207,
            -0.0308497697,
            -0.0330384187,
            -0.0352270678,
            -0.0374157168,
            -0.0396043658,
            -0.0417930111,
            -0.0439816639,
            -0.0461703092,
            -0.0483589619,
            -0.0505476072,
            -0.0527362563,
            -0.0549249053,
            -0.0571135543,
            -0.0593022034,
            -0.0613338351,
            -0.0630361214,
            -0.0647384003,
            -0.0664406866,
            -0.0681429654,
            -0.0698452443,
            -0.0715475306,
            -0.0732498094,
            -0.0749520957,
            -0.0766543746,
            -0.0783566609,
            -0.0800589398,
            -0.0817612261,
            -0.0834635049,
            -0.0851657912,
            -0.0868680701,
            -0.0885224864,
            -0.0899815783,
            -0.0914406776,
            -0.092899777,
            -0.0943588689,
            -0.0958179682,
            -0.0972770676,
            -0.098736167,
            -0.100195259,
            -0.101654358,
            -0.103113458,
            -0.104572549,
            -0.106031649,
            -0.107490748,
            -0.108949848,
            -0.110408947,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111351036,
            -0.11062149,
            -0.109891944,
            -0.109162398,
            -0.108432844,
            -0.107703298,
            -0.106973752,
            -0.106244206,
            -0.105514653,
            -0.104785107,
            -0.104055561,
            -0.103326015,
            -0.102596462,
            -0.101866916,
            -0.10113737,
            -0.100407824,
            -0.0996782705,
            -0.0989487246,
            -0.0982191712,
            -0.0974896252,
            -0.0967600718,
            -0.0960305259,
            -0.0953009725,
            -0.0945714265,
            -0.0938418731,
            -0.0931123272,
            -0.0923827738,
            -0.0916532278,
            -0.0909236819,
            -0.0901941285,
            -0.0894645751,
            -0.0887350291,
            -0.0880054832,
            -0.0872759297,
            -0.0865463838,
            -0.0858168304,
            -0.0850872844,
            -0.084357731,
            -0.0836281851,
            -0.0828986317,
            -0.0821690857,
            -0.0814395323,
            -0.0807099864,
            -0.079980433,
            -0.079250887,
            -0.0785213336,
            -0.0777917877,
            -0.0770622343,
            -0.0762867332,
            -0.0753140002,
            -0.0743412673,
            -0.0733685344,
            -0.0723958015,
            -0.0714230686,
            -0.0704503357,
            -0.0694776028,
            -0.0685048699,
            -0.067532137,
            -0.0665594041,
            -0.0655866712,
            -0.0646139383,
            -0.0636412054,
            -0.0626684725,
            -0.0616957396,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0603764206,
            -0.0596468709,
            -0.0589173213,
            -0.0581877716,
            -0.0574582219,
            -0.056728676,
            -0.0559991226,
            -0.0552695766,
            -0.0545400232,
            -0.0538104773,
            -0.0530809276,
            -0.0523513779,
            -0.0516218245,
            -0.0508922786,
            -0.0501627289,
            -0.0494331792,
            -0.0483876802,
            -0.0469285846,
            -0.0454694852,
            -0.0440103859,
            -0.0425512865,
            -0.0410921872,
            -0.0396330878,
            -0.0381739885,
            -0.0367148891,
            -0.0352557898,
            -0.0337966904,
            -0.0323375911,
            -0.0308784917,
            -0.0294193923,
            -0.027960293,
            -0.0265011936,
            -0.0252661295,
            -0.0245365798,
            -0.0238070302,
            -0.0230774805,
            -0.0223479308,
            -0.0216183811,
            -0.0208888315,
            -0.0201592818,
            -0.0194297321,
            -0.0187001824,
            -0.0179706346,
            -0.0172410831,
            -0.0165115334,
            -0.0157819856,
            -0.0150524359,
            -0.0143228862,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0128216604,
            -0.0118489275,
            -0.0108761955,
            -0.0099034626,
            -0.0089307297,
            -0.0079579968,
            -0.0069852639,
            -0.006012531,
            -0.0050397981,
            -0.00406706519,
            -0.00309433229,
            -0.00212160032,
            -0.00114886742,
            -0.000176134519,
            0.000796598382,
            0.00176933128,
            0.00254675141,
            0.00327630108,
            0.00400585076,
            0.00473539997,
            0.00546494965,
            0.00619449932,
            0.006924049,
            0.00765359867,
            0.00838314835,
            0.00911269709,
            0.0098422477,
            0.0105717974,
            0.0113013461,
            0.0120308958,
            0.0127604455,
            0.0134899952,
            0.0142195448,
            0.0149490945,
            0.0156786442,
            0.0164081939,
            0.0171377435,
            0.0178672932,
            0.0185968429,
            0.0193263926,
            0.0200559422,
            0.0207854919,
            0.0215150416,
            0.0222445913,
            0.0229741409,
            0.0237036906,
            0.0244332403,
            0.02516279,
            0.0258923378,
            0.0266218875,
            0.0273514371,
            0.0280809868,
            0.0288105365,
            0.0295400862,
            0.0302696358,
            0.0309991855,
            0.0317287371,
            0.032458283,
            0.0331878327,
            0.0339173824,
            0.034646932,
            0.0353764817,
            0.0361060314,
            0.0368355811,
            0.0378753357,
            0.0393344313,
            0.0407935306,
            0.04225263,
            0.0437117293,
            0.0451708287,
            0.0466299281,
            0.0480890274,
            0.0495481268,
            0.0510072261,
            0.0524663255,
            0.0539254248,
            0.0553845242,
            0.0568436235,
            0.0583027229,
            0.0597618222,
            0.0610753931,
            0.062048126,
            0.0630208626,
            0.0639935955,
            0.064966321,
            0.0659390539,
            0.0669117868,
            0.0678845197,
            0.0688572526,
            0.0698299855,
            0.0708027184,
            0.0717754513,
            0.0727481842,
            0.0737209171,
            0.07469365,
            0.0756663829,
            0.0765969902,
            0.0773265436,
            0.0780560896,
            0.078785643,
            0.0795151889,
            0.0802447423,
            0.0809742883,
            0.0817038417,
            0.0824333876,
            0.083162941,
            0.083892487,
            0.0846220404,
            0.0853515863,
            0.0860811397,
            0.0868106857,
            0.0875402391,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.087655127,
            0.0869255736,
            0.0861960277,
            0.0854664743,
            0.0847369283,
            0.0840073749,
            0.083277829,
            0.0825482756,
            0.0818187296,
            0.0810891762,
            0.0803596303,
            0.0796300769,
            0.0789005309,
            0.078170985,
            0.0774414316,
            0.0767118782,
            0.0758195743,
            0.0748468414,
            0.0738741085,
            0.0729013756,
            0.0719286427,
            0.0709559098,
            0.0699831769,
            0.069010444,
            0.0680377111,
            0.0670649782,
            0.0660922453,
            0.0651195124,
            0.0641467795,
            0.0631740466,
            0.0622013137,
            0.0612285808,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0606637076,
            0.0599341579,
            0.0592046082,
            0.0584750585,
            0.0577455088,
            0.0570159592,
            0.0562864095,
            0.0555568598,
            0.0548273101,
            0.0540977605,
            0.0533682108,
            0.0526386611,
            0.0519091114,
            0.0511795618,
            0.0504500121,
            0.0497204624,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0483532734,
            0.0476237237,
            0.0468941741,
            0.0461646244,
            0.0454350747,
            0.044705525,
            0.0439759754,
            0.0432464257,
            0.0425168797,
            0.0417873263,
            0.0410577804,
            0.040328227,
            0.039598681,
            0.0388691276,
            0.0381395817,
            0.037410032,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0367723927,
            0.036042843,
            0.0353132933,
            0.0345837437,
            0.033854194,
            0.0331246443,
            0.0323950946,
            0.031665545,
            0.0309359953,
            0.0302064456,
            0.0294768959,
            0.0287473463,
            0.0280177966,
            0.0272882469,
            0.0265586972,
            0.0258291494,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.025191512,
            0.0244619623,
            0.0237324126,
            0.0230028629,
            0.0222733133,
            0.0215437636,
            0.0208142139,
            0.0200846642,
            0.0193551145,
            0.0186255649,
            0.0178960152,
            0.0171664655,
            0.0164369158,
            0.0157073662,
            0.0149778165,
            0.0142482677,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.013840409,
            0.0145699587,
            0.0152995083,
            0.016029058,
            0.0167586077,
            0.0174881574,
            0.0182177071,
            0.0189472549,
            0.0196768045,
            0.0204063542,
            0.0211359039,
            0.0218654536,
            0.0225950032,
            0.0233245529,
            0.0240541026,
            0.0247836523,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0261508394,
            0.0268803891,
            0.0276099388,
            0.0283394884,
            0.0290690381,
            0.0297985878,
            0.0305281375,
            0.031257689,
            0.031987235,
            0.0327167884,
            0.0334463343,
            0.0341758877,
            0.0349054337,
            0.0356349871,
            0.036364533,
            0.0370940827,
            0.0378236324,
            0.038553182,
            0.0392827317,
            0.0400122814,
            0.0407418311,
            0.0414713807,
            0.0422009304,
            0.0429304801,
            0.0436600298,
            0.0443895794,
            0.0451191291,
            0.0458486788,
            0.0465782285,
            0.0473077781,
            0.0480373278,
            0.0487668775,
            0.0494964272,
            0.0502259769,
            0.0509555265,
            0.0516850762,
            0.0524146259,
            0.0531441756,
            0.0538737252,
            0.0546032749,
            0.0553328246,
            0.0560623743,
            0.0567919239,
            0.0575214736,
            0.0582510233,
            0.058980573,
            0.0597101226,
            0.0604396686,
            0.0603994578,
            0.0596699081,
            0.0589403585,
            0.0582108125,
            0.0574812591,
            0.0567517132,
            0.0560221635,
            0.0552926138,
            0.0545630641,
            0.0538335145,
            0.0531039648,
            0.0523744151,
            0.0516448654,
            0.0509153157,
            0.0501857661,
            0.0494562164,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0488185771,
            0.0480890274,
            0.0473594777,
            0.0466299281,
            0.0459003784,
            0.0451708287,
            0.044441279,
            0.0437117293,
            0.0429821797,
            0.04225263,
            0.0415230803,
            0.0407935306,
            0.0400639847,
            0.0393344313,
            0.0386048853,
            0.0378753319,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372721627,
            0.0380017124,
            0.0387312621,
            0.0394608118,
            0.0401903614,
            0.0409199111,
            0.0416494608,
            0.0423790105,
            0.0431085601,
            0.0438381098,
            0.0445676595,
            0.0452972092,
            0.0460267588,
            0.0467563085,
            0.0474858582,
            0.0482154079,
            0.0489449576,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0485485867,
            0.047819037,
            0.0470894873,
            0.0463599376,
            0.045630388,
            0.0449008383,
            0.0441712886,
            0.0434417389,
            0.0427121893,
            0.0419826396,
            0.0412530899,
            0.0405235402,
            0.0397939906,
            0.0390644446,
            0.0383348912,
            0.0376053452,
            0.0368757918,
            0.0361462422,
            0.0354166925,
            0.0346871465,
            0.0339575969,
            0.0332280472,
            0.0324984975,
            0.0317689478,
            0.0310393963,
            0.0303098466,
            0.0295802988,
            0.0288507491,
            0.0281211995,
            0.0273916498,
            0.0266621001,
            0.0259325504,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0252949111,
            0.0245653614,
            0.0238358118,
            0.0231062621,
            0.0223767143,
            0.0216471646,
            0.0209176149,
            0.0201880652,
            0.0194585156,
            0.0187289659,
            0.0179994162,
            0.0172698665,
            0.0165403169,
            0.0158107672,
            0.0150812175,
            0.0143516678,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0131683042,
            0.0124387546,
            0.0117092049,
            0.0109796552,
            0.0102501055,
            0.00952055678,
            0.0087910071,
            0.00806145743,
            0.00733190728,
            0.00660235807,
            0.0058728084,
            0.00514325872,
            0.00441370904,
            0.00368415937,
            0.00295460969,
            0.00222506002,
            0.00242611719,
            0.00315566687,
            0.00388521655,
            0.00461476576,
            0.00534431543,
            0.00607386511,
            0.00680341478,
            0.00753296446,
            0.00826251414,
            0.00899206381,
            0.00972161256,
            0.0104511632,
            0.0111807119,
            0.0119102616,
            0.0126398113,
            0.0133693609,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0139150871,
            0.0146446368,
            0.0153741864,
            0.0161037352,
            0.0168332849,
            0.0175628345,
            0.0182923842,
            0.0190219339,
            0.0197514836,
            0.0204810333,
            0.0212105829,
            0.0219401326,
            0.0226696823,
            0.023399232,
            0.0241287816,
            0.0248583313,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0248468425,
            0.0241172928,
            0.0233877432,
            0.0226581935,
            0.0219286438,
            0.0211990941,
            0.0204695445,
            0.0197399948,
            0.0190104451,
            0.0182808954,
            0.0175513458,
            0.0168217979,
            0.0160922483,
            0.0153626977,
            0.014633148,
            0.0139035983,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0141850784,
            0.0149146272,
            0.0156441778,
            0.0163737275,
            0.0171032771,
            0.0178328268,
            0.0185623765,
            0.0192919262,
            0.0200214759,
            0.0207510237,
            0.0214805733,
            0.022210123,
            0.0229396727,
            0.0236692224,
            0.024398772,
            0.0251283217,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0256740488,
            0.0264035966,
            0.0271331463,
            0.027862696,
            0.0285922457,
            0.0293217953,
            0.030051345,
            0.0307808947,
            0.0315104425,
            0.0322399959,
            0.0329695418,
            0.0336990952,
            0.0344286412,
            0.0351581946,
            0.0358877406,
            0.036617294,
            0.0373468399,
            0.0380763896,
            0.0388059393,
            0.0395354889,
            0.0402650386,
            0.0409945883,
            0.041724138,
            0.0424536876,
            0.0431832373,
            0.043912787,
            0.0446423367,
            0.0453718863,
            0.046101436,
            0.0468309857,
            0.0475605354,
            0.048290085
          ],
          [
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0366172902,
            0.0358877406,
            0.0351581909,
            0.0344286412,
            0.0336990952,
            0.0329695418,
            0.0322399959,
            0.0315104425,
            0.0307808947,
            0.030051345,
            0.0293217972,
            0.0285922475,
            0.0278626978,
            0.0271331482,
            0.0264035985,
            0.0256740488,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0256683026,
            0.0263978522,
            0.0271274019,
            0.0278569516,
            0.0285865013,
            0.0293160509,
            0.0300456006,
            0.0307751503,
            0.0315046981,
            0.0322342515,
            0.0329637975,
            0.0336933509,
            0.0344228968,
            0.0351524502,
            0.0358819962,
            0.0366115496,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0379787348,
            0.0387082845,
            0.0394378342,
            0.0401673838,
            0.0408969335,
            0.0416264832,
            0.0423560329,
            0.0430855826,
            0.0438151322,
            0.0445446819,
            0.0452742316,
            0.0460037813,
            0.0467333309,
            0.0474628806,
            0.0481924266,
            0.04892198,
            0.0496515296,
            0.0503810793,
            0.0511106253,
            0.0518401787,
            0.0525697246,
            0.053299278,
            0.054028824,
            0.0547583736,
            0.0554879233,
            0.056217473,
            0.0569470227,
            0.0576765724,
            0.058406122,
            0.0591356717,
            0.0598652214,
            0.0605947711,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0605200939,
            0.0597905442,
            0.0590609945,
            0.0583314449,
            0.0576018952,
            0.0568723455,
            0.0561427958,
            0.0554132462,
            0.0546836965,
            0.0539541468,
            0.0532245971,
            0.0524950475,
            0.0517654978,
            0.0510359481,
            0.0503063984,
            0.0495768487,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0491000563,
            0.049829606,
            0.0505591556,
            0.0512887053,
            0.052018255,
            0.0527478047,
            0.0534773543,
            0.054206904,
            0.0549364537,
            0.0556660034,
            0.0563955531,
            0.0571251027,
            0.0578546524,
            0.0585842021,
            0.0593137518,
            0.0600433014,
            0.0607728511,
            0.0617417544,
            0.0627144873,
            0.0636872202,
            0.0646599531,
            0.065632686,
            0.0666054189,
            0.0675781518,
            0.0685508847,
            0.0695236176,
            0.0704963505,
            0.0714690834,
            0.0724418163,
            0.0734145492,
            0.0743872821,
            0.075360015,
            0.0763327479,
            0.0777229145,
            0.0791820139,
            0.0806411058,
            0.0821002126,
            0.0835593045,
            0.0850184113,
            0.0864775032,
            0.0879366025,
            0.0893957019,
            0.0908548012,
            0.0923139006,
            0.0937729999,
            0.0952320993,
            0.0966911986,
            0.098150298,
            0.0996093974,
            0.101068497,
            0.102527596,
            0.103986695,
            0.105445795,
            0.106904894,
            0.108363993,
            0.109823093,
            0.111282192,
            0.112741292,
            0.114200391,
            0.11565949,
            0.11711859,
            0.118577689,
            0.120036788,
            0.121495888,
            0.122954987,
            0.124561526,
            0.126263812,
            0.127966091,
            0.12966837,
            0.131370664,
            0.133072942,
            0.134775221,
            0.1364775,
            0.138179779,
            0.139882073,
            0.141584352,
            0.143286631,
            0.144988909,
            0.146691203,
            0.148393482,
            0.150095761,
            0.151330829,
            0.152060375,
            0.152789935,
            0.153519481,
            0.154249042,
            0.154978588,
            0.155708149,
            0.156437695,
            0.157167256,
            0.157896802,
            0.158626363,
            0.159355909,
            0.160085469,
            0.160815015,
            0.161544576,
            0.162274122,
            0.163003683,
            0.163733229,
            0.164462775,
            0.165192321,
            0.165921867,
            0.166651413,
            0.167380959,
            0.168110505,
            0.168840051,
            0.169569597,
            0.170299143,
            0.171028689,
            0.171758235,
            0.17248778,
            0.173217326,
            0.173946872,
            0.174676418,
            0.175405964,
            0.17613551,
            0.176865056,
            0.177594617,
            0.178324163,
            0.179053709,
            0.179783255,
            0.180512816,
            0.181242362,
            0.181971908,
            0.182701454,
            0.183431014,
            0.18416056,
            0.184890106,
            0.185619652,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185746029,
            0.185016483,
            0.184286937,
            0.183557391,
            0.18282783,
            0.182098284,
            0.181368738,
            0.180639192,
            0.179909647,
            0.179180086,
            0.17845054,
            0.177720994,
            0.176991433,
            0.176261887,
            0.175532341,
            0.174802795,
            0.174073249,
            0.173343703,
            0.172614157,
            0.171884611,
            0.171155065,
            0.170425519,
            0.169695973,
            0.168966427,
            0.168236881,
            0.167507336,
            0.16677779,
            0.166048244,
            0.165318698,
            0.164589152,
            0.163859606,
            0.16313006,
            0.162400514,
            0.161670953,
            0.160941407,
            0.160211846,
            0.1594823,
            0.158752739,
            0.158023193,
            0.157293633,
            0.156564087,
            0.155834526,
            0.15510498,
            0.154375419,
            0.153645873,
            0.152916312,
            0.152186766,
            0.151457205,
            0.150727659,
            0.149998099,
            0.149268553,
            0.148539007,
            0.147809461,
            0.147079915,
            0.146350354,
            0.145620808,
            0.144891262,
            0.144161716,
            0.143432155,
            0.142702609,
            0.141973063,
            0.141243517,
            0.140513957,
            0.139784411,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139830366,
            0.140559912,
            0.141289473,
            0.142019019,
            0.142748564,
            0.14347811,
            0.144207671,
            0.144937217,
            0.145666763,
            0.146396309,
            0.14712587,
            0.147855416,
            0.148584962,
            0.149314508,
            0.150044069,
            0.150773615,
            0.151503161,
            0.152232721,
            0.152962267,
            0.153691828,
            0.154421374,
            0.155150935,
            0.155880481,
            0.156610042,
            0.157339588,
            0.158069149,
            0.158798695,
            0.159528255,
            0.160257801,
            0.160987362,
            0.161716908,
            0.162446469,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162498161,
            0.161768615,
            0.161039054,
            0.160309508,
            0.159579948,
            0.158850402,
            0.158120841,
            0.157391295,
            0.156661734,
            0.155932188,
            0.155202627,
            0.154473081,
            0.15374352,
            0.153013974,
            0.152284414,
            0.151554868,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151043609,
            0.151773155,
            0.152502716,
            0.153232262,
            0.153961822,
            0.154691368,
            0.155420929,
            0.156150475,
            0.156880036,
            0.157609582,
            0.158339143,
            0.159068689,
            0.159798235,
            0.160527796,
            0.161257356,
            0.161986902,
            0.162716448,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162136257,
            0.161406711,
            0.16067715,
            0.159947604,
            0.159218043,
            0.158488497,
            0.157758936,
            0.15702939,
            0.156299829,
            0.155570284,
            0.154840723,
            0.154111177,
            0.153381616,
            0.15265207,
            0.151922509,
            0.151192963,
            0.150463402,
            0.149733856,
            0.14900431,
            0.148274764,
            0.147545218,
            0.146815658,
            0.146086112,
            0.145356566,
            0.14462702,
            0.143897459,
            0.143167913,
            0.142438367,
            0.141708821,
            0.14097926,
            0.140249714,
            0.139520168,
            0.138648912,
            0.137676179,
            0.136703447,
            0.135730714,
            0.134757981,
            0.133785248,
            0.132812515,
            0.131839782,
            0.130867064,
            0.129894316,
            0.128921598,
            0.12794885,
            0.126976132,
            0.126003385,
            0.125030667,
            0.124057926,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.12328817,
            0.122558616,
            0.12182907,
            0.121099517,
            0.120369971,
            0.119640417,
            0.118910871,
            0.118181318,
            0.117451772,
            0.116722219,
            0.115992673,
            0.115263119,
            0.114533573,
            0.11380402,
            0.113074474,
            0.112344921,
            0.111615375,
            0.110885821,
            0.110156275,
            0.109426722,
            0.108697176,
            0.107967623,
            0.107238077,
            0.106508523,
            0.105778977,
            0.105049424,
            0.104319878,
            0.103590325,
            0.102860779,
            0.102131225,
            0.101401679,
            0.100672126,
            0.0999425799,
            0.0992130265,
            0.0984834805,
            0.0977539271,
            0.0970243812,
            0.0962948278,
            0.0955652818,
            0.0948357284,
            0.0941061825,
            0.0933766365,
            0.0926470831,
            0.0919175297,
            0.0911879838,
            0.0904584378,
            0.0897288844,
            0.088999331,
            0.088269785,
            0.0875402391,
            0.0868106857,
            0.0860811397,
            0.0853515863,
            0.0846220404,
            0.083892487,
            0.083162941,
            0.0824333876,
            0.0817038417,
            0.0809742883,
            0.0802447423,
            0.0795151889,
            0.078785643,
            0.0780560896,
            0.0773265436,
            0.0765969902,
            0.0750632137,
            0.0733609349,
            0.0716586486,
            0.0699563697,
            0.0682540834,
            0.0665518045,
            0.0648495182,
            0.0631472394,
            0.0614449568,
            0.0597426742,
            0.0580403917,
            0.0563381091,
            0.0546358265,
            0.0529335439,
            0.0512312613,
            0.0495289788,
            0.047997117,
            0.0465380177,
            0.0450789183,
            0.043619819,
            0.0421607196,
            0.0407016203,
            0.0392425209,
            0.0377834216,
            0.0363243222,
            0.0348652229,
            0.0334061235,
            0.0319470242,
            0.0304879267,
            0.0290288273,
            0.027569728,
            0.0261106286,
            0.0240924004,
            0.0216605682,
            0.0192287359,
            0.0167969037,
            0.0143650714,
            0.0119332401,
            0.00950140879,
            0.00706957653,
            0.00463774428,
            0.00220591202,
            -0.00022592023,
            -0.00265775248,
            -0.00508958474,
            -0.00752141699,
            -0.00995324925,
            -0.0123850815,
            -0.0147077665,
            -0.0168964155,
            -0.0190850645,
            -0.0212737136,
            -0.0234623626,
            -0.0256510116,
            -0.0278396588,
            -0.0300283078,
            -0.0322169587,
            -0.034405604,
            -0.0365942568,
            -0.0387829021,
            -0.0409715511,
            -0.0431602001,
            -0.0453488491,
            -0.0475374982,
            -0.0495691299,
            -0.0512714125,
            -0.0529736951,
            -0.0546759777,
            -0.0563782603,
            -0.0580805428,
            -0.0597828254,
            -0.061485108,
            -0.0631873906,
            -0.0648896694,
            -0.0665919557,
            -0.0682942346,
            -0.0699965209,
            -0.0716987997,
            -0.073401086,
            -0.0751033649,
            -0.0767577812,
            -0.0782168806,
            -0.0796759799,
            -0.0811350793,
            -0.0825941712,
            -0.084053278,
            -0.0855123699,
            -0.0869714692,
            -0.0884305686,
            -0.0898896679,
            -0.0913487673,
            -0.0928078666,
            -0.094266966,
            -0.0957260653,
            -0.0971851647,
            -0.098644264,
            -0.100051664,
            -0.10078121,
            -0.101510763,
            -0.102240309,
            -0.102969855,
            -0.103699401,
            -0.104428947,
            -0.1051585,
            -0.105888046,
            -0.106617592,
            -0.107347146,
            -0.108076692,
            -0.108806238,
            -0.109535784,
            -0.110265329,
            -0.110994883,
            -0.111724429,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111259125,
            -0.110529579,
            -0.109800033,
            -0.10907048,
            -0.108340934,
            -0.107611388,
            -0.106881842,
            -0.106152289,
            -0.105422743,
            -0.104693197,
            -0.103963651,
            -0.103234097,
            -0.102504551,
            -0.101775005,
            -0.10104546,
            -0.100315914,
            -0.0995863602,
            -0.0988568142,
            -0.0981272608,
            -0.0973977149,
            -0.0966681615,
            -0.0959386155,
            -0.0952090621,
            -0.0944795161,
            -0.0937499627,
            -0.0930204168,
            -0.0922908634,
            -0.0915613174,
            -0.090831764,
            -0.0901022181,
            -0.0893726647,
            -0.0886431187,
            -0.0874846429,
            -0.085782364,
            -0.0840800852,
            -0.0823777989,
            -0.08067552,
            -0.0789732337,
            -0.0772709548,
            -0.0755686685,
            -0.0738663897,
            -0.0721641034,
            -0.0704618245,
            -0.0687595382,
            -0.0670572594,
            -0.0653549731,
            -0.0636526942,
            -0.0619504116,
            -0.0605545007,
            -0.059824951,
            -0.0590954013,
            -0.0583658516,
            -0.057636302,
            -0.0569067523,
            -0.0561772026,
            -0.0554476529,
            -0.0547181033,
            -0.0539885536,
            -0.0532590039,
            -0.0525294542,
            -0.0517999046,
            -0.0510703549,
            -0.0503408089,
            -0.0496112555,
            -0.0488817059,
            -0.0481521562,
            -0.0474226102,
            -0.0466930568,
            -0.0459635109,
            -0.0452339612,
            -0.0445044115,
            -0.0437748618,
            -0.0430453122,
            -0.0423157625,
            -0.0415862128,
            -0.0408566631,
            -0.0401271135,
            -0.0393975638,
            -0.0386680141,
            -0.0379384644,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0378465503,
            -0.0385761,
            -0.0393056497,
            -0.0400351994,
            -0.0407647491,
            -0.0414942987,
            -0.0422238484,
            -0.0429533981,
            -0.0436829478,
            -0.0444124974,
            -0.0451420471,
            -0.0458715968,
            -0.0466011465,
            -0.0473306961,
            -0.0480602458,
            -0.0487897955,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0486117154,
            -0.0478821658,
            -0.0471526161,
            -0.0464230664,
            -0.0456935167,
            -0.0449639708,
            -0.0442344174,
            -0.0435048714,
            -0.042775318,
            -0.0420457721,
            -0.0413162224,
            -0.0405866727,
            -0.0398571193,
            -0.0391275734,
            -0.0383980237,
            -0.037668474,
            -0.036622975,
            -0.0351638794,
            -0.03370478,
            -0.0322456807,
            -0.0307865795,
            -0.029327482,
            -0.0278683826,
            -0.0264092833,
            -0.0249501839,
            -0.0234910846,
            -0.0220319852,
            -0.0205728859,
            -0.0191137865,
            -0.0176546872,
            -0.0161955878,
            -0.0147364885,
            -0.0134267462,
            -0.0124540133,
            -0.0114812814,
            -0.0105085485,
            -0.00953581557,
            -0.00856308267,
            -0.00759034976,
            -0.00661761686,
            -0.00564488396,
            -0.00467215106,
            -0.00369941816,
            -0.00272668526,
            -0.00175395329,
            -0.000781220384,
            0.000191512518,
            0.00116424542,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00200102548,
            0.00273057492,
            0.0034601246,
            0.00418967428,
            0.00491922349,
            0.00564877316,
            0.00637832284,
            0.00710787252,
            0.00783742219,
            0.00856697187,
            0.00929652154,
            0.0100260712,
            0.0107556209,
            0.0114851696,
            0.0122147193,
            0.012944269,
            0.0136738187,
            0.0144033683,
            0.015132918,
            0.0158624686,
            0.0165920164,
            0.0173215661,
            0.0180511158,
            0.0187806655,
            0.0195102151,
            0.0202397648,
            0.0209693145,
            0.0216988642,
            0.0224284139,
            0.0231579635,
            0.0238875132,
            0.0246170629,
            0.0253466126,
            0.0260761622,
            0.0268057119,
            0.0275352616,
            0.0282648113,
            0.0289943609,
            0.0297239088,
            0.0304534584,
            0.0311830081,
            0.0319125578,
            0.0326421075,
            0.0333716571,
            0.0341012068,
            0.0348307565,
            0.0355603062,
            0.0362898558,
            0.0370194055,
            0.0377489552,
            0.0384785049,
            0.0392080545,
            0.0399376042,
            0.0406671539,
            0.0413967036,
            0.0421262532,
            0.0428558029,
            0.0435853526,
            0.0443149023,
            0.045044452,
            0.0457740016,
            0.0465035513,
            0.047233101,
            0.0479626507,
            0.0486922003,
            0.04942175,
            0.0501512997,
            0.0508808494,
            0.051610399,
            0.0523399487,
            0.0530694947,
            0.0537990481,
            0.054528594,
            0.0552581474,
            0.0559876934,
            0.056717243,
            0.0574467927,
            0.0581763424,
            0.0589058921,
            0.0596354418,
            0.0603649914,
            0.0615081452,
            0.0632104278,
            0.0649127066,
            0.0666149929,
            0.0683172718,
            0.0700195581,
            0.0717218369,
            0.0734241232,
            0.0751264021,
            0.0768286884,
            0.0785309672,
            0.0802332535,
            0.0819355324,
            0.0836378187,
            0.0853400975,
            0.0870423764,
            0.0884536058,
            0.0891831592,
            0.0899127051,
            0.0906422585,
            0.0913718045,
            0.0921013579,
            0.0928309038,
            0.0935604572,
            0.0942900032,
            0.0950195566,
            0.0957491025,
            0.0964786559,
            0.0972082019,
            0.0979377553,
            0.0986673012,
            0.0993968546,
            0.100126401,
            0.100855954,
            0.1015855,
            0.102315053,
            0.103044599,
            0.103774153,
            0.104503699,
            0.105233252,
            0.105962798,
            0.106692351,
            0.107421897,
            0.108151451,
            0.108880997,
            0.10961055,
            0.110340096,
            0.111069649,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111092627,
            0.110363074,
            0.109633528,
            0.108903974,
            0.108174428,
            0.107444875,
            0.106715329,
            0.105985776,
            0.10525623,
            0.104526676,
            0.10379713,
            0.103067577,
            0.102338031,
            0.101608478,
            0.100878932,
            0.100149378,
            0.0994198322,
            0.0986902788,
            0.0979607329,
            0.0972311795,
            0.0965016335,
            0.0957720801,
            0.0950425342,
            0.0943129808,
            0.0935834348,
            0.0928538814,
            0.0921243355,
            0.0913947821,
            0.0906652361,
            0.0899356902,
            0.0892061368,
            0.0884765834,
            0.0877470374,
            0.0870174915,
            0.0862879381,
            0.0855583921,
            0.0848288387,
            0.0840992928,
            0.0833697394,
            0.0826401934,
            0.08191064,
            0.0811810941,
            0.0804515406,
            0.0797219947,
            0.0789924413,
            0.0782628953,
            0.0775333419,
            0.076803796,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0763097703,
            0.0753370374,
            0.0743643045,
            0.0733915716,
            0.0724188387,
            0.0714461058,
            0.0704733729,
            0.06950064,
            0.0685279071,
            0.0675551742,
            0.0665824413,
            0.0656097084,
            0.0646369755,
            0.0636642426,
            0.0626915097,
            0.0617187768,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0601179786,
            0.0593884289,
            0.0586588793,
            0.0579293296,
            0.0571997799,
            0.0564702302,
            0.0557406805,
            0.0550111309,
            0.0542815849,
            0.0535520315,
            0.0528224856,
            0.0520929322,
            0.0513633862,
            0.0506338328,
            0.0499042869,
            0.0491747372,
            0.0484451875,
            0.0477156378,
            0.0469860882,
            0.0462565385,
            0.0455269888,
            0.0447974391,
            0.0440678895,
            0.0433383398,
            0.0426087901,
            0.0418792404,
            0.0411496907,
            0.0404201411,
            0.0396905914,
            0.0389610417,
            0.038231492,
            0.0375019424,
            0.0367723927,
            0.036042843,
            0.0353132933,
            0.0345837437,
            0.033854194,
            0.0331246443,
            0.0323950946,
            0.031665545,
            0.0309359953,
            0.0302064456,
            0.0294768959,
            0.0287473463,
            0.0280177966,
            0.0272882469,
            0.0265586972,
            0.0258291494,
            0.0250995997,
            0.0243700501,
            0.0236405004,
            0.0229109507,
            0.022181401,
            0.0214518514,
            0.0207223017,
            0.019992752,
            0.0192632023,
            0.0185336526,
            0.017804103,
            0.0170745552,
            0.0163450055,
            0.0156154549,
            0.0148859052,
            0.0141563555,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0139323203,
            0.01466187,
            0.0153914196,
            0.0161209702,
            0.0168505199,
            0.0175800696,
            0.0183096193,
            0.0190391671,
            0.0197687168,
            0.0204982664,
            0.0212278161,
            0.0219573658,
            0.0226869155,
            0.0234164651,
            0.0241460148,
            0.0248755645,
            0.0256051142,
            0.0263346639,
            0.0270642135,
            0.0277937632,
            0.0285233129,
            0.0292528626,
            0.0299824122,
            0.03071196,
            0.0314415097,
            0.0321710594,
            0.0329006091,
            0.0336301588,
            0.0343597084,
            0.0350892581,
            0.0358188078,
            0.0365483575,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.037731722,
            0.0384612717,
            0.0391908213,
            0.039920371,
            0.0406499207,
            0.0413794704,
            0.0421090201,
            0.0428385697,
            0.0435681194,
            0.0442976691,
            0.0450272188,
            0.0457567684,
            0.0464863181,
            0.0472158678,
            0.0479454175,
            0.0486749634,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0485485867,
            0.047819037,
            0.0470894873,
            0.0463599376,
            0.045630388,
            0.0449008383,
            0.0441712886,
            0.0434417389,
            0.0427121893,
            0.0419826396,
            0.0412530899,
            0.0405235402,
            0.0397939906,
            0.0390644446,
            0.0383348912,
            0.0376053452,
            0.0368757918,
            0.0361462422,
            0.0354166925,
            0.0346871465,
            0.0339575969,
            0.0332280472,
            0.0324984975,
            0.0317689478,
            0.0310393963,
            0.0303098466,
            0.0295802988,
            0.0288507491,
            0.0281211995,
            0.0273916498,
            0.0266621001,
            0.0259325504,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0252949111,
            0.0245653614,
            0.0238358118,
            0.0231062621,
            0.0223767143,
            0.0216471646,
            0.0209176149,
            0.0201880652,
            0.0194585156,
            0.0187289659,
            0.0179994162,
            0.0172698665,
            0.0165403169,
            0.0158107672,
            0.0150812175,
            0.0143516678,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137140304,
            0.0129844807,
            0.012254931,
            0.0115253814,
            0.0107958317,
            0.010066282,
            0.00933673233,
            0.00860718265,
            0.00787763298,
            0.00714808377,
            0.00641853455,
            0.00568898488,
            0.0049594352,
            0.00422988553,
            0.00350033585,
            0.00277078617,
            0.0020412365,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00242611719,
            0.00315566687,
            0.00388521655,
            0.00461476576,
            0.00534431543,
            0.00607386511,
            0.00680341478,
            0.00753296446,
            0.00826251414,
            0.00899206381,
            0.00972161256,
            0.0104511632,
            0.0111807119,
            0.0119102616,
            0.0126398113,
            0.0133693609,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0139150871,
            0.0146446368,
            0.0153741864,
            0.0161037352,
            0.0168332849,
            0.0175628345,
            0.0182923842,
            0.0190219339,
            0.0197514836,
            0.0204810333,
            0.0212105829,
            0.0219401326,
            0.0226696823,
            0.023399232,
            0.0241287816,
            0.0248583313,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.02548448,
            0.0247549303,
            0.0240253806,
            0.0232958309,
            0.0225662813,
            0.0218367316,
            0.0211071819,
            0.0203776322,
            0.0196480826,
            0.0189185329,
            0.0181889832,
            0.0174594335,
            0.0167298838,
            0.0160003342,
            0.0152707854,
            0.0145412358,
            0.0138116861,
            0.0130821373,
            0.0123525877,
            0.011623038,
            0.0108934883,
            0.0101639386,
            0.00943438895,
            0.00870483927,
            0.0079752896,
            0.00724573992,
            0.00651619071,
            0.00578664057,
            0.00505709182,
            0.00432754215,
            0.00359799247,
            0.0028684428,
            0.00213889312,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.0024203728,
            0.00314992247,
            0.00387947191,
            0.00460902136,
            0.00533857103,
            0.00606812071,
            0.00679767039,
            0.00752722006,
            0.00825676974,
            0.00898631848,
            0.00971586816,
            0.0104454178,
            0.0111749675,
            0.0119045172,
            0.0126340669,
            0.0133636165,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0139093427,
            0.0146388924,
            0.0153684421,
            0.0160979908,
            0.0168275405,
            0.0175570901,
            0.0182866398,
            0.0190161895,
            0.0197457392,
            0.0204752889,
            0.0212048385,
            0.0219343882,
            0.0226639379,
            0.0233934876,
            0.0241230372,
            0.0248525869,
            0.0255821366,
            0.0263116863,
            0.0270412359,
            0.0277707856,
            0.0285003334,
            0.0292298831,
            0.0299594328,
            0.0306889825,
            0.0314185321,
            0.0321480818,
            0.0328776315,
            0.0336071812,
            0.0343367308,
            0.0350662805,
            0.0357958302,
            0.0365253799
          ],
          [
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0130878817,
            0.0123583321,
            0.0116287824,
            0.0108992327,
            0.010169683,
            0.00944013335,
            0.00871058367,
            0.007981034,
            0.00725148479,
            0.00652193511,
            0.0057923859,
            0.00506283622,
            0.00433328655,
            0.00360373687,
            0.00287418719,
            0.00214463752,
            0.00250654016,
            0.0032360896,
            0.00396563951,
            0.00469518872,
            0.0054247384,
            0.00615428807,
            0.00688383775,
            0.00761338696,
            0.00834293664,
            0.00907248631,
            0.00980203599,
            0.0105315857,
            0.0112611353,
            0.011990685,
            0.0127202347,
            0.0134497844,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0139035983,
            0.014633148,
            0.0153626977,
            0.0160922464,
            0.0168217961,
            0.0175513458,
            0.0182808954,
            0.0190104451,
            0.0197399948,
            0.0204695445,
            0.0211990941,
            0.0219286438,
            0.0226581935,
            0.0233877432,
            0.0241172928,
            0.0248468425,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0269378349,
            0.0283969343,
            0.0298560336,
            0.031315133,
            0.0327742323,
            0.0342333317,
            0.035692431,
            0.0371515304,
            0.0386106297,
            0.0400697291,
            0.0415288284,
            0.0429879278,
            0.0444470271,
            0.0459061265,
            0.0473652221,
            0.0488243215,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0491000563,
            0.049829606,
            0.0505591556,
            0.0512887053,
            0.052018255,
            0.0527478047,
            0.0534773543,
            0.054206904,
            0.0549364537,
            0.0556660034,
            0.0563955531,
            0.0571251027,
            0.0578546524,
            0.0585842021,
            0.0593137518,
            0.0600433014,
            0.0607728511,
            0.0624598153,
            0.0641620979,
            0.0658643767,
            0.067566663,
            0.0692689419,
            0.0709712282,
            0.072673507,
            0.0743757933,
            0.0760780722,
            0.0777803585,
            0.0794826373,
            0.0811849236,
            0.0828872025,
            0.0845894814,
            0.0862917677,
            0.087994054,
            0.0888614655,
            0.0895910189,
            0.0903205648,
            0.0910501182,
            0.0917796642,
            0.0925092176,
            0.0932387635,
            0.0939683169,
            0.0946978629,
            0.0954274163,
            0.0961569622,
            0.0968865156,
            0.0976160616,
            0.098345615,
            0.0990751609,
            0.0998047143,
            0.101068497,
            0.102527596,
            0.103986695,
            0.105445795,
            0.106904894,
            0.108363993,
            0.109823093,
            0.111282192,
            0.112741292,
            0.114200391,
            0.11565949,
            0.11711859,
            0.118577689,
            0.120036788,
            0.121495888,
            0.122954987,
            0.124561526,
            0.126263812,
            0.127966091,
            0.12966837,
            0.131370664,
            0.133072942,
            0.134775221,
            0.1364775,
            0.138179779,
            0.139882073,
            0.141584352,
            0.143286631,
            0.144988909,
            0.146691203,
            0.148393482,
            0.150095761,
            0.151330829,
            0.152060375,
            0.152789935,
            0.153519481,
            0.154249042,
            0.154978588,
            0.155708149,
            0.156437695,
            0.157167256,
            0.157896802,
            0.158626363,
            0.159355909,
            0.160085469,
            0.160815015,
            0.161544576,
            0.162274122,
            0.163003683,
            0.163733229,
            0.164462775,
            0.165192321,
            0.165921867,
            0.166651413,
            0.167380959,
            0.168110505,
            0.168840051,
            0.169569597,
            0.170299143,
            0.171028689,
            0.171758235,
            0.17248778,
            0.173217326,
            0.173946872,
            0.174676418,
            0.175405964,
            0.17613551,
            0.176865056,
            0.177594617,
            0.178324163,
            0.179053709,
            0.179783255,
            0.180512816,
            0.181242362,
            0.181971908,
            0.182701454,
            0.183431014,
            0.18416056,
            0.184890106,
            0.185619652,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185746029,
            0.185016483,
            0.184286937,
            0.183557391,
            0.18282783,
            0.182098284,
            0.181368738,
            0.180639192,
            0.179909647,
            0.179180086,
            0.17845054,
            0.177720994,
            0.176991433,
            0.176261887,
            0.175532341,
            0.174802795,
            0.174073249,
            0.173343703,
            0.172614157,
            0.171884611,
            0.171155065,
            0.170425519,
            0.169695973,
            0.168966427,
            0.168236881,
            0.167507336,
            0.16677779,
            0.166048244,
            0.165318698,
            0.164589152,
            0.163859606,
            0.16313006,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162239656,
            0.160780564,
            0.159321457,
            0.15786235,
            0.156403244,
            0.154944152,
            0.153485045,
            0.152025938,
            0.150566846,
            0.149107739,
            0.147648633,
            0.146189526,
            0.144730419,
            0.143271327,
            0.14181222,
            0.140353113,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139738455,
            0.140468001,
            0.141197562,
            0.141927108,
            0.142656654,
            0.1433862,
            0.144115746,
            0.144845307,
            0.145574853,
            0.146304399,
            0.14703396,
            0.147763506,
            0.148493052,
            0.149222597,
            0.149952143,
            0.150681704,
            0.15141125,
            0.152140811,
            0.152870357,
            0.153599918,
            0.154329464,
            0.155059025,
            0.155788571,
            0.156518131,
            0.157247677,
            0.157977223,
            0.158706784,
            0.159436345,
            0.160165891,
            0.160895437,
            0.161624998,
            0.162354559,
            0.163084105,
            0.163813651,
            0.164543197,
            0.165272743,
            0.166002288,
            0.166731834,
            0.16746138,
            0.168190926,
            0.168920472,
            0.169650018,
            0.170379564,
            0.17110911,
            0.171838656,
            0.172568202,
            0.173297748,
            0.174027294,
            0.174262807,
            0.173533261,
            0.172803715,
            0.172074169,
            0.171344623,
            0.170615077,
            0.169885531,
            0.169155985,
            0.168426439,
            0.167696893,
            0.166967347,
            0.166237801,
            0.165508255,
            0.164778709,
            0.164049163,
            0.163319618,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162136257,
            0.161406711,
            0.16067715,
            0.159947604,
            0.159218043,
            0.158488497,
            0.157758936,
            0.15702939,
            0.156299829,
            0.155570284,
            0.154840723,
            0.154111177,
            0.153381616,
            0.15265207,
            0.151922509,
            0.151192963,
            0.150463402,
            0.149733856,
            0.14900431,
            0.148274764,
            0.147545218,
            0.146815658,
            0.146086112,
            0.145356566,
            0.14462702,
            0.143897459,
            0.143167913,
            0.142438367,
            0.141708821,
            0.14097926,
            0.140249714,
            0.139520168,
            0.138648912,
            0.137676179,
            0.136703447,
            0.135730714,
            0.134757981,
            0.133785248,
            0.132812515,
            0.131839782,
            0.130867064,
            0.129894316,
            0.128921598,
            0.12794885,
            0.126976132,
            0.126003385,
            0.125030667,
            0.124057926,
            0.123196252,
            0.122466706,
            0.121737152,
            0.121007606,
            0.120278053,
            0.119548507,
            0.118818954,
            0.118089408,
            0.117359854,
            0.116630308,
            0.115900755,
            0.115171209,
            0.114441663,
            0.11371211,
            0.112982556,
            0.11225301,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111707285,
            0.110977732,
            0.110248186,
            0.109518632,
            0.108789086,
            0.108059533,
            0.107329987,
            0.106600434,
            0.105870888,
            0.105141342,
            0.104411788,
            0.103682235,
            0.102952689,
            0.102223143,
            0.10149359,
            0.100764036,
            0.10003449,
            0.0986098573,
            0.0971507579,
            0.0956916586,
            0.0942325592,
            0.0927734599,
            0.0913143605,
            0.0898552611,
            0.0883961618,
            0.0869370624,
            0.0854779631,
            0.0840188712,
            0.0825597644,
            0.0811006725,
            0.0796415657,
            0.0781824738,
            0.076723367,
            0.0750632137,
            0.0733609349,
            0.0716586486,
            0.0699563697,
            0.0682540834,
            0.0665518045,
            0.0648495182,
            0.0631472394,
            0.0614449568,
            0.0597426742,
            0.0580403917,
            0.0563381091,
            0.0546358265,
            0.0529335439,
            0.0512312613,
            0.0495289788,
            0.047997117,
            0.0465380177,
            0.0450789183,
            0.043619819,
            0.0421607196,
            0.0407016203,
            0.0392425209,
            0.0377834216,
            0.0363243222,
            0.0348652229,
            0.0334061235,
            0.0319470242,
            0.0304879267,
            0.0290288273,
            0.027569728,
            0.0261106286,
            0.0246515293,
            0.0231924299,
            0.0217333306,
            0.0202742331,
            0.0188151337,
            0.0173560344,
            0.015896935,
            0.0144378357,
            0.0129787363,
            0.011519637,
            0.0100605376,
            0.00860143825,
            0.0071423389,
            0.00568323955,
            0.0042241402,
            0.00276504271,
            0.000869361917,
            -0.0015624701,
            -0.00399430189,
            -0.00642613415,
            -0.0088579664,
            -0.0112897977,
            -0.01372163,
            -0.0161534622,
            -0.0185852945,
            -0.0210171267,
            -0.0234489571,
            -0.0258807894,
            -0.0283126216,
            -0.030744452,
            -0.0331762843,
            -0.0356081165,
            -0.037725918,
            -0.0391850173,
            -0.0406441167,
            -0.0421032161,
            -0.0435623154,
            -0.0450214148,
            -0.0464805141,
            -0.0479396135,
            -0.0493987128,
            -0.0508578122,
            -0.0523169115,
            -0.0537760109,
            -0.0552351102,
            -0.0566942096,
            -0.0581533089,
            -0.0596124046,
            -0.0611193739,
            -0.0628216565,
            -0.0645239428,
            -0.0662262216,
            -0.0679285079,
            -0.0696307868,
            -0.0713330656,
            -0.0730353519,
            -0.0747376382,
            -0.0764399171,
            -0.0781421959,
            -0.0798444822,
            -0.0815467611,
            -0.0832490474,
            -0.0849513263,
            -0.0866536126,
            -0.0882869586,
            -0.089016512,
            -0.089746058,
            -0.0904756114,
            -0.0912051573,
            -0.0919347107,
            -0.0926642567,
            -0.0933938026,
            -0.094123356,
            -0.0948529094,
            -0.0955824554,
            -0.0963120013,
            -0.0970415547,
            -0.0977711082,
            -0.0985006541,
            -0.0992302001,
            -0.0999597535,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0994025394,
            -0.098672986,
            -0.0979434401,
            -0.0972138867,
            -0.0964843407,
            -0.0957547873,
            -0.0950252414,
            -0.094295688,
            -0.093566142,
            -0.0928365886,
            -0.0921070427,
            -0.0913774893,
            -0.0906479433,
            -0.0899183899,
            -0.089188844,
            -0.088459298,
            -0.0877297446,
            -0.0870001912,
            -0.0862706453,
            -0.0855410993,
            -0.0848115459,
            -0.0840819925,
            -0.0833524466,
            -0.0826229006,
            -0.0818933472,
            -0.0811638013,
            -0.0804342479,
            -0.0797047019,
            -0.0789751485,
            -0.0782456025,
            -0.0775160491,
            -0.0767865032,
            -0.0759190843,
            -0.0749463513,
            -0.0739736184,
            -0.0730008855,
            -0.0720281526,
            -0.0710554197,
            -0.0700826868,
            -0.0691099539,
            -0.068137221,
            -0.0671644881,
            -0.0661917552,
            -0.0652190223,
            -0.0642462894,
            -0.0632735565,
            -0.0623008236,
            -0.0613280907,
            -0.0604625903,
            -0.0597330406,
            -0.059003491,
            -0.0582739413,
            -0.0575443916,
            -0.0568148419,
            -0.0560852922,
            -0.0553557426,
            -0.0546261929,
            -0.0538966432,
            -0.0531670935,
            -0.0524375439,
            -0.0517079942,
            -0.0509784445,
            -0.0502488948,
            -0.0495193452,
            -0.0487897955,
            -0.0480602458,
            -0.0473306961,
            -0.0466011465,
            -0.0458715968,
            -0.0451420471,
            -0.0444124974,
            -0.0436829478,
            -0.0429533981,
            -0.0422238484,
            -0.0414942987,
            -0.0407647491,
            -0.0400351994,
            -0.0393056497,
            -0.0385761037,
            -0.0378465503,
            -0.0371170007,
            -0.036387451,
            -0.035657905,
            -0.0349283516,
            -0.0341988057,
            -0.033469256,
            -0.0327397063,
            -0.0320101567,
            -0.031280607,
            -0.0305510554,
            -0.0298215058,
            -0.029091958,
            -0.0283624083,
            -0.0276328586,
            -0.0269033089,
            -0.0261737593,
            -0.0254442096,
            -0.0247146599,
            -0.0239851102,
            -0.0232555605,
            -0.0225260109,
            -0.0217964612,
            -0.0210669115,
            -0.0203373618,
            -0.0196078122,
            -0.0188782625,
            -0.0181487128,
            -0.0174191631,
            -0.0166896135,
            -0.0159600638,
            -0.015230515,
            -0.0145009654,
            -0.0137714157,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0149088232,
            -0.0163679235,
            -0.0178270228,
            -0.0192861222,
            -0.0207452197,
            -0.022204319,
            -0.0236634184,
            -0.0251225177,
            -0.0265816171,
            -0.0280407164,
            -0.0294998158,
            -0.0309589151,
            -0.0324180126,
            -0.033877112,
            -0.0353362113,
            -0.0367953107,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0368470103,
            -0.0361174606,
            -0.0353879109,
            -0.0346583612,
            -0.0339288116,
            -0.0331992656,
            -0.0324697122,
            -0.0317401662,
            -0.0310106147,
            -0.030281065,
            -0.0295515154,
            -0.0288219657,
            -0.028092416,
            -0.0273628682,
            -0.0266333185,
            -0.0259037688,
            -0.0247529559,
            -0.0230506733,
            -0.0213483907,
            -0.0196461082,
            -0.0179438256,
            -0.016241543,
            -0.0145392613,
            -0.0128369797,
            -0.0111346971,
            -0.00943241455,
            -0.00773013197,
            -0.00602784939,
            -0.00432556681,
            -0.00262328424,
            -0.00092100352,
            0.000781279057,
            0.002184849,
            0.00291439844,
            0.00364394812,
            0.0043734978,
            0.00510304701,
            0.00583259668,
            0.00656214636,
            0.00729169603,
            0.00802124571,
            0.00875079539,
            0.00948034413,
            0.0102098947,
            0.0109394444,
            0.0116689932,
            0.0123985428,
            0.0131280925,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137657309,
            0.0144952806,
            0.0152248293,
            0.015954379,
            0.0166839287,
            0.0174134783,
            0.018143028,
            0.0188725777,
            0.0196021274,
            0.020331677,
            0.0210612267,
            0.0217907764,
            0.0225203261,
            0.0232498758,
            0.0239794254,
            0.0247089751,
            0.0254385248,
            0.0268459227,
            0.028305022,
            0.0297641214,
            0.0312232208,
            0.0326823182,
            0.0341414176,
            0.0356005169,
            0.0370596163,
            0.0385187156,
            0.039977815,
            0.0414369144,
            0.0428960137,
            0.0443551131,
            0.0458142124,
            0.0472733118,
            0.0487324111,
            0.0503868237,
            0.0520891026,
            0.0537913889,
            0.0554936677,
            0.0571959503,
            0.0588982329,
            0.0606005155,
            0.062302798,
            0.0640050843,
            0.0657073632,
            0.0674096495,
            0.0691119283,
            0.0708142072,
            0.0725164935,
            0.0742187798,
            0.0759210587,
            0.0769646391,
            0.0776941925,
            0.0784237385,
            0.0791532844,
            0.0798828378,
            0.0806123838,
            0.0813419372,
            0.0820714831,
            0.0828010365,
            0.0835305825,
            0.0842601359,
            0.0849896818,
            0.0857192352,
            0.0864487812,
            0.0871783346,
            0.0879078805,
            0.0886374339,
            0.0893669799,
            0.0900965333,
            0.0908260792,
            0.0915556327,
            0.0922851786,
            0.093014732,
            0.093744278,
            0.0944738314,
            0.0952033773,
            0.0959329307,
            0.0966624767,
            0.0973920301,
            0.098121576,
            0.0988511294,
            0.0995806754,
            0.100310229,
            0.101039775,
            0.101769328,
            0.102498874,
            0.103228427,
            0.103957973,
            0.104687527,
            0.105417073,
            0.106146626,
            0.106876172,
            0.107605726,
            0.108335271,
            0.109064817,
            0.109794371,
            0.110523924,
            0.11125347,
            0.111983016,
            0.11271257,
            0.113442115,
            0.114171669,
            0.114901215,
            0.115630768,
            0.116360314,
            0.117089868,
            0.117819414,
            0.118548967,
            0.119278513,
            0.120008066,
            0.120737612,
            0.121467166,
            0.122196712,
            0.122926265,
            0.123697937,
            0.124670669,
            0.125643402,
            0.126616135,
            0.127588868,
            0.128561601,
            0.129534334,
            0.130507067,
            0.1314798,
            0.132452533,
            0.133425266,
            0.134397998,
            0.135370731,
            0.136343464,
            0.137316197,
            0.13828893,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.138319567,
            0.137346834,
            0.136374101,
            0.135401368,
            0.134428635,
            0.133455902,
            0.132483169,
            0.131510437,
            0.130537704,
            0.129564971,
            0.128592238,
            0.127619505,
            0.126646772,
            0.125674039,
            0.124701306,
            0.123728573,
            0.122369051,
            0.120909952,
            0.119450852,
            0.117991753,
            0.116532654,
            0.115073554,
            0.113614455,
            0.112155356,
            0.110696256,
            0.109237157,
            0.107778057,
            0.106318958,
            0.104859859,
            0.103400759,
            0.10194166,
            0.100482561,
            0.0995117426,
            0.0987821966,
            0.0980526432,
            0.0973230973,
            0.0965935439,
            0.0958639979,
            0.0951344445,
            0.0944048986,
            0.0936753452,
            0.0929457992,
            0.0922162458,
            0.0914866999,
            0.0907571465,
            0.0900276005,
            0.0892980471,
            0.0885685012,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0881146863,
            0.0873851329,
            0.086655587,
            0.0859260336,
            0.0851964876,
            0.0844669342,
            0.0837373883,
            0.0830078349,
            0.0822782889,
            0.0815487355,
            0.0808191895,
            0.0800896361,
            0.0793600902,
            0.0786305368,
            0.0779009908,
            0.0771714374,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0755821317,
            0.0746093988,
            0.0736366659,
            0.072663933,
            0.0716912001,
            0.0707184672,
            0.0697457343,
            0.0687730014,
            0.0678002685,
            0.0668275356,
            0.0658548027,
            0.0648820698,
            0.0639093369,
            0.062936604,
            0.0619638748,
            0.0609911419,
            0.0602098927,
            0.059480343,
            0.0587507933,
            0.0580212437,
            0.057291694,
            0.0565621443,
            0.0558325946,
            0.055103045,
            0.0543734953,
            0.0536439456,
            0.0529143959,
            0.0521848463,
            0.0514552966,
            0.0507257469,
            0.0499961972,
            0.0492666475,
            0.0485370979,
            0.0478075482,
            0.0470779985,
            0.0463484488,
            0.0456188992,
            0.0448893495,
            0.0441597998,
            0.0434302501,
            0.0427007005,
            0.0419711508,
            0.0412416011,
            0.0405120514,
            0.0397825018,
            0.0390529521,
            0.0383234024,
            0.0375938565,
            0.0368643031,
            0.0361347534,
            0.0354052037,
            0.0346756577,
            0.0339461043,
            0.0332165584,
            0.032487005,
            0.031757459,
            0.0310279075,
            0.0302983578,
            0.0295688082,
            0.0288392603,
            0.0281097107,
            0.027380161,
            0.0266506113,
            0.0259210616,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0259038266,
            0.0273629259,
            0.0288220253,
            0.0302811246,
            0.0317402259,
            0.0331993252,
            0.0346584246,
            0.0361175202,
            0.0375766195,
            0.0390357189,
            0.0404948182,
            0.0419539176,
            0.0434130169,
            0.0448721163,
            0.0463312156,
            0.047790315,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0483590178,
            0.0476294681,
            0.0468999185,
            0.0461703688,
            0.0454408191,
            0.0447112694,
            0.0439817235,
            0.0432521701,
            0.0425226241,
            0.0417930707,
            0.0410635248,
            0.0403339714,
            0.0396044254,
            0.038874872,
            0.0381453261,
            0.0374157764,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.037731722,
            0.0384612717,
            0.0391908213,
            0.039920371,
            0.0406499207,
            0.0413794704,
            0.0421090201,
            0.0428385697,
            0.0435681194,
            0.0442976691,
            0.0450272188,
            0.0457567684,
            0.0464863181,
            0.0472158678,
            0.0479454175,
            0.0486749634,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0484566763,
            0.0477271266,
            0.046997577,
            0.0462680273,
            0.0455384776,
            0.0448089279,
            0.0440793782,
            0.0433498286,
            0.0426202789,
            0.0418907292,
            0.0411611795,
            0.0404316299,
            0.0397020802,
            0.0389725305,
            0.0382429808,
            0.0375134312,
            0.0367838815,
            0.0360543318,
            0.0353247821,
            0.0345952325,
            0.0338656828,
            0.0331361331,
            0.0324065834,
            0.0316770338,
            0.0309474841,
            0.0302179344,
            0.0294883847,
            0.028758835,
            0.0280292854,
            0.0272997376,
            0.0265701879,
            0.0258406382,
            0.0251110885,
            0.0243815389,
            0.0236519892,
            0.0229224395,
            0.0221928898,
            0.0214633401,
            0.0207337905,
            0.0200042408,
            0.0192746911,
            0.0185451414,
            0.0178155936,
            0.017086044,
            0.0163564943,
            0.0156269446,
            0.014897394,
            0.0141678443,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137140304,
            0.0129844807,
            0.012254931,
            0.0115253814,
            0.0107958317,
            0.010066282,
            0.00933673233,
            0.00860718265,
            0.00787763298,
            0.00714808377,
            0.00641853455,
            0.00568898488,
            0.0049594352,
            0.00422988553,
            0.00350033585,
            0.00277078617,
            0.0020412365,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00121786061,
            0.000245127827,
            -0.000727605075,
            -0.00170033774,
            -0.00267307041,
            -0.00364580331,
            -0.00461853622,
            -0.00559126865,
            -0.00656400155,
            -0.00753673445,
            -0.00850946736,
            -0.00948220026,
            -0.0104549332,
            -0.0114276651,
            -0.012400398,
            -0.0133731309,
            -0.0131050553,
            -0.0121323224,
            -0.0111595895,
            -0.0101868566,
            -0.00921412371,
            -0.00824139081,
            -0.00726865837,
            -0.00629592594,
            -0.00532319304,
            -0.00435046013,
            -0.00337772723,
            -0.00240499433,
            -0.00143226143,
            -0.000459529459,
            0.000513203442,
            0.00148593634,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00215038192,
            0.00287993159,
            0.00360948127,
            0.00433903094,
            0.00506858062,
            0.00579812983,
            0.00652767951,
            0.00725722918,
            0.00798677839,
            0.00871632807,
            0.00944587775,
            0.0101754274,
            0.0109049771,
            0.0116345268,
            0.0123640765,
            0.0130936261,
            0.0138231758,
            0.0145527255,
            0.0152822742,
            0.0160118248,
            0.0167413745,
            0.0174709223,
            0.018200472,
            0.0189300217,
            0.0196595713,
            0.020389121,
            0.0211186707,
            0.0218482204,
            0.0225777701,
            0.0233073197,
            0.0240368694,
            0.0247664191,
            0.0254787356,
            0.0240196362,
            0.0225605369,
            0.0211014375,
            0.0196423382,
            0.0181832388,
            0.0167241395,
            0.015265041,
            0.0138059417,
            0.0123468433,
            0.0108877439,
            0.00942864455,
            0.0079695452,
            0.00651044585,
            0.0050513465,
            0.00359224714,
            0.00213314779,
            0.00110297091,
            0.000130238128,
            -0.000842494657,
            -0.00181522733,
            -0.00278796023,
            -0.00376069313,
            -0.00473342557,
            -0.00570615847,
            -0.00667889137,
            -0.00765162427,
            -0.00862435717,
            -0.00959709007,
            -0.010569822,
            -0.0115425549,
            -0.0125152878,
            -0.0134880207,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0131127145,
            -0.0121399816,
            -0.0111672487,
            -0.0101945158,
            -0.00922178291,
            -0.00824905001,
            -0.00727631804,
            -0.00630358513,
            -0.00533085223,
            -0.00435811933,
            -0.00338538643,
            -0.00241265353,
            -0.00143992156,
            -0.000467188656,
            0.000505544245,
            0.00147827715,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00214463752,
            0.00287418719,
            0.00360373664,
            0.00433328655,
            0.00506283576,
            0.00579238543,
            0.00652193511,
            0.00725148479,
            0.007981034,
            0.00871058367,
            0.00944013335,
            0.010169683,
            0.0108992327,
            0.0116287824,
            0.0123583321,
            0.0130878817,
            0.0138174314,
            0.0145469802,
            0.0152765298,
            0.0160060804,
            0.0167356282,
            0.0174651779,
            0.0181947276,
            0.0189242773,
            0.019653827,
            0.0203833766,
            0.0211129263,
            0.021842476,
            0.0225720257,
            0.0233015753,
            0.024031125,
            0.0247606747
          ],
          [
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0129978247,
            -0.0120250918,
            -0.0110523589,
            -0.010079626,
            -0.00910689309,
            -0.00813416112,
            -0.00716142822,
            -0.00618869532,
            -0.00521596242,
            -0.00424322952,
            -0.00327049661,
            -0.00229776464,
            -0.00132503174,
            -0.000352298841,
            0.000620434061,
            0.00159316696,
            0.0024146284,
            0.00314417784,
            0.00387372752,
            0.00460327696,
            0.00533282664,
            0.00606237631,
            0.00679192599,
            0.00752147567,
            0.00825102441,
            0.00898057409,
            0.00971012376,
            0.0104396734,
            0.0111692231,
            0.0118987728,
            0.0126283225,
            0.0133578721,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0138116861,
            0.0145412358,
            0.0152707854,
            0.0160003342,
            0.0167298838,
            0.0174594335,
            0.0181889832,
            0.0189185329,
            0.0196480826,
            0.0203776322,
            0.0211071819,
            0.0218367316,
            0.0225662813,
            0.0232958309,
            0.0240253806,
            0.0247549303,
            0.02548448,
            0.0262140296,
            0.0269435793,
            0.027673129,
            0.0284026787,
            0.0291322283,
            0.029861778,
            0.0305913277,
            0.0313208774,
            0.032050427,
            0.0327799767,
            0.0335095264,
            0.0342390761,
            0.0349686258,
            0.0356981754,
            0.0364277214,
            0.0371572748,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0368068591,
            0.0360773094,
            0.0353477597,
            0.03461821,
            0.0338886604,
            0.0331591107,
            0.032429561,
            0.0317000113,
            0.0309704635,
            0.0302409139,
            0.0295113642,
            0.0287818145,
            0.0280522648,
            0.0273227151,
            0.0265931655,
            0.0258636158,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0257544704,
            0.0264840201,
            0.0272135697,
            0.0279431194,
            0.0286726691,
            0.0294022188,
            0.0301317684,
            0.0308613181,
            0.0315908678,
            0.0323204175,
            0.0330499671,
            0.0337795168,
            0.0345090665,
            0.0352386162,
            0.0359681658,
            0.0366977155,
            0.0374272652,
            0.0381568149,
            0.0388863645,
            0.0396159142,
            0.0403454639,
            0.0410750136,
            0.0418045595,
            0.0425341129,
            0.0432636589,
            0.0439932123,
            0.0447227582,
            0.0454523116,
            0.0461818576,
            0.046911411,
            0.0476409569,
            0.0483705066,
            0.0491000563,
            0.049829606,
            0.0505591556,
            0.0512887053,
            0.052018255,
            0.0527478047,
            0.0534773543,
            0.054206904,
            0.0549364537,
            0.0556660034,
            0.0563955531,
            0.0571251027,
            0.0578546524,
            0.0585842021,
            0.0593137518,
            0.0600433014,
            0.0607728511,
            0.0624598153,
            0.0641620979,
            0.0658643767,
            0.067566663,
            0.0692689419,
            0.0709712282,
            0.072673507,
            0.0743757933,
            0.0760780722,
            0.0777803585,
            0.0794826373,
            0.0811849236,
            0.0828872025,
            0.0845894814,
            0.0862917677,
            0.087994054,
            0.0888614655,
            0.0895910189,
            0.0903205648,
            0.0910501182,
            0.0917796642,
            0.0925092176,
            0.0932387635,
            0.0939683169,
            0.0946978629,
            0.0954274163,
            0.0961569622,
            0.0968865156,
            0.0976160616,
            0.098345615,
            0.0990751609,
            0.0998047143,
            0.101068497,
            0.102527596,
            0.103986695,
            0.105445795,
            0.106904894,
            0.108363993,
            0.109823093,
            0.111282192,
            0.112741292,
            0.114200391,
            0.11565949,
            0.11711859,
            0.118577689,
            0.120036788,
            0.121495888,
            0.122954987,
            0.124561526,
            0.126263812,
            0.127966091,
            0.12966837,
            0.131370664,
            0.133072942,
            0.134775221,
            0.1364775,
            0.138179779,
            0.139882073,
            0.141584352,
            0.143286631,
            0.144988909,
            0.146691203,
            0.148393482,
            0.150095761,
            0.151330829,
            0.152060375,
            0.152789935,
            0.153519481,
            0.154249042,
            0.154978588,
            0.155708149,
            0.156437695,
            0.157167256,
            0.157896802,
            0.158626363,
            0.159355909,
            0.160085469,
            0.160815015,
            0.161544576,
            0.162274122,
            0.163003683,
            0.163733229,
            0.164462775,
            0.165192321,
            0.165921867,
            0.166651413,
            0.167380959,
            0.168110505,
            0.168840051,
            0.169569597,
            0.170299143,
            0.171028689,
            0.171758235,
            0.17248778,
            0.173217326,
            0.173946872,
            0.174676418,
            0.175405964,
            0.17613551,
            0.176865056,
            0.177594617,
            0.178324163,
            0.179053709,
            0.179783255,
            0.180512816,
            0.181242362,
            0.181971908,
            0.182701454,
            0.183431014,
            0.18416056,
            0.184890106,
            0.185619652,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185746029,
            0.185016483,
            0.184286937,
            0.183557391,
            0.18282783,
            0.182098284,
            0.181368738,
            0.180639192,
            0.179909647,
            0.179180086,
            0.17845054,
            0.177720994,
            0.176991433,
            0.176261887,
            0.175532341,
            0.174802795,
            0.174073249,
            0.173343703,
            0.172614157,
            0.171884611,
            0.171155065,
            0.170425519,
            0.169695973,
            0.168966427,
            0.168236881,
            0.167507336,
            0.16677779,
            0.166048244,
            0.165318698,
            0.164589152,
            0.163859606,
            0.16313006,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162492424,
            0.161762863,
            0.161033317,
            0.160303757,
            0.159574211,
            0.15884465,
            0.158115104,
            0.157385543,
            0.156655997,
            0.155926436,
            0.15519689,
            0.154467329,
            0.153737783,
            0.153008223,
            0.152278677,
            0.151549116,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.15091148,
            0.150181934,
            0.149452373,
            0.148722827,
            0.147993281,
            0.147263736,
            0.146534175,
            0.145804629,
            0.145075083,
            0.144345537,
            0.143615991,
            0.14288643,
            0.142156884,
            0.141427338,
            0.140697777,
            0.139968231,
            0.139238685,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139738455,
            0.140468001,
            0.141197562,
            0.141927108,
            0.142656654,
            0.1433862,
            0.144115746,
            0.144845307,
            0.145574853,
            0.146304399,
            0.14703396,
            0.147763506,
            0.148493052,
            0.149222597,
            0.149952143,
            0.150681704,
            0.15141125,
            0.152140811,
            0.152870357,
            0.153599918,
            0.154329464,
            0.155059025,
            0.155788571,
            0.156518131,
            0.157247677,
            0.157977223,
            0.158706784,
            0.159436345,
            0.160165891,
            0.160895437,
            0.161624998,
            0.162354559,
            0.163084105,
            0.163813651,
            0.164543197,
            0.165272743,
            0.166002288,
            0.166731834,
            0.16746138,
            0.168190926,
            0.168920472,
            0.169650018,
            0.170379564,
            0.17110911,
            0.171838656,
            0.172568202,
            0.173297748,
            0.174027294,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.173809007,
            0.173079461,
            0.172349915,
            0.171620369,
            0.170890823,
            0.170161277,
            0.169431731,
            0.168702185,
            0.167972639,
            0.167243093,
            0.166513547,
            0.165784001,
            0.165054455,
            0.164324909,
            0.163595363,
            0.162865818,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162228167,
            0.161498621,
            0.16076906,
            0.160039514,
            0.159309953,
            0.158580408,
            0.157850847,
            0.157121301,
            0.15639174,
            0.155662194,
            0.154932633,
            0.154203087,
            0.153473526,
            0.15274398,
            0.152014419,
            0.151284873,
            0.149988532,
            0.148286253,
            0.146583974,
            0.144881681,
            0.143179402,
            0.141477123,
            0.139774844,
            0.13807255,
            0.136370271,
            0.134667993,
            0.132965714,
            0.13126342,
            0.129561141,
            0.127858862,
            0.126156583,
            0.124454297,
            0.123196252,
            0.122466706,
            0.121737152,
            0.121007606,
            0.120278053,
            0.119548507,
            0.118818954,
            0.118089408,
            0.117359854,
            0.116630308,
            0.115900755,
            0.115171209,
            0.114441663,
            0.11371211,
            0.112982556,
            0.11225301,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111707285,
            0.110977732,
            0.110248186,
            0.109518632,
            0.108789086,
            0.108059533,
            0.107329987,
            0.106600434,
            0.105870888,
            0.105141342,
            0.104411788,
            0.103682235,
            0.102952689,
            0.102223143,
            0.10149359,
            0.100764036,
            0.10003449,
            0.0986098573,
            0.0971507579,
            0.0956916586,
            0.0942325592,
            0.0927734599,
            0.0913143605,
            0.0898552611,
            0.0883961618,
            0.0869370624,
            0.0854779631,
            0.0840188712,
            0.0825597644,
            0.0811006725,
            0.0796415657,
            0.0781824738,
            0.076723367,
            0.0750632137,
            0.0733609349,
            0.0716586486,
            0.0699563697,
            0.0682540834,
            0.0665518045,
            0.0648495182,
            0.0631472394,
            0.0614449568,
            0.0597426742,
            0.0580403917,
            0.0563381091,
            0.0546358265,
            0.0529335439,
            0.0512312613,
            0.0495289788,
            0.047997117,
            0.0465380177,
            0.0450789183,
            0.043619819,
            0.0421607196,
            0.0407016203,
            0.0392425209,
            0.0377834216,
            0.0363243222,
            0.0348652229,
            0.0334061235,
            0.0319470242,
            0.0304879267,
            0.0290288273,
            0.027569728,
            0.0261106286,
            0.0246515293,
            0.0231924299,
            0.0217333306,
            0.0202742331,
            0.0188151337,
            0.0173560344,
            0.015896935,
            0.0144378357,
            0.0129787363,
            0.011519637,
            0.0100605376,
            0.00860143825,
            0.0071423389,
            0.00568323955,
            0.0042241402,
            0.00276504271,
            0.00119679747,
            -0.000505484873,
            -0.00220776722,
            -0.0039100498,
            -0.00561233191,
            -0.00731461402,
            -0.0090168966,
            -0.0107191792,
            -0.0124214618,
            -0.0141237434,
            -0.015826026,
            -0.0175283086,
            -0.0192305911,
            -0.0209328737,
            -0.0226351563,
            -0.0243374389,
            -0.0259612128,
            -0.0274203122,
            -0.0288794115,
            -0.0303385109,
            -0.0317976102,
            -0.0332567096,
            -0.0347158089,
            -0.0361749083,
            -0.0376340076,
            -0.039093107,
            -0.0405522063,
            -0.0420113057,
            -0.043470405,
            -0.0449295044,
            -0.0463886037,
            -0.0478476994,
            -0.0491631888,
            -0.0498927385,
            -0.0506222881,
            -0.0513518378,
            -0.0520813838,
            -0.0528109372,
            -0.0535404831,
            -0.0542700328,
            -0.0549995825,
            -0.0557291321,
            -0.0564586818,
            -0.0571882315,
            -0.0579177812,
            -0.0586473309,
            -0.0593768805,
            -0.0601064302,
            -0.0608532131,
            -0.061825946,
            -0.0627986789,
            -0.0637714118,
            -0.0647441447,
            -0.0657168776,
            -0.0666896105,
            -0.0676623434,
            -0.0686350763,
            -0.0696078092,
            -0.0705805421,
            -0.071553275,
            -0.0725260079,
            -0.0734987408,
            -0.0744714737,
            -0.0754442066,
            -0.0764169395,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0756739825,
            -0.0747012496,
            -0.0737285167,
            -0.0727557838,
            -0.0717830509,
            -0.070810318,
            -0.0698375851,
            -0.0688648522,
            -0.0678921193,
            -0.0669193864,
            -0.0659466535,
            -0.0649739206,
            -0.0640011877,
            -0.0630284622,
            -0.0620557256,
            -0.0610829927,
            -0.0602787659,
            -0.0595492162,
            -0.0588196665,
            -0.0580901168,
            -0.0573605672,
            -0.0566310175,
            -0.0559014678,
            -0.0551719181,
            -0.0544423684,
            -0.0537128188,
            -0.0529832691,
            -0.0522537194,
            -0.0515241697,
            -0.0507946201,
            -0.0500650704,
            -0.0493355207,
            -0.048605971,
            -0.0478764214,
            -0.0471468717,
            -0.046417322,
            -0.0456877723,
            -0.0449582227,
            -0.044228673,
            -0.043499127,
            -0.0427695736,
            -0.0420400277,
            -0.0413104743,
            -0.0405809283,
            -0.0398513749,
            -0.039121829,
            -0.0383922793,
            -0.0376627296,
            -0.0369331799,
            -0.0362036303,
            -0.0354740806,
            -0.0347445309,
            -0.0340149812,
            -0.0332854316,
            -0.0325558819,
            -0.0318263322,
            -0.0310967825,
            -0.0303672329,
            -0.0296376832,
            -0.0289081335,
            -0.0281785838,
            -0.0274490342,
            -0.0267194845,
            -0.0259899348,
            -0.0252603851,
            -0.0245308354,
            -0.0238012858,
            -0.0230717361,
            -0.0223421864,
            -0.0216126367,
            -0.0208830871,
            -0.0201535374,
            -0.0194239877,
            -0.018694438,
            -0.0179648884,
            -0.0172353387,
            -0.016505789,
            -0.0157762393,
            -0.0150466915,
            -0.0143171418,
            -0.0135416361,
            -0.0125689032,
            -0.0115961703,
            -0.0106234383,
            -0.00965070538,
            -0.00867797248,
            -0.00770523958,
            -0.00673250668,
            -0.00575977378,
            -0.00478704087,
            -0.00381430797,
            -0.00284157507,
            -0.00186884217,
            -0.000896110199,
            7.66227022e-5,
            0.0010493556,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00117190473,
            0.000199171947,
            -0.000773560721,
            -0.00174629362,
            -0.00271902652,
            -0.00369175896,
            -0.00466449186,
            -0.00563722476,
            -0.00660995767,
            -0.00758269057,
            -0.00855542347,
            -0.00952815637,
            -0.0105008883,
            -0.0114736212,
            -0.0124463541,
            -0.013419087,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0131816482,
            -0.0122089153,
            -0.0112361833,
            -0.0102634504,
            -0.00929071754,
            -0.00831798464,
            -0.00734525174,
            -0.00637251884,
            -0.00539978594,
            -0.00442705303,
            -0.00345432013,
            -0.00248158723,
            -0.00150885526,
            -0.000536122359,
            0.000436610542,
            0.00140934344,
            0.00227676076,
            0.0030063102,
            0.00373585988,
            0.00446540955,
            0.00519495923,
            0.00592450844,
            0.00665405812,
            0.00738360779,
            0.008113157,
            0.00884270668,
            0.00957225636,
            0.010301806,
            0.0110313557,
            0.0117609054,
            0.0124904551,
            0.0132200047,
            0.0139495544,
            0.0146791041,
            0.0154086538,
            0.0161382034,
            0.0168677531,
            0.0175973028,
            0.0183268525,
            0.0190564021,
            0.0197859518,
            0.0205155015,
            0.0212450493,
            0.0219746009,
            0.0227041505,
            0.0234336983,
            0.024163248,
            0.0248927977,
            0.0256223474,
            0.026351897,
            0.0270814467,
            0.0278109964,
            0.0285405461,
            0.0292700958,
            0.0299996454,
            0.0307291951,
            0.0314587429,
            0.0321882926,
            0.0329178423,
            0.0336473919,
            0.0343769416,
            0.0351064913,
            0.035836041,
            0.0365655906,
            0.0372951403,
            0.03802469,
            0.0387542397,
            0.0394837894,
            0.040213339,
            0.0409428887,
            0.0416724384,
            0.0424019881,
            0.0431315377,
            0.0438610874,
            0.0445906371,
            0.0453201868,
            0.0460497364,
            0.0467792861,
            0.0475088358,
            0.0482383855,
            0.0489679351,
            0.0506012812,
            0.0523035638,
            0.0540058464,
            0.055708129,
            0.0574104115,
            0.0591126941,
            0.0608149767,
            0.0625172555,
            0.0642195418,
            0.0659218282,
            0.067624107,
            0.0693263859,
            0.0710286722,
            0.072730951,
            0.0744332373,
            0.0761355162,
            0.0776424855,
            0.0791015849,
            0.0805606842,
            0.0820197836,
            0.0834788829,
            0.0849379823,
            0.0863970816,
            0.087856181,
            0.0893152803,
            0.0907743797,
            0.092233479,
            0.0936925784,
            0.0951516777,
            0.0966107771,
            0.0980698764,
            0.0995289758,
            0.100494049,
            0.101223603,
            0.101953149,
            0.102682695,
            0.103412248,
            0.104141794,
            0.104871348,
            0.105600893,
            0.106330447,
            0.107059993,
            0.107789546,
            0.108519092,
            0.109248646,
            0.109978192,
            0.110707745,
            0.111437291,
            0.112166844,
            0.11289639,
            0.113625944,
            0.11435549,
            0.115085043,
            0.115814589,
            0.116544142,
            0.117273688,
            0.118003242,
            0.118732788,
            0.119462341,
            0.120191887,
            0.12092144,
            0.121650986,
            0.12238054,
            0.123110086,
            0.123943038,
            0.124915771,
            0.125888497,
            0.12686123,
            0.127833962,
            0.128806695,
            0.129779428,
            0.130752161,
            0.131724894,
            0.132697627,
            0.13367036,
            0.134643093,
            0.135615826,
            0.136588559,
            0.137561291,
            0.138534024,
            0.139433995,
            0.140163541,
            0.140893102,
            0.141622648,
            0.142352194,
            0.14308174,
            0.1438113,
            0.144540846,
            0.145270392,
            0.145999938,
            0.146729499,
            0.147459045,
            0.148188591,
            0.148918137,
            0.149647698,
            0.150377244,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150308311,
            0.149578765,
            0.148849204,
            0.148119658,
            0.147390112,
            0.146660566,
            0.145931005,
            0.14520146,
            0.144471914,
            0.143742368,
            0.143012807,
            0.142283261,
            0.141553715,
            0.140824169,
            0.140094608,
            0.139365062,
            0.137861922,
            0.136159644,
            0.134457365,
            0.132755071,
            0.131052792,
            0.129350513,
            0.127648234,
            0.125945941,
            0.124243662,
            0.122541383,
            0.120839104,
            0.119136818,
            0.117434531,
            0.115732253,
            0.114029974,
            0.112327687,
            0.111276448,
            0.110546902,
            0.109817348,
            0.109087802,
            0.108358249,
            0.107628703,
            0.10689915,
            0.106169604,
            0.10544005,
            0.104710504,
            0.103980951,
            0.103251405,
            0.102521852,
            0.101792306,
            0.101062752,
            0.100333206,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0998793915,
            0.0991498381,
            0.0984202921,
            0.0976907387,
            0.0969611928,
            0.0962316394,
            0.0955020934,
            0.09477254,
            0.0940429941,
            0.0933134407,
            0.0925838947,
            0.0918543413,
            0.0911247954,
            0.090395242,
            0.089665696,
            0.0889361426,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0875689611,
            0.0868394077,
            0.0861098617,
            0.0853803083,
            0.0846507624,
            0.083921209,
            0.083191663,
            0.0824621096,
            0.0817325637,
            0.0810030103,
            0.0802734643,
            0.0795439109,
            0.078814365,
            0.0780848116,
            0.0773552656,
            0.0766257122,
            0.0757046789,
            0.074731946,
            0.0737592131,
            0.0727864802,
            0.0718137473,
            0.0708410144,
            0.0698682815,
            0.068895556,
            0.0679228157,
            0.0669500902,
            0.0659773573,
            0.0650046244,
            0.0640318915,
            0.0630591586,
            0.062086422,
            0.0611136891,
            0.0603018031,
            0.0595722534,
            0.0588427037,
            0.058113154,
            0.0573836043,
            0.0566540547,
            0.055924505,
            0.0551949553,
            0.0544654056,
            0.053735856,
            0.0530063063,
            0.0522767566,
            0.0515472069,
            0.0508176573,
            0.0500881076,
            0.0493585616,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0492264368,
            0.0499559864,
            0.0506855361,
            0.0514150858,
            0.0521446355,
            0.0528741851,
            0.0536037348,
            0.0543332845,
            0.0550628342,
            0.0557923838,
            0.0565219335,
            0.0572514832,
            0.0579810292,
            0.0587105826,
            0.0594401285,
            0.0601696819,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.060123723,
            0.0593941733,
            0.0586646236,
            0.057935074,
            0.0572055243,
            0.0564759746,
            0.0557464287,
            0.0550168753,
            0.0542873293,
            0.0535577759,
            0.05282823,
            0.0520986766,
            0.0513691306,
            0.0506395772,
            0.0499100313,
            0.0491804816,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0478937142,
            0.0464346148,
            0.0449755192,
            0.0435164198,
            0.0420573205,
            0.0405982211,
            0.0391391218,
            0.0376800224,
            0.0362209231,
            0.0347618237,
            0.0333027244,
            0.031843625,
            0.0303845257,
            0.0289254263,
            0.027466327,
            0.0260072276,
            0.0250191763,
            0.0242896266,
            0.023560077,
            0.0228305273,
            0.0221009776,
            0.0213714279,
            0.0206418782,
            0.0199123286,
            0.0191827789,
            0.0184532292,
            0.0177236795,
            0.0169941299,
            0.0162645802,
            0.0155350324,
            0.0148054827,
            0.014075933,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.013076392,
            0.0123468433,
            0.0116172936,
            0.0108877439,
            0.0101581942,
            0.00942864455,
            0.00869909488,
            0.0079695452,
            0.00723999552,
            0.00651044585,
            0.00578089617,
            0.0050513465,
            0.00432179775,
            0.00359224807,
            0.0028626984,
            0.00213314872,
            0.00121786061,
            0.000245127827,
            -0.000727605075,
            -0.00170033774,
            -0.00267307041,
            -0.00364580331,
            -0.00461853622,
            -0.00559126865,
            -0.00656400155,
            -0.00753673445,
            -0.00850946736,
            -0.00948220026,
            -0.0104549332,
            -0.0114276651,
            -0.012400398,
            -0.0133731309,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0134727024,
            -0.0124999695,
            -0.0115272366,
            -0.0105545036,
            -0.00958177075,
            -0.00860903785,
            -0.00763630541,
            -0.00666357297,
            -0.00569084007,
            -0.00471810717,
            -0.00374537427,
            -0.00277264137,
            -0.00179990847,
            -0.000827176496,
            0.000145556405,
            0.00111828931,
            0.00205847016,
            0.00278801983,
            0.00351756951,
            0.00424711872,
            0.0049766684,
            0.00570621807,
            0.00643576775,
            0.00716531742,
            0.0078948671,
            0.00862441678,
            0.00935396552,
            0.0100835161,
            0.0108130649,
            0.0115426145,
            0.0122721642,
            0.0130017139,
            0.0137197748,
            0.0129902251,
            0.0122606754,
            0.0115311258,
            0.0108015761,
            0.0100720264,
            0.00934247673,
            0.00861292705,
            0.00788337737,
            0.00715382863,
            0.00642427895,
            0.00569472928,
            0.0049651796,
            0.00423562992,
            0.00350608025,
            0.00277653057,
            0.0020469809,
            0.00110297091,
            0.000130238128,
            -0.000842494657,
            -0.00181522733,
            -0.00278796023,
            -0.00376069313,
            -0.00473342557,
            -0.00570615847,
            -0.00667889137,
            -0.00765162427,
            -0.00862435717,
            -0.00959709007,
            -0.010569822,
            -0.0115425549,
            -0.0125152878,
            -0.0134880207,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0134803616,
            -0.0125076286,
            -0.0115348957,
            -0.0105621628,
            -0.00958942994,
            -0.00861669704,
            -0.00764396507,
            -0.00667123217,
            -0.00569849927,
            -0.00472576637,
            -0.00375303347,
            -0.00278030057,
            -0.00180756859,
            -0.000834835693,
            0.000137897208,
            0.00111063011,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814
          ],
          [
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0242168047,
            -0.0225145221,
            -0.0208122395,
            -0.0191099569,
            -0.0174076743,
            -0.0157053918,
            -0.0140031101,
            -0.0123008275,
            -0.010598545,
            -0.00889626332,
            -0.00719398074,
            -0.00549169816,
            -0.00378941558,
            -0.00208713301,
            -0.000384850428,
            0.00131743215,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00232271664,
            0.00305226608,
            0.00378181576,
            0.0045113652,
            0.00524091488,
            0.00597046455,
            0.00670001423,
            0.00742956344,
            0.00815911312,
            0.00888866279,
            0.00961821247,
            0.0103477621,
            0.0110773118,
            0.0118068615,
            0.0125364112,
            0.0132659599,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0138116861,
            0.0145412358,
            0.0152707854,
            0.0160003342,
            0.0167298838,
            0.0174594335,
            0.0181889832,
            0.0189185329,
            0.0196480826,
            0.0203776322,
            0.0211071819,
            0.0218367316,
            0.0225662813,
            0.0232958309,
            0.0240253806,
            0.0247549303,
            0.02548448,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0251340661,
            0.0244045164,
            0.0236749668,
            0.0229454171,
            0.0222158674,
            0.0214863177,
            0.0207567699,
            0.0200272202,
            0.0192976706,
            0.0185681209,
            0.0178385712,
            0.0171090215,
            0.0163794719,
            0.0156499222,
            0.0149203725,
            0.0141908228,
            0.0142540121,
            0.0157131106,
            0.0171722099,
            0.0186313093,
            0.0200904086,
            0.021549508,
            0.0230086073,
            0.0244677067,
            0.025926806,
            0.0273859054,
            0.0288450047,
            0.0303041022,
            0.0317632034,
            0.0332223028,
            0.0346814021,
            0.0361405015,
            0.0374272652,
            0.0381568149,
            0.0388863645,
            0.0396159142,
            0.0403454639,
            0.0410750136,
            0.0418045595,
            0.0425341129,
            0.0432636589,
            0.0439932123,
            0.0447227582,
            0.0454523116,
            0.0461818576,
            0.046911411,
            0.0476409569,
            0.0483705066,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.051413171,
            0.0538450032,
            0.0562768355,
            0.0587086678,
            0.0611405,
            0.0635723323,
            0.0660041645,
            0.0684359968,
            0.0708678216,
            0.0732996613,
            0.0757314861,
            0.0781633258,
            0.0805951506,
            0.0830269903,
            0.0854588151,
            0.0878906548,
            0.0894876197,
            0.0909467191,
            0.092405811,
            0.0938649178,
            0.0953240097,
            0.0967831165,
            0.0982422084,
            0.0997013077,
            0.101160407,
            0.102619506,
            0.104078606,
            0.105537705,
            0.106996804,
            0.108455904,
            0.109915003,
            0.111374103,
            0.113011286,
            0.114713565,
            0.116415843,
            0.11811813,
            0.119820409,
            0.121522695,
            0.123224974,
            0.12492726,
            0.126629546,
            0.128331825,
            0.130034104,
            0.131736383,
            0.133438677,
            0.135140955,
            0.136843234,
            0.138545513,
            0.139658034,
            0.14038758,
            0.141117126,
            0.141846687,
            0.142576233,
            0.143305779,
            0.144035324,
            0.144764885,
            0.145494431,
            0.146223977,
            0.146953523,
            0.147683084,
            0.14841263,
            0.149142176,
            0.149871722,
            0.150601283,
            0.151330829,
            0.152060375,
            0.152789935,
            0.153519481,
            0.154249042,
            0.154978588,
            0.155708149,
            0.156437695,
            0.157167256,
            0.157896802,
            0.158626363,
            0.159355909,
            0.160085469,
            0.160815015,
            0.161544576,
            0.162274122,
            0.163003683,
            0.163733229,
            0.164462775,
            0.165192321,
            0.165921867,
            0.166651413,
            0.167380959,
            0.168110505,
            0.168840051,
            0.169569597,
            0.170299143,
            0.171028689,
            0.171758235,
            0.17248778,
            0.173217326,
            0.173946872,
            0.174676418,
            0.175405964,
            0.17613551,
            0.176865056,
            0.177594617,
            0.178324163,
            0.179053709,
            0.179783255,
            0.180512816,
            0.181242362,
            0.181971908,
            0.182701454,
            0.183431014,
            0.18416056,
            0.184890106,
            0.185619652,
            0.186199844,
            0.185470298,
            0.184740752,
            0.184011206,
            0.183281645,
            0.182552099,
            0.181822553,
            0.181093007,
            0.180363446,
            0.179633901,
            0.178904355,
            0.178174809,
            0.177445263,
            0.176715702,
            0.175986156,
            0.17525661,
            0.174527049,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.173981339,
            0.173251793,
            0.172522247,
            0.171792701,
            0.171063155,
            0.170333609,
            0.169604063,
            0.168874517,
            0.168144971,
            0.167415425,
            0.166685879,
            0.165956333,
            0.165226787,
            0.164497241,
            0.163767695,
            0.163038149,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162492424,
            0.161762863,
            0.161033317,
            0.160303757,
            0.159574211,
            0.15884465,
            0.158115104,
            0.157385543,
            0.156655997,
            0.155926436,
            0.15519689,
            0.154467329,
            0.153737783,
            0.153008223,
            0.152278677,
            0.151549116,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.15091148,
            0.150181934,
            0.149452373,
            0.148722827,
            0.147993281,
            0.147263736,
            0.146534175,
            0.145804629,
            0.145075083,
            0.144345537,
            0.143615991,
            0.14288643,
            0.142156884,
            0.141427338,
            0.140697777,
            0.139968231,
            0.139238685,
            0.139922276,
            0.140651822,
            0.141381383,
            0.142110929,
            0.142840475,
            0.143570021,
            0.144299582,
            0.145029128,
            0.145758674,
            0.146488219,
            0.14721778,
            0.147947326,
            0.148676872,
            0.149406418,
            0.150135979,
            0.150865525,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151503161,
            0.152232721,
            0.152962267,
            0.153691828,
            0.154421374,
            0.155150935,
            0.155880481,
            0.156610042,
            0.157339588,
            0.158069149,
            0.158798695,
            0.159528255,
            0.160257801,
            0.160987362,
            0.161716908,
            0.162446469,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163084105,
            0.163813651,
            0.164543197,
            0.165272743,
            0.166002288,
            0.166731834,
            0.16746138,
            0.168190926,
            0.168920472,
            0.169650018,
            0.170379564,
            0.17110911,
            0.171838656,
            0.172568202,
            0.173297748,
            0.174027294,
            0.17475684,
            0.175486386,
            0.176215932,
            0.176945478,
            0.177675039,
            0.178404585,
            0.17913413,
            0.179863676,
            0.180593237,
            0.181322783,
            0.182052329,
            0.182781875,
            0.183511436,
            0.184240982,
            0.184970528,
            0.185700074,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186211333,
            0.185481787,
            0.184752241,
            0.184022695,
            0.183293134,
            0.182563588,
            0.181834042,
            0.181104496,
            0.180374935,
            0.179645389,
            0.178915843,
            0.178186297,
            0.177456737,
            0.176727191,
            0.175997645,
            0.175268099,
            0.174538553,
            0.173809007,
            0.173079461,
            0.172349915,
            0.171620369,
            0.170890823,
            0.170161277,
            0.169431731,
            0.168702185,
            0.167972639,
            0.167243093,
            0.166513547,
            0.165784001,
            0.165054455,
            0.164324909,
            0.163595363,
            0.162865818,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162228167,
            0.161498621,
            0.16076906,
            0.160039514,
            0.159309953,
            0.158580408,
            0.157850847,
            0.157121301,
            0.15639174,
            0.155662194,
            0.154932633,
            0.154203087,
            0.153473526,
            0.15274398,
            0.152014419,
            0.151284873,
            0.149988532,
            0.148286253,
            0.146583974,
            0.144881681,
            0.143179402,
            0.141477123,
            0.139774844,
            0.13807255,
            0.136370271,
            0.134667993,
            0.132965714,
            0.13126342,
            0.129561141,
            0.127858862,
            0.126156583,
            0.124454297,
            0.123196252,
            0.122466706,
            0.121737152,
            0.121007606,
            0.120278053,
            0.119548507,
            0.118818954,
            0.118089408,
            0.117359854,
            0.116630308,
            0.115900755,
            0.115171209,
            0.114441663,
            0.11371211,
            0.112982556,
            0.11225301,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111615375,
            0.110885821,
            0.110156275,
            0.109426722,
            0.108697176,
            0.107967623,
            0.107238077,
            0.106508523,
            0.105778977,
            0.105049424,
            0.104319878,
            0.103590325,
            0.102860779,
            0.102131225,
            0.101401679,
            0.100672126,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0986098573,
            0.0971507579,
            0.0956916586,
            0.0942325592,
            0.0927734599,
            0.0913143605,
            0.0898552611,
            0.0883961618,
            0.0869370624,
            0.0854779631,
            0.0840188712,
            0.0825597644,
            0.0811006725,
            0.0796415657,
            0.0781824738,
            0.076723367,
            0.0750632137,
            0.0733609349,
            0.0716586486,
            0.0699563697,
            0.0682540834,
            0.0665518045,
            0.0648495182,
            0.0631472394,
            0.0614449568,
            0.0597426742,
            0.0580403917,
            0.0563381091,
            0.0546358265,
            0.0529335439,
            0.0512312613,
            0.0495289788,
            0.047997117,
            0.0465380177,
            0.0450789183,
            0.043619819,
            0.0421607196,
            0.0407016203,
            0.0392425209,
            0.0377834216,
            0.0363243222,
            0.0348652229,
            0.0334061235,
            0.0319470242,
            0.0304879267,
            0.0290288273,
            0.027569728,
            0.0261106286,
            0.0246515293,
            0.0231924299,
            0.0217333306,
            0.0202742331,
            0.0188151337,
            0.0173560344,
            0.015896935,
            0.0144378357,
            0.0129787363,
            0.011519637,
            0.0100605376,
            0.00860143825,
            0.0071423389,
            0.00568323955,
            0.0042241402,
            0.00276504271,
            0.00119679747,
            -0.000505484873,
            -0.00220776722,
            -0.0039100498,
            -0.00561233191,
            -0.00731461402,
            -0.0090168966,
            -0.0107191792,
            -0.0124214618,
            -0.0141237434,
            -0.015826026,
            -0.0175283086,
            -0.0192305911,
            -0.0209328737,
            -0.0226351563,
            -0.0243374389,
            -0.0259612128,
            -0.0274203122,
            -0.0288794115,
            -0.0303385109,
            -0.0317976102,
            -0.0332567096,
            -0.0347158089,
            -0.0361749083,
            -0.0376340076,
            -0.039093107,
            -0.0405522063,
            -0.0420113057,
            -0.043470405,
            -0.0449295044,
            -0.0463886037,
            -0.0478476994,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0484221503,
            -0.0476926006,
            -0.046963051,
            -0.0462335013,
            -0.0455039516,
            -0.0447744019,
            -0.0440448523,
            -0.0433153026,
            -0.0425857529,
            -0.0418562032,
            -0.0411266536,
            -0.0403971039,
            -0.0396675542,
            -0.0389380045,
            -0.0382084548,
            -0.0374789052,
            -0.0367493555,
            -0.0360198058,
            -0.0352902561,
            -0.0345607065,
            -0.0338311568,
            -0.0331016071,
            -0.0323720574,
            -0.0316425078,
            -0.0309129581,
            -0.0301834084,
            -0.0294538587,
            -0.0287243091,
            -0.0279947594,
            -0.0272652097,
            -0.02653566,
            -0.0258061104,
            -0.0250765625,
            -0.0243470129,
            -0.0236174632,
            -0.0228879135,
            -0.0221583638,
            -0.0214288142,
            -0.0206992645,
            -0.0199697148,
            -0.0192401651,
            -0.0185106155,
            -0.0177810658,
            -0.0170515161,
            -0.0163219664,
            -0.0155924167,
            -0.014862868,
            -0.0141333183,
            -0.013296538,
            -0.0123238051,
            -0.0113510722,
            -0.0103783403,
            -0.00940560736,
            -0.00843287446,
            -0.00746014155,
            -0.00648740865,
            -0.00551467575,
            -0.00454194285,
            -0.00356920995,
            -0.00259647705,
            -0.00162374415,
            -0.000651012175,
            0.000321720727,
            0.00129445363,
            0.0021905934,
            0.00292014284,
            0.00364969252,
            0.00437924219,
            0.00510879187,
            0.00583834108,
            0.00656789076,
            0.00729744043,
            0.00802699011,
            0.00875653978,
            0.00948608946,
            0.0102156391,
            0.0109451888,
            0.0116747385,
            0.0124042872,
            0.0131338369,
            0.0138633866,
            0.0145929363,
            0.0153224859,
            0.0160520356,
            0.0167815853,
            0.017511135,
            0.0182406846,
            0.0189702343,
            0.019699784,
            0.0204293337,
            0.0211588833,
            0.0218884312,
            0.0226179808,
            0.0233475305,
            0.0240770802,
            0.0248066299,
            0.0254442692,
            0.0247147195,
            0.0239851698,
            0.0232556202,
            0.0225260705,
            0.0217965208,
            0.0210669711,
            0.0203374214,
            0.0196078718,
            0.0188783221,
            0.0181487724,
            0.0174192227,
            0.0166896731,
            0.0159601234,
            0.0152305746,
            0.014501025,
            0.0137714753,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0131338369,
            0.0124042872,
            0.0116747376,
            0.0109451879,
            0.0102156391,
            0.00948608946,
            0.00875653978,
            0.00802699011,
            0.00729744043,
            0.00656789076,
            0.00583834108,
            0.0051087914,
            0.00437924173,
            0.00364969298,
            0.00292014331,
            0.00219059363,
            0.00246058404,
            0.00319013372,
            0.0039196834,
            0.00464923307,
            0.00537878275,
            0.00610833196,
            0.00683788164,
            0.00756743131,
            0.00829698145,
            0.00902653113,
            0.00975607987,
            0.0104856296,
            0.0112151792,
            0.0119447289,
            0.0126742786,
            0.0134038283,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0140414657,
            0.0147710154,
            0.0155005651,
            0.0162301138,
            0.0169596635,
            0.0176892132,
            0.0184187628,
            0.0191483125,
            0.0198778622,
            0.0206074119,
            0.0213369615,
            0.0220665112,
            0.0227960609,
            0.0235256106,
            0.0242551602,
            0.0249847099,
            0.0257142596,
            0.0264438093,
            0.0271733589,
            0.0279029086,
            0.0286324583,
            0.029362008,
            0.0300915577,
            0.0308211073,
            0.031550657,
            0.0322802067,
            0.0330097564,
            0.033739306,
            0.0344688557,
            0.0351984054,
            0.0359279513,
            0.0366575047,
            0.0375191756,
            0.0389782749,
            0.0404373743,
            0.0418964736,
            0.043355573,
            0.0448146723,
            0.0462737717,
            0.047732871,
            0.0491919704,
            0.0506510697,
            0.0521101654,
            0.0535692647,
            0.0550283641,
            0.0564874634,
            0.0579465628,
            0.0594056621,
            0.0608379543,
            0.0618106872,
            0.0627834201,
            0.063756153,
            0.0647288859,
            0.0657016188,
            0.0666743517,
            0.0676470846,
            0.0686198175,
            0.0695925504,
            0.0705652833,
            0.0715380162,
            0.0725107491,
            0.073483482,
            0.0744562149,
            0.0754289478,
            0.0764016807,
            0.0778263137,
            0.079285413,
            0.0807445124,
            0.0822036117,
            0.0836627111,
            0.0851218104,
            0.0865809098,
            0.0880400091,
            0.0894991085,
            0.0909582078,
            0.0924172997,
            0.0938764066,
            0.0953354985,
            0.0967946053,
            0.0982536972,
            0.099712804,
            0.101171896,
            0.102630995,
            0.104090095,
            0.105549194,
            0.107008293,
            0.108467393,
            0.109926492,
            0.111385591,
            0.112844691,
            0.11430379,
            0.115762889,
            0.117221989,
            0.118681088,
            0.120140187,
            0.121599287,
            0.123058386,
            0.124188133,
            0.125160873,
            0.126133606,
            0.127106339,
            0.128079072,
            0.129051805,
            0.130024537,
            0.13099727,
            0.131970003,
            0.132942736,
            0.133915469,
            0.134888202,
            0.135860935,
            0.136833668,
            0.137806401,
            0.138779134,
            0.139617816,
            0.140347376,
            0.141076922,
            0.141806468,
            0.142536014,
            0.143265575,
            0.143995121,
            0.144724667,
            0.145454213,
            0.146183774,
            0.14691332,
            0.147642866,
            0.148372412,
            0.149101973,
            0.149831519,
            0.150561064,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.1511987,
            0.151928261,
            0.152657807,
            0.153387368,
            0.154116914,
            0.154846475,
            0.15557602,
            0.156305581,
            0.157035127,
            0.157764688,
            0.158494234,
            0.159223795,
            0.159953341,
            0.160682902,
            0.161412448,
            0.162142009,
            0.162618801,
            0.16188924,
            0.161159694,
            0.160430133,
            0.159700587,
            0.158971027,
            0.158241481,
            0.15751192,
            0.156782374,
            0.156052813,
            0.155323267,
            0.154593706,
            0.15386416,
            0.153134599,
            0.152405053,
            0.151675493,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.149626628,
            0.147924349,
            0.14622207,
            0.144519776,
            0.142817497,
            0.141115218,
            0.13941294,
            0.137710646,
            0.136008367,
            0.134306088,
            0.132603809,
            0.130901515,
            0.129199237,
            0.127496958,
            0.125794679,
            0.124092393,
            0.123041153,
            0.122311607,
            0.121582054,
            0.120852508,
            0.120122954,
            0.119393408,
            0.118663855,
            0.117934309,
            0.117204756,
            0.11647521,
            0.115745656,
            0.11501611,
            0.114286557,
            0.113557011,
            0.112827457,
            0.112097912,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111644097,
            0.110914543,
            0.110184997,
            0.109455444,
            0.108725898,
            0.107996345,
            0.107266799,
            0.106537245,
            0.105807699,
            0.105078146,
            0.1043486,
            0.103619047,
            0.102889501,
            0.102159947,
            0.101430401,
            0.100700848,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0993336663,
            0.0986041129,
            0.0978745669,
            0.0971450135,
            0.0964154676,
            0.0956859142,
            0.0949563682,
            0.0942268148,
            0.0934972689,
            0.0927677155,
            0.0920381695,
            0.0913086161,
            0.0905790702,
            0.0898495167,
            0.0891199708,
            0.0883904174,
            0.0876608714,
            0.086931318,
            0.0862017721,
            0.0854722187,
            0.0847426727,
            0.0840131193,
            0.0832835734,
            0.08255402,
            0.081824474,
            0.0810949206,
            0.0803653747,
            0.0796358287,
            0.0789062753,
            0.0781767219,
            0.077447176,
            0.07671763,
            0.0758272335,
            0.0748545006,
            0.0738817677,
            0.0729090348,
            0.0719363019,
            0.070963569,
            0.0699908361,
            0.0690181032,
            0.0680453703,
            0.0670726374,
            0.0660999045,
            0.0651271716,
            0.0641544387,
            0.0631817058,
            0.0622089729,
            0.06123624,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0602156371,
            0.0594860874,
            0.0587565377,
            0.0580269881,
            0.0572974384,
            0.0565678887,
            0.055838339,
            0.0551087894,
            0.0543792397,
            0.05364969,
            0.0529201403,
            0.0521905906,
            0.051461041,
            0.0507314913,
            0.0500019416,
            0.0492723919,
            0.0485428423,
            0.0478132926,
            0.0470837429,
            0.0463541932,
            0.0456246436,
            0.0448950939,
            0.0441655442,
            0.0434359945,
            0.0427064449,
            0.0419768952,
            0.0412473455,
            0.0405177958,
            0.0397882462,
            0.0390586965,
            0.0383291468,
            0.0375996009,
            0.0376398116,
            0.0383693613,
            0.039098911,
            0.0398284569,
            0.0405580103,
            0.0412875563,
            0.042017106,
            0.0427466556,
            0.0434762053,
            0.044205755,
            0.0449353047,
            0.0456648543,
            0.046394404,
            0.0471239537,
            0.0478535034,
            0.0485830531,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0483647622,
            0.0476352125,
            0.0469056629,
            0.0461761132,
            0.0454465635,
            0.0447170138,
            0.0439874679,
            0.0432579145,
            0.0425283685,
            0.0417988151,
            0.0410692692,
            0.0403397158,
            0.0396101698,
            0.0388806202,
            0.0381510705,
            0.0374215208,
            0.0366919711,
            0.0359624214,
            0.0352328718,
            0.0345033221,
            0.0337737724,
            0.0330442227,
            0.0323146731,
            0.0315851234,
            0.0308555737,
            0.030126024,
            0.0293964744,
            0.0286669247,
            0.027937375,
            0.0272078253,
            0.0264782757,
            0.025748726,
            0.0250191763,
            0.0242896266,
            0.023560077,
            0.0228305273,
            0.0221009776,
            0.0213714279,
            0.0206418782,
            0.0199123286,
            0.0191827789,
            0.0184532292,
            0.0177236795,
            0.0169941299,
            0.0162645802,
            0.0155350324,
            0.0148054827,
            0.014075933,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0140127437,
            0.0147422934,
            0.0154718421,
            0.0162013918,
            0.0169309415,
            0.0176604912,
            0.0183900408,
            0.0191195905,
            0.0198491402,
            0.0205786899,
            0.0213082395,
            0.0220377892,
            0.0227673389,
            0.0234968886,
            0.0242264383,
            0.0249559879,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254787356,
            0.0247491859,
            0.0240196362,
            0.0232900865,
            0.0225605369,
            0.0218309872,
            0.0211014375,
            0.0203718878,
            0.0196423382,
            0.0189127885,
            0.0181832388,
            0.0174536891,
            0.0167241395,
            0.0159945898,
            0.015265041,
            0.0145354914,
            0.0138059417,
            0.013076392,
            0.0123468433,
            0.0116172936,
            0.0108877439,
            0.0101581942,
            0.00942864455,
            0.00869909488,
            0.0079695452,
            0.00723999552,
            0.00651044585,
            0.00578089617,
            0.0050513465,
            0.00432179775,
            0.00359224807,
            0.0028626984,
            0.00213314872,
            0.00121786061,
            0.000245127827,
            -0.000727605075,
            -0.00170033774,
            -0.00267307041,
            -0.00364580331,
            -0.00461853622,
            -0.00559126865,
            -0.00656400155,
            -0.00753673445,
            -0.00850946736,
            -0.00948220026,
            -0.0104549332,
            -0.0114276651,
            -0.012400398,
            -0.0133731309,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0134727024,
            -0.0124999695,
            -0.0115272366,
            -0.0105545036,
            -0.00958177075,
            -0.00860903785,
            -0.00763630541,
            -0.00666357297,
            -0.00569084007,
            -0.00471810717,
            -0.00374537427,
            -0.00277264137,
            -0.00179990847,
            -0.000827176496,
            0.000145556405,
            0.00111828931,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00110297091,
            0.000130238128,
            -0.000842494657,
            -0.00181522733,
            -0.00278796023,
            -0.00376069313,
            -0.00473342557,
            -0.00570615847,
            -0.00667889137,
            -0.00765162427,
            -0.00862435717,
            -0.00959709007,
            -0.010569822,
            -0.0115425549,
            -0.0125152878,
            -0.0134880207,
            -0.0142769301,
            -0.0150064798,
            -0.0157360286,
            -0.0164655782,
            -0.0171951279,
            -0.0179246776,
            -0.0186542273,
            -0.0193837769,
            -0.0201133266,
            -0.0208428763,
            -0.021572426,
            -0.0223019756,
            -0.0230315253,
            -0.023761075,
            -0.0244906247,
            -0.0252201743,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0258578118,
            -0.0265873615,
            -0.0273169111,
            -0.0280464608,
            -0.0287760105,
            -0.0295055602,
            -0.0302351099,
            -0.0309646595,
            -0.0316942073,
            -0.032423757,
            -0.0331533067,
            -0.0338828564,
            -0.034612406,
            -0.0353419557,
            -0.0360715054,
            -0.0368010551,
            -0.0369791351,
            -0.0362495854,
            -0.0355200358,
            -0.0347904861,
            -0.0340609364,
            -0.0333313867,
            -0.0326018371,
            -0.0318722874,
            -0.0311427377,
            -0.030413188,
            -0.0296836384,
            -0.0289540887,
            -0.028224539,
            -0.0274949893,
            -0.0267654397,
            -0.02603589,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0253982525,
            -0.0246687029,
            -0.0239391532,
            -0.0232096035,
            -0.0224800557,
            -0.021750506,
            -0.0210209563,
            -0.0202914067,
            -0.019561857,
            -0.0188323073,
            -0.0181027576,
            -0.017373208,
            -0.0166436583,
            -0.0159141086,
            -0.0151845589,
            -0.0144550093
          ],
          [
            -0.0372548699,
            -0.0365253203,
            -0.0357957706,
            -0.0350662209,
            -0.0343366712,
            -0.0336071216,
            -0.0328775719,
            -0.0321480222,
            -0.0314184725,
            -0.0306889229,
            -0.0299593732,
            -0.0292298235,
            -0.0285002738,
            -0.0277707241,
            -0.0270411745,
            -0.0263116248,
            -0.025582077,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0249444395,
            -0.0242148899,
            -0.0234853402,
            -0.0227557905,
            -0.0220262408,
            -0.0212966911,
            -0.0205671415,
            -0.0198375918,
            -0.0191080421,
            -0.0183784924,
            -0.0176489428,
            -0.0169193931,
            -0.0161898434,
            -0.0154602937,
            -0.0147307441,
            -0.0140011944,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0132429227,
            -0.0122701898,
            -0.0112974569,
            -0.010324724,
            -0.00935199112,
            -0.00837925915,
            -0.00740652625,
            -0.00643379334,
            -0.00546106044,
            -0.00448832754,
            -0.00351559464,
            -0.00254286267,
            -0.00157012977,
            -0.000597396865,
            0.000375336036,
            0.00134806894,
            0.00223080488,
            0.00296035432,
            0.003689904,
            0.00441945344,
            0.00514900312,
            0.00587855279,
            0.00660810247,
            0.00733765215,
            0.00806720182,
            0.0087967515,
            0.00952630118,
            0.0102558499,
            0.0109853996,
            0.0117149493,
            0.0124444989,
            0.0131740486,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0139897652,
            0.0147193149,
            0.0154488645,
            0.0161784142,
            0.0169079639,
            0.0176375136,
            0.0183670633,
            0.0190966129,
            0.0198261626,
            0.0205557123,
            0.021285262,
            0.0220148116,
            0.0227443613,
            0.023473911,
            0.0242034607,
            0.0249330103,
            0.0256625582,
            0.0263921078,
            0.0271216575,
            0.0278512072,
            0.0285807569,
            0.0293103065,
            0.0300398562,
            0.0307694059,
            0.0314989537,
            0.0322285071,
            0.0329580531,
            0.0336876065,
            0.0344171524,
            0.0351467058,
            0.0358762518,
            0.0366058014,
            0.0373353511,
            0.0380649008,
            0.0387944505,
            0.0395240001,
            0.0402535498,
            0.0409830995,
            0.0417126492,
            0.0424421988,
            0.0431717485,
            0.0439012982,
            0.0446308479,
            0.0453603975,
            0.0460899472,
            0.0468194969,
            0.0475490466,
            0.0482785963,
            0.0490081459,
            0.0506951101,
            0.0523973927,
            0.0540996753,
            0.0558019578,
            0.0575042367,
            0.059206523,
            0.0609088019,
            0.0626110882,
            0.064313367,
            0.0660156533,
            0.0677179322,
            0.0694202185,
            0.0711224973,
            0.0728247762,
            0.0745270625,
            0.0762293488,
            0.0783490613,
            0.0805377066,
            0.0827263594,
            0.0849150047,
            0.0871036574,
            0.0892923027,
            0.0914809555,
            0.0936696008,
            0.0958582461,
            0.0980468988,
            0.100235552,
            0.102424197,
            0.104612842,
            0.106801495,
            0.108990148,
            0.111178793,
            0.113011286,
            0.114713565,
            0.116415843,
            0.11811813,
            0.119820409,
            0.121522695,
            0.123224974,
            0.12492726,
            0.126629546,
            0.128331825,
            0.130034104,
            0.131736383,
            0.133438677,
            0.135140955,
            0.136843234,
            0.138545513,
            0.139658034,
            0.14038758,
            0.141117126,
            0.141846687,
            0.142576233,
            0.143305779,
            0.144035324,
            0.144764885,
            0.145494431,
            0.146223977,
            0.146953523,
            0.147683084,
            0.14841263,
            0.149142176,
            0.149871722,
            0.150601283,
            0.151330829,
            0.152060375,
            0.152789935,
            0.153519481,
            0.154249042,
            0.154978588,
            0.155708149,
            0.156437695,
            0.157167256,
            0.157896802,
            0.158626363,
            0.159355909,
            0.160085469,
            0.160815015,
            0.161544576,
            0.162274122,
            0.163003683,
            0.163733229,
            0.164462775,
            0.165192321,
            0.165921867,
            0.166651413,
            0.167380959,
            0.168110505,
            0.168840051,
            0.169569597,
            0.170299143,
            0.171028689,
            0.171758235,
            0.17248778,
            0.173217326,
            0.173946872,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.173889428,
            0.173159882,
            0.172430336,
            0.171700791,
            0.170971245,
            0.170241699,
            0.169512153,
            0.168782607,
            0.168053061,
            0.167323515,
            0.166593969,
            0.165864423,
            0.165134877,
            0.164405331,
            0.163675785,
            0.162946239,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162492424,
            0.161762863,
            0.161033317,
            0.160303757,
            0.159574211,
            0.15884465,
            0.158115104,
            0.157385543,
            0.156655997,
            0.155926436,
            0.15519689,
            0.154467329,
            0.153737783,
            0.153008223,
            0.152278677,
            0.151549116,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151686981,
            0.152416542,
            0.153146088,
            0.153875649,
            0.154605195,
            0.155334756,
            0.156064302,
            0.156793863,
            0.157523409,
            0.158252969,
            0.158982515,
            0.159712076,
            0.160441622,
            0.161171183,
            0.161900729,
            0.16263029,
            0.163359836,
            0.164089382,
            0.164818928,
            0.165548474,
            0.16627802,
            0.167007565,
            0.167737111,
            0.168466657,
            0.169196203,
            0.169925749,
            0.170655295,
            0.171384841,
            0.172114387,
            0.172843933,
            0.173573479,
            0.174303025,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.17475684,
            0.175486386,
            0.176215932,
            0.176945478,
            0.177675039,
            0.178404585,
            0.17913413,
            0.179863676,
            0.180593237,
            0.181322783,
            0.182052329,
            0.182781875,
            0.183511436,
            0.184240982,
            0.184970528,
            0.185700074,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186211333,
            0.185481787,
            0.184752241,
            0.184022695,
            0.183293134,
            0.182563588,
            0.181834042,
            0.181104496,
            0.180374935,
            0.179645389,
            0.178915843,
            0.178186297,
            0.177456737,
            0.176727191,
            0.175997645,
            0.175268099,
            0.174538553,
            0.173809007,
            0.173079461,
            0.172349915,
            0.171620369,
            0.170890823,
            0.170161277,
            0.169431731,
            0.168702185,
            0.167972639,
            0.167243093,
            0.166513547,
            0.165784001,
            0.165054455,
            0.164324909,
            0.163595363,
            0.162865818,
            0.162136257,
            0.161406711,
            0.16067715,
            0.159947604,
            0.159218043,
            0.158488497,
            0.157758936,
            0.15702939,
            0.156299829,
            0.155570284,
            0.154840723,
            0.154111177,
            0.153381616,
            0.15265207,
            0.151922509,
            0.151192963,
            0.150463402,
            0.149733856,
            0.14900431,
            0.148274764,
            0.147545218,
            0.146815658,
            0.146086112,
            0.145356566,
            0.14462702,
            0.143897459,
            0.143167913,
            0.142438367,
            0.141708821,
            0.14097926,
            0.140249714,
            0.139520168,
            0.138648912,
            0.137676179,
            0.136703447,
            0.135730714,
            0.134757981,
            0.133785248,
            0.132812515,
            0.131839782,
            0.130867064,
            0.129894316,
            0.128921598,
            0.12794885,
            0.126976132,
            0.126003385,
            0.125030667,
            0.124057926,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.12328817,
            0.122558616,
            0.12182907,
            0.121099517,
            0.120369971,
            0.119640417,
            0.118910871,
            0.118181318,
            0.117451772,
            0.116722219,
            0.115992673,
            0.115263119,
            0.114533573,
            0.11380402,
            0.113074474,
            0.112344921,
            0.111615375,
            0.110885821,
            0.110156275,
            0.109426722,
            0.108697176,
            0.107967623,
            0.107238077,
            0.106508523,
            0.105778977,
            0.105049424,
            0.104319878,
            0.103590325,
            0.102860779,
            0.102131225,
            0.101401679,
            0.100672126,
            0.0999425799,
            0.0992130265,
            0.0984834805,
            0.0977539271,
            0.0970243812,
            0.0962948278,
            0.0955652818,
            0.0948357284,
            0.0941061825,
            0.0933766365,
            0.0926470831,
            0.0919175297,
            0.0911879838,
            0.0904584378,
            0.0897288844,
            0.088999331,
            0.088269785,
            0.0866134614,
            0.0849111751,
            0.0832088962,
            0.0815066099,
            0.0798043311,
            0.0781020448,
            0.0763997659,
            0.0746974796,
            0.0729952008,
            0.0712929219,
            0.0695906356,
            0.0678883493,
            0.0661860704,
            0.0644837916,
            0.0627815053,
            0.0610792227,
            0.0601811707,
            0.059451621,
            0.0587220713,
            0.0579925217,
            0.057262972,
            0.0565334223,
            0.0558038726,
            0.055074323,
            0.0543447733,
            0.0536152236,
            0.0528856739,
            0.0521561243,
            0.0514265746,
            0.0506970249,
            0.0499674752,
            0.0492379256,
            0.047997117,
            0.0465380177,
            0.0450789183,
            0.043619819,
            0.0421607196,
            0.0407016203,
            0.0392425209,
            0.0377834216,
            0.0363243222,
            0.0348652229,
            0.0334061235,
            0.0319470242,
            0.0304879267,
            0.0290288273,
            0.027569728,
            0.0261106286,
            0.0246515293,
            0.0231924299,
            0.0217333306,
            0.0202742331,
            0.0188151337,
            0.0173560344,
            0.015896935,
            0.0144378357,
            0.0129787363,
            0.011519637,
            0.0100605376,
            0.00860143825,
            0.0071423389,
            0.00568323955,
            0.0042241402,
            0.00276504271,
            0.00119679747,
            -0.000505484873,
            -0.00220776722,
            -0.0039100498,
            -0.00561233191,
            -0.00731461402,
            -0.0090168966,
            -0.0107191792,
            -0.0124214618,
            -0.0141237434,
            -0.015826026,
            -0.0175283086,
            -0.0192305911,
            -0.0209328737,
            -0.0226351563,
            -0.0243374389,
            -0.0257256888,
            -0.0264552385,
            -0.0271847881,
            -0.0279143378,
            -0.0286438875,
            -0.0293734372,
            -0.0301029868,
            -0.0308325365,
            -0.0315620862,
            -0.0322916359,
            -0.0330211855,
            -0.0337507352,
            -0.0344802849,
            -0.0352098346,
            -0.0359393843,
            -0.0366689339,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.036565531,
            -0.0358359814,
            -0.0351064317,
            -0.034376882,
            -0.0336473323,
            -0.0329177827,
            -0.032188233,
            -0.0314586833,
            -0.0307291355,
            -0.0299995858,
            -0.0292700361,
            -0.0285404865,
            -0.0278109368,
            -0.0270813871,
            -0.0263518374,
            -0.0256222878,
            -0.0248927381,
            -0.0241631884,
            -0.0234336387,
            -0.0227040891,
            -0.0219745394,
            -0.0212449897,
            -0.0205154419,
            -0.0197858922,
            -0.0190563425,
            -0.0183267929,
            -0.0175972432,
            -0.0168676935,
            -0.0161381438,
            -0.0154085932,
            -0.0146790445,
            -0.0139494948,
            -0.01305144,
            -0.0120787071,
            -0.0111059742,
            -0.0101332422,
            -0.00916050933,
            -0.00818777643,
            -0.00721504353,
            -0.00624231063,
            -0.00526957773,
            -0.00429684483,
            -0.00332411192,
            -0.00235137902,
            -0.00137864612,
            -0.00040591415,
            0.000566818751,
            0.00153955165,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00228250516,
            0.0030120546,
            0.00374160428,
            0.00447115395,
            0.00520070363,
            0.0059302533,
            0.00665980252,
            0.00738935219,
            0.0081189014,
            0.00884845108,
            0.00957800075,
            0.0103075504,
            0.0110371001,
            0.0117666498,
            0.0124961995,
            0.0132257491,
            0.0141850784,
            0.0156441778,
            0.0171032771,
            0.0185623765,
            0.0200214759,
            0.0214805733,
            0.0229396727,
            0.024398772,
            0.0258578714,
            0.0273169708,
            0.0287760701,
            0.0302351695,
            0.0316942707,
            0.03315337,
            0.0346124656,
            0.036071565,
            0.0373927988,
            0.0381223485,
            0.0388518944,
            0.0395814478,
            0.0403109938,
            0.0410405435,
            0.0417700931,
            0.0424996428,
            0.0432291925,
            0.0439587422,
            0.0446882918,
            0.0454178415,
            0.0461473912,
            0.0468769409,
            0.0476064906,
            0.0483360402,
            0.0489736795,
            0.0482441299,
            0.0475145802,
            0.0467850305,
            0.0460554808,
            0.0453259312,
            0.0445963815,
            0.0438668318,
            0.0431372821,
            0.0424077325,
            0.0416781828,
            0.0409486331,
            0.0402190834,
            0.0394895338,
            0.0387599841,
            0.0380304344,
            0.0373008847,
            0.036571335,
            0.0358417854,
            0.0351122357,
            0.034382686,
            0.0336531363,
            0.0329235867,
            0.032194037,
            0.0314644873,
            0.0307349395,
            0.0300053898,
            0.0292758401,
            0.0285462905,
            0.0278167408,
            0.0270871911,
            0.0263576414,
            0.0256280918,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0259899944,
            0.0267195441,
            0.0274490938,
            0.0281786434,
            0.0289081931,
            0.0296377428,
            0.0303672925,
            0.0310968421,
            0.0318263918,
            0.0325559415,
            0.0332854912,
            0.0340150408,
            0.0347445905,
            0.0354741402,
            0.0362036899,
            0.0369332395,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0375708751,
            0.0383004248,
            0.0390299745,
            0.0397595242,
            0.0404890738,
            0.0412186235,
            0.0419481732,
            0.0426777229,
            0.0434072725,
            0.0441368222,
            0.0448663719,
            0.0455959216,
            0.0463254713,
            0.0470550209,
            0.0477845706,
            0.0485141203,
            0.04924367,
            0.0499732196,
            0.0507027693,
            0.051432319,
            0.0521618687,
            0.0528914183,
            0.053620968,
            0.0543505177,
            0.0550800674,
            0.055809617,
            0.0565391667,
            0.0572687164,
            0.0579982661,
            0.0587278157,
            0.0594573617,
            0.0601869151,
            0.0610926263,
            0.0627949089,
            0.0644971952,
            0.066199474,
            0.0679017603,
            0.0696040392,
            0.071306318,
            0.0730086043,
            0.0747108832,
            0.0764131695,
            0.0781154484,
            0.0798177347,
            0.0815200135,
            0.0832222998,
            0.0849245787,
            0.086626865,
            0.0883157402,
            0.0897748396,
            0.0912339389,
            0.0926930383,
            0.0941521376,
            0.095611237,
            0.0970703363,
            0.0985294357,
            0.099988535,
            0.101447634,
            0.102906734,
            0.104365833,
            0.105824932,
            0.107284032,
            0.108743131,
            0.110202231,
            0.11166133,
            0.112442575,
            0.113172129,
            0.113901675,
            0.114631228,
            0.115360774,
            0.116090328,
            0.116819873,
            0.117549427,
            0.118278973,
            0.119008526,
            0.119738072,
            0.120467626,
            0.121197172,
            0.121926725,
            0.122656271,
            0.123385824,
            0.124310687,
            0.12528342,
            0.126256153,
            0.127228886,
            0.128201619,
            0.129174352,
            0.130147085,
            0.131119817,
            0.13209255,
            0.133065283,
            0.134038016,
            0.135010749,
            0.135983482,
            0.136956215,
            0.137928948,
            0.138901681,
            0.139709741,
            0.140439287,
            0.141168833,
            0.141898379,
            0.142627925,
            0.143357486,
            0.144087031,
            0.144816577,
            0.145546123,
            0.146275684,
            0.14700523,
            0.147734776,
            0.148464322,
            0.149193883,
            0.149923429,
            0.150652975,
            0.151382536,
            0.152112082,
            0.152841642,
            0.153571188,
            0.154300749,
            0.155030295,
            0.155759841,
            0.156489402,
            0.157218963,
            0.157948509,
            0.158678055,
            0.159407616,
            0.160137162,
            0.160866722,
            0.161596268,
            0.162325829,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162618801,
            0.16188924,
            0.161159694,
            0.160430133,
            0.159700587,
            0.158971027,
            0.158241481,
            0.15751192,
            0.156782374,
            0.156052813,
            0.155323267,
            0.154593706,
            0.15386416,
            0.153134599,
            0.152405053,
            0.151675493,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150400221,
            0.149670675,
            0.148941115,
            0.148211569,
            0.147482023,
            0.146752477,
            0.146022916,
            0.14529337,
            0.144563824,
            0.143834278,
            0.143104717,
            0.142375171,
            0.141645625,
            0.140916079,
            0.140186518,
            0.139456972,
            0.138564661,
            0.137591928,
            0.136619195,
            0.135646462,
            0.13467373,
            0.133700997,
            0.132728264,
            0.131755531,
            0.130782798,
            0.129810065,
            0.128837332,
            0.127864599,
            0.126891866,
            0.125919133,
            0.124946408,
            0.123973675,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123408802,
            0.122679248,
            0.121949703,
            0.121220149,
            0.120490603,
            0.11976105,
            0.119031504,
            0.11830195,
            0.117572404,
            0.116842851,
            0.116113305,
            0.115383752,
            0.114654206,
            0.113924652,
            0.113195106,
            0.112465553,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111098371,
            0.110368818,
            0.109639272,
            0.108909719,
            0.108180173,
            0.107450619,
            0.106721073,
            0.10599152,
            0.105261974,
            0.104532421,
            0.103802875,
            0.103073321,
            0.102343775,
            0.101614222,
            0.100884676,
            0.100155123,
            0.0994255766,
            0.0986960232,
            0.0979664773,
            0.0972369239,
            0.0965073779,
            0.0957778245,
            0.0950482786,
            0.0943187252,
            0.0935891792,
            0.0928596258,
            0.0921300799,
            0.0914005339,
            0.0906709805,
            0.0899414271,
            0.0892118812,
            0.0884823352,
            0.0877527818,
            0.0870232359,
            0.0862936825,
            0.0855641365,
            0.0848345831,
            0.0841050372,
            0.0833754838,
            0.0826459378,
            0.0819163844,
            0.0811868384,
            0.080457285,
            0.0797277391,
            0.0789981857,
            0.0782686397,
            0.0775390863,
            0.0768095404,
            0.0759497806,
            0.0749770477,
            0.0740043148,
            0.0730315819,
            0.072058849,
            0.0710861161,
            0.0701133832,
            0.0691406503,
            0.0681679174,
            0.0671951845,
            0.0662224516,
            0.0652497187,
            0.0642769858,
            0.0633042529,
            0.06233152,
            0.0613587871,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0602156371,
            0.0594860874,
            0.0587565377,
            0.0580269881,
            0.0572974384,
            0.0565678887,
            0.055838339,
            0.0551087894,
            0.0543792397,
            0.05364969,
            0.0529201403,
            0.0521905906,
            0.051461041,
            0.0507314913,
            0.0500019416,
            0.0492723919,
            0.0485428423,
            0.0478132926,
            0.0470837429,
            0.0463541932,
            0.0456246436,
            0.0448950939,
            0.0441655442,
            0.0434359945,
            0.0427064449,
            0.0419768952,
            0.0412473455,
            0.0405177958,
            0.0397882462,
            0.0390586965,
            0.0383291468,
            0.0375996009,
            0.0376398116,
            0.0383693613,
            0.039098911,
            0.0398284569,
            0.0405580103,
            0.0412875563,
            0.042017106,
            0.0427466556,
            0.0434762053,
            0.044205755,
            0.0449353047,
            0.0456648543,
            0.046394404,
            0.0471239537,
            0.0478535034,
            0.0485830531,
            0.0493126027,
            0.0500421524,
            0.0507717021,
            0.0515012518,
            0.0522308014,
            0.0529603511,
            0.0536899008,
            0.0544194505,
            0.0551490001,
            0.0558785498,
            0.0566080995,
            0.0573376492,
            0.0580671988,
            0.0587967485,
            0.0595262982,
            0.0602558479,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607671067,
            0.060037557,
            0.0593080074,
            0.0585784577,
            0.057848908,
            0.0571193583,
            0.0563898087,
            0.055660259,
            0.0549307093,
            0.0542011596,
            0.05347161,
            0.0527420603,
            0.0520125106,
            0.0512829609,
            0.0505534112,
            0.0498238616,
            0.0490943119,
            0.0483647622,
            0.0476352125,
            0.0469056629,
            0.0461761132,
            0.0454465635,
            0.0447170138,
            0.0439874679,
            0.0432579145,
            0.0425283685,
            0.0417988151,
            0.0410692692,
            0.0403397158,
            0.0396101698,
            0.0388806202,
            0.0381510705,
            0.0374215208,
            0.0366919711,
            0.0359624214,
            0.0352328718,
            0.0345033221,
            0.0337737724,
            0.0330442227,
            0.0323146731,
            0.0315851234,
            0.0308555737,
            0.030126024,
            0.0293964744,
            0.0286669247,
            0.027937375,
            0.0272078253,
            0.0264782757,
            0.025748726,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254672468,
            0.0240081474,
            0.0225490481,
            0.0210899487,
            0.0196308494,
            0.01817175,
            0.0167126507,
            0.0152535522,
            0.0137944529,
            0.0123353535,
            0.0108762551,
            0.00941715576,
            0.00795805641,
            0.00649895705,
            0.0050398577,
            0.00358075835,
            0.002121659,
            0.0010953116,
            0.000122578815,
            -0.000850154087,
            -0.00182288676,
            -0.00279561942,
            -0.00376835233,
            -0.00474108523,
            -0.00571381766,
            -0.00668655057,
            -0.00765928347,
            -0.00863201637,
            -0.00960474927,
            -0.0105774822,
            -0.0115502141,
            -0.012522947,
            -0.0134956799,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0143688414,
            -0.0150983911,
            -0.0158279408,
            -0.0165574905,
            -0.0172870401,
            -0.0180165898,
            -0.0187461395,
            -0.0194756892,
            -0.0202052388,
            -0.0209347885,
            -0.0216643382,
            -0.022393886,
            -0.0231234357,
            -0.0238529854,
            -0.024582535,
            -0.0253120847,
            -0.0260416344,
            -0.0267711841,
            -0.0275007337,
            -0.0282302834,
            -0.0289598331,
            -0.0296893828,
            -0.0304189324,
            -0.0311484821,
            -0.0318780318,
            -0.0326075815,
            -0.0333371311,
            -0.0340666808,
            -0.0347962305,
            -0.0355257802,
            -0.0362553298,
            -0.0369848795,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0376225188,
            -0.0383520648,
            -0.0390816145,
            -0.0398111641,
            -0.0405407138,
            -0.0412702635,
            -0.0419998132,
            -0.0427293628,
            -0.0434589125,
            -0.0441884622,
            -0.0449180119,
            -0.0456475616,
            -0.0463771112,
            -0.0471066609,
            -0.0478362106,
            -0.0485657603,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0489276648,
            -0.0481981151,
            -0.0474685654,
            -0.0467390157,
            -0.0460094661,
            -0.0452799164,
            -0.0445503667,
            -0.043820817,
            -0.0430912673,
            -0.0423617177,
            -0.041632168,
            -0.0409026183,
            -0.0401730686,
            -0.039443519,
            -0.0387139693,
            -0.0379844196
          ],
          [
            -0.0607842803,
            -0.0600547306,
            -0.0593251809,
            -0.0585956313,
            -0.0578660816,
            -0.0571365319,
            -0.0564069822,
            -0.0556774326,
            -0.0549478829,
            -0.0542183332,
            -0.0534887835,
            -0.0527592339,
            -0.0520296842,
            -0.0513001345,
            -0.0505705848,
            -0.0498410352,
            -0.0491114855,
            -0.0483819358,
            -0.0476523861,
            -0.0469228365,
            -0.0461932868,
            -0.0454637408,
            -0.0447341874,
            -0.0440046415,
            -0.0432750881,
            -0.0425455421,
            -0.0418159924,
            -0.0410864428,
            -0.0403568931,
            -0.0396273434,
            -0.0388977937,
            -0.0381682441,
            -0.0374386944,
            -0.0367091447,
            -0.035979595,
            -0.0352500454,
            -0.0345204957,
            -0.033790946,
            -0.0330613963,
            -0.0323318467,
            -0.031602297,
            -0.0308727473,
            -0.0301431976,
            -0.0294136479,
            -0.0286840983,
            -0.0279545486,
            -0.0272249989,
            -0.0264954492,
            -0.0257658996,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0251282621,
            -0.0243987124,
            -0.0236691628,
            -0.0229396131,
            -0.0222100634,
            -0.0214805137,
            -0.0207509641,
            -0.0200214162,
            -0.0192918666,
            -0.0185623169,
            -0.0178327672,
            -0.0171032175,
            -0.0163736679,
            -0.0156441182,
            -0.0149145676,
            -0.0141850188,
            -0.0133654717,
            -0.0123927388,
            -0.0114200059,
            -0.010447273,
            -0.00947454013,
            -0.00850180816,
            -0.00752907526,
            -0.00655634236,
            -0.00558360945,
            -0.00461087655,
            -0.00363814365,
            -0.00266541168,
            -0.00169267878,
            -0.000719945878,
            0.000252787024,
            0.00122551993,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.0018459243,
            0.000873191515,
            -9.95411538e-5,
            -0.00107227406,
            -0.00204500696,
            -0.00301773939,
            -0.00399047229,
            -0.0049632052,
            -0.0059359381,
            -0.006908671,
            -0.0078814039,
            -0.00885413587,
            -0.00982686877,
            -0.0107996017,
            -0.0117723346,
            -0.0127450675,
            -0.0137178004,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0131088849,
            -0.0114066023,
            -0.00970431976,
            -0.00800203718,
            -0.00629975554,
            -0.00459747296,
            -0.00289519038,
            -0.0011929078,
            0.000509373844,
            0.00221165642,
            0.003913939,
            0.00561622158,
            0.00731850415,
            0.00902078673,
            0.0107230693,
            0.01242535,
            0.0140701886,
            0.015529288,
            0.0169883873,
            0.0184474848,
            0.0199065842,
            0.0213656835,
            0.0228247829,
            0.0242838822,
            0.0257429816,
            0.0272020809,
            0.0286611803,
            0.0301202796,
            0.031579379,
            0.0330384783,
            0.0344975777,
            0.0359566733,
            0.0373353511,
            0.0380649008,
            0.0387944505,
            0.0395240001,
            0.0402535498,
            0.0409830995,
            0.0417126492,
            0.0424421988,
            0.0431717485,
            0.0439012982,
            0.0446308479,
            0.0453603975,
            0.0460899472,
            0.0468194969,
            0.0475490466,
            0.0482785963,
            0.0490081459,
            0.0506951101,
            0.0523973927,
            0.0540996753,
            0.0558019578,
            0.0575042367,
            0.059206523,
            0.0609088019,
            0.0626110882,
            0.064313367,
            0.0660156533,
            0.0677179322,
            0.0694202185,
            0.0711224973,
            0.0728247762,
            0.0745270625,
            0.0762293488,
            0.0783490613,
            0.0805377066,
            0.0827263594,
            0.0849150047,
            0.0871036574,
            0.0892923027,
            0.0914809555,
            0.0936696008,
            0.0958582461,
            0.0980468988,
            0.100235552,
            0.102424197,
            0.104612842,
            0.106801495,
            0.108990148,
            0.111178793,
            0.113011286,
            0.114713565,
            0.116415843,
            0.11811813,
            0.119820409,
            0.121522695,
            0.123224974,
            0.12492726,
            0.126629546,
            0.128331825,
            0.130034104,
            0.131736383,
            0.133438677,
            0.135140955,
            0.136843234,
            0.138545513,
            0.139658034,
            0.14038758,
            0.141117126,
            0.141846687,
            0.142576233,
            0.143305779,
            0.144035324,
            0.144764885,
            0.145494431,
            0.146223977,
            0.146953523,
            0.147683084,
            0.14841263,
            0.149142176,
            0.149871722,
            0.150601283,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151238918,
            0.151968464,
            0.152698025,
            0.153427571,
            0.154157132,
            0.154886678,
            0.155616239,
            0.156345785,
            0.157075346,
            0.157804891,
            0.158534452,
            0.159263998,
            0.159993559,
            0.160723105,
            0.161452666,
            0.162182212,
            0.162911773,
            0.163641319,
            0.164370865,
            0.165100411,
            0.165829957,
            0.166559502,
            0.167289048,
            0.168018594,
            0.16874814,
            0.169477686,
            0.170207232,
            0.170936778,
            0.171666324,
            0.17239587,
            0.173125416,
            0.173854962,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174073249,
            0.173343703,
            0.172614157,
            0.171884611,
            0.171155065,
            0.170425519,
            0.169695973,
            0.168966427,
            0.168236881,
            0.167507336,
            0.16677779,
            0.166048244,
            0.165318698,
            0.164589152,
            0.163859606,
            0.16313006,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163451746,
            0.164181292,
            0.164910838,
            0.165640384,
            0.16636993,
            0.167099476,
            0.167829022,
            0.168558568,
            0.169288114,
            0.17001766,
            0.170747206,
            0.171476752,
            0.172206298,
            0.172935843,
            0.173665389,
            0.174394935,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.17466493,
            0.175394475,
            0.176124021,
            0.176853567,
            0.177583128,
            0.178312674,
            0.17904222,
            0.179771766,
            0.180501327,
            0.181230873,
            0.181960419,
            0.182689965,
            0.183419526,
            0.184149072,
            0.184878618,
            0.185608163,
            0.186211333,
            0.185481787,
            0.184752241,
            0.184022695,
            0.183293134,
            0.182563588,
            0.181834042,
            0.181104496,
            0.180374935,
            0.179645389,
            0.178915843,
            0.178186297,
            0.177456737,
            0.176727191,
            0.175997645,
            0.175268099,
            0.174538553,
            0.173809007,
            0.173079461,
            0.172349915,
            0.171620369,
            0.170890823,
            0.170161277,
            0.169431731,
            0.168702185,
            0.167972639,
            0.167243093,
            0.166513547,
            0.165784001,
            0.165054455,
            0.164324909,
            0.163595363,
            0.162865818,
            0.162136257,
            0.161406711,
            0.16067715,
            0.159947604,
            0.159218043,
            0.158488497,
            0.157758936,
            0.15702939,
            0.156299829,
            0.155570284,
            0.154840723,
            0.154111177,
            0.153381616,
            0.15265207,
            0.151922509,
            0.151192963,
            0.150463402,
            0.149733856,
            0.14900431,
            0.148274764,
            0.147545218,
            0.146815658,
            0.146086112,
            0.145356566,
            0.14462702,
            0.143897459,
            0.143167913,
            0.142438367,
            0.141708821,
            0.14097926,
            0.140249714,
            0.139520168,
            0.138648912,
            0.137676179,
            0.136703447,
            0.135730714,
            0.134757981,
            0.133785248,
            0.132812515,
            0.131839782,
            0.130867064,
            0.129894316,
            0.128921598,
            0.12794885,
            0.126976132,
            0.126003385,
            0.125030667,
            0.124057926,
            0.123196252,
            0.122466706,
            0.121737152,
            0.121007606,
            0.120278053,
            0.119548507,
            0.118818954,
            0.118089408,
            0.117359854,
            0.116630308,
            0.115900755,
            0.115171209,
            0.114441663,
            0.11371211,
            0.112982556,
            0.11225301,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111615375,
            0.110885821,
            0.110156275,
            0.109426722,
            0.108697176,
            0.107967623,
            0.107238077,
            0.106508523,
            0.105778977,
            0.105049424,
            0.104319878,
            0.103590325,
            0.102860779,
            0.102131225,
            0.101401679,
            0.100672126,
            0.0999425799,
            0.0992130265,
            0.0984834805,
            0.0977539271,
            0.0970243812,
            0.0962948278,
            0.0955652818,
            0.0948357284,
            0.0941061825,
            0.0933766365,
            0.0926470831,
            0.0919175297,
            0.0911879838,
            0.0904584378,
            0.0897288844,
            0.088999331,
            0.088269785,
            0.0859183744,
            0.0834865421,
            0.0810547099,
            0.0786228776,
            0.0761910453,
            0.0737592131,
            0.0713273883,
            0.0688955486,
            0.0664637238,
            0.0640318841,
            0.0616000593,
            0.059168227,
            0.056736391,
            0.0543045625,
            0.0518727303,
            0.049440898,
            0.0484164655,
            0.0476869158,
            0.0469573662,
            0.0462278165,
            0.0454982668,
            0.0447687171,
            0.0440391675,
            0.0433096178,
            0.0425800681,
            0.0418505184,
            0.0411209688,
            0.0403914191,
            0.0396618694,
            0.0389323197,
            0.0382027701,
            0.0374732204,
            0.0362324119,
            0.0347733125,
            0.0333142132,
            0.0318551138,
            0.0303960145,
            0.0289369151,
            0.0274778157,
            0.0260187164,
            0.024559617,
            0.0231005177,
            0.0216414183,
            0.0201823208,
            0.0187232215,
            0.0172641221,
            0.0158050228,
            0.0143459234,
            0.0133061716,
            0.012576622,
            0.0118470723,
            0.0111175235,
            0.0103879739,
            0.00965842418,
            0.00892887451,
            0.00819932483,
            0.00746977516,
            0.00674022548,
            0.0060106758,
            0.00528112613,
            0.00455157645,
            0.00382202677,
            0.0030924771,
            0.00236292835,
            0.00152423314,
            0.000551500358,
            -0.000421232544,
            -0.00139396521,
            -0.00236669788,
            -0.00333943078,
            -0.00431216368,
            -0.00528489612,
            -0.00625762902,
            -0.00723036192,
            -0.00820309483,
            -0.00917582773,
            -0.0101485606,
            -0.0111212935,
            -0.0120940255,
            -0.0130667584,
            -0.0139609836,
            -0.0146905333,
            -0.015420083,
            -0.0161496326,
            -0.0168791823,
            -0.017608732,
            -0.0183382817,
            -0.0190678313,
            -0.019797381,
            -0.0205269307,
            -0.0212564804,
            -0.02198603,
            -0.0227155797,
            -0.0234451294,
            -0.0241746791,
            -0.0249042269,
            -0.025346553,
            -0.0246170033,
            -0.0238874536,
            -0.0231579039,
            -0.0224283542,
            -0.0216988046,
            -0.0209692549,
            -0.0202397052,
            -0.0195101555,
            -0.0187806059,
            -0.0180510562,
            -0.0173215084,
            -0.0165919587,
            -0.015862409,
            -0.0151328584,
            -0.0144033087,
            -0.0137771601,
            -0.0145067098,
            -0.0152362594,
            -0.0159658082,
            -0.0166953579,
            -0.0174249075,
            -0.0181544572,
            -0.0188840069,
            -0.0196135566,
            -0.0203431062,
            -0.0210726559,
            -0.0218022056,
            -0.0225317553,
            -0.0232613049,
            -0.0239908546,
            -0.0247204043,
            -0.025449954,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0248927381,
            -0.0241631884,
            -0.0234336387,
            -0.0227040891,
            -0.0219745394,
            -0.0212449897,
            -0.0205154419,
            -0.0197858922,
            -0.0190563425,
            -0.0183267929,
            -0.0175972432,
            -0.0168676935,
            -0.0161381438,
            -0.0154085932,
            -0.0146790445,
            -0.0139494948,
            -0.01305144,
            -0.0120787071,
            -0.0111059742,
            -0.0101332422,
            -0.00916050933,
            -0.00818777643,
            -0.00721504353,
            -0.00624231063,
            -0.00526957773,
            -0.00429684483,
            -0.00332411192,
            -0.00235137902,
            -0.00137864612,
            -0.00040591415,
            0.000566818751,
            0.00153955165,
            0.00237441692,
            0.00310396636,
            0.00383351604,
            0.00456306571,
            0.00529261539,
            0.00602216506,
            0.00675171427,
            0.00748126395,
            0.00821081363,
            0.0089403633,
            0.00966991298,
            0.0103994627,
            0.0111290123,
            0.011858562,
            0.0125881108,
            0.0133176604,
            0.0140472101,
            0.0147767598,
            0.0155063095,
            0.0162358582,
            0.0169654079,
            0.0176949576,
            0.0184245072,
            0.0191540569,
            0.0198836066,
            0.0206131563,
            0.0213427059,
            0.0220722556,
            0.0228018053,
            0.023531355,
            0.0242609046,
            0.0249904543,
            0.0259497836,
            0.027408883,
            0.0288679823,
            0.0303270817,
            0.031786181,
            0.0332452804,
            0.0347043797,
            0.0361634791,
            0.0376225784,
            0.0390816778,
            0.0405407771,
            0.0419998765,
            0.0434589759,
            0.0449180752,
            0.0463771708,
            0.0478362702,
            0.049157504,
            0.0498870537,
            0.0506165996,
            0.051346153,
            0.052075699,
            0.0528052486,
            0.0535347983,
            0.054264348,
            0.0549938977,
            0.0557234474,
            0.056452997,
            0.0571825467,
            0.0579120964,
            0.0586416461,
            0.0593711957,
            0.0601007454,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0601007454,
            0.0593711957,
            0.0586416461,
            0.0579120964,
            0.0571825467,
            0.056452997,
            0.0557234474,
            0.0549938977,
            0.054264348,
            0.0535347983,
            0.0528052524,
            0.052075699,
            0.051346153,
            0.0506165996,
            0.0498870537,
            0.0491575003,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0494274944,
            0.0501570441,
            0.0508865938,
            0.0516161434,
            0.0523456931,
            0.0530752391,
            0.0538047925,
            0.0545343384,
            0.0552638918,
            0.0559934378,
            0.0567229874,
            0.0574525371,
            0.0581820905,
            0.0589116365,
            0.0596411861,
            0.0603707358,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0613070875,
            0.0630093738,
            0.0647116527,
            0.066413939,
            0.0681162179,
            0.0698184967,
            0.071520783,
            0.0732230619,
            0.0749253482,
            0.076627627,
            0.0783299133,
            0.0800321922,
            0.0817344785,
            0.0834367573,
            0.0851390436,
            0.0868413225,
            0.0884995684,
            0.0899586678,
            0.0914177597,
            0.0928768665,
            0.0943359584,
            0.0957950577,
            0.0972541571,
            0.0987132564,
            0.100172356,
            0.101631455,
            0.103090554,
            0.104549654,
            0.106008753,
            0.107467853,
            0.108926952,
            0.110386051,
            0.111858554,
            0.11356084,
            0.115263119,
            0.116965406,
            0.118667684,
            0.120369971,
            0.12207225,
            0.123774529,
            0.125476807,
            0.127179101,
            0.12888138,
            0.130583659,
            0.132285938,
            0.133988231,
            0.13569051,
            0.137392789,
            0.139095068,
            0.139893562,
            0.140623108,
            0.141352654,
            0.142082199,
            0.14281176,
            0.143541306,
            0.144270852,
            0.145000398,
            0.145729959,
            0.146459505,
            0.147189051,
            0.147918597,
            0.148648158,
            0.149377704,
            0.15010725,
            0.150836796,
            0.151566356,
            0.152295902,
            0.153025463,
            0.153755009,
            0.15448457,
            0.155214116,
            0.155943677,
            0.156673223,
            0.157402784,
            0.15813233,
            0.15886189,
            0.159591436,
            0.160320997,
            0.161050543,
            0.161780104,
            0.16250965,
            0.163239196,
            0.163968742,
            0.164698288,
            0.165427834,
            0.16615738,
            0.166886926,
            0.167616472,
            0.168346018,
            0.169075564,
            0.16980511,
            0.170534655,
            0.171264201,
            0.171993747,
            0.172723293,
            0.173452839,
            0.174182385,
            0.174911931,
            0.175641492,
            0.176371038,
            0.177100584,
            0.17783013,
            0.178559691,
            0.179289237,
            0.180018783,
            0.180748329,
            0.181477889,
            0.182207435,
            0.182936981,
            0.183666527,
            0.184396088,
            0.185125634,
            0.18585518,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186056241,
            0.185326695,
            0.184597135,
            0.183867589,
            0.183138043,
            0.182408497,
            0.181678936,
            0.18094939,
            0.180219844,
            0.179490298,
            0.178760737,
            0.178031191,
            0.177301645,
            0.176572099,
            0.175842538,
            0.175112993,
            0.174383447,
            0.173653901,
            0.172924355,
            0.172194809,
            0.171465263,
            0.170735717,
            0.170006171,
            0.169276625,
            0.168547079,
            0.167817533,
            0.167087987,
            0.166358441,
            0.165628895,
            0.164899349,
            0.164169803,
            0.163440257,
            0.162710711,
            0.161981151,
            0.161251605,
            0.160522044,
            0.159792498,
            0.159062952,
            0.158333391,
            0.15760383,
            0.156874284,
            0.156144738,
            0.155415177,
            0.154685631,
            0.153956071,
            0.153226525,
            0.152496964,
            0.151767418,
            0.151037857,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150492132,
            0.149762586,
            0.14903304,
            0.148303479,
            0.147573933,
            0.146844387,
            0.146114841,
            0.14538528,
            0.144655734,
            0.143926188,
            0.143196642,
            0.142467082,
            0.141737536,
            0.14100799,
            0.140278444,
            0.139548883,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.138934225,
            0.137231946,
            0.135529667,
            0.133827388,
            0.132125095,
            0.130422816,
            0.128720537,
            0.127018258,
            0.125315964,
            0.123613685,
            0.121911407,
            0.12020912,
            0.118506841,
            0.116804555,
            0.115102276,
            0.11339999,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111098371,
            0.110368818,
            0.109639272,
            0.108909719,
            0.108180173,
            0.107450619,
            0.106721073,
            0.10599152,
            0.105261974,
            0.104532421,
            0.103802875,
            0.103073321,
            0.102343775,
            0.101614222,
            0.100884676,
            0.100155123,
            0.0994255766,
            0.0986960232,
            0.0979664773,
            0.0972369239,
            0.0965073779,
            0.0957778245,
            0.0950482786,
            0.0943187252,
            0.0935891792,
            0.0928596258,
            0.0921300799,
            0.0914005339,
            0.0906709805,
            0.0899414271,
            0.0892118812,
            0.0884823352,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0878446922,
            0.0871151462,
            0.0863855928,
            0.0856560469,
            0.0849264935,
            0.0841969475,
            0.0834673941,
            0.0827378482,
            0.0820082948,
            0.0812787488,
            0.0805491954,
            0.0798196495,
            0.0790900961,
            0.0783605501,
            0.0776309967,
            0.0769014508,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0761948749,
            0.075222142,
            0.0742494091,
            0.0732766837,
            0.0723039508,
            0.0713312179,
            0.070358485,
            0.0693857521,
            0.0684130192,
            0.0674402863,
            0.0664675534,
            0.0654948205,
            0.0645220876,
            0.0635493547,
            0.0625766218,
            0.0616038851,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0602156371,
            0.0594860874,
            0.0587565377,
            0.0580269881,
            0.0572974384,
            0.0565678887,
            0.055838339,
            0.0551087894,
            0.0543792397,
            0.05364969,
            0.0529201403,
            0.0521905906,
            0.051461041,
            0.0507314913,
            0.0500019416,
            0.0492723919,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0493126027,
            0.0500421524,
            0.0507717021,
            0.0515012518,
            0.0522308014,
            0.0529603511,
            0.0536899008,
            0.0544194505,
            0.0551490001,
            0.0558785498,
            0.0566080995,
            0.0573376492,
            0.0580671988,
            0.0587967485,
            0.0595262982,
            0.0602558479,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607671067,
            0.060037557,
            0.0593080074,
            0.0585784577,
            0.057848908,
            0.0571193583,
            0.0563898087,
            0.055660259,
            0.0549307093,
            0.0542011596,
            0.05347161,
            0.0527420603,
            0.0520125106,
            0.0512829609,
            0.0505534112,
            0.0498238616,
            0.0490943119,
            0.0483647622,
            0.0476352125,
            0.0469056629,
            0.0461761132,
            0.0454465635,
            0.0447170138,
            0.0439874679,
            0.0432579145,
            0.0425283685,
            0.0417988151,
            0.0410692692,
            0.0403397158,
            0.0396101698,
            0.0388806202,
            0.0381510705,
            0.0374215208,
            0.0366919711,
            0.0359624214,
            0.0352328718,
            0.0345033221,
            0.0337737724,
            0.0330442227,
            0.0323146731,
            0.0315851234,
            0.0308555737,
            0.030126024,
            0.0293964744,
            0.0286669247,
            0.027937375,
            0.0272078253,
            0.0264782757,
            0.025748726,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0252030008,
            0.0244734511,
            0.0237439014,
            0.0230143517,
            0.022284802,
            0.0215552524,
            0.0208257027,
            0.020096153,
            0.0193666033,
            0.0186370537,
            0.017907504,
            0.0171779543,
            0.0164484046,
            0.015718855,
            0.0149893062,
            0.0142597565,
            0.0139208315,
            0.0146503812,
            0.0153799308,
            0.0161094815,
            0.0168390293,
            0.0175685789,
            0.0182981286,
            0.0190276783,
            0.019757228,
            0.0204867776,
            0.0212163273,
            0.021945877,
            0.0226754267,
            0.0234049764,
            0.024134526,
            0.0248640757,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254672468,
            0.0240081474,
            0.0225490481,
            0.0210899487,
            0.0196308494,
            0.01817175,
            0.0167126507,
            0.0152535522,
            0.0137944529,
            0.0123353535,
            0.0108762551,
            0.00941715576,
            0.00795805641,
            0.00649895705,
            0.0050398577,
            0.00358075835,
            0.002121659,
            0.000446184771,
            -0.00125609757,
            -0.00295838015,
            -0.00466066226,
            -0.00636294484,
            -0.00806522742,
            -0.00976750907,
            -0.0114697916,
            -0.0131720742,
            -0.0148743559,
            -0.0165766384,
            -0.018278921,
            -0.0199812036,
            -0.0216834862,
            -0.0233857688,
            -0.0250880513,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0258635562,
            -0.0265931059,
            -0.0273226555,
            -0.0280522052,
            -0.0287817549,
            -0.0295113046,
            -0.0302408542,
            -0.0309704039,
            -0.0316999517,
            -0.0324295014,
            -0.0331590511,
            -0.0338886008,
            -0.0346181504,
            -0.0353477001,
            -0.0360772498,
            -0.0368067995,
            -0.0369733907,
            -0.0362438411,
            -0.0355142914,
            -0.0347847417,
            -0.034055192,
            -0.0333256423,
            -0.0325960927,
            -0.031866543,
            -0.0311369933,
            -0.0304074436,
            -0.029677894,
            -0.0289483443,
            -0.0282187946,
            -0.0274892449,
            -0.0267596953,
            -0.0260301456,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0255878214,
            -0.0263173711,
            -0.0270469207,
            -0.0277764704,
            -0.0285060201,
            -0.0292355679,
            -0.0299651176,
            -0.0306946672,
            -0.0314242169,
            -0.0321537666,
            -0.0328833163,
            -0.033612866,
            -0.0343424156,
            -0.0350719653,
            -0.035801515,
            -0.0365310647,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.037990164,
            -0.0394492634,
            -0.0409083627,
            -0.0423674621,
            -0.0438265614,
            -0.0452856608,
            -0.0467447601,
            -0.0482038595,
            -0.0496629551,
            -0.0511220545,
            -0.0525811538,
            -0.0540402532,
            -0.0554993525,
            -0.0569584519,
            -0.0584175512,
            -0.0598766506,
            -0.0611519292,
            -0.0621246584,
            -0.063097395,
            -0.0640701279,
            -0.0650428608,
            -0.0660155937,
            -0.0669883266,
            -0.0679610595,
            -0.0689337924,
            -0.0699065253,
            -0.0708792582,
            -0.0718519911,
            -0.0728247166,
            -0.0737974495,
            -0.0747701824,
            -0.0757429153,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0763480067,
            -0.0753752738,
            -0.0744025409,
            -0.073429808,
            -0.0724570751,
            -0.0714843422,
            -0.0705116093,
            -0.0695388764,
            -0.0685661435,
            -0.0675934106,
            -0.0666206777,
            -0.0656479448,
            -0.0646752119,
            -0.063702479,
            -0.0627297461,
            -0.0617570132
          ],
          [
            -0.0882352591,
            -0.0875057131,
            -0.0867761597,
            -0.0860466138,
            -0.0853170604,
            -0.0845875144,
            -0.083857961,
            -0.083128415,
            -0.0823988616,
            -0.0816693157,
            -0.0809397623,
            -0.0802102163,
            -0.0794806629,
            -0.078751117,
            -0.0780215636,
            -0.0772920176,
            -0.0765624642,
            -0.0756203681,
            -0.0746476352,
            -0.0736749023,
            -0.0727021694,
            -0.0717294365,
            -0.0707567036,
            -0.0697839707,
            -0.0688112378,
            -0.0678385049,
            -0.066865772,
            -0.0658930391,
            -0.0649203062,
            -0.0639475733,
            -0.0629748404,
            -0.0620021112,
            -0.0610293783,
            -0.0602385551,
            -0.0595090054,
            -0.0587794557,
            -0.058049906,
            -0.0573203564,
            -0.0565908067,
            -0.055861257,
            -0.0551317073,
            -0.0544021577,
            -0.053672608,
            -0.0529430583,
            -0.0522135086,
            -0.051483959,
            -0.0507544093,
            -0.0500248596,
            -0.0492953099,
            -0.0485657603,
            -0.0478362106,
            -0.0471066609,
            -0.0463771112,
            -0.0456475616,
            -0.0449180119,
            -0.0441884622,
            -0.0434589125,
            -0.0427293628,
            -0.0419998132,
            -0.0412702635,
            -0.0405407175,
            -0.0398111641,
            -0.0390816182,
            -0.0383520648,
            -0.0376225188,
            -0.0368929692,
            -0.0361634195,
            -0.0354338698,
            -0.0347043201,
            -0.0339747705,
            -0.0332452208,
            -0.0325156711,
            -0.0317861214,
            -0.0310565718,
            -0.0303270221,
            -0.0295974724,
            -0.0288679227,
            -0.028138373,
            -0.0274088234,
            -0.0266792737,
            -0.025949724,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0255763326,
            -0.0263058823,
            -0.0270354319,
            -0.0277649797,
            -0.0284945294,
            -0.0292240791,
            -0.0299536288,
            -0.0306831785,
            -0.0314127281,
            -0.0321422778,
            -0.0328718275,
            -0.0336013772,
            -0.0343309268,
            -0.0350604765,
            -0.0357900262,
            -0.0365195759,
            -0.0372491255,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0368987136,
            -0.0361691639,
            -0.0354396142,
            -0.0347100645,
            -0.0339805149,
            -0.0332509652,
            -0.0325214155,
            -0.0317918658,
            -0.0310623161,
            -0.0303327665,
            -0.0296032168,
            -0.0288736671,
            -0.0281441174,
            -0.0274145678,
            -0.0266850181,
            -0.0259554684,
            -0.0248735901,
            -0.0231713075,
            -0.0214690249,
            -0.0197667424,
            -0.0180644616,
            -0.0163621791,
            -0.0146598956,
            -0.012957613,
            -0.0112553313,
            -0.00955304876,
            -0.00785076618,
            -0.0061484836,
            -0.00444620103,
            -0.00274391845,
            -0.00104163587,
            0.000660644844,
            0.00230548298,
            0.00376458233,
            0.00522368122,
            0.00668278057,
            0.00814187992,
            0.00960097834,
            0.0110600777,
            0.012519177,
            0.0139782764,
            0.0154373758,
            0.0168964751,
            0.0183555745,
            0.0198146738,
            0.0212737732,
            0.0227328725,
            0.02419197,
            0.0256510694,
            0.0271101687,
            0.0285692681,
            0.0300283674,
            0.0314874649,
            0.0329465643,
            0.0344056636,
            0.035864763,
            0.0373238623,
            0.0387829617,
            0.040242061,
            0.0417011604,
            0.0431602597,
            0.0446193591,
            0.0460784584,
            0.0475375578,
            0.0489966571,
            0.0506951101,
            0.0523973927,
            0.0540996753,
            0.0558019578,
            0.0575042367,
            0.059206523,
            0.0609088019,
            0.0626110882,
            0.064313367,
            0.0660156533,
            0.0677179322,
            0.0694202185,
            0.0711224973,
            0.0728247762,
            0.0745270625,
            0.0762293488,
            0.0777229145,
            0.0791820139,
            0.0806411058,
            0.0821002126,
            0.0835593045,
            0.0850184113,
            0.0864775032,
            0.0879366025,
            0.0893957019,
            0.0908548012,
            0.0923139006,
            0.0937729999,
            0.0952320993,
            0.0966911986,
            0.098150298,
            0.0996093974,
            0.101068497,
            0.102527596,
            0.103986695,
            0.105445795,
            0.106904894,
            0.108363993,
            0.109823093,
            0.111282192,
            0.112741292,
            0.114200391,
            0.11565949,
            0.11711859,
            0.118577689,
            0.120036788,
            0.121495888,
            0.122954987,
            0.1241192,
            0.12509194,
            0.126064673,
            0.127037406,
            0.128010139,
            0.128982872,
            0.129955605,
            0.130928338,
            0.13190107,
            0.132873803,
            0.133846521,
            0.134819269,
            0.135791987,
            0.136764735,
            0.137737453,
            0.138710201,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139474213,
            0.140203759,
            0.140933305,
            0.141662866,
            0.142392412,
            0.143121958,
            0.143851504,
            0.14458105,
            0.145310611,
            0.146040156,
            0.146769702,
            0.147499248,
            0.148228809,
            0.148958355,
            0.149687901,
            0.150417447,
            0.151147008,
            0.151876554,
            0.152606115,
            0.153335661,
            0.154065222,
            0.154794767,
            0.155524328,
            0.156253874,
            0.156983435,
            0.157712981,
            0.158442542,
            0.159172088,
            0.159901649,
            0.160631195,
            0.161360756,
            0.162090302,
            0.162819862,
            0.163549408,
            0.164278954,
            0.1650085,
            0.165738046,
            0.166467592,
            0.167197138,
            0.167926684,
            0.16865623,
            0.169385761,
            0.170115322,
            0.170844853,
            0.171574414,
            0.172303945,
            0.173033506,
            0.173763037,
            0.174492598,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.175130233,
            0.175859779,
            0.176589325,
            0.177318871,
            0.178048432,
            0.178777978,
            0.179507524,
            0.18023707,
            0.180966631,
            0.181696177,
            0.182425722,
            0.183155268,
            0.183884829,
            0.184614375,
            0.185343921,
            0.186073467,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185837954,
            0.185108393,
            0.184378847,
            0.183649302,
            0.182919756,
            0.182190195,
            0.181460649,
            0.180731103,
            0.180001557,
            0.179271996,
            0.17854245,
            0.177812904,
            0.177083358,
            0.176353797,
            0.175624251,
            0.174894705,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174670666,
            0.175400212,
            0.176129773,
            0.176859319,
            0.177588865,
            0.178318411,
            0.179047972,
            0.179777518,
            0.180507064,
            0.18123661,
            0.181966171,
            0.182695717,
            0.183425263,
            0.184154809,
            0.184884369,
            0.185613915,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185659871,
            0.184930325,
            0.184200764,
            0.183471218,
            0.182741672,
            0.182012126,
            0.181282565,
            0.180553019,
            0.179823473,
            0.179093927,
            0.178364366,
            0.17763482,
            0.176905274,
            0.176175728,
            0.175446168,
            0.174716622,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.173809007,
            0.173079461,
            0.172349915,
            0.171620369,
            0.170890823,
            0.170161277,
            0.169431731,
            0.168702185,
            0.167972639,
            0.167243093,
            0.166513547,
            0.165784001,
            0.165054455,
            0.164324909,
            0.163595363,
            0.162865818,
            0.162136257,
            0.161406711,
            0.16067715,
            0.159947604,
            0.159218043,
            0.158488497,
            0.157758936,
            0.15702939,
            0.156299829,
            0.155570284,
            0.154840723,
            0.154111177,
            0.153381616,
            0.15265207,
            0.151922509,
            0.151192963,
            0.150463402,
            0.149733856,
            0.14900431,
            0.148274764,
            0.147545218,
            0.146815658,
            0.146086112,
            0.145356566,
            0.14462702,
            0.143897459,
            0.143167913,
            0.142438367,
            0.141708821,
            0.14097926,
            0.140249714,
            0.139520168,
            0.138648912,
            0.137676179,
            0.136703447,
            0.135730714,
            0.134757981,
            0.133785248,
            0.132812515,
            0.131839782,
            0.130867064,
            0.129894316,
            0.128921598,
            0.12794885,
            0.126976132,
            0.126003385,
            0.125030667,
            0.124057926,
            0.123196252,
            0.122466706,
            0.121737152,
            0.121007606,
            0.120278053,
            0.119548507,
            0.118818954,
            0.118089408,
            0.117359854,
            0.116630308,
            0.115900755,
            0.115171209,
            0.114441663,
            0.11371211,
            0.112982556,
            0.11225301,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111649841,
            0.110190742,
            0.108731642,
            0.107272543,
            0.105813444,
            0.104354344,
            0.102895245,
            0.101436146,
            0.0999770463,
            0.0985179469,
            0.0970588475,
            0.0955997482,
            0.0941406488,
            0.0926815495,
            0.0912224501,
            0.0897633508,
            0.0883042514,
            0.0859183744,
            0.0834865421,
            0.0810547099,
            0.0786228776,
            0.0761910453,
            0.0737592131,
            0.0713273883,
            0.0688955486,
            0.0664637238,
            0.0640318841,
            0.0616000593,
            0.059168227,
            0.056736391,
            0.0543045625,
            0.0518727303,
            0.049440898,
            0.0478132926,
            0.0463541932,
            0.0448950939,
            0.0434359945,
            0.0419768952,
            0.0405177958,
            0.0390586965,
            0.0375996009,
            0.0361405015,
            0.0346814021,
            0.0332223028,
            0.0317632034,
            0.0303041022,
            0.0288450029,
            0.0273859035,
            0.025926806,
            0.0249789655,
            0.0242494158,
            0.0235198662,
            0.0227903165,
            0.0220607668,
            0.0213312171,
            0.0206016675,
            0.0198721178,
            0.0191425681,
            0.0184130184,
            0.0176834688,
            0.0169539191,
            0.0162243694,
            0.0154948207,
            0.014765271,
            0.0140357213,
            0.0133061716,
            0.012576622,
            0.0118470723,
            0.0111175235,
            0.0103879739,
            0.00965842418,
            0.00892887451,
            0.00819932483,
            0.00746977516,
            0.00674022548,
            0.0060106758,
            0.00528112613,
            0.00455157645,
            0.00382202677,
            0.0030924771,
            0.00236292835,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00189188018,
            0.000919147395,
            -5.3585507e-5,
            -0.00102631818,
            -0.00199905084,
            -0.00297178375,
            -0.00394451665,
            -0.00491724908,
            -0.00588998199,
            -0.00686271489,
            -0.00783544779,
            -0.00880818069,
            -0.00978091359,
            -0.0107536465,
            -0.0117263785,
            -0.0126991114,
            -0.0136718452,
            -0.0144147975,
            -0.0151443472,
            -0.0158738978,
            -0.0166034475,
            -0.0173329972,
            -0.0180625468,
            -0.0187920947,
            -0.0195216443,
            -0.020251194,
            -0.0209807437,
            -0.0217102934,
            -0.022439843,
            -0.0231693927,
            -0.0238989424,
            -0.0246284921,
            -0.0253580417,
            -0.0248927381,
            -0.0241631884,
            -0.0234336387,
            -0.0227040891,
            -0.0219745394,
            -0.0212449897,
            -0.0205154419,
            -0.0197858922,
            -0.0190563425,
            -0.0183267929,
            -0.0175972432,
            -0.0168676935,
            -0.0161381438,
            -0.0154085932,
            -0.0146790445,
            -0.0139494948,
            -0.01305144,
            -0.0120787071,
            -0.0111059742,
            -0.0101332422,
            -0.00916050933,
            -0.00818777643,
            -0.00721504353,
            -0.00624231063,
            -0.00526957773,
            -0.00429684483,
            -0.00332411192,
            -0.00235137902,
            -0.00137864612,
            -0.00040591415,
            0.000566818751,
            0.00153955165,
            0.00237441692,
            0.00310396636,
            0.00383351604,
            0.00456306571,
            0.00529261539,
            0.00602216506,
            0.00675171427,
            0.00748126395,
            0.00821081363,
            0.0089403633,
            0.00966991298,
            0.0103994627,
            0.0111290123,
            0.011858562,
            0.0125881108,
            0.0133176604,
            0.014368901,
            0.0158280004,
            0.0172870997,
            0.0187461991,
            0.0202052984,
            0.0216643978,
            0.0231234953,
            0.0245825946,
            0.026041694,
            0.0275007933,
            0.0289598927,
            0.030418992,
            0.0318780914,
            0.0333371907,
            0.0347962901,
            0.0362553895,
            0.0377144888,
            0.0391735882,
            0.0406326875,
            0.0420917869,
            0.0435508862,
            0.0450099856,
            0.0464690849,
            0.0479281843,
            0.0493872836,
            0.050846383,
            0.0523054823,
            0.0537645817,
            0.055223681,
            0.0566827804,
            0.058141876,
            0.0596009754,
            0.0609681644,
            0.0619408973,
            0.0629136264,
            0.0638863593,
            0.0648590922,
            0.0658318251,
            0.066804558,
            0.0677772909,
            0.0687500238,
            0.0697227567,
            0.0706954896,
            0.0716682225,
            0.0726409554,
            0.0736136883,
            0.0745864213,
            0.0755591542,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0756817013,
            0.0747089684,
            0.0737362355,
            0.0727635026,
            0.0717907697,
            0.0708180368,
            0.0698453039,
            0.068872571,
            0.0678998381,
            0.0669271052,
            0.0659543723,
            0.0649816394,
            0.0640089139,
            0.063036181,
            0.0620634444,
            0.0610907115,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0613281503,
            0.0623008832,
            0.0632736161,
            0.064246349,
            0.0652190819,
            0.0661918148,
            0.0671645477,
            0.0681372806,
            0.0691100135,
            0.0700827464,
            0.0710554793,
            0.0720282122,
            0.0730009452,
            0.0739736781,
            0.074946411,
            0.0759191439,
            0.0767865628,
            0.0775161088,
            0.0782456622,
            0.0789752081,
            0.0797047615,
            0.0804343075,
            0.0811638609,
            0.0818934068,
            0.0826229602,
            0.0833525062,
            0.0840820521,
            0.0848116055,
            0.0855411589,
            0.0862707049,
            0.0870002508,
            0.0877298042,
            0.0886833891,
            0.0901424885,
            0.0916015878,
            0.0930606872,
            0.0945197865,
            0.0959788859,
            0.0974379852,
            0.0988970846,
            0.100356184,
            0.101815283,
            0.103274383,
            0.104733482,
            0.106192581,
            0.107651681,
            0.109110773,
            0.110569879,
            0.112073019,
            0.113775298,
            0.115477584,
            0.117179863,
            0.118882149,
            0.120584428,
            0.122286707,
            0.123988993,
            0.12569128,
            0.127393559,
            0.129095837,
            0.130798116,
            0.13250041,
            0.134202689,
            0.135904968,
            0.137607247,
            0.139296129,
            0.140755236,
            0.142214343,
            0.143673435,
            0.145132542,
            0.146591648,
            0.148050755,
            0.149509847,
            0.150968954,
            0.152428061,
            0.153887153,
            0.155346259,
            0.156805366,
            0.158264473,
            0.159723565,
            0.161182672,
            0.162641779,
            0.163423017,
            0.164152563,
            0.164882109,
            0.165611655,
            0.1663412,
            0.167070746,
            0.167800292,
            0.168529838,
            0.169259384,
            0.16998893,
            0.170718476,
            0.171448022,
            0.172177568,
            0.172907114,
            0.17363666,
            0.174366206,
            0.175095767,
            0.175825313,
            0.176554859,
            0.177284405,
            0.178013965,
            0.178743511,
            0.179473057,
            0.180202603,
            0.180932164,
            0.18166171,
            0.182391256,
            0.183120802,
            0.183850348,
            0.184579909,
            0.185309455,
            0.186039001,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186810687,
            0.18778342,
            0.188756153,
            0.189728886,
            0.190701634,
            0.191674367,
            0.192647099,
            0.193619832,
            0.19459258,
            0.195565313,
            0.196538046,
            0.197510779,
            0.198483527,
            0.19945626,
            0.200428993,
            0.201401725,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201669812,
            0.200697064,
            0.199724331,
            0.198751599,
            0.197778866,
            0.196806118,
            0.195833385,
            0.194860652,
            0.193887919,
            0.192915171,
            0.191942438,
            0.190969706,
            0.189996973,
            0.18902424,
            0.188051492,
            0.187078759,
            0.186148152,
            0.185418606,
            0.184689045,
            0.183959499,
            0.183229953,
            0.182500407,
            0.181770846,
            0.1810413,
            0.180311754,
            0.179582208,
            0.178852648,
            0.178123102,
            0.177393556,
            0.17666401,
            0.175934449,
            0.175204903,
            0.174475357,
            0.173745811,
            0.173016265,
            0.172286719,
            0.171557173,
            0.170827627,
            0.170098081,
            0.169368535,
            0.168638989,
            0.167909443,
            0.167179897,
            0.166450351,
            0.165720806,
            0.16499126,
            0.164261714,
            0.163532168,
            0.162802622,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162532628,
            0.161803082,
            0.161073521,
            0.160343975,
            0.159614414,
            0.158884868,
            0.158155307,
            0.157425761,
            0.1566962,
            0.155966654,
            0.155237094,
            0.154507548,
            0.153777987,
            0.153048441,
            0.15231888,
            0.151589334,
            0.15069893,
            0.148996651,
            0.147294372,
            0.145592093,
            0.1438898,
            0.142187521,
            0.140485242,
            0.138782963,
            0.137080669,
            0.135378391,
            0.133676112,
            0.131973833,
            0.130271539,
            0.12856926,
            0.126866981,
            0.125164703,
            0.123500712,
            0.122771159,
            0.122041613,
            0.121312059,
            0.120582514,
            0.11985296,
            0.119123414,
            0.118393868,
            0.117664315,
            0.116934769,
            0.116205215,
            0.11547567,
            0.114746116,
            0.11401657,
            0.113287017,
            0.112557471,
            0.111827917,
            0.111098371,
            0.110368818,
            0.109639272,
            0.108909719,
            0.108180173,
            0.107450619,
            0.106721073,
            0.10599152,
            0.105261974,
            0.104532421,
            0.103802875,
            0.103073321,
            0.102343775,
            0.101614222,
            0.100884676,
            0.100155123,
            0.0994255766,
            0.0986960232,
            0.0979664773,
            0.0972369239,
            0.0965073779,
            0.0957778245,
            0.0950482786,
            0.0943187252,
            0.0935891792,
            0.0928596258,
            0.0921300799,
            0.0914005339,
            0.0906709805,
            0.0899414271,
            0.0892118812,
            0.0884823352,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0878446922,
            0.0871151462,
            0.0863855928,
            0.0856560469,
            0.0849264935,
            0.0841969475,
            0.0834673941,
            0.0827378482,
            0.0820082948,
            0.0812787488,
            0.0805491954,
            0.0798196495,
            0.0790900961,
            0.0783605501,
            0.0776309967,
            0.0769014508,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0761948749,
            0.075222142,
            0.0742494091,
            0.0732766837,
            0.0723039508,
            0.0713312179,
            0.070358485,
            0.0693857521,
            0.0684130192,
            0.0674402863,
            0.0664675534,
            0.0654948205,
            0.0645220876,
            0.0635493547,
            0.0625766218,
            0.0616038851,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0611749664,
            0.0621476993,
            0.0631204322,
            0.0640931651,
            0.065065898,
            0.0660386309,
            0.0670113638,
            0.0679840967,
            0.0689568296,
            0.0699295625,
            0.0709022954,
            0.0718750283,
            0.0728477612,
            0.0738204941,
            0.074793227,
            0.0757659525,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764476359,
            0.075474903,
            0.0745021701,
            0.0735294372,
            0.0725567043,
            0.0715839714,
            0.0706112385,
            0.0696385056,
            0.0686657727,
            0.0676930398,
            0.0667203069,
            0.065747574,
            0.0647748411,
            0.0638021082,
            0.0628293753,
            0.0618566424,
            0.0608839095,
            0.0594745986,
            0.0580154993,
            0.0565563999,
            0.0550973006,
            0.0536382012,
            0.0521791019,
            0.0507200025,
            0.0492609031,
            0.0478018038,
            0.0463427044,
            0.0448836051,
            0.0434245057,
            0.0419654064,
            0.0405063108,
            0.0390472114,
            0.0375881121,
            0.0366919711,
            0.0359624214,
            0.0352328718,
            0.0345033221,
            0.0337737724,
            0.0330442227,
            0.0323146731,
            0.0315851234,
            0.0308555737,
            0.030126024,
            0.0293964744,
            0.0286669247,
            0.027937375,
            0.0272078253,
            0.0264782757,
            0.025748726,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0251110885,
            0.0243815389,
            0.0236519892,
            0.0229224395,
            0.0221928898,
            0.0214633401,
            0.0207337905,
            0.0200042408,
            0.0192746911,
            0.0185451414,
            0.0178155936,
            0.017086044,
            0.0163564943,
            0.0156269446,
            0.014897394,
            0.0141678443,
            0.0134382946,
            0.012708745,
            0.0119791962,
            0.0112496465,
            0.0105200969,
            0.00979054719,
            0.00906099752,
            0.00833144784,
            0.00760189816,
            0.00687234849,
            0.00614279881,
            0.00541324914,
            0.00468369946,
            0.00395415071,
            0.00322460104,
            0.00249505136,
            0.00215612655,
            0.00288567599,
            0.00361522567,
            0.00434477534,
            0.00507432502,
            0.00580387469,
            0.0065334239,
            0.00726297358,
            0.00799252279,
            0.00872207247,
            0.00945162214,
            0.0101811718,
            0.0109107215,
            0.0116402712,
            0.0123698208,
            0.0130993705,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137140304,
            0.0129844807,
            0.012254931,
            0.0115253814,
            0.0107958317,
            0.010066282,
            0.00933673233,
            0.00860718265,
            0.00787763298,
            0.00714808377,
            0.00641853455,
            0.00568898488,
            0.0049594352,
            0.00422988553,
            0.00350033585,
            0.00277078617,
            0.0020412365,
            0.000446184771,
            -0.00125609757,
            -0.00295838015,
            -0.00466066226,
            -0.00636294484,
            -0.00806522742,
            -0.00976750907,
            -0.0114697916,
            -0.0131720742,
            -0.0148743559,
            -0.0165766384,
            -0.018278921,
            -0.0199812036,
            -0.0216834862,
            -0.0233857688,
            -0.0250880513,
            -0.0260473806,
            -0.0267769285,
            -0.0275064781,
            -0.0282360278,
            -0.0289655775,
            -0.0296951272,
            -0.0304246768,
            -0.0311542265,
            -0.0318837762,
            -0.0326133259,
            -0.0333428755,
            -0.0340724252,
            -0.0348019749,
            -0.0355315246,
            -0.0362610742,
            -0.0369906239,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0376282632,
            -0.0383578092,
            -0.0390873589,
            -0.0398169085,
            -0.0405464582,
            -0.0412760079,
            -0.0420055576,
            -0.0427351072,
            -0.0434646569,
            -0.0441942066,
            -0.0449237563,
            -0.0456533059,
            -0.0463828556,
            -0.0471124053,
            -0.047841955,
            -0.0485715047,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490253195,
            -0.0497548692,
            -0.0504844189,
            -0.0512139685,
            -0.0519435182,
            -0.0526730679,
            -0.0534026176,
            -0.0541321672,
            -0.0548617169,
            -0.0555912666,
            -0.0563208163,
            -0.057050366,
            -0.0577799156,
            -0.0585094653,
            -0.059239015,
            -0.0599685647,
            -0.0606981143,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0602328107,
            -0.059503261,
            -0.0587737113,
            -0.0580441616,
            -0.057314612,
            -0.0565850623,
            -0.0558555126,
            -0.0551259629,
            -0.0543964133,
            -0.0536668636,
            -0.0529373139,
            -0.0522077642,
            -0.0514782146,
            -0.0507486649,
            -0.0500191152,
            -0.0492895655,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.049387224,
            -0.05011677,
            -0.0508463196,
            -0.0515758693,
            -0.052305419,
            -0.0530349687,
            -0.0537645184,
            -0.054494068,
            -0.0552236177,
            -0.0559531674,
            -0.0566827171,
            -0.0574122667,
            -0.0581418164,
            -0.0588713661,
            -0.0596009158,
            -0.0603304654,
            -0.061427664,
            -0.0631299466,
            -0.0648322254,
            -0.0665345117,
            -0.0682367906,
            -0.0699390769,
            -0.0716413558,
            -0.0733436421,
            -0.0750459209,
            -0.0767482072,
            -0.0784504861,
            -0.0801527649,
            -0.0818550512,
            -0.0835573375,
            -0.0852596164,
            -0.0869618952,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591
          ],
          [
            -0.0999999642,
            -0.0992704183,
            -0.0985408649,
            -0.0978113189,
            -0.0970817655,
            -0.0963522196,
            -0.0956226662,
            -0.0948931202,
            -0.0941635668,
            -0.0934340209,
            -0.0927044675,
            -0.0919749215,
            -0.0912453681,
            -0.0905158222,
            -0.0897862688,
            -0.0890567228,
            -0.0883271694,
            -0.0875976235,
            -0.0868680701,
            -0.0861385241,
            -0.0854089707,
            -0.0846794248,
            -0.0839498714,
            -0.0832203254,
            -0.082490772,
            -0.0817612261,
            -0.0810316727,
            -0.0803021267,
            -0.0795725733,
            -0.0788430274,
            -0.078113474,
            -0.077383928,
            -0.0766543746,
            -0.0757429227,
            -0.0747701898,
            -0.0737974569,
            -0.072824724,
            -0.0718519911,
            -0.0708792582,
            -0.0699065253,
            -0.0689337924,
            -0.0679610595,
            -0.0669883266,
            -0.0660155937,
            -0.0650428608,
            -0.0640701279,
            -0.063097395,
            -0.0621246621,
            -0.0611519292,
            -0.0603304654,
            -0.0596009158,
            -0.0588713661,
            -0.0581418164,
            -0.0574122667,
            -0.0566827171,
            -0.0559531674,
            -0.0552236177,
            -0.054494068,
            -0.0537645184,
            -0.0530349687,
            -0.0523054227,
            -0.0515758693,
            -0.0508463234,
            -0.05011677,
            -0.049387224,
            -0.0486576743,
            -0.0479281247,
            -0.047198575,
            -0.0464690253,
            -0.0457394756,
            -0.045009926,
            -0.0442803763,
            -0.0435508266,
            -0.0428212769,
            -0.0420917273,
            -0.0413621776,
            -0.0406326279,
            -0.0399030782,
            -0.0391735286,
            -0.0384439789,
            -0.0377144292,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0373410359,
            -0.0380705856,
            -0.0388001353,
            -0.0395296849,
            -0.0402592346,
            -0.0409887843,
            -0.041718334,
            -0.0424478836,
            -0.0431774333,
            -0.043906983,
            -0.0446365327,
            -0.0453660823,
            -0.046095632,
            -0.0468251817,
            -0.0475547314,
            -0.048284281,
            -0.0490138307,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0486634187,
            -0.0479338691,
            -0.0472043194,
            -0.0464747697,
            -0.04574522,
            -0.0450156704,
            -0.0442861207,
            -0.043556571,
            -0.0428270213,
            -0.0420974717,
            -0.041367922,
            -0.0406383723,
            -0.0399088226,
            -0.0391792729,
            -0.0384497233,
            -0.0377201736,
            -0.0367263779,
            -0.0352672786,
            -0.0338081792,
            -0.0323490798,
            -0.0308899805,
            -0.0294308811,
            -0.0279717818,
            -0.0265126824,
            -0.0250535831,
            -0.0235944837,
            -0.0221353844,
            -0.0206762869,
            -0.0192171875,
            -0.0177580882,
            -0.0162989888,
            -0.0148398895,
            -0.0133233452,
            -0.0116210636,
            -0.009918781,
            -0.00821649842,
            -0.00651421631,
            -0.0048119342,
            -0.00310965162,
            -0.00140736904,
            0.000294913538,
            0.00199719518,
            0.00369947776,
            0.00540176034,
            0.00710404292,
            0.0088063255,
            0.0105086081,
            0.0122108907,
            0.0138863651,
            0.0153454635,
            0.0168045629,
            0.0182636622,
            0.0197227616,
            0.0211818609,
            0.0226409603,
            0.0241000578,
            0.0255591571,
            0.0270182565,
            0.0284773558,
            0.0299364552,
            0.0313955545,
            0.0328546539,
            0.0343137532,
            0.0357728526,
            0.037231952,
            0.0396484658,
            0.0420802981,
            0.0445121303,
            0.0469439626,
            0.0493757948,
            0.0518076271,
            0.0542394593,
            0.0566712879,
            0.0591031201,
            0.0615349524,
            0.0639667809,
            0.0663986206,
            0.0688304454,
            0.0712622851,
            0.0736941099,
            0.0761259496,
            0.0777229145,
            0.0791820139,
            0.0806411058,
            0.0821002126,
            0.0835593045,
            0.0850184113,
            0.0864775032,
            0.0879366025,
            0.0893957019,
            0.0908548012,
            0.0923139006,
            0.0937729999,
            0.0952320993,
            0.0966911986,
            0.098150298,
            0.0996093974,
            0.10053426,
            0.101263814,
            0.10199336,
            0.102722913,
            0.103452459,
            0.104182005,
            0.104911558,
            0.105641112,
            0.106370658,
            0.107100204,
            0.107829757,
            0.10855931,
            0.109288856,
            0.110018402,
            0.110747956,
            0.111477502,
            0.112207055,
            0.112936601,
            0.113666154,
            0.1143957,
            0.115125254,
            0.1158548,
            0.116584353,
            0.117313899,
            0.118043453,
            0.118772998,
            0.119502552,
            0.120232098,
            0.120961651,
            0.121691197,
            0.122420751,
            0.123150297,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123751551,
            0.124724284,
            0.125697017,
            0.12666975,
            0.127642483,
            0.128615215,
            0.129587948,
            0.130560681,
            0.131533414,
            0.132506147,
            0.13347888,
            0.134451613,
            0.135424346,
            0.136397079,
            0.137369812,
            0.138342544,
            0.139290392,
            0.140019938,
            0.140749484,
            0.14147903,
            0.142208591,
            0.142938137,
            0.143667683,
            0.144397229,
            0.14512679,
            0.145856336,
            0.146585882,
            0.147315428,
            0.148044974,
            0.148774534,
            0.14950408,
            0.150233626,
            0.150963187,
            0.152405038,
            0.153864145,
            0.155323237,
            0.156782344,
            0.158241436,
            0.159700543,
            0.161159635,
            0.162618741,
            0.164077833,
            0.16553694,
            0.166996032,
            0.168455139,
            0.169914231,
            0.171373338,
            0.172832429,
            0.174291536,
            0.175130233,
            0.175859779,
            0.176589325,
            0.177318871,
            0.178048432,
            0.178777978,
            0.179507524,
            0.18023707,
            0.180966631,
            0.181696177,
            0.182425722,
            0.183155268,
            0.183884829,
            0.184614375,
            0.185343921,
            0.186073467,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186611533,
            0.187584281,
            0.188557014,
            0.189529747,
            0.19050248,
            0.191475227,
            0.19244796,
            0.193420693,
            0.194393426,
            0.195366174,
            0.196338907,
            0.19731164,
            0.198284373,
            0.19925712,
            0.200229853,
            0.201202586,
            0.202121705,
            0.202851251,
            0.203580797,
            0.204310343,
            0.205039889,
            0.205769435,
            0.206498981,
            0.207228526,
            0.207958072,
            0.208687618,
            0.209417164,
            0.21014671,
            0.210876256,
            0.211605802,
            0.212335348,
            0.213064894,
            0.213656574,
            0.212927029,
            0.212197483,
            0.211467937,
            0.210738391,
            0.210008845,
            0.209279299,
            0.208549753,
            0.207820207,
            0.207090661,
            0.206361115,
            0.205631569,
            0.204902023,
            0.204172477,
            0.203442931,
            0.202713385,
            0.201983839,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.200526655,
            0.198824361,
            0.197122082,
            0.195419788,
            0.19371751,
            0.192015216,
            0.190312937,
            0.188610643,
            0.186908364,
            0.185206085,
            0.183503792,
            0.181801498,
            0.180099219,
            0.17839694,
            0.176694646,
            0.174992353,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174446627,
            0.173717082,
            0.172987536,
            0.17225799,
            0.171528444,
            0.170798898,
            0.170069352,
            0.169339806,
            0.168610275,
            0.167880714,
            0.167151183,
            0.166421622,
            0.165692091,
            0.16496253,
            0.164232999,
            0.163503438,
            0.162773907,
            0.162044346,
            0.1613148,
            0.16058524,
            0.159855694,
            0.159126133,
            0.158396587,
            0.157667026,
            0.15693748,
            0.156207919,
            0.155478373,
            0.154748812,
            0.154019266,
            0.153289706,
            0.15256016,
            0.151830599,
            0.151101053,
            0.150371492,
            0.149641946,
            0.1489124,
            0.148182854,
            0.147453293,
            0.146723747,
            0.145994201,
            0.145264655,
            0.144535094,
            0.143805549,
            0.143076003,
            0.142346457,
            0.141616896,
            0.14088735,
            0.140157804,
            0.139428258,
            0.138526365,
            0.137553632,
            0.136580899,
            0.135608166,
            0.134635434,
            0.133662701,
            0.132689968,
            0.131717235,
            0.130744502,
            0.129771769,
            0.128799036,
            0.127826303,
            0.12685357,
            0.125880837,
            0.124908112,
            0.123935379,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.12328817,
            0.122558616,
            0.12182907,
            0.121099517,
            0.120369971,
            0.119640417,
            0.118910871,
            0.118181318,
            0.117451772,
            0.116722219,
            0.115992673,
            0.115263119,
            0.114533573,
            0.11380402,
            0.113074474,
            0.112344921,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111649841,
            0.110190742,
            0.108731642,
            0.107272543,
            0.105813444,
            0.104354344,
            0.102895245,
            0.101436146,
            0.0999770463,
            0.0985179469,
            0.0970588475,
            0.0955997482,
            0.0941406488,
            0.0926815495,
            0.0912224501,
            0.0897633508,
            0.0883042514,
            0.0859183744,
            0.0834865421,
            0.0810547099,
            0.0786228776,
            0.0761910453,
            0.0737592131,
            0.0713273883,
            0.0688955486,
            0.0664637238,
            0.0640318841,
            0.0616000593,
            0.059168227,
            0.056736391,
            0.0543045625,
            0.0518727303,
            0.049440898,
            0.0478132926,
            0.0463541932,
            0.0448950939,
            0.0434359945,
            0.0419768952,
            0.0405177958,
            0.0390586965,
            0.0375996009,
            0.0361405015,
            0.0346814021,
            0.0332223028,
            0.0317632034,
            0.0303041022,
            0.0288450029,
            0.0273859035,
            0.025926806,
            0.0249789655,
            0.0242494158,
            0.0235198662,
            0.0227903165,
            0.0220607668,
            0.0213312171,
            0.0206016675,
            0.0198721178,
            0.0191425681,
            0.0184130184,
            0.0176834688,
            0.0169539191,
            0.0162243694,
            0.0154948207,
            0.014765271,
            0.0140357213,
            0.0133061716,
            0.012576622,
            0.0118470723,
            0.0111175235,
            0.0103879739,
            0.00965842418,
            0.00892887451,
            0.00819932483,
            0.00746977516,
            0.00674022548,
            0.0060106758,
            0.00528112613,
            0.00455157645,
            0.00382202677,
            0.0030924771,
            0.00236292835,
            0.00228824955,
            0.00301779923,
            0.00374734867,
            0.00447689835,
            0.00520644803,
            0.0059359977,
            0.00666554738,
            0.00739509659,
            0.0081246458,
            0.00885419548,
            0.00958374515,
            0.0103132948,
            0.0110428445,
            0.0117723942,
            0.0125019439,
            0.0132314935,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0136738187,
            0.012944269,
            0.0122147193,
            0.0114851706,
            0.0107556209,
            0.0100260712,
            0.00929652154,
            0.00856697187,
            0.00783742219,
            0.00710787252,
            0.00637832284,
            0.00564877316,
            0.00491922349,
            0.00418967381,
            0.00346012414,
            0.00273057539,
            0.00200102571,
            0.00104169641,
            6.89636217e-5,
            -0.000903769163,
            -0.00187650183,
            -0.00284923473,
            -0.00382196764,
            -0.00479470007,
            -0.00576743297,
            -0.00674016587,
            -0.00771289878,
            -0.00868563168,
            -0.00965836458,
            -0.0106310975,
            -0.0116038295,
            -0.0125765624,
            -0.0135492953,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.01305144,
            -0.0120787071,
            -0.0111059742,
            -0.0101332422,
            -0.00916050933,
            -0.00818777643,
            -0.00721504353,
            -0.00624231063,
            -0.00526957773,
            -0.00429684483,
            -0.00332411192,
            -0.00235137902,
            -0.00137864612,
            -0.00040591415,
            0.000566818751,
            0.00153955165,
            0.00237441692,
            0.00310396636,
            0.00383351604,
            0.00456306571,
            0.00529261539,
            0.00602216506,
            0.00675171427,
            0.00748126395,
            0.00821081363,
            0.0089403633,
            0.00966991298,
            0.0103994627,
            0.0111290123,
            0.011858562,
            0.0125881108,
            0.0133176604,
            0.0140472101,
            0.0147767598,
            0.0155063095,
            0.0162358582,
            0.0169654079,
            0.0176949576,
            0.0184245072,
            0.0191540569,
            0.0198836066,
            0.0206131563,
            0.0213427059,
            0.0220722556,
            0.0228018053,
            0.023531355,
            0.0242609046,
            0.0249904543,
            0.0261795633,
            0.0283682123,
            0.0305568594,
            0.0327455103,
            0.0349341556,
            0.0371228084,
            0.0393114537,
            0.0415001065,
            0.0436887518,
            0.0458774008,
            0.0480660498,
            0.0502546988,
            0.0524433479,
            0.0546319969,
            0.0568206459,
            0.059009295,
            0.0611060299,
            0.0628083125,
            0.0645105988,
            0.0662128776,
            0.0679151639,
            0.0696174428,
            0.0713197291,
            0.0730220079,
            0.0747242868,
            0.0764265731,
            0.0781288594,
            0.0798311383,
            0.0815334171,
            0.0832357034,
            0.0849379823,
            0.0866402686,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0876436383,
            0.0869140849,
            0.0861845389,
            0.0854549855,
            0.0847254395,
            0.0839958861,
            0.0832663402,
            0.0825367868,
            0.0818072408,
            0.0810776874,
            0.0803481415,
            0.0796185881,
            0.0788890421,
            0.0781594962,
            0.0774299428,
            0.0767003894,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0768784732,
            0.0776080191,
            0.0783375725,
            0.0790671185,
            0.0797966719,
            0.0805262178,
            0.0812557712,
            0.0819853172,
            0.0827148706,
            0.0834444165,
            0.0841739699,
            0.0849035159,
            0.0856330693,
            0.0863626152,
            0.0870921686,
            0.0878217146,
            0.0888672099,
            0.0903263092,
            0.0917854086,
            0.0932445079,
            0.0947036073,
            0.0961627066,
            0.097621806,
            0.0990809053,
            0.100540005,
            0.101999104,
            0.103458203,
            0.104917303,
            0.106376402,
            0.107835501,
            0.109294601,
            0.1107537,
            0.112287477,
            0.113989763,
            0.115692042,
            0.117394328,
            0.119096607,
            0.120798886,
            0.122501172,
            0.124203451,
            0.125905737,
            0.127608016,
            0.129310295,
            0.131012589,
            0.132714868,
            0.134417146,
            0.136119425,
            0.137821719,
            0.139347836,
            0.140077382,
            0.140806928,
            0.141536474,
            0.142266035,
            0.142995581,
            0.143725127,
            0.144454673,
            0.145184234,
            0.14591378,
            0.146643326,
            0.147372872,
            0.148102432,
            0.148831978,
            0.149561524,
            0.15029107,
            0.151060835,
            0.152519941,
            0.153979033,
            0.15543814,
            0.156897232,
            0.158356339,
            0.159815431,
            0.161274523,
            0.162733629,
            0.164192736,
            0.165651828,
            0.16711092,
            0.168570027,
            0.170029119,
            0.171488225,
            0.172947317,
            0.174406424,
            0.175187677,
            0.175917223,
            0.176646769,
            0.177376315,
            0.178105876,
            0.178835422,
            0.179564968,
            0.180294514,
            0.181024075,
            0.181753621,
            0.182483166,
            0.183212712,
            0.183942273,
            0.184671819,
            0.185401365,
            0.186130911,
            0.187055781,
            0.188028514,
            0.189001247,
            0.189973995,
            0.190946728,
            0.191919461,
            0.192892194,
            0.193864942,
            0.194837674,
            0.195810407,
            0.19678314,
            0.197755888,
            0.198728621,
            0.199701354,
            0.200674087,
            0.201646835,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.20236297,
            0.203092515,
            0.203822061,
            0.204551607,
            0.205281153,
            0.206010699,
            0.206740245,
            0.207469791,
            0.208199337,
            0.208928883,
            0.209658429,
            0.210387975,
            0.211117521,
            0.211847067,
            0.212576613,
            0.213306159,
            0.21341531,
            0.212685764,
            0.211956218,
            0.211226672,
            0.210497126,
            0.20976758,
            0.209038034,
            0.208308488,
            0.207578942,
            0.206849396,
            0.20611985,
            0.205390304,
            0.204660758,
            0.203931212,
            0.203201666,
            0.202472121,
            0.201669812,
            0.200697064,
            0.199724331,
            0.198751599,
            0.197778866,
            0.196806118,
            0.195833385,
            0.194860652,
            0.193887919,
            0.192915171,
            0.191942438,
            0.190969706,
            0.189996973,
            0.18902424,
            0.188051492,
            0.187078759,
            0.186148152,
            0.185418606,
            0.184689045,
            0.183959499,
            0.183229953,
            0.182500407,
            0.181770846,
            0.1810413,
            0.180311754,
            0.179582208,
            0.178852648,
            0.178123102,
            0.177393556,
            0.17666401,
            0.175934449,
            0.175204903,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174297273,
            0.173567727,
            0.172838181,
            0.172108635,
            0.171379089,
            0.170649543,
            0.169919997,
            0.169190452,
            0.168460906,
            0.16773136,
            0.167001814,
            0.166272268,
            0.165542722,
            0.164813176,
            0.16408363,
            0.163354084,
            0.162503913,
            0.161044806,
            0.159585699,
            0.158126593,
            0.156667501,
            0.155208394,
            0.153749287,
            0.152290195,
            0.150831088,
            0.149371982,
            0.147912875,
            0.146453783,
            0.144994676,
            0.143535569,
            0.142076463,
            0.140617371,
            0.139177412,
            0.138204679,
            0.137231946,
            0.136259213,
            0.13528648,
            0.134313747,
            0.133341014,
            0.132368281,
            0.131395549,
            0.130422816,
            0.129450083,
            0.12847735,
            0.127504617,
            0.126531884,
            0.125559151,
            0.124586418,
            0.123613685,
            0.122863077,
            0.122133523,
            0.121403977,
            0.120674424,
            0.119944878,
            0.119215325,
            0.118485779,
            0.117756225,
            0.117026679,
            0.116297126,
            0.11556758,
            0.114838026,
            0.114108481,
            0.113378927,
            0.112649381,
            0.111919828,
            0.110615835,
            0.109156735,
            0.107697636,
            0.106238537,
            0.104779437,
            0.103320338,
            0.101861238,
            0.100402139,
            0.0989430398,
            0.0974839404,
            0.0960248411,
            0.0945657417,
            0.0931066424,
            0.091647543,
            0.0901884437,
            0.0887293443,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0878446922,
            0.0871151462,
            0.0863855928,
            0.0856560469,
            0.0849264935,
            0.0841969475,
            0.0834673941,
            0.0827378482,
            0.0820082948,
            0.0812787488,
            0.0805491954,
            0.0798196495,
            0.0790900961,
            0.0783605501,
            0.0776309967,
            0.0769014508,
            0.0760723278,
            0.0750995949,
            0.074126862,
            0.0731541291,
            0.0721813962,
            0.0712086633,
            0.0702359304,
            0.0692631975,
            0.0682904646,
            0.0673177317,
            0.0663449988,
            0.0653722659,
            0.064399533,
            0.0634268001,
            0.0624540709,
            0.061481338,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0615426116,
            0.0625153482,
            0.0634880811,
            0.064460814,
            0.0654335469,
            0.0664062798,
            0.0673790053,
            0.0683517382,
            0.0693244711,
            0.070297204,
            0.0712699369,
            0.0722426698,
            0.0732154027,
            0.0741881356,
            0.0751608685,
            0.0761336014,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0759574398,
            0.0749847069,
            0.074011974,
            0.0730392411,
            0.0720665082,
            0.0710937753,
            0.0701210424,
            0.0691483095,
            0.0681755766,
            0.0672028437,
            0.0662301108,
            0.0652573779,
            0.064284645,
            0.0633119121,
            0.0623391792,
            0.0613664463,
            0.0611749664,
            0.0621476993,
            0.0631204322,
            0.0640931651,
            0.065065898,
            0.0660386309,
            0.0670113638,
            0.0679840967,
            0.0689568296,
            0.0699295625,
            0.0709022954,
            0.0718750283,
            0.0728477612,
            0.0738204941,
            0.074793227,
            0.0757659525,
            0.0766716674,
            0.0774012208,
            0.0781307667,
            0.0788603202,
            0.0795898661,
            0.0803194195,
            0.0810489655,
            0.0817785189,
            0.0825080648,
            0.0832376182,
            0.0839671642,
            0.0846967176,
            0.0854262635,
            0.0861558169,
            0.0868853629,
            0.0876149163,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0881951079,
            0.0864928216,
            0.0847905427,
            0.0830882639,
            0.0813859776,
            0.0796836913,
            0.0779814124,
            0.0762791336,
            0.0745768473,
            0.0728745684,
            0.0711722821,
            0.0694700032,
            0.0677677169,
            0.0660654381,
            0.0643631518,
            0.0626608729,
            0.0609585866,
            0.0594745986,
            0.0580154993,
            0.0565563999,
            0.0550973006,
            0.0536382012,
            0.0521791019,
            0.0507200025,
            0.0492609031,
            0.0478018038,
            0.0463427044,
            0.0448836051,
            0.0434245057,
            0.0419654064,
            0.0405063108,
            0.0390472114,
            0.0375881121,
            0.0366919711,
            0.0359624214,
            0.0352328718,
            0.0345033221,
            0.0337737724,
            0.0330442227,
            0.0323146731,
            0.0315851234,
            0.0308555737,
            0.030126024,
            0.0293964744,
            0.0286669247,
            0.027937375,
            0.0272078253,
            0.0264782757,
            0.025748726,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0251110885,
            0.0243815389,
            0.0236519892,
            0.0229224395,
            0.0221928898,
            0.0214633401,
            0.0207337905,
            0.0200042408,
            0.0192746911,
            0.0185451414,
            0.0178155936,
            0.017086044,
            0.0163564943,
            0.0156269446,
            0.014897394,
            0.0141678443,
            0.0134382946,
            0.012708745,
            0.0119791962,
            0.0112496465,
            0.0105200969,
            0.00979054719,
            0.00906099752,
            0.00833144784,
            0.00760189816,
            0.00687234849,
            0.00614279881,
            0.00541324914,
            0.00468369946,
            0.00395415071,
            0.00322460104,
            0.00249505136,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00182294636,
            0.000850213575,
            -0.00012251921,
            -0.00109525211,
            -0.00206798501,
            -0.00304071745,
            -0.00401345035,
            -0.00498618325,
            -0.00595891569,
            -0.00693164859,
            -0.00790438149,
            -0.00887711439,
            -0.00984984729,
            -0.0108225802,
            -0.0117953122,
            -0.0127680451,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0143745868,
            -0.0151041355,
            -0.0158336852,
            -0.0165632349,
            -0.0172927845,
            -0.0180223342,
            -0.0187518839,
            -0.0194814336,
            -0.0202109832,
            -0.0209405329,
            -0.0216700826,
            -0.0223996323,
            -0.0231291801,
            -0.0238587297,
            -0.0245882794,
            -0.0253178291,
            -0.0260473806,
            -0.0267769285,
            -0.0275064781,
            -0.0282360278,
            -0.0289655775,
            -0.0296951272,
            -0.0304246768,
            -0.0311542265,
            -0.0318837762,
            -0.0326133259,
            -0.0333428755,
            -0.0340724252,
            -0.0348019749,
            -0.0355315246,
            -0.0362610742,
            -0.0369906239,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0376282632,
            -0.0383578092,
            -0.0390873589,
            -0.0398169085,
            -0.0405464582,
            -0.0412760079,
            -0.0420055576,
            -0.0427351072,
            -0.0434646569,
            -0.0441942066,
            -0.0449237563,
            -0.0456533059,
            -0.0463828556,
            -0.0471124053,
            -0.047841955,
            -0.0485715047,
            -0.0493010543,
            -0.050030604,
            -0.0507601537,
            -0.0514897034,
            -0.052219253,
            -0.0529488027,
            -0.0536783524,
            -0.0544079021,
            -0.0551374517,
            -0.0558670014,
            -0.0565965511,
            -0.0573261008,
            -0.0580556504,
            -0.0587852001,
            -0.0595147498,
            -0.0602442995,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607919395,
            -0.0617646724,
            -0.0627374053,
            -0.0637101382,
            -0.0646828711,
            -0.065655604,
            -0.0666283369,
            -0.0676010698,
            -0.0685738027,
            -0.0695465356,
            -0.0705192685,
            -0.0714920014,
            -0.0724647343,
            -0.0734374672,
            -0.0744102001,
            -0.075382933,
            -0.0763556659,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0757352561,
            -0.0747625306,
            -0.0737897977,
            -0.0728170648,
            -0.0718443319,
            -0.070871599,
            -0.0698988661,
            -0.0689261332,
            -0.0679534003,
            -0.0669806674,
            -0.0660079345,
            -0.0650352016,
            -0.0640624687,
            -0.0630897358,
            -0.0621170029,
            -0.06114427,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0612744763,
            -0.0622472093,
            -0.0632199422,
            -0.0641926751,
            -0.065165408,
            -0.0661381409,
            -0.0671108738,
            -0.0680836067,
            -0.0690563396,
            -0.0700290725,
            -0.0710018054,
            -0.0719745383,
            -0.0729472712,
            -0.0739200041,
            -0.074892737,
            -0.0758654699,
            -0.0770220235,
            -0.0784811229,
            -0.0799402222,
            -0.0813993216,
            -0.0828584209,
            -0.0843175203,
            -0.0857766196,
            -0.087235719,
            -0.0886948183,
            -0.0901539177,
            -0.091613017,
            -0.0930721164,
            -0.0945312157,
            -0.0959903151,
            -0.0974494144,
            -0.0989085138,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642
          ],
          [
            -0.0999999642,
            -0.0992704183,
            -0.0985408649,
            -0.0978113189,
            -0.0970817655,
            -0.0963522196,
            -0.0956226662,
            -0.0948931202,
            -0.0941635668,
            -0.0934340209,
            -0.0927044675,
            -0.0919749215,
            -0.0912453681,
            -0.0905158222,
            -0.0897862688,
            -0.0890567228,
            -0.0883271694,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0877814442,
            -0.0870518982,
            -0.0863223448,
            -0.0855927989,
            -0.0848632455,
            -0.0841336995,
            -0.0834041461,
            -0.0826746002,
            -0.0819450468,
            -0.0812155008,
            -0.0804859474,
            -0.0797564015,
            -0.0790268481,
            -0.0782973021,
            -0.0775677487,
            -0.0768382028,
            -0.0756261125,
            -0.0739238337,
            -0.0722215474,
            -0.0705192685,
            -0.0688169822,
            -0.0671147034,
            -0.0654124171,
            -0.0637101382,
            -0.0620078556,
            -0.060305573,
            -0.0586032905,
            -0.0569010079,
            -0.0551987253,
            -0.0534964427,
            -0.0517941639,
            -0.0500918776,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0491057411,
            -0.0498352908,
            -0.0505648404,
            -0.0512943901,
            -0.0520239398,
            -0.0527534895,
            -0.0534830391,
            -0.0542125888,
            -0.0549421385,
            -0.0556716882,
            -0.0564012378,
            -0.0571307875,
            -0.0578603372,
            -0.0585898869,
            -0.0593194366,
            -0.0600489862,
            -0.0607785359,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0603362098,
            -0.0596066602,
            -0.0588771105,
            -0.0581475608,
            -0.0574180111,
            -0.0566884615,
            -0.0559589118,
            -0.0552293621,
            -0.0544998124,
            -0.0537702627,
            -0.0530407131,
            -0.0523111671,
            -0.0515816137,
            -0.0508520678,
            -0.0501225144,
            -0.0493929684,
            -0.0486634187,
            -0.0479338691,
            -0.0472043194,
            -0.0464747697,
            -0.04574522,
            -0.0450156704,
            -0.0442861207,
            -0.043556571,
            -0.0428270213,
            -0.0420974717,
            -0.041367922,
            -0.0406383723,
            -0.0399088226,
            -0.0391792729,
            -0.0384497233,
            -0.0377201736,
            -0.0369906239,
            -0.0362610742,
            -0.0355315246,
            -0.0348019749,
            -0.0340724252,
            -0.0333428755,
            -0.0326133259,
            -0.0318837762,
            -0.0311542265,
            -0.0304246768,
            -0.0296951272,
            -0.0289655775,
            -0.0282360278,
            -0.0275064781,
            -0.0267769285,
            -0.0260473788,
            -0.0250880513,
            -0.0233857688,
            -0.0216834862,
            -0.0199812036,
            -0.018278921,
            -0.0165766403,
            -0.0148743568,
            -0.0131720742,
            -0.0114697916,
            -0.00976751,
            -0.00806522742,
            -0.00636294484,
            -0.00466066226,
            -0.00295837969,
            -0.00125609711,
            0.00044618547,
            0.00212165946,
            0.00358075881,
            0.0050398577,
            0.00649895705,
            0.00795805641,
            0.00941715576,
            0.0108762551,
            0.0123353535,
            0.0137944529,
            0.0152535522,
            0.0167126507,
            0.01817175,
            0.0196308494,
            0.0210899487,
            0.0225490481,
            0.0240081474,
            0.0254672468,
            0.027644407,
            0.029833056,
            0.0320217051,
            0.0342103541,
            0.0363989994,
            0.0385876521,
            0.0407762975,
            0.0429649502,
            0.0451535955,
            0.0473422445,
            0.0495308936,
            0.0517195426,
            0.0539081916,
            0.0560968406,
            0.0582854897,
            0.0604741387,
            0.0622453541,
            0.0639476329,
            0.0656499192,
            0.0673521981,
            0.0690544844,
            0.0707567632,
            0.0724590495,
            0.0741613284,
            0.0758636147,
            0.0775658935,
            0.0792681798,
            0.0809704587,
            0.082672745,
            0.0843750238,
            0.0860773027,
            0.087779589,
            0.0887695551,
            0.0894991085,
            0.0902286544,
            0.0909582078,
            0.0916877538,
            0.0924172997,
            0.0931468531,
            0.0938764066,
            0.0946059525,
            0.0953354985,
            0.0960650519,
            0.0967946053,
            0.0975241512,
            0.0982536972,
            0.0989832506,
            0.0997127965,
            0.10044235,
            0.101171896,
            0.101901449,
            0.102630995,
            0.103360549,
            0.104090095,
            0.104819648,
            0.105549194,
            0.106278747,
            0.107008293,
            0.107737847,
            0.108467393,
            0.109196946,
            0.109926492,
            0.110656045,
            0.111385591,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111931317,
            0.11266087,
            0.113390416,
            0.114119969,
            0.114849515,
            0.115579069,
            0.116308615,
            0.117038168,
            0.117767714,
            0.118497267,
            0.119226813,
            0.119956367,
            0.120685913,
            0.121415466,
            0.122145012,
            0.122874565,
            0.123629004,
            0.124601737,
            0.12557447,
            0.126547202,
            0.127519935,
            0.128492668,
            0.129465401,
            0.130438134,
            0.131410867,
            0.1323836,
            0.133356333,
            0.134329066,
            0.135301799,
            0.136274531,
            0.137247264,
            0.138219997,
            0.13919273,
            0.140640348,
            0.14209944,
            0.143558547,
            0.145017654,
            0.146476761,
            0.147935852,
            0.149394959,
            0.150854066,
            0.152313173,
            0.153772265,
            0.155231372,
            0.156690478,
            0.15814957,
            0.159608677,
            0.161067784,
            0.162526891,
            0.163365573,
            0.164095119,
            0.164824665,
            0.165554211,
            0.166283756,
            0.167013302,
            0.167742848,
            0.168472394,
            0.16920194,
            0.169931486,
            0.170661032,
            0.171390578,
            0.172120124,
            0.17284967,
            0.173579216,
            0.174308762,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174946398,
            0.175675958,
            0.176405504,
            0.17713505,
            0.177864596,
            0.178594157,
            0.179323703,
            0.180053249,
            0.180782795,
            0.181512356,
            0.182241902,
            0.182971448,
            0.183700994,
            0.184430555,
            0.1851601,
            0.185889646,
            0.186734095,
            0.187706828,
            0.188679561,
            0.189652294,
            0.190625042,
            0.191597775,
            0.192570508,
            0.19354324,
            0.194515973,
            0.195488721,
            0.196461454,
            0.197434187,
            0.198406935,
            0.199379668,
            0.200352401,
            0.201325133,
            0.202213615,
            0.202943161,
            0.203672707,
            0.204402253,
            0.205131799,
            0.205861345,
            0.206590891,
            0.207320437,
            0.208049983,
            0.208779529,
            0.209509075,
            0.210238621,
            0.210968167,
            0.211697713,
            0.212427258,
            0.213156804,
            0.21388635,
            0.214615896,
            0.215345457,
            0.216075003,
            0.216804549,
            0.217534095,
            0.218263656,
            0.218993202,
            0.219722748,
            0.220452294,
            0.221181855,
            0.221911401,
            0.222640947,
            0.223370492,
            0.224100053,
            0.224829599,
            0.22542128,
            0.224691734,
            0.223962173,
            0.223232627,
            0.222503081,
            0.221773535,
            0.221043974,
            0.220314428,
            0.219584882,
            0.218855336,
            0.21812579,
            0.21739623,
            0.216666684,
            0.215937138,
            0.215207577,
            0.214478031,
            0.213748485,
            0.213018939,
            0.212289393,
            0.211559847,
            0.210830301,
            0.210100755,
            0.209371209,
            0.208641663,
            0.207912117,
            0.207182571,
            0.206453025,
            0.205723479,
            0.204993933,
            0.204264387,
            0.203534842,
            0.202805296,
            0.20207575,
            0.201141313,
            0.20016858,
            0.199195832,
            0.198223099,
            0.197250366,
            0.196277633,
            0.1953049,
            0.194332153,
            0.19335942,
            0.192386687,
            0.191413954,
            0.190441206,
            0.189468473,
            0.18849574,
            0.187523007,
            0.18655026,
            0.185751781,
            0.185022235,
            0.184292674,
            0.183563128,
            0.182833582,
            0.182104036,
            0.18137449,
            0.180644929,
            0.179915383,
            0.179185838,
            0.178456277,
            0.177726731,
            0.176997185,
            0.176267639,
            0.175538093,
            0.174808532,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.17484875,
            0.175578296,
            0.176307842,
            0.177037403,
            0.177766949,
            0.178496495,
            0.179226041,
            0.179955602,
            0.180685148,
            0.181414694,
            0.18214424,
            0.182873785,
            0.183603346,
            0.184332892,
            0.185062438,
            0.185791999,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186119422,
            0.185389876,
            0.18466033,
            0.183930784,
            0.183201224,
            0.182471678,
            0.181742132,
            0.181012586,
            0.180283025,
            0.179553479,
            0.178823933,
            0.178094387,
            0.177364826,
            0.17663528,
            0.175905734,
            0.175176188,
            0.174446627,
            0.173717082,
            0.172987536,
            0.17225799,
            0.171528444,
            0.170798898,
            0.170069352,
            0.169339806,
            0.168610275,
            0.167880714,
            0.167151183,
            0.166421622,
            0.165692091,
            0.16496253,
            0.164232999,
            0.163503438,
            0.162773907,
            0.162044346,
            0.1613148,
            0.16058524,
            0.159855694,
            0.159126133,
            0.158396587,
            0.157667026,
            0.15693748,
            0.156207919,
            0.155478373,
            0.154748812,
            0.154019266,
            0.153289706,
            0.15256016,
            0.151830599,
            0.151101053,
            0.150371492,
            0.149641946,
            0.1489124,
            0.148182854,
            0.147453293,
            0.146723747,
            0.145994201,
            0.145264655,
            0.144535094,
            0.143805549,
            0.143076003,
            0.142346457,
            0.141616896,
            0.14088735,
            0.140157804,
            0.139428258,
            0.138526365,
            0.137553632,
            0.136580899,
            0.135608166,
            0.134635434,
            0.133662701,
            0.132689968,
            0.131717235,
            0.130744502,
            0.129771769,
            0.128799036,
            0.127826303,
            0.12685357,
            0.125880837,
            0.124908112,
            0.123935379,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123973675,
            0.124946408,
            0.125919133,
            0.126891866,
            0.127864599,
            0.128837332,
            0.129810065,
            0.130782798,
            0.131755531,
            0.132728264,
            0.133700997,
            0.13467373,
            0.135646462,
            0.136619195,
            0.137591928,
            0.138564661,
            0.138894022,
            0.137921289,
            0.136948556,
            0.135975823,
            0.13500309,
            0.134030357,
            0.133057624,
            0.132084891,
            0.131112158,
            0.130139425,
            0.129166692,
            0.12819396,
            0.127221227,
            0.126248494,
            0.125275761,
            0.124303028,
            0.12338008,
            0.122650526,
            0.121920981,
            0.121191427,
            0.120461881,
            0.119732328,
            0.119002782,
            0.118273228,
            0.117543682,
            0.116814129,
            0.116084583,
            0.11535503,
            0.114625484,
            0.11389593,
            0.113166384,
            0.112436831,
            0.111649841,
            0.110190742,
            0.108731642,
            0.107272543,
            0.105813444,
            0.104354344,
            0.102895245,
            0.101436146,
            0.0999770463,
            0.0985179469,
            0.0970588475,
            0.0955997482,
            0.0941406488,
            0.0926815495,
            0.0912224501,
            0.0897633508,
            0.0883042514,
            0.0866134614,
            0.0849111751,
            0.0832088962,
            0.0815066099,
            0.0798043311,
            0.0781020448,
            0.0763997659,
            0.0746974796,
            0.0729952008,
            0.0712929219,
            0.0695906356,
            0.0678883493,
            0.0661860704,
            0.0644837916,
            0.0627815053,
            0.0610792227,
            0.0595779978,
            0.0581188984,
            0.0566597991,
            0.0552006997,
            0.0537416004,
            0.052282501,
            0.0508234017,
            0.049364306,
            0.0479052067,
            0.0464461073,
            0.044987008,
            0.0435279086,
            0.0420688093,
            0.0406097099,
            0.0391506106,
            0.0376915112,
            0.0367436707,
            0.036014121,
            0.0352845713,
            0.0345550217,
            0.033825472,
            0.0330959223,
            0.0323663726,
            0.031636823,
            0.0309072733,
            0.0301777236,
            0.0294481739,
            0.0287186243,
            0.0279890746,
            0.0272595249,
            0.0265299752,
            0.0258004256,
            0.0250708777,
            0.0243413281,
            0.0236117784,
            0.0228822287,
            0.022152679,
            0.0214231294,
            0.0206935797,
            0.01996403,
            0.0192344803,
            0.0185049307,
            0.017775381,
            0.0170458313,
            0.0163162816,
            0.015586732,
            0.0148571823,
            0.0141276335,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0136738187,
            0.012944269,
            0.0122147193,
            0.0114851706,
            0.0107556209,
            0.0100260712,
            0.00929652154,
            0.00856697187,
            0.00783742219,
            0.00710787252,
            0.00637832284,
            0.00564877316,
            0.00491922349,
            0.00418967381,
            0.00346012414,
            0.00273057539,
            0.00200102571,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00237441692,
            0.00310396636,
            0.00383351604,
            0.00456306571,
            0.00529261539,
            0.00602216506,
            0.00675171427,
            0.00748126395,
            0.00821081363,
            0.0089403633,
            0.00966991298,
            0.0103994627,
            0.0111290123,
            0.011858562,
            0.0125881108,
            0.0133176604,
            0.0140472101,
            0.0147767598,
            0.0155063095,
            0.0162358582,
            0.0169654079,
            0.0176949576,
            0.0184245072,
            0.0191540569,
            0.0198836066,
            0.0206131563,
            0.0213427059,
            0.0220722556,
            0.0228018053,
            0.023531355,
            0.0242609046,
            0.0249904543,
            0.0261795633,
            0.0283682123,
            0.0305568594,
            0.0327455103,
            0.0349341556,
            0.0371228084,
            0.0393114537,
            0.0415001065,
            0.0436887518,
            0.0458774008,
            0.0480660498,
            0.0502546988,
            0.0524433479,
            0.0546319969,
            0.0568206459,
            0.059009295,
            0.0611060299,
            0.0628083125,
            0.0645105988,
            0.0662128776,
            0.0679151639,
            0.0696174428,
            0.0713197291,
            0.0730220079,
            0.0747242868,
            0.0764265731,
            0.0781288594,
            0.0798311383,
            0.0815334171,
            0.0832357034,
            0.0849379823,
            0.0866402686,
            0.0882812738,
            0.0890108272,
            0.0897403732,
            0.0904699266,
            0.0911994725,
            0.0919290259,
            0.0926585719,
            0.0933881253,
            0.0941176713,
            0.0948472172,
            0.0955767706,
            0.096306324,
            0.09703587,
            0.0977654159,
            0.0984949693,
            0.0992245153,
            0.0999540687,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0994083434,
            0.09867879,
            0.0979492441,
            0.0972196907,
            0.0964901447,
            0.0957605913,
            0.0950310454,
            0.094301492,
            0.093571946,
            0.0928423926,
            0.0921128467,
            0.0913832933,
            0.0906537473,
            0.0899242014,
            0.089194648,
            0.0884650946,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0886431783,
            0.0893727243,
            0.0901022777,
            0.0908318236,
            0.091561377,
            0.092290923,
            0.0930204764,
            0.0937500224,
            0.0944795758,
            0.0952091217,
            0.0959386751,
            0.0966682211,
            0.0973977745,
            0.0981273204,
            0.0988568738,
            0.0995864198,
            0.100631915,
            0.102091014,
            0.103550114,
            0.105009213,
            0.106468312,
            0.107927412,
            0.109386511,
            0.11084561,
            0.11230471,
            0.113763809,
            0.115222909,
            0.116682008,
            0.118141107,
            0.119600207,
            0.121059306,
            0.122518405,
            0.124052182,
            0.125754461,
            0.127456754,
            0.129159033,
            0.130861312,
            0.132563591,
            0.13426587,
            0.135968164,
            0.137670442,
            0.139372721,
            0.141075,
            0.142777294,
            0.144479573,
            0.146181852,
            0.14788413,
            0.149586424,
            0.151112542,
            0.151842088,
            0.152571648,
            0.153301194,
            0.154030755,
            0.154760301,
            0.155489862,
            0.156219408,
            0.156948969,
            0.157678515,
            0.158408076,
            0.159137622,
            0.159867182,
            0.160596728,
            0.161326289,
            0.162055835,
            0.162785396,
            0.163514942,
            0.164244488,
            0.164974034,
            0.16570358,
            0.166433126,
            0.167162657,
            0.167892218,
            0.168621749,
            0.16935131,
            0.170080841,
            0.170810401,
            0.171539932,
            0.172269493,
            0.172999024,
            0.173728585,
            0.174458116,
            0.175187677,
            0.175917223,
            0.176646769,
            0.177376315,
            0.178105876,
            0.178835422,
            0.179564968,
            0.180294514,
            0.181024075,
            0.181753621,
            0.182483166,
            0.183212712,
            0.183942273,
            0.184671819,
            0.185401365,
            0.186130911,
            0.187055781,
            0.188028514,
            0.189001247,
            0.189973995,
            0.190946728,
            0.191919461,
            0.192892194,
            0.193864942,
            0.194837674,
            0.195810407,
            0.19678314,
            0.197755888,
            0.198728621,
            0.199701354,
            0.200674087,
            0.201646835,
            0.20245488,
            0.203184426,
            0.203913972,
            0.204643518,
            0.205373064,
            0.20610261,
            0.206832156,
            0.207561702,
            0.208291247,
            0.209020793,
            0.209750339,
            0.210479885,
            0.211209431,
            0.211938977,
            0.212668523,
            0.213398069,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.21341531,
            0.212685764,
            0.211956218,
            0.211226672,
            0.210497126,
            0.20976758,
            0.209038034,
            0.208308488,
            0.207578942,
            0.206849396,
            0.20611985,
            0.205390304,
            0.204660758,
            0.203931212,
            0.203201666,
            0.202472121,
            0.201669812,
            0.200697064,
            0.199724331,
            0.198751599,
            0.197778866,
            0.196806118,
            0.195833385,
            0.194860652,
            0.193887919,
            0.192915171,
            0.191942438,
            0.190969706,
            0.189996973,
            0.18902424,
            0.188051492,
            0.187078759,
            0.186148152,
            0.185418606,
            0.184689045,
            0.183959499,
            0.183229953,
            0.182500407,
            0.181770846,
            0.1810413,
            0.180311754,
            0.179582208,
            0.178852648,
            0.178123102,
            0.177393556,
            0.17666401,
            0.175934449,
            0.175204903,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.175181925,
            0.175911471,
            0.176641032,
            0.177370578,
            0.178100124,
            0.17882967,
            0.179559231,
            0.180288777,
            0.181018323,
            0.181747869,
            0.18247743,
            0.183206975,
            0.183936521,
            0.184666067,
            0.185395628,
            0.186125174,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186061978,
            0.185332432,
            0.184602886,
            0.18387334,
            0.18314378,
            0.182414234,
            0.181684688,
            0.180955142,
            0.180225581,
            0.179496035,
            0.178766489,
            0.178036943,
            0.177307382,
            0.176577836,
            0.17584829,
            0.175118744,
            0.174268559,
            0.172809452,
            0.17135036,
            0.169891253,
            0.168432161,
            0.166973054,
            0.165513963,
            0.164054856,
            0.162595764,
            0.161136657,
            0.159677565,
            0.158218458,
            0.156759366,
            0.15530026,
            0.153841168,
            0.152382061,
            0.150951684,
            0.150222138,
            0.149492592,
            0.148763046,
            0.1480335,
            0.147303939,
            0.146574393,
            0.145844847,
            0.145115301,
            0.14438574,
            0.143656194,
            0.142926648,
            0.142197102,
            0.141467541,
            0.140737996,
            0.14000845,
            0.139278904,
            0.138327226,
            0.137354493,
            0.13638176,
            0.135409027,
            0.134436294,
            0.133463562,
            0.132490829,
            0.131518096,
            0.130545363,
            0.12957263,
            0.128599897,
            0.127627164,
            0.126654431,
            0.125681698,
            0.124708965,
            0.123736233,
            0.12238054,
            0.12092144,
            0.119462341,
            0.118003242,
            0.116544142,
            0.115085043,
            0.113625944,
            0.112166844,
            0.110707745,
            0.109248646,
            0.107789546,
            0.106330447,
            0.104871348,
            0.103412248,
            0.101953149,
            0.100494049,
            0.099517487,
            0.098787941,
            0.0980583876,
            0.0973288417,
            0.0965992883,
            0.0958697423,
            0.0951401889,
            0.094410643,
            0.0936810896,
            0.0929515436,
            0.0922219902,
            0.0914924443,
            0.0907628909,
            0.0900333449,
            0.0893037915,
            0.0885742456,
            0.0878446922,
            0.0871151462,
            0.0863855928,
            0.0856560469,
            0.0849264935,
            0.0841969475,
            0.0834673941,
            0.0827378482,
            0.0820082948,
            0.0812787488,
            0.0805491954,
            0.0798196495,
            0.0790900961,
            0.0783605501,
            0.0776309967,
            0.0769014508,
            0.0760723278,
            0.0750995949,
            0.074126862,
            0.0731541291,
            0.0721813962,
            0.0712086633,
            0.0702359304,
            0.0692631975,
            0.0682904646,
            0.0673177317,
            0.0663449988,
            0.0653722659,
            0.064399533,
            0.0634268001,
            0.0624540709,
            0.061481338,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0616651624,
            0.0626378953,
            0.0636106282,
            0.0645833611,
            0.0655560941,
            0.066528827,
            0.0675015599,
            0.0684742928,
            0.0694470257,
            0.0704197586,
            0.0713924915,
            0.0723652244,
            0.0733379573,
            0.0743106902,
            0.0752834231,
            0.076256156,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0767635852,
            0.0774931312,
            0.0782226846,
            0.0789522305,
            0.0796817839,
            0.0804113299,
            0.0811408758,
            0.0818704292,
            0.0825999826,
            0.0833295286,
            0.0840590745,
            0.0847886279,
            0.0855181813,
            0.0862477273,
            0.0869772732,
            0.0877068266,
            0.0884363726,
            0.089165926,
            0.0898954719,
            0.0906250253,
            0.0913545713,
            0.0920841247,
            0.0928136706,
            0.093543224,
            0.09427277,
            0.0950023234,
            0.0957318693,
            0.0964614227,
            0.0971909687,
            0.0979205221,
            0.098650068,
            0.0993796214,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0999655575,
            0.0985064581,
            0.0970473588,
            0.0955882594,
            0.09412916,
            0.0926700607,
            0.0912109613,
            0.089751862,
            0.0882927626,
            0.0868336633,
            0.0853745639,
            0.0839154646,
            0.0824563652,
            0.0809972659,
            0.0795381665,
            0.0780790672,
            0.0766199678,
            0.0749425814,
            0.0732402951,
            0.0715380162,
            0.0698357299,
            0.068133451,
            0.0664311647,
            0.0647288859,
            0.063026607,
            0.0613243207,
            0.0596220419,
            0.0579197556,
            0.0562174767,
            0.0545151904,
            0.0528129116,
            0.0511106253,
            0.0494083464,
            0.0484566763,
            0.0477271266,
            0.046997577,
            0.0462680273,
            0.0455384776,
            0.0448089279,
            0.0440793782,
            0.0433498286,
            0.0426202789,
            0.0418907292,
            0.0411611795,
            0.0404316299,
            0.0397020802,
            0.0389725305,
            0.0382429808,
            0.0375134312,
            0.0367838815,
            0.0360543318,
            0.0353247821,
            0.0345952325,
            0.0338656828,
            0.0331361331,
            0.0324065834,
            0.0316770338,
            0.0309474841,
            0.0302179344,
            0.0294883847,
            0.028758835,
            0.0280292854,
            0.0272997376,
            0.0265701879,
            0.0258406382,
            0.0251110885,
            0.0243815389,
            0.0236519892,
            0.0229224395,
            0.0221928898,
            0.0214633401,
            0.0207337905,
            0.0200042408,
            0.0192746911,
            0.0185451414,
            0.0178155936,
            0.017086044,
            0.0163564943,
            0.0156269446,
            0.014897394,
            0.0141678443,
            0.0134382946,
            0.012708745,
            0.0119791962,
            0.0112496465,
            0.0105200969,
            0.00979054719,
            0.00906099752,
            0.00833144784,
            0.00760189816,
            0.00687234849,
            0.00614279881,
            0.00541324914,
            0.00468369946,
            0.00395415071,
            0.00322460104,
            0.00249505136,
            0.00170039735,
            0.000727664563,
            -0.000245068222,
            -0.00121780112,
            -0.00219053403,
            -0.00316326646,
            -0.00413599936,
            -0.00510873226,
            -0.0060814647,
            -0.0070541976,
            -0.0080269305,
            -0.00899966341,
            -0.00997239631,
            -0.0109451292,
            -0.0119178612,
            -0.0128905941,
            -0.0138288606,
            -0.0145584103,
            -0.0152879599,
            -0.0160175096,
            -0.0167470593,
            -0.017476609,
            -0.0182061568,
            -0.0189357065,
            -0.0196652561,
            -0.0203948058,
            -0.0211243555,
            -0.0218539052,
            -0.0225834548,
            -0.0233130045,
            -0.0240425542,
            -0.0247721039,
            -0.0255016536,
            -0.0262312032,
            -0.0269607529,
            -0.0276903026,
            -0.0284198523,
            -0.0291494019,
            -0.0298789516,
            -0.0306085013,
            -0.031338051,
            -0.0320676006,
            -0.0327971503,
            -0.0335267,
            -0.0342562497,
            -0.0349857993,
            -0.035715349,
            -0.0364448987,
            -0.0371744484,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0376282632,
            -0.0383578092,
            -0.0390873589,
            -0.0398169085,
            -0.0405464582,
            -0.0412760079,
            -0.0420055576,
            -0.0427351072,
            -0.0434646569,
            -0.0441942066,
            -0.0449237563,
            -0.0456533059,
            -0.0463828556,
            -0.0471124053,
            -0.047841955,
            -0.0485715047,
            -0.0493010543,
            -0.050030604,
            -0.0507601537,
            -0.0514897034,
            -0.052219253,
            -0.0529488027,
            -0.0536783524,
            -0.0544079021,
            -0.0551374517,
            -0.0558670014,
            -0.0565965511,
            -0.0573261008,
            -0.0580556504,
            -0.0587852001,
            -0.0595147498,
            -0.0602442995,
            -0.0610370375,
            -0.0620097704,
            -0.0629824996,
            -0.0639552325,
            -0.0649279654,
            -0.0659006983,
            -0.0668734312,
            -0.0678461641,
            -0.068818897,
            -0.0697916299,
            -0.0707643628,
            -0.0717370957,
            -0.0727098286,
            -0.0736825615,
            -0.0746552944,
            -0.0756280273,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764762983,
            -0.0772058517,
            -0.0779353976,
            -0.0786649436,
            -0.079394497,
            -0.0801240429,
            -0.0808535963,
            -0.0815831423,
            -0.0823126957,
            -0.0830422416,
            -0.083771795,
            -0.084501341,
            -0.0852308944,
            -0.0859604403,
            -0.0866899937,
            -0.0874195397,
            -0.0881490931,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0885109976,
            -0.0892405435,
            -0.0899700969,
            -0.0906996429,
            -0.0914291888,
            -0.0921587422,
            -0.0928882957,
            -0.0936178416,
            -0.0943473876,
            -0.095076941,
            -0.0958064869,
            -0.0965360403,
            -0.0972655863,
            -0.0979951397,
            -0.0987246856,
            -0.099454239,
            -0.100183785,
            -0.100913338,
            -0.101642884,
            -0.10237243,
            -0.103101976,
            -0.10383153,
            -0.104561076,
            -0.105290622,
            -0.106020167,
            -0.106749713,
            -0.107479267,
            -0.108208813,
            -0.108938359,
            -0.109667905,
            -0.110397458,
            -0.111127004,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464
          ],
          [
            -0.11176464,
            -0.111035094,
            -0.110305548,
            -0.109575994,
            -0.108846448,
            -0.108116902,
            -0.107387356,
            -0.106657803,
            -0.105928257,
            -0.105198711,
            -0.104469165,
            -0.103739612,
            -0.103010066,
            -0.10228052,
            -0.101550974,
            -0.100821421,
            -0.100091875,
            -0.1006376,
            -0.101367146,
            -0.102096699,
            -0.102826245,
            -0.103555791,
            -0.104285337,
            -0.10501489,
            -0.105744436,
            -0.106473982,
            -0.107203528,
            -0.107933074,
            -0.108662628,
            -0.109392174,
            -0.11012172,
            -0.110851273,
            -0.111580819,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111310825,
            -0.110581279,
            -0.109851733,
            -0.109122187,
            -0.108392633,
            -0.107663088,
            -0.106933542,
            -0.106203996,
            -0.105474442,
            -0.104744896,
            -0.10401535,
            -0.103285804,
            -0.102556251,
            -0.101826705,
            -0.101097159,
            -0.100367613,
            -0.0992761627,
            -0.0978170633,
            -0.096357964,
            -0.0948988646,
            -0.0934397653,
            -0.0919806659,
            -0.0905215666,
            -0.0890624672,
            -0.0876033679,
            -0.0861442685,
            -0.0846851692,
            -0.0832260698,
            -0.0817669705,
            -0.0803078711,
            -0.0788487718,
            -0.0773896724,
            -0.0761105642,
            -0.0751378313,
            -0.0741650984,
            -0.0731923655,
            -0.0722196326,
            -0.0712468997,
            -0.0702741668,
            -0.0693014339,
            -0.068328701,
            -0.0673559681,
            -0.0663832352,
            -0.0654105097,
            -0.0644377768,
            -0.0634650439,
            -0.0624923073,
            -0.0615195744,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0603362098,
            -0.0596066602,
            -0.0588771105,
            -0.0581475608,
            -0.0574180111,
            -0.0566884615,
            -0.0559589118,
            -0.0552293621,
            -0.0544998124,
            -0.0537702627,
            -0.0530407131,
            -0.0523111671,
            -0.0515816137,
            -0.0508520678,
            -0.0501225144,
            -0.0493929684,
            -0.0486634187,
            -0.0479338691,
            -0.0472043194,
            -0.0464747697,
            -0.04574522,
            -0.0450156704,
            -0.0442861207,
            -0.043556571,
            -0.0428270213,
            -0.0420974717,
            -0.041367922,
            -0.0406383723,
            -0.0399088226,
            -0.0391792729,
            -0.0384497233,
            -0.0377201736,
            -0.0369906239,
            -0.0362610742,
            -0.0355315246,
            -0.0348019749,
            -0.0340724252,
            -0.0333428755,
            -0.0326133259,
            -0.0318837762,
            -0.0311542265,
            -0.0304246768,
            -0.0296951272,
            -0.0289655775,
            -0.0282360278,
            -0.0275064781,
            -0.0267769285,
            -0.0260473788,
            -0.0249157157,
            -0.0224838853,
            -0.020052053,
            -0.0176202208,
            -0.0151883885,
            -0.0127565563,
            -0.010324724,
            -0.00789289176,
            -0.00546106137,
            -0.00302922912,
            -0.000597396865,
            0.00183443539,
            0.00426626764,
            0.00669809803,
            0.00912993029,
            0.0115617625,
            0.0138059417,
            0.0145354914,
            0.015265041,
            0.0159945898,
            0.0167241395,
            0.0174536891,
            0.0181832388,
            0.0189127885,
            0.0196423382,
            0.0203718878,
            0.0211014375,
            0.0218309872,
            0.0225605369,
            0.0232900865,
            0.0240196362,
            0.0247491859,
            0.0254787356,
            0.0269263461,
            0.0283854455,
            0.0298445448,
            0.0313036442,
            0.0327627435,
            0.0342218429,
            0.0356809422,
            0.0371400416,
            0.0385991409,
            0.0400582403,
            0.0415173396,
            0.042976439,
            0.0444355384,
            0.045894634,
            0.0473537333,
            0.0488128327,
            0.0504806489,
            0.0521829315,
            0.053885214,
            0.0555874966,
            0.0572897792,
            0.0589920618,
            0.0606943443,
            0.0623966232,
            0.0640989095,
            0.0658011883,
            0.0675034747,
            0.0692057535,
            0.0709080398,
            0.0726103187,
            0.0743125975,
            0.0760148838,
            0.0770048499,
            0.0777344033,
            0.0784639493,
            0.0791935027,
            0.0799230486,
            0.0806525946,
            0.081382148,
            0.0821117014,
            0.0828412473,
            0.0835707933,
            0.0843003467,
            0.0850299001,
            0.085759446,
            0.086488992,
            0.0872185454,
            0.0879480913,
            0.0886776447,
            0.0894071907,
            0.0901367441,
            0.09086629,
            0.0915958434,
            0.0923253894,
            0.0930549428,
            0.0937844887,
            0.0945140421,
            0.0952435881,
            0.0959731415,
            0.0967026874,
            0.0974322408,
            0.0981617868,
            0.0988913402,
            0.0996208861,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100333206,
            0.101792306,
            0.103251405,
            0.104710504,
            0.106169604,
            0.107628703,
            0.109087795,
            0.110546902,
            0.112005994,
            0.113465101,
            0.114924192,
            0.116383299,
            0.117842391,
            0.119301498,
            0.12076059,
            0.122219689,
            0.123629004,
            0.124601737,
            0.12557447,
            0.126547202,
            0.127519935,
            0.128492668,
            0.129465401,
            0.130438134,
            0.131410867,
            0.1323836,
            0.133356333,
            0.134329066,
            0.135301799,
            0.136274531,
            0.137247264,
            0.138219997,
            0.13919273,
            0.139928028,
            0.140657574,
            0.14138712,
            0.142116666,
            0.142846227,
            0.143575773,
            0.144305319,
            0.145034865,
            0.145764425,
            0.146493971,
            0.147223517,
            0.147953063,
            0.148682624,
            0.14941217,
            0.150141716,
            0.150871262,
            0.151600823,
            0.152330369,
            0.15305993,
            0.153789476,
            0.154519036,
            0.155248582,
            0.155978143,
            0.156707689,
            0.15743725,
            0.158166796,
            0.158896357,
            0.159625903,
            0.160355464,
            0.16108501,
            0.16181457,
            0.162544116,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163618341,
            0.165077433,
            0.166536525,
            0.167995617,
            0.169454724,
            0.170913815,
            0.172372907,
            0.173831999,
            0.175291106,
            0.176750198,
            0.17820929,
            0.179668382,
            0.181127489,
            0.182586581,
            0.184045672,
            0.185504764,
            0.186734095,
            0.187706828,
            0.188679561,
            0.189652294,
            0.190625042,
            0.191597775,
            0.192570508,
            0.19354324,
            0.194515973,
            0.195488721,
            0.196461454,
            0.197434187,
            0.198406935,
            0.199379668,
            0.200352401,
            0.201325133,
            0.202213615,
            0.202943161,
            0.203672707,
            0.204402253,
            0.205131799,
            0.205861345,
            0.206590891,
            0.207320437,
            0.208049983,
            0.208779529,
            0.209509075,
            0.210238621,
            0.210968167,
            0.211697713,
            0.212427258,
            0.213156804,
            0.21388635,
            0.214615896,
            0.215345457,
            0.216075003,
            0.216804549,
            0.217534095,
            0.218263656,
            0.218993202,
            0.219722748,
            0.220452294,
            0.221181855,
            0.221911401,
            0.222640947,
            0.223370492,
            0.224100053,
            0.224829599,
            0.22542128,
            0.224691734,
            0.223962173,
            0.223232627,
            0.222503081,
            0.221773535,
            0.221043974,
            0.220314428,
            0.219584882,
            0.218855336,
            0.21812579,
            0.21739623,
            0.216666684,
            0.215937138,
            0.215207577,
            0.214478031,
            0.213748485,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213110849,
            0.212381303,
            0.211651757,
            0.210922211,
            0.210192665,
            0.20946312,
            0.208733574,
            0.208004028,
            0.207274482,
            0.206544936,
            0.20581539,
            0.205085844,
            0.204356298,
            0.203626752,
            0.202897206,
            0.20216766,
            0.20126386,
            0.200291127,
            0.199318394,
            0.198345646,
            0.197372913,
            0.19640018,
            0.195427448,
            0.1944547,
            0.193481967,
            0.192509234,
            0.191536501,
            0.190563768,
            0.18959102,
            0.188618287,
            0.187645555,
            0.186672807,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186119422,
            0.185389876,
            0.18466033,
            0.183930784,
            0.183201224,
            0.182471678,
            0.181742132,
            0.181012586,
            0.180283025,
            0.179553479,
            0.178823933,
            0.178094387,
            0.177364826,
            0.17663528,
            0.175905734,
            0.175176188,
            0.174446627,
            0.173717082,
            0.172987536,
            0.17225799,
            0.171528444,
            0.170798898,
            0.170069352,
            0.169339806,
            0.168610275,
            0.167880714,
            0.167151183,
            0.166421622,
            0.165692091,
            0.16496253,
            0.164232999,
            0.163503438,
            0.162773907,
            0.162044346,
            0.1613148,
            0.16058524,
            0.159855694,
            0.159126133,
            0.158396587,
            0.157667026,
            0.15693748,
            0.156207919,
            0.155478373,
            0.154748812,
            0.154019266,
            0.153289706,
            0.15256016,
            0.151830599,
            0.151101053,
            0.150371492,
            0.149641946,
            0.1489124,
            0.148182854,
            0.147453293,
            0.146723747,
            0.145994201,
            0.145264655,
            0.144535094,
            0.143805549,
            0.143076003,
            0.142346457,
            0.141616896,
            0.14088735,
            0.140157804,
            0.139428258,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139548883,
            0.140278444,
            0.14100799,
            0.141737536,
            0.142467082,
            0.143196642,
            0.143926188,
            0.144655734,
            0.14538528,
            0.146114841,
            0.146844387,
            0.147573933,
            0.148303479,
            0.14903304,
            0.149762586,
            0.150492132,
            0.150739148,
            0.150009602,
            0.149280041,
            0.148550496,
            0.14782095,
            0.147091404,
            0.146361843,
            0.145632297,
            0.144902751,
            0.144173205,
            0.143443644,
            0.142714098,
            0.141984552,
            0.141255006,
            0.140525445,
            0.139795899,
            0.139016569,
            0.138043836,
            0.137071103,
            0.13609837,
            0.135125637,
            0.134152904,
            0.133180171,
            0.132207438,
            0.131234705,
            0.130261973,
            0.12928924,
            0.128316507,
            0.127343774,
            0.126371041,
            0.125398308,
            0.124425575,
            0.123414546,
            0.121955447,
            0.120496348,
            0.119037248,
            0.117578149,
            0.116119049,
            0.11465995,
            0.113200851,
            0.111741751,
            0.110282652,
            0.108823553,
            0.107364453,
            0.105905354,
            0.104446255,
            0.102987155,
            0.101528056,
            0.100068957,
            0.0986098573,
            0.0971507579,
            0.0956916586,
            0.0942325592,
            0.0927734599,
            0.0913143605,
            0.0898552611,
            0.0883961618,
            0.0869370624,
            0.0854779631,
            0.0840188712,
            0.0825597644,
            0.0811006725,
            0.0796415657,
            0.0781824738,
            0.076723367,
            0.0750632137,
            0.0733609349,
            0.0716586486,
            0.0699563697,
            0.0682540834,
            0.0665518045,
            0.0648495182,
            0.0631472394,
            0.0614449568,
            0.0597426742,
            0.0580403917,
            0.0563381091,
            0.0546358265,
            0.0529335439,
            0.0512312613,
            0.0495289788,
            0.047997117,
            0.0465380177,
            0.0450789183,
            0.043619819,
            0.0421607196,
            0.0407016203,
            0.0392425209,
            0.0377834216,
            0.0363243222,
            0.0348652229,
            0.0334061235,
            0.0319470242,
            0.0304879267,
            0.0290288273,
            0.027569728,
            0.0261106286,
            0.0250708777,
            0.0243413281,
            0.0236117784,
            0.0228822287,
            0.022152679,
            0.0214231294,
            0.0206935797,
            0.01996403,
            0.0192344803,
            0.0185049307,
            0.017775381,
            0.0170458313,
            0.0163162816,
            0.015586732,
            0.0148571823,
            0.0141276335,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0134899952,
            0.0127604455,
            0.0120308958,
            0.0113013461,
            0.0105717964,
            0.00984224677,
            0.00911269709,
            0.00838314835,
            0.00765359867,
            0.006924049,
            0.00619449932,
            0.00546494965,
            0.00473539997,
            0.00400585029,
            0.00327630062,
            0.00254675187,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00265015219,
            0.00337970164,
            0.00410925131,
            0.00483880099,
            0.00556835067,
            0.00629790034,
            0.00702744955,
            0.00775699923,
            0.00848654844,
            0.00921609811,
            0.00994564779,
            0.0106751975,
            0.0114047471,
            0.0121342968,
            0.0128638465,
            0.0135933962,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0141391223,
            0.014868672,
            0.0155982208,
            0.0163277704,
            0.0170573201,
            0.0177868698,
            0.0185164195,
            0.0192459691,
            0.0199755188,
            0.0207050685,
            0.0214346182,
            0.0221641678,
            0.0228937175,
            0.0236232672,
            0.024352815,
            0.0250823647,
            0.0258119162,
            0.0265414659,
            0.0272710137,
            0.0280005634,
            0.0287301131,
            0.0294596627,
            0.0301892124,
            0.0309187621,
            0.0316483118,
            0.0323778614,
            0.0331074111,
            0.0338369608,
            0.0345665105,
            0.0352960601,
            0.0360256098,
            0.0367551595,
            0.0377144888,
            0.0391735882,
            0.0406326875,
            0.0420917869,
            0.0435508862,
            0.0450099856,
            0.0464690849,
            0.0479281843,
            0.0493872836,
            0.050846383,
            0.0523054823,
            0.0537645817,
            0.055223681,
            0.0566827804,
            0.058141876,
            0.0596009754,
            0.0609681644,
            0.0619408973,
            0.0629136264,
            0.0638863593,
            0.0648590922,
            0.0658318251,
            0.066804558,
            0.0677772909,
            0.0687500238,
            0.0697227567,
            0.0706954896,
            0.0716682225,
            0.0726409554,
            0.0736136883,
            0.0745864213,
            0.0755591542,
            0.0765625238,
            0.0780216232,
            0.0794807225,
            0.0809398219,
            0.0823989213,
            0.0838580206,
            0.08531712,
            0.0867762193,
            0.0882353187,
            0.089694418,
            0.0911535174,
            0.0926126167,
            0.0940717161,
            0.0955308154,
            0.0969899148,
            0.0984490141,
            0.0999081135,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0994083434,
            0.09867879,
            0.0979492441,
            0.0972196907,
            0.0964901447,
            0.0957605913,
            0.0950310454,
            0.094301492,
            0.093571946,
            0.0928423926,
            0.0921128467,
            0.0913832933,
            0.0906537473,
            0.0899242014,
            0.089194648,
            0.0884650946,
            0.0887350887,
            0.0894646347,
            0.0901941881,
            0.0909237415,
            0.0916532874,
            0.0923828334,
            0.0931123868,
            0.0938419327,
            0.0945714861,
            0.0953010321,
            0.0960305855,
            0.0967601314,
            0.0974896848,
            0.0982192308,
            0.0989487842,
            0.0996783301,
            0.100407884,
            0.101137429,
            0.101866983,
            0.102596529,
            0.103326082,
            0.104055628,
            0.104785182,
            0.105514728,
            0.106244281,
            0.106973827,
            0.10770338,
            0.108432926,
            0.10916248,
            0.109892026,
            0.110621579,
            0.111351125,
            0.112501934,
            0.11420422,
            0.115906499,
            0.117608786,
            0.119311064,
            0.121013351,
            0.12271563,
            0.124417916,
            0.126120195,
            0.127822474,
            0.129524767,
            0.131227046,
            0.132929325,
            0.134631604,
            0.136333883,
            0.138036177,
            0.139663786,
            0.141122878,
            0.142581984,
            0.144041091,
            0.145500183,
            0.14695929,
            0.148418397,
            0.149877504,
            0.151336595,
            0.152795702,
            0.154254809,
            0.155713916,
            0.157173008,
            0.158632115,
            0.160091221,
            0.161550328,
            0.162877306,
            0.163606852,
            0.164336398,
            0.165065944,
            0.16579549,
            0.166525036,
            0.167254582,
            0.167984128,
            0.168713674,
            0.16944322,
            0.170172766,
            0.170902312,
            0.171631858,
            0.172361404,
            0.17309095,
            0.173820496,
            0.174550042,
            0.175279588,
            0.176009133,
            0.176738679,
            0.17746824,
            0.178197786,
            0.178927332,
            0.179656878,
            0.180386424,
            0.181115985,
            0.181845531,
            0.182575077,
            0.183304638,
            0.184034184,
            0.18476373,
            0.185493276,
            0.186222821,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.187055781,
            0.188028514,
            0.189001247,
            0.189973995,
            0.190946728,
            0.191919461,
            0.192892194,
            0.193864942,
            0.194837674,
            0.195810407,
            0.19678314,
            0.197755888,
            0.198728621,
            0.199701354,
            0.200674087,
            0.201646835,
            0.20245488,
            0.203184426,
            0.203913972,
            0.204643518,
            0.205373064,
            0.20610261,
            0.206832156,
            0.207561702,
            0.208291247,
            0.209020793,
            0.209750339,
            0.210479885,
            0.211209431,
            0.211938977,
            0.212668523,
            0.213398069,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213001698,
            0.211299419,
            0.209597141,
            0.207894862,
            0.206192568,
            0.204490289,
            0.20278801,
            0.201085731,
            0.199383438,
            0.197681159,
            0.19597888,
            0.194276601,
            0.192574307,
            0.190872028,
            0.18916975,
            0.187467471,
            0.186056241,
            0.185326695,
            0.184597135,
            0.183867589,
            0.183138043,
            0.182408497,
            0.181678936,
            0.18094939,
            0.180219844,
            0.179490298,
            0.178760737,
            0.178031191,
            0.177301645,
            0.176572099,
            0.175842538,
            0.175112993,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174998105,
            0.175727651,
            0.176457196,
            0.177186757,
            0.177916303,
            0.178645849,
            0.179375395,
            0.180104956,
            0.180834502,
            0.181564048,
            0.182293594,
            0.183023155,
            0.183752701,
            0.184482247,
            0.185211793,
            0.185941353,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185970068,
            0.185240522,
            0.184510976,
            0.183781415,
            0.183051869,
            0.182322323,
            0.181592777,
            0.180863217,
            0.180133671,
            0.179404125,
            0.178674579,
            0.177945018,
            0.177215472,
            0.176485926,
            0.17575638,
            0.175026834,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174268559,
            0.172809452,
            0.17135036,
            0.169891253,
            0.168432161,
            0.166973054,
            0.165513963,
            0.164054856,
            0.162595764,
            0.161136657,
            0.159677565,
            0.158218458,
            0.156759366,
            0.15530026,
            0.153841168,
            0.152382061,
            0.150951684,
            0.150222138,
            0.149492592,
            0.148763046,
            0.1480335,
            0.147303939,
            0.146574393,
            0.145844847,
            0.145115301,
            0.14438574,
            0.143656194,
            0.142926648,
            0.142197102,
            0.141467541,
            0.140737996,
            0.14000845,
            0.139278904,
            0.138327226,
            0.137354493,
            0.13638176,
            0.135409027,
            0.134436294,
            0.133463562,
            0.132490829,
            0.131518096,
            0.130545363,
            0.12957263,
            0.128599897,
            0.127627164,
            0.126654431,
            0.125681698,
            0.124708965,
            0.123736233,
            0.12238054,
            0.12092144,
            0.119462341,
            0.118003242,
            0.116544142,
            0.115085043,
            0.113625944,
            0.112166844,
            0.110707745,
            0.109248646,
            0.107789546,
            0.106330447,
            0.104871348,
            0.103412248,
            0.101953149,
            0.100494049,
            0.099517487,
            0.098787941,
            0.0980583876,
            0.0973288417,
            0.0965992883,
            0.0958697423,
            0.0951401889,
            0.094410643,
            0.0936810896,
            0.0929515436,
            0.0922219902,
            0.0914924443,
            0.0907628909,
            0.0900333449,
            0.0893037915,
            0.0885742456,
            0.0878446922,
            0.0871151462,
            0.0863855928,
            0.0856560469,
            0.0849264935,
            0.0841969475,
            0.0834673941,
            0.0827378482,
            0.0820082948,
            0.0812787488,
            0.0805491954,
            0.0798196495,
            0.0790900961,
            0.0783605501,
            0.0776309967,
            0.0769014508,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0761948749,
            0.075222142,
            0.0742494091,
            0.0732766837,
            0.0723039508,
            0.0713312179,
            0.070358485,
            0.0693857521,
            0.0684130192,
            0.0674402863,
            0.0664675534,
            0.0654948205,
            0.0645220876,
            0.0635493547,
            0.0625766218,
            0.0616038851,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0623257756,
            0.0640280619,
            0.0657303408,
            0.0674326271,
            0.0691349059,
            0.0708371848,
            0.0725394711,
            0.0742417574,
            0.0759440362,
            0.0776463151,
            0.0793486014,
            0.0810508803,
            0.0827531666,
            0.0844554454,
            0.0861577317,
            0.0878600106,
            0.0876666158,
            0.0869370624,
            0.0862075165,
            0.0854779631,
            0.0847484171,
            0.0840188637,
            0.0832893178,
            0.0825597644,
            0.0818302184,
            0.081100665,
            0.0803711191,
            0.0796415657,
            0.0789120197,
            0.0781824738,
            0.0774529204,
            0.076723367,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0767635852,
            0.0774931312,
            0.0782226846,
            0.0789522305,
            0.0796817839,
            0.0804113299,
            0.0811408758,
            0.0818704292,
            0.0825999826,
            0.0833295286,
            0.0840590745,
            0.0847886279,
            0.0855181813,
            0.0862477273,
            0.0869772732,
            0.0877068266,
            0.0886374339,
            0.0900965333,
            0.0915556327,
            0.093014732,
            0.0944738314,
            0.0959329307,
            0.0973920301,
            0.0988511294,
            0.100310229,
            0.101769328,
            0.103228427,
            0.104687527,
            0.106146619,
            0.107605726,
            0.109064817,
            0.110523924,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111730263,
            0.110271163,
            0.108812064,
            0.107352965,
            0.105893865,
            0.104434766,
            0.102975667,
            0.101516567,
            0.100057468,
            0.0985983685,
            0.0971392691,
            0.0956801698,
            0.0942210704,
            0.0927619711,
            0.0913028717,
            0.0898437724,
            0.088384673,
            0.0867072865,
            0.0850050002,
            0.0833027214,
            0.0816004351,
            0.0798981562,
            0.0781958699,
            0.0764935911,
            0.0747913122,
            0.0730890259,
            0.0713867471,
            0.0696844608,
            0.0679821819,
            0.0662798956,
            0.0645776168,
            0.0628753304,
            0.0611730516,
            0.0602213815,
            0.0594918318,
            0.0587622821,
            0.0580327325,
            0.0573031828,
            0.0565736331,
            0.0558440834,
            0.0551145338,
            0.0543849841,
            0.0536554344,
            0.0529258847,
            0.052196335,
            0.0514667854,
            0.0507372357,
            0.050007686,
            0.0492781363,
            0.0480775386,
            0.0466184393,
            0.0451593399,
            0.0437002406,
            0.0422411412,
            0.0407820418,
            0.0393229425,
            0.0378638431,
            0.0364047438,
            0.0349456444,
            0.0334865451,
            0.0320274457,
            0.0305683482,
            0.0291092508,
            0.0276501514,
            0.026191052,
            0.0251110885,
            0.0243815389,
            0.0236519892,
            0.0229224395,
            0.0221928898,
            0.0214633401,
            0.0207337905,
            0.0200042408,
            0.0192746911,
            0.0185451414,
            0.0178155936,
            0.017086044,
            0.0163564943,
            0.0156269446,
            0.014897394,
            0.0141678443,
            0.0130553292,
            0.0113530466,
            0.00965076499,
            0.00794848241,
            0.00624619983,
            0.00454391725,
            0.00284163468,
            0.00113935303,
            -0.000562929548,
            -0.00226521119,
            -0.00396749377,
            -0.00566977635,
            -0.00737205893,
            -0.00907434151,
            -0.0107766241,
            -0.0124789067,
            -0.0139207719,
            -0.0146503216,
            -0.0153798712,
            -0.0161094218,
            -0.0168389697,
            -0.0175685193,
            -0.018298069,
            -0.0190276187,
            -0.0197571684,
            -0.020486718,
            -0.0212162677,
            -0.0219458174,
            -0.0226753671,
            -0.0234049167,
            -0.0241344664,
            -0.0248640161,
            -0.0255935658,
            -0.0263231155,
            -0.0270526651,
            -0.0277822148,
            -0.0285117645,
            -0.0292413142,
            -0.029970862,
            -0.0307004116,
            -0.0314299613,
            -0.032159511,
            -0.0328890607,
            -0.0336186104,
            -0.03434816,
            -0.0350777097,
            -0.0358072594,
            -0.0365368091,
            -0.0372663587,
            -0.0379959084,
            -0.0387254581,
            -0.0394550078,
            -0.0401845574,
            -0.0409141071,
            -0.0416436568,
            -0.0423732065,
            -0.0431027561,
            -0.0438323058,
            -0.0445618555,
            -0.0452914052,
            -0.0460209548,
            -0.0467505045,
            -0.0474800542,
            -0.0482096039,
            -0.0489391536,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0485542715,
            -0.0478247218,
            -0.0470951721,
            -0.0463656224,
            -0.0456360728,
            -0.0449065231,
            -0.0441769734,
            -0.0434474237,
            -0.0427178741,
            -0.0419883244,
            -0.0412587747,
            -0.040529225,
            -0.0397996753,
            -0.0390701294,
            -0.038340576,
            -0.03761103,
            -0.0376282632,
            -0.0383578092,
            -0.0390873589,
            -0.0398169085,
            -0.0405464582,
            -0.0412760079,
            -0.0420055576,
            -0.0427351072,
            -0.0434646569,
            -0.0441942066,
            -0.0449237563,
            -0.0456533059,
            -0.0463828556,
            -0.0471124053,
            -0.047841955,
            -0.0485715047,
            -0.0493010543,
            -0.050030604,
            -0.0507601537,
            -0.0514897034,
            -0.052219253,
            -0.0529488027,
            -0.0536783524,
            -0.0544079021,
            -0.0551374517,
            -0.0558670014,
            -0.0565965511,
            -0.0573261008,
            -0.0580556504,
            -0.0587852001,
            -0.0595147498,
            -0.0602442995,
            -0.0610370375,
            -0.0620097704,
            -0.0629824996,
            -0.0639552325,
            -0.0649279654,
            -0.0659006983,
            -0.0668734312,
            -0.0678461641,
            -0.068818897,
            -0.0697916299,
            -0.0707643628,
            -0.0717370957,
            -0.0727098286,
            -0.0736825615,
            -0.0746552944,
            -0.0756280273,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764762983,
            -0.0772058517,
            -0.0779353976,
            -0.0786649436,
            -0.079394497,
            -0.0801240429,
            -0.0808535963,
            -0.0815831423,
            -0.0823126957,
            -0.0830422416,
            -0.083771795,
            -0.084501341,
            -0.0852308944,
            -0.0859604403,
            -0.0866899937,
            -0.0874195397,
            -0.0881490931,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0887867287,
            -0.0895162821,
            -0.090245828,
            -0.0909753814,
            -0.0917049274,
            -0.0924344808,
            -0.0931640267,
            -0.0938935801,
            -0.0946231261,
            -0.0953526795,
            -0.0960822254,
            -0.0968117714,
            -0.0975413248,
            -0.0982708782,
            -0.0990004241,
            -0.0997299701,
            -0.100459523,
            -0.101189069,
            -0.101918615,
            -0.102648169,
            -0.103377715,
            -0.104107261,
            -0.104836807,
            -0.105566353,
            -0.106295906,
            -0.107025452,
            -0.107754998,
            -0.108484544,
            -0.109214097,
            -0.109943643,
            -0.110673189,
            -0.111402735,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.112040378,
            -0.112769924,
            -0.113499478,
            -0.114229031,
            -0.114958584,
            -0.11568813,
            -0.116417684,
            -0.117147237,
            -0.11787679,
            -0.118606336,
            -0.11933589,
            -0.120065443,
            -0.120794997,
            -0.121524543,
            -0.122254096,
            -0.122983649,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375
          ],
          [
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.12437956,
            -0.125352293,
            -0.126325026,
            -0.127297759,
            -0.128270492,
            -0.12924324,
            -0.130215973,
            -0.131188706,
            -0.132161438,
            -0.133134171,
            -0.134106904,
            -0.135079637,
            -0.13605237,
            -0.137025118,
            -0.137997851,
            -0.138970584,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.138610587,
            -0.137637854,
            -0.136665121,
            -0.135692388,
            -0.134719655,
            -0.133746922,
            -0.132774189,
            -0.131801456,
            -0.130828708,
            -0.129855976,
            -0.128883243,
            -0.12791051,
            -0.126937777,
            -0.125965044,
            -0.124992304,
            -0.124019571,
            -0.122805573,
            -0.121346474,
            -0.119887374,
            -0.118428275,
            -0.116969176,
            -0.115510076,
            -0.114050977,
            -0.112591878,
            -0.111132778,
            -0.109673679,
            -0.10821458,
            -0.10675548,
            -0.105296381,
            -0.103837281,
            -0.102378182,
            -0.100919083,
            -0.0997299701,
            -0.0990004241,
            -0.0982708707,
            -0.0975413248,
            -0.0968117714,
            -0.0960822254,
            -0.0953526795,
            -0.0946231261,
            -0.0938935801,
            -0.0931640267,
            -0.0924344808,
            -0.0917049274,
            -0.0909753814,
            -0.090245828,
            -0.0895162821,
            -0.0887867287,
            -0.0880571827,
            -0.0873276293,
            -0.0865980834,
            -0.08586853,
            -0.085138984,
            -0.0844094306,
            -0.0836798847,
            -0.0829503313,
            -0.0822207853,
            -0.0814912319,
            -0.080761686,
            -0.0800321326,
            -0.0793025866,
            -0.0785730332,
            -0.0778434873,
            -0.0771139339,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0757505819,
            -0.074777849,
            -0.0738051161,
            -0.0728323832,
            -0.0718596503,
            -0.0708869174,
            -0.0699141845,
            -0.0689414516,
            -0.0679687187,
            -0.0669959858,
            -0.0660232529,
            -0.06505052,
            -0.0640777871,
            -0.0631050542,
            -0.0621323213,
            -0.0611595884,
            -0.0603362098,
            -0.0596066602,
            -0.0588771105,
            -0.0581475608,
            -0.0574180111,
            -0.0566884615,
            -0.0559589118,
            -0.0552293621,
            -0.0544998124,
            -0.0537702627,
            -0.0530407131,
            -0.0523111671,
            -0.0515816137,
            -0.0508520678,
            -0.0501225144,
            -0.0493929684,
            -0.0486634187,
            -0.0479338691,
            -0.0472043194,
            -0.0464747697,
            -0.04574522,
            -0.0450156704,
            -0.0442861207,
            -0.043556571,
            -0.0428270213,
            -0.0420974717,
            -0.041367922,
            -0.0406383723,
            -0.0399088226,
            -0.0391792729,
            -0.0384497233,
            -0.0377201736,
            -0.0367263779,
            -0.0352672786,
            -0.0338081792,
            -0.0323490798,
            -0.0308899805,
            -0.0294308811,
            -0.0279717818,
            -0.0265126824,
            -0.0250535831,
            -0.0235944837,
            -0.0221353844,
            -0.0206762869,
            -0.0192171875,
            -0.0177580882,
            -0.0162989888,
            -0.0148398895,
            -0.0133233452,
            -0.0116210636,
            -0.009918781,
            -0.00821649842,
            -0.00651421631,
            -0.0048119342,
            -0.00310965162,
            -0.00140736904,
            0.000294913538,
            0.00199719518,
            0.00369947776,
            0.00540176034,
            0.00710404292,
            0.0088063255,
            0.0105086081,
            0.0122108907,
            0.0138059417,
            0.0145354914,
            0.015265041,
            0.0159945898,
            0.0167241395,
            0.0174536891,
            0.0181832388,
            0.0189127885,
            0.0196423382,
            0.0203718878,
            0.0211014375,
            0.0218309872,
            0.0225605369,
            0.0232900865,
            0.0240196362,
            0.0247491859,
            0.0254787356,
            0.0262082852,
            0.0269378349,
            0.0276673846,
            0.0283969343,
            0.0291264839,
            0.0298560336,
            0.0305855833,
            0.031315133,
            0.0320446827,
            0.0327742323,
            0.033503782,
            0.0342333317,
            0.0349628814,
            0.035692431,
            0.036421977,
            0.0371515304,
            0.0385072269,
            0.0399663262,
            0.0414254256,
            0.0428845249,
            0.0443436243,
            0.0458027236,
            0.047261823,
            0.0487209223,
            0.0501800217,
            0.051639121,
            0.0530982167,
            0.054557316,
            0.0560164154,
            0.0574755147,
            0.0589346141,
            0.0603937134,
            0.0614966564,
            0.0624693893,
            0.0634421185,
            0.0644148514,
            0.0653875843,
            0.0663603172,
            0.0673330501,
            0.068305783,
            0.0692785159,
            0.0702512488,
            0.0712239817,
            0.0721967146,
            0.0731694475,
            0.0741421804,
            0.0751149133,
            0.0760876462,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0768210292,
            0.0775505751,
            0.0782801285,
            0.0790096745,
            0.0797392279,
            0.0804687738,
            0.0811983272,
            0.0819278732,
            0.0826574266,
            0.0833869725,
            0.0841165259,
            0.0848460719,
            0.0855756253,
            0.0863051713,
            0.0870347172,
            0.0877642706,
            0.088493824,
            0.08922337,
            0.0899529159,
            0.0906824693,
            0.0914120153,
            0.0921415687,
            0.0928711146,
            0.093600668,
            0.094330214,
            0.0950597674,
            0.0957893133,
            0.0965188667,
            0.0972484127,
            0.0979779661,
            0.098707512,
            0.0994370654,
            0.100333206,
            0.101792306,
            0.103251405,
            0.104710504,
            0.106169604,
            0.107628703,
            0.109087795,
            0.110546902,
            0.112005994,
            0.113465101,
            0.114924192,
            0.116383299,
            0.117842391,
            0.119301498,
            0.12076059,
            0.122219689,
            0.123629004,
            0.124601737,
            0.12557447,
            0.126547202,
            0.127519935,
            0.128492668,
            0.129465401,
            0.130438134,
            0.131410867,
            0.1323836,
            0.133356333,
            0.134329066,
            0.135301799,
            0.136274531,
            0.137247264,
            0.138219997,
            0.13919273,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139836118,
            0.140565664,
            0.14129521,
            0.142024755,
            0.142754316,
            0.143483862,
            0.144213408,
            0.144942954,
            0.145672515,
            0.146402061,
            0.147131607,
            0.147861153,
            0.148590714,
            0.14932026,
            0.150049806,
            0.150779352,
            0.151508912,
            0.152238458,
            0.152968019,
            0.153697565,
            0.154427126,
            0.155156672,
            0.155886233,
            0.156615779,
            0.15734534,
            0.158074886,
            0.158804446,
            0.159533992,
            0.160263553,
            0.160993099,
            0.16172266,
            0.162452206,
            0.163618341,
            0.165077433,
            0.166536525,
            0.167995617,
            0.169454724,
            0.170913815,
            0.172372907,
            0.173831999,
            0.175291106,
            0.176750198,
            0.17820929,
            0.179668382,
            0.181127489,
            0.182586581,
            0.184045672,
            0.185504764,
            0.186734095,
            0.187706828,
            0.188679561,
            0.189652294,
            0.190625042,
            0.191597775,
            0.192570508,
            0.19354324,
            0.194515973,
            0.195488721,
            0.196461454,
            0.197434187,
            0.198406935,
            0.199379668,
            0.200352401,
            0.201325133,
            0.202213615,
            0.202943161,
            0.203672707,
            0.204402253,
            0.205131799,
            0.205861345,
            0.206590891,
            0.207320437,
            0.208049983,
            0.208779529,
            0.209509075,
            0.210238621,
            0.210968167,
            0.211697713,
            0.212427258,
            0.213156804,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.21329467,
            0.212565124,
            0.211835578,
            0.211106032,
            0.210376486,
            0.20964694,
            0.208917394,
            0.208187848,
            0.207458302,
            0.206728756,
            0.20599921,
            0.205269665,
            0.204540119,
            0.203810573,
            0.203081027,
            0.202351481,
            0.201508954,
            0.200536221,
            0.199563488,
            0.198590755,
            0.197618008,
            0.196645275,
            0.195672542,
            0.194699809,
            0.193727076,
            0.192754328,
            0.191781595,
            0.190808862,
            0.18983613,
            0.188863382,
            0.187890649,
            0.186917916,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186211333,
            0.185481787,
            0.184752241,
            0.184022695,
            0.183293134,
            0.182563588,
            0.181834042,
            0.181104496,
            0.180374935,
            0.179645389,
            0.178915843,
            0.178186297,
            0.177456737,
            0.176727191,
            0.175997645,
            0.175268099,
            0.174538553,
            0.173809007,
            0.173079461,
            0.172349915,
            0.171620369,
            0.170890823,
            0.170161277,
            0.169431731,
            0.168702185,
            0.167972639,
            0.167243093,
            0.166513547,
            0.165784001,
            0.165054455,
            0.164324909,
            0.163595363,
            0.162865818,
            0.162136257,
            0.161406711,
            0.16067715,
            0.159947604,
            0.159218043,
            0.158488497,
            0.157758936,
            0.15702939,
            0.156299829,
            0.155570284,
            0.154840723,
            0.154111177,
            0.153381616,
            0.15265207,
            0.151922509,
            0.151192963,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150739148,
            0.150009602,
            0.149280041,
            0.148550496,
            0.14782095,
            0.147091404,
            0.146361843,
            0.145632297,
            0.144902751,
            0.144173205,
            0.143443644,
            0.142714098,
            0.141984552,
            0.141255006,
            0.140525445,
            0.139795899,
            0.139016569,
            0.138043836,
            0.137071103,
            0.13609837,
            0.135125637,
            0.134152904,
            0.133180171,
            0.132207438,
            0.131234705,
            0.130261973,
            0.12928924,
            0.128316507,
            0.127343774,
            0.126371041,
            0.125398308,
            0.124425575,
            0.123414546,
            0.121955447,
            0.120496348,
            0.119037248,
            0.117578149,
            0.116119049,
            0.11465995,
            0.113200851,
            0.111741751,
            0.110282652,
            0.108823553,
            0.107364453,
            0.105905354,
            0.104446255,
            0.102987155,
            0.101528056,
            0.100068957,
            0.0986098573,
            0.0971507579,
            0.0956916586,
            0.0942325592,
            0.0927734599,
            0.0913143605,
            0.0898552611,
            0.0883961618,
            0.0869370624,
            0.0854779631,
            0.0840188712,
            0.0825597644,
            0.0811006725,
            0.0796415657,
            0.0781824738,
            0.076723367,
            0.0750632137,
            0.0733609349,
            0.0716586486,
            0.0699563697,
            0.0682540834,
            0.0665518045,
            0.0648495182,
            0.0631472394,
            0.0614449568,
            0.0597426742,
            0.0580403917,
            0.0563381091,
            0.0546358265,
            0.0529335439,
            0.0512312613,
            0.0495289788,
            0.047997117,
            0.0465380177,
            0.0450789183,
            0.043619819,
            0.0421607196,
            0.0407016203,
            0.0392425209,
            0.0377834216,
            0.0363243222,
            0.0348652229,
            0.0334061235,
            0.0319470242,
            0.0304879267,
            0.0290288273,
            0.027569728,
            0.0261106286,
            0.0250708777,
            0.0243413281,
            0.0236117784,
            0.0228822287,
            0.022152679,
            0.0214231294,
            0.0206935797,
            0.01996403,
            0.0192344803,
            0.0185049307,
            0.017775381,
            0.0170458313,
            0.0163162816,
            0.015586732,
            0.0148571823,
            0.0141276335,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0134899952,
            0.0127604455,
            0.0120308958,
            0.0113013461,
            0.0105717964,
            0.00984224677,
            0.00911269709,
            0.00838314835,
            0.00765359867,
            0.006924049,
            0.00619449932,
            0.00546494965,
            0.00473539997,
            0.00400585029,
            0.00327630062,
            0.00254675187,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00201251428,
            0.00274206395,
            0.0034716134,
            0.00420116307,
            0.00493071275,
            0.00566026242,
            0.0063898121,
            0.00711936131,
            0.00784891099,
            0.00857846066,
            0.00930801034,
            0.01003756,
            0.0107671097,
            0.0114966594,
            0.012226209,
            0.0129557578,
            0.0136853075,
            0.0144148571,
            0.0151444068,
            0.0158739574,
            0.0166035071,
            0.0173330568,
            0.0180626065,
            0.0187921543,
            0.0195217039,
            0.0202512536,
            0.0209808033,
            0.021710353,
            0.0224399026,
            0.0231694523,
            0.023899002,
            0.0246285517,
            0.0253581014,
            0.026087651,
            0.0268172007,
            0.0275467504,
            0.0282763001,
            0.0290058497,
            0.0297353994,
            0.0304649472,
            0.0311944969,
            0.0319240466,
            0.0326535963,
            0.0333831459,
            0.0341126956,
            0.0348422453,
            0.035571795,
            0.0363013446,
            0.0370308943,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0375766195,
            0.0383061692,
            0.0390357189,
            0.0397652686,
            0.0404948182,
            0.0412243679,
            0.0419539176,
            0.0426834673,
            0.0434130169,
            0.0441425666,
            0.0448721163,
            0.045601666,
            0.0463312156,
            0.0470607653,
            0.047790315,
            0.0485198647,
            0.0492494144,
            0.049978964,
            0.0507085137,
            0.0514380634,
            0.0521676131,
            0.0528971627,
            0.0536267124,
            0.0543562621,
            0.0550858118,
            0.0558153614,
            0.0565449111,
            0.0572744608,
            0.0580040105,
            0.0587335601,
            0.0594631061,
            0.0601926595,
            0.0609681644,
            0.0619408973,
            0.0629136264,
            0.0638863593,
            0.0648590922,
            0.0658318251,
            0.066804558,
            0.0677772909,
            0.0687500238,
            0.0697227567,
            0.0706954896,
            0.0716682225,
            0.0726409554,
            0.0736136883,
            0.0745864213,
            0.0755591542,
            0.0765165687,
            0.0772461221,
            0.077975668,
            0.0787052214,
            0.0794347674,
            0.0801643208,
            0.0808938667,
            0.0816234201,
            0.0823529661,
            0.083082512,
            0.0838120654,
            0.0845416188,
            0.0852711648,
            0.0860007107,
            0.0867302641,
            0.0874598101,
            0.0881893635,
            0.0889189094,
            0.0896484628,
            0.0903780088,
            0.0911075622,
            0.0918371081,
            0.0925666615,
            0.0932962075,
            0.0940257609,
            0.0947553068,
            0.0954848602,
            0.0962144062,
            0.0969439596,
            0.0976735055,
            0.0984030589,
            0.0991326049,
            0.0998621583,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100499794,
            0.10122934,
            0.101958893,
            0.102688447,
            0.103417993,
            0.104147539,
            0.104877092,
            0.105606638,
            0.106336191,
            0.107065737,
            0.107795291,
            0.108524837,
            0.10925439,
            0.109983936,
            0.110713489,
            0.111443035,
            0.112172589,
            0.112902135,
            0.113631688,
            0.114361234,
            0.115090787,
            0.115820333,
            0.116549887,
            0.117279433,
            0.118008986,
            0.118738532,
            0.119468085,
            0.120197631,
            0.120927185,
            0.121656731,
            0.122386284,
            0.12311583,
            0.124266639,
            0.125968918,
            0.127671212,
            0.129373491,
            0.13107577,
            0.132778049,
            0.134480342,
            0.136182621,
            0.1378849,
            0.139587179,
            0.141289473,
            0.142991751,
            0.14469403,
            0.146396309,
            0.148098588,
            0.149800882,
            0.151428476,
            0.152887583,
            0.154346675,
            0.155805781,
            0.157264873,
            0.15872398,
            0.160183072,
            0.161642179,
            0.163101271,
            0.164560378,
            0.166019469,
            0.167478576,
            0.168937668,
            0.170396775,
            0.171855867,
            0.173314974,
            0.174641952,
            0.175371498,
            0.176101044,
            0.17683059,
            0.177560151,
            0.178289697,
            0.179019243,
            0.179748788,
            0.180478349,
            0.181207895,
            0.181937441,
            0.182666987,
            0.183396548,
            0.184126094,
            0.18485564,
            0.185585186,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.187055781,
            0.188028514,
            0.189001247,
            0.189973995,
            0.190946728,
            0.191919461,
            0.192892194,
            0.193864942,
            0.194837674,
            0.195810407,
            0.19678314,
            0.197755888,
            0.198728621,
            0.199701354,
            0.200674087,
            0.201646835,
            0.20245488,
            0.203184426,
            0.203913972,
            0.204643518,
            0.205373064,
            0.20610261,
            0.206832156,
            0.207561702,
            0.208291247,
            0.209020793,
            0.209750339,
            0.210479885,
            0.211209431,
            0.211938977,
            0.212668523,
            0.213398069,
            0.213323399,
            0.212593853,
            0.211864308,
            0.211134762,
            0.210405216,
            0.20967567,
            0.208946124,
            0.208216578,
            0.207487032,
            0.206757486,
            0.20602794,
            0.205298394,
            0.204568848,
            0.203839302,
            0.203109756,
            0.20238021,
            0.20154725,
            0.200574517,
            0.199601784,
            0.198629051,
            0.197656304,
            0.196683571,
            0.195710838,
            0.194738105,
            0.193765372,
            0.192792624,
            0.191819891,
            0.190847158,
            0.189874426,
            0.188901678,
            0.187928945,
            0.186956212,
            0.186056241,
            0.185326695,
            0.184597135,
            0.183867589,
            0.183138043,
            0.182408497,
            0.181678936,
            0.18094939,
            0.180219844,
            0.179490298,
            0.178760737,
            0.178031191,
            0.177301645,
            0.176572099,
            0.175842538,
            0.175112993,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174475357,
            0.173745811,
            0.173016265,
            0.172286719,
            0.171557173,
            0.170827627,
            0.170098081,
            0.169368535,
            0.168638989,
            0.167909443,
            0.167179897,
            0.166450351,
            0.165720806,
            0.16499126,
            0.164261714,
            0.163532168,
            0.162802622,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163233459,
            0.163963005,
            0.164692551,
            0.165422097,
            0.166151643,
            0.166881189,
            0.167610735,
            0.168340281,
            0.169069827,
            0.169799373,
            0.170528919,
            0.171258464,
            0.17198801,
            0.172717556,
            0.173447102,
            0.174176648,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174205363,
            0.173475817,
            0.172746271,
            0.172016725,
            0.171287179,
            0.170557633,
            0.169828087,
            0.169098541,
            0.168368995,
            0.167639449,
            0.166909903,
            0.166180357,
            0.165450811,
            0.164721265,
            0.163991719,
            0.163262174,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162624538,
            0.161894992,
            0.161165431,
            0.160435885,
            0.159706324,
            0.158976778,
            0.158247218,
            0.157517672,
            0.156788111,
            0.156058565,
            0.155329004,
            0.154599458,
            0.153869897,
            0.153140351,
            0.15241079,
            0.151681244,
            0.150951684,
            0.150222138,
            0.149492592,
            0.148763046,
            0.1480335,
            0.147303939,
            0.146574393,
            0.145844847,
            0.145115301,
            0.14438574,
            0.143656194,
            0.142926648,
            0.142197102,
            0.141467541,
            0.140737996,
            0.14000845,
            0.139278904,
            0.138327226,
            0.137354493,
            0.13638176,
            0.135409027,
            0.134436294,
            0.133463562,
            0.132490829,
            0.131518096,
            0.130545363,
            0.12957263,
            0.128599897,
            0.127627164,
            0.126654431,
            0.125681698,
            0.124708965,
            0.123736233,
            0.122954987,
            0.122225434,
            0.121495888,
            0.120766334,
            0.120036788,
            0.119307235,
            0.118577689,
            0.117848136,
            0.11711859,
            0.116389036,
            0.11565949,
            0.114929944,
            0.114200391,
            0.113470837,
            0.112741292,
            0.112011746,
            0.111282192,
            0.110552646,
            0.109823093,
            0.109093547,
            0.108363993,
            0.107634448,
            0.106904894,
            0.106175348,
            0.105445795,
            0.104716249,
            0.103986695,
            0.103257149,
            0.102527596,
            0.10179805,
            0.101068497,
            0.100338951,
            0.0996093974,
            0.0988798514,
            0.098150298,
            0.097420752,
            0.0966911986,
            0.0959616527,
            0.0952320993,
            0.0945025533,
            0.0937729999,
            0.093043454,
            0.0923139006,
            0.0915843546,
            0.0908548012,
            0.0901252553,
            0.0893957019,
            0.0886661559,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0880285203,
            0.0872989669,
            0.086569421,
            0.0858398676,
            0.0851103216,
            0.0843807682,
            0.0836512223,
            0.0829216689,
            0.0821921229,
            0.0814625695,
            0.0807330236,
            0.0800034702,
            0.0792739242,
            0.0785443708,
            0.0778148249,
            0.0770852715,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0771312267,
            0.0778607801,
            0.078590326,
            0.0793198794,
            0.0800494254,
            0.0807789788,
            0.0815085247,
            0.0822380781,
            0.0829676241,
            0.0836971775,
            0.0844267234,
            0.0851562768,
            0.0858858228,
            0.0866153762,
            0.0873449221,
            0.0880744755,
            0.0876666158,
            0.0869370624,
            0.0862075165,
            0.0854779631,
            0.0847484171,
            0.0840188637,
            0.0832893178,
            0.0825597644,
            0.0818302184,
            0.081100665,
            0.0803711191,
            0.0796415657,
            0.0789120197,
            0.0781824738,
            0.0774529204,
            0.076723367,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0768554956,
            0.0775850415,
            0.0783145949,
            0.0790441409,
            0.0797736943,
            0.0805032402,
            0.0812327936,
            0.0819623396,
            0.082691893,
            0.0834214389,
            0.0841509923,
            0.0848805383,
            0.0856100917,
            0.0863396376,
            0.087069191,
            0.087798737,
            0.0885282904,
            0.0892578363,
            0.0899873897,
            0.0907169357,
            0.0914464891,
            0.092176035,
            0.092905581,
            0.0936351344,
            0.0943646878,
            0.0950942338,
            0.0958237797,
            0.0965533331,
            0.0972828865,
            0.0980124325,
            0.0987419784,
            0.0994715318,
            0.100201078,
            0.100930631,
            0.101660177,
            0.102389731,
            0.103119276,
            0.10384883,
            0.104578376,
            0.105307929,
            0.106037475,
            0.106767029,
            0.107496575,
            0.108226128,
            0.108955674,
            0.109685227,
            0.110414773,
            0.111144327,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111747496,
            0.111017942,
            0.110288396,
            0.109558851,
            0.108829297,
            0.108099751,
            0.107370198,
            0.106640652,
            0.105911098,
            0.105181552,
            0.104451999,
            0.103722453,
            0.1029929,
            0.102263354,
            0.1015338,
            0.100804254,
            0.100074701,
            0.0993451551,
            0.0986156017,
            0.0978860557,
            0.0971565023,
            0.0964269564,
            0.095697403,
            0.094967857,
            0.0942383036,
            0.0935087577,
            0.0927792042,
            0.0920496583,
            0.0913201049,
            0.0905905589,
            0.0898610055,
            0.0891314596,
            0.0884019062,
            0.086921744,
            0.0852194652,
            0.0835171789,
            0.0818149,
            0.0801126137,
            0.0784103349,
            0.0767080486,
            0.0750057697,
            0.0733034909,
            0.0716012046,
            0.0698989183,
            0.0681966394,
            0.0664943606,
            0.0647920743,
            0.0630897954,
            0.0613875091,
            0.0598422438,
            0.0583831444,
            0.0569240451,
            0.0554649457,
            0.0540058464,
            0.052546747,
            0.0510876477,
            0.0496285483,
            0.048169449,
            0.0467103496,
            0.0452512503,
            0.0437921509,
            0.0423330516,
            0.0408739559,
            0.0394148566,
            0.0379557572,
            0.0364966579,
            0.0350375585,
            0.0335784592,
            0.0321193598,
            0.0306602605,
            0.0292011611,
            0.0277420618,
            0.0262829624,
            0.0248238631,
            0.0233647637,
            0.0219056662,
            0.0204465669,
            0.0189874675,
            0.0175283682,
            0.0160692688,
            0.0146101695,
            0.0130553292,
            0.0113530466,
            0.00965076499,
            0.00794848241,
            0.00624619983,
            0.00454391725,
            0.00284163468,
            0.00113935303,
            -0.000562929548,
            -0.00226521119,
            -0.00396749377,
            -0.00566977635,
            -0.00737205893,
            -0.00907434151,
            -0.0107766241,
            -0.0124789067,
            -0.0139207719,
            -0.0146503216,
            -0.0153798712,
            -0.0161094218,
            -0.0168389697,
            -0.0175685193,
            -0.018298069,
            -0.0190276187,
            -0.0197571684,
            -0.020486718,
            -0.0212162677,
            -0.0219458174,
            -0.0226753671,
            -0.0234049167,
            -0.0241344664,
            -0.0248640161,
            -0.0255935658,
            -0.0263231155,
            -0.0270526651,
            -0.0277822148,
            -0.0285117645,
            -0.0292413142,
            -0.029970862,
            -0.0307004116,
            -0.0314299613,
            -0.032159511,
            -0.0328890607,
            -0.0336186104,
            -0.03434816,
            -0.0350777097,
            -0.0358072594,
            -0.0365368091,
            -0.0372663587,
            -0.0379959084,
            -0.0387254581,
            -0.0394550078,
            -0.0401845574,
            -0.0409141071,
            -0.0416436568,
            -0.0423732065,
            -0.0431027561,
            -0.0438323058,
            -0.0445618555,
            -0.0452914052,
            -0.0460209548,
            -0.0467505045,
            -0.0474800542,
            -0.0482096039,
            -0.0489391536,
            -0.0496687032,
            -0.0503982529,
            -0.0511278026,
            -0.0518573523,
            -0.0525869019,
            -0.0533164516,
            -0.0540459976,
            -0.054775551,
            -0.0555050969,
            -0.0562346503,
            -0.0569641963,
            -0.0576937497,
            -0.0584232956,
            -0.0591528453,
            -0.059882395,
            -0.0606119446,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0603189766,
            -0.059589427,
            -0.0588598773,
            -0.0581303276,
            -0.0574007779,
            -0.0566712283,
            -0.0559416786,
            -0.0552121289,
            -0.0544825792,
            -0.0537530296,
            -0.0530234799,
            -0.0522939302,
            -0.0515643805,
            -0.0508348346,
            -0.0501052812,
            -0.0493757352,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.049209144,
            -0.0499386936,
            -0.0506682433,
            -0.051397793,
            -0.0521273427,
            -0.0528568923,
            -0.053586442,
            -0.0543159917,
            -0.0550455414,
            -0.0557750911,
            -0.056504637,
            -0.0572341904,
            -0.0579637364,
            -0.0586932898,
            -0.0594228357,
            -0.0601523891,
            -0.0609144904,
            -0.0618872195,
            -0.0628599524,
            -0.0638326854,
            -0.0648054183,
            -0.0657781512,
            -0.0667508841,
            -0.067723617,
            -0.0686963499,
            -0.0696690828,
            -0.0706418157,
            -0.0716145486,
            -0.0725872815,
            -0.0735600144,
            -0.0745327473,
            -0.0755054802,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0771139339,
            -0.0778434873,
            -0.0785730332,
            -0.0793025866,
            -0.0800321326,
            -0.080761686,
            -0.0814912319,
            -0.0822207853,
            -0.0829503313,
            -0.0836798847,
            -0.0844094306,
            -0.085138984,
            -0.08586853,
            -0.0865980834,
            -0.0873276293,
            -0.0880571827,
            -0.0893381983,
            -0.0907972977,
            -0.092256397,
            -0.0937154889,
            -0.0951745883,
            -0.0966336876,
            -0.0980927795,
            -0.0995518789,
            -0.101010978,
            -0.102470078,
            -0.103929169,
            -0.105388269,
            -0.106847368,
            -0.108306468,
            -0.109765559,
            -0.111224659,
            -0.112836942,
            -0.114539228,
            -0.116241515,
            -0.117943801,
            -0.119646087,
            -0.121348374,
            -0.12305066,
            -0.124752946,
            -0.126455233,
            -0.128157526,
            -0.129859805,
            -0.131562099,
            -0.133264378,
            -0.134966671,
            -0.13666895,
            -0.138371229,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139093131,
            -0.138120398,
            -0.137147665,
            -0.136174932,
            -0.135202184,
            -0.134229451,
            -0.133256719,
            -0.132283986,
            -0.131311253,
            -0.13033852,
            -0.129365787,
            -0.128393054,
            -0.127420306,
            -0.126447573,
            -0.12547484,
            -0.124502108
          ],
          [
            -0.139215678,
            -0.139945224,
            -0.14067477,
            -0.141404331,
            -0.142133877,
            -0.142863423,
            -0.143592969,
            -0.144322529,
            -0.145052075,
            -0.145781621,
            -0.146511167,
            -0.147240728,
            -0.147970274,
            -0.14869982,
            -0.149429366,
            -0.150158927,
            -0.150888473,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150526568,
            -0.149797022,
            -0.149067476,
            -0.148337916,
            -0.14760837,
            -0.146878824,
            -0.146149278,
            -0.145419717,
            -0.144690171,
            -0.143960625,
            -0.143231079,
            -0.142501518,
            -0.141771972,
            -0.141042426,
            -0.14031288,
            -0.139583319,
            -0.138733134,
            -0.137760401,
            -0.136787668,
            -0.135814935,
            -0.134842202,
            -0.133869469,
            -0.132896736,
            -0.131924003,
            -0.130951256,
            -0.129978523,
            -0.12900579,
            -0.128033057,
            -0.127060324,
            -0.126087591,
            -0.125114858,
            -0.124142118,
            -0.122989394,
            -0.121530294,
            -0.120071195,
            -0.118612096,
            -0.117152996,
            -0.115693897,
            -0.114234798,
            -0.112775698,
            -0.111316599,
            -0.1098575,
            -0.1083984,
            -0.106939301,
            -0.105480202,
            -0.104021102,
            -0.102562003,
            -0.101102903,
            -0.0998218879,
            -0.0990923345,
            -0.0983627886,
            -0.0976332352,
            -0.0969036892,
            -0.0961741358,
            -0.0954445899,
            -0.0947150365,
            -0.0939854905,
            -0.0932559371,
            -0.0925263911,
            -0.0917968377,
            -0.0910672918,
            -0.0903377384,
            -0.0896081924,
            -0.088878639,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0876952782,
            -0.0869657248,
            -0.0862361789,
            -0.0855066255,
            -0.0847770795,
            -0.0840475261,
            -0.0833179802,
            -0.0825884342,
            -0.0818588808,
            -0.0811293274,
            -0.0803997815,
            -0.0796702355,
            -0.0789406821,
            -0.0782111287,
            -0.0774815828,
            -0.0767520368,
            -0.0758731291,
            -0.0749003962,
            -0.0739276633,
            -0.0729549304,
            -0.0719821975,
            -0.0710094646,
            -0.0700367317,
            -0.0690639988,
            -0.0680912659,
            -0.067118533,
            -0.0661458001,
            -0.0651730672,
            -0.0642003343,
            -0.0632276013,
            -0.0622548684,
            -0.0612821355,
            -0.0600719638,
            -0.0586128645,
            -0.0571537651,
            -0.0556946658,
            -0.0542355664,
            -0.0527764671,
            -0.0513173714,
            -0.0498582721,
            -0.0483991727,
            -0.0469400734,
            -0.045480974,
            -0.0440218747,
            -0.0425627753,
            -0.041103676,
            -0.0396445766,
            -0.0381854773,
            -0.0369906239,
            -0.0362610742,
            -0.0355315246,
            -0.0348019749,
            -0.0340724252,
            -0.0333428755,
            -0.0326133259,
            -0.0318837762,
            -0.0311542265,
            -0.0304246768,
            -0.0296951272,
            -0.0289655775,
            -0.0282360278,
            -0.0275064781,
            -0.0267769285,
            -0.0260473788,
            -0.0250880513,
            -0.0233857688,
            -0.0216834862,
            -0.0199812036,
            -0.018278921,
            -0.0165766403,
            -0.0148743568,
            -0.0131720742,
            -0.0114697916,
            -0.00976751,
            -0.00806522742,
            -0.00636294484,
            -0.00466066226,
            -0.00295837969,
            -0.00125609711,
            0.00044618547,
            0.00204123673,
            0.00277078641,
            0.00350033585,
            0.00422988553,
            0.0049594352,
            0.00568898488,
            0.00641853455,
            0.00714808377,
            0.00787763298,
            0.00860718265,
            0.00933673233,
            0.010066282,
            0.0107958317,
            0.0115253814,
            0.012254931,
            0.0129844807,
            0.0137140304,
            0.0144435801,
            0.0151731297,
            0.0159026794,
            0.0166322291,
            0.0173617788,
            0.0180913284,
            0.0188208781,
            0.0195504278,
            0.0202799775,
            0.0210095271,
            0.0217390768,
            0.0224686265,
            0.0231981762,
            0.023927724,
            0.0246572737,
            0.0253868233,
            0.026116373,
            0.0268459227,
            0.0275754724,
            0.028305022,
            0.0290345717,
            0.0297641214,
            0.0304936711,
            0.0312232208,
            0.0319527686,
            0.0326823182,
            0.0334118679,
            0.0341414176,
            0.0348709673,
            0.0356005169,
            0.0363300666,
            0.0370596163,
            0.037789166,
            0.0385187156,
            0.0392482653,
            0.039977815,
            0.0407073647,
            0.0414369144,
            0.042166464,
            0.0428960137,
            0.0436255634,
            0.0443551131,
            0.0450846627,
            0.0458142124,
            0.0465437621,
            0.0472733118,
            0.0480028614,
            0.0487324111,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0493700467,
            0.0500995964,
            0.0508291461,
            0.0515586957,
            0.0522882454,
            0.0530177951,
            0.0537473448,
            0.0544768944,
            0.0552064441,
            0.0559359938,
            0.0566655435,
            0.0573950931,
            0.0581246428,
            0.0588541925,
            0.0595837422,
            0.0603132918,
            0.0616460145,
            0.0640778467,
            0.066509679,
            0.0689415112,
            0.0713733435,
            0.0738051683,
            0.076237008,
            0.0786688328,
            0.0811006725,
            0.0835324973,
            0.0859643295,
            0.0883961618,
            0.090827994,
            0.0932598263,
            0.0956916586,
            0.0981234908,
            0.100333206,
            0.101792306,
            0.103251405,
            0.104710504,
            0.106169604,
            0.107628703,
            0.109087795,
            0.110546902,
            0.112005994,
            0.113465101,
            0.114924192,
            0.116383299,
            0.117842391,
            0.119301498,
            0.12076059,
            0.122219689,
            0.123629004,
            0.124601737,
            0.12557447,
            0.126547202,
            0.127519935,
            0.128492668,
            0.129465401,
            0.130438134,
            0.131410867,
            0.1323836,
            0.133356333,
            0.134329066,
            0.135301799,
            0.136274531,
            0.137247264,
            0.138219997,
            0.13919273,
            0.138265952,
            0.13729322,
            0.136320487,
            0.135347754,
            0.134375021,
            0.133402288,
            0.132429555,
            0.131456822,
            0.130484089,
            0.129511356,
            0.128538623,
            0.127565891,
            0.126593158,
            0.125620425,
            0.124647692,
            0.123674959,
            0.124356642,
            0.125329375,
            0.126302108,
            0.127274841,
            0.128247574,
            0.129220307,
            0.13019304,
            0.131165773,
            0.132138506,
            0.133111238,
            0.134083971,
            0.135056704,
            0.136029437,
            0.13700217,
            0.137974903,
            0.138947636,
            0.140272692,
            0.141731799,
            0.143190905,
            0.144649997,
            0.146109104,
            0.147568211,
            0.149027318,
            0.15048641,
            0.151945516,
            0.153404623,
            0.15486373,
            0.156322822,
            0.157781929,
            0.159241036,
            0.160700142,
            0.162159234,
            0.163618341,
            0.165077433,
            0.166536525,
            0.167995617,
            0.169454724,
            0.170913815,
            0.172372907,
            0.173831999,
            0.175291106,
            0.176750198,
            0.17820929,
            0.179668382,
            0.181127489,
            0.182586581,
            0.184045672,
            0.185504764,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186611533,
            0.187584281,
            0.188557014,
            0.189529747,
            0.19050248,
            0.191475227,
            0.19244796,
            0.193420693,
            0.194393426,
            0.195366174,
            0.196338907,
            0.19731164,
            0.198284373,
            0.19925712,
            0.200229853,
            0.201202586,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.202029794,
            0.20275934,
            0.203488886,
            0.204218432,
            0.204947978,
            0.205677524,
            0.20640707,
            0.207136616,
            0.207866162,
            0.208595708,
            0.209325254,
            0.2100548,
            0.210784346,
            0.211513892,
            0.212243438,
            0.212972984,
            0.21370253,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.214340165,
            0.215069711,
            0.215799272,
            0.216528818,
            0.217258364,
            0.21798791,
            0.218717471,
            0.219447017,
            0.220176563,
            0.220906109,
            0.221635669,
            0.222365215,
            0.223094761,
            0.223824307,
            0.224553868,
            0.225283414,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225059375,
            0.224329829,
            0.223600283,
            0.222870722,
            0.222141176,
            0.221411631,
            0.220682085,
            0.219952524,
            0.219222978,
            0.218493432,
            0.217763886,
            0.217034325,
            0.216304779,
            0.215575233,
            0.214845687,
            0.214116126,
            0.212934688,
            0.211232394,
            0.209530115,
            0.207827836,
            0.206125557,
            0.204423279,
            0.202720985,
            0.201018706,
            0.199316427,
            0.197614148,
            0.195911855,
            0.194209576,
            0.192507297,
            0.190805018,
            0.189102724,
            0.187400445,
            0.186603874,
            0.187576622,
            0.188549355,
            0.189522088,
            0.19049482,
            0.191467568,
            0.192440301,
            0.193413034,
            0.194385767,
            0.195358515,
            0.196331248,
            0.197303981,
            0.198276713,
            0.199249461,
            0.200222194,
            0.201194927,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201876611,
            0.200903878,
            0.19993113,
            0.198958397,
            0.197985664,
            0.197012931,
            0.196040183,
            0.19506745,
            0.194094718,
            0.193121985,
            0.192149252,
            0.191176504,
            0.190203771,
            0.189231038,
            0.18825829,
            0.187285557,
            0.186312824,
            0.185573697,
            0.184844151,
            0.184114605,
            0.183385059,
            0.182655498,
            0.181925952,
            0.181196406,
            0.180466861,
            0.1797373,
            0.179007754,
            0.178278208,
            0.177548662,
            0.176819101,
            0.176089555,
            0.175360009,
            0.174630463,
            0.173900917,
            0.173171371,
            0.172441825,
            0.171712279,
            0.170982733,
            0.170253187,
            0.169523641,
            0.168794096,
            0.16806455,
            0.167335004,
            0.166605458,
            0.165875912,
            0.165146366,
            0.16441682,
            0.163687274,
            0.162957728,
            0.162228167,
            0.161498621,
            0.16076906,
            0.160039514,
            0.159309953,
            0.158580408,
            0.157850847,
            0.157121301,
            0.15639174,
            0.155662194,
            0.154932633,
            0.154203087,
            0.153473526,
            0.15274398,
            0.152014419,
            0.151284873,
            0.151405513,
            0.152135059,
            0.15286462,
            0.153594166,
            0.154323727,
            0.155053273,
            0.155782834,
            0.15651238,
            0.15724194,
            0.157971486,
            0.158701032,
            0.159430593,
            0.160160154,
            0.1608897,
            0.161619246,
            0.162348807,
            0.162412003,
            0.161682442,
            0.160952896,
            0.160223335,
            0.159493789,
            0.158764228,
            0.158034682,
            0.157305121,
            0.156575575,
            0.155846015,
            0.155116469,
            0.154386908,
            0.153657362,
            0.152927801,
            0.152198255,
            0.151468694,
            0.150417447,
            0.148715168,
            0.147012889,
            0.145310611,
            0.143608317,
            0.141906038,
            0.140203759,
            0.13850148,
            0.136799201,
            0.135096908,
            0.133394629,
            0.13169235,
            0.129990071,
            0.128287777,
            0.126585498,
            0.12488322,
            0.12338008,
            0.122650526,
            0.121920981,
            0.121191427,
            0.120461881,
            0.119732328,
            0.119002782,
            0.118273228,
            0.117543682,
            0.116814129,
            0.116084583,
            0.11535503,
            0.114625484,
            0.11389593,
            0.113166384,
            0.112436831,
            0.111649841,
            0.110190742,
            0.108731642,
            0.107272543,
            0.105813444,
            0.104354344,
            0.102895245,
            0.101436146,
            0.0999770463,
            0.0985179469,
            0.0970588475,
            0.0955997482,
            0.0941406488,
            0.0926815495,
            0.0912224501,
            0.0897633508,
            0.0883042514,
            0.0875402391,
            0.0868106857,
            0.0860811397,
            0.0853515863,
            0.0846220404,
            0.083892487,
            0.083162941,
            0.0824333876,
            0.0817038417,
            0.0809742883,
            0.0802447423,
            0.0795151889,
            0.078785643,
            0.0780560896,
            0.0773265436,
            0.0765969902,
            0.0744600445,
            0.0720282122,
            0.06959638,
            0.0671645477,
            0.0647327155,
            0.0623008832,
            0.059869051,
            0.0574372187,
            0.0550053865,
            0.0525735542,
            0.050141722,
            0.0477098897,
            0.0452780575,
            0.0428462289,
            0.0404143967,
            0.0379825644,
            0.0367436707,
            0.036014121,
            0.0352845713,
            0.0345550217,
            0.033825472,
            0.0330959223,
            0.0323663726,
            0.031636823,
            0.0309072733,
            0.0301777236,
            0.0294481739,
            0.0287186243,
            0.0279890746,
            0.0272595249,
            0.0265299752,
            0.0258004256,
            0.0250708777,
            0.0243413281,
            0.0236117784,
            0.0228822287,
            0.022152679,
            0.0214231294,
            0.0206935797,
            0.01996403,
            0.0192344803,
            0.0185049307,
            0.017775381,
            0.0170458313,
            0.0163162816,
            0.015586732,
            0.0148571823,
            0.0141276335,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0134899952,
            0.0127604455,
            0.0120308958,
            0.0113013461,
            0.0105717964,
            0.00984224677,
            0.00911269709,
            0.00838314835,
            0.00765359867,
            0.006924049,
            0.00619449932,
            0.00546494965,
            0.00473539997,
            0.00400585029,
            0.00327630062,
            0.00254675187,
            0.00210442604,
            0.00283397571,
            0.00356352516,
            0.00429307483,
            0.00502262451,
            0.00575217418,
            0.00648172386,
            0.00721127307,
            0.00794082321,
            0.00867037289,
            0.00939992256,
            0.0101294713,
            0.010859021,
            0.0115885707,
            0.0123181203,
            0.01304767,
            0.0137772197,
            0.0145067694,
            0.015236319,
            0.0159658678,
            0.0166954175,
            0.0174249671,
            0.0181545168,
            0.0188840665,
            0.0196136162,
            0.0203431658,
            0.0210727155,
            0.0218022652,
            0.0225318149,
            0.0232613645,
            0.0239909142,
            0.0247204639,
            0.0254500136,
            0.0261795633,
            0.0269091129,
            0.0276386626,
            0.0283682123,
            0.029097762,
            0.0298273116,
            0.0305568594,
            0.031286411,
            0.0320159607,
            0.0327455103,
            0.0334750563,
            0.0342046097,
            0.0349341556,
            0.035663709,
            0.036393255,
            0.0371228084,
            0.0378523543,
            0.038581904,
            0.0393114537,
            0.0400410034,
            0.0407705531,
            0.0415001027,
            0.0422296524,
            0.0429592021,
            0.0436887518,
            0.0444183014,
            0.0451478511,
            0.0458774008,
            0.0466069505,
            0.0473365001,
            0.0480660498,
            0.0487955995,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0494332388,
            0.0501627885,
            0.0508923382,
            0.0516218878,
            0.0523514375,
            0.0530809872,
            0.0538105369,
            0.0545400828,
            0.0552696362,
            0.0559991822,
            0.0567287356,
            0.0574582815,
            0.0581878349,
            0.0589173809,
            0.0596469305,
            0.0603764802,
            0.0612132624,
            0.0621859953,
            0.0631587282,
            0.0641314611,
            0.065104194,
            0.0660769269,
            0.0670496598,
            0.0680223927,
            0.0689951256,
            0.0699678585,
            0.0709405914,
            0.0719133243,
            0.0728860572,
            0.0738587901,
            0.074831523,
            0.0758042559,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.076608479,
            0.0773380324,
            0.0780675784,
            0.0787971318,
            0.0795266777,
            0.0802562311,
            0.0809857771,
            0.0817153305,
            0.0824448764,
            0.0831744298,
            0.0839039758,
            0.0846335292,
            0.0853630751,
            0.0860926285,
            0.0868221745,
            0.0875517279,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0889189094,
            0.0896484628,
            0.0903780088,
            0.0911075622,
            0.0918371081,
            0.0925666615,
            0.0932962075,
            0.0940257609,
            0.0947553068,
            0.0954848602,
            0.0962144062,
            0.0969439596,
            0.0976735055,
            0.0984030589,
            0.0991326049,
            0.0998621583,
            0.100591704,
            0.101321258,
            0.102050804,
            0.102780357,
            0.103509903,
            0.104239456,
            0.104969002,
            0.105698556,
            0.106428102,
            0.107157655,
            0.107887201,
            0.108616754,
            0.1093463,
            0.110075846,
            0.1108054,
            0.111534953,
            0.112264499,
            0.112994045,
            0.113723598,
            0.114453152,
            0.115182698,
            0.115912244,
            0.116641797,
            0.117371343,
            0.118100896,
            0.118830442,
            0.119559996,
            0.120289542,
            0.121019095,
            0.121748641,
            0.122478195,
            0.12320774,
            0.124481104,
            0.126183391,
            0.127885669,
            0.129587948,
            0.131290227,
            0.132992521,
            0.1346948,
            0.136397079,
            0.138099357,
            0.139801651,
            0.14150393,
            0.143206209,
            0.144908488,
            0.146610767,
            0.14831306,
            0.150015339,
            0.151296362,
            0.152025908,
            0.152755469,
            0.153485015,
            0.154214576,
            0.154944122,
            0.155673683,
            0.156403229,
            0.157132789,
            0.157862335,
            0.158591896,
            0.159321442,
            0.160051003,
            0.160780549,
            0.16151011,
            0.162239656,
            0.162969217,
            0.163698763,
            0.164428309,
            0.165157855,
            0.165887401,
            0.166616946,
            0.167346492,
            0.168076038,
            0.168805584,
            0.16953513,
            0.170264676,
            0.170994222,
            0.171723768,
            0.172453314,
            0.17318286,
            0.173912406,
            0.174641952,
            0.175371498,
            0.176101044,
            0.17683059,
            0.177560151,
            0.178289697,
            0.179019243,
            0.179748788,
            0.180478349,
            0.181207895,
            0.181937441,
            0.182666987,
            0.183396548,
            0.184126094,
            0.18485564,
            0.185585186,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186933234,
            0.187905967,
            0.1888787,
            0.189851448,
            0.190824181,
            0.191796914,
            0.192769647,
            0.193742394,
            0.194715127,
            0.19568786,
            0.196660593,
            0.197633326,
            0.198606074,
            0.199578807,
            0.20055154,
            0.201524273,
            0.201424703,
            0.20045197,
            0.199479237,
            0.198506504,
            0.197533756,
            0.196561024,
            0.195588291,
            0.194615558,
            0.19364281,
            0.192670077,
            0.191697344,
            0.190724611,
            0.189751863,
            0.188779131,
            0.187806398,
            0.186833665,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186148152,
            0.185418606,
            0.184689045,
            0.183959499,
            0.183229953,
            0.182500407,
            0.181770846,
            0.1810413,
            0.180311754,
            0.179582208,
            0.178852648,
            0.178123102,
            0.177393556,
            0.17666401,
            0.175934449,
            0.175204903,
            0.174475357,
            0.173745811,
            0.173016265,
            0.172286719,
            0.171557173,
            0.170827627,
            0.170098081,
            0.169368535,
            0.168638989,
            0.167909443,
            0.167179897,
            0.166450351,
            0.165720806,
            0.16499126,
            0.164261714,
            0.163532168,
            0.162802622,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162440717,
            0.161711171,
            0.16098161,
            0.160252064,
            0.159522504,
            0.158792958,
            0.158063397,
            0.157333851,
            0.15660429,
            0.155874744,
            0.155145183,
            0.154415637,
            0.153686076,
            0.15295653,
            0.15222697,
            0.151497424,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150314048,
            0.149584502,
            0.148854956,
            0.14812541,
            0.147395849,
            0.146666303,
            0.145936757,
            0.145207211,
            0.144477651,
            0.143748105,
            0.143018559,
            0.142289013,
            0.141559452,
            0.140829906,
            0.14010036,
            0.139370814,
            0.138449773,
            0.13747704,
            0.136504307,
            0.135531574,
            0.134558842,
            0.133586109,
            0.132613376,
            0.131640643,
            0.13066791,
            0.129695177,
            0.128722444,
            0.127749711,
            0.126776978,
            0.125804245,
            0.12483152,
            0.123858787,
            0.123046897,
            0.122317351,
            0.121587798,
            0.120858252,
            0.120128699,
            0.119399153,
            0.118669599,
            0.117940053,
            0.1172105,
            0.116480954,
            0.115751401,
            0.115021855,
            0.114292301,
            0.113562755,
            0.112833202,
            0.112103656,
            0.111374103,
            0.110644557,
            0.109915003,
            0.109185457,
            0.108455904,
            0.107726358,
            0.106996804,
            0.106267259,
            0.105537705,
            0.104808159,
            0.104078606,
            0.10334906,
            0.102619506,
            0.10188996,
            0.101160407,
            0.100430861,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0998851359,
            0.0991555825,
            0.0984260365,
            0.0976964831,
            0.0969669372,
            0.0962373838,
            0.0955078378,
            0.0947782844,
            0.0940487385,
            0.0933191851,
            0.0925896391,
            0.0918600857,
            0.0911305398,
            0.0904009864,
            0.0896714404,
            0.088941887,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0876666158,
            0.0869370624,
            0.0862075165,
            0.0854779631,
            0.0847484171,
            0.0840188637,
            0.0832893178,
            0.0825597644,
            0.0818302184,
            0.081100665,
            0.0803711191,
            0.0796415657,
            0.0789120197,
            0.0781824738,
            0.0774529204,
            0.076723367,
            0.0769474059,
            0.0776769519,
            0.0784065053,
            0.0791360512,
            0.0798656046,
            0.0805951506,
            0.081324704,
            0.0820542499,
            0.0827838033,
            0.0835133493,
            0.0842429027,
            0.0849724486,
            0.085702002,
            0.086431548,
            0.0871611014,
            0.0878906474,
            0.0886202008,
            0.0893497467,
            0.0900793001,
            0.0908088461,
            0.0915383995,
            0.0922679454,
            0.0929974988,
            0.0937270448,
            0.0944565982,
            0.0951861441,
            0.0959156975,
            0.0966452435,
            0.0973747969,
            0.0981043428,
            0.0988338962,
            0.0995634422,
            0.100292996,
            0.101022542,
            0.101752095,
            0.102481641,
            0.103211194,
            0.10394074,
            0.104670286,
            0.10539984,
            0.106129393,
            0.106858939,
            0.107588485,
            0.108318038,
            0.109047592,
            0.109777138,
            0.110506684,
            0.111236237,
            0.111965783,
            0.112695336,
            0.113424882,
            0.114154436,
            0.114883982,
            0.115613535,
            0.116343081,
            0.117072634,
            0.11780218,
            0.118531734,
            0.11926128,
            0.119990833,
            0.120720379,
            0.121449932,
            0.122179478,
            0.122909032,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123512201,
            0.122782648,
            0.122053102,
            0.121323556,
            0.120594002,
            0.119864456,
            0.119134903,
            0.118405357,
            0.117675804,
            0.116946258,
            0.116216704,
            0.115487158,
            0.114757605,
            0.114028059,
            0.113298506,
            0.11256896,
            0.111839406,
            0.11110986,
            0.110380307,
            0.109650761,
            0.108921207,
            0.108191662,
            0.107462108,
            0.106732562,
            0.106003009,
            0.105273463,
            0.104543909,
            0.103814363,
            0.10308481,
            0.102355264,
            0.101625711,
            0.100896165,
            0.100166611,
            0.098874107,
            0.0974150077,
            0.0959559083,
            0.0944968089,
            0.0930377096,
            0.0915786102,
            0.0901195109,
            0.0886604115,
            0.0872013122,
            0.0857422128,
            0.0842831135,
            0.0828240141,
            0.0813649148,
            0.0799058154,
            0.0784467161,
            0.0769876167,
            0.0753715038,
            0.0736692175,
            0.0719669387,
            0.0702646524,
            0.0685623735,
            0.0668600872,
            0.0651578084,
            0.0634555221,
            0.0617532432,
            0.0600509606,
            0.0583486781,
            0.0566463955,
            0.0549441129,
            0.0532418303,
            0.0515395477,
            0.0498372689,
            0.0482613631,
            0.0468022637,
            0.0453431644,
            0.043884065,
            0.0424249656,
            0.0409658663,
            0.0395067669,
            0.0380476676,
            0.0365885682,
            0.0351294689,
            0.0336703733,
            0.0322112739,
            0.0307521727,
            0.0292930733,
            0.027833974,
            0.0263748746,
            0.0245328099,
            0.0221009776,
            0.0196691453,
            0.0172373131,
            0.0148054827,
            0.0123736504,
            0.00994181819,
            0.00750998594,
            0.00507815368,
            0.00264632329,
            0.00021449104,
            -0.00221734121,
            -0.00464917347,
            -0.00708100572,
            -0.00951283798,
            -0.0119446702,
            -0.0141160842,
            -0.0155751836,
            -0.0170342829,
            -0.0184933823,
            -0.0199524816,
            -0.021411581,
            -0.0228706785,
            -0.0243297778,
            -0.0257888772,
            -0.0272479765,
            -0.0287070759,
            -0.0301661752,
            -0.0316252746,
            -0.0330843739,
            -0.0345434733,
            -0.0360025726,
            -0.0373582691,
            -0.0380878188,
            -0.0388173684,
            -0.0395469181,
            -0.0402764678,
            -0.0410060175,
            -0.0417355672,
            -0.0424651168,
            -0.0431946665,
            -0.0439242162,
            -0.0446537659,
            -0.0453833155,
            -0.0461128652,
            -0.0468424149,
            -0.0475719646,
            -0.0483015142,
            -0.0490310639,
            -0.0497606136,
            -0.0504901633,
            -0.0512197129,
            -0.0519492626,
            -0.0526788123,
            -0.053408362,
            -0.0541379116,
            -0.0548674613,
            -0.055597011,
            -0.0563265607,
            -0.0570561104,
            -0.05778566,
            -0.0585152097,
            -0.0592447594,
            -0.0599743091,
            -0.0607038587,
            -0.0616497844,
            -0.0626225173,
            -0.0635952502,
            -0.0645679832,
            -0.0655407161,
            -0.066513449,
            -0.0674861819,
            -0.0684589148,
            -0.0694316477,
            -0.0704043806,
            -0.0713771135,
            -0.0723498464,
            -0.0733225793,
            -0.0742953122,
            -0.0752680451,
            -0.076240778,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0758501515,
            -0.0748774186,
            -0.0739046857,
            -0.0729319528,
            -0.0719592199,
            -0.070986487,
            -0.0700137541,
            -0.0690410212,
            -0.0680682883,
            -0.0670955554,
            -0.0661228225,
            -0.0651500896,
            -0.0641773567,
            -0.0632046238,
            -0.0622318909,
            -0.061259158,
            -0.060410887,
            -0.0596813411,
            -0.0589517914,
            -0.0582222417,
            -0.057492692,
            -0.0567631423,
            -0.0560335927,
            -0.055304043,
            -0.0545744933,
            -0.0538449436,
            -0.053115394,
            -0.0523858443,
            -0.0516562946,
            -0.0509267449,
            -0.0501971953,
            -0.0494676456,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0491172299,
            -0.0498467796,
            -0.0505763292,
            -0.0513058789,
            -0.0520354286,
            -0.0527649783,
            -0.0534945279,
            -0.0542240776,
            -0.0549536273,
            -0.055683177,
            -0.0564127266,
            -0.0571422763,
            -0.057871826,
            -0.0586013757,
            -0.0593309253,
            -0.060060475,
            -0.0607919395,
            -0.0617646724,
            -0.0627374053,
            -0.0637101382,
            -0.0646828711,
            -0.065655604,
            -0.0666283369,
            -0.0676010698,
            -0.0685738027,
            -0.0695465356,
            -0.0705192685,
            -0.0714920014,
            -0.0724647343,
            -0.0734374672,
            -0.0744102001,
            -0.075382933,
            -0.0763556659,
            -0.0777573213,
            -0.0792164207,
            -0.08067552,
            -0.0821346194,
            -0.0835937113,
            -0.0850528181,
            -0.08651191,
            -0.0879710168,
            -0.0894301087,
            -0.090889208,
            -0.0923483074,
            -0.0938074067,
            -0.0952665061,
            -0.0967256054,
            -0.0981847048,
            -0.0996438041,
            -0.101102903,
            -0.102562003,
            -0.104021102,
            -0.105480202,
            -0.106939301,
            -0.1083984,
            -0.1098575,
            -0.111316599,
            -0.112775698,
            -0.114234798,
            -0.115693897,
            -0.117152996,
            -0.118612096,
            -0.120071195,
            -0.121530294,
            -0.122989394,
            -0.124142118,
            -0.125114858,
            -0.126087591,
            -0.127060324,
            -0.128033057,
            -0.12900579,
            -0.129978523,
            -0.13095127,
            -0.131924003,
            -0.132896736,
            -0.133869469,
            -0.134842202,
            -0.135814935,
            -0.136787668,
            -0.137760401,
            -0.138733134,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139093131,
            -0.138120398,
            -0.137147665,
            -0.136174932,
            -0.135202184,
            -0.134229451,
            -0.133256719,
            -0.132283986,
            -0.131311253,
            -0.13033852,
            -0.129365787,
            -0.128393054,
            -0.127420306,
            -0.126447573,
            -0.12547484,
            -0.124502108
          ],
          [
            -0.150980383,
            -0.151709929,
            -0.152439475,
            -0.153169036,
            -0.153898582,
            -0.154628128,
            -0.155357674,
            -0.156087235,
            -0.156816781,
            -0.157546327,
            -0.158275872,
            -0.159005433,
            -0.159734979,
            -0.160464525,
            -0.161194071,
            -0.161923632,
            -0.162653178,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162291273,
            -0.161561728,
            -0.160832182,
            -0.160102621,
            -0.159373075,
            -0.158643529,
            -0.157913983,
            -0.157184422,
            -0.156454876,
            -0.15572533,
            -0.154995784,
            -0.154266223,
            -0.153536677,
            -0.152807131,
            -0.152077585,
            -0.151348025,
            -0.150618479,
            -0.149888933,
            -0.149159387,
            -0.148429826,
            -0.14770028,
            -0.146970734,
            -0.146241188,
            -0.145511627,
            -0.144782081,
            -0.144052535,
            -0.143322989,
            -0.142593428,
            -0.141863883,
            -0.141134337,
            -0.140404791,
            -0.13967523,
            -0.138855696,
            -0.137882948,
            -0.136910215,
            -0.135937482,
            -0.134964749,
            -0.133992016,
            -0.133019283,
            -0.132046551,
            -0.131073818,
            -0.130101085,
            -0.129128337,
            -0.128155604,
            -0.127182871,
            -0.126210138,
            -0.125237405,
            -0.124264672,
            -0.123351298,
            -0.122621745,
            -0.121892191,
            -0.121162638,
            -0.120433092,
            -0.119703539,
            -0.118973985,
            -0.118244432,
            -0.117514886,
            -0.116785333,
            -0.116055779,
            -0.115326226,
            -0.11459668,
            -0.113867126,
            -0.113137573,
            -0.112408027,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111224659,
            -0.110495113,
            -0.109765567,
            -0.109036013,
            -0.108306468,
            -0.107576922,
            -0.106847376,
            -0.106117822,
            -0.105388276,
            -0.10465873,
            -0.103929184,
            -0.103199631,
            -0.102470085,
            -0.101740539,
            -0.101010993,
            -0.100281447,
            -0.0991038233,
            -0.097644724,
            -0.0961856246,
            -0.0947265252,
            -0.0932674259,
            -0.0918083265,
            -0.0903492272,
            -0.0888901278,
            -0.0874310285,
            -0.0859719291,
            -0.0845128298,
            -0.0830537379,
            -0.0815946311,
            -0.0801355392,
            -0.0786764324,
            -0.0772173405,
            -0.0756395161,
            -0.0739372373,
            -0.072234951,
            -0.0705326721,
            -0.0688303858,
            -0.067128107,
            -0.0654258281,
            -0.0637235418,
            -0.0620212592,
            -0.0603189766,
            -0.0586166941,
            -0.0569144115,
            -0.0552121326,
            -0.0535098463,
            -0.0518075675,
            -0.0501052812,
            -0.0487553291,
            -0.0480257794,
            -0.0472962297,
            -0.0465666801,
            -0.0458371304,
            -0.0451075807,
            -0.044378031,
            -0.0436484814,
            -0.0429189317,
            -0.042189382,
            -0.0414598323,
            -0.0407302827,
            -0.040000733,
            -0.0392711833,
            -0.0385416336,
            -0.037812084,
            -0.0370825343,
            -0.0363529846,
            -0.0356234349,
            -0.0348938853,
            -0.0341643356,
            -0.0334347859,
            -0.03270524,
            -0.0319756866,
            -0.0312461387,
            -0.0305165891,
            -0.0297870394,
            -0.0290574897,
            -0.02832794,
            -0.0275983904,
            -0.0268688407,
            -0.0261392929,
            -0.0254097413,
            -0.0246801917,
            -0.023950642,
            -0.0232210942,
            -0.0224915445,
            -0.0217619948,
            -0.0210324451,
            -0.0203028955,
            -0.0195733458,
            -0.0188437961,
            -0.0181142464,
            -0.0173846968,
            -0.0166551471,
            -0.0159255974,
            -0.0151960477,
            -0.014466498,
            -0.0137369484,
            -0.0127680451,
            -0.0117953122,
            -0.0108225793,
            -0.00984984729,
            -0.00887711439,
            -0.00790438149,
            -0.00693164859,
            -0.00595891569,
            -0.00498618279,
            -0.00401345082,
            -0.00304071791,
            -0.00206798501,
            -0.00109525211,
            -0.00012251921,
            0.000850213692,
            0.00182294659,
            0.00258696289,
            0.00331651233,
            0.00404606201,
            0.00477561168,
            0.00550516136,
            0.00623471104,
            0.00696426025,
            0.00769380992,
            0.00842336006,
            0.00915290974,
            0.00988245849,
            0.0106120082,
            0.0113415578,
            0.0120711075,
            0.0128006572,
            0.0135302069,
            0.0142597565,
            0.0149893062,
            0.015718855,
            0.0164484046,
            0.0171779543,
            0.017907504,
            0.0186370537,
            0.0193666033,
            0.020096153,
            0.0208257027,
            0.0215552524,
            0.022284802,
            0.0230143517,
            0.0237439014,
            0.0244734511,
            0.0252030008,
            0.0259325504,
            0.0266621001,
            0.0273916498,
            0.0281211995,
            0.0288507473,
            0.0295802988,
            0.0303098466,
            0.0310393963,
            0.0317689478,
            0.0324984975,
            0.0332280472,
            0.0339575931,
            0.0346871465,
            0.0354166925,
            0.0361462459,
            0.0368757918,
            0.0376053415,
            0.0383348912,
            0.0390644409,
            0.0397939906,
            0.0405235402,
            0.0412530899,
            0.0419826396,
            0.0427121893,
            0.0434417389,
            0.0441712886,
            0.0449008383,
            0.045630388,
            0.0463599376,
            0.0470894873,
            0.047819037,
            0.0485485867,
            0.0498813093,
            0.0523131378,
            0.0547449701,
            0.0571768023,
            0.0596086346,
            0.0620404668,
            0.0644723028,
            0.0669041276,
            0.0693359673,
            0.0717677921,
            0.0741996244,
            0.0766314566,
            0.0790632889,
            0.0814951211,
            0.0839269534,
            0.0863587856,
            0.0885685012,
            0.0900276005,
            0.0914866999,
            0.0929457992,
            0.0944048986,
            0.0958639979,
            0.0973230898,
            0.0987821966,
            0.100241289,
            0.101700395,
            0.103159487,
            0.104618594,
            0.106077686,
            0.107536793,
            0.108995885,
            0.110454984,
            0.111839406,
            0.11256896,
            0.113298506,
            0.114028059,
            0.114757605,
            0.115487158,
            0.116216704,
            0.116946258,
            0.117675804,
            0.118405357,
            0.119134903,
            0.119864449,
            0.120594002,
            0.121323556,
            0.122053102,
            0.122782648,
            0.123512201,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.124356642,
            0.125329375,
            0.126302108,
            0.127274841,
            0.128247574,
            0.129220307,
            0.13019304,
            0.131165773,
            0.132138506,
            0.133111238,
            0.134083971,
            0.135056704,
            0.136029437,
            0.13700217,
            0.137974903,
            0.138947636,
            0.140272692,
            0.141731799,
            0.143190905,
            0.144649997,
            0.146109104,
            0.147568211,
            0.149027318,
            0.15048641,
            0.151945516,
            0.153404623,
            0.15486373,
            0.156322822,
            0.157781929,
            0.159241036,
            0.160700142,
            0.162159234,
            0.163181752,
            0.163911298,
            0.164640844,
            0.16537039,
            0.166099936,
            0.166829482,
            0.167559028,
            0.168288574,
            0.16901812,
            0.169747666,
            0.170477211,
            0.171206757,
            0.171936303,
            0.172665849,
            0.173395395,
            0.174124941,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174762577,
            0.175492138,
            0.176221684,
            0.17695123,
            0.177680776,
            0.178410321,
            0.179139882,
            0.179869428,
            0.180598974,
            0.18132852,
            0.182058081,
            0.182787627,
            0.183517173,
            0.184246719,
            0.18497628,
            0.185705826,
            0.186488986,
            0.187461734,
            0.188434467,
            0.1894072,
            0.190379933,
            0.191352665,
            0.192325413,
            0.193298146,
            0.194270879,
            0.195243612,
            0.19621636,
            0.197189093,
            0.198161826,
            0.199134558,
            0.200107306,
            0.201080039,
            0.202029794,
            0.20275934,
            0.203488886,
            0.204218432,
            0.204947978,
            0.205677524,
            0.20640707,
            0.207136616,
            0.207866162,
            0.208595708,
            0.209325254,
            0.2100548,
            0.210784346,
            0.211513892,
            0.212243438,
            0.212972984,
            0.21370253,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.214340165,
            0.215069711,
            0.215799272,
            0.216528818,
            0.217258364,
            0.21798791,
            0.218717471,
            0.219447017,
            0.220176563,
            0.220906109,
            0.221635669,
            0.222365215,
            0.223094761,
            0.223824307,
            0.224553868,
            0.225283414,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225059375,
            0.224329829,
            0.223600283,
            0.222870722,
            0.222141176,
            0.221411631,
            0.220682085,
            0.219952524,
            0.219222978,
            0.218493432,
            0.217763886,
            0.217034325,
            0.216304779,
            0.215575233,
            0.214845687,
            0.214116126,
            0.21338658,
            0.212657034,
            0.211927488,
            0.211197942,
            0.210468397,
            0.209738851,
            0.209009305,
            0.208279759,
            0.207550213,
            0.206820667,
            0.206091121,
            0.205361575,
            0.204632029,
            0.203902483,
            0.203172937,
            0.202443391,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201876611,
            0.200903878,
            0.19993113,
            0.198958397,
            0.197985664,
            0.197012931,
            0.196040183,
            0.19506745,
            0.194094718,
            0.193121985,
            0.192149252,
            0.191176504,
            0.190203771,
            0.189231038,
            0.18825829,
            0.187285557,
            0.186312824,
            0.185573697,
            0.184844151,
            0.184114605,
            0.183385059,
            0.182655498,
            0.181925952,
            0.181196406,
            0.180466861,
            0.1797373,
            0.179007754,
            0.178278208,
            0.177548662,
            0.176819101,
            0.176089555,
            0.175360009,
            0.174630463,
            0.173900917,
            0.173171371,
            0.172441825,
            0.171712279,
            0.170982733,
            0.170253187,
            0.169523641,
            0.168794096,
            0.16806455,
            0.167335004,
            0.166605458,
            0.165875912,
            0.165146366,
            0.16441682,
            0.163687274,
            0.162957728,
            0.162228167,
            0.161498621,
            0.16076906,
            0.160039514,
            0.159309953,
            0.158580408,
            0.157850847,
            0.157121301,
            0.15639174,
            0.155662194,
            0.154932633,
            0.154203087,
            0.153473526,
            0.15274398,
            0.152014419,
            0.151284873,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150647238,
            0.149917677,
            0.149188131,
            0.148458585,
            0.147729039,
            0.146999478,
            0.146269932,
            0.145540386,
            0.14481084,
            0.14408128,
            0.143351734,
            0.142622188,
            0.141892642,
            0.141163081,
            0.140433535,
            0.139703989,
            0.138652742,
            0.136950463,
            0.135248184,
            0.133545905,
            0.131843612,
            0.130141333,
            0.128439054,
            0.126736775,
            0.125034496,
            0.123332202,
            0.121629924,
            0.119927645,
            0.118225358,
            0.11652308,
            0.114820793,
            0.113118514,
            0.111466013,
            0.110006914,
            0.108547814,
            0.107088715,
            0.105629623,
            0.104170516,
            0.102711424,
            0.101252317,
            0.0997932255,
            0.0983341262,
            0.0968750268,
            0.0954159275,
            0.0939568281,
            0.0924977288,
            0.0910386294,
            0.0895795301,
            0.0881778747,
            0.0874483213,
            0.0867187753,
            0.0859892219,
            0.085259676,
            0.0845301226,
            0.0838005766,
            0.0830710232,
            0.0823414773,
            0.0816119313,
            0.0808823779,
            0.0801528245,
            0.0794232786,
            0.0786937326,
            0.0779641792,
            0.0772346258,
            0.0765050799,
            0.0755438358,
            0.0745711029,
            0.07359837,
            0.0726256371,
            0.0716529042,
            0.0706801713,
            0.0697074383,
            0.0687347054,
            0.0677619725,
            0.0667892396,
            0.0658165067,
            0.0648437738,
            0.0638710409,
            0.062898308,
            0.0619255789,
            0.060952846,
            0.0595779978,
            0.0581188984,
            0.0566597991,
            0.0552006997,
            0.0537416004,
            0.052282501,
            0.0508234017,
            0.049364306,
            0.0479052067,
            0.0464461073,
            0.044987008,
            0.0435279086,
            0.0420688093,
            0.0406097099,
            0.0391506106,
            0.0376915112,
            0.0367436707,
            0.036014121,
            0.0352845713,
            0.0345550217,
            0.033825472,
            0.0330959223,
            0.0323663726,
            0.031636823,
            0.0309072733,
            0.0301777236,
            0.0294481739,
            0.0287186243,
            0.0279890746,
            0.0272595249,
            0.0265299752,
            0.0258004256,
            0.0250708777,
            0.0243413281,
            0.0236117784,
            0.0228822287,
            0.022152679,
            0.0214231294,
            0.0206935797,
            0.01996403,
            0.0192344803,
            0.0185049307,
            0.017775381,
            0.0170458313,
            0.0163162816,
            0.015586732,
            0.0148571823,
            0.0141276335,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.013869131,
            0.0145986807,
            0.0153282303,
            0.01605778,
            0.0167873297,
            0.0175168794,
            0.018246429,
            0.0189759787,
            0.0197055284,
            0.0204350781,
            0.0211646277,
            0.0218941756,
            0.0226237252,
            0.0233532749,
            0.0240828246,
            0.0248123743,
            0.0255419239,
            0.0262714736,
            0.0270010233,
            0.027730573,
            0.0284601226,
            0.0291896723,
            0.029919222,
            0.0306487717,
            0.0313783213,
            0.032107871,
            0.0328374207,
            0.0335669704,
            0.0342965201,
            0.0350260697,
            0.0357556194,
            0.0364851691,
            0.0372147188,
            0.0379442684,
            0.0386738181,
            0.0394033678,
            0.0401329175,
            0.0408624671,
            0.0415920168,
            0.0423215665,
            0.0430511162,
            0.0437806658,
            0.0445102155,
            0.0452397615,
            0.0459693149,
            0.0466988608,
            0.0474284142,
            0.0481579602,
            0.0488875136,
            0.0496170595,
            0.0503466092,
            0.0510761589,
            0.0518057086,
            0.0525352582,
            0.0532648079,
            0.0539943576,
            0.0547239073,
            0.0554534569,
            0.0561830066,
            0.0569125563,
            0.057642106,
            0.0583716556,
            0.0591012053,
            0.059830755,
            0.0605603047,
            0.0614583604,
            0.0624310933,
            0.0634038225,
            0.0643765554,
            0.0653492883,
            0.0663220212,
            0.0672947541,
            0.068267487,
            0.0692402199,
            0.0702129528,
            0.0711856857,
            0.0721584186,
            0.0731311515,
            0.0741038844,
            0.0750766173,
            0.0760493502,
            0.0768842176,
            0.0776137635,
            0.0783433169,
            0.0790728629,
            0.0798024163,
            0.0805319622,
            0.0812615156,
            0.0819910616,
            0.082720615,
            0.0834501609,
            0.0841797143,
            0.0849092603,
            0.0856388137,
            0.0863683596,
            0.087097913,
            0.087827459,
            0.0885570124,
            0.0892865583,
            0.0900161117,
            0.0907456577,
            0.0914752111,
            0.092204757,
            0.0929343104,
            0.0936638564,
            0.0943934098,
            0.0951229557,
            0.0958525091,
            0.0965820551,
            0.097311601,
            0.0980411544,
            0.0987707078,
            0.0995002538,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100683615,
            0.101413168,
            0.102142714,
            0.102872267,
            0.103601813,
            0.104331367,
            0.105060913,
            0.105790466,
            0.106520012,
            0.107249565,
            0.107979111,
            0.108708665,
            0.109438211,
            0.110167764,
            0.11089731,
            0.111626863,
            0.112356409,
            0.113085963,
            0.113815509,
            0.114545062,
            0.115274608,
            0.116004162,
            0.116733707,
            0.117463261,
            0.118192807,
            0.11892236,
            0.119651906,
            0.12038146,
            0.121111006,
            0.121840551,
            0.122570105,
            0.123299658,
            0.124195792,
            0.125168532,
            0.126141265,
            0.127113998,
            0.128086731,
            0.129059464,
            0.130032197,
            0.13100493,
            0.131977662,
            0.132950395,
            0.133923128,
            0.134895861,
            0.135868594,
            0.136841327,
            0.13781406,
            0.138786793,
            0.140031427,
            0.141490534,
            0.142949626,
            0.144408733,
            0.145867839,
            0.147326946,
            0.148786038,
            0.150245145,
            0.151704252,
            0.153163359,
            0.15462245,
            0.156081557,
            0.157540664,
            0.158999771,
            0.160458863,
            0.16191797,
            0.163061127,
            0.163790673,
            0.164520219,
            0.165249765,
            0.165979311,
            0.166708857,
            0.167438403,
            0.168167949,
            0.168897495,
            0.169627041,
            0.170356587,
            0.171086133,
            0.171815678,
            0.172545224,
            0.17327477,
            0.174004316,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174550042,
            0.175279588,
            0.176009133,
            0.176738679,
            0.17746824,
            0.178197786,
            0.178927332,
            0.179656878,
            0.180386424,
            0.181115985,
            0.181845531,
            0.182575077,
            0.183304638,
            0.184034184,
            0.18476373,
            0.185493276,
            0.186222821,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185688585,
            0.184959039,
            0.184229493,
            0.183499947,
            0.182770386,
            0.18204084,
            0.181311294,
            0.180581748,
            0.179852188,
            0.179122642,
            0.178393096,
            0.17766355,
            0.176934004,
            0.176204443,
            0.175474897,
            0.174745351,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174820021,
            0.175549582,
            0.176279128,
            0.177008674,
            0.177738219,
            0.17846778,
            0.179197326,
            0.179926872,
            0.180656418,
            0.181385964,
            0.182115525,
            0.182845071,
            0.183574617,
            0.184304178,
            0.185033724,
            0.18576327,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186148152,
            0.185418606,
            0.184689045,
            0.183959499,
            0.183229953,
            0.182500407,
            0.181770846,
            0.1810413,
            0.180311754,
            0.179582208,
            0.178852648,
            0.178123102,
            0.177393556,
            0.17666401,
            0.175934449,
            0.175204903,
            0.174475357,
            0.173745811,
            0.173016265,
            0.172286719,
            0.171557173,
            0.170827627,
            0.170098081,
            0.169368535,
            0.168638989,
            0.167909443,
            0.167179897,
            0.166450351,
            0.165720806,
            0.16499126,
            0.164261714,
            0.163532168,
            0.162802622,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162348807,
            0.161619246,
            0.1608897,
            0.160160139,
            0.159430593,
            0.158701032,
            0.157971486,
            0.15724194,
            0.15651238,
            0.155782834,
            0.155053273,
            0.154323727,
            0.153594166,
            0.15286462,
            0.152135059,
            0.151405513,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151101053,
            0.151830599,
            0.15256016,
            0.153289706,
            0.154019266,
            0.154748812,
            0.155478373,
            0.156207919,
            0.15693748,
            0.157667026,
            0.158396587,
            0.159126133,
            0.159855694,
            0.16058524,
            0.1613148,
            0.162044346,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162078813,
            0.161349267,
            0.160619706,
            0.15989016,
            0.159160599,
            0.158431053,
            0.157701492,
            0.156971946,
            0.156242386,
            0.15551284,
            0.154783279,
            0.154053733,
            0.153324172,
            0.152594626,
            0.151865065,
            0.151135519,
            0.150405958,
            0.149676412,
            0.148946866,
            0.14821732,
            0.14748776,
            0.146758214,
            0.146028668,
            0.145299122,
            0.144569561,
            0.143840015,
            0.143110469,
            0.142380923,
            0.141651362,
            0.140921816,
            0.14019227,
            0.139462724,
            0.13857232,
            0.137599587,
            0.136626855,
            0.135654122,
            0.134681389,
            0.133708656,
            0.132735923,
            0.13176319,
            0.130790457,
            0.129817724,
            0.128844991,
            0.127872258,
            0.126899526,
            0.125926793,
            0.124954067,
            0.123981334,
            0.123138808,
            0.122409262,
            0.121679708,
            0.120950162,
            0.120220609,
            0.119491063,
            0.11876151,
            0.118031964,
            0.11730241,
            0.116572864,
            0.115843311,
            0.115113765,
            0.114384212,
            0.113654666,
            0.112925112,
            0.112195566,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111649841,
            0.110920288,
            0.110190742,
            0.109461188,
            0.108731642,
            0.108002089,
            0.107272543,
            0.10654299,
            0.105813444,
            0.10508389,
            0.104354344,
            0.103624791,
            0.102895245,
            0.102165692,
            0.101436146,
            0.100706592,
            0.0999770463,
            0.0992474928,
            0.0985179469,
            0.0977883935,
            0.0970588475,
            0.0963293016,
            0.0955997482,
            0.0948702022,
            0.0941406488,
            0.0934111029,
            0.0926815495,
            0.0919520035,
            0.0912224501,
            0.0904929042,
            0.0897633508,
            0.0890338048,
            0.0883042514,
            0.0875747055,
            0.0868451521,
            0.0861156061,
            0.0853860527,
            0.0846565068,
            0.0839269534,
            0.0831974074,
            0.082467854,
            0.0817383081,
            0.0810087547,
            0.0802792087,
            0.0795496553,
            0.0788201094,
            0.078090556,
            0.07736101,
            0.0766314566,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0769474059,
            0.0776769519,
            0.0784065053,
            0.0791360512,
            0.0798656046,
            0.0805951506,
            0.081324704,
            0.0820542499,
            0.0827838033,
            0.0835133493,
            0.0842429027,
            0.0849724486,
            0.085702002,
            0.086431548,
            0.0871611014,
            0.0878906474,
            0.0886202008,
            0.0893497467,
            0.0900793001,
            0.0908088461,
            0.0915383995,
            0.0922679454,
            0.0929974988,
            0.0937270448,
            0.0944565982,
            0.0951861441,
            0.0959156975,
            0.0966452435,
            0.0973747969,
            0.0981043428,
            0.0988338962,
            0.0995634422,
            0.100292996,
            0.101022542,
            0.101752095,
            0.102481641,
            0.103211194,
            0.10394074,
            0.104670286,
            0.10539984,
            0.106129393,
            0.106858939,
            0.107588485,
            0.108318038,
            0.109047592,
            0.109777138,
            0.110506684,
            0.111236237,
            0.111965783,
            0.112695336,
            0.113424882,
            0.114154436,
            0.114883982,
            0.115613535,
            0.116343081,
            0.117072634,
            0.11780218,
            0.118531734,
            0.11926128,
            0.119990833,
            0.120720379,
            0.121449932,
            0.122179478,
            0.122909032,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.122874565,
            0.122145012,
            0.121415466,
            0.120685913,
            0.119956367,
            0.119226813,
            0.118497267,
            0.117767714,
            0.117038168,
            0.116308615,
            0.115579069,
            0.114849515,
            0.114119969,
            0.113390416,
            0.11266087,
            0.111931317,
            0.110638812,
            0.109179713,
            0.107720613,
            0.106261514,
            0.104802415,
            0.103343315,
            0.101884216,
            0.100425117,
            0.0989660174,
            0.097506918,
            0.0960478187,
            0.0945887193,
            0.09312962,
            0.0916705206,
            0.0902114213,
            0.0887523219,
            0.087136209,
            0.0854339227,
            0.0837316439,
            0.0820293576,
            0.0803270787,
            0.0786247924,
            0.0769225135,
            0.0752202272,
            0.0735179484,
            0.0718156695,
            0.0701133832,
            0.0684110969,
            0.0667088181,
            0.0650065392,
            0.0633042529,
            0.0616019741,
            0.0600260682,
            0.0585669689,
            0.0571078695,
            0.0556487702,
            0.0541896708,
            0.0527305715,
            0.0512714721,
            0.0498123728,
            0.0483532734,
            0.0468941741,
            0.0454350784,
            0.0439759791,
            0.0425168797,
            0.0410577804,
            0.039598681,
            0.0381395817,
            0.036393255,
            0.0342046097,
            0.0320159607,
            0.0298273116,
            0.0276386626,
            0.0254500136,
            0.0232613645,
            0.0210727155,
            0.0188840665,
            0.0166954175,
            0.0145067684,
            0.0123181213,
            0.0101294722,
            0.00794082321,
            0.00575217232,
            0.00356352702,
            0.00130977237,
            -0.00112205953,
            -0.00355389155,
            -0.00598572381,
            -0.00841755513,
            -0.0108493874,
            -0.0132812196,
            -0.015713051,
            -0.0181448832,
            -0.0205767155,
            -0.0230085477,
            -0.02544038,
            -0.0278722104,
            -0.0303040445,
            -0.0327358767,
            -0.0351677053,
            -0.037461672,
            -0.0389207713,
            -0.0403798707,
            -0.04183897,
            -0.0432980694,
            -0.0447571687,
            -0.0462162644,
            -0.0476753637,
            -0.0491344631,
            -0.0505935624,
            -0.0520526618,
            -0.0535117611,
            -0.0549708605,
            -0.0564299598,
            -0.0578890592,
            -0.0593481585,
            -0.0607995987,
            -0.0617723316,
            -0.0627450645,
            -0.0637177974,
            -0.0646905303,
            -0.0656632632,
            -0.0666359961,
            -0.067608729,
            -0.0685814619,
            -0.0695541948,
            -0.0705269277,
            -0.0714996606,
            -0.0724723935,
            -0.0734451264,
            -0.0744178593,
            -0.0753905922,
            -0.0763633251,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0758501515,
            -0.0748774186,
            -0.0739046857,
            -0.0729319528,
            -0.0719592199,
            -0.070986487,
            -0.0700137541,
            -0.0690410212,
            -0.0680682883,
            -0.0670955554,
            -0.0661228225,
            -0.0651500896,
            -0.0641773567,
            -0.0632046238,
            -0.0622318909,
            -0.061259158,
            -0.060410887,
            -0.0596813411,
            -0.0589517914,
            -0.0582222417,
            -0.057492692,
            -0.0567631423,
            -0.0560335927,
            -0.055304043,
            -0.0545744933,
            -0.0538449436,
            -0.053115394,
            -0.0523858443,
            -0.0516562946,
            -0.0509267449,
            -0.0501971953,
            -0.0494676456,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490329787,
            -0.0507352613,
            -0.0524375439,
            -0.0541398264,
            -0.055842109,
            -0.0575443916,
            -0.0592466742,
            -0.0609489568,
            -0.0626512393,
            -0.0643535182,
            -0.0660558045,
            -0.0677580833,
            -0.0694603696,
            -0.0711626485,
            -0.0728649348,
            -0.0745672137,
            -0.0762694925,
            -0.0777573213,
            -0.0792164207,
            -0.08067552,
            -0.0821346194,
            -0.0835937113,
            -0.0850528181,
            -0.08651191,
            -0.0879710168,
            -0.0894301087,
            -0.090889208,
            -0.0923483074,
            -0.0938074067,
            -0.0952665061,
            -0.0967256054,
            -0.0981847048,
            -0.0996438041,
            -0.101102903,
            -0.102562003,
            -0.104021102,
            -0.105480202,
            -0.106939301,
            -0.1083984,
            -0.1098575,
            -0.111316599,
            -0.112775698,
            -0.114234798,
            -0.115693897,
            -0.117152996,
            -0.118612096,
            -0.120071195,
            -0.121530294,
            -0.122989394,
            -0.124142118,
            -0.125114858,
            -0.126087591,
            -0.127060324,
            -0.128033057,
            -0.12900579,
            -0.129978523,
            -0.13095127,
            -0.131924003,
            -0.132896736,
            -0.133869469,
            -0.134842202,
            -0.135814935,
            -0.136787668,
            -0.137760401,
            -0.138733134,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678
          ],
          [
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174147889,
            -0.173418343,
            -0.172688797,
            -0.171959236,
            -0.17122969,
            -0.170500144,
            -0.169770598,
            -0.169041038,
            -0.168311492,
            -0.167581946,
            -0.1668524,
            -0.166122839,
            -0.165393293,
            -0.164663747,
            -0.163934201,
            -0.16320464,
            -0.162475094,
            -0.161745548,
            -0.161016002,
            -0.160286456,
            -0.159556895,
            -0.15882735,
            -0.158097804,
            -0.157368243,
            -0.156638697,
            -0.155909151,
            -0.155179605,
            -0.154450059,
            -0.153720498,
            -0.152990952,
            -0.152261406,
            -0.15153186,
            -0.150802299,
            -0.150072753,
            -0.149343207,
            -0.148613662,
            -0.147884101,
            -0.147154555,
            -0.146425009,
            -0.145695463,
            -0.144965902,
            -0.144236356,
            -0.14350681,
            -0.142777264,
            -0.142047703,
            -0.141318157,
            -0.140588611,
            -0.139859065,
            -0.13910079,
            -0.138128057,
            -0.137155324,
            -0.136182591,
            -0.135209844,
            -0.134237111,
            -0.133264378,
            -0.132291645,
            -0.131318912,
            -0.130346179,
            -0.129373446,
            -0.128400713,
            -0.127427965,
            -0.126455233,
            -0.1254825,
            -0.124509767,
            -0.123537034,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.122989394,
            -0.12225984,
            -0.121530287,
            -0.120800734,
            -0.120071188,
            -0.119341634,
            -0.118612081,
            -0.117882535,
            -0.117152981,
            -0.116423428,
            -0.115693875,
            -0.114964329,
            -0.114234775,
            -0.113505222,
            -0.112775669,
            -0.112046123,
            -0.111316569,
            -0.110587023,
            -0.109857477,
            -0.109127931,
            -0.108398378,
            -0.107668832,
            -0.106939286,
            -0.10620974,
            -0.105480187,
            -0.104750641,
            -0.104021095,
            -0.103291549,
            -0.102561995,
            -0.101832449,
            -0.101102903,
            -0.100373358,
            -0.0992876515,
            -0.0978285521,
            -0.0963694528,
            -0.0949103534,
            -0.0934512541,
            -0.0919921547,
            -0.0905330554,
            -0.089073956,
            -0.0876148567,
            -0.0861557573,
            -0.084696658,
            -0.0832375586,
            -0.0817784593,
            -0.0803193599,
            -0.0788602605,
            -0.0774011612,
            -0.0761182234,
            -0.0751454905,
            -0.0741727576,
            -0.0732000247,
            -0.0722272918,
            -0.0712545589,
            -0.070281826,
            -0.0693090931,
            -0.0683363602,
            -0.0673636273,
            -0.0663909018,
            -0.0654181689,
            -0.064445436,
            -0.0634727031,
            -0.0624999665,
            -0.0615272336,
            -0.0606119446,
            -0.059882395,
            -0.0591528453,
            -0.0584232956,
            -0.0576937459,
            -0.0569641963,
            -0.0562346503,
            -0.0555050969,
            -0.054775551,
            -0.0540459976,
            -0.0533164516,
            -0.0525868982,
            -0.0518573523,
            -0.0511277989,
            -0.0503982529,
            -0.0496687032,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0483015142,
            -0.0475719646,
            -0.0468424149,
            -0.0461128652,
            -0.0453833155,
            -0.0446537659,
            -0.0439242162,
            -0.0431946665,
            -0.0424651168,
            -0.0417355672,
            -0.0410060175,
            -0.0402764678,
            -0.0395469181,
            -0.0388173684,
            -0.0380878225,
            -0.0373582691,
            -0.0366287194,
            -0.0358991697,
            -0.0351696238,
            -0.0344400704,
            -0.0337105244,
            -0.032980971,
            -0.0322514251,
            -0.0315218754,
            -0.0307923239,
            -0.0300627742,
            -0.0293332264,
            -0.0286036767,
            -0.027874127,
            -0.0271445774,
            -0.0264150277,
            -0.025685478,
            -0.0242436118,
            -0.0225413293,
            -0.0208390467,
            -0.0191367641,
            -0.0174344815,
            -0.015732199,
            -0.0140299173,
            -0.0123276347,
            -0.0106253522,
            -0.00892307051,
            -0.00722078793,
            -0.00551850535,
            -0.00381622277,
            -0.00211394019,
            -0.000411657616,
            0.00129062496,
            0.00284546474,
            0.00430456363,
            0.00576366298,
            0.00722276233,
            0.00868186168,
            0.010140961,
            0.0116000595,
            0.0130591588,
            0.0145182582,
            0.0159773566,
            0.0174364559,
            0.0188955553,
            0.0203546546,
            0.021813754,
            0.0232728533,
            0.0247319527,
            0.0258406382,
            0.0265701879,
            0.0272997376,
            0.0280292872,
            0.0287588369,
            0.0294883847,
            0.0302179344,
            0.0309474841,
            0.0316770338,
            0.0324065834,
            0.0331361331,
            0.0338656828,
            0.0345952325,
            0.0353247821,
            0.0360543318,
            0.0367838815,
            0.0381166041,
            0.0405484326,
            0.0429802649,
            0.0454120971,
            0.0478439294,
            0.0502757616,
            0.0527075939,
            0.0551394261,
            0.0575712584,
            0.0600030906,
            0.0624349192,
            0.0648667514,
            0.0672985837,
            0.0697304159,
            0.0721622482,
            0.0745940804,
            0.076803796,
            0.0782628953,
            0.0797219947,
            0.0811810941,
            0.0826401934,
            0.0840992928,
            0.0855583847,
            0.0870174915,
            0.0884765834,
            0.0899356902,
            0.0913947821,
            0.0928538889,
            0.0943129808,
            0.0957720876,
            0.0972311795,
            0.0986902788,
            0.100074701,
            0.100804254,
            0.1015338,
            0.102263354,
            0.1029929,
            0.103722453,
            0.104451999,
            0.105181552,
            0.105911098,
            0.106640652,
            0.107370198,
            0.108099744,
            0.108829297,
            0.109558851,
            0.110288396,
            0.111017942,
            0.111747496,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.112385131,
            0.113114685,
            0.113844231,
            0.114573784,
            0.11530333,
            0.116032884,
            0.116762429,
            0.117491983,
            0.118221529,
            0.118951082,
            0.119680628,
            0.120410182,
            0.121139728,
            0.121869281,
            0.122598827,
            0.12332838,
            0.124762587,
            0.126464874,
            0.128167152,
            0.129869431,
            0.13157171,
            0.133273989,
            0.134976283,
            0.136678562,
            0.13838084,
            0.140083119,
            0.141785413,
            0.143487692,
            0.145189971,
            0.14689225,
            0.148594543,
            0.150296822,
            0.151417002,
            0.152146548,
            0.152876109,
            0.153605655,
            0.154335216,
            0.155064762,
            0.155794322,
            0.156523868,
            0.157253429,
            0.157982975,
            0.158712536,
            0.159442082,
            0.160171628,
            0.160901189,
            0.16163075,
            0.162360296,
            0.163089842,
            0.163819388,
            0.164548934,
            0.165278479,
            0.166008025,
            0.166737571,
            0.167467117,
            0.168196663,
            0.168926209,
            0.169655755,
            0.170385301,
            0.171114847,
            0.171844393,
            0.172573939,
            0.173303485,
            0.174033031,
            0.174762577,
            0.175492138,
            0.176221684,
            0.17695123,
            0.177680776,
            0.178410321,
            0.179139882,
            0.179869428,
            0.180598974,
            0.18132852,
            0.182058081,
            0.182787627,
            0.183517173,
            0.184246719,
            0.18497628,
            0.185705826,
            0.186488986,
            0.187461734,
            0.188434467,
            0.1894072,
            0.190379933,
            0.191352665,
            0.192325413,
            0.193298146,
            0.194270879,
            0.195243612,
            0.19621636,
            0.197189093,
            0.198161826,
            0.199134558,
            0.200107306,
            0.201080039,
            0.202029794,
            0.20275934,
            0.203488886,
            0.204218432,
            0.204947978,
            0.205677524,
            0.20640707,
            0.207136616,
            0.207866162,
            0.208595708,
            0.209325254,
            0.2100548,
            0.210784346,
            0.211513892,
            0.212243438,
            0.212972984,
            0.21370253,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.214340165,
            0.215069711,
            0.215799272,
            0.216528818,
            0.217258364,
            0.21798791,
            0.218717471,
            0.219447017,
            0.220176563,
            0.220906109,
            0.221635669,
            0.222365215,
            0.223094761,
            0.223824307,
            0.224553868,
            0.225283414,
            0.224967465,
            0.224237919,
            0.223508358,
            0.222778812,
            0.222049266,
            0.22131972,
            0.220590174,
            0.219860613,
            0.219131067,
            0.218401521,
            0.217671961,
            0.216942415,
            0.216212869,
            0.215483323,
            0.214753777,
            0.214024216,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.21338658,
            0.212657034,
            0.211927488,
            0.211197942,
            0.210468397,
            0.209738851,
            0.209009305,
            0.208279759,
            0.207550213,
            0.206820667,
            0.206091121,
            0.205361575,
            0.204632029,
            0.203902483,
            0.203172937,
            0.202443391,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201754063,
            0.200781316,
            0.199808583,
            0.19883585,
            0.197863117,
            0.196890384,
            0.195917636,
            0.194944903,
            0.19397217,
            0.192999437,
            0.19202669,
            0.191053957,
            0.190081224,
            0.189108491,
            0.188135743,
            0.18716301,
            0.186211333,
            0.185481787,
            0.184752241,
            0.184022695,
            0.183293134,
            0.182563588,
            0.181834042,
            0.181104496,
            0.180374935,
            0.179645389,
            0.178915843,
            0.178186297,
            0.177456737,
            0.176727191,
            0.175997645,
            0.175268099,
            0.174538553,
            0.173809007,
            0.173079461,
            0.172349915,
            0.171620369,
            0.170890823,
            0.170161277,
            0.169431731,
            0.168702185,
            0.167972639,
            0.167243093,
            0.166513547,
            0.165784001,
            0.165054455,
            0.164324909,
            0.163595363,
            0.162865818,
            0.162136257,
            0.161406711,
            0.16067715,
            0.159947604,
            0.159218043,
            0.158488497,
            0.157758936,
            0.15702939,
            0.156299829,
            0.155570284,
            0.154840723,
            0.154111177,
            0.153381616,
            0.15265207,
            0.151922509,
            0.151192963,
            0.150463402,
            0.149733856,
            0.14900431,
            0.148274764,
            0.147545218,
            0.146815658,
            0.146086112,
            0.145356566,
            0.14462702,
            0.143897459,
            0.143167913,
            0.142438367,
            0.141708821,
            0.14097926,
            0.140249714,
            0.139520168,
            0.138648912,
            0.137676179,
            0.136703447,
            0.135730714,
            0.134757981,
            0.133785248,
            0.132812515,
            0.131839782,
            0.130867064,
            0.129894316,
            0.128921598,
            0.12794885,
            0.126976132,
            0.126003385,
            0.125030667,
            0.124057926,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.122805633,
            0.12061698,
            0.118428335,
            0.116239682,
            0.114051037,
            0.111862384,
            0.109673738,
            0.107485086,
            0.10529644,
            0.103107788,
            0.100919142,
            0.0987304896,
            0.0965418443,
            0.094353199,
            0.0921645463,
            0.0899758935,
            0.0880859643,
            0.0873564109,
            0.086626865,
            0.0858973116,
            0.0851677656,
            0.0844382122,
            0.0837086663,
            0.0829791129,
            0.0822495669,
            0.0815200135,
            0.0807904676,
            0.0800609142,
            0.0793313682,
            0.0786018148,
            0.0778722689,
            0.0771427155,
            0.0763940215,
            0.0754212886,
            0.0744485557,
            0.0734758228,
            0.0725030899,
            0.071530357,
            0.0705576241,
            0.0695848912,
            0.0686121583,
            0.0676394254,
            0.0666666925,
            0.0656939596,
            0.0647212267,
            0.0637484938,
            0.0627757609,
            0.061803028,
            0.0608302951,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0595779978,
            0.0581188984,
            0.0566597991,
            0.0552006997,
            0.0537416004,
            0.052282501,
            0.0508234017,
            0.049364306,
            0.0479052067,
            0.0464461073,
            0.044987008,
            0.0435279086,
            0.0420688093,
            0.0406097099,
            0.0391506106,
            0.0376915112,
            0.0367436707,
            0.036014121,
            0.0352845713,
            0.0345550217,
            0.033825472,
            0.0330959223,
            0.0323663726,
            0.031636823,
            0.0309072733,
            0.0301777236,
            0.0294481739,
            0.0287186243,
            0.0279890746,
            0.0272595249,
            0.0265299752,
            0.0258004256,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0256338362,
            0.0263633858,
            0.0270929355,
            0.0278224852,
            0.0285520349,
            0.0292815845,
            0.0300111342,
            0.0307406839,
            0.0314702317,
            0.0321997814,
            0.0329293311,
            0.0336588807,
            0.0343884304,
            0.0351179801,
            0.0358475298,
            0.0365770794,
            0.0373066291,
            0.0380361788,
            0.0387657285,
            0.0394952781,
            0.0402248278,
            0.0409543775,
            0.0416839272,
            0.0424134769,
            0.0431430265,
            0.0438725762,
            0.0446021259,
            0.0453316756,
            0.0460612252,
            0.0467907749,
            0.0475203246,
            0.0482498743,
            0.0489794239,
            0.0497089736,
            0.0504385233,
            0.051168073,
            0.0518976226,
            0.0526271723,
            0.053356722,
            0.0540862717,
            0.0548158213,
            0.055545371,
            0.0562749207,
            0.0570044667,
            0.0577340201,
            0.058463566,
            0.0591931194,
            0.0599226654,
            0.0606522188,
            0.0615809076,
            0.0625536442,
            0.0635263771,
            0.06449911,
            0.0654718429,
            0.0664445758,
            0.0674173087,
            0.0683900416,
            0.0693627745,
            0.0703355074,
            0.0713082403,
            0.0722809732,
            0.0732537061,
            0.0742264315,
            0.0751991645,
            0.0761718974,
            0.0774816424,
            0.0789407417,
            0.0803998411,
            0.0818589404,
            0.0833180398,
            0.0847771391,
            0.0862362385,
            0.0876953378,
            0.0891544372,
            0.0906135365,
            0.0920726359,
            0.0935317352,
            0.0949908346,
            0.0964499339,
            0.0979090333,
            0.0993681327,
            0.100413628,
            0.101143174,
            0.101872727,
            0.102602273,
            0.103331827,
            0.104061373,
            0.104790926,
            0.105520472,
            0.106250025,
            0.106979571,
            0.107709125,
            0.108438671,
            0.109168224,
            0.10989777,
            0.110627323,
            0.111356869,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111626863,
            0.11089731,
            0.110167764,
            0.109438211,
            0.108708665,
            0.107979111,
            0.107249565,
            0.106520012,
            0.105790466,
            0.105060913,
            0.104331367,
            0.103601813,
            0.102872267,
            0.102142714,
            0.101413168,
            0.100683615,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100683615,
            0.101413168,
            0.102142714,
            0.102872267,
            0.103601813,
            0.104331367,
            0.105060913,
            0.105790466,
            0.106520012,
            0.107249565,
            0.107979111,
            0.108708665,
            0.109438211,
            0.110167764,
            0.11089731,
            0.111626863,
            0.112356409,
            0.113085963,
            0.113815509,
            0.114545062,
            0.115274608,
            0.116004162,
            0.116733707,
            0.117463261,
            0.118192807,
            0.11892236,
            0.119651906,
            0.12038146,
            0.121111006,
            0.121840551,
            0.122570105,
            0.123299658,
            0.124195792,
            0.125168532,
            0.126141265,
            0.127113998,
            0.128086731,
            0.129059464,
            0.130032197,
            0.13100493,
            0.131977662,
            0.132950395,
            0.133923128,
            0.134895861,
            0.135868594,
            0.136841327,
            0.13781406,
            0.138786793,
            0.140031427,
            0.141490534,
            0.142949626,
            0.144408733,
            0.145867839,
            0.147326946,
            0.148786038,
            0.150245145,
            0.151704252,
            0.153163359,
            0.15462245,
            0.156081557,
            0.157540664,
            0.158999771,
            0.160458863,
            0.16191797,
            0.163061127,
            0.163790673,
            0.164520219,
            0.165249765,
            0.165979311,
            0.166708857,
            0.167438403,
            0.168167949,
            0.168897495,
            0.169627041,
            0.170356587,
            0.171086133,
            0.171815678,
            0.172545224,
            0.17327477,
            0.174004316,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174550042,
            0.175279588,
            0.176009133,
            0.176738679,
            0.17746824,
            0.178197786,
            0.178927332,
            0.179656878,
            0.180386424,
            0.181115985,
            0.181845531,
            0.182575077,
            0.183304638,
            0.184034184,
            0.18476373,
            0.185493276,
            0.186222821,
            0.185596675,
            0.184867129,
            0.184137583,
            0.183408037,
            0.182678476,
            0.18194893,
            0.181219384,
            0.180489838,
            0.179760277,
            0.179030731,
            0.178301185,
            0.177571639,
            0.176842079,
            0.176112533,
            0.175382987,
            0.174653441,
            0.173923895,
            0.173194349,
            0.172464803,
            0.171735257,
            0.171005711,
            0.170276165,
            0.169546619,
            0.168817073,
            0.168087527,
            0.167357981,
            0.166628435,
            0.165898889,
            0.165169343,
            0.164439797,
            0.163710251,
            0.162980705,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162343055,
            0.161613509,
            0.160883948,
            0.160154402,
            0.159424841,
            0.158695295,
            0.15796575,
            0.157236189,
            0.156506628,
            0.155777082,
            0.155047536,
            0.154317975,
            0.153588429,
            0.152858868,
            0.152129322,
            0.151399761,
            0.15129061,
            0.152020171,
            0.152749717,
            0.153479278,
            0.154208824,
            0.154938385,
            0.155667931,
            0.156397492,
            0.157127038,
            0.157856598,
            0.158586144,
            0.159315705,
            0.160045251,
            0.160774812,
            0.161504358,
            0.162233919,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162348807,
            0.161619246,
            0.1608897,
            0.160160139,
            0.159430593,
            0.158701032,
            0.157971486,
            0.15724194,
            0.15651238,
            0.155782834,
            0.155053273,
            0.154323727,
            0.153594166,
            0.15286462,
            0.152135059,
            0.151405513,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151101053,
            0.151830599,
            0.15256016,
            0.153289706,
            0.154019266,
            0.154748812,
            0.155478373,
            0.156207919,
            0.15693748,
            0.157667026,
            0.158396587,
            0.159126133,
            0.159855694,
            0.16058524,
            0.1613148,
            0.162044346,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.161596283,
            0.160137177,
            0.15867807,
            0.157218963,
            0.155759871,
            0.154300764,
            0.152841657,
            0.151382565,
            0.149923459,
            0.148464352,
            0.147005245,
            0.145546138,
            0.144087046,
            0.14262794,
            0.141168833,
            0.139709741,
            0.13857232,
            0.137599587,
            0.136626855,
            0.135654122,
            0.134681389,
            0.133708656,
            0.132735923,
            0.13176319,
            0.130790457,
            0.129817724,
            0.128844991,
            0.127872258,
            0.126899526,
            0.125926793,
            0.124954067,
            0.123981334,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123230718,
            0.122501172,
            0.121771619,
            0.121042073,
            0.120312519,
            0.119582973,
            0.11885342,
            0.118123874,
            0.117394328,
            0.116664775,
            0.115935221,
            0.115205675,
            0.114476129,
            0.113746576,
            0.113017023,
            0.112287477,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111649841,
            0.110920288,
            0.110190742,
            0.109461188,
            0.108731642,
            0.108002089,
            0.107272543,
            0.10654299,
            0.105813444,
            0.10508389,
            0.104354344,
            0.103624791,
            0.102895245,
            0.102165692,
            0.101436146,
            0.100706592,
            0.0999770463,
            0.0992474928,
            0.0985179469,
            0.0977883935,
            0.0970588475,
            0.0963293016,
            0.0955997482,
            0.0948702022,
            0.0941406488,
            0.0934111029,
            0.0926815495,
            0.0919520035,
            0.0912224501,
            0.0904929042,
            0.0897633508,
            0.0890338048,
            0.0883042514,
            0.0875747055,
            0.0868451521,
            0.0861156061,
            0.0853860527,
            0.0846565068,
            0.0839269534,
            0.0831974074,
            0.082467854,
            0.0817383081,
            0.0810087547,
            0.0802792087,
            0.0795496553,
            0.0788201094,
            0.078090556,
            0.07736101,
            0.0766314566,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0769474059,
            0.0776769519,
            0.0784065053,
            0.0791360512,
            0.0798656046,
            0.0805951506,
            0.081324704,
            0.0820542499,
            0.0827838033,
            0.0835133493,
            0.0842429027,
            0.0849724486,
            0.085702002,
            0.086431548,
            0.0871611014,
            0.0878906474,
            0.0886202008,
            0.0893497467,
            0.0900793001,
            0.0908088461,
            0.0915383995,
            0.0922679454,
            0.0929974988,
            0.0937270448,
            0.0944565982,
            0.0951861441,
            0.0959156975,
            0.0966452435,
            0.0973747969,
            0.0981043428,
            0.0988338962,
            0.0995634422,
            0.100292996,
            0.101022542,
            0.101752095,
            0.102481641,
            0.103211194,
            0.10394074,
            0.104670286,
            0.10539984,
            0.106129393,
            0.106858939,
            0.107588485,
            0.108318038,
            0.109047592,
            0.109777138,
            0.110506684,
            0.111236237,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.11110986,
            0.110380307,
            0.109650761,
            0.108921207,
            0.108191662,
            0.107462108,
            0.106732562,
            0.106003009,
            0.105273463,
            0.104543909,
            0.103814363,
            0.10308481,
            0.102355264,
            0.101625711,
            0.100896165,
            0.100166611,
            0.098874107,
            0.0974150077,
            0.0959559083,
            0.0944968089,
            0.0930377096,
            0.0915786102,
            0.0901195109,
            0.0886604115,
            0.0872013122,
            0.0857422128,
            0.0842831135,
            0.0828240141,
            0.0813649148,
            0.0799058154,
            0.0784467161,
            0.0769876167,
            0.0753715038,
            0.0736692175,
            0.0719669387,
            0.0702646524,
            0.0685623735,
            0.0668600872,
            0.0651578084,
            0.0634555221,
            0.0617532432,
            0.0600509606,
            0.0583486781,
            0.0566463955,
            0.0549441129,
            0.0532418303,
            0.0515395477,
            0.0498372689,
            0.0482613631,
            0.0468022637,
            0.0453431644,
            0.043884065,
            0.0424249656,
            0.0409658663,
            0.0395067669,
            0.0380476676,
            0.0365885682,
            0.0351294689,
            0.0336703733,
            0.0322112739,
            0.0307521727,
            0.0292930733,
            0.027833974,
            0.0263748746,
            0.0245328099,
            0.0221009776,
            0.0196691453,
            0.0172373131,
            0.0148054827,
            0.0123736504,
            0.00994181819,
            0.00750998594,
            0.00507815368,
            0.00264632329,
            0.00021449104,
            -0.00221734121,
            -0.00464917347,
            -0.00708100572,
            -0.00951283798,
            -0.0119446702,
            -0.0141160842,
            -0.0155751836,
            -0.0170342829,
            -0.0184933823,
            -0.0199524816,
            -0.021411581,
            -0.0228706785,
            -0.0243297778,
            -0.0257888772,
            -0.0272479765,
            -0.0287070759,
            -0.0301661752,
            -0.0316252746,
            -0.0330843739,
            -0.0345434733,
            -0.0360025726,
            -0.0373582691,
            -0.0380878188,
            -0.0388173684,
            -0.0395469181,
            -0.0402764678,
            -0.0410060175,
            -0.0417355672,
            -0.0424651168,
            -0.0431946665,
            -0.0439242162,
            -0.0446537659,
            -0.0453833155,
            -0.0461128652,
            -0.0468424149,
            -0.0475719646,
            -0.0483015142,
            -0.0490463823,
            -0.0507486649,
            -0.0524509475,
            -0.05415323,
            -0.0558555126,
            -0.0575577952,
            -0.0592600778,
            -0.0609623604,
            -0.0626646429,
            -0.0643669218,
            -0.0660692081,
            -0.0677714869,
            -0.0694737732,
            -0.0711760521,
            -0.0728783384,
            -0.0745806172,
            -0.0762829036,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0758501515,
            -0.0748774186,
            -0.0739046857,
            -0.0729319528,
            -0.0719592199,
            -0.070986487,
            -0.0700137541,
            -0.0690410212,
            -0.0680682883,
            -0.0670955554,
            -0.0661228225,
            -0.0651500896,
            -0.0641773567,
            -0.0632046238,
            -0.0622318909,
            -0.061259158,
            -0.060410887,
            -0.0596813411,
            -0.0589517914,
            -0.0582222417,
            -0.057492692,
            -0.0567631423,
            -0.0560335927,
            -0.055304043,
            -0.0545744933,
            -0.0538449436,
            -0.053115394,
            -0.0523858443,
            -0.0516562946,
            -0.0509267449,
            -0.0501971953,
            -0.0494676456,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490329787,
            -0.0507352613,
            -0.0524375439,
            -0.0541398264,
            -0.055842109,
            -0.0575443916,
            -0.0592466742,
            -0.0609489568,
            -0.0626512393,
            -0.0643535182,
            -0.0660558045,
            -0.0677580833,
            -0.0694603696,
            -0.0711626485,
            -0.0728649348,
            -0.0745672137,
            -0.0762694925,
            -0.0777573213,
            -0.0792164207,
            -0.08067552,
            -0.0821346194,
            -0.0835937113,
            -0.0850528181,
            -0.08651191,
            -0.0879710168,
            -0.0894301087,
            -0.090889208,
            -0.0923483074,
            -0.0938074067,
            -0.0952665061,
            -0.0967256054,
            -0.0981847048,
            -0.0996438041,
            -0.101102903,
            -0.102562003,
            -0.104021102,
            -0.105480202,
            -0.106939301,
            -0.1083984,
            -0.1098575,
            -0.111316599,
            -0.112775698,
            -0.114234798,
            -0.115693897,
            -0.117152996,
            -0.118612096,
            -0.120071195,
            -0.121530294,
            -0.122989394,
            -0.124142118,
            -0.125114858,
            -0.126087591,
            -0.127060324,
            -0.128033057,
            -0.12900579,
            -0.129978523,
            -0.13095127,
            -0.131924003,
            -0.132896736,
            -0.133869469,
            -0.134842202,
            -0.135814935,
            -0.136787668,
            -0.137760401,
            -0.138733134,
            -0.139583319,
            -0.14031288,
            -0.141042426,
            -0.141771972,
            -0.142501518,
            -0.143231079,
            -0.143960625,
            -0.144690171,
            -0.145419717,
            -0.146149278,
            -0.146878824,
            -0.14760837,
            -0.148337916,
            -0.149067476,
            -0.149797022,
            -0.150526568,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.151072294,
            -0.151801839,
            -0.1525314,
            -0.153260946,
            -0.153990492,
            -0.154720038,
            -0.155449599,
            -0.156179145,
            -0.156908691,
            -0.157638237,
            -0.158367798,
            -0.159097344,
            -0.15982689,
            -0.160556436,
            -0.161285996,
            -0.162015542
          ],
          [
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.185728773,
            -0.184999228,
            -0.184269667,
            -0.183540121,
            -0.182810575,
            -0.182081029,
            -0.181351468,
            -0.180621922,
            -0.179892376,
            -0.17916283,
            -0.178433269,
            -0.177703723,
            -0.176974177,
            -0.176244631,
            -0.175515085,
            -0.174785525,
            -0.174963608,
            -0.175693154,
            -0.1764227,
            -0.177152261,
            -0.177881807,
            -0.178611353,
            -0.179340899,
            -0.18007046,
            -0.180800006,
            -0.181529552,
            -0.182259098,
            -0.182988659,
            -0.183718204,
            -0.18444775,
            -0.185177296,
            -0.185906857,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186004505,
            -0.185274959,
            -0.184545413,
            -0.183815867,
            -0.183086306,
            -0.18235676,
            -0.181627214,
            -0.180897653,
            -0.180168107,
            -0.179438561,
            -0.178709015,
            -0.177979469,
            -0.177249908,
            -0.176520362,
            -0.175790817,
            -0.175061271,
            -0.17433171,
            -0.173602164,
            -0.172872618,
            -0.172143072,
            -0.171413511,
            -0.170683965,
            -0.169954419,
            -0.169224873,
            -0.168495312,
            -0.167765766,
            -0.16703622,
            -0.166306674,
            -0.165577114,
            -0.164847568,
            -0.164118022,
            -0.163388476,
            -0.162658915,
            -0.161929369,
            -0.161199823,
            -0.160470277,
            -0.159740716,
            -0.15901117,
            -0.158281624,
            -0.157552078,
            -0.156822518,
            -0.156092972,
            -0.155363426,
            -0.15463388,
            -0.153904319,
            -0.153174773,
            -0.152445227,
            -0.151715681,
            -0.150986135,
            -0.150256574,
            -0.149527028,
            -0.148797482,
            -0.148067936,
            -0.147338375,
            -0.146608829,
            -0.145879284,
            -0.145149738,
            -0.144420177,
            -0.143690631,
            -0.142961085,
            -0.142231539,
            -0.141501978,
            -0.140772432,
            -0.140042886,
            -0.13931334,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.138618246,
            -0.137645513,
            -0.13667278,
            -0.135700047,
            -0.134727314,
            -0.133754581,
            -0.132781848,
            -0.131809115,
            -0.130836368,
            -0.129863635,
            -0.128890902,
            -0.127918169,
            -0.126945436,
            -0.125972703,
            -0.124999963,
            -0.12402723,
            -0.122817062,
            -0.121357962,
            -0.119898863,
            -0.118439764,
            -0.116980664,
            -0.115521565,
            -0.114062466,
            -0.112603366,
            -0.111144267,
            -0.109685168,
            -0.108226068,
            -0.106766969,
            -0.10530787,
            -0.10384877,
            -0.102389671,
            -0.100930572,
            -0.0997357145,
            -0.0990061685,
            -0.0982766151,
            -0.0975470692,
            -0.0968175232,
            -0.0960879698,
            -0.0953584164,
            -0.0946288705,
            -0.0938993245,
            -0.0931697711,
            -0.0924402252,
            -0.0917106718,
            -0.0909811258,
            -0.0902515724,
            -0.0895220265,
            -0.0887924731,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0875172019,
            -0.0867876485,
            -0.0860581025,
            -0.0853285491,
            -0.0845990032,
            -0.0838694498,
            -0.0831399038,
            -0.0824103504,
            -0.0816808045,
            -0.0809512511,
            -0.0802217051,
            -0.0794921517,
            -0.0787626058,
            -0.0780330524,
            -0.0773035064,
            -0.076573953,
            -0.0750095397,
            -0.0733072609,
            -0.0716049746,
            -0.0699026957,
            -0.0682004094,
            -0.0664981306,
            -0.0647958443,
            -0.0630935654,
            -0.0613912791,
            -0.0596890002,
            -0.0579867139,
            -0.0562844351,
            -0.0545821488,
            -0.0528798699,
            -0.0511775874,
            -0.0494753048,
            -0.0479511023,
            -0.0464920029,
            -0.0450329036,
            -0.0435738042,
            -0.0421147048,
            -0.0406556055,
            -0.0391965061,
            -0.0377374068,
            -0.0362783074,
            -0.0348192081,
            -0.0333601087,
            -0.0319010094,
            -0.03044191,
            -0.0289828107,
            -0.0275237132,
            -0.0260646138,
            -0.0244580731,
            -0.0227557905,
            -0.0210535079,
            -0.0193512253,
            -0.0176489428,
            -0.0159466602,
            -0.0142443776,
            -0.012542096,
            -0.0108398134,
            -0.00913753174,
            -0.00743524916,
            -0.00573296659,
            -0.00403068401,
            -0.00232840143,
            -0.000626118854,
            0.00107616372,
            0.00266164122,
            0.00412074011,
            0.00557983946,
            0.00703893881,
            0.00849803723,
            0.00995713659,
            0.0114162359,
            0.0128753353,
            0.0143344346,
            0.015793534,
            0.0172526333,
            0.0187117327,
            0.0201708321,
            0.0216299295,
            0.0230890289,
            0.0245481282,
            0.0262657292,
            0.0284543782,
            0.0306430273,
            0.0328316763,
            0.0350203253,
            0.0372089744,
            0.0393976234,
            0.0415862724,
            0.0437749177,
            0.0459635705,
            0.0481522158,
            0.0503408685,
            0.0525295138,
            0.0547181629,
            0.0569068119,
            0.0590954609,
            0.0611730516,
            0.0628753304,
            0.0645776168,
            0.0662798956,
            0.0679821819,
            0.0696844608,
            0.0713867471,
            0.0730890259,
            0.0747913122,
            0.0764935911,
            0.0781958699,
            0.0798981562,
            0.0816004425,
            0.0833027214,
            0.0850050002,
            0.0867072865,
            0.0883099958,
            0.0890395492,
            0.0897690952,
            0.0904986486,
            0.0912281945,
            0.0919577479,
            0.0926872939,
            0.0934168473,
            0.0941463932,
            0.0948759466,
            0.0956054926,
            0.0963350385,
            0.0970645919,
            0.0977941453,
            0.0985236913,
            0.0992532372,
            0.0999827906,
            0.100712337,
            0.10144189,
            0.102171436,
            0.102900989,
            0.103630535,
            0.104360089,
            0.105089635,
            0.105819188,
            0.106548734,
            0.107278287,
            0.108007833,
            0.108737387,
            0.109466933,
            0.110196486,
            0.110926032,
            0.111655585,
            0.112385131,
            0.113114685,
            0.113844231,
            0.114573784,
            0.11530333,
            0.116032884,
            0.116762429,
            0.117491983,
            0.118221529,
            0.118951082,
            0.119680628,
            0.120410182,
            0.121139728,
            0.121869281,
            0.122598827,
            0.12332838,
            0.124234088,
            0.125206828,
            0.126179561,
            0.127152294,
            0.128125027,
            0.12909776,
            0.130070493,
            0.131043226,
            0.132015958,
            0.132988691,
            0.133961424,
            0.134934157,
            0.13590689,
            0.136879623,
            0.137852356,
            0.138825089,
            0.140088871,
            0.141547978,
            0.143007085,
            0.144466177,
            0.145925283,
            0.14738439,
            0.148843482,
            0.150302589,
            0.151761696,
            0.153220803,
            0.154679894,
            0.156139001,
            0.157598108,
            0.159057215,
            0.160516307,
            0.161975414,
            0.16343452,
            0.164893612,
            0.166352704,
            0.167811796,
            0.169270903,
            0.170729995,
            0.172189087,
            0.173648179,
            0.17510727,
            0.176566377,
            0.178025469,
            0.179484561,
            0.180943668,
            0.18240276,
            0.183861852,
            0.185320944,
            0.186611533,
            0.187584281,
            0.188557014,
            0.189529747,
            0.19050248,
            0.191475227,
            0.19244796,
            0.193420693,
            0.194393426,
            0.195366174,
            0.196338907,
            0.19731164,
            0.198284373,
            0.19925712,
            0.200229853,
            0.201202586,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.202029794,
            0.20275934,
            0.203488886,
            0.204218432,
            0.204947978,
            0.205677524,
            0.20640707,
            0.207136616,
            0.207866162,
            0.208595708,
            0.209325254,
            0.2100548,
            0.210784346,
            0.211513892,
            0.212243438,
            0.212972984,
            0.21370253,
            0.214432076,
            0.215161622,
            0.215891182,
            0.216620728,
            0.217350274,
            0.21807982,
            0.218809381,
            0.219538927,
            0.220268473,
            0.220998019,
            0.22172758,
            0.222457126,
            0.223186672,
            0.223916218,
            0.224645779,
            0.225375324,
            0.224875554,
            0.224146008,
            0.223416448,
            0.222686902,
            0.221957356,
            0.22122781,
            0.220498249,
            0.219768703,
            0.219039157,
            0.218309611,
            0.21758005,
            0.216850504,
            0.216120958,
            0.215391412,
            0.214661852,
            0.213932306,
            0.21320276,
            0.212473214,
            0.211743668,
            0.211014122,
            0.210284576,
            0.20955503,
            0.208825484,
            0.208095938,
            0.207366392,
            0.206636846,
            0.2059073,
            0.205177754,
            0.204448208,
            0.203718662,
            0.202989116,
            0.20225957,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201631516,
            0.200658768,
            0.199686036,
            0.198713303,
            0.19774057,
            0.196767822,
            0.195795089,
            0.194822356,
            0.193849623,
            0.192876875,
            0.191904142,
            0.19093141,
            0.189958677,
            0.188985929,
            0.188013196,
            0.187040463,
            0.186119422,
            0.185389876,
            0.18466033,
            0.183930784,
            0.183201224,
            0.182471678,
            0.181742132,
            0.181012586,
            0.180283025,
            0.179553479,
            0.178823933,
            0.178094387,
            0.177364826,
            0.17663528,
            0.175905734,
            0.175176188,
            0.174446627,
            0.173717082,
            0.172987536,
            0.17225799,
            0.171528444,
            0.170798898,
            0.170069352,
            0.169339806,
            0.168610275,
            0.167880714,
            0.167151183,
            0.166421622,
            0.165692091,
            0.16496253,
            0.164232999,
            0.163503438,
            0.162773907,
            0.162044346,
            0.1613148,
            0.16058524,
            0.159855694,
            0.159126133,
            0.158396587,
            0.157667026,
            0.15693748,
            0.156207919,
            0.155478373,
            0.154748812,
            0.154019266,
            0.153289706,
            0.15256016,
            0.151830599,
            0.151101053,
            0.149559617,
            0.147857323,
            0.146155044,
            0.144452766,
            0.142750487,
            0.141048193,
            0.139345914,
            0.137643635,
            0.135941356,
            0.134239063,
            0.132536784,
            0.130834505,
            0.129132226,
            0.127429932,
            0.125727654,
            0.124025375,
            0.123012431,
            0.122282878,
            0.121553332,
            0.120823778,
            0.120094232,
            0.119364679,
            0.118635133,
            0.117905587,
            0.117176034,
            0.116446488,
            0.115716934,
            0.114987388,
            0.114257835,
            0.113528289,
            0.112798735,
            0.11206919,
            0.111339636,
            0.11061009,
            0.109880537,
            0.109150991,
            0.108421437,
            0.107691891,
            0.106962338,
            0.106232792,
            0.105503239,
            0.104773693,
            0.104044139,
            0.103314593,
            0.10258504,
            0.101855494,
            0.101125941,
            0.100396395,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.099517487,
            0.0980583876,
            0.0965992883,
            0.0951401889,
            0.0936810896,
            0.0922219902,
            0.0907628909,
            0.0893037915,
            0.0878446922,
            0.0863855928,
            0.0849264935,
            0.0834673941,
            0.0820082948,
            0.0805491954,
            0.0790900961,
            0.0776309967,
            0.0762714744,
            0.0752987415,
            0.0743260086,
            0.0733532757,
            0.0723805428,
            0.0714078099,
            0.070435077,
            0.0694623441,
            0.0684896111,
            0.0675168782,
            0.0665441453,
            0.0655714124,
            0.0645986795,
            0.0636259466,
            0.0626532137,
            0.0616804808,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0601811707,
            0.059451621,
            0.0587220713,
            0.0579925217,
            0.057262972,
            0.0565334223,
            0.0558038726,
            0.055074323,
            0.0543447733,
            0.0536152236,
            0.0528856739,
            0.0521561243,
            0.0514265746,
            0.0506970249,
            0.0499674752,
            0.0492379256,
            0.0485083759,
            0.0477788262,
            0.0470492765,
            0.0463197269,
            0.0455901772,
            0.0448606275,
            0.0441310778,
            0.0434015281,
            0.0426719785,
            0.0419424288,
            0.0412128791,
            0.0404833294,
            0.0397537798,
            0.0390242301,
            0.0382946804,
            0.0375651307,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0373985432,
            0.0381280929,
            0.0388576426,
            0.0395871922,
            0.0403167382,
            0.0410462916,
            0.0417758375,
            0.0425053872,
            0.0432349369,
            0.0439644866,
            0.0446940362,
            0.0454235859,
            0.0461531356,
            0.0468826853,
            0.047612235,
            0.0483417846,
            0.0490713343,
            0.049800884,
            0.0505304337,
            0.0512599833,
            0.051989533,
            0.0527190827,
            0.0534486324,
            0.054178182,
            0.0549077317,
            0.0556372814,
            0.0563668311,
            0.0570963807,
            0.0578259304,
            0.0585554801,
            0.0592850298,
            0.0600145794,
            0.0607441291,
            0.0617034584,
            0.0626761913,
            0.0636489242,
            0.0646216571,
            0.06559439,
            0.0665671229,
            0.0675398558,
            0.0685125887,
            0.0694853216,
            0.0704580545,
            0.0714307874,
            0.0724035203,
            0.0733762532,
            0.0743489861,
            0.0753217191,
            0.076294452,
            0.0776654631,
            0.0791245624,
            0.0805836618,
            0.0820427611,
            0.0835018605,
            0.0849609599,
            0.0864200592,
            0.0878791586,
            0.0893382579,
            0.0907973573,
            0.0922564566,
            0.093715556,
            0.0951746553,
            0.0966337547,
            0.098092854,
            0.0995519534,
            0.101011053,
            0.102470152,
            0.103929251,
            0.105388351,
            0.10684745,
            0.108306549,
            0.109765649,
            0.111224748,
            0.112683848,
            0.114142947,
            0.115602046,
            0.117061146,
            0.118520245,
            0.119979344,
            0.121438444,
            0.122897543,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123299658,
            0.122570105,
            0.121840559,
            0.121111006,
            0.12038146,
            0.119651906,
            0.11892236,
            0.118192807,
            0.117463261,
            0.116733707,
            0.116004162,
            0.115274608,
            0.114545062,
            0.113815509,
            0.113085963,
            0.112356409,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.11244832,
            0.113177873,
            0.113907419,
            0.114636973,
            0.115366518,
            0.116096072,
            0.116825618,
            0.117555171,
            0.118284717,
            0.119014271,
            0.119743817,
            0.12047337,
            0.121202916,
            0.121932469,
            0.122662015,
            0.123391569,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.124195792,
            0.125168532,
            0.126141265,
            0.127113998,
            0.128086731,
            0.129059464,
            0.130032197,
            0.13100493,
            0.131977662,
            0.132950395,
            0.133923128,
            0.134895861,
            0.135868594,
            0.136841327,
            0.13781406,
            0.138786793,
            0.139623567,
            0.140353113,
            0.141082659,
            0.14181222,
            0.142541766,
            0.143271312,
            0.144000858,
            0.144730419,
            0.145459965,
            0.146189511,
            0.146919057,
            0.147648618,
            0.148378164,
            0.14910771,
            0.149837255,
            0.150566816,
            0.151296362,
            0.152025908,
            0.152755469,
            0.153485015,
            0.154214576,
            0.154944122,
            0.155673683,
            0.156403229,
            0.157132789,
            0.157862335,
            0.158591896,
            0.159321442,
            0.160051003,
            0.160780549,
            0.16151011,
            0.162239656,
            0.162969217,
            0.163698763,
            0.164428309,
            0.165157855,
            0.165887401,
            0.166616946,
            0.167346492,
            0.168076038,
            0.168805584,
            0.16953513,
            0.170264676,
            0.170994222,
            0.171723768,
            0.172453314,
            0.17318286,
            0.173912406,
            0.174641952,
            0.175371498,
            0.176101044,
            0.17683059,
            0.177560151,
            0.178289697,
            0.179019243,
            0.179748788,
            0.180478349,
            0.181207895,
            0.181937441,
            0.182666987,
            0.183396548,
            0.184126094,
            0.18485564,
            0.185585186,
            0.18623431,
            0.185504764,
            0.184775218,
            0.184045672,
            0.183316112,
            0.182586566,
            0.18185702,
            0.181127474,
            0.180397928,
            0.179668367,
            0.178938821,
            0.178209275,
            0.177479714,
            0.176750168,
            0.176020622,
            0.175291076,
            0.17456153,
            0.173831984,
            0.173102438,
            0.172372892,
            0.171643347,
            0.170913801,
            0.170184255,
            0.169454709,
            0.168725163,
            0.167995617,
            0.167266071,
            0.166536525,
            0.165806979,
            0.165077433,
            0.164347887,
            0.163618341,
            0.162888795,
            0.162159234,
            0.161429688,
            0.160700127,
            0.159970582,
            0.159241021,
            0.158511475,
            0.157781914,
            0.157052368,
            0.156322807,
            0.155593261,
            0.1548637,
            0.154134154,
            0.153404593,
            0.152675048,
            0.151945487,
            0.151215941,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150578305,
            0.149848744,
            0.149119198,
            0.148389652,
            0.147660106,
            0.146930546,
            0.146201,
            0.145471454,
            0.144741908,
            0.144012347,
            0.143282801,
            0.142553255,
            0.141823709,
            0.141094148,
            0.140364602,
            0.139635056,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139342085,
            0.14007163,
            0.140801191,
            0.141530737,
            0.142260283,
            0.142989829,
            0.14371939,
            0.144448936,
            0.145178482,
            0.145908028,
            0.146637589,
            0.147367135,
            0.148096681,
            0.148826227,
            0.149555787,
            0.150285333,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151560605,
            0.152290165,
            0.153019711,
            0.153749272,
            0.154478818,
            0.155208379,
            0.155937925,
            0.156667486,
            0.157397032,
            0.158126593,
            0.158856139,
            0.159585699,
            0.160315245,
            0.161044806,
            0.161774352,
            0.162503913,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162348807,
            0.161619246,
            0.1608897,
            0.160160139,
            0.159430593,
            0.158701032,
            0.157971486,
            0.15724194,
            0.15651238,
            0.155782834,
            0.155053273,
            0.154323727,
            0.153594166,
            0.15286462,
            0.152135059,
            0.151405513,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151101053,
            0.151830599,
            0.15256016,
            0.153289706,
            0.154019266,
            0.154748812,
            0.155478373,
            0.156207919,
            0.15693748,
            0.157667026,
            0.158396587,
            0.159126133,
            0.159855694,
            0.16058524,
            0.1613148,
            0.162044346,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162170723,
            0.161441177,
            0.160711616,
            0.15998207,
            0.159252509,
            0.158522964,
            0.157793403,
            0.157063857,
            0.156334296,
            0.15560475,
            0.154875189,
            0.154145643,
            0.153416082,
            0.152686536,
            0.151956975,
            0.15122743,
            0.150497884,
            0.149768323,
            0.149038777,
            0.148309231,
            0.147579685,
            0.146850124,
            0.146120578,
            0.145391032,
            0.144661486,
            0.143931925,
            0.143202379,
            0.142472833,
            0.141743287,
            0.141013727,
            0.140284181,
            0.139554635,
            0.138694867,
            0.137722135,
            0.136749402,
            0.135776669,
            0.134803951,
            0.133831203,
            0.132858485,
            0.131885752,
            0.130913019,
            0.129940286,
            0.128967553,
            0.12799482,
            0.127022088,
            0.126049355,
            0.125076622,
            0.124103881,
            0.123230718,
            0.122501172,
            0.121771619,
            0.121042073,
            0.120312519,
            0.119582973,
            0.11885342,
            0.118123874,
            0.117394328,
            0.116664775,
            0.115935221,
            0.115205675,
            0.114476129,
            0.113746576,
            0.113017023,
            0.112287477,
            0.111557931,
            0.110828377,
            0.110098831,
            0.109369278,
            0.108639732,
            0.107910179,
            0.107180633,
            0.106451079,
            0.105721533,
            0.10499198,
            0.104262434,
            0.103532881,
            0.102803335,
            0.102073781,
            0.101344235,
            0.100614682,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0999770463,
            0.0992474928,
            0.0985179469,
            0.0977883935,
            0.0970588475,
            0.0963293016,
            0.0955997482,
            0.0948702022,
            0.0941406488,
            0.0934111029,
            0.0926815495,
            0.0919520035,
            0.0912224501,
            0.0904929042,
            0.0897633508,
            0.0890338048,
            0.0883042514,
            0.0875747055,
            0.0868451521,
            0.0861156061,
            0.0853860527,
            0.0846565068,
            0.0839269534,
            0.0831974074,
            0.082467854,
            0.0817383081,
            0.0810087547,
            0.0802792087,
            0.0795496553,
            0.0788201094,
            0.078090556,
            0.07736101,
            0.0766314566,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0768554956,
            0.0775850415,
            0.0783145949,
            0.0790441409,
            0.0797736943,
            0.0805032402,
            0.0812327936,
            0.0819623396,
            0.082691893,
            0.0834214389,
            0.0841509923,
            0.0848805383,
            0.0856100917,
            0.0863396376,
            0.087069191,
            0.087798737,
            0.0885282904,
            0.0892578363,
            0.0899873897,
            0.0907169357,
            0.0914464891,
            0.092176035,
            0.092905581,
            0.0936351344,
            0.0943646878,
            0.0950942338,
            0.0958237797,
            0.0965533331,
            0.0972828865,
            0.0980124325,
            0.0987419784,
            0.0994715318,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0993451551,
            0.0986156017,
            0.0978860557,
            0.0971565023,
            0.0964269564,
            0.095697403,
            0.094967857,
            0.0942383036,
            0.0935087577,
            0.0927792042,
            0.0920496583,
            0.0913201049,
            0.0905905589,
            0.0898610055,
            0.0891314596,
            0.0884019062,
            0.086921744,
            0.0852194652,
            0.0835171789,
            0.0818149,
            0.0801126137,
            0.0784103349,
            0.0767080486,
            0.0750057697,
            0.0733034909,
            0.0716012046,
            0.0698989183,
            0.0681966394,
            0.0664943606,
            0.0647920743,
            0.0630897954,
            0.0613875091,
            0.0598422438,
            0.0583831444,
            0.0569240451,
            0.0554649457,
            0.0540058464,
            0.052546747,
            0.0510876477,
            0.0496285483,
            0.048169449,
            0.0467103496,
            0.0452512503,
            0.0437921509,
            0.0423330516,
            0.0408739559,
            0.0394148566,
            0.0379557572,
            0.0364966579,
            0.0350375585,
            0.0335784592,
            0.0321193598,
            0.0306602605,
            0.0292011611,
            0.0277420618,
            0.0262829624,
            0.0248238631,
            0.0233647637,
            0.0219056662,
            0.0204465669,
            0.0189874675,
            0.0175283682,
            0.0160692688,
            0.0146101695,
            0.0130553292,
            0.0113530466,
            0.00965076499,
            0.00794848241,
            0.00624619983,
            0.00454391725,
            0.00284163468,
            0.00113935303,
            -0.000562929548,
            -0.00226521119,
            -0.00396749377,
            -0.00566977635,
            -0.00737205893,
            -0.00907434151,
            -0.0107766241,
            -0.0124789067,
            -0.0139207719,
            -0.0146503216,
            -0.0153798712,
            -0.0161094218,
            -0.0168389697,
            -0.0175685193,
            -0.018298069,
            -0.0190276187,
            -0.0197571684,
            -0.020486718,
            -0.0212162677,
            -0.0219458174,
            -0.0226753671,
            -0.0234049167,
            -0.0241344664,
            -0.0248640161,
            -0.0255935658,
            -0.0263231155,
            -0.0270526651,
            -0.0277822148,
            -0.0285117645,
            -0.0292413142,
            -0.029970862,
            -0.0307004116,
            -0.0314299613,
            -0.032159511,
            -0.0328890607,
            -0.0336186104,
            -0.03434816,
            -0.0350777097,
            -0.0358072594,
            -0.0365368091,
            -0.0372778475,
            -0.0387369469,
            -0.0401960462,
            -0.0416551456,
            -0.0431142449,
            -0.0445733443,
            -0.0460324436,
            -0.047491543,
            -0.0489506423,
            -0.0504097417,
            -0.0518688411,
            -0.0533279404,
            -0.0547870398,
            -0.0562461391,
            -0.0577052385,
            -0.0591643378,
            -0.0606234372,
            -0.0616497844,
            -0.0626225173,
            -0.0635952502,
            -0.0645679832,
            -0.0655407161,
            -0.066513449,
            -0.0674861819,
            -0.0684589148,
            -0.0694316477,
            -0.0704043806,
            -0.0713771135,
            -0.0723498464,
            -0.0733225793,
            -0.0742953122,
            -0.0752680451,
            -0.076240778,
            -0.0757275969,
            -0.074754864,
            -0.0737821311,
            -0.0728094056,
            -0.0718366727,
            -0.0708639398,
            -0.0698912069,
            -0.068918474,
            -0.0679457411,
            -0.0669730082,
            -0.0660002753,
            -0.0650275424,
            -0.0640548095,
            -0.0630820766,
            -0.0621093437,
            -0.0611366108,
            -0.0603189766,
            -0.059589427,
            -0.0588598773,
            -0.0581303276,
            -0.0574007779,
            -0.0566712283,
            -0.0559416786,
            -0.0552121289,
            -0.0544825792,
            -0.0537530296,
            -0.0530234799,
            -0.0522939302,
            -0.0515643805,
            -0.0508348346,
            -0.0501052812,
            -0.0493757352,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0491172299,
            -0.0498467796,
            -0.0505763292,
            -0.0513058789,
            -0.0520354286,
            -0.0527649783,
            -0.0534945279,
            -0.0542240776,
            -0.0549536273,
            -0.055683177,
            -0.0564127266,
            -0.0571422763,
            -0.057871826,
            -0.0586013757,
            -0.0593309253,
            -0.060060475,
            -0.0607919395,
            -0.0617646724,
            -0.0627374053,
            -0.0637101382,
            -0.0646828711,
            -0.065655604,
            -0.0666283369,
            -0.0676010698,
            -0.0685738027,
            -0.0695465356,
            -0.0705192685,
            -0.0714920014,
            -0.0724647343,
            -0.0734374672,
            -0.0744102001,
            -0.075382933,
            -0.0763556659,
            -0.0777573213,
            -0.0792164207,
            -0.08067552,
            -0.0821346194,
            -0.0835937113,
            -0.0850528181,
            -0.08651191,
            -0.0879710168,
            -0.0894301087,
            -0.090889208,
            -0.0923483074,
            -0.0938074067,
            -0.0952665061,
            -0.0967256054,
            -0.0981847048,
            -0.0996438041,
            -0.101102903,
            -0.102562003,
            -0.104021102,
            -0.105480202,
            -0.106939301,
            -0.1083984,
            -0.1098575,
            -0.111316599,
            -0.112775698,
            -0.114234798,
            -0.115693897,
            -0.117152996,
            -0.118612096,
            -0.120071195,
            -0.121530294,
            -0.122989394,
            -0.124142118,
            -0.125114858,
            -0.126087591,
            -0.127060324,
            -0.128033057,
            -0.12900579,
            -0.129978523,
            -0.13095127,
            -0.131924003,
            -0.132896736,
            -0.133869469,
            -0.134842202,
            -0.135814935,
            -0.136787668,
            -0.137760401,
            -0.138733134,
            -0.139583319,
            -0.14031288,
            -0.141042426,
            -0.141771972,
            -0.142501518,
            -0.143231079,
            -0.143960625,
            -0.144690171,
            -0.145419717,
            -0.146149278,
            -0.146878824,
            -0.14760837,
            -0.148337916,
            -0.149067476,
            -0.149797022,
            -0.150526568,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.151164204,
            -0.15189375,
            -0.152623311,
            -0.153352857,
            -0.154082403,
            -0.154811949,
            -0.155541509,
            -0.156271055,
            -0.157000601,
            -0.157730147,
            -0.158459708,
            -0.159189254,
            -0.1599188,
            -0.160648346,
            -0.161377907,
            -0.162107453,
            -0.162836999,
            -0.163566545,
            -0.164296106,
            -0.165025651,
            -0.165755197,
            -0.166484743,
            -0.167214304,
            -0.16794385,
            -0.168673396,
            -0.169402942,
            -0.170132503,
            -0.170862049,
            -0.171591595,
            -0.172321141,
            -0.173050702,
            -0.173780248
          ],
          [
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186912134,
            -0.18764168,
            -0.188371241,
            -0.189100787,
            -0.189830333,
            -0.190559879,
            -0.19128944,
            -0.192018986,
            -0.192748532,
            -0.193478078,
            -0.194207639,
            -0.194937184,
            -0.19566673,
            -0.196396276,
            -0.197125837,
            -0.197855383,
            -0.197493479,
            -0.196763933,
            -0.196034372,
            -0.195304826,
            -0.19457528,
            -0.193845734,
            -0.193116173,
            -0.192386627,
            -0.191657081,
            -0.190927535,
            -0.190197974,
            -0.189468428,
            -0.188738883,
            -0.188009337,
            -0.187279791,
            -0.18655023,
            -0.186728314,
            -0.18745786,
            -0.188187405,
            -0.188916966,
            -0.189646512,
            -0.190376058,
            -0.191105604,
            -0.191835165,
            -0.192564711,
            -0.193294257,
            -0.194023803,
            -0.194753364,
            -0.19548291,
            -0.196212456,
            -0.196942002,
            -0.197671562,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.19786112,
            -0.197131574,
            -0.196402028,
            -0.195672482,
            -0.194942921,
            -0.194213375,
            -0.193483829,
            -0.192754284,
            -0.192024723,
            -0.191295177,
            -0.190565631,
            -0.189836085,
            -0.189106524,
            -0.188376978,
            -0.187647432,
            -0.186917886,
            -0.186188325,
            -0.185458779,
            -0.184729233,
            -0.183999687,
            -0.183270127,
            -0.182540581,
            -0.181811035,
            -0.181081489,
            -0.180351928,
            -0.179622382,
            -0.178892836,
            -0.17816329,
            -0.177433729,
            -0.176704183,
            -0.175974637,
            -0.175245091,
            -0.174515545,
            -0.173785985,
            -0.173056439,
            -0.172326893,
            -0.171597347,
            -0.170867786,
            -0.17013824,
            -0.169408694,
            -0.168679148,
            -0.167949587,
            -0.167220041,
            -0.166490495,
            -0.165760949,
            -0.165031388,
            -0.164301842,
            -0.163572297,
            -0.162842751,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162297025,
            -0.161567464,
            -0.160837919,
            -0.160108373,
            -0.159378827,
            -0.158649266,
            -0.15791972,
            -0.157190174,
            -0.156460628,
            -0.155731067,
            -0.155001521,
            -0.154271975,
            -0.153542429,
            -0.152812868,
            -0.152083322,
            -0.151353776,
            -0.150149345,
            -0.148447067,
            -0.146744773,
            -0.145042494,
            -0.143340215,
            -0.141637921,
            -0.139935642,
            -0.138233364,
            -0.13653107,
            -0.134828791,
            -0.133126497,
            -0.131424218,
            -0.12972194,
            -0.128019646,
            -0.126317367,
            -0.124615081,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123448953,
            -0.1227194,
            -0.121989846,
            -0.1212603,
            -0.120530747,
            -0.119801193,
            -0.11907164,
            -0.118342094,
            -0.117612541,
            -0.116882987,
            -0.116153434,
            -0.115423888,
            -0.114694335,
            -0.113964781,
            -0.113235235,
            -0.112505682,
            -0.111776128,
            -0.111046582,
            -0.110317037,
            -0.109587483,
            -0.108857937,
            -0.108128391,
            -0.107398845,
            -0.106669292,
            -0.105939746,
            -0.1052102,
            -0.104480654,
            -0.103751101,
            -0.103021555,
            -0.102292009,
            -0.101562463,
            -0.100832909,
            -0.100103363,
            -0.0987476632,
            -0.0972885638,
            -0.0958294719,
            -0.0943703651,
            -0.0929112732,
            -0.0914521664,
            -0.0899930745,
            -0.0885339752,
            -0.0870748758,
            -0.0856157765,
            -0.0841566771,
            -0.0826975778,
            -0.0812384784,
            -0.0797793791,
            -0.0783202797,
            -0.0768611804,
            -0.0752239972,
            -0.0735217184,
            -0.0718194395,
            -0.0701171532,
            -0.0684148744,
            -0.0667125881,
            -0.0650103092,
            -0.0633080229,
            -0.0616057403,
            -0.0599034578,
            -0.0582011789,
            -0.0564988926,
            -0.0547966138,
            -0.0530943274,
            -0.0513920486,
            -0.0496897623,
            -0.048134923,
            -0.0466758236,
            -0.0452167243,
            -0.0437576249,
            -0.0422985293,
            -0.0408394262,
            -0.0393803306,
            -0.0379212312,
            -0.0364621319,
            -0.0350030325,
            -0.0335439332,
            -0.0320848338,
            -0.0306257345,
            -0.0291666351,
            -0.0277075358,
            -0.0262484364,
            -0.0243221186,
            -0.0218902882,
            -0.019458456,
            -0.0170266237,
            -0.0145947915,
            -0.0121629592,
            -0.00973112695,
            -0.00729929656,
            -0.0048674643,
            -0.00243563205,
            -3.7997961e-6,
            0.00242803246,
            0.00485986471,
            0.00729169697,
            0.00972352922,
            0.0121553615,
            0.014501025,
            0.0166896731,
            0.0188783221,
            0.0210669711,
            0.0232556202,
            0.0254442692,
            0.0276329182,
            0.0298215654,
            0.0320102125,
            0.0341988653,
            0.0363875106,
            0.0385761634,
            0.0407648087,
            0.0429534577,
            0.0451421067,
            0.0473307557,
            0.0494083464,
            0.0511106253,
            0.0528129116,
            0.0545151904,
            0.056217473,
            0.0579197556,
            0.0596220382,
            0.0613243207,
            0.063026607,
            0.0647288859,
            0.0664311647,
            0.068133451,
            0.0698357373,
            0.0715380162,
            0.0732402951,
            0.0749425814,
            0.0765452906,
            0.0772748441,
            0.07800439,
            0.0787339434,
            0.0794634894,
            0.0801930428,
            0.0809225887,
            0.0816521421,
            0.0823816881,
            0.0831112415,
            0.0838407874,
            0.0845703334,
            0.0852998868,
            0.0860294402,
            0.0867589861,
            0.0874885321,
            0.0882180855,
            0.0896599516,
            0.091119051,
            0.0925781503,
            0.0940372497,
            0.095496349,
            0.0969554484,
            0.0984145477,
            0.0998736471,
            0.101332746,
            0.102791846,
            0.104250945,
            0.105710045,
            0.107169136,
            0.108628243,
            0.110087335,
            0.111546442,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.112997882,
            0.114700161,
            0.11640244,
            0.118104726,
            0.119807005,
            0.121509291,
            0.12321157,
            0.124913856,
            0.126616135,
            0.128318414,
            0.130020708,
            0.131722987,
            0.133425266,
            0.135127544,
            0.136829838,
            0.138532117,
            0.140088871,
            0.141547978,
            0.143007085,
            0.144466177,
            0.145925283,
            0.14738439,
            0.148843482,
            0.150302589,
            0.151761696,
            0.153220803,
            0.154679894,
            0.156139001,
            0.157598108,
            0.159057215,
            0.160516307,
            0.161975414,
            0.16343452,
            0.164893612,
            0.166352704,
            0.167811796,
            0.169270903,
            0.170729995,
            0.172189087,
            0.173648179,
            0.17510727,
            0.176566377,
            0.178025469,
            0.179484561,
            0.180943668,
            0.18240276,
            0.183861852,
            0.185320944,
            0.186611533,
            0.187584281,
            0.188557014,
            0.189529747,
            0.19050248,
            0.191475227,
            0.19244796,
            0.193420693,
            0.194393426,
            0.195366174,
            0.196338907,
            0.19731164,
            0.198284373,
            0.19925712,
            0.200229853,
            0.201202586,
            0.202121705,
            0.202851251,
            0.203580797,
            0.204310343,
            0.205039889,
            0.205769435,
            0.206498981,
            0.207228526,
            0.207958072,
            0.208687618,
            0.209417164,
            0.21014671,
            0.210876256,
            0.211605802,
            0.212335348,
            0.213064894,
            0.21379444,
            0.214523986,
            0.215253547,
            0.215983093,
            0.216712639,
            0.217442185,
            0.218171746,
            0.218901291,
            0.219630837,
            0.220360383,
            0.221089929,
            0.22181949,
            0.222549036,
            0.223278582,
            0.224008143,
            0.224737689,
            0.225467235,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.224875554,
            0.224146008,
            0.223416448,
            0.222686902,
            0.221957356,
            0.22122781,
            0.220498249,
            0.219768703,
            0.219039157,
            0.218309611,
            0.21758005,
            0.216850504,
            0.216120958,
            0.215391412,
            0.214661852,
            0.213932306,
            0.21320276,
            0.212473214,
            0.211743668,
            0.211014122,
            0.210284576,
            0.20955503,
            0.208825484,
            0.208095938,
            0.207366392,
            0.206636846,
            0.2059073,
            0.205177754,
            0.204448208,
            0.203718662,
            0.202989116,
            0.20225957,
            0.201386407,
            0.200413674,
            0.199440941,
            0.198468208,
            0.197495461,
            0.196522728,
            0.195549995,
            0.194577262,
            0.193604514,
            0.192631781,
            0.191659048,
            0.190686315,
            0.189713567,
            0.188740835,
            0.187768102,
            0.186795369,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186119422,
            0.185389876,
            0.18466033,
            0.183930784,
            0.183201224,
            0.182471678,
            0.181742132,
            0.181012586,
            0.180283025,
            0.179553479,
            0.178823933,
            0.178094387,
            0.177364826,
            0.17663528,
            0.175905734,
            0.175176188,
            0.174446627,
            0.173717082,
            0.172987536,
            0.17225799,
            0.171528444,
            0.170798898,
            0.170069352,
            0.169339806,
            0.168610275,
            0.167880714,
            0.167151183,
            0.166421622,
            0.165692091,
            0.16496253,
            0.164232999,
            0.163503438,
            0.162773907,
            0.161343515,
            0.159884423,
            0.158425316,
            0.156966209,
            0.155507103,
            0.154048011,
            0.152588904,
            0.151129797,
            0.14967069,
            0.148211598,
            0.146752492,
            0.145293385,
            0.143834293,
            0.142375186,
            0.140916079,
            0.139456972,
            0.137794912,
            0.136092618,
            0.134390339,
            0.13268806,
            0.130985782,
            0.129283488,
            0.127581209,
            0.12587893,
            0.124176644,
            0.122474365,
            0.120772079,
            0.1190698,
            0.117367521,
            0.115665235,
            0.113962948,
            0.112260669,
            0.110730723,
            0.109271623,
            0.107812524,
            0.106353424,
            0.104894325,
            0.103435226,
            0.101976126,
            0.100517027,
            0.0990579277,
            0.0975988284,
            0.096139729,
            0.0946806297,
            0.0932215303,
            0.091762431,
            0.0903033316,
            0.0888442323,
            0.0878102258,
            0.0870806798,
            0.0863511264,
            0.0856215805,
            0.0848920271,
            0.0841624811,
            0.0834329277,
            0.0827033818,
            0.0819738284,
            0.0812442824,
            0.080514729,
            0.0797851831,
            0.0790556297,
            0.0783260837,
            0.0775965303,
            0.0768669844,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0761489198,
            0.0751761869,
            0.074203454,
            0.0732307211,
            0.0722579882,
            0.0712852553,
            0.0703125224,
            0.0693397895,
            0.068367064,
            0.0673943311,
            0.0664215982,
            0.0654488653,
            0.0644761324,
            0.0635033995,
            0.0625306666,
            0.06155793,
            0.0606349818,
            0.0599054322,
            0.0591758825,
            0.0584463328,
            0.0577167869,
            0.0569872335,
            0.0562576875,
            0.0555281341,
            0.0547985882,
            0.0540690385,
            0.0533394888,
            0.0526099391,
            0.0518803895,
            0.0511508398,
            0.0504212901,
            0.0496917404,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0496228039,
            0.0503523536,
            0.0510819033,
            0.051811453,
            0.0525410026,
            0.0532705523,
            0.054000102,
            0.0547296517,
            0.0554592013,
            0.056188751,
            0.0569183007,
            0.0576478504,
            0.0583774,
            0.0591069497,
            0.0598364994,
            0.0605660491,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0603649914,
            0.0596354418,
            0.0589058921,
            0.0581763424,
            0.0574467927,
            0.056717243,
            0.0559876934,
            0.0552581474,
            0.054528594,
            0.0537990481,
            0.0530694947,
            0.0523399487,
            0.0516103953,
            0.0508808494,
            0.050151296,
            0.04942175,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0492551588,
            0.0499847084,
            0.0507142581,
            0.0514438078,
            0.0521733575,
            0.0529029071,
            0.0536324568,
            0.0543620065,
            0.0550915562,
            0.0558211058,
            0.0565506555,
            0.0572802052,
            0.0580097549,
            0.0587393045,
            0.0594688542,
            0.0601984039,
            0.0609758236,
            0.0619485565,
            0.0629212856,
            0.0638940185,
            0.0648667514,
            0.0658394843,
            0.0668122172,
            0.0677849501,
            0.068757683,
            0.0697304159,
            0.0707031488,
            0.0716758817,
            0.0726486146,
            0.0736213475,
            0.0745940804,
            0.0755668133,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0771599486,
            0.077889502,
            0.078619048,
            0.0793486014,
            0.0800781474,
            0.0808077008,
            0.0815372467,
            0.0822668001,
            0.0829963461,
            0.0837258995,
            0.0844554454,
            0.0851849988,
            0.0859145448,
            0.0866440982,
            0.0873736441,
            0.0881031975,
            0.0894301683,
            0.0908892676,
            0.092348367,
            0.0938074663,
            0.0952665657,
            0.096725665,
            0.0981847644,
            0.0996438637,
            0.101102963,
            0.102562062,
            0.104021162,
            0.105480261,
            0.10693936,
            0.10839846,
            0.109857559,
            0.111316659,
            0.11294426,
            0.114646547,
            0.116348825,
            0.118051112,
            0.119753391,
            0.121455677,
            0.123157956,
            0.124860242,
            0.126562521,
            0.1282648,
            0.129967093,
            0.131669372,
            0.133371651,
            0.13507393,
            0.136776209,
            0.138478503,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.138786793,
            0.13781406,
            0.136841327,
            0.135868594,
            0.134895861,
            0.133923128,
            0.132950395,
            0.131977662,
            0.13100493,
            0.130032197,
            0.129059464,
            0.128086731,
            0.127113998,
            0.126141265,
            0.125168532,
            0.124195792,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.124440894,
            0.125413626,
            0.126386359,
            0.127359092,
            0.128331825,
            0.129304558,
            0.130277291,
            0.131250024,
            0.132222757,
            0.13319549,
            0.134168223,
            0.135140955,
            0.136113688,
            0.137086421,
            0.138059154,
            0.139031887,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139715478,
            0.140445024,
            0.141174585,
            0.141904131,
            0.142633677,
            0.143363222,
            0.144092768,
            0.144822329,
            0.145551875,
            0.146281421,
            0.147010967,
            0.147740528,
            0.148470074,
            0.14919962,
            0.149929166,
            0.150658727,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151428476,
            0.152887583,
            0.154346675,
            0.155805781,
            0.157264873,
            0.15872398,
            0.160183072,
            0.161642179,
            0.163101271,
            0.164560378,
            0.166019469,
            0.167478576,
            0.168937668,
            0.170396775,
            0.171855867,
            0.173314974,
            0.174641952,
            0.175371498,
            0.176101044,
            0.17683059,
            0.177560151,
            0.178289697,
            0.179019243,
            0.179748788,
            0.180478349,
            0.181207895,
            0.181937441,
            0.182666987,
            0.183396548,
            0.184126094,
            0.18485564,
            0.185585186,
            0.18623431,
            0.185504764,
            0.184775218,
            0.184045672,
            0.183316112,
            0.182586566,
            0.18185702,
            0.181127474,
            0.180397928,
            0.179668367,
            0.178938821,
            0.178209275,
            0.177479714,
            0.176750168,
            0.176020622,
            0.175291076,
            0.17456153,
            0.173154131,
            0.171695024,
            0.170235932,
            0.168776825,
            0.167317733,
            0.165858626,
            0.164399534,
            0.162940428,
            0.161481336,
            0.160022229,
            0.158563137,
            0.15710403,
            0.155644938,
            0.154185832,
            0.15272674,
            0.151267633,
            0.150394469,
            0.149664924,
            0.148935378,
            0.148205832,
            0.147476271,
            0.146746725,
            0.146017179,
            0.145287633,
            0.144558072,
            0.143828526,
            0.14309898,
            0.142369434,
            0.141639888,
            0.140910327,
            0.140180781,
            0.139451236,
            0.138557002,
            0.137584269,
            0.136611536,
            0.135638803,
            0.13466607,
            0.133693337,
            0.132720605,
            0.131747872,
            0.130775139,
            0.129802406,
            0.128829673,
            0.12785694,
            0.126884207,
            0.125911474,
            0.124938749,
            0.123966016,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123575389,
            0.124548122,
            0.125520855,
            0.126493588,
            0.127466321,
            0.128439054,
            0.129411787,
            0.13038452,
            0.131357253,
            0.132329985,
            0.133302718,
            0.134275451,
            0.135248184,
            0.136220917,
            0.13719365,
            0.138166383,
            0.139139116,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139795899,
            0.140525445,
            0.141255006,
            0.141984552,
            0.142714098,
            0.143443644,
            0.144173205,
            0.144902751,
            0.145632297,
            0.146361843,
            0.147091404,
            0.14782095,
            0.148550496,
            0.149280041,
            0.150009602,
            0.150739148,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151101053,
            0.151830599,
            0.15256016,
            0.153289706,
            0.154019266,
            0.154748812,
            0.155478373,
            0.156207919,
            0.15693748,
            0.157667026,
            0.158396587,
            0.159126133,
            0.159855694,
            0.16058524,
            0.1613148,
            0.162044346,
            0.162773907,
            0.163503453,
            0.164232999,
            0.16496253,
            0.165692091,
            0.166421622,
            0.167151183,
            0.167880714,
            0.168610275,
            0.169339806,
            0.170069352,
            0.170798898,
            0.171528459,
            0.17225799,
            0.172987536,
            0.173717082,
            0.174446627,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.173935384,
            0.173205838,
            0.172476292,
            0.171746746,
            0.1710172,
            0.170287654,
            0.169558108,
            0.168828562,
            0.168099016,
            0.16736947,
            0.166639924,
            0.165910378,
            0.165180832,
            0.164451286,
            0.16372174,
            0.162992194,
            0.162262633,
            0.161533087,
            0.160803527,
            0.160073981,
            0.15934442,
            0.158614874,
            0.157885313,
            0.157155767,
            0.156426206,
            0.15569666,
            0.154967099,
            0.154237553,
            0.153507993,
            0.152778447,
            0.152048886,
            0.15131934,
            0.150068954,
            0.148366675,
            0.146664396,
            0.144962102,
            0.143259823,
            0.141557544,
            0.139855266,
            0.138152972,
            0.136450693,
            0.134748414,
            0.133046135,
            0.131343842,
            0.129641563,
            0.127939284,
            0.126237005,
            0.124534719,
            0.123230718,
            0.122501172,
            0.121771619,
            0.121042073,
            0.120312519,
            0.119582973,
            0.11885342,
            0.118123874,
            0.117394328,
            0.116664775,
            0.115935221,
            0.115205675,
            0.114476129,
            0.113746576,
            0.113017023,
            0.112287477,
            0.111557931,
            0.110828377,
            0.110098831,
            0.109369278,
            0.108639732,
            0.107910179,
            0.107180633,
            0.106451079,
            0.105721533,
            0.10499198,
            0.104262434,
            0.103532881,
            0.102803335,
            0.102073781,
            0.101344235,
            0.100614682,
            0.0998851359,
            0.0991555825,
            0.0984260365,
            0.0976964831,
            0.0969669372,
            0.0962373838,
            0.0955078378,
            0.0947782844,
            0.0940487385,
            0.0933191851,
            0.0925896391,
            0.0918600857,
            0.0911305398,
            0.0904009864,
            0.0896714404,
            0.088941887,
            0.0882123411,
            0.0874827877,
            0.0867532417,
            0.0860236883,
            0.0852941424,
            0.0845645964,
            0.083835043,
            0.0831054971,
            0.0823759437,
            0.0816463977,
            0.0809168443,
            0.0801872984,
            0.079457745,
            0.078728199,
            0.0779986456,
            0.0772690997,
            0.0765395463,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0768554956,
            0.0775850415,
            0.0783145949,
            0.0790441409,
            0.0797736943,
            0.0805032402,
            0.0812327936,
            0.0819623396,
            0.082691893,
            0.0834214389,
            0.0841509923,
            0.0848805383,
            0.0856100917,
            0.0863396376,
            0.087069191,
            0.087798737,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0875804499,
            0.0868508965,
            0.0861213505,
            0.0853917971,
            0.0846622512,
            0.0839326978,
            0.0832031518,
            0.0824735984,
            0.0817440525,
            0.0810144991,
            0.0802849531,
            0.0795553997,
            0.0788258538,
            0.0780963004,
            0.0773667544,
            0.076637201,
            0.0751570389,
            0.07345476,
            0.0717524737,
            0.0700501949,
            0.0683479086,
            0.0666456297,
            0.0649433434,
            0.0632410645,
            0.061538782,
            0.0598364994,
            0.0581342168,
            0.0564319342,
            0.0547296554,
            0.0530273691,
            0.0513250902,
            0.0496228039,
            0.0480775386,
            0.0466184393,
            0.0451593399,
            0.0437002406,
            0.0422411412,
            0.0407820418,
            0.0393229425,
            0.0378638431,
            0.0364047438,
            0.0349456444,
            0.0334865451,
            0.0320274457,
            0.0305683482,
            0.0291092508,
            0.0276501514,
            0.026191052,
            0.0247319527,
            0.0232728533,
            0.021813754,
            0.0203546546,
            0.0188955553,
            0.0174364559,
            0.0159773566,
            0.0145182582,
            0.0130591588,
            0.0116000595,
            0.010140961,
            0.00868186168,
            0.00722276233,
            0.00576366298,
            0.00430456363,
            0.00284546427,
            0.00157784834,
            0.000605115551,
            -0.000367617235,
            -0.00134035014,
            -0.00231308304,
            -0.00328581547,
            -0.00425854838,
            -0.00523128128,
            -0.00620401371,
            -0.00717674661,
            -0.00814947952,
            -0.00912221242,
            -0.0100949453,
            -0.0110676782,
            -0.0120404102,
            -0.0130131431,
            -0.0139207719,
            -0.0146503216,
            -0.0153798712,
            -0.0161094218,
            -0.0168389697,
            -0.0175685193,
            -0.018298069,
            -0.0190276187,
            -0.0197571684,
            -0.020486718,
            -0.0212162677,
            -0.0219458174,
            -0.0226753671,
            -0.0234049167,
            -0.0241344664,
            -0.0248640161,
            -0.0255935658,
            -0.0263231155,
            -0.0270526651,
            -0.0277822148,
            -0.0285117645,
            -0.0292413142,
            -0.029970862,
            -0.0307004116,
            -0.0314299613,
            -0.032159511,
            -0.0328890607,
            -0.0336186104,
            -0.03434816,
            -0.0350777097,
            -0.0358072594,
            -0.0365368091,
            -0.0372663587,
            -0.0379959084,
            -0.0387254581,
            -0.0394550078,
            -0.0401845574,
            -0.0409141071,
            -0.0416436568,
            -0.0423732065,
            -0.0431027561,
            -0.0438323058,
            -0.0445618555,
            -0.0452914052,
            -0.0460209548,
            -0.0467505045,
            -0.0474800542,
            -0.0482096039,
            -0.0489391536,
            -0.0496687032,
            -0.0503982529,
            -0.0511278026,
            -0.0518573523,
            -0.0525869019,
            -0.0533164516,
            -0.0540459976,
            -0.054775551,
            -0.0555050969,
            -0.0562346503,
            -0.0569641963,
            -0.0576937497,
            -0.0584232956,
            -0.0591528453,
            -0.059882395,
            -0.0606119446,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0603189766,
            -0.059589427,
            -0.0588598773,
            -0.0581303276,
            -0.0574007779,
            -0.0566712283,
            -0.0559416786,
            -0.0552121289,
            -0.0544825792,
            -0.0537530296,
            -0.0530234799,
            -0.0522939302,
            -0.0515643805,
            -0.0508348346,
            -0.0501052812,
            -0.0493757352,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.049209144,
            -0.0499386936,
            -0.0506682433,
            -0.051397793,
            -0.0521273427,
            -0.0528568923,
            -0.053586442,
            -0.0543159917,
            -0.0550455414,
            -0.0557750911,
            -0.056504637,
            -0.0572341904,
            -0.0579637364,
            -0.0586932898,
            -0.0594228357,
            -0.0601523891,
            -0.0609144904,
            -0.0618872195,
            -0.0628599524,
            -0.0638326854,
            -0.0648054183,
            -0.0657781512,
            -0.0667508841,
            -0.067723617,
            -0.0686963499,
            -0.0696690828,
            -0.0706418157,
            -0.0716145486,
            -0.0725872815,
            -0.0735600144,
            -0.0745327473,
            -0.0755054802,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0771139339,
            -0.0778434873,
            -0.0785730332,
            -0.0793025866,
            -0.0800321326,
            -0.080761686,
            -0.0814912319,
            -0.0822207853,
            -0.0829503313,
            -0.0836798847,
            -0.0844094306,
            -0.085138984,
            -0.08586853,
            -0.0865980834,
            -0.0873276293,
            -0.0880571827,
            -0.0887867287,
            -0.0895162821,
            -0.090245828,
            -0.0909753814,
            -0.0917049274,
            -0.0924344808,
            -0.0931640267,
            -0.0938935801,
            -0.0946231261,
            -0.0953526795,
            -0.0960822254,
            -0.0968117714,
            -0.0975413248,
            -0.0982708782,
            -0.0990004241,
            -0.0997299701,
            -0.100459523,
            -0.101189069,
            -0.101918615,
            -0.102648169,
            -0.103377715,
            -0.104107261,
            -0.104836807,
            -0.105566353,
            -0.106295906,
            -0.107025452,
            -0.107754998,
            -0.108484544,
            -0.109214097,
            -0.109943643,
            -0.110673189,
            -0.111402735,
            -0.112622485,
            -0.114324771,
            -0.116027057,
            -0.117729343,
            -0.11943163,
            -0.121133916,
            -0.122836202,
            -0.124538489,
            -0.126240775,
            -0.127943054,
            -0.129645348,
            -0.131347626,
            -0.13304992,
            -0.134752199,
            -0.136454493,
            -0.138156772,
            -0.139491409,
            -0.14022097,
            -0.140950516,
            -0.141680062,
            -0.142409608,
            -0.143139154,
            -0.143868715,
            -0.144598261,
            -0.145327806,
            -0.146057352,
            -0.146786913,
            -0.147516459,
            -0.148246005,
            -0.148975551,
            -0.149705112,
            -0.150434658,
            -0.151164204,
            -0.15189375,
            -0.152623311,
            -0.153352857,
            -0.154082403,
            -0.154811949,
            -0.155541509,
            -0.156271055,
            -0.157000601,
            -0.157730147,
            -0.158459708,
            -0.159189254,
            -0.1599188,
            -0.160648346,
            -0.161377907,
            -0.162107453,
            -0.162836999,
            -0.163566545,
            -0.164296106,
            -0.165025651,
            -0.165755197,
            -0.166484743,
            -0.167214304,
            -0.16794385,
            -0.168673396,
            -0.169402942,
            -0.170132503,
            -0.170862049,
            -0.171591595,
            -0.172321141,
            -0.173050702,
            -0.173780248
          ],
          [
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186912134,
            -0.18764168,
            -0.188371241,
            -0.189100787,
            -0.189830333,
            -0.190559879,
            -0.19128944,
            -0.192018986,
            -0.192748532,
            -0.193478078,
            -0.194207639,
            -0.194937184,
            -0.19566673,
            -0.196396276,
            -0.197125837,
            -0.197855383,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198644295,
            -0.199617028,
            -0.200589761,
            -0.201562494,
            -0.202535227,
            -0.20350796,
            -0.204480693,
            -0.205453426,
            -0.206426159,
            -0.207398891,
            -0.208371624,
            -0.209344357,
            -0.210317075,
            -0.211289823,
            -0.212262541,
            -0.213235289,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.21361059,
            -0.212637857,
            -0.211665124,
            -0.210692391,
            -0.209719658,
            -0.208746925,
            -0.207774192,
            -0.206801459,
            -0.205828726,
            -0.204855993,
            -0.20388326,
            -0.202910528,
            -0.201937795,
            -0.200965062,
            -0.199992329,
            -0.199019596,
            -0.198046863,
            -0.197315395,
            -0.196585849,
            -0.195856303,
            -0.195126757,
            -0.194397196,
            -0.19366765,
            -0.192938104,
            -0.192208558,
            -0.191478997,
            -0.190749452,
            -0.190019906,
            -0.18929036,
            -0.188560799,
            -0.187831253,
            -0.187101707,
            -0.186372161,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.185826436,
            -0.185096875,
            -0.184367329,
            -0.183637783,
            -0.182908237,
            -0.182178676,
            -0.18144913,
            -0.180719584,
            -0.179990038,
            -0.179260477,
            -0.178530931,
            -0.177801386,
            -0.17707184,
            -0.176342279,
            -0.175612733,
            -0.174883187,
            -0.174153641,
            -0.17342408,
            -0.172694534,
            -0.171964988,
            -0.171235442,
            -0.170505881,
            -0.169776335,
            -0.169046789,
            -0.168317243,
            -0.167587683,
            -0.166858137,
            -0.166128591,
            -0.165399045,
            -0.164669484,
            -0.163939938,
            -0.163210392,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162572756,
            -0.16184321,
            -0.16111365,
            -0.160384104,
            -0.159654558,
            -0.158925012,
            -0.158195451,
            -0.157465905,
            -0.156736359,
            -0.156006813,
            -0.155277252,
            -0.154547706,
            -0.15381816,
            -0.153088614,
            -0.152359053,
            -0.151629508,
            -0.150899962,
            -0.150170416,
            -0.149440855,
            -0.148711309,
            -0.147981763,
            -0.147252217,
            -0.146522656,
            -0.14579311,
            -0.145063564,
            -0.144334018,
            -0.143604457,
            -0.142874911,
            -0.142145365,
            -0.14141582,
            -0.140686274,
            -0.139956713,
            -0.139227167,
            -0.137540206,
            -0.135837913,
            -0.134135634,
            -0.13243334,
            -0.130731061,
            -0.129028767,
            -0.127326488,
            -0.125624195,
            -0.123921908,
            -0.122219622,
            -0.120517343,
            -0.11881505,
            -0.117112771,
            -0.115410477,
            -0.113708198,
            -0.112005904,
            -0.111138493,
            -0.110408947,
            -0.109679393,
            -0.108949848,
            -0.108220302,
            -0.107490756,
            -0.106761202,
            -0.106031656,
            -0.10530211,
            -0.104572564,
            -0.103843018,
            -0.103113465,
            -0.102383919,
            -0.101654373,
            -0.100924827,
            -0.100195274,
            -0.0989314914,
            -0.097472392,
            -0.0960132927,
            -0.0945541933,
            -0.093095094,
            -0.0916359946,
            -0.0901768953,
            -0.0887177959,
            -0.0872586966,
            -0.0857995972,
            -0.0843404979,
            -0.0828813985,
            -0.0814222991,
            -0.0799631998,
            -0.0785041004,
            -0.0770450011,
            -0.0754384622,
            -0.0737361759,
            -0.072033897,
            -0.0703316182,
            -0.0686293319,
            -0.0669270456,
            -0.0652247667,
            -0.0635224879,
            -0.0618202016,
            -0.0601179227,
            -0.0584156364,
            -0.0567133576,
            -0.0550110713,
            -0.0533087924,
            -0.0516065061,
            -0.0499042273,
            -0.0479683354,
            -0.0457796864,
            -0.0435910374,
            -0.0414023884,
            -0.0392137393,
            -0.0370250903,
            -0.0348364413,
            -0.0326477922,
            -0.0304591451,
            -0.0282704961,
            -0.026081847,
            -0.023893198,
            -0.021704549,
            -0.0195158999,
            -0.0173272528,
            -0.0151386037,
            -0.0128637869,
            -0.0104319546,
            -0.00800012238,
            -0.00556829106,
            -0.00313645881,
            -0.000704627484,
            0.00172720477,
            0.00415903702,
            0.00659086928,
            0.00902270153,
            0.0114545319,
            0.0138863642,
            0.0163181964,
            0.0187500268,
            0.0211818591,
            0.0236136913,
            0.025823405,
            0.0272825044,
            0.0287416019,
            0.0302007012,
            0.0316598006,
            0.0331188999,
            0.0345779993,
            0.0360370986,
            0.037496198,
            0.0389552973,
            0.0404143967,
            0.041873496,
            0.0433325954,
            0.0447916947,
            0.0462507904,
            0.0477098897,
            0.0491938852,
            0.0508961678,
            0.0525984503,
            0.0543007329,
            0.0560030118,
            0.0577052981,
            0.0594075769,
            0.0611098595,
            0.0628121421,
            0.0645144284,
            0.0662167072,
            0.0679189861,
            0.0696212724,
            0.0713235587,
            0.0730258375,
            0.0747281164,
            0.0764304027,
            0.0778952464,
            0.0793543458,
            0.0808134452,
            0.0822725445,
            0.0837316439,
            0.0851907432,
            0.0866498426,
            0.0881089419,
            0.0895680413,
            0.0910271406,
            0.09248624,
            0.0939453393,
            0.0954044312,
            0.096863538,
            0.0983226299,
            0.0997817367,
            0.100620426,
            0.10134998,
            0.102079526,
            0.102809079,
            0.103538625,
            0.104268178,
            0.104997724,
            0.105727278,
            0.106456824,
            0.107186377,
            0.107915923,
            0.108645476,
            0.109375022,
            0.110104576,
            0.110834122,
            0.111563675,
            0.112997882,
            0.114700161,
            0.11640244,
            0.118104726,
            0.119807005,
            0.121509291,
            0.12321157,
            0.124913856,
            0.126616135,
            0.128318414,
            0.130020708,
            0.131722987,
            0.133425266,
            0.135127544,
            0.136829838,
            0.138532117,
            0.140088871,
            0.141547978,
            0.143007085,
            0.144466177,
            0.145925283,
            0.14738439,
            0.148843482,
            0.150302589,
            0.151761696,
            0.153220803,
            0.154679894,
            0.156139001,
            0.157598108,
            0.159057215,
            0.160516307,
            0.161975414,
            0.16343452,
            0.164893612,
            0.166352704,
            0.167811796,
            0.169270903,
            0.170729995,
            0.172189087,
            0.173648179,
            0.17510727,
            0.176566377,
            0.178025469,
            0.179484561,
            0.180943668,
            0.18240276,
            0.183861852,
            0.185320944,
            0.186611533,
            0.187584281,
            0.188557014,
            0.189529747,
            0.19050248,
            0.191475227,
            0.19244796,
            0.193420693,
            0.194393426,
            0.195366174,
            0.196338907,
            0.19731164,
            0.198284373,
            0.19925712,
            0.200229853,
            0.201202586,
            0.202121705,
            0.202851251,
            0.203580797,
            0.204310343,
            0.205039889,
            0.205769435,
            0.206498981,
            0.207228526,
            0.207958072,
            0.208687618,
            0.209417164,
            0.21014671,
            0.210876256,
            0.211605802,
            0.212335348,
            0.213064894,
            0.21379444,
            0.214523986,
            0.215253547,
            0.215983093,
            0.216712639,
            0.217442185,
            0.218171746,
            0.218901291,
            0.219630837,
            0.220360383,
            0.221089929,
            0.22181949,
            0.222549036,
            0.223278582,
            0.224008143,
            0.224737689,
            0.225467235,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.224875554,
            0.224146008,
            0.223416448,
            0.222686902,
            0.221957356,
            0.22122781,
            0.220498249,
            0.219768703,
            0.219039157,
            0.218309611,
            0.21758005,
            0.216850504,
            0.216120958,
            0.215391412,
            0.214661852,
            0.213932306,
            0.21320276,
            0.212473214,
            0.211743668,
            0.211014122,
            0.210284576,
            0.20955503,
            0.208825484,
            0.208095938,
            0.207366392,
            0.206636846,
            0.2059073,
            0.205177754,
            0.204448208,
            0.203718662,
            0.202989116,
            0.20225957,
            0.201386407,
            0.200413674,
            0.199440941,
            0.198468208,
            0.197495461,
            0.196522728,
            0.195549995,
            0.194577262,
            0.193604514,
            0.192631781,
            0.191659048,
            0.190686315,
            0.189713567,
            0.188740835,
            0.187768102,
            0.186795369,
            0.185935602,
            0.185206056,
            0.18447651,
            0.183746949,
            0.183017403,
            0.182287857,
            0.181558311,
            0.18082875,
            0.180099204,
            0.179369658,
            0.178640112,
            0.177910566,
            0.177181005,
            0.17645146,
            0.175721914,
            0.174992353,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174354717,
            0.173625171,
            0.172895625,
            0.172166079,
            0.171436533,
            0.170706987,
            0.169977441,
            0.169247895,
            0.16851835,
            0.167788804,
            0.167059258,
            0.166329712,
            0.165600166,
            0.16487062,
            0.164141074,
            0.163411528,
            0.162681982,
            0.161952436,
            0.161222875,
            0.160493329,
            0.159763768,
            0.159034222,
            0.158304662,
            0.157575116,
            0.156845555,
            0.156116009,
            0.155386448,
            0.154656902,
            0.153927356,
            0.153197795,
            0.152468234,
            0.151738688,
            0.151009142,
            0.149345145,
            0.147642866,
            0.145940587,
            0.144238308,
            0.142536014,
            0.140833735,
            0.139131457,
            0.137429178,
            0.135726884,
            0.134024605,
            0.132322326,
            0.130620047,
            0.128917754,
            0.127215475,
            0.125513196,
            0.123810917,
            0.122311607,
            0.120852508,
            0.119393408,
            0.117934309,
            0.11647521,
            0.11501611,
            0.113557011,
            0.112097912,
            0.110638812,
            0.109179713,
            0.107720613,
            0.106261514,
            0.104802415,
            0.103343315,
            0.101884216,
            0.100425117,
            0.0989660174,
            0.097506918,
            0.0960478187,
            0.0945887193,
            0.09312962,
            0.0916705206,
            0.0902114213,
            0.0887523219,
            0.0872932225,
            0.0858341232,
            0.0843750238,
            0.0829159245,
            0.0814568251,
            0.0799977258,
            0.0785386264,
            0.0770795271,
            0.0759038255,
            0.0749310926,
            0.0739583597,
            0.0729856268,
            0.0720128939,
            0.071040161,
            0.0700674281,
            0.0690946952,
            0.0681219622,
            0.0671492293,
            0.0661764964,
            0.0652037635,
            0.0642310306,
            0.0632582977,
            0.0622855648,
            0.0613128319,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0605430715,
            0.0598135218,
            0.0590839721,
            0.0583544225,
            0.0576248728,
            0.0568953231,
            0.0561657734,
            0.0554362237,
            0.0547066741,
            0.0539771244,
            0.0532475747,
            0.052518025,
            0.0517884754,
            0.0510589257,
            0.050329376,
            0.0495998263,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0496228039,
            0.0503523536,
            0.0510819033,
            0.051811453,
            0.0525410026,
            0.0532705523,
            0.054000102,
            0.0547296517,
            0.0554592013,
            0.056188751,
            0.0569183007,
            0.0576478504,
            0.0583774,
            0.0591069497,
            0.0598364994,
            0.0605660491,
            0.0614660196,
            0.0624387525,
            0.0634114817,
            0.0643842146,
            0.0653569475,
            0.0663296804,
            0.0673024133,
            0.0682751462,
            0.0692478791,
            0.070220612,
            0.0711933449,
            0.0721660778,
            0.0731388107,
            0.0741115436,
            0.0750842765,
            0.0760570094,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0767061338,
            0.0774356872,
            0.0781652331,
            0.0788947865,
            0.0796243325,
            0.0803538859,
            0.0810834318,
            0.0818129852,
            0.0825425312,
            0.0832720846,
            0.0840016305,
            0.0847311839,
            0.0854607299,
            0.0861902833,
            0.0869198292,
            0.0876493827,
            0.0883789286,
            0.089108482,
            0.089838028,
            0.0905675814,
            0.0912971273,
            0.0920266807,
            0.0927562267,
            0.0934857801,
            0.094215326,
            0.0949448794,
            0.0956744254,
            0.0964039788,
            0.0971335247,
            0.0978630781,
            0.0985926241,
            0.0993221775,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100689359,
            0.101418912,
            0.102148458,
            0.102878012,
            0.103607558,
            0.104337111,
            0.105066657,
            0.10579621,
            0.106525756,
            0.10725531,
            0.107984856,
            0.108714409,
            0.109443955,
            0.110173509,
            0.110903054,
            0.111632608,
            0.112362154,
            0.113091707,
            0.113821253,
            0.114550807,
            0.115280353,
            0.116009906,
            0.116739452,
            0.117469005,
            0.118198551,
            0.118928105,
            0.119657651,
            0.120387204,
            0.12111675,
            0.121846303,
            0.122575849,
            0.123305395,
            0.124203451,
            0.125176191,
            0.126148924,
            0.127121657,
            0.12809439,
            0.129067123,
            0.130039856,
            0.131012589,
            0.131985322,
            0.132958055,
            0.133930787,
            0.13490352,
            0.135876253,
            0.136848986,
            0.137821719,
            0.138794452,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139353573,
            0.140083119,
            0.14081268,
            0.141542226,
            0.142271772,
            0.143001318,
            0.143730879,
            0.144460425,
            0.145189971,
            0.145919517,
            0.146649078,
            0.147378623,
            0.148108169,
            0.148837715,
            0.149567276,
            0.150296822,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151204452,
            0.151933998,
            0.152663559,
            0.153393105,
            0.154122666,
            0.154852211,
            0.155581772,
            0.156311318,
            0.157040879,
            0.157770425,
            0.158499986,
            0.159229532,
            0.159959093,
            0.160688639,
            0.1614182,
            0.162147745,
            0.162877306,
            0.163606852,
            0.164336398,
            0.165065944,
            0.16579549,
            0.166525036,
            0.167254582,
            0.167984128,
            0.168713674,
            0.16944322,
            0.170172766,
            0.170902312,
            0.171631858,
            0.172361404,
            0.17309095,
            0.173820496,
            0.174469605,
            0.173740059,
            0.173010513,
            0.172280967,
            0.171551421,
            0.170821875,
            0.170092344,
            0.169362783,
            0.168633252,
            0.167903692,
            0.16717416,
            0.1664446,
            0.165715069,
            0.164985508,
            0.164255977,
            0.163526416,
            0.162796885,
            0.16138947,
            0.159930378,
            0.158471271,
            0.157012165,
            0.155553058,
            0.154093966,
            0.152634859,
            0.151175752,
            0.149716645,
            0.148257554,
            0.146798447,
            0.14533934,
            0.143880248,
            0.142421141,
            0.140962034,
            0.139502928,
            0.138434455,
            0.137461722,
            0.136488989,
            0.135516256,
            0.134543523,
            0.13357079,
            0.132598057,
            0.131625324,
            0.130652592,
            0.129679859,
            0.128707126,
            0.127734393,
            0.12676166,
            0.125788927,
            0.124816202,
            0.123843469,
            0.123035409,
            0.122305855,
            0.121576309,
            0.120846763,
            0.12011721,
            0.119387664,
            0.11865811,
            0.117928565,
            0.117199011,
            0.116469465,
            0.115739912,
            0.115010366,
            0.114280812,
            0.113551266,
            0.112821713,
            0.112092167,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111799195,
            0.112528749,
            0.113258295,
            0.113987848,
            0.114717394,
            0.11544694,
            0.116176493,
            0.116906047,
            0.117635593,
            0.118365139,
            0.119094692,
            0.119824246,
            0.120553792,
            0.121283337,
            0.122012891,
            0.122742437,
            0.12347199,
            0.124425575,
            0.125398308,
            0.126371041,
            0.127343774,
            0.128316507,
            0.12928924,
            0.130261973,
            0.131234705,
            0.132207438,
            0.133180171,
            0.134152904,
            0.135125637,
            0.13609837,
            0.137071103,
            0.138043836,
            0.139016569,
            0.139795899,
            0.140525445,
            0.141255006,
            0.141984552,
            0.142714098,
            0.143443644,
            0.144173205,
            0.144902751,
            0.145632297,
            0.146361843,
            0.147091404,
            0.14782095,
            0.148550496,
            0.149280041,
            0.150009602,
            0.150739148,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151376784,
            0.152106345,
            0.152835891,
            0.153565452,
            0.154294997,
            0.155024558,
            0.155754104,
            0.15648365,
            0.157213211,
            0.157942757,
            0.158672318,
            0.159401864,
            0.160131425,
            0.160860971,
            0.161590531,
            0.162320077,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162773907,
            0.163503453,
            0.164232999,
            0.16496253,
            0.165692091,
            0.166421622,
            0.167151183,
            0.167880714,
            0.168610275,
            0.169339806,
            0.170069352,
            0.170798898,
            0.171528459,
            0.17225799,
            0.172987536,
            0.173717082,
            0.174446627,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174027294,
            0.173297748,
            0.172568202,
            0.171838656,
            0.17110911,
            0.170379564,
            0.169650018,
            0.168920472,
            0.168190926,
            0.16746138,
            0.166731834,
            0.166002288,
            0.165272743,
            0.164543197,
            0.163813651,
            0.163084105,
            0.161963925,
            0.160504818,
            0.159045726,
            0.157586619,
            0.156127512,
            0.154668406,
            0.153209314,
            0.151750207,
            0.1502911,
            0.148831993,
            0.147372901,
            0.145913795,
            0.144454688,
            0.142995596,
            0.141536489,
            0.140077382,
            0.138518706,
            0.136816427,
            0.135114148,
            0.133411869,
            0.131709576,
            0.130007297,
            0.128305018,
            0.126602739,
            0.124900453,
            0.123198166,
            0.121495888,
            0.119793609,
            0.118091322,
            0.116389036,
            0.114686757,
            0.112984478,
            0.111557931,
            0.110828377,
            0.110098831,
            0.109369278,
            0.108639732,
            0.107910179,
            0.107180633,
            0.106451079,
            0.105721533,
            0.10499198,
            0.104262434,
            0.103532881,
            0.102803335,
            0.102073781,
            0.101344235,
            0.100614682,
            0.0998851359,
            0.0991555825,
            0.0984260365,
            0.0976964831,
            0.0969669372,
            0.0962373838,
            0.0955078378,
            0.0947782844,
            0.0940487385,
            0.0933191851,
            0.0925896391,
            0.0918600857,
            0.0911305398,
            0.0904009864,
            0.0896714404,
            0.088941887,
            0.0882123411,
            0.0874827877,
            0.0867532417,
            0.0860236883,
            0.0852941424,
            0.0845645964,
            0.083835043,
            0.0831054971,
            0.0823759437,
            0.0816463977,
            0.0809168443,
            0.0801872984,
            0.079457745,
            0.078728199,
            0.0779986456,
            0.0772690997,
            0.0765395463,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0768554956,
            0.0775850415,
            0.0783145949,
            0.0790441409,
            0.0797736943,
            0.0805032402,
            0.0812327936,
            0.0819623396,
            0.082691893,
            0.0834214389,
            0.0841509923,
            0.0848805383,
            0.0856100917,
            0.0863396376,
            0.087069191,
            0.087798737,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0881261751,
            0.0873966217,
            0.0866670758,
            0.0859375224,
            0.0852079764,
            0.084478423,
            0.083748877,
            0.0830193236,
            0.0822897777,
            0.0815602243,
            0.0808306783,
            0.0801011249,
            0.079371579,
            0.0786420256,
            0.0779124796,
            0.0771829337,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0755974501,
            0.0746247172,
            0.0736519843,
            0.0726792514,
            0.0717065185,
            0.0707337856,
            0.0697610527,
            0.0687883198,
            0.0678155869,
            0.066842854,
            0.0658701211,
            0.0648973882,
            0.0639246553,
            0.0629519224,
            0.0619791932,
            0.0610064603,
            0.0596584193,
            0.05819932,
            0.0567402244,
            0.055281125,
            0.0538220257,
            0.0523629263,
            0.050903827,
            0.0494447276,
            0.0479856282,
            0.0465265289,
            0.0450674295,
            0.0436083302,
            0.0421492308,
            0.0406901315,
            0.0392310321,
            0.0377719328,
            0.0363128334,
            0.0348537341,
            0.0333946347,
            0.0319355354,
            0.0304764379,
            0.0290173385,
            0.0275582392,
            0.0260991398,
            0.0246400405,
            0.0231809411,
            0.0217218418,
            0.0202627424,
            0.0188036431,
            0.0173445456,
            0.0158854462,
            0.0144263469,
            0.0133463833,
            0.0126168337,
            0.011887284,
            0.0111577343,
            0.0104281846,
            0.00969863497,
            0.00896908529,
            0.00823953561,
            0.0075099864,
            0.00678043673,
            0.00605088752,
            0.00532133784,
            0.00459178817,
            0.00386223849,
            0.00313268881,
            0.00240313914,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.0015050848,
            -0.000197197543,
            -0.00189947989,
            -0.00360176247,
            -0.00530404458,
            -0.00700632669,
            -0.00870860927,
            -0.0104108918,
            -0.0121131744,
            -0.013815457,
            -0.0155177396,
            -0.0172200222,
            -0.0189223029,
            -0.0206245854,
            -0.022326868,
            -0.0240291506,
            -0.0255935658,
            -0.0263231155,
            -0.0270526651,
            -0.0277822148,
            -0.0285117645,
            -0.0292413142,
            -0.029970862,
            -0.0307004116,
            -0.0314299613,
            -0.032159511,
            -0.0328890607,
            -0.0336186104,
            -0.03434816,
            -0.0350777097,
            -0.0358072594,
            -0.0365368091,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.037812084,
            -0.0385416336,
            -0.0392711833,
            -0.040000733,
            -0.0407302827,
            -0.0414598323,
            -0.042189382,
            -0.0429189317,
            -0.0436484814,
            -0.044378031,
            -0.0451075807,
            -0.0458371304,
            -0.0465666801,
            -0.0472962297,
            -0.0480257794,
            -0.0487553291,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0494619012,
            -0.0511641838,
            -0.0528664663,
            -0.0545687489,
            -0.0562710315,
            -0.0579733104,
            -0.0596755967,
            -0.0613778755,
            -0.0630801618,
            -0.0647824407,
            -0.066484727,
            -0.0681870058,
            -0.0698892921,
            -0.071591571,
            -0.0732938498,
            -0.0749961361,
            -0.0765682086,
            -0.077297762,
            -0.078027308,
            -0.0787568614,
            -0.0794864073,
            -0.0802159607,
            -0.0809455067,
            -0.0816750601,
            -0.082404606,
            -0.0831341594,
            -0.0838637054,
            -0.0845932588,
            -0.0853228047,
            -0.0860523582,
            -0.0867819041,
            -0.0875114501,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0886948183,
            -0.0894243643,
            -0.0901539177,
            -0.0908834636,
            -0.091613017,
            -0.092342563,
            -0.0930721164,
            -0.0938016623,
            -0.0945312157,
            -0.0952607617,
            -0.0959903151,
            -0.096719861,
            -0.0974494144,
            -0.0981789604,
            -0.0989085138,
            -0.0996380597,
            -0.100735262,
            -0.102194354,
            -0.103653453,
            -0.105112553,
            -0.106571652,
            -0.108030751,
            -0.109489851,
            -0.11094895,
            -0.112408049,
            -0.113867149,
            -0.115326248,
            -0.116785347,
            -0.118244447,
            -0.119703546,
            -0.121162646,
            -0.122621745,
            -0.124172755,
            -0.125875041,
            -0.12757732,
            -0.129279613,
            -0.130981892,
            -0.132684171,
            -0.134386465,
            -0.136088744,
            -0.137791038,
            -0.139493316,
            -0.141195595,
            -0.142897889,
            -0.144600168,
            -0.146302447,
            -0.14800474,
            -0.149707019,
            -0.151164204,
            -0.15189375,
            -0.152623311,
            -0.153352857,
            -0.154082403,
            -0.154811949,
            -0.155541509,
            -0.156271055,
            -0.157000601,
            -0.157730147,
            -0.158459708,
            -0.159189254,
            -0.1599188,
            -0.160648346,
            -0.161377907,
            -0.162107453,
            -0.162836999,
            -0.163566545,
            -0.164296106,
            -0.165025651,
            -0.165755197,
            -0.166484743,
            -0.167214304,
            -0.16794385,
            -0.168673396,
            -0.169402942,
            -0.170132503,
            -0.170862049,
            -0.171591595,
            -0.172321141,
            -0.173050702,
            -0.173780248
          ],
          [
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198766842,
            -0.199739575,
            -0.200712308,
            -0.201685041,
            -0.202657774,
            -0.203630507,
            -0.20460324,
            -0.205575973,
            -0.206548706,
            -0.207521439,
            -0.208494172,
            -0.209466904,
            -0.210439637,
            -0.21141237,
            -0.212385103,
            -0.213357836,
            -0.214179292,
            -0.214908838,
            -0.215638384,
            -0.216367945,
            -0.217097491,
            -0.217827037,
            -0.218556583,
            -0.219286144,
            -0.22001569,
            -0.220745236,
            -0.221474782,
            -0.222204342,
            -0.222933888,
            -0.223663434,
            -0.22439298,
            -0.225122541,
            -0.225852087,
            -0.226581633,
            -0.227311179,
            -0.22804074,
            -0.228770286,
            -0.229499832,
            -0.230229378,
            -0.230958939,
            -0.231688485,
            -0.232418031,
            -0.233147576,
            -0.233877137,
            -0.234606683,
            -0.235336229,
            -0.236065775,
            -0.236795336,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237168714,
            -0.236439168,
            -0.235709623,
            -0.234980077,
            -0.234250516,
            -0.23352097,
            -0.232791424,
            -0.232061878,
            -0.231332317,
            -0.230602771,
            -0.229873225,
            -0.229143679,
            -0.228414118,
            -0.227684572,
            -0.226955026,
            -0.22622548,
            -0.225495934,
            -0.224766374,
            -0.224036828,
            -0.223307282,
            -0.222577736,
            -0.221848175,
            -0.221118629,
            -0.220389083,
            -0.219659537,
            -0.218929976,
            -0.21820043,
            -0.217470884,
            -0.216741338,
            -0.216011778,
            -0.215282232,
            -0.214552686,
            -0.21382314,
            -0.214357376,
            -0.215086922,
            -0.215816468,
            -0.216546014,
            -0.217275575,
            -0.218005121,
            -0.218734667,
            -0.219464213,
            -0.220193774,
            -0.220923319,
            -0.221652865,
            -0.222382411,
            -0.223111972,
            -0.223841518,
            -0.224571064,
            -0.22530061,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.22504212,
            -0.224312559,
            -0.223583013,
            -0.222853467,
            -0.222123921,
            -0.22139436,
            -0.220664814,
            -0.219935268,
            -0.219205722,
            -0.218476161,
            -0.217746615,
            -0.217017069,
            -0.216287524,
            -0.215557963,
            -0.214828417,
            -0.214098871,
            -0.213250607,
            -0.212277874,
            -0.211305141,
            -0.210332409,
            -0.209359676,
            -0.208386943,
            -0.20741421,
            -0.206441477,
            -0.205468744,
            -0.204496011,
            -0.203523278,
            -0.202550545,
            -0.201577812,
            -0.20060508,
            -0.199632347,
            -0.198659614,
            -0.197774962,
            -0.197045401,
            -0.196315855,
            -0.195586309,
            -0.194856763,
            -0.194127202,
            -0.193397656,
            -0.19266811,
            -0.191938564,
            -0.191209018,
            -0.190479457,
            -0.189749911,
            -0.189020365,
            -0.18829082,
            -0.187561259,
            -0.186831713,
            -0.186102167,
            -0.185372621,
            -0.18464306,
            -0.183913514,
            -0.183183968,
            -0.182454422,
            -0.181724861,
            -0.180995315,
            -0.180265769,
            -0.179536223,
            -0.178806663,
            -0.178077117,
            -0.177347571,
            -0.176618025,
            -0.175888464,
            -0.175158918,
            -0.174429372,
            -0.173699826,
            -0.172970265,
            -0.172240719,
            -0.171511173,
            -0.170781627,
            -0.170052066,
            -0.16932252,
            -0.168592975,
            -0.167863429,
            -0.167133868,
            -0.166404322,
            -0.165674776,
            -0.16494523,
            -0.164215684,
            -0.163486123,
            -0.162756577,
            -0.161308974,
            -0.159849867,
            -0.158390775,
            -0.156931669,
            -0.155472577,
            -0.15401347,
            -0.152554378,
            -0.151095271,
            -0.149636179,
            -0.148177072,
            -0.146717981,
            -0.145258874,
            -0.143799782,
            -0.142340675,
            -0.140881583,
            -0.139422476,
            -0.138380811,
            -0.137408078,
            -0.136435345,
            -0.135462612,
            -0.134489879,
            -0.133517131,
            -0.132544398,
            -0.131571665,
            -0.130598933,
            -0.1296262,
            -0.128653467,
            -0.127680734,
            -0.126708001,
            -0.125735253,
            -0.124762528,
            -0.123789795,
            -0.122460902,
            -0.121001802,
            -0.119542703,
            -0.118083604,
            -0.116624504,
            -0.115165405,
            -0.113706306,
            -0.112247206,
            -0.110788107,
            -0.109329008,
            -0.107869908,
            -0.106410809,
            -0.10495171,
            -0.10349261,
            -0.102033511,
            -0.100574411,
            -0.0991153121,
            -0.0976562127,
            -0.0961971134,
            -0.094738014,
            -0.0932789147,
            -0.0918198153,
            -0.090360716,
            -0.0889016166,
            -0.0874425173,
            -0.0859834179,
            -0.0845243186,
            -0.0830652267,
            -0.0816061199,
            -0.080147028,
            -0.0786879212,
            -0.0772288293,
            -0.0753025115,
            -0.0728706792,
            -0.0704388469,
            -0.0680070147,
            -0.0655751824,
            -0.0631433502,
            -0.0607115179,
            -0.0582796857,
            -0.0558478534,
            -0.0534160212,
            -0.0509841889,
            -0.0485523567,
            -0.0461205244,
            -0.0436886922,
            -0.0412568599,
            -0.0388250276,
            -0.0363931954,
            -0.0339613669,
            -0.0315295346,
            -0.0290977024,
            -0.0266658701,
            -0.0242340378,
            -0.0218022056,
            -0.0193703733,
            -0.0169385411,
            -0.0145067088,
            -0.0120748784,
            -0.00964304619,
            -0.00721121393,
            -0.00477938354,
            -0.00234755129,
            8.42809677e-5,
            0.00229399418,
            0.0037530933,
            0.00521219242,
            0.00667129178,
            0.0081303902,
            0.00958948955,
            0.0110485889,
            0.0125076883,
            0.0139667876,
            0.015425887,
            0.0168849863,
            0.0183440857,
            0.019803185,
            0.0212622844,
            0.0227213819,
            0.0241804812,
            0.0257142596,
            0.0279029086,
            0.0300915577,
            0.0322802067,
            0.0344688557,
            0.0366575047,
            0.03884615,
            0.0410348028,
            0.0432234481,
            0.0454121009,
            0.0476007462,
            0.0497893952,
            0.0519780442,
            0.0541666932,
            0.0563553423,
            0.0585439913,
            0.0607326403,
            0.0624464117,
            0.0641486943,
            0.0658509731,
            0.0675532594,
            0.0692555383,
            0.0709578246,
            0.0726601034,
            0.0743623897,
            0.0760646686,
            0.0777669549,
            0.0794692338,
            0.0811715126,
            0.0828737989,
            0.0845760852,
            0.0862783641,
            0.0879806429,
            0.0894761309,
            0.0909352303,
            0.0923943222,
            0.0938534215,
            0.0953125209,
            0.0967716202,
            0.0982307196,
            0.0996898189,
            0.101148918,
            0.102608018,
            0.104067117,
            0.105526216,
            0.106985316,
            0.108444415,
            0.109903514,
            0.111362614,
            0.112997882,
            0.114700161,
            0.11640244,
            0.118104726,
            0.119807005,
            0.121509291,
            0.12321157,
            0.124913856,
            0.126616135,
            0.128318414,
            0.130020708,
            0.131722987,
            0.133425266,
            0.135127544,
            0.136829838,
            0.138532117,
            0.140088871,
            0.141547978,
            0.143007085,
            0.144466177,
            0.145925283,
            0.14738439,
            0.148843482,
            0.150302589,
            0.151761696,
            0.153220803,
            0.154679894,
            0.156139001,
            0.157598108,
            0.159057215,
            0.160516307,
            0.161975414,
            0.16343452,
            0.164893612,
            0.166352704,
            0.167811796,
            0.169270903,
            0.170729995,
            0.172189087,
            0.173648179,
            0.17510727,
            0.176566377,
            0.178025469,
            0.179484561,
            0.180943668,
            0.18240276,
            0.183861852,
            0.185320944,
            0.186611533,
            0.187584281,
            0.188557014,
            0.189529747,
            0.19050248,
            0.191475227,
            0.19244796,
            0.193420693,
            0.194393426,
            0.195366174,
            0.196338907,
            0.19731164,
            0.198284373,
            0.19925712,
            0.200229853,
            0.201202586,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.202029794,
            0.20275934,
            0.203488886,
            0.204218432,
            0.204947978,
            0.205677524,
            0.20640707,
            0.207136616,
            0.207866162,
            0.208595708,
            0.209325254,
            0.2100548,
            0.210784346,
            0.211513892,
            0.212243438,
            0.212972984,
            0.21370253,
            0.214432076,
            0.215161622,
            0.215891182,
            0.216620728,
            0.217350274,
            0.21807982,
            0.218809381,
            0.219538927,
            0.220268473,
            0.220998019,
            0.22172758,
            0.222457126,
            0.223186672,
            0.223916218,
            0.224645779,
            0.225375324,
            0.224875554,
            0.224146008,
            0.223416448,
            0.222686902,
            0.221957356,
            0.22122781,
            0.220498249,
            0.219768703,
            0.219039157,
            0.218309611,
            0.21758005,
            0.216850504,
            0.216120958,
            0.215391412,
            0.214661852,
            0.213932306,
            0.212505758,
            0.210803479,
            0.2091012,
            0.207398921,
            0.205696627,
            0.203994349,
            0.20229207,
            0.200589791,
            0.198887497,
            0.197185218,
            0.195482939,
            0.193780661,
            0.192078367,
            0.190376088,
            0.188673809,
            0.18697153,
            0.185843691,
            0.185114145,
            0.184384599,
            0.183655038,
            0.182925493,
            0.182195947,
            0.181466401,
            0.18073684,
            0.180007294,
            0.179277748,
            0.178548202,
            0.177818641,
            0.177089095,
            0.176359549,
            0.175630003,
            0.174900442,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174262807,
            0.173533261,
            0.172803715,
            0.172074169,
            0.171344623,
            0.170615077,
            0.169885531,
            0.169155985,
            0.168426439,
            0.167696893,
            0.166967347,
            0.166237801,
            0.165508255,
            0.164778709,
            0.164049163,
            0.163319618,
            0.16243498,
            0.160975873,
            0.159516767,
            0.15805766,
            0.156598568,
            0.155139461,
            0.153680354,
            0.152221262,
            0.150762156,
            0.149303049,
            0.147843942,
            0.146384835,
            0.144925743,
            0.143466637,
            0.14200753,
            0.140548438,
            0.139131457,
            0.138158724,
            0.137185991,
            0.136213258,
            0.135240525,
            0.134267792,
            0.133295059,
            0.132322326,
            0.131349593,
            0.13037686,
            0.129404128,
            0.128431395,
            0.127458662,
            0.126485929,
            0.125513196,
            0.124540463,
            0.12356773,
            0.122127779,
            0.120668679,
            0.11920958,
            0.117750481,
            0.116291381,
            0.114832282,
            0.113373183,
            0.111914083,
            0.110454984,
            0.108995885,
            0.107536793,
            0.106077686,
            0.104618594,
            0.103159487,
            0.101700395,
            0.100241289,
            0.0993911102,
            0.0986615568,
            0.0979320109,
            0.0972024575,
            0.0964729115,
            0.0957433581,
            0.0950138122,
            0.0942842588,
            0.0935547128,
            0.0928251594,
            0.0920956135,
            0.0913660601,
            0.0906365141,
            0.0899069607,
            0.0891774148,
            0.0884478614,
            0.0870289803,
            0.085326694,
            0.0836244151,
            0.0819221288,
            0.0802198499,
            0.0785175636,
            0.0768152848,
            0.0751129985,
            0.0734107196,
            0.0717084333,
            0.0700061545,
            0.0683038682,
            0.0666015893,
            0.0648993105,
            0.0631970242,
            0.0614947416,
            0.060359247,
            0.0596296974,
            0.0589001477,
            0.058170598,
            0.0574410483,
            0.0567114986,
            0.055981949,
            0.0552523993,
            0.0545228496,
            0.0537933037,
            0.0530637503,
            0.0523342043,
            0.0516046509,
            0.050875105,
            0.0501455516,
            0.0494160056,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0496228039,
            0.0503523536,
            0.0510819033,
            0.051811453,
            0.0525410026,
            0.0532705523,
            0.054000102,
            0.0547296517,
            0.0554592013,
            0.056188751,
            0.0569183007,
            0.0576478504,
            0.0583774,
            0.0591069497,
            0.0598364994,
            0.0605660491,
            0.0614660196,
            0.0624387525,
            0.0634114817,
            0.0643842146,
            0.0653569475,
            0.0663296804,
            0.0673024133,
            0.0682751462,
            0.0692478791,
            0.070220612,
            0.0711933449,
            0.0721660778,
            0.0731388107,
            0.0741115436,
            0.0750842765,
            0.0760570094,
            0.076889962,
            0.0776195079,
            0.0783490613,
            0.0790786073,
            0.0798081607,
            0.0805377066,
            0.08126726,
            0.081996806,
            0.0827263594,
            0.0834559053,
            0.0841854587,
            0.0849150047,
            0.0856445581,
            0.086374104,
            0.0871036574,
            0.0878332034,
            0.0885627568,
            0.0892923027,
            0.0900218561,
            0.0907514021,
            0.0914809555,
            0.0922105014,
            0.0929400548,
            0.0936696008,
            0.0943991542,
            0.0951287001,
            0.0958582535,
            0.0965877995,
            0.0973173529,
            0.0980468988,
            0.0987764448,
            0.0995059982,
            0.100471072,
            0.101930171,
            0.103389271,
            0.10484837,
            0.106307469,
            0.107766569,
            0.109225668,
            0.110684767,
            0.112143867,
            0.113602966,
            0.115062065,
            0.116521165,
            0.117980264,
            0.119439363,
            0.120898463,
            0.122357562,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123598367,
            0.1245711,
            0.125543833,
            0.126516566,
            0.127489299,
            0.128462031,
            0.129434764,
            0.130407497,
            0.13138023,
            0.132352963,
            0.133325696,
            0.134298429,
            0.135271162,
            0.136243895,
            0.137216628,
            0.13818936,
            0.139162093,
            0.13990505,
            0.140634596,
            0.141364142,
            0.142093688,
            0.142823249,
            0.143552795,
            0.144282341,
            0.145011887,
            0.145741448,
            0.146470994,
            0.14720054,
            0.147930086,
            0.148659647,
            0.149389192,
            0.150118738,
            0.150848284,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151026368,
            0.151755929,
            0.152485475,
            0.153215036,
            0.153944582,
            0.154674143,
            0.155403689,
            0.156133235,
            0.156862795,
            0.157592356,
            0.158321902,
            0.159051448,
            0.159781009,
            0.160510555,
            0.161240116,
            0.161969662,
            0.162699223,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162153497,
            0.161423936,
            0.160694391,
            0.15996483,
            0.159235284,
            0.158505723,
            0.157776177,
            0.157046616,
            0.15631707,
            0.155587509,
            0.154857963,
            0.154128402,
            0.153398857,
            0.152669296,
            0.15193975,
            0.151210189,
            0.150480643,
            0.149751097,
            0.149021536,
            0.14829199,
            0.147562444,
            0.146832898,
            0.146103352,
            0.145373791,
            0.144644246,
            0.1439147,
            0.143185154,
            0.142455593,
            0.141726047,
            0.140996501,
            0.140266955,
            0.139537394,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139531657,
            0.140261203,
            0.140990749,
            0.14172031,
            0.142449856,
            0.143179402,
            0.143908948,
            0.144638509,
            0.145368055,
            0.1460976,
            0.146827146,
            0.147556692,
            0.148286253,
            0.149015799,
            0.149745345,
            0.150474906,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150940195,
            0.150210649,
            0.149481103,
            0.148751557,
            0.148021996,
            0.14729245,
            0.146562904,
            0.145833358,
            0.145103812,
            0.144374251,
            0.143644705,
            0.142915159,
            0.142185599,
            0.141456053,
            0.140726507,
            0.139996961,
            0.139267415,
            0.138311908,
            0.137339175,
            0.136366442,
            0.135393709,
            0.134420976,
            0.133448243,
            0.13247551,
            0.131502777,
            0.130530044,
            0.129557312,
            0.128584579,
            0.127611846,
            0.126639113,
            0.12566638,
            0.124693647,
            0.123720914,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123035409,
            0.122305855,
            0.121576309,
            0.120846763,
            0.12011721,
            0.119387664,
            0.11865811,
            0.117928565,
            0.117199011,
            0.116469465,
            0.115739912,
            0.115010366,
            0.114280812,
            0.113551266,
            0.112821713,
            0.112092167,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111799195,
            0.112528749,
            0.113258295,
            0.113987848,
            0.114717394,
            0.11544694,
            0.116176493,
            0.116906047,
            0.117635593,
            0.118365139,
            0.119094692,
            0.119824246,
            0.120553792,
            0.121283337,
            0.122012891,
            0.122742437,
            0.12347199,
            0.124425575,
            0.125398308,
            0.126371041,
            0.127343774,
            0.128316507,
            0.12928924,
            0.130261973,
            0.131234705,
            0.132207438,
            0.133180171,
            0.134152904,
            0.135125637,
            0.13609837,
            0.137071103,
            0.138043836,
            0.139016569,
            0.139795899,
            0.140525445,
            0.141255006,
            0.141984552,
            0.142714098,
            0.143443644,
            0.144173205,
            0.144902751,
            0.145632297,
            0.146361843,
            0.147091404,
            0.14782095,
            0.148550496,
            0.149280041,
            0.150009602,
            0.150739148,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151376784,
            0.152106345,
            0.152835891,
            0.153565452,
            0.154294997,
            0.155024558,
            0.155754104,
            0.15648365,
            0.157213211,
            0.157942757,
            0.158672318,
            0.159401864,
            0.160131425,
            0.160860971,
            0.161590531,
            0.162320077,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163411528,
            0.164141074,
            0.16487062,
            0.165600166,
            0.166329712,
            0.167059258,
            0.167788804,
            0.16851835,
            0.169247895,
            0.169977441,
            0.170706987,
            0.171436533,
            0.172166079,
            0.172895625,
            0.173625171,
            0.174354717,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.17372857,
            0.172269478,
            0.170810372,
            0.16935128,
            0.167892173,
            0.166433081,
            0.164973974,
            0.163514882,
            0.162055776,
            0.160596684,
            0.159137577,
            0.157678485,
            0.156219378,
            0.154760286,
            0.153301179,
            0.151842088,
            0.150283411,
            0.148581132,
            0.146878853,
            0.145176575,
            0.143474281,
            0.141772002,
            0.140069723,
            0.138367444,
            0.136665151,
            0.134962872,
            0.133260593,
            0.131558314,
            0.12985602,
            0.128153741,
            0.126451463,
            0.124749184,
            0.123322636,
            0.122593082,
            0.121863537,
            0.121133983,
            0.120404437,
            0.119674884,
            0.118945338,
            0.118215784,
            0.117486238,
            0.116756685,
            0.116027139,
            0.115297586,
            0.11456804,
            0.113838486,
            0.11310894,
            0.112379387,
            0.111649841,
            0.110920288,
            0.110190742,
            0.109461188,
            0.108731642,
            0.108002089,
            0.107272543,
            0.10654299,
            0.105813444,
            0.10508389,
            0.104354344,
            0.103624791,
            0.102895245,
            0.102165692,
            0.101436146,
            0.100706592,
            0.0999770463,
            0.0992474928,
            0.0985179469,
            0.0977883935,
            0.0970588475,
            0.0963293016,
            0.0955997482,
            0.0948702022,
            0.0941406488,
            0.0934111029,
            0.0926815495,
            0.0919520035,
            0.0912224501,
            0.0904929042,
            0.0897633508,
            0.0890338048,
            0.0883042514,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0879423469,
            0.087212801,
            0.0864832476,
            0.0857537016,
            0.0850241482,
            0.0842946023,
            0.0835650563,
            0.0828355029,
            0.0821059495,
            0.0813764036,
            0.0806468576,
            0.0799173042,
            0.0791877508,
            0.0784582049,
            0.0777286589,
            0.0769991055,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764476359,
            0.075474903,
            0.0745021701,
            0.0735294372,
            0.0725567043,
            0.0715839714,
            0.0706112385,
            0.0696385056,
            0.0686657727,
            0.0676930398,
            0.0667203069,
            0.065747574,
            0.0647748411,
            0.0638021082,
            0.0628293753,
            0.0618566424,
            0.0608839095,
            0.0601294674,
            0.0593999177,
            0.058670368,
            0.0579408184,
            0.0572112687,
            0.056481719,
            0.0557521731,
            0.0550226197,
            0.0542930737,
            0.0535635203,
            0.0528339744,
            0.052104421,
            0.051374875,
            0.0506453253,
            0.0499157757,
            0.049186226,
            0.0478937142,
            0.0464346148,
            0.0449755192,
            0.0435164198,
            0.0420573205,
            0.0405982211,
            0.0391391218,
            0.0376800224,
            0.0362209231,
            0.0347618237,
            0.0333027244,
            0.031843625,
            0.0303845257,
            0.0289254263,
            0.027466327,
            0.0260072276,
            0.0250191763,
            0.0242896266,
            0.023560077,
            0.0228305273,
            0.0221009776,
            0.0213714279,
            0.0206418782,
            0.0199123286,
            0.0191827789,
            0.0184532292,
            0.0177236795,
            0.0169941299,
            0.0162645802,
            0.0155350324,
            0.0148054827,
            0.014075933,
            0.0133463833,
            0.0126168337,
            0.011887284,
            0.0111577343,
            0.0104281846,
            0.00969863497,
            0.00896908529,
            0.00823953561,
            0.0075099864,
            0.00678043673,
            0.00605088752,
            0.00532133784,
            0.00459178817,
            0.00386223849,
            0.00313268881,
            0.00240313914,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.0015050848,
            -0.000197197543,
            -0.00189947989,
            -0.00360176247,
            -0.00530404458,
            -0.00700632669,
            -0.00870860927,
            -0.0104108918,
            -0.0121131744,
            -0.013815457,
            -0.0155177396,
            -0.0172200222,
            -0.0189223029,
            -0.0206245854,
            -0.022326868,
            -0.0240291506,
            -0.0255935658,
            -0.0263231155,
            -0.0270526651,
            -0.0277822148,
            -0.0285117645,
            -0.0292413142,
            -0.029970862,
            -0.0307004116,
            -0.0314299613,
            -0.032159511,
            -0.0328890607,
            -0.0336186104,
            -0.03434816,
            -0.0350777097,
            -0.0358072594,
            -0.0365368091,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0366057418,
            -0.0358761922,
            -0.0351466425,
            -0.0344170928,
            -0.0336875431,
            -0.0329579934,
            -0.0322284475,
            -0.0314988941,
            -0.0307693463,
            -0.0300397966,
            -0.0293102469,
            -0.0285806973,
            -0.0278511494,
            -0.0271215998,
            -0.0263920501,
            -0.0256625004,
            -0.0260473806,
            -0.0267769285,
            -0.0275064781,
            -0.0282360278,
            -0.0289655775,
            -0.0296951272,
            -0.0304246768,
            -0.0311542265,
            -0.0318837762,
            -0.0326133259,
            -0.0333428755,
            -0.0340724252,
            -0.0348019749,
            -0.0355315246,
            -0.0362610742,
            -0.0369906239,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0375363491,
            -0.0382658988,
            -0.0389954485,
            -0.0397249982,
            -0.0404545479,
            -0.0411840975,
            -0.0419136472,
            -0.0426431969,
            -0.0433727466,
            -0.0441022962,
            -0.0448318459,
            -0.0455613956,
            -0.0462909453,
            -0.0470204949,
            -0.0477500446,
            -0.0484795943,
            -0.0494619012,
            -0.0511641838,
            -0.0528664663,
            -0.0545687489,
            -0.0562710315,
            -0.0579733104,
            -0.0596755967,
            -0.0613778755,
            -0.0630801618,
            -0.0647824407,
            -0.066484727,
            -0.0681870058,
            -0.0698892921,
            -0.071591571,
            -0.0732938498,
            -0.0749961361,
            -0.0765682086,
            -0.077297762,
            -0.078027308,
            -0.0787568614,
            -0.0794864073,
            -0.0802159607,
            -0.0809455067,
            -0.0816750601,
            -0.082404606,
            -0.0831341594,
            -0.0838637054,
            -0.0845932588,
            -0.0853228047,
            -0.0860523582,
            -0.0867819041,
            -0.0875114501,
            -0.0882410035,
            -0.0889705569,
            -0.0897001028,
            -0.0904296488,
            -0.0911592022,
            -0.0918887481,
            -0.0926183015,
            -0.0933478475,
            -0.0940774009,
            -0.0948069468,
            -0.0955365002,
            -0.0962660462,
            -0.0969955996,
            -0.0977251455,
            -0.0984546989,
            -0.0991842449,
            -0.0999137983,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100735262,
            -0.102194354,
            -0.103653453,
            -0.105112553,
            -0.106571652,
            -0.108030751,
            -0.109489851,
            -0.11094895,
            -0.112408049,
            -0.113867149,
            -0.115326248,
            -0.116785347,
            -0.118244447,
            -0.119703546,
            -0.121162646,
            -0.122621745,
            -0.124448493,
            -0.126880333,
            -0.129312158,
            -0.131743997,
            -0.134175822,
            -0.136607662,
            -0.139039502,
            -0.141471326,
            -0.143903166,
            -0.146334991,
            -0.148766831,
            -0.15119867,
            -0.153630495,
            -0.156062335,
            -0.158494174,
            -0.160925999,
            -0.162928909,
            -0.163658455,
            -0.164388016,
            -0.165117562,
            -0.165847108,
            -0.166576654,
            -0.167306215,
            -0.168035761,
            -0.168765306,
            -0.169494852,
            -0.170224413,
            -0.170953959,
            -0.171683505,
            -0.172413051,
            -0.173142612,
            -0.173872158,
            -0.174601704,
            -0.17533125,
            -0.176060811,
            -0.176790357,
            -0.177519903,
            -0.178249449,
            -0.178979009,
            -0.179708555,
            -0.180438101,
            -0.181167647,
            -0.181897208,
            -0.182626754,
            -0.1833563,
            -0.184085846,
            -0.184815407,
            -0.185544953
          ],
          [
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.214271203,
            -0.215000749,
            -0.215730309,
            -0.216459855,
            -0.217189401,
            -0.217918947,
            -0.218648508,
            -0.219378054,
            -0.2201076,
            -0.220837146,
            -0.221566707,
            -0.222296253,
            -0.223025799,
            -0.223755345,
            -0.224484891,
            -0.225214452,
            -0.225943998,
            -0.226673543,
            -0.227403089,
            -0.22813265,
            -0.228862196,
            -0.229591742,
            -0.230321288,
            -0.231050849,
            -0.231780395,
            -0.232509941,
            -0.233239487,
            -0.233969048,
            -0.234698594,
            -0.23542814,
            -0.236157686,
            -0.236887246,
            -0.237616792,
            -0.238346338,
            -0.239075884,
            -0.239805445,
            -0.240534991,
            -0.241264537,
            -0.241994083,
            -0.242723644,
            -0.24345319,
            -0.244182736,
            -0.244912282,
            -0.245641842,
            -0.246371388,
            -0.247100934,
            -0.24783048,
            -0.248560041,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.24893342,
            -0.248203874,
            -0.247474328,
            -0.246744782,
            -0.246015221,
            -0.245285675,
            -0.244556129,
            -0.243826583,
            -0.243097022,
            -0.242367476,
            -0.24163793,
            -0.240908384,
            -0.240178823,
            -0.239449278,
            -0.238719732,
            -0.237990186,
            -0.23726064,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237886786,
            -0.238616332,
            -0.239345878,
            -0.240075424,
            -0.240804985,
            -0.241534531,
            -0.242264077,
            -0.242993623,
            -0.243723184,
            -0.24445273,
            -0.245182276,
            -0.245911822,
            -0.246641383,
            -0.247370929,
            -0.248100474,
            -0.24883002,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.24857153,
            -0.247841969,
            -0.247112423,
            -0.246382877,
            -0.245653331,
            -0.24492377,
            -0.244194224,
            -0.243464679,
            -0.242735133,
            -0.242005572,
            -0.241276026,
            -0.24054648,
            -0.239816934,
            -0.239087373,
            -0.238357827,
            -0.237628281,
            -0.236898735,
            -0.236169174,
            -0.235439628,
            -0.234710082,
            -0.233980536,
            -0.233250976,
            -0.23252143,
            -0.231791884,
            -0.231062338,
            -0.230332777,
            -0.229603231,
            -0.228873685,
            -0.228144139,
            -0.227414578,
            -0.226685032,
            -0.225955486,
            -0.22522594,
            -0.224496379,
            -0.223766834,
            -0.223037288,
            -0.222307742,
            -0.221578181,
            -0.220848635,
            -0.220119089,
            -0.219389543,
            -0.218659997,
            -0.217930436,
            -0.21720089,
            -0.216471344,
            -0.215741798,
            -0.215012237,
            -0.214282691,
            -0.21332337,
            -0.211621076,
            -0.209918797,
            -0.208216518,
            -0.206514239,
            -0.204811946,
            -0.203109667,
            -0.201407388,
            -0.199705109,
            -0.198002815,
            -0.196300536,
            -0.194598258,
            -0.192895979,
            -0.1911937,
            -0.189491406,
            -0.187789127,
            -0.186194077,
            -0.185464531,
            -0.18473497,
            -0.184005424,
            -0.183275878,
            -0.182546332,
            -0.181816772,
            -0.181087226,
            -0.18035768,
            -0.179628134,
            -0.178898573,
            -0.178169027,
            -0.177439481,
            -0.176709935,
            -0.175980389,
            -0.175250828,
            -0.174521282,
            -0.173791736,
            -0.17306219,
            -0.17233263,
            -0.171603084,
            -0.170873538,
            -0.170143992,
            -0.169414431,
            -0.168684885,
            -0.167955339,
            -0.167225793,
            -0.166496232,
            -0.165766686,
            -0.16503714,
            -0.164307594,
            -0.163578033,
            -0.162848487,
            -0.161492795,
            -0.160033688,
            -0.158574596,
            -0.157115489,
            -0.155656397,
            -0.154197291,
            -0.152738199,
            -0.151279092,
            -0.14982,
            -0.148360893,
            -0.146901801,
            -0.145442694,
            -0.143983603,
            -0.142524496,
            -0.141065404,
            -0.139606297,
            -0.137969121,
            -0.136266842,
            -0.134564549,
            -0.13286227,
            -0.131159976,
            -0.129457697,
            -0.127755404,
            -0.126053125,
            -0.124350831,
            -0.122648552,
            -0.120946258,
            -0.119243979,
            -0.117541686,
            -0.115839407,
            -0.114137113,
            -0.112434834,
            -0.110879987,
            -0.109420896,
            -0.107961796,
            -0.106502697,
            -0.105043598,
            -0.103584506,
            -0.102125406,
            -0.100666307,
            -0.0992072076,
            -0.0977481157,
            -0.0962890163,
            -0.094829917,
            -0.0933708251,
            -0.0919117257,
            -0.0904526263,
            -0.0889935344,
            -0.0874176249,
            -0.085715346,
            -0.0840130597,
            -0.0823107809,
            -0.0806084946,
            -0.0789062157,
            -0.0772039294,
            -0.0755016506,
            -0.0737993717,
            -0.0720970854,
            -0.0703947991,
            -0.0686925203,
            -0.0669902414,
            -0.0652879551,
            -0.0635856763,
            -0.0618833899,
            -0.0600087754,
            -0.0578201264,
            -0.0556314774,
            -0.0534428284,
            -0.0512541793,
            -0.0490655303,
            -0.0468768813,
            -0.0446882322,
            -0.0424995869,
            -0.0403109342,
            -0.0381222889,
            -0.0359336361,
            -0.0337449908,
            -0.0315563418,
            -0.0293676928,
            -0.0271790437,
            -0.0249348637,
            -0.0225030333,
            -0.020071201,
            -0.0176393688,
            -0.0152075365,
            -0.0127757043,
            -0.0103438729,
            -0.00791204162,
            -0.00548020937,
            -0.00304837711,
            -0.000616544858,
            0.0018152874,
            0.00424711965,
            0.00667895004,
            0.0091107823,
            0.0115426145,
            0.0139495544,
            0.0161382034,
            0.0183268525,
            0.0205155015,
            0.0227041505,
            0.0248927977,
            0.0270814467,
            0.0292700958,
            0.0314587429,
            0.0336473957,
            0.035836041,
            0.03802469,
            0.040213339,
            0.0424019881,
            0.0445906371,
            0.0467792861,
            0.0489679351,
            0.0506817065,
            0.0523839891,
            0.0540862717,
            0.0557885543,
            0.0574908331,
            0.0591931194,
            0.0608953983,
            0.0625976846,
            0.0642999634,
            0.0660022497,
            0.0677045286,
            0.0694068074,
            0.0711090937,
            0.07281138,
            0.0745136589,
            0.0762159377,
            0.0777114257,
            0.0791705251,
            0.080629617,
            0.0820887163,
            0.0835478157,
            0.085006915,
            0.0864660144,
            0.0879251137,
            0.0893842131,
            0.0908433124,
            0.0923024118,
            0.0937615111,
            0.0952206105,
            0.0966797099,
            0.0981388092,
            0.0995979086,
            0.101057008,
            0.102516107,
            0.103975207,
            0.105434306,
            0.106893405,
            0.108352505,
            0.109811604,
            0.111270703,
            0.112729803,
            0.114188902,
            0.115648001,
            0.117107101,
            0.1185662,
            0.120025299,
            0.121484399,
            0.122943498,
            0.124548122,
            0.126250401,
            0.127952695,
            0.129654974,
            0.131357253,
            0.133059531,
            0.13476181,
            0.136464104,
            0.138166383,
            0.139868662,
            0.141570941,
            0.143273234,
            0.144975513,
            0.146677792,
            0.148380071,
            0.150082365,
            0.151669756,
            0.153128847,
            0.154587954,
            0.156047046,
            0.157506153,
            0.158965245,
            0.160424352,
            0.161883444,
            0.16334255,
            0.164801642,
            0.166260749,
            0.167719841,
            0.169178933,
            0.17063804,
            0.172097147,
            0.173556238,
            0.174762577,
            0.175492138,
            0.176221684,
            0.17695123,
            0.177680776,
            0.178410321,
            0.179139882,
            0.179869428,
            0.180598974,
            0.18132852,
            0.182058081,
            0.182787627,
            0.183517173,
            0.184246719,
            0.18497628,
            0.185705826,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186366439,
            0.187339172,
            0.18831192,
            0.189284652,
            0.190257385,
            0.191230118,
            0.192202866,
            0.193175599,
            0.194148332,
            0.195121065,
            0.196093798,
            0.197066545,
            0.198039278,
            0.199012011,
            0.199984759,
            0.200957492,
            0.201930225,
            0.20266743,
            0.203396976,
            0.204126522,
            0.204856068,
            0.205585614,
            0.20631516,
            0.207044706,
            0.207774252,
            0.208503798,
            0.209233344,
            0.20996289,
            0.210692436,
            0.211421981,
            0.212151527,
            0.212881073,
            0.213610619,
            0.213110849,
            0.212381303,
            0.211651757,
            0.210922211,
            0.210192665,
            0.20946312,
            0.208733574,
            0.208004028,
            0.207274482,
            0.206544936,
            0.20581539,
            0.205085844,
            0.204356298,
            0.203626752,
            0.202897206,
            0.20216766,
            0.200741112,
            0.199038833,
            0.19733654,
            0.195634261,
            0.193931967,
            0.192229688,
            0.190527394,
            0.188825116,
            0.187122822,
            0.185420543,
            0.183718249,
            0.18201597,
            0.180313677,
            0.178611398,
            0.176909104,
            0.175206825,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.17401579,
            0.172556698,
            0.171097606,
            0.1696385,
            0.168179408,
            0.166720301,
            0.165261209,
            0.163802102,
            0.16234301,
            0.160883904,
            0.159424812,
            0.157965705,
            0.156506613,
            0.155047506,
            0.153588414,
            0.152129307,
            0.150618508,
            0.14891623,
            0.147213951,
            0.145511657,
            0.143809378,
            0.142107099,
            0.14040482,
            0.138702542,
            0.137000248,
            0.135297969,
            0.13359569,
            0.131893396,
            0.130191118,
            0.128488839,
            0.12678656,
            0.125084281,
            0.123403057,
            0.121943958,
            0.120484859,
            0.119025759,
            0.11756666,
            0.116107561,
            0.114648461,
            0.113189362,
            0.111730263,
            0.110271163,
            0.108812064,
            0.107352965,
            0.105893865,
            0.104434766,
            0.102975667,
            0.101516567,
            0.100057468,
            0.0992991999,
            0.0985696465,
            0.0978401005,
            0.0971105471,
            0.0963810012,
            0.0956514478,
            0.0949219018,
            0.0941923484,
            0.0934628025,
            0.0927332491,
            0.0920037031,
            0.0912741497,
            0.0905446038,
            0.0898150504,
            0.0890855044,
            0.088355951,
            0.0876264051,
            0.0868968517,
            0.0861673057,
            0.0854377523,
            0.0847082064,
            0.083978653,
            0.083249107,
            0.0825195536,
            0.0817900077,
            0.0810604542,
            0.0803309083,
            0.0796013549,
            0.0788718089,
            0.0781422555,
            0.0774127096,
            0.0766831562,
            0.0757812783,
            0.0748085454,
            0.0738358125,
            0.0728630796,
            0.0718903467,
            0.0709176138,
            0.0699448809,
            0.068972148,
            0.0679994151,
            0.0670266822,
            0.0660539493,
            0.0650812164,
            0.0641084835,
            0.0631357506,
            0.0621630177,
            0.0611902848,
            0.060359247,
            0.0596296974,
            0.0589001477,
            0.058170598,
            0.0574410483,
            0.0567114986,
            0.055981949,
            0.0552523993,
            0.0545228496,
            0.0537933037,
            0.0530637503,
            0.0523342043,
            0.0516046509,
            0.050875105,
            0.0501455516,
            0.0494160056,
            0.0486864559,
            0.0479569063,
            0.0472273566,
            0.0464978069,
            0.0457682572,
            0.0450387076,
            0.0443091579,
            0.0435796082,
            0.0428500585,
            0.0421205088,
            0.0413909592,
            0.0406614095,
            0.0399318598,
            0.0392023101,
            0.0384727605,
            0.0377432108,
            0.037496198,
            0.0382257476,
            0.0389552973,
            0.039684847,
            0.0404143967,
            0.0411439463,
            0.041873496,
            0.0426030457,
            0.0433325954,
            0.0440621451,
            0.0447916947,
            0.0455212444,
            0.0462507941,
            0.0469803438,
            0.0477098934,
            0.0484394431,
            0.0491689928,
            0.0498985425,
            0.0506280921,
            0.0513576418,
            0.0520871878,
            0.0528167412,
            0.0535462871,
            0.0542758405,
            0.0550053865,
            0.0557349361,
            0.0564644858,
            0.0571940355,
            0.0579235852,
            0.0586531349,
            0.0593826845,
            0.0601122342,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0614660196,
            0.0624387525,
            0.0634114817,
            0.0643842146,
            0.0653569475,
            0.0663296804,
            0.0673024133,
            0.0682751462,
            0.0692478791,
            0.070220612,
            0.0711933449,
            0.0721660778,
            0.0731388107,
            0.0741115436,
            0.0750842765,
            0.0760570094,
            0.0773093104,
            0.0787684098,
            0.0802275091,
            0.0816866085,
            0.0831457078,
            0.0846048072,
            0.0860639066,
            0.0875229985,
            0.0889821053,
            0.0904411972,
            0.091900304,
            0.0933593959,
            0.0948185027,
            0.0962775946,
            0.0977367014,
            0.0991957933,
            0.100654893,
            0.102113992,
            0.103573091,
            0.105032191,
            0.10649129,
            0.107950389,
            0.109409489,
            0.110868588,
            0.112327687,
            0.113786787,
            0.115245886,
            0.116704985,
            0.118164085,
            0.119623184,
            0.121082284,
            0.122541383,
            0.124078989,
            0.125781268,
            0.127483562,
            0.12918584,
            0.130888119,
            0.132590398,
            0.134292692,
            0.135994971,
            0.13769725,
            0.139399529,
            0.141101807,
            0.142804101,
            0.14450638,
            0.146208659,
            0.147910938,
            0.149613231,
            0.15112403,
            0.151853576,
            0.152583137,
            0.153312683,
            0.154042244,
            0.15477179,
            0.155501351,
            0.156230897,
            0.156960458,
            0.157690004,
            0.158419564,
            0.15914911,
            0.159878671,
            0.160608217,
            0.161337778,
            0.162067324,
            0.162796885,
            0.163526431,
            0.164255977,
            0.164985523,
            0.165715069,
            0.166444615,
            0.16717416,
            0.167903692,
            0.168633252,
            0.169362783,
            0.170092344,
            0.170821875,
            0.171551436,
            0.172280967,
            0.173010528,
            0.173740059,
            0.17446962,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174096227,
            0.173366681,
            0.172637135,
            0.171907589,
            0.171178043,
            0.170448497,
            0.169718951,
            0.168989405,
            0.168259859,
            0.167530313,
            0.166800767,
            0.166071221,
            0.165341675,
            0.164612129,
            0.163882583,
            0.163153037,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162153497,
            0.161423936,
            0.160694391,
            0.15996483,
            0.159235284,
            0.158505723,
            0.157776177,
            0.157046616,
            0.15631707,
            0.155587509,
            0.154857963,
            0.154128402,
            0.153398857,
            0.152669296,
            0.15193975,
            0.151210189,
            0.150480643,
            0.149751097,
            0.149021536,
            0.14829199,
            0.147562444,
            0.146832898,
            0.146103352,
            0.145373791,
            0.144644246,
            0.1439147,
            0.143185154,
            0.142455593,
            0.141726047,
            0.140996501,
            0.140266955,
            0.139537394,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139531657,
            0.140261203,
            0.140990749,
            0.14172031,
            0.142449856,
            0.143179402,
            0.143908948,
            0.144638509,
            0.145368055,
            0.1460976,
            0.146827146,
            0.147556692,
            0.148286253,
            0.149015799,
            0.149745345,
            0.150474906,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150848284,
            0.150118738,
            0.149389192,
            0.148659647,
            0.147930086,
            0.14720054,
            0.146470994,
            0.145741448,
            0.145011887,
            0.144282341,
            0.143552795,
            0.142823249,
            0.142093688,
            0.141364142,
            0.140634596,
            0.13990505,
            0.139162093,
            0.13818936,
            0.137216628,
            0.136243895,
            0.135271162,
            0.134298429,
            0.133325696,
            0.132352963,
            0.13138023,
            0.130407497,
            0.129434764,
            0.128462031,
            0.127489299,
            0.126516566,
            0.125543833,
            0.1245711,
            0.123598367,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123575389,
            0.124548122,
            0.125520855,
            0.126493588,
            0.127466321,
            0.128439054,
            0.129411787,
            0.13038452,
            0.131357253,
            0.132329985,
            0.133302718,
            0.134275451,
            0.135248184,
            0.136220917,
            0.13719365,
            0.138166383,
            0.139139116,
            0.13988781,
            0.140617356,
            0.141346917,
            0.142076463,
            0.142806008,
            0.143535554,
            0.144265115,
            0.144994661,
            0.145724207,
            0.146453753,
            0.147183314,
            0.14791286,
            0.148642406,
            0.149371952,
            0.150101513,
            0.150831059,
            0.151560605,
            0.152290165,
            0.153019711,
            0.153749272,
            0.154478818,
            0.155208379,
            0.155937925,
            0.156667486,
            0.157397032,
            0.158126593,
            0.158856139,
            0.159585699,
            0.160315245,
            0.161044806,
            0.161774352,
            0.162503913,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163411528,
            0.164141074,
            0.16487062,
            0.165600166,
            0.166329712,
            0.167059258,
            0.167788804,
            0.16851835,
            0.169247895,
            0.169977441,
            0.170706987,
            0.171436533,
            0.172166079,
            0.172895625,
            0.173625171,
            0.174354717,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174119204,
            0.173389658,
            0.172660112,
            0.171930566,
            0.17120102,
            0.170471475,
            0.169741929,
            0.169012383,
            0.168282837,
            0.167553291,
            0.166823745,
            0.166094199,
            0.165364653,
            0.164635107,
            0.163905561,
            0.163176015,
            0.162147745,
            0.160688654,
            0.159229547,
            0.15777044,
            0.156311333,
            0.154852241,
            0.153393134,
            0.151934028,
            0.150474921,
            0.149015829,
            0.147556722,
            0.146097615,
            0.144638509,
            0.143179417,
            0.14172031,
            0.140261203,
            0.138939977,
            0.137967244,
            0.136994511,
            0.136021778,
            0.135049045,
            0.134076312,
            0.133103579,
            0.132130846,
            0.131158113,
            0.130185381,
            0.129212648,
            0.128239915,
            0.127267182,
            0.126294449,
            0.125321716,
            0.124348983,
            0.123414546,
            0.122684993,
            0.121955447,
            0.121225893,
            0.120496348,
            0.119766794,
            0.119037248,
            0.118307695,
            0.117578149,
            0.116848595,
            0.116119049,
            0.115389496,
            0.11465995,
            0.113930397,
            0.113200851,
            0.112471297,
            0.111741751,
            0.111012198,
            0.110282652,
            0.109553099,
            0.108823553,
            0.108094007,
            0.107364453,
            0.106634907,
            0.105905354,
            0.105175808,
            0.104446255,
            0.103716709,
            0.102987155,
            0.102257609,
            0.101528056,
            0.10079851,
            0.100068957,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0996151417,
            0.0988855958,
            0.0981560424,
            0.0974264964,
            0.096696943,
            0.0959673971,
            0.0952378437,
            0.0945082977,
            0.0937787443,
            0.0930491984,
            0.092319645,
            0.091590099,
            0.0908605456,
            0.0901309997,
            0.0894014463,
            0.0886719003,
            0.0879423469,
            0.087212801,
            0.0864832476,
            0.0857537016,
            0.0850241482,
            0.0842946023,
            0.0835650563,
            0.0828355029,
            0.0821059495,
            0.0813764036,
            0.0806468576,
            0.0799173042,
            0.0791877508,
            0.0784582049,
            0.0777286589,
            0.0769991055,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764476359,
            0.075474903,
            0.0745021701,
            0.0735294372,
            0.0725567043,
            0.0715839714,
            0.0706112385,
            0.0696385056,
            0.0686657727,
            0.0676930398,
            0.0667203069,
            0.065747574,
            0.0647748411,
            0.0638021082,
            0.0628293753,
            0.0618566424,
            0.0608839095,
            0.0601294674,
            0.0593999177,
            0.058670368,
            0.0579408184,
            0.0572112687,
            0.056481719,
            0.0557521731,
            0.0550226197,
            0.0542930737,
            0.0535635203,
            0.0528339744,
            0.052104421,
            0.051374875,
            0.0506453253,
            0.0499157757,
            0.049186226,
            0.0478937142,
            0.0464346148,
            0.0449755192,
            0.0435164198,
            0.0420573205,
            0.0405982211,
            0.0391391218,
            0.0376800224,
            0.0362209231,
            0.0347618237,
            0.0333027244,
            0.031843625,
            0.0303845257,
            0.0289254263,
            0.027466327,
            0.0260072276,
            0.0250191763,
            0.0242896266,
            0.023560077,
            0.0228305273,
            0.0221009776,
            0.0213714279,
            0.0206418782,
            0.0199123286,
            0.0191827789,
            0.0184532292,
            0.0177236795,
            0.0169941299,
            0.0162645802,
            0.0155350324,
            0.0148054827,
            0.014075933,
            0.0133463833,
            0.0126168337,
            0.011887284,
            0.0111577343,
            0.0104281846,
            0.00969863497,
            0.00896908529,
            0.00823953561,
            0.0075099864,
            0.00678043673,
            0.00605088752,
            0.00532133784,
            0.00459178817,
            0.00386223849,
            0.00313268881,
            0.00240313914,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00170039735,
            0.000727664563,
            -0.000245068222,
            -0.00121780112,
            -0.00219053403,
            -0.00316326646,
            -0.00413599936,
            -0.00510873226,
            -0.0060814647,
            -0.0070541976,
            -0.0080269305,
            -0.00899966341,
            -0.00997239631,
            -0.0109451292,
            -0.0119178612,
            -0.0128905941,
            -0.0138288606,
            -0.0145584103,
            -0.0152879599,
            -0.0160175096,
            -0.0167470593,
            -0.017476609,
            -0.0182061568,
            -0.0189357065,
            -0.0196652561,
            -0.0203948058,
            -0.0211243555,
            -0.0218539052,
            -0.0225834548,
            -0.0233130045,
            -0.0240425542,
            -0.0247721039,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0249329489,
            -0.0242034011,
            -0.0234738514,
            -0.0227443017,
            -0.022014752,
            -0.0212852024,
            -0.0205556527,
            -0.019826103,
            -0.0190965533,
            -0.0183670036,
            -0.017637454,
            -0.0169079043,
            -0.0161783546,
            -0.0154488049,
            -0.0147192553,
            -0.0139897056,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.014098851,
            -0.0148284007,
            -0.0155579504,
            -0.0162875,
            -0.0170170497,
            -0.0177465994,
            -0.0184761491,
            -0.0192056987,
            -0.0199352484,
            -0.0206647962,
            -0.0213943459,
            -0.0221238956,
            -0.0228534453,
            -0.0235829949,
            -0.0243125446,
            -0.0250420943,
            -0.026053125,
            -0.0275122225,
            -0.0289713219,
            -0.0304304212,
            -0.0318895206,
            -0.0333486199,
            -0.0348077193,
            -0.0362668186,
            -0.037725918,
            -0.0391850173,
            -0.0406441167,
            -0.0421032161,
            -0.0435623154,
            -0.0450214148,
            -0.0464805141,
            -0.0479396135,
            -0.0494619012,
            -0.0511641838,
            -0.0528664663,
            -0.0545687489,
            -0.0562710315,
            -0.0579733104,
            -0.0596755967,
            -0.0613778755,
            -0.0630801618,
            -0.0647824407,
            -0.066484727,
            -0.0681870058,
            -0.0698892921,
            -0.071591571,
            -0.0732938498,
            -0.0749961361,
            -0.0765682086,
            -0.077297762,
            -0.078027308,
            -0.0787568614,
            -0.0794864073,
            -0.0802159607,
            -0.0809455067,
            -0.0816750601,
            -0.082404606,
            -0.0831341594,
            -0.0838637054,
            -0.0845932588,
            -0.0853228047,
            -0.0860523582,
            -0.0867819041,
            -0.0875114501,
            -0.0882410035,
            -0.0889705569,
            -0.0897001028,
            -0.0904296488,
            -0.0911592022,
            -0.0918887481,
            -0.0926183015,
            -0.0933478475,
            -0.0940774009,
            -0.0948069468,
            -0.0955365002,
            -0.0962660462,
            -0.0969955996,
            -0.0977251455,
            -0.0984546989,
            -0.0991842449,
            -0.0999137983,
            -0.100643344,
            -0.10137289,
            -0.102102444,
            -0.10283199,
            -0.103561535,
            -0.104291081,
            -0.105020635,
            -0.105750181,
            -0.106479727,
            -0.107209273,
            -0.107938826,
            -0.108668372,
            -0.109397918,
            -0.110127464,
            -0.11085701,
            -0.111586563,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.112622485,
            -0.114324771,
            -0.116027057,
            -0.117729343,
            -0.11943163,
            -0.121133916,
            -0.122836202,
            -0.124538489,
            -0.126240775,
            -0.127943054,
            -0.129645348,
            -0.131347626,
            -0.13304992,
            -0.134752199,
            -0.136454493,
            -0.138156772,
            -0.139767155,
            -0.141226247,
            -0.142685354,
            -0.144144446,
            -0.145603538,
            -0.147062644,
            -0.148521751,
            -0.149980843,
            -0.151439935,
            -0.152899042,
            -0.154358134,
            -0.15581724,
            -0.157276332,
            -0.158735439,
            -0.160194531,
            -0.161653638,
            -0.16311273,
            -0.164571837,
            -0.166030928,
            -0.167490035,
            -0.168949127,
            -0.170408234,
            -0.171867326,
            -0.173326433,
            -0.174785525,
            -0.176244631,
            -0.177703723,
            -0.17916283,
            -0.180621922,
            -0.182081029,
            -0.183540121,
            -0.184999228,
            -0.186366409,
            -0.187095955,
            -0.187825516,
            -0.188555062,
            -0.189284608,
            -0.190014154,
            -0.190743715,
            -0.191473261,
            -0.192202806,
            -0.192932352,
            -0.193661913,
            -0.194391459,
            -0.195121005,
            -0.195850551,
            -0.196580112,
            -0.197309658
          ],
          [
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.226127818,
            -0.226857364,
            -0.227586925,
            -0.228316471,
            -0.229046017,
            -0.229775563,
            -0.230505124,
            -0.23123467,
            -0.231964216,
            -0.232693762,
            -0.233423322,
            -0.234152868,
            -0.234882414,
            -0.23561196,
            -0.236341521,
            -0.237071067,
            -0.237800613,
            -0.238530159,
            -0.23925972,
            -0.239989266,
            -0.240718812,
            -0.241448358,
            -0.242177919,
            -0.242907465,
            -0.24363701,
            -0.244366556,
            -0.245096117,
            -0.245825663,
            -0.246555209,
            -0.247284755,
            -0.248014301,
            -0.248743862,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249105766,
            -0.249835312,
            -0.250564873,
            -0.251294404,
            -0.252023965,
            -0.252753526,
            -0.253483057,
            -0.254212618,
            -0.254942179,
            -0.25567171,
            -0.256401271,
            -0.257130831,
            -0.257860363,
            -0.258589923,
            -0.259319484,
            -0.260049045,
            -0.260778576,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.26162684,
            -0.262599587,
            -0.263572305,
            -0.264545053,
            -0.265517771,
            -0.266490519,
            -0.267463237,
            -0.268435955,
            -0.269408703,
            -0.270381421,
            -0.271354169,
            -0.272326887,
            -0.273299634,
            -0.274272352,
            -0.27524507,
            -0.276217818,
            -0.275750607,
            -0.274777859,
            -0.273805141,
            -0.272832394,
            -0.271859676,
            -0.270886958,
            -0.26991421,
            -0.268941492,
            -0.267968744,
            -0.266996026,
            -0.266023278,
            -0.26505056,
            -0.264077812,
            -0.263105094,
            -0.262132376,
            -0.261159629,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.26042816,
            -0.259698629,
            -0.258969069,
            -0.258239508,
            -0.257509977,
            -0.256780416,
            -0.256050855,
            -0.255321324,
            -0.254591763,
            -0.253862202,
            -0.253132641,
            -0.25240311,
            -0.251673549,
            -0.250943989,
            -0.250214458,
            -0.249484897,
            -0.248491094,
            -0.247032002,
            -0.245572895,
            -0.244113803,
            -0.242654711,
            -0.241195604,
            -0.239736497,
            -0.238277406,
            -0.236818314,
            -0.235359207,
            -0.233900115,
            -0.232441008,
            -0.230981916,
            -0.229522809,
            -0.228063717,
            -0.226604611,
            -0.225088075,
            -0.223385781,
            -0.221683502,
            -0.219981223,
            -0.218278944,
            -0.216576651,
            -0.214874372,
            -0.213172093,
            -0.211469814,
            -0.20976752,
            -0.208065242,
            -0.206362963,
            -0.204660684,
            -0.202958405,
            -0.201256111,
            -0.199553832,
            -0.197958782,
            -0.197229236,
            -0.196499676,
            -0.19577013,
            -0.195040584,
            -0.194311038,
            -0.193581477,
            -0.192851931,
            -0.192122385,
            -0.191392839,
            -0.190663278,
            -0.189933732,
            -0.189204186,
            -0.18847464,
            -0.187745094,
            -0.187015533,
            -0.186285987,
            -0.185556442,
            -0.184826896,
            -0.184097335,
            -0.183367789,
            -0.182638243,
            -0.181908697,
            -0.181179136,
            -0.18044959,
            -0.179720044,
            -0.178990498,
            -0.178260937,
            -0.177531391,
            -0.176801845,
            -0.176072299,
            -0.175342739,
            -0.174613193,
            -0.1732575,
            -0.171798393,
            -0.170339301,
            -0.168880194,
            -0.167421103,
            -0.165961996,
            -0.164502904,
            -0.163043797,
            -0.161584705,
            -0.160125598,
            -0.158666506,
            -0.1572074,
            -0.155748308,
            -0.154289201,
            -0.152830109,
            -0.151371002,
            -0.149733827,
            -0.148031548,
            -0.146329254,
            -0.144626975,
            -0.142924696,
            -0.141222402,
            -0.139520124,
            -0.137817845,
            -0.136115551,
            -0.134413272,
            -0.132710993,
            -0.1310087,
            -0.129306421,
            -0.127604127,
            -0.125901848,
            -0.124199569,
            -0.123087049,
            -0.122357495,
            -0.121627942,
            -0.120898396,
            -0.120168842,
            -0.119439289,
            -0.118709743,
            -0.11798019,
            -0.117250636,
            -0.116521083,
            -0.115791537,
            -0.115061983,
            -0.11433243,
            -0.113602877,
            -0.112873331,
            -0.112143777,
            -0.111063816,
            -0.109604716,
            -0.108145617,
            -0.106686518,
            -0.105227426,
            -0.103768326,
            -0.102309227,
            -0.100850135,
            -0.0993910357,
            -0.0979319364,
            -0.096472837,
            -0.0950137451,
            -0.0935546458,
            -0.0920955464,
            -0.0906364471,
            -0.0891773552,
            -0.0873735845,
            -0.0849417523,
            -0.08250992,
            -0.0800780877,
            -0.0776462555,
            -0.0752144307,
            -0.072782591,
            -0.0703507662,
            -0.0679189265,
            -0.0654871017,
            -0.0630552694,
            -0.0606234372,
            -0.0581916049,
            -0.0557597727,
            -0.0533279404,
            -0.0508961082,
            -0.0482976846,
            -0.0451363027,
            -0.0419749208,
            -0.0388135388,
            -0.0356521606,
            -0.032490775,
            -0.0293293949,
            -0.0261680149,
            -0.0230066329,
            -0.019845251,
            -0.0166838691,
            -0.0135224871,
            -0.0103611052,
            -0.00719972327,
            -0.00403834134,
            -0.000876963139,
            0.002184849,
            0.0043734978,
            0.00656214636,
            0.00875079539,
            0.0109394444,
            0.0131280925,
            0.0153167415,
            0.0175053906,
            0.0196940396,
            0.0218826886,
            0.0240713358,
            0.0262599848,
            0.0284486338,
            0.0306372829,
            0.0328259319,
            0.0350145809,
            0.03720323,
            0.0386795625,
            0.0401386619,
            0.0415977612,
            0.0430568606,
            0.0445159599,
            0.0459750593,
            0.0474341586,
            0.048893258,
            0.0503523573,
            0.0518114567,
            0.053270556,
            0.0547296554,
            0.056188751,
            0.0576478504,
            0.0591069497,
            0.0605660491,
            0.0622319505,
            0.0639342293,
            0.0656365156,
            0.0673387945,
            0.0690410808,
            0.0707433596,
            0.0724456459,
            0.0741479248,
            0.0758502111,
            0.0775524899,
            0.0792547762,
            0.0809570551,
            0.0826593339,
            0.0843616202,
            0.0860639066,
            0.0877661854,
            0.0892923027,
            0.0907514021,
            0.0922105014,
            0.0936696008,
            0.0951287001,
            0.0965877995,
            0.0980468988,
            0.0995059982,
            0.100965098,
            0.102424197,
            0.103883296,
            0.105342396,
            0.106801495,
            0.108260594,
            0.109719694,
            0.111178793,
            0.112783417,
            0.114485703,
            0.116187982,
            0.117890269,
            0.119592547,
            0.121294826,
            0.122997113,
            0.124699391,
            0.126401678,
            0.128103957,
            0.129806235,
            0.131508529,
            0.133210808,
            0.134913087,
            0.136615366,
            0.138317659,
            0.139560372,
            0.140289932,
            0.141019478,
            0.141749024,
            0.14247857,
            0.143208131,
            0.143937677,
            0.144667223,
            0.145396769,
            0.14612633,
            0.146855876,
            0.147585422,
            0.148314968,
            0.149044514,
            0.149774075,
            0.150503621,
            0.151485935,
            0.152945027,
            0.154404134,
            0.155863225,
            0.157322317,
            0.158781424,
            0.160240516,
            0.161699623,
            0.163158715,
            0.164617822,
            0.166076913,
            0.16753602,
            0.168995112,
            0.170454219,
            0.171913311,
            0.173372418,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174578756,
            0.175308302,
            0.176037863,
            0.176767409,
            0.177496955,
            0.178226501,
            0.178956062,
            0.179685608,
            0.180415154,
            0.181144699,
            0.181874245,
            0.182603806,
            0.183333352,
            0.184062898,
            0.184792459,
            0.185522005,
            0.186251551,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185751781,
            0.185022235,
            0.184292674,
            0.183563128,
            0.182833582,
            0.182104036,
            0.18137449,
            0.180644929,
            0.179915383,
            0.179185838,
            0.178456277,
            0.177726731,
            0.176997185,
            0.176267639,
            0.175538093,
            0.174808532,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174170896,
            0.17344135,
            0.172711805,
            0.171982259,
            0.171252713,
            0.170523167,
            0.169793621,
            0.169064075,
            0.168334529,
            0.167604983,
            0.166875437,
            0.166145891,
            0.165416345,
            0.164686799,
            0.163957253,
            0.163227707,
            0.162251145,
            0.160792053,
            0.159332946,
            0.157873839,
            0.156414732,
            0.15495564,
            0.153496534,
            0.152037427,
            0.15057832,
            0.149119228,
            0.147660121,
            0.146201015,
            0.144741923,
            0.143282816,
            0.141823709,
            0.140364602,
            0.138853803,
            0.137151524,
            0.135449246,
            0.133746952,
            0.132044673,
            0.130342394,
            0.128640115,
            0.126937836,
            0.125235543,
            0.123533264,
            0.121830985,
            0.120128699,
            0.118426412,
            0.116724133,
            0.115021855,
            0.113319568,
            0.111638352,
            0.110179253,
            0.108720154,
            0.107261054,
            0.105801955,
            0.104342856,
            0.102883756,
            0.101424657,
            0.0999655575,
            0.0985064581,
            0.0970473588,
            0.0955882594,
            0.09412916,
            0.0926700607,
            0.0912109613,
            0.089751862,
            0.0882927626,
            0.0875344947,
            0.0868049413,
            0.0860753953,
            0.0853458419,
            0.084616296,
            0.0838867426,
            0.0831571966,
            0.0824276432,
            0.0816980973,
            0.0809685439,
            0.0802389979,
            0.0795094445,
            0.0787798986,
            0.0780503452,
            0.0773207992,
            0.0765912458,
            0.0756587237,
            0.0746859908,
            0.0737132579,
            0.072740525,
            0.0717677921,
            0.0707950592,
            0.0698223263,
            0.0688495934,
            0.0678768605,
            0.0669041276,
            0.0659313947,
            0.0649586618,
            0.0639859289,
            0.063013196,
            0.0620404668,
            0.0610677339,
            0.0602673367,
            0.059537787,
            0.0588082373,
            0.0580786876,
            0.057349138,
            0.0566195883,
            0.0558900386,
            0.0551604889,
            0.0544309393,
            0.0537013896,
            0.0529718399,
            0.0522422902,
            0.0515127406,
            0.0507831909,
            0.0500536412,
            0.0493240915,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0486864559,
            0.0479569063,
            0.0472273566,
            0.0464978069,
            0.0457682572,
            0.0450387076,
            0.0443091579,
            0.0435796082,
            0.0428500585,
            0.0421205088,
            0.0413909592,
            0.0406614095,
            0.0399318598,
            0.0392023101,
            0.0384727605,
            0.0377432108,
            0.037496198,
            0.0382257476,
            0.0389552973,
            0.039684847,
            0.0404143967,
            0.0411439463,
            0.041873496,
            0.0426030457,
            0.0433325954,
            0.0440621451,
            0.0447916947,
            0.0455212444,
            0.0462507941,
            0.0469803438,
            0.0477098934,
            0.0484394431,
            0.0491689928,
            0.0498985425,
            0.0506280921,
            0.0513576418,
            0.0520871878,
            0.0528167412,
            0.0535462871,
            0.0542758405,
            0.0550053865,
            0.0557349361,
            0.0564644858,
            0.0571940355,
            0.0579235852,
            0.0586531349,
            0.0593826845,
            0.0601122342,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0617111176,
            0.0626838505,
            0.0636565834,
            0.0646293163,
            0.0656020492,
            0.0665747821,
            0.067547515,
            0.0685202479,
            0.0694929808,
            0.0704657137,
            0.0714384466,
            0.0724111795,
            0.0733839124,
            0.0743566453,
            0.0753293782,
            0.0763021111,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0769818723,
            0.0777114257,
            0.0784409717,
            0.0791705251,
            0.079900071,
            0.080629617,
            0.0813591704,
            0.0820887163,
            0.0828182697,
            0.0835478157,
            0.0842773691,
            0.085006915,
            0.0857364684,
            0.0864660144,
            0.0871955678,
            0.0879251137,
            0.0894933641,
            0.0916820094,
            0.0938706547,
            0.0960593075,
            0.0982479528,
            0.100436606,
            0.102625251,
            0.104813904,
            0.107002549,
            0.109191202,
            0.111379847,
            0.1135685,
            0.115757145,
            0.11794579,
            0.120134443,
            0.122323096,
            0.124293454,
            0.12599574,
            0.127698019,
            0.129400298,
            0.131102577,
            0.132804856,
            0.134507149,
            0.136209428,
            0.137911707,
            0.139613986,
            0.14131628,
            0.143018559,
            0.144720837,
            0.146423116,
            0.14812541,
            0.149827689,
            0.151451454,
            0.15291056,
            0.154369652,
            0.155828759,
            0.157287851,
            0.158746958,
            0.16020605,
            0.161665156,
            0.163124248,
            0.164583355,
            0.166042447,
            0.167501554,
            0.168960646,
            0.170419753,
            0.171878844,
            0.173337951,
            0.174653441,
            0.175382987,
            0.176112533,
            0.176842079,
            0.177571639,
            0.178301185,
            0.179030731,
            0.179760277,
            0.180489838,
            0.181219384,
            0.18194893,
            0.182678476,
            0.183408037,
            0.184137583,
            0.184867129,
            0.185596675,
            0.186343461,
            0.187316194,
            0.188288942,
            0.189261675,
            0.190234408,
            0.191207141,
            0.192179888,
            0.193152621,
            0.194125354,
            0.195098087,
            0.19607082,
            0.197043568,
            0.198016301,
            0.198989034,
            0.199961767,
            0.200934514,
            0.201907247,
            0.201041743,
            0.20006901,
            0.199096262,
            0.19812353,
            0.197150797,
            0.196178064,
            0.195205316,
            0.194232583,
            0.19325985,
            0.192287117,
            0.191314369,
            0.190341637,
            0.189368904,
            0.188396171,
            0.187423423,
            0.18645069,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185860932,
            0.185131371,
            0.184401825,
            0.183672279,
            0.182942733,
            0.182213172,
            0.181483626,
            0.18075408,
            0.180024534,
            0.179294974,
            0.178565428,
            0.177835882,
            0.177106336,
            0.176376775,
            0.175647229,
            0.174917683,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.173826233,
            0.173096687,
            0.172367141,
            0.171637595,
            0.170908049,
            0.170178503,
            0.169448957,
            0.168719411,
            0.167989865,
            0.167260319,
            0.166530773,
            0.165801227,
            0.165071681,
            0.164342135,
            0.163612589,
            0.162883043,
            0.162153497,
            0.161423936,
            0.160694391,
            0.15996483,
            0.159235284,
            0.158505723,
            0.157776177,
            0.157046616,
            0.15631707,
            0.155587509,
            0.154857963,
            0.154128402,
            0.153398857,
            0.152669296,
            0.15193975,
            0.151210189,
            0.150480643,
            0.149751097,
            0.149021536,
            0.14829199,
            0.147562444,
            0.146832898,
            0.146103352,
            0.145373791,
            0.144644246,
            0.1439147,
            0.143185154,
            0.142455593,
            0.141726047,
            0.140996501,
            0.140266955,
            0.139537394,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139531657,
            0.140261203,
            0.140990749,
            0.14172031,
            0.142449856,
            0.143179402,
            0.143908948,
            0.144638509,
            0.145368055,
            0.1460976,
            0.146827146,
            0.147556692,
            0.148286253,
            0.149015799,
            0.149745345,
            0.150474906,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150848284,
            0.150118738,
            0.149389192,
            0.148659647,
            0.147930086,
            0.14720054,
            0.146470994,
            0.145741448,
            0.145011887,
            0.144282341,
            0.143552795,
            0.142823249,
            0.142093688,
            0.141364142,
            0.140634596,
            0.13990505,
            0.139162093,
            0.13818936,
            0.137216628,
            0.136243895,
            0.135271162,
            0.134298429,
            0.133325696,
            0.132352963,
            0.13138023,
            0.130407497,
            0.129434764,
            0.128462031,
            0.127489299,
            0.126516566,
            0.125543833,
            0.1245711,
            0.123598367,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.124188133,
            0.125160873,
            0.126133606,
            0.127106339,
            0.128079072,
            0.129051805,
            0.130024537,
            0.13099727,
            0.131970003,
            0.132942736,
            0.133915469,
            0.134888202,
            0.135860935,
            0.136833668,
            0.137806401,
            0.138779134,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139250174,
            0.13997972,
            0.140709281,
            0.141438827,
            0.142168373,
            0.142897919,
            0.143627465,
            0.144357026,
            0.145086572,
            0.145816118,
            0.146545663,
            0.147275224,
            0.14800477,
            0.148734316,
            0.149463862,
            0.150193423,
            0.150922969,
            0.151652515,
            0.152382076,
            0.153111622,
            0.153841183,
            0.154570729,
            0.155300289,
            0.156029835,
            0.156759396,
            0.157488942,
            0.158218503,
            0.158948049,
            0.15967761,
            0.160407156,
            0.161136717,
            0.161866263,
            0.162595823,
            0.163325369,
            0.164054915,
            0.164784461,
            0.165514007,
            0.166243553,
            0.166973099,
            0.167702645,
            0.168432191,
            0.169161737,
            0.169891283,
            0.170620829,
            0.171350375,
            0.172079921,
            0.172809467,
            0.173539013,
            0.174268559,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174297273,
            0.173567727,
            0.172838181,
            0.172108635,
            0.171379089,
            0.170649543,
            0.169919997,
            0.169190452,
            0.168460906,
            0.16773136,
            0.167001814,
            0.166272268,
            0.165542722,
            0.164813176,
            0.16408363,
            0.163354084,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163411528,
            0.164141074,
            0.16487062,
            0.165600166,
            0.166329712,
            0.167059258,
            0.167788804,
            0.16851835,
            0.169247895,
            0.169977441,
            0.170706987,
            0.171436533,
            0.172166079,
            0.172895625,
            0.173625171,
            0.174354717,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174992353,
            0.175721914,
            0.17645146,
            0.177181005,
            0.177910551,
            0.178640112,
            0.179369658,
            0.180099204,
            0.18082875,
            0.181558311,
            0.182287857,
            0.183017403,
            0.183746949,
            0.18447651,
            0.185206056,
            0.185935602,
            0.185883909,
            0.185154349,
            0.184424803,
            0.183695257,
            0.182965711,
            0.18223615,
            0.181506604,
            0.180777058,
            0.180047512,
            0.179317951,
            0.178588405,
            0.177858859,
            0.177129313,
            0.176399752,
            0.175670207,
            0.174940661,
            0.174211115,
            0.173481569,
            0.172752023,
            0.172022477,
            0.171292931,
            0.170563385,
            0.169833839,
            0.169104293,
            0.168374747,
            0.167645201,
            0.166915655,
            0.166186109,
            0.165456563,
            0.164727017,
            0.163997471,
            0.163267925,
            0.162538379,
            0.161808819,
            0.161079273,
            0.160349712,
            0.159620166,
            0.158890605,
            0.158161059,
            0.157431498,
            0.156701952,
            0.155972391,
            0.155242845,
            0.154513285,
            0.153783739,
            0.153054178,
            0.152324632,
            0.151595071,
            0.150865525,
            0.150135979,
            0.149406418,
            0.148676872,
            0.147947326,
            0.14721778,
            0.146488219,
            0.145758674,
            0.145029128,
            0.144299582,
            0.143570021,
            0.142840475,
            0.142110929,
            0.141381383,
            0.140651822,
            0.139922276,
            0.139185071,
            0.138212338,
            0.137239605,
            0.136266872,
            0.135294139,
            0.134321406,
            0.133348674,
            0.132375941,
            0.131403208,
            0.130430475,
            0.129457742,
            0.128485009,
            0.127512276,
            0.126539543,
            0.12556681,
            0.124594077,
            0.123621345,
            0.122868821,
            0.122139268,
            0.121409722,
            0.120680168,
            0.119950622,
            0.119221069,
            0.118491523,
            0.11776197,
            0.117032424,
            0.11630287,
            0.115573324,
            0.114843771,
            0.114114225,
            0.113384672,
            0.112655126,
            0.111925572,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.110994965,
            0.109535865,
            0.108076766,
            0.106617674,
            0.105158567,
            0.103699476,
            0.102240376,
            0.100781277,
            0.0993221775,
            0.0978630781,
            0.0964039788,
            0.0949448794,
            0.0934857801,
            0.0920266807,
            0.0905675814,
            0.089108482,
            0.0879423469,
            0.087212801,
            0.0864832476,
            0.0857537016,
            0.0850241482,
            0.0842946023,
            0.0835650563,
            0.0828355029,
            0.0821059495,
            0.0813764036,
            0.0806468576,
            0.0799173042,
            0.0791877508,
            0.0784582049,
            0.0777286589,
            0.0769991055,
            0.0762025341,
            0.0752298012,
            0.0742570758,
            0.0732843429,
            0.07231161,
            0.0713388771,
            0.0703661442,
            0.0693934113,
            0.0684206784,
            0.0674479455,
            0.0664752126,
            0.0655024797,
            0.0645297468,
            0.0635570139,
            0.062584281,
            0.0616115481,
            0.0609298684,
            0.0619026013,
            0.0628753304,
            0.0638480633,
            0.0648207963,
            0.0657935292,
            0.0667662621,
            0.067738995,
            0.0687117279,
            0.0696844608,
            0.0706571937,
            0.0716299266,
            0.0726026595,
            0.0735753924,
            0.0745481253,
            0.0755208582,
            0.0764476359,
            0.075474903,
            0.0745021701,
            0.0735294372,
            0.0725567043,
            0.0715839714,
            0.0706112385,
            0.0696385056,
            0.0686657727,
            0.0676930398,
            0.0667203069,
            0.065747574,
            0.0647748411,
            0.0638021082,
            0.0628293753,
            0.0618566424,
            0.0608839095,
            0.0601294674,
            0.0593999177,
            0.058670368,
            0.0579408184,
            0.0572112687,
            0.056481719,
            0.0557521731,
            0.0550226197,
            0.0542930737,
            0.0535635203,
            0.0528339744,
            0.052104421,
            0.051374875,
            0.0506453253,
            0.0499157757,
            0.049186226,
            0.0478937142,
            0.0464346148,
            0.0449755192,
            0.0435164198,
            0.0420573205,
            0.0405982211,
            0.0391391218,
            0.0376800224,
            0.0362209231,
            0.0347618237,
            0.0333027244,
            0.031843625,
            0.0303845257,
            0.0289254263,
            0.027466327,
            0.0260072276,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0251110885,
            0.0243815389,
            0.0236519892,
            0.0229224395,
            0.0221928898,
            0.0214633401,
            0.0207337905,
            0.0200042408,
            0.0192746911,
            0.0185451414,
            0.0178155936,
            0.017086044,
            0.0163564943,
            0.0156269446,
            0.014897394,
            0.0141678443,
            0.0134382946,
            0.012708745,
            0.0119791962,
            0.0112496465,
            0.0105200969,
            0.00979054719,
            0.00906099752,
            0.00833144784,
            0.00760189816,
            0.00687234849,
            0.00614279881,
            0.00541324914,
            0.00468369946,
            0.00395415071,
            0.00322460104,
            0.00249505136,
            0.00170039735,
            0.000727664563,
            -0.000245068222,
            -0.00121780112,
            -0.00219053403,
            -0.00316326646,
            -0.00413599936,
            -0.00510873226,
            -0.0060814647,
            -0.0070541976,
            -0.0080269305,
            -0.00899966341,
            -0.00997239631,
            -0.0109451292,
            -0.0119178612,
            -0.0128905941,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0129825063,
            -0.0120097734,
            -0.0110370405,
            -0.0100643076,
            -0.0090915747,
            -0.0081188418,
            -0.00714610936,
            -0.00617337693,
            -0.00520064402,
            -0.00422791112,
            -0.00325517822,
            -0.00228244532,
            -0.00130971242,
            -0.000336980447,
            0.000635752454,
            0.00160848536,
            0.00134040962,
            0.000367676839,
            -0.000605056062,
            -0.00157778873,
            -0.0025505214,
            -0.0035232543,
            -0.0044959872,
            -0.00546871964,
            -0.00644145254,
            -0.00741418544,
            -0.00838691834,
            -0.00935965125,
            -0.0103323841,
            -0.0113051161,
            -0.012277849,
            -0.0132505819,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0142884189,
            -0.0157475173,
            -0.0172066167,
            -0.0186657161,
            -0.0201248154,
            -0.0215839148,
            -0.0230430141,
            -0.0245021135,
            -0.0259612128,
            -0.0274203122,
            -0.0288794115,
            -0.0303385109,
            -0.0317976102,
            -0.0332567096,
            -0.0347158089,
            -0.0361749083,
            -0.0376340076,
            -0.039093107,
            -0.0405522026,
            -0.042011302,
            -0.0434704013,
            -0.0449295007,
            -0.0463886,
            -0.0478476994,
            -0.0493067987,
            -0.0507658981,
            -0.0522249974,
            -0.0536840968,
            -0.0551431961,
            -0.0566022955,
            -0.0580613948,
            -0.0595204942,
            -0.0610121451,
            -0.0627144277,
            -0.0644167066,
            -0.0661189929,
            -0.0678212717,
            -0.069523558,
            -0.0712258369,
            -0.0729281232,
            -0.074630402,
            -0.0763326883,
            -0.0780349672,
            -0.0797372535,
            -0.0814395323,
            -0.0831418186,
            -0.0848440975,
            -0.0865463763,
            -0.0882410035,
            -0.0889705569,
            -0.0897001028,
            -0.0904296488,
            -0.0911592022,
            -0.0918887481,
            -0.0926183015,
            -0.0933478475,
            -0.0940774009,
            -0.0948069468,
            -0.0955365002,
            -0.0962660462,
            -0.0969955996,
            -0.0977251455,
            -0.0984546989,
            -0.0991842449,
            -0.0999137983,
            -0.100643344,
            -0.10137289,
            -0.102102444,
            -0.10283199,
            -0.103561535,
            -0.104291081,
            -0.105020635,
            -0.105750181,
            -0.106479727,
            -0.107209273,
            -0.107938826,
            -0.108668372,
            -0.109397918,
            -0.110127464,
            -0.11085701,
            -0.111586563,
            -0.112316109,
            -0.113045663,
            -0.113775216,
            -0.114504769,
            -0.115234315,
            -0.115963869,
            -0.116693422,
            -0.117422968,
            -0.118152522,
            -0.118882075,
            -0.119611628,
            -0.120341174,
            -0.121070728,
            -0.121800281,
            -0.122529835,
            -0.12325938,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.12438722,
            -0.126089498,
            -0.127791792,
            -0.129494071,
            -0.13119635,
            -0.132898644,
            -0.134600922,
            -0.136303201,
            -0.138005495,
            -0.139707774,
            -0.141410053,
            -0.143112347,
            -0.144814625,
            -0.146516919,
            -0.148219198,
            -0.149921477,
            -0.151256114,
            -0.151985675,
            -0.152715221,
            -0.153444767,
            -0.154174313,
            -0.154903859,
            -0.15563342,
            -0.156362966,
            -0.157092512,
            -0.157822058,
            -0.158551618,
            -0.159281164,
            -0.16001071,
            -0.160740256,
            -0.161469817,
            -0.162199363,
            -0.16311273,
            -0.164571837,
            -0.166030928,
            -0.167490035,
            -0.168949127,
            -0.170408234,
            -0.171867326,
            -0.173326433,
            -0.174785525,
            -0.176244631,
            -0.177703723,
            -0.17916283,
            -0.180621922,
            -0.182081029,
            -0.183540121,
            -0.184999228,
            -0.186366409,
            -0.187095955,
            -0.187825516,
            -0.188555062,
            -0.189284608,
            -0.190014154,
            -0.190743715,
            -0.191473261,
            -0.192202806,
            -0.192932352,
            -0.193661913,
            -0.194391459,
            -0.195121005,
            -0.195850551,
            -0.196580112,
            -0.197309658
          ],
          [
            -0.225490183,
            -0.226219729,
            -0.226949275,
            -0.227678835,
            -0.228408381,
            -0.229137927,
            -0.229867473,
            -0.230597034,
            -0.23132658,
            -0.232056126,
            -0.232785672,
            -0.233515233,
            -0.234244779,
            -0.234974325,
            -0.235703871,
            -0.236433432,
            -0.237162977,
            -0.237892523,
            -0.238622069,
            -0.23935163,
            -0.240081176,
            -0.240810722,
            -0.241540268,
            -0.242269829,
            -0.242999375,
            -0.243728921,
            -0.244458467,
            -0.245188028,
            -0.245917574,
            -0.24664712,
            -0.247376665,
            -0.248106226,
            -0.248835772,
            -0.249565318,
            -0.250294864,
            -0.251024425,
            -0.251753986,
            -0.252483517,
            -0.253213078,
            -0.253942639,
            -0.25467217,
            -0.255401731,
            -0.256131291,
            -0.256860822,
            -0.257590383,
            -0.258319944,
            -0.259049475,
            -0.259779036,
            -0.260508597,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260422438,
            -0.259692878,
            -0.258963317,
            -0.258233756,
            -0.257504225,
            -0.256774664,
            -0.256045103,
            -0.255315572,
            -0.254586011,
            -0.25385645,
            -0.253126919,
            -0.252397358,
            -0.251667798,
            -0.250938267,
            -0.250208706,
            -0.24947916,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249220654,
            -0.250922918,
            -0.252625227,
            -0.254327506,
            -0.256029785,
            -0.257732064,
            -0.259434342,
            -0.261136621,
            -0.2628389,
            -0.264541179,
            -0.266243488,
            -0.267945766,
            -0.269648045,
            -0.271350324,
            -0.273052603,
            -0.274754882,
            -0.276457161,
            -0.277194381,
            -0.277923912,
            -0.278653473,
            -0.279383034,
            -0.280112565,
            -0.280842125,
            -0.281571686,
            -0.282301217,
            -0.283030778,
            -0.283760309,
            -0.28448987,
            -0.285219431,
            -0.285948962,
            -0.286678523,
            -0.287408084,
            -0.288137615,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.287695289,
            -0.286965758,
            -0.286236197,
            -0.285506636,
            -0.284777105,
            -0.284047544,
            -0.283317983,
            -0.282588452,
            -0.281858891,
            -0.28112936,
            -0.280399799,
            -0.279670238,
            -0.278940707,
            -0.278211147,
            -0.277481616,
            -0.276752055,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.275995702,
            -0.275022954,
            -0.274050236,
            -0.273077488,
            -0.27210477,
            -0.271132052,
            -0.270159304,
            -0.269186586,
            -0.268213838,
            -0.26724112,
            -0.266268373,
            -0.265295655,
            -0.264322937,
            -0.263350189,
            -0.262377471,
            -0.261404723,
            -0.260255843,
            -0.258796722,
            -0.25733763,
            -0.255878538,
            -0.254419416,
            -0.252960324,
            -0.251501232,
            -0.25004214,
            -0.248583019,
            -0.247123927,
            -0.24566482,
            -0.244205728,
            -0.242746621,
            -0.241287529,
            -0.239828423,
            -0.238369316,
            -0.236910224,
            -0.235451117,
            -0.233992025,
            -0.232532918,
            -0.231073827,
            -0.22961472,
            -0.228155628,
            -0.226696521,
            -0.225237429,
            -0.223778322,
            -0.22231923,
            -0.220860124,
            -0.219401032,
            -0.217941925,
            -0.216482833,
            -0.215023726,
            -0.213618249,
            -0.212645516,
            -0.211672783,
            -0.21070005,
            -0.209727317,
            -0.208754584,
            -0.207781851,
            -0.206809118,
            -0.205836385,
            -0.204863653,
            -0.20389092,
            -0.202918187,
            -0.201945454,
            -0.200972721,
            -0.199999988,
            -0.199027255,
            -0.198054522,
            -0.197321147,
            -0.196591601,
            -0.19586204,
            -0.195132494,
            -0.194402948,
            -0.193673402,
            -0.192943841,
            -0.192214295,
            -0.191484749,
            -0.190755203,
            -0.190025643,
            -0.189296097,
            -0.188566551,
            -0.187837005,
            -0.187107444,
            -0.186377898,
            -0.185648352,
            -0.184918806,
            -0.184189245,
            -0.183459699,
            -0.182730153,
            -0.182000607,
            -0.181271046,
            -0.1805415,
            -0.179811954,
            -0.179082409,
            -0.178352848,
            -0.177623302,
            -0.176893756,
            -0.17616421,
            -0.175434649,
            -0.174705103,
            -0.173441321,
            -0.171982214,
            -0.170523122,
            -0.169064015,
            -0.167604923,
            -0.166145831,
            -0.164686725,
            -0.163227618,
            -0.161768526,
            -0.160309434,
            -0.158850327,
            -0.15739122,
            -0.155932128,
            -0.154473037,
            -0.15301393,
            -0.151554838,
            -0.150538057,
            -0.149808511,
            -0.149078965,
            -0.148349404,
            -0.147619858,
            -0.146890312,
            -0.146160766,
            -0.145431206,
            -0.14470166,
            -0.143972114,
            -0.143242568,
            -0.142513007,
            -0.141783461,
            -0.141053915,
            -0.140324369,
            -0.139594808,
            -0.138398051,
            -0.136695758,
            -0.134993479,
            -0.133291185,
            -0.131588906,
            -0.129886612,
            -0.128184333,
            -0.12648204,
            -0.124779753,
            -0.123077467,
            -0.121375188,
            -0.119672894,
            -0.117970616,
            -0.116268322,
            -0.114566043,
            -0.112863749,
            -0.110989138,
            -0.108800486,
            -0.10661184,
            -0.104423195,
            -0.10223455,
            -0.100045897,
            -0.0978572518,
            -0.0956686065,
            -0.0934799612,
            -0.0912913084,
            -0.0891026631,
            -0.0869140178,
            -0.0847253725,
            -0.0825367272,
            -0.0803480744,
            -0.0781594366,
            -0.0757486671,
            -0.0725872815,
            -0.0694259033,
            -0.0662645176,
            -0.0631031394,
            -0.0599417537,
            -0.0567803755,
            -0.0536189936,
            -0.0504576117,
            -0.0472962297,
            -0.0441348478,
            -0.0409734659,
            -0.037812084,
            -0.034650702,
            -0.0314893201,
            -0.0283279419,
            -0.0252412371,
            -0.0228094049,
            -0.0203775726,
            -0.0179457404,
            -0.015513909,
            -0.0130820777,
            -0.0106502455,
            -0.00821841322,
            -0.00578658096,
            -0.00335474871,
            -0.00092291832,
            0.00150891393,
            0.00394074619,
            0.00637257844,
            0.0088044107,
            0.0112362429,
            0.0136680752,
            0.0151501512,
            0.0166092515,
            0.0180683509,
            0.0195274483,
            0.0209865477,
            0.022445647,
            0.0239047464,
            0.0253638458,
            0.0268229451,
            0.0282820445,
            0.0297411438,
            0.0312002432,
            0.0326593406,
            0.03411844,
            0.0355775394,
            0.0370366387,
            0.0384957381,
            0.0399548374,
            0.0414139368,
            0.0428730361,
            0.0443321355,
            0.0457912348,
            0.0472503342,
            0.0487094335,
            0.0501685329,
            0.0516276322,
            0.0530867279,
            0.0545458272,
            0.0560049266,
            0.0574640259,
            0.0589231253,
            0.0603822246,
            0.0620174892,
            0.0637197718,
            0.0654220507,
            0.067124337,
            0.0688266158,
            0.0705289021,
            0.072231181,
            0.0739334673,
            0.0756357461,
            0.0773380324,
            0.0790403113,
            0.0807425976,
            0.0824448764,
            0.0841471627,
            0.0858494416,
            0.0875517279,
            0.089108482,
            0.0905675814,
            0.0920266807,
            0.0934857801,
            0.0949448794,
            0.0964039788,
            0.0978630781,
            0.0993221775,
            0.100781277,
            0.102240376,
            0.103699476,
            0.105158567,
            0.106617674,
            0.108076766,
            0.109535873,
            0.110994965,
            0.1121094,
            0.112838946,
            0.1135685,
            0.114298046,
            0.115027599,
            0.115757145,
            0.116486698,
            0.117216244,
            0.117945798,
            0.118675344,
            0.119404897,
            0.120134443,
            0.120863989,
            0.121593542,
            0.122323096,
            0.123052642,
            0.1241192,
            0.125821486,
            0.127523765,
            0.129226044,
            0.130928338,
            0.132630616,
            0.134332895,
            0.136035174,
            0.137737453,
            0.139439747,
            0.141142026,
            0.142844304,
            0.144546598,
            0.146248877,
            0.147951156,
            0.149653435,
            0.151141256,
            0.151870817,
            0.152600363,
            0.153329924,
            0.15405947,
            0.154789031,
            0.155518577,
            0.156248137,
            0.156977683,
            0.157707244,
            0.15843679,
            0.159166351,
            0.159895897,
            0.160625458,
            0.161355004,
            0.162084565,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163359836,
            0.164089382,
            0.164818928,
            0.165548474,
            0.16627802,
            0.167007565,
            0.167737111,
            0.168466657,
            0.169196203,
            0.169925749,
            0.170655295,
            0.171384841,
            0.172114387,
            0.172843933,
            0.173573479,
            0.174303025,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174078986,
            0.17334944,
            0.172619894,
            0.171890348,
            0.171160802,
            0.170431256,
            0.16970171,
            0.168972164,
            0.168242618,
            0.167513072,
            0.166783527,
            0.166053981,
            0.165324435,
            0.164594889,
            0.163865343,
            0.163135797,
            0.162067324,
            0.160608217,
            0.159149125,
            0.157690018,
            0.156230912,
            0.154771805,
            0.153312713,
            0.151853606,
            0.150394499,
            0.148935407,
            0.147476301,
            0.146017194,
            0.144558087,
            0.143098995,
            0.141639888,
            0.140180781,
            0.138886362,
            0.137913629,
            0.136940897,
            0.135968164,
            0.134995431,
            0.134022698,
            0.133049965,
            0.132077232,
            0.131104499,
            0.130131766,
            0.129159033,
            0.1281863,
            0.127213567,
            0.126240835,
            0.125268102,
            0.124295369,
            0.123374335,
            0.122644782,
            0.121915236,
            0.121185683,
            0.120456137,
            0.119726583,
            0.118997037,
            0.118267484,
            0.117537938,
            0.116808385,
            0.116078839,
            0.115349285,
            0.114619739,
            0.113890186,
            0.11316064,
            0.112431087,
            0.111638352,
            0.110179253,
            0.108720154,
            0.107261054,
            0.105801955,
            0.104342856,
            0.102883756,
            0.101424657,
            0.0999655575,
            0.0985064581,
            0.0970473588,
            0.0955882594,
            0.09412916,
            0.0926700607,
            0.0912109613,
            0.089751862,
            0.0882927626,
            0.0875344947,
            0.0868049413,
            0.0860753953,
            0.0853458419,
            0.084616296,
            0.0838867426,
            0.0831571966,
            0.0824276432,
            0.0816980973,
            0.0809685439,
            0.0802389979,
            0.0795094445,
            0.0787798986,
            0.0780503452,
            0.0773207992,
            0.0765912458,
            0.0756587237,
            0.0746859908,
            0.0737132579,
            0.072740525,
            0.0717677921,
            0.0707950592,
            0.0698223263,
            0.0688495934,
            0.0678768605,
            0.0669041276,
            0.0659313947,
            0.0649586618,
            0.0639859289,
            0.063013196,
            0.0620404668,
            0.0610677339,
            0.0602673367,
            0.059537787,
            0.0588082373,
            0.0580786876,
            0.057349138,
            0.0566195883,
            0.0558900386,
            0.0551604889,
            0.0544309393,
            0.0537013896,
            0.0529718399,
            0.0522422902,
            0.0515127406,
            0.0507831909,
            0.0500536412,
            0.0493240915,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0492609031,
            0.0499904528,
            0.0507200025,
            0.0514495522,
            0.0521791019,
            0.0529086515,
            0.0536382012,
            0.0543677509,
            0.0550973006,
            0.0558268502,
            0.0565563999,
            0.0572859496,
            0.0580154993,
            0.0587450489,
            0.0594745986,
            0.0602041483,
            0.0609834827,
            0.0619562156,
            0.0629289448,
            0.0639016777,
            0.0648744106,
            0.0658471435,
            0.0668198764,
            0.0677926093,
            0.0687653422,
            0.0697380751,
            0.070710808,
            0.0716835409,
            0.0726562738,
            0.0736290067,
            0.0746017396,
            0.0755744725,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.077165693,
            0.0778952464,
            0.0786247924,
            0.0793543458,
            0.0800838917,
            0.0808134452,
            0.0815429911,
            0.0822725445,
            0.0830020905,
            0.0837316439,
            0.0844611898,
            0.0851907432,
            0.0859202892,
            0.0866498426,
            0.0873793885,
            0.0881089419,
            0.0888384879,
            0.0895680413,
            0.0902975872,
            0.0910271406,
            0.0917566866,
            0.09248624,
            0.0932157859,
            0.0939453393,
            0.0946748853,
            0.0954044387,
            0.0961339846,
            0.096863538,
            0.097593084,
            0.0983226374,
            0.0990521833,
            0.0997817367,
            0.100511283,
            0.101240836,
            0.101970382,
            0.102699935,
            0.103429481,
            0.104159027,
            0.104888581,
            0.105618127,
            0.10634768,
            0.107077226,
            0.107806779,
            0.108536325,
            0.109265879,
            0.109995425,
            0.110724978,
            0.111454524,
            0.112743206,
            0.114445485,
            0.116147771,
            0.11785005,
            0.119552337,
            0.121254615,
            0.122956902,
            0.124659181,
            0.126361459,
            0.128063753,
            0.129766032,
            0.131468311,
            0.13317059,
            0.134872884,
            0.136575162,
            0.138277441,
            0.139870584,
            0.141329691,
            0.142788783,
            0.14424789,
            0.145706996,
            0.147166088,
            0.148625195,
            0.150084302,
            0.151543409,
            0.153002501,
            0.154461607,
            0.155920714,
            0.157379821,
            0.158838913,
            0.16029802,
            0.161757126,
            0.163216218,
            0.164675325,
            0.166134417,
            0.167593509,
            0.169052601,
            0.170511708,
            0.1719708,
            0.173429891,
            0.174888983,
            0.17634809,
            0.177807182,
            0.179266274,
            0.180725366,
            0.182184458,
            0.183643565,
            0.185102656,
            0.186609626,
            0.188311905,
            0.190014184,
            0.191716477,
            0.193418756,
            0.195121035,
            0.196823314,
            0.198525608,
            0.200227886,
            0.201930165,
            0.203632444,
            0.205334723,
            0.207037017,
            0.208739296,
            0.210441574,
            0.212143853,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.21303618,
            0.212306634,
            0.211577088,
            0.210847542,
            0.210117996,
            0.20938845,
            0.208658904,
            0.207929358,
            0.207199812,
            0.206470266,
            0.20574072,
            0.205011174,
            0.204281628,
            0.203552082,
            0.202822536,
            0.20209299,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201409385,
            0.200436652,
            0.199463919,
            0.198491186,
            0.197518438,
            0.196545705,
            0.195572972,
            0.194600239,
            0.193627492,
            0.192654759,
            0.191682026,
            0.190709293,
            0.189736545,
            0.188763812,
            0.187791079,
            0.186818346,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186580896,
            0.187553644,
            0.188526377,
            0.18949911,
            0.190471843,
            0.191444591,
            0.192417324,
            0.193390056,
            0.194362789,
            0.195335537,
            0.19630827,
            0.197281003,
            0.198253736,
            0.199226469,
            0.200199217,
            0.20117195,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201899588,
            0.200926855,
            0.199954107,
            0.198981375,
            0.198008642,
            0.197035909,
            0.196063161,
            0.195090428,
            0.194117695,
            0.193144962,
            0.192172229,
            0.191199481,
            0.190226749,
            0.189254016,
            0.188281283,
            0.187308535,
            0.186335802,
            0.185590938,
            0.184861392,
            0.184131831,
            0.183402285,
            0.182672739,
            0.181943193,
            0.181213632,
            0.180484086,
            0.17975454,
            0.179024994,
            0.178295434,
            0.177565888,
            0.176836342,
            0.176106796,
            0.175377235,
            0.174647689,
            0.173918143,
            0.173188597,
            0.172459051,
            0.171729505,
            0.170999959,
            0.170270413,
            0.169540867,
            0.168811321,
            0.168081775,
            0.167352229,
            0.166622683,
            0.165893137,
            0.165163592,
            0.164434046,
            0.1637045,
            0.162974954,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162337318,
            0.161607757,
            0.160878211,
            0.16014865,
            0.159419104,
            0.158689559,
            0.157959998,
            0.157230437,
            0.156500891,
            0.155771345,
            0.155041784,
            0.154312223,
            0.153582677,
            0.152853131,
            0.15212357,
            0.151394024,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150940195,
            0.150210649,
            0.149481103,
            0.148751557,
            0.148021996,
            0.14729245,
            0.146562904,
            0.145833358,
            0.145103812,
            0.144374251,
            0.143644705,
            0.142915159,
            0.142185599,
            0.141456053,
            0.140726507,
            0.139996961,
            0.139267415,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139709741,
            0.140439287,
            0.141168833,
            0.141898379,
            0.142627925,
            0.143357486,
            0.144087031,
            0.144816577,
            0.145546123,
            0.146275684,
            0.14700523,
            0.147734776,
            0.148464322,
            0.149193883,
            0.149923429,
            0.150652975,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151652515,
            0.152382076,
            0.153111622,
            0.153841183,
            0.154570729,
            0.155300289,
            0.156029835,
            0.156759396,
            0.157488942,
            0.158218503,
            0.158948049,
            0.15967761,
            0.160407156,
            0.161136717,
            0.161866263,
            0.162595823,
            0.163325369,
            0.164054915,
            0.164784461,
            0.165514007,
            0.166243553,
            0.166973099,
            0.167702645,
            0.168432191,
            0.169161737,
            0.169891283,
            0.170620829,
            0.171350375,
            0.172079921,
            0.172809467,
            0.173539013,
            0.174268559,
            0.174998105,
            0.175727651,
            0.176457196,
            0.177186757,
            0.177916303,
            0.178645849,
            0.179375395,
            0.180104956,
            0.180834502,
            0.181564048,
            0.182293594,
            0.183023155,
            0.183752701,
            0.184482247,
            0.185211793,
            0.185941353,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186061978,
            0.185332432,
            0.184602886,
            0.18387334,
            0.18314378,
            0.182414234,
            0.181684688,
            0.180955142,
            0.180225581,
            0.179496035,
            0.178766489,
            0.178036943,
            0.177307382,
            0.176577836,
            0.17584829,
            0.175118744,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.175176188,
            0.175905734,
            0.17663528,
            0.177364826,
            0.178094387,
            0.178823933,
            0.179553479,
            0.180283025,
            0.181012586,
            0.181742132,
            0.182471678,
            0.183201224,
            0.183930784,
            0.18466033,
            0.185389876,
            0.186119422,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.18597582,
            0.185246259,
            0.184516713,
            0.183787167,
            0.183057621,
            0.18232806,
            0.181598514,
            0.180868968,
            0.180139422,
            0.179409862,
            0.178680316,
            0.17795077,
            0.177221224,
            0.176491678,
            0.175762117,
            0.175032571,
            0.174303025,
            0.173573479,
            0.172843933,
            0.172114387,
            0.171384841,
            0.170655295,
            0.169925749,
            0.169196203,
            0.168466657,
            0.167737111,
            0.167007565,
            0.16627802,
            0.165548474,
            0.164818928,
            0.164089382,
            0.163359836,
            0.16263029,
            0.161900729,
            0.161171183,
            0.160441622,
            0.159712076,
            0.158982515,
            0.158252969,
            0.157523409,
            0.156793863,
            0.156064302,
            0.155334756,
            0.154605195,
            0.153875649,
            0.153146088,
            0.152416542,
            0.151686981,
            0.150957435,
            0.150227889,
            0.149498329,
            0.148768783,
            0.148039237,
            0.147309691,
            0.14658013,
            0.145850584,
            0.145121038,
            0.144391492,
            0.143661946,
            0.142932385,
            0.142202839,
            0.141473293,
            0.140743747,
            0.140014187,
            0.139284641,
            0.138334885,
            0.137362152,
            0.136389419,
            0.135416687,
            0.134443954,
            0.133471221,
            0.132498488,
            0.131525755,
            0.130553022,
            0.129580289,
            0.128607556,
            0.127634823,
            0.12666209,
            0.125689358,
            0.124716625,
            0.123743892,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123052642,
            0.122323096,
            0.121593542,
            0.120863996,
            0.120134443,
            0.119404897,
            0.118675344,
            0.117945798,
            0.117216244,
            0.116486698,
            0.115757145,
            0.115027599,
            0.114298046,
            0.1135685,
            0.112838946,
            0.1121094,
            0.110994965,
            0.109535865,
            0.108076766,
            0.106617674,
            0.105158567,
            0.103699476,
            0.102240376,
            0.100781277,
            0.0993221775,
            0.0978630781,
            0.0964039788,
            0.0949448794,
            0.0934857801,
            0.0920266807,
            0.0905675814,
            0.089108482,
            0.0879423469,
            0.087212801,
            0.0864832476,
            0.0857537016,
            0.0850241482,
            0.0842946023,
            0.0835650563,
            0.0828355029,
            0.0821059495,
            0.0813764036,
            0.0806468576,
            0.0799173042,
            0.0791877508,
            0.0784582049,
            0.0777286589,
            0.0769991055,
            0.0762025341,
            0.0752298012,
            0.0742570758,
            0.0732843429,
            0.07231161,
            0.0713388771,
            0.0703661442,
            0.0693934113,
            0.0684206784,
            0.0674479455,
            0.0664752126,
            0.0655024797,
            0.0645297468,
            0.0635570139,
            0.062584281,
            0.0616115481,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607671067,
            0.060037557,
            0.0593080074,
            0.0585784577,
            0.057848908,
            0.0571193583,
            0.0563898087,
            0.055660259,
            0.0549307093,
            0.0542011596,
            0.05347161,
            0.0527420603,
            0.0520125106,
            0.0512829609,
            0.0505534112,
            0.0498238616,
            0.0490943119,
            0.0483647622,
            0.0476352125,
            0.0469056629,
            0.0461761132,
            0.0454465635,
            0.0447170138,
            0.0439874679,
            0.0432579145,
            0.0425283685,
            0.0417988151,
            0.0410692692,
            0.0403397158,
            0.0396101698,
            0.0388806202,
            0.0381510705,
            0.0374215208,
            0.0366919711,
            0.0359624214,
            0.0352328718,
            0.0345033221,
            0.0337737724,
            0.0330442227,
            0.0323146731,
            0.0315851234,
            0.0308555737,
            0.030126024,
            0.0293964744,
            0.0286669247,
            0.027937375,
            0.0272078253,
            0.0264782757,
            0.025748726,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0251110885,
            0.0243815389,
            0.0236519892,
            0.0229224395,
            0.0221928898,
            0.0214633401,
            0.0207337905,
            0.0200042408,
            0.0192746911,
            0.0185451414,
            0.0178155936,
            0.017086044,
            0.0163564943,
            0.0156269446,
            0.014897394,
            0.0141678443,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0135302069,
            0.0128006572,
            0.0120711075,
            0.0113415578,
            0.0106120082,
            0.00988245849,
            0.00915290974,
            0.00842336006,
            0.00769380992,
            0.00696426025,
            0.00623471104,
            0.00550516136,
            0.00477561168,
            0.00404606201,
            0.00331651233,
            0.00258696266,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00134040962,
            0.000367676839,
            -0.000605056062,
            -0.00157778873,
            -0.0025505214,
            -0.0035232543,
            -0.0044959872,
            -0.00546871964,
            -0.00644145254,
            -0.00741418544,
            -0.00838691834,
            -0.00935965125,
            -0.0103323841,
            -0.0113051161,
            -0.012277849,
            -0.0132505819,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0140069397,
            -0.0147364885,
            -0.0154660381,
            -0.0161955878,
            -0.0169251375,
            -0.0176546872,
            -0.0183842368,
            -0.0191137865,
            -0.0198433362,
            -0.0205728859,
            -0.0213024355,
            -0.0220319852,
            -0.0227615349,
            -0.0234910846,
            -0.0242206343,
            -0.0249501839,
            -0.0258693006,
            -0.0273283999,
            -0.0287874993,
            -0.0302465986,
            -0.0317056961,
            -0.0331647955,
            -0.0346238948,
            -0.0360829942,
            -0.0375420935,
            -0.0390011929,
            -0.0404602922,
            -0.0419193916,
            -0.043378491,
            -0.0448375903,
            -0.0462966897,
            -0.047755789,
            -0.04924744,
            -0.0509497225,
            -0.0526520051,
            -0.0543542877,
            -0.0560565703,
            -0.0577588528,
            -0.0594611317,
            -0.061163418,
            -0.0628656968,
            -0.0645679832,
            -0.066270262,
            -0.0679725483,
            -0.0696748272,
            -0.0713771135,
            -0.0730793923,
            -0.0747816712,
            -0.0764762983,
            -0.0772058517,
            -0.0779353976,
            -0.0786649436,
            -0.079394497,
            -0.0801240429,
            -0.0808535963,
            -0.0815831423,
            -0.0823126957,
            -0.0830422416,
            -0.083771795,
            -0.084501341,
            -0.0852308944,
            -0.0859604403,
            -0.0866899937,
            -0.0874195397,
            -0.0881490931,
            -0.088878639,
            -0.0896081924,
            -0.0903377384,
            -0.0910672918,
            -0.0917968377,
            -0.0925263911,
            -0.0932559371,
            -0.0939854905,
            -0.0947150365,
            -0.0954445899,
            -0.0961741358,
            -0.0969036892,
            -0.0976332352,
            -0.0983627886,
            -0.0990923345,
            -0.0998218879,
            -0.101102903,
            -0.102562003,
            -0.104021102,
            -0.105480202,
            -0.106939301,
            -0.1083984,
            -0.1098575,
            -0.111316599,
            -0.112775698,
            -0.114234798,
            -0.115693897,
            -0.117152996,
            -0.118612096,
            -0.120071195,
            -0.121530294,
            -0.122989394,
            -0.124142118,
            -0.125114858,
            -0.126087591,
            -0.127060324,
            -0.128033057,
            -0.12900579,
            -0.129978523,
            -0.13095127,
            -0.131924003,
            -0.132896736,
            -0.133869469,
            -0.134842202,
            -0.135814935,
            -0.136787668,
            -0.137760401,
            -0.138733134,
            -0.139583319,
            -0.14031288,
            -0.141042426,
            -0.141771972,
            -0.142501518,
            -0.143231079,
            -0.143960625,
            -0.144690171,
            -0.145419717,
            -0.146149278,
            -0.146878824,
            -0.14760837,
            -0.148337916,
            -0.149067476,
            -0.149797022,
            -0.150526568,
            -0.151256114,
            -0.151985675,
            -0.152715221,
            -0.153444767,
            -0.154174313,
            -0.154903859,
            -0.15563342,
            -0.156362966,
            -0.157092512,
            -0.157822058,
            -0.158551618,
            -0.159281164,
            -0.16001071,
            -0.160740256,
            -0.161469817,
            -0.162199363,
            -0.162928909,
            -0.163658455,
            -0.164388016,
            -0.165117562,
            -0.165847108,
            -0.166576654,
            -0.167306215,
            -0.168035761,
            -0.168765306,
            -0.169494852,
            -0.170224413,
            -0.170953959,
            -0.171683505,
            -0.172413051,
            -0.173142612,
            -0.173872158,
            -0.174693614,
            -0.176152721,
            -0.177611813,
            -0.17907092,
            -0.180530012,
            -0.181989118,
            -0.18344821,
            -0.184907317,
            -0.186366409,
            -0.187825516,
            -0.189284608,
            -0.190743715,
            -0.192202806,
            -0.193661898,
            -0.195121005,
            -0.196580112
          ],
          [
            -0.225490183,
            -0.226219729,
            -0.226949275,
            -0.227678835,
            -0.228408381,
            -0.229137927,
            -0.229867473,
            -0.230597034,
            -0.23132658,
            -0.232056126,
            -0.232785672,
            -0.233515233,
            -0.234244779,
            -0.234974325,
            -0.235703871,
            -0.236433432,
            -0.237162977,
            -0.237892523,
            -0.238622069,
            -0.23935163,
            -0.240081176,
            -0.240810722,
            -0.241540268,
            -0.242269829,
            -0.242999375,
            -0.243728921,
            -0.244458467,
            -0.245188028,
            -0.245917574,
            -0.24664712,
            -0.247376665,
            -0.248106226,
            -0.248835772,
            -0.249565318,
            -0.250294864,
            -0.251024425,
            -0.251753986,
            -0.252483517,
            -0.253213078,
            -0.253942639,
            -0.25467217,
            -0.255401731,
            -0.256131291,
            -0.256860822,
            -0.257590383,
            -0.258319944,
            -0.259049475,
            -0.259779036,
            -0.260508597,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260899216,
            -0.261871934,
            -0.262844682,
            -0.2638174,
            -0.264790148,
            -0.265762866,
            -0.266735613,
            -0.267708331,
            -0.268681079,
            -0.269653797,
            -0.270626515,
            -0.271599263,
            -0.272571981,
            -0.273544729,
            -0.274517447,
            -0.275490195,
            -0.276462913,
            -0.277194381,
            -0.277923912,
            -0.278653473,
            -0.279383034,
            -0.280112565,
            -0.280842125,
            -0.281571686,
            -0.282301217,
            -0.283030778,
            -0.283760309,
            -0.28448987,
            -0.285219431,
            -0.285948962,
            -0.286678523,
            -0.287408084,
            -0.288137615,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.287879109,
            -0.287149578,
            -0.286420017,
            -0.285690457,
            -0.284960926,
            -0.284231365,
            -0.283501834,
            -0.282772273,
            -0.282042712,
            -0.281313181,
            -0.28058362,
            -0.279854059,
            -0.279124528,
            -0.278394967,
            -0.277665436,
            -0.276935875,
            -0.275853992,
            -0.274151713,
            -0.272449434,
            -0.270747155,
            -0.269044876,
            -0.267342597,
            -0.265640289,
            -0.26393801,
            -0.262235731,
            -0.260533452,
            -0.258831173,
            -0.257128894,
            -0.255426615,
            -0.253724337,
            -0.252022028,
            -0.250319749,
            -0.248847261,
            -0.248117715,
            -0.247388154,
            -0.246658608,
            -0.245929062,
            -0.245199516,
            -0.244469956,
            -0.24374041,
            -0.243010864,
            -0.242281318,
            -0.241551757,
            -0.240822211,
            -0.240092665,
            -0.239363119,
            -0.238633558,
            -0.237904012,
            -0.237094045,
            -0.235634938,
            -0.234175846,
            -0.232716739,
            -0.231257647,
            -0.22979854,
            -0.228339449,
            -0.226880342,
            -0.22542125,
            -0.223962143,
            -0.222503051,
            -0.221043944,
            -0.219584852,
            -0.218125761,
            -0.216666654,
            -0.215207547,
            -0.213748455,
            -0.212768063,
            -0.21179533,
            -0.210822597,
            -0.209849864,
            -0.208877131,
            -0.207904398,
            -0.206931666,
            -0.205958933,
            -0.2049862,
            -0.204013467,
            -0.203040734,
            -0.202068001,
            -0.201095268,
            -0.200122535,
            -0.199149802,
            -0.198177069,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197504967,
            -0.196775422,
            -0.196045861,
            -0.195316315,
            -0.194586769,
            -0.193857223,
            -0.193127662,
            -0.192398116,
            -0.19166857,
            -0.190939024,
            -0.190209478,
            -0.189479917,
            -0.188750371,
            -0.188020825,
            -0.187291279,
            -0.186561719,
            -0.185832173,
            -0.185102627,
            -0.184373081,
            -0.18364352,
            -0.182913974,
            -0.182184428,
            -0.181454882,
            -0.180725321,
            -0.179995775,
            -0.179266229,
            -0.178536683,
            -0.177807122,
            -0.177077577,
            -0.176348031,
            -0.175618485,
            -0.174888924,
            -0.173458546,
            -0.171269909,
            -0.169081256,
            -0.166892603,
            -0.164703965,
            -0.162515312,
            -0.16032666,
            -0.158138007,
            -0.155949369,
            -0.153760716,
            -0.151572064,
            -0.149383411,
            -0.147194773,
            -0.14500612,
            -0.142817467,
            -0.140628815,
            -0.138354003,
            -0.135922164,
            -0.133490339,
            -0.131058499,
            -0.128626674,
            -0.126194835,
            -0.123763002,
            -0.12133117,
            -0.11889933,
            -0.116467498,
            -0.114035666,
            -0.111603834,
            -0.109172001,
            -0.106740162,
            -0.10430833,
            -0.101876497,
            -0.0992780775,
            -0.0961166918,
            -0.0929553136,
            -0.089793928,
            -0.0866325498,
            -0.0834711641,
            -0.0803097859,
            -0.0771484077,
            -0.073987022,
            -0.0708256364,
            -0.0676642582,
            -0.06450288,
            -0.0613414943,
            -0.0581801124,
            -0.0550187305,
            -0.0518573523,
            -0.0487955399,
            -0.0466068909,
            -0.0444182418,
            -0.0422295928,
            -0.0400409438,
            -0.0378522947,
            -0.0356636494,
            -0.0334749967,
            -0.0312863514,
            -0.0290977005,
            -0.0269090533,
            -0.0247204043,
            -0.0225317553,
            -0.0203431062,
            -0.0181544572,
            -0.0159658082,
            -0.0137771592,
            -0.0120633887,
            -0.0103611061,
            -0.00865882449,
            -0.00695654145,
            -0.00525425933,
            -0.00355197676,
            -0.00184969418,
            -0.0001474116,
            0.00155487005,
            0.00325715356,
            0.00495943427,
            0.00666171685,
            0.00836399943,
            0.010066282,
            0.0117685646,
            0.0134708472,
            0.0149663277,
            0.016425427,
            0.0178845264,
            0.0193436258,
            0.0208027251,
            0.0222618245,
            0.0237209238,
            0.0251800232,
            0.0266391225,
            0.0280982219,
            0.0295573194,
            0.0310164187,
            0.0324755162,
            0.0339346156,
            0.0353937149,
            0.0368528143,
            0.0390165709,
            0.0414484031,
            0.0438802354,
            0.0463120677,
            0.0487438999,
            0.0511757322,
            0.0536075607,
            0.0560393929,
            0.0584712252,
            0.0609030575,
            0.0633348897,
            0.065766722,
            0.0681985542,
            0.0706303865,
            0.0730622187,
            0.075494051,
            0.0773437768,
            0.0788028762,
            0.0802619755,
            0.0817210749,
            0.0831801742,
            0.0846392736,
            0.0860983729,
            0.0875574723,
            0.0890165716,
            0.090475671,
            0.0919347703,
            0.0933938622,
            0.0948529691,
            0.096312061,
            0.0977711678,
            0.0992302597,
            0.100344695,
            0.101074241,
            0.101803795,
            0.10253334,
            0.103262894,
            0.10399244,
            0.104721993,
            0.105451539,
            0.106181093,
            0.106910639,
            0.107640192,
            0.108369738,
            0.109099284,
            0.109828837,
            0.110558391,
            0.111287937,
            0.112354495,
            0.114056781,
            0.11575906,
            0.117461346,
            0.119163625,
            0.120865911,
            0.12256819,
            0.124270469,
            0.125972748,
            0.127675042,
            0.12937732,
            0.131079599,
            0.132781893,
            0.134484172,
            0.136186451,
            0.13788873,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139922276,
            0.140651822,
            0.141381383,
            0.142110929,
            0.142840475,
            0.143570021,
            0.144299582,
            0.145029128,
            0.145758674,
            0.146488219,
            0.14721778,
            0.147947326,
            0.148676872,
            0.149406418,
            0.150135979,
            0.150865525,
            0.151595071,
            0.152324632,
            0.153054178,
            0.153783739,
            0.154513285,
            0.155242845,
            0.155972391,
            0.156701952,
            0.157431498,
            0.158161059,
            0.158890605,
            0.159620166,
            0.160349712,
            0.161079273,
            0.161808819,
            0.162538379,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.16231434,
            0.16158478,
            0.160855234,
            0.160125673,
            0.159396127,
            0.158666566,
            0.15793702,
            0.157207459,
            0.156477913,
            0.155748367,
            0.155018806,
            0.154289246,
            0.1535597,
            0.152830154,
            0.152100593,
            0.151371032,
            0.150189593,
            0.1484873,
            0.146785021,
            0.145082742,
            0.143380463,
            0.141678184,
            0.139975891,
            0.138273612,
            0.136571333,
            0.134869054,
            0.13316676,
            0.131464481,
            0.129762203,
            0.128059924,
            0.12635763,
            0.124655351,
            0.123282418,
            0.122552872,
            0.121823326,
            0.121093772,
            0.120364226,
            0.119634673,
            0.118905127,
            0.118175574,
            0.117446028,
            0.116716474,
            0.115986928,
            0.115257375,
            0.114527829,
            0.113798276,
            0.11306873,
            0.112339176,
            0.11160963,
            0.110880077,
            0.110150531,
            0.109420978,
            0.108691432,
            0.107961878,
            0.107232332,
            0.106502779,
            0.105773233,
            0.105043679,
            0.104314134,
            0.10358458,
            0.102855034,
            0.102125481,
            0.101395935,
            0.100666381,
            0.0999368355,
            0.0992072821,
            0.0984777361,
            0.0977481827,
            0.0970186368,
            0.0962890834,
            0.0955595374,
            0.094829984,
            0.0941004381,
            0.0933708847,
            0.0926413387,
            0.0919117928,
            0.0911822394,
            0.090452686,
            0.08972314,
            0.0889935941,
            0.0882640406,
            0.0866000578,
            0.0848977715,
            0.0831954926,
            0.0814932063,
            0.0797909275,
            0.0780886412,
            0.0763863623,
            0.074684076,
            0.0729817972,
            0.0712795109,
            0.069577232,
            0.0678749532,
            0.0661726668,
            0.0644703805,
            0.0627681017,
            0.0610658191,
            0.0601754263,
            0.0594458766,
            0.058716327,
            0.0579867773,
            0.0572572276,
            0.0565276779,
            0.0557981282,
            0.0550685786,
            0.0543390289,
            0.0536094792,
            0.0528799295,
            0.0521503799,
            0.0514208302,
            0.0506912805,
            0.0499617308,
            0.0492321812,
            0.0485026315,
            0.0477730818,
            0.0470435321,
            0.0463139825,
            0.0455844328,
            0.0448548831,
            0.0441253334,
            0.0433957838,
            0.0426662341,
            0.0419366844,
            0.0412071347,
            0.040477585,
            0.0397480354,
            0.0390184857,
            0.038288936,
            0.0375593863,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0375881083,
            0.038317658,
            0.0390472077,
            0.0397767574,
            0.040506307,
            0.0412358567,
            0.0419654064,
            0.0426949561,
            0.0434245057,
            0.0441540554,
            0.0448836051,
            0.0456131548,
            0.0463427044,
            0.0470722541,
            0.0478018038,
            0.0485313535,
            0.0492609031,
            0.0499904528,
            0.0507200025,
            0.0514495522,
            0.0521791019,
            0.0529086515,
            0.0536382012,
            0.0543677509,
            0.0550973006,
            0.0558268502,
            0.0565563999,
            0.0572859496,
            0.0580154993,
            0.0587450489,
            0.0594745986,
            0.0602041483,
            0.0609834827,
            0.0619562156,
            0.0629289448,
            0.0639016777,
            0.0648744106,
            0.0658471435,
            0.0668198764,
            0.0677926093,
            0.0687653422,
            0.0697380751,
            0.070710808,
            0.0716835409,
            0.0726562738,
            0.0736290067,
            0.0746017396,
            0.0755744725,
            0.0765280575,
            0.0772576109,
            0.0779871568,
            0.0787167102,
            0.0794462562,
            0.0801758096,
            0.0809053555,
            0.0816349089,
            0.0823644549,
            0.0830940008,
            0.0838235542,
            0.0845531076,
            0.0852826536,
            0.0860121995,
            0.0867417529,
            0.0874713063,
            0.0882008523,
            0.0889303982,
            0.0896599516,
            0.0903894976,
            0.091119051,
            0.0918485969,
            0.0925781503,
            0.0933076963,
            0.0940372497,
            0.0947667956,
            0.095496349,
            0.096225895,
            0.0969554484,
            0.0976849943,
            0.0984145477,
            0.0991440937,
            0.0998736471,
            0.100603193,
            0.101332746,
            0.102062292,
            0.102791846,
            0.103521392,
            0.104250945,
            0.104980491,
            0.105710045,
            0.10643959,
            0.107169144,
            0.10789869,
            0.108628243,
            0.109357789,
            0.110087343,
            0.110816889,
            0.111546442,
            0.112275988,
            0.113005541,
            0.113735087,
            0.114464641,
            0.115194187,
            0.115923733,
            0.116653286,
            0.117382832,
            0.118112385,
            0.118841931,
            0.119571485,
            0.120301031,
            0.121030584,
            0.12176013,
            0.122489683,
            0.123219229,
            0.124507912,
            0.126210198,
            0.127912477,
            0.129614756,
            0.131317034,
            0.133019328,
            0.134721607,
            0.136423886,
            0.138126165,
            0.139828458,
            0.141530737,
            0.143233016,
            0.144935295,
            0.146637589,
            0.148339868,
            0.150042146,
            0.151635289,
            0.153094381,
            0.154553488,
            0.15601258,
            0.157471687,
            0.158930779,
            0.160389885,
            0.161848977,
            0.163308084,
            0.164767176,
            0.166226283,
            0.167685375,
            0.169144481,
            0.170603573,
            0.172062665,
            0.173521772,
            0.175059378,
            0.176761672,
            0.178463951,
            0.180166245,
            0.181868523,
            0.183570817,
            0.185273096,
            0.18697539,
            0.188677669,
            0.190379947,
            0.192082241,
            0.193784535,
            0.195486814,
            0.197189093,
            0.198891386,
            0.200593665,
            0.202248082,
            0.203707173,
            0.20516628,
            0.206625372,
            0.208084464,
            0.209543556,
            0.211002663,
            0.212461755,
            0.213920847,
            0.215379938,
            0.216839045,
            0.218298137,
            0.219757229,
            0.221216321,
            0.222675428,
            0.22413452,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.22480087,
            0.224071324,
            0.223341778,
            0.222612232,
            0.221882671,
            0.221153125,
            0.220423579,
            0.219694033,
            0.218964472,
            0.218234926,
            0.217505381,
            0.216775835,
            0.216046274,
            0.215316728,
            0.214587182,
            0.213857636,
            0.21312809,
            0.212398544,
            0.211668998,
            0.210939452,
            0.210209906,
            0.20948036,
            0.208750814,
            0.208021268,
            0.207291722,
            0.206562176,
            0.20583263,
            0.205103084,
            0.204373538,
            0.203643993,
            0.202914447,
            0.202184901,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.202374458,
            0.203104004,
            0.20383355,
            0.204563096,
            0.205292642,
            0.206022188,
            0.206751734,
            0.20748128,
            0.208210826,
            0.208940372,
            0.209669918,
            0.210399464,
            0.21112901,
            0.211858556,
            0.212588102,
            0.213317648,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213955283,
            0.214684829,
            0.21541439,
            0.216143936,
            0.216873482,
            0.217603028,
            0.218332589,
            0.219062135,
            0.219791681,
            0.220521227,
            0.221250787,
            0.221980333,
            0.222709879,
            0.223439425,
            0.224168986,
            0.224898532,
            0.225352347,
            0.224622801,
            0.22389324,
            0.223163694,
            0.222434148,
            0.221704602,
            0.220975041,
            0.220245495,
            0.219515949,
            0.218786404,
            0.218056843,
            0.217327297,
            0.216597751,
            0.215868205,
            0.215138644,
            0.214409098,
            0.213679552,
            0.212950006,
            0.21222046,
            0.211490914,
            0.210761368,
            0.210031822,
            0.209302276,
            0.20857273,
            0.207843184,
            0.207113639,
            0.206384093,
            0.205654547,
            0.204925001,
            0.204195455,
            0.203465909,
            0.202736363,
            0.202006817,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201294497,
            0.200321764,
            0.199349031,
            0.198376283,
            0.19740355,
            0.196430817,
            0.195458084,
            0.194485337,
            0.193512604,
            0.192539871,
            0.191567138,
            0.190594405,
            0.189621657,
            0.188648924,
            0.187676191,
            0.186703458,
            0.185866669,
            0.185137123,
            0.184407577,
            0.183678016,
            0.18294847,
            0.182218924,
            0.181489378,
            0.180759817,
            0.180030271,
            0.179300725,
            0.17857118,
            0.177841619,
            0.177112073,
            0.176382527,
            0.175652981,
            0.17492342,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174285784,
            0.173556238,
            0.172826692,
            0.172097147,
            0.171367601,
            0.170638055,
            0.169908509,
            0.169178963,
            0.168449417,
            0.167719871,
            0.166990325,
            0.166260779,
            0.165531233,
            0.164801687,
            0.164072141,
            0.163342595,
            0.162613049,
            0.161883503,
            0.161153942,
            0.160424396,
            0.159694836,
            0.15896529,
            0.158235729,
            0.157506183,
            0.156776622,
            0.156047076,
            0.155317515,
            0.154587969,
            0.153858408,
            0.153128862,
            0.152399302,
            0.151669756,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150394469,
            0.149664924,
            0.148935378,
            0.148205832,
            0.147476271,
            0.146746725,
            0.146017179,
            0.145287633,
            0.144558072,
            0.143828526,
            0.14309898,
            0.142369434,
            0.141639888,
            0.140910327,
            0.140180781,
            0.139451236,
            0.139709741,
            0.140439287,
            0.141168833,
            0.141898379,
            0.142627925,
            0.143357486,
            0.144087031,
            0.144816577,
            0.145546123,
            0.146275684,
            0.14700523,
            0.147734776,
            0.148464322,
            0.149193883,
            0.149923429,
            0.150652975,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151652515,
            0.152382076,
            0.153111622,
            0.153841183,
            0.154570729,
            0.155300289,
            0.156029835,
            0.156759396,
            0.157488942,
            0.158218503,
            0.158948049,
            0.15967761,
            0.160407156,
            0.161136717,
            0.161866263,
            0.162595823,
            0.163325369,
            0.164054915,
            0.164784461,
            0.165514007,
            0.166243553,
            0.166973099,
            0.167702645,
            0.168432191,
            0.169161737,
            0.169891283,
            0.170620829,
            0.171350375,
            0.172079921,
            0.172809467,
            0.173539013,
            0.174268559,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174906194,
            0.17563574,
            0.176365286,
            0.177094847,
            0.177824393,
            0.178553939,
            0.179283485,
            0.180013046,
            0.180742592,
            0.181472138,
            0.182201684,
            0.182931244,
            0.18366079,
            0.184390336,
            0.185119882,
            0.185849443,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.18597582,
            0.185246259,
            0.184516713,
            0.183787167,
            0.183057621,
            0.18232806,
            0.181598514,
            0.180868968,
            0.180139422,
            0.179409862,
            0.178680316,
            0.17795077,
            0.177221224,
            0.176491678,
            0.175762117,
            0.175032571,
            0.174303025,
            0.173573479,
            0.172843933,
            0.172114387,
            0.171384841,
            0.170655295,
            0.169925749,
            0.169196203,
            0.168466657,
            0.167737111,
            0.167007565,
            0.16627802,
            0.165548474,
            0.164818928,
            0.164089382,
            0.163359836,
            0.16263029,
            0.161900729,
            0.161171183,
            0.160441622,
            0.159712076,
            0.158982515,
            0.158252969,
            0.157523409,
            0.156793863,
            0.156064302,
            0.155334756,
            0.154605195,
            0.153875649,
            0.153146088,
            0.152416542,
            0.151686981,
            0.150957435,
            0.150227889,
            0.149498329,
            0.148768783,
            0.148039237,
            0.147309691,
            0.14658013,
            0.145850584,
            0.145121038,
            0.144391492,
            0.143661946,
            0.142932385,
            0.142202839,
            0.141473293,
            0.140743747,
            0.140014187,
            0.139284641,
            0.138334885,
            0.137362152,
            0.136389419,
            0.135416687,
            0.134443954,
            0.133471221,
            0.132498488,
            0.131525755,
            0.130553022,
            0.129580289,
            0.128607556,
            0.127634823,
            0.12666209,
            0.125689358,
            0.124716625,
            0.123743892,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123052642,
            0.122323096,
            0.121593542,
            0.120863996,
            0.120134443,
            0.119404897,
            0.118675344,
            0.117945798,
            0.117216244,
            0.116486698,
            0.115757145,
            0.115027599,
            0.114298046,
            0.1135685,
            0.112838946,
            0.1121094,
            0.11061009,
            0.108421437,
            0.106232792,
            0.104044139,
            0.101855494,
            0.0996668413,
            0.097478196,
            0.0952895433,
            0.093100898,
            0.0909122527,
            0.0887235999,
            0.0865349472,
            0.0843463019,
            0.0821576566,
            0.0799690038,
            0.077780351,
            0.076079987,
            0.0751072541,
            0.0741345212,
            0.0731617883,
            0.0721890554,
            0.0712163225,
            0.0702435896,
            0.0692708567,
            0.0682981238,
            0.0673253909,
            0.066352658,
            0.0653799251,
            0.0644071922,
            0.0634344593,
            0.0624617301,
            0.0614889972,
            0.0605832823,
            0.0598537326,
            0.0591241829,
            0.0583946332,
            0.0576650836,
            0.0569355339,
            0.0562059842,
            0.0554764345,
            0.0547468849,
            0.0540173352,
            0.0532877855,
            0.0525582358,
            0.0518286899,
            0.0510991365,
            0.0503695905,
            0.0496400371,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490024015,
            0.0482728519,
            0.0475433022,
            0.0468137525,
            0.0460842028,
            0.0453546531,
            0.0446251035,
            0.0438955538,
            0.0431660041,
            0.0424364544,
            0.0417069048,
            0.0409773551,
            0.0402478054,
            0.0395182557,
            0.0387887061,
            0.0380591564,
            0.0373296067,
            0.036600057,
            0.0358705074,
            0.0351409577,
            0.034411408,
            0.0336818583,
            0.0329523087,
            0.0322227627,
            0.0314932093,
            0.0307636615,
            0.0300341118,
            0.0293045621,
            0.0285750125,
            0.0278454628,
            0.027115915,
            0.0263863653,
            0.0256568156,
            0.0249272641,
            0.0241977144,
            0.0234681666,
            0.0227386169,
            0.0220090672,
            0.0212795176,
            0.0205499679,
            0.0198204182,
            0.0190908685,
            0.0183613189,
            0.0176317692,
            0.0169022195,
            0.0161726698,
            0.0154431202,
            0.0147135705,
            0.0139840208,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0133463833,
            0.0126168337,
            0.011887284,
            0.0111577343,
            0.0104281846,
            0.00969863497,
            0.00896908529,
            0.00823953561,
            0.0075099864,
            0.00678043673,
            0.00605088752,
            0.00532133784,
            0.00459178817,
            0.00386223849,
            0.00313268881,
            0.00240313914,
            0.0022480383,
            0.00297758775,
            0.00370713742,
            0.0044366871,
            0.00516623631,
            0.00589578599,
            0.00662533566,
            0.00735488534,
            0.00808443502,
            0.00881398469,
            0.00954353437,
            0.010273084,
            0.0110026337,
            0.0117321825,
            0.0124617321,
            0.0131912818,
            0.0135302069,
            0.0128006572,
            0.0120711075,
            0.0113415578,
            0.0106120082,
            0.00988245849,
            0.00915290974,
            0.00842336006,
            0.00769380992,
            0.00696426025,
            0.00623471104,
            0.00550516136,
            0.00477561168,
            0.00404606201,
            0.00331651233,
            0.00258696266,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00197230303,
            0.00270185247,
            0.00343140215,
            0.00416095182,
            0.0048905015,
            0.00562005118,
            0.00634960039,
            0.00707915006,
            0.00780869974,
            0.00853824988,
            0.00926779862,
            0.0099973483,
            0.010726898,
            0.0114564477,
            0.0121859973,
            0.012915547,
            0.0136450967,
            0.013076392,
            0.0123468433,
            0.0116172936,
            0.0108877439,
            0.0101581942,
            0.00942864455,
            0.00869909488,
            0.0079695452,
            0.00723999552,
            0.00651044585,
            0.00578089617,
            0.0050513465,
            0.00432179775,
            0.00359224807,
            0.0028626984,
            0.00213314872,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00134040962,
            0.000367676839,
            -0.000605056062,
            -0.00157778873,
            -0.0025505214,
            -0.0035232543,
            -0.0044959872,
            -0.00546871964,
            -0.00644145254,
            -0.00741418544,
            -0.00838691834,
            -0.00935965125,
            -0.0103323841,
            -0.0113051161,
            -0.012277849,
            -0.0132505819,
            -0.014098851,
            -0.0148284007,
            -0.0155579504,
            -0.0162875,
            -0.0170170497,
            -0.0177465994,
            -0.0184761491,
            -0.0192056987,
            -0.0199352484,
            -0.0206647962,
            -0.0213943459,
            -0.0221238956,
            -0.0228534453,
            -0.0235829949,
            -0.0243125446,
            -0.0250420943,
            -0.025771644,
            -0.0265011936,
            -0.0272307433,
            -0.027960293,
            -0.0286898427,
            -0.0294193923,
            -0.030148942,
            -0.0308784917,
            -0.0316080414,
            -0.0323375911,
            -0.0330671407,
            -0.0337966904,
            -0.0345262401,
            -0.0352557898,
            -0.0359853394,
            -0.0367148891,
            -0.0374444388,
            -0.0381739885,
            -0.0389035381,
            -0.0396330878,
            -0.0403626375,
            -0.0410921872,
            -0.0418217368,
            -0.0425512865,
            -0.0432808362,
            -0.0440103859,
            -0.0447399318,
            -0.0454694852,
            -0.0461990312,
            -0.0469285846,
            -0.0476581305,
            -0.0483876839,
            -0.0491172299,
            -0.0498467796,
            -0.0505763292,
            -0.0513058789,
            -0.0520354286,
            -0.0527649783,
            -0.0534945279,
            -0.0542240776,
            -0.0549536273,
            -0.055683177,
            -0.0564127266,
            -0.0571422763,
            -0.057871826,
            -0.0586013757,
            -0.0593309253,
            -0.060060475,
            -0.0607919395,
            -0.0617646724,
            -0.0627374053,
            -0.0637101382,
            -0.0646828711,
            -0.065655604,
            -0.0666283369,
            -0.0676010698,
            -0.0685738027,
            -0.0695465356,
            -0.0705192685,
            -0.0714920014,
            -0.0724647343,
            -0.0734374672,
            -0.0744102001,
            -0.075382933,
            -0.0763556659,
            -0.0777573213,
            -0.0792164207,
            -0.08067552,
            -0.0821346194,
            -0.0835937113,
            -0.0850528181,
            -0.08651191,
            -0.0879710168,
            -0.0894301087,
            -0.090889208,
            -0.0923483074,
            -0.0938074067,
            -0.0952665061,
            -0.0967256054,
            -0.0981847048,
            -0.0996438041,
            -0.101102903,
            -0.102562003,
            -0.104021102,
            -0.105480202,
            -0.106939301,
            -0.1083984,
            -0.1098575,
            -0.111316599,
            -0.112775698,
            -0.114234798,
            -0.115693897,
            -0.117152996,
            -0.118612096,
            -0.120071195,
            -0.121530294,
            -0.122989394,
            -0.124601677,
            -0.126303971,
            -0.12800625,
            -0.129708529,
            -0.131410822,
            -0.133113101,
            -0.13481538,
            -0.136517674,
            -0.138219953,
            -0.139922231,
            -0.141624525,
            -0.143326804,
            -0.145029098,
            -0.146731377,
            -0.148433656,
            -0.150135949,
            -0.151348025,
            -0.152077585,
            -0.152807131,
            -0.153536677,
            -0.154266223,
            -0.154995784,
            -0.15572533,
            -0.156454876,
            -0.157184422,
            -0.157913983,
            -0.158643529,
            -0.159373075,
            -0.160102621,
            -0.160832182,
            -0.161561728,
            -0.162291273,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162928909,
            -0.163658455,
            -0.164388016,
            -0.165117562,
            -0.165847108,
            -0.166576654,
            -0.167306215,
            -0.168035761,
            -0.168765306,
            -0.169494852,
            -0.170224413,
            -0.170953959,
            -0.171683505,
            -0.172413051,
            -0.173142612,
            -0.173872158,
            -0.174693614,
            -0.176152721,
            -0.177611813,
            -0.17907092,
            -0.180530012,
            -0.181989118,
            -0.18344821,
            -0.184907317,
            -0.186366409,
            -0.187825516,
            -0.189284608,
            -0.190743715,
            -0.192202806,
            -0.193661898,
            -0.195121005,
            -0.196580112
          ],
          [
            -0.213725477,
            -0.214455023,
            -0.215184569,
            -0.21591413,
            -0.216643676,
            -0.217373222,
            -0.218102768,
            -0.218832329,
            -0.219561875,
            -0.220291421,
            -0.221020967,
            -0.221750528,
            -0.222480074,
            -0.22320962,
            -0.223939165,
            -0.224668726,
            -0.225398272,
            -0.226127818,
            -0.226857364,
            -0.227586925,
            -0.228316471,
            -0.229046017,
            -0.229775563,
            -0.230505124,
            -0.23123467,
            -0.231964216,
            -0.232693762,
            -0.233423322,
            -0.234152868,
            -0.234882414,
            -0.23561196,
            -0.236341521,
            -0.237071067,
            -0.237800613,
            -0.238530159,
            -0.23925972,
            -0.239989266,
            -0.240718812,
            -0.241448358,
            -0.242177919,
            -0.242907465,
            -0.24363701,
            -0.244366556,
            -0.245096117,
            -0.245825663,
            -0.246555209,
            -0.247284755,
            -0.248014301,
            -0.248743862,
            -0.249473408,
            -0.250202954,
            -0.250932515,
            -0.251662076,
            -0.252391607,
            -0.253121167,
            -0.253850728,
            -0.254580259,
            -0.25530982,
            -0.256039381,
            -0.256768912,
            -0.257498473,
            -0.258228034,
            -0.258957565,
            -0.259687126,
            -0.260416687,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.26114431,
            -0.262117058,
            -0.263089776,
            -0.264062494,
            -0.265035242,
            -0.26600796,
            -0.266980708,
            -0.267953426,
            -0.268926173,
            -0.269898891,
            -0.270871639,
            -0.271844357,
            -0.272817075,
            -0.273789823,
            -0.274762541,
            -0.275735289,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.27710247,
            -0.277832001,
            -0.278561562,
            -0.279291123,
            -0.280020654,
            -0.280750215,
            -0.281479776,
            -0.282209307,
            -0.282938868,
            -0.283668399,
            -0.28439796,
            -0.285127521,
            -0.285857052,
            -0.286586612,
            -0.287316173,
            -0.288045704,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.287879109,
            -0.287149578,
            -0.286420017,
            -0.285690457,
            -0.284960926,
            -0.284231365,
            -0.283501834,
            -0.282772273,
            -0.282042712,
            -0.281313181,
            -0.28058362,
            -0.279854059,
            -0.279124528,
            -0.278394967,
            -0.277665436,
            -0.276935875,
            -0.276118249,
            -0.275145501,
            -0.274172783,
            -0.273200065,
            -0.272227317,
            -0.271254599,
            -0.270281851,
            -0.269309133,
            -0.268336385,
            -0.267363667,
            -0.26639092,
            -0.265418202,
            -0.264445484,
            -0.263472736,
            -0.262500018,
            -0.26152727,
            -0.260611981,
            -0.25988245,
            -0.259152889,
            -0.258423328,
            -0.257693797,
            -0.256964236,
            -0.256234676,
            -0.255505145,
            -0.254775584,
            -0.254046023,
            -0.253316492,
            -0.252586931,
            -0.25185737,
            -0.251127839,
            -0.250398278,
            -0.249668717,
            -0.248939171,
            -0.248209625,
            -0.247480065,
            -0.246750519,
            -0.246020973,
            -0.245291427,
            -0.244561866,
            -0.24383232,
            -0.243102774,
            -0.242373228,
            -0.241643667,
            -0.240914121,
            -0.240184575,
            -0.239455029,
            -0.238725483,
            -0.237995923,
            -0.237266377,
            -0.236536831,
            -0.235807285,
            -0.235077724,
            -0.234348178,
            -0.233618632,
            -0.232889086,
            -0.232159525,
            -0.231429979,
            -0.230700433,
            -0.229970887,
            -0.229241326,
            -0.228511781,
            -0.227782235,
            -0.227052689,
            -0.226323128,
            -0.225593582,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.224955946,
            -0.2242264,
            -0.223496839,
            -0.222767293,
            -0.222037748,
            -0.221308202,
            -0.220578641,
            -0.219849095,
            -0.219119549,
            -0.218390003,
            -0.217660457,
            -0.216930896,
            -0.21620135,
            -0.215471804,
            -0.214742258,
            -0.214012697,
            -0.213135704,
            -0.212162971,
            -0.211190239,
            -0.210217506,
            -0.209244773,
            -0.20827204,
            -0.207299307,
            -0.206326574,
            -0.205353841,
            -0.204381108,
            -0.20340839,
            -0.202435642,
            -0.201462924,
            -0.200490177,
            -0.199517459,
            -0.198544711,
            -0.196987957,
            -0.194799319,
            -0.192610666,
            -0.190422013,
            -0.188233376,
            -0.186044723,
            -0.18385607,
            -0.181667417,
            -0.179478779,
            -0.177290127,
            -0.175101474,
            -0.172912821,
            -0.170724183,
            -0.168535531,
            -0.166346878,
            -0.164158225,
            -0.161883414,
            -0.159451574,
            -0.157019749,
            -0.15458791,
            -0.152156085,
            -0.149724245,
            -0.147292405,
            -0.144860581,
            -0.142428741,
            -0.139996916,
            -0.137565076,
            -0.135133237,
            -0.132701412,
            -0.130269572,
            -0.127837747,
            -0.125405908,
            -0.122863017,
            -0.119944818,
            -0.11702662,
            -0.114108421,
            -0.111190222,
            -0.108272023,
            -0.105353825,
            -0.102435626,
            -0.0995174274,
            -0.0965992287,
            -0.09368103,
            -0.0907628313,
            -0.0878446326,
            -0.0849264339,
            -0.0820082426,
            -0.0790900439,
            -0.0762963071,
            -0.0745940208,
            -0.072891742,
            -0.0711894557,
            -0.0694871768,
            -0.0677848905,
            -0.0660826117,
            -0.0643803254,
            -0.0626780465,
            -0.0609757639,
            -0.0592734814,
            -0.0575711988,
            -0.0558689162,
            -0.0541666336,
            -0.0524643511,
            -0.0507620685,
            -0.0490597859,
            -0.0475949422,
            -0.0461358428,
            -0.0446767434,
            -0.0432176441,
            -0.0417585447,
            -0.0402994454,
            -0.038840346,
            -0.0373812467,
            -0.0359221473,
            -0.034463048,
            -0.0330039486,
            -0.0315448493,
            -0.0300857536,
            -0.0286266543,
            -0.0271675549,
            -0.0257084556,
            -0.0234221499,
            -0.0209903177,
            -0.0185584873,
            -0.016126655,
            -0.0136948228,
            -0.0112629905,
            -0.00883115828,
            -0.00639932603,
            -0.00396749377,
            -0.00153566338,
            0.000896168873,
            0.00332800113,
            0.00575983338,
            0.00819166377,
            0.010623496,
            0.0130553283,
            0.0153109971,
            0.0174996462,
            0.0196882952,
            0.0218769424,
            0.0240655914,
            0.0262542404,
            0.0284428895,
            0.0306315385,
            0.0328201875,
            0.0350088365,
            0.0371974856,
            0.0393861309,
            0.0415747836,
            0.0437634289,
            0.045952078,
            0.048140727,
            0.0500383228,
            0.0517406054,
            0.053442888,
            0.0551451705,
            0.0568474531,
            0.0585497357,
            0.0602520183,
            0.0619543009,
            0.0636565834,
            0.0653588623,
            0.0670611486,
            0.0687634274,
            0.0704657137,
            0.0721679926,
            0.0738702789,
            0.0755725577,
            0.0771599486,
            0.078619048,
            0.0800781474,
            0.0815372467,
            0.0829963461,
            0.0844554454,
            0.0859145448,
            0.0873736441,
            0.0888327435,
            0.0902918428,
            0.0917509422,
            0.0932100415,
            0.0946691409,
            0.0961282402,
            0.0975873396,
            0.0990464389,
            0.100252785,
            0.100982331,
            0.101711884,
            0.10244143,
            0.103170976,
            0.103900529,
            0.104630075,
            0.105359629,
            0.106089175,
            0.106818728,
            0.107548274,
            0.108277828,
            0.109007373,
            0.109736927,
            0.110466473,
            0.111196026,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111833662,
            0.112563215,
            0.113292761,
            0.114022315,
            0.11475186,
            0.115481414,
            0.11621096,
            0.116940513,
            0.117670059,
            0.118399613,
            0.119129159,
            0.119858712,
            0.120588258,
            0.121317804,
            0.122047357,
            0.122776911,
            0.123506457,
            0.12447153,
            0.125444263,
            0.126416996,
            0.127389729,
            0.128362462,
            0.129335195,
            0.130307928,
            0.131280661,
            0.132253394,
            0.133226126,
            0.134198859,
            0.135171592,
            0.136144325,
            0.137117058,
            0.138089791,
            0.139062524,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.138641253,
            0.13766852,
            0.136695787,
            0.135723054,
            0.134750322,
            0.133777589,
            0.132804856,
            0.131832123,
            0.130859405,
            0.129886657,
            0.128913939,
            0.127941191,
            0.126968473,
            0.125995725,
            0.125023007,
            0.124050267,
            0.123190507,
            0.122460961,
            0.121731408,
            0.121001862,
            0.120272309,
            0.119542763,
            0.118813209,
            0.118083663,
            0.11735411,
            0.116624564,
            0.115895011,
            0.115165465,
            0.114435911,
            0.113706365,
            0.112976819,
            0.112247266,
            0.111517712,
            0.110788167,
            0.110058621,
            0.109329067,
            0.108599521,
            0.107869968,
            0.107140422,
            0.106410868,
            0.105681323,
            0.104951769,
            0.104222223,
            0.10349267,
            0.102763124,
            0.10203357,
            0.101304024,
            0.100574471,
            0.0998449251,
            0.0991153717,
            0.0983858258,
            0.0976562724,
            0.0969267264,
            0.096197173,
            0.095467627,
            0.0947380736,
            0.0940085277,
            0.0932789743,
            0.0925494283,
            0.0918198749,
            0.091090329,
            0.0903607756,
            0.0896312296,
            0.0889016762,
            0.0881721303,
            0.0874425769,
            0.0867130309,
            0.0859834775,
            0.0852539316,
            0.0845243782,
            0.0837948322,
            0.0830652788,
            0.0823357329,
            0.0816061795,
            0.0808766335,
            0.0801470876,
            0.0794175342,
            0.0786879808,
            0.0779584348,
            0.0772288889,
            0.0764993355,
            0.0755361766,
            0.0745634437,
            0.0735907108,
            0.0726179779,
            0.071645245,
            0.0706725121,
            0.0696997792,
            0.0687270463,
            0.0677543133,
            0.0667815804,
            0.0658088475,
            0.0648361146,
            0.0638633817,
            0.0628906488,
            0.0619179159,
            0.0609451868,
            0.0601754263,
            0.0594458766,
            0.058716327,
            0.0579867773,
            0.0572572276,
            0.0565276779,
            0.0557981282,
            0.0550685786,
            0.0543390289,
            0.0536094792,
            0.0528799295,
            0.0521503799,
            0.0514208302,
            0.0506912805,
            0.0499617308,
            0.0492321812,
            0.0485026315,
            0.0477730818,
            0.0470435321,
            0.0463139825,
            0.0455844328,
            0.0448548831,
            0.0441253334,
            0.0433957838,
            0.0426662341,
            0.0419366844,
            0.0412071347,
            0.040477585,
            0.0397480354,
            0.0390184857,
            0.038288936,
            0.0375593863,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0375881083,
            0.038317658,
            0.0390472077,
            0.0397767574,
            0.040506307,
            0.0412358567,
            0.0419654064,
            0.0426949561,
            0.0434245057,
            0.0441540554,
            0.0448836051,
            0.0456131548,
            0.0463427044,
            0.0470722541,
            0.0478018038,
            0.0485313535,
            0.0492609031,
            0.0499904528,
            0.0507200025,
            0.0514495522,
            0.0521791019,
            0.0529086515,
            0.0536382012,
            0.0543677509,
            0.0550973006,
            0.0558268502,
            0.0565563999,
            0.0572859496,
            0.0580154993,
            0.0587450489,
            0.0594745986,
            0.0602041483,
            0.0611328371,
            0.0628351197,
            0.064537406,
            0.0662396848,
            0.0679419711,
            0.06964425,
            0.0713465363,
            0.0730488151,
            0.074751094,
            0.0764533803,
            0.0781556666,
            0.0798579454,
            0.0815602243,
            0.0832625106,
            0.0849647895,
            0.0866670758,
            0.0882927626,
            0.089022316,
            0.089751862,
            0.0904814154,
            0.0912109613,
            0.0919405147,
            0.0926700607,
            0.0933996141,
            0.09412916,
            0.094858706,
            0.0955882594,
            0.0963178128,
            0.0970473588,
            0.0977769047,
            0.0985064581,
            0.0992360115,
            0.0999655575,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100603193,
            0.101332746,
            0.102062292,
            0.102791846,
            0.103521392,
            0.104250945,
            0.104980491,
            0.105710045,
            0.10643959,
            0.107169144,
            0.10789869,
            0.108628243,
            0.109357789,
            0.110087343,
            0.110816889,
            0.111546442,
            0.112275988,
            0.113005541,
            0.113735087,
            0.114464641,
            0.115194187,
            0.115923733,
            0.116653286,
            0.117382832,
            0.118112385,
            0.118841931,
            0.119571485,
            0.120301031,
            0.121030584,
            0.12176013,
            0.122489683,
            0.123219229,
            0.124507912,
            0.126210198,
            0.127912477,
            0.129614756,
            0.131317034,
            0.133019328,
            0.134721607,
            0.136423886,
            0.138126165,
            0.139828458,
            0.141530737,
            0.143233016,
            0.144935295,
            0.146637589,
            0.148339868,
            0.150042146,
            0.151635289,
            0.153094381,
            0.154553488,
            0.15601258,
            0.157471687,
            0.158930779,
            0.160389885,
            0.161848977,
            0.163308084,
            0.164767176,
            0.166226283,
            0.167685375,
            0.169144481,
            0.170603573,
            0.172062665,
            0.173521772,
            0.175059378,
            0.176761672,
            0.178463951,
            0.180166245,
            0.181868523,
            0.183570817,
            0.185273096,
            0.18697539,
            0.188677669,
            0.190379947,
            0.192082241,
            0.193784535,
            0.195486814,
            0.197189093,
            0.198891386,
            0.200593665,
            0.202248082,
            0.203707173,
            0.20516628,
            0.206625372,
            0.208084464,
            0.209543556,
            0.211002663,
            0.212461755,
            0.213920847,
            0.215379938,
            0.216839045,
            0.218298137,
            0.219757229,
            0.221216321,
            0.222675428,
            0.22413452,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.22489278,
            0.224163234,
            0.223433688,
            0.222704142,
            0.221974581,
            0.221245036,
            0.22051549,
            0.219785944,
            0.219056383,
            0.218326837,
            0.217597291,
            0.216867745,
            0.216138184,
            0.215408638,
            0.214679092,
            0.213949546,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.214139104,
            0.214868665,
            0.215598211,
            0.216327757,
            0.217057303,
            0.217786863,
            0.218516409,
            0.219245955,
            0.219975501,
            0.220705062,
            0.221434608,
            0.222164154,
            0.2228937,
            0.223623261,
            0.224352807,
            0.225082353,
            0.225811899,
            0.22654146,
            0.227271006,
            0.228000551,
            0.228730097,
            0.229459658,
            0.230189204,
            0.23091875,
            0.231648296,
            0.232377857,
            0.233107403,
            0.233836949,
            0.234566495,
            0.235296041,
            0.236025602,
            0.236755148,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237117052,
            0.236387506,
            0.235657945,
            0.234928399,
            0.234198853,
            0.233469307,
            0.232739747,
            0.232010201,
            0.231280655,
            0.230551109,
            0.229821548,
            0.229092002,
            0.228362456,
            0.22763291,
            0.226903349,
            0.226173803,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.226173803,
            0.226903349,
            0.22763291,
            0.228362456,
            0.229092002,
            0.229821548,
            0.230551109,
            0.231280655,
            0.232010201,
            0.232739747,
            0.233469307,
            0.234198853,
            0.234928399,
            0.235657945,
            0.236387506,
            0.237117052,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.236755148,
            0.236025602,
            0.235296041,
            0.234566495,
            0.233836949,
            0.233107403,
            0.232377857,
            0.231648296,
            0.23091875,
            0.230189204,
            0.229459658,
            0.228730097,
            0.228000551,
            0.227271006,
            0.22654146,
            0.225811899,
            0.225082353,
            0.224352807,
            0.223623261,
            0.2228937,
            0.222164154,
            0.221434608,
            0.220705062,
            0.219975501,
            0.219245955,
            0.218516409,
            0.217786863,
            0.217057303,
            0.216327757,
            0.215598211,
            0.214868665,
            0.214139104,
            0.213409558,
            0.212680012,
            0.211950466,
            0.21122092,
            0.210491374,
            0.209761828,
            0.209032282,
            0.208302736,
            0.20757319,
            0.206843644,
            0.206114098,
            0.205384552,
            0.204655007,
            0.203925461,
            0.203195915,
            0.202466369,
            0.201438114,
            0.19973582,
            0.198033541,
            0.196331248,
            0.194628969,
            0.192926675,
            0.191224396,
            0.189522117,
            0.187819824,
            0.18611753,
            0.184415251,
            0.182712972,
            0.181010678,
            0.1793084,
            0.177606106,
            0.175903827,
            0.174377695,
            0.173648149,
            0.172918603,
            0.172189057,
            0.171459511,
            0.170729965,
            0.170000419,
            0.169270873,
            0.168541327,
            0.167811781,
            0.167082235,
            0.166352689,
            0.165623143,
            0.164893597,
            0.164164051,
            0.163434505,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162159234,
            0.161429688,
            0.160700127,
            0.159970582,
            0.159241021,
            0.158511475,
            0.157781914,
            0.157052368,
            0.156322807,
            0.155593261,
            0.1548637,
            0.154134154,
            0.153404593,
            0.152675048,
            0.151945487,
            0.151215941,
            0.15048638,
            0.149756834,
            0.149027288,
            0.148297742,
            0.147568196,
            0.146838635,
            0.146109089,
            0.145379543,
            0.144649997,
            0.143920437,
            0.143190891,
            0.142461345,
            0.141731799,
            0.141002238,
            0.140272692,
            0.139543146,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139525905,
            0.140255466,
            0.140985012,
            0.141714558,
            0.142444104,
            0.143173665,
            0.143903211,
            0.144632757,
            0.145362303,
            0.146091849,
            0.146821409,
            0.147550955,
            0.148280501,
            0.149010062,
            0.149739608,
            0.150469154,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151652515,
            0.152382076,
            0.153111622,
            0.153841183,
            0.154570729,
            0.155300289,
            0.156029835,
            0.156759396,
            0.157488942,
            0.158218503,
            0.158948049,
            0.15967761,
            0.160407156,
            0.161136717,
            0.161866263,
            0.162595823,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163141549,
            0.163871095,
            0.164600641,
            0.165330186,
            0.166059732,
            0.166789278,
            0.167518824,
            0.16824837,
            0.168977916,
            0.169707462,
            0.170437008,
            0.171166554,
            0.1718961,
            0.172625646,
            0.173355192,
            0.174084738,
            0.174814284,
            0.17554383,
            0.176273376,
            0.177002937,
            0.177732483,
            0.178462029,
            0.179191574,
            0.179921135,
            0.180650681,
            0.181380227,
            0.182109773,
            0.182839334,
            0.18356888,
            0.184298426,
            0.185027972,
            0.185757518,
            0.186557919,
            0.187530667,
            0.188503399,
            0.189476132,
            0.190448865,
            0.191421613,
            0.192394346,
            0.193367079,
            0.194339812,
            0.19531256,
            0.196285293,
            0.197258025,
            0.198230758,
            0.199203491,
            0.200176239,
            0.201148972,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201317474,
            0.200344741,
            0.199372008,
            0.198399261,
            0.197426528,
            0.196453795,
            0.195481062,
            0.194508314,
            0.193535581,
            0.192562848,
            0.191590115,
            0.190617383,
            0.189644635,
            0.188671902,
            0.187699169,
            0.186726436,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.18597582,
            0.185246259,
            0.184516713,
            0.183787167,
            0.183057621,
            0.18232806,
            0.181598514,
            0.180868968,
            0.180139422,
            0.179409862,
            0.178680316,
            0.17795077,
            0.177221224,
            0.176491678,
            0.175762117,
            0.175032571,
            0.174096227,
            0.17263712,
            0.171178028,
            0.169718921,
            0.168259829,
            0.166800722,
            0.165341631,
            0.163882524,
            0.162423432,
            0.160964325,
            0.159505233,
            0.158046126,
            0.156587034,
            0.155127928,
            0.153668836,
            0.152209729,
            0.150865525,
            0.150135979,
            0.149406418,
            0.148676872,
            0.147947326,
            0.14721778,
            0.146488219,
            0.145758674,
            0.145029128,
            0.144299582,
            0.143570021,
            0.142840475,
            0.142110929,
            0.141381383,
            0.140651822,
            0.139922276,
            0.139185071,
            0.138212338,
            0.137239605,
            0.136266872,
            0.135294139,
            0.134321406,
            0.133348674,
            0.132375941,
            0.131403208,
            0.130430475,
            0.129457742,
            0.128485009,
            0.127512276,
            0.126539543,
            0.12556681,
            0.124594077,
            0.123621345,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.122960731,
            0.122231178,
            0.121501632,
            0.120772079,
            0.120042533,
            0.119312979,
            0.118583433,
            0.11785388,
            0.117124334,
            0.116394781,
            0.115665235,
            0.114935681,
            0.114206135,
            0.113476589,
            0.112747036,
            0.112017483,
            0.111287937,
            0.110558391,
            0.109828837,
            0.109099291,
            0.108369738,
            0.107640192,
            0.106910639,
            0.106181093,
            0.105451539,
            0.104721993,
            0.10399244,
            0.103262894,
            0.10253334,
            0.101803795,
            0.101074241,
            0.100344695,
            0.0992302597,
            0.0977711603,
            0.096312061,
            0.0948529691,
            0.0933938622,
            0.0919347703,
            0.090475671,
            0.0890165716,
            0.0875574723,
            0.0860983729,
            0.0846392736,
            0.0831801742,
            0.0817210749,
            0.0802619755,
            0.0788028762,
            0.0773437768,
            0.076079987,
            0.0751072541,
            0.0741345212,
            0.0731617883,
            0.0721890554,
            0.0712163225,
            0.0702435896,
            0.0692708567,
            0.0682981238,
            0.0673253909,
            0.066352658,
            0.0653799251,
            0.0644071922,
            0.0634344593,
            0.0624617301,
            0.0614889972,
            0.0605832823,
            0.0598537326,
            0.0591241829,
            0.0583946332,
            0.0576650836,
            0.0569355339,
            0.0562059842,
            0.0554764345,
            0.0547468849,
            0.0540173352,
            0.0532877855,
            0.0525582358,
            0.0518286899,
            0.0510991365,
            0.0503695905,
            0.0496400371,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0489851683,
            0.047526069,
            0.0460669696,
            0.0446078703,
            0.0431487709,
            0.0416896716,
            0.0402305722,
            0.0387714729,
            0.0373123735,
            0.0358532742,
            0.0343941748,
            0.0329350755,
            0.0314759761,
            0.0300168786,
            0.0285577793,
            0.0270986799,
            0.0256395806,
            0.0248353537,
            0.024105804,
            0.0233762544,
            0.0226467047,
            0.021917155,
            0.0211876053,
            0.0204580557,
            0.019728506,
            0.0189989563,
            0.0182694066,
            0.017539857,
            0.0168103073,
            0.0160807576,
            0.0153512089,
            0.0146216592,
            0.0138921095,
            0.0131625598,
            0.0124330102,
            0.0117034605,
            0.0109739108,
            0.0102443611,
            0.00951481238,
            0.0087852627,
            0.00805571303,
            0.00732616289,
            0.00659661321,
            0.005867064,
            0.00513751432,
            0.00440796465,
            0.00367841497,
            0.00294886529,
            0.00221931562,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.0022480383,
            0.00297758775,
            0.00370713742,
            0.0044366871,
            0.00516623631,
            0.00589578599,
            0.00662533566,
            0.00735488534,
            0.00808443502,
            0.00881398469,
            0.00954353437,
            0.010273084,
            0.0110026337,
            0.0117321825,
            0.0124617321,
            0.0131912818,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.013076392,
            0.0123468433,
            0.0116172936,
            0.0108877439,
            0.0101581942,
            0.00942864455,
            0.00869909488,
            0.0079695452,
            0.00723999552,
            0.00651044585,
            0.00578089617,
            0.0050513465,
            0.00432179775,
            0.00359224807,
            0.0028626984,
            0.00213314872,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00134040962,
            0.000367676839,
            -0.000605056062,
            -0.00157778873,
            -0.0025505214,
            -0.0035232543,
            -0.0044959872,
            -0.00546871964,
            -0.00644145254,
            -0.00741418544,
            -0.00838691834,
            -0.00935965125,
            -0.0103323841,
            -0.0113051161,
            -0.012277849,
            -0.0132505819,
            -0.0144722424,
            -0.0159313418,
            -0.0173904411,
            -0.0188495405,
            -0.0203086399,
            -0.0217677392,
            -0.0232268386,
            -0.0246859379,
            -0.0261450373,
            -0.0276041348,
            -0.0290632341,
            -0.0305223335,
            -0.0319814309,
            -0.0334405303,
            -0.0348996297,
            -0.036358729,
            -0.0375363491,
            -0.0382658988,
            -0.0389954485,
            -0.0397249982,
            -0.0404545479,
            -0.0411840975,
            -0.0419136472,
            -0.0426431969,
            -0.0433727466,
            -0.0441022962,
            -0.0448318459,
            -0.0455613956,
            -0.0462909453,
            -0.0470204949,
            -0.0477500446,
            -0.0484795943,
            -0.049209144,
            -0.0499386936,
            -0.0506682433,
            -0.051397793,
            -0.0521273427,
            -0.0528568923,
            -0.053586442,
            -0.0543159917,
            -0.0550455414,
            -0.0557750911,
            -0.056504637,
            -0.0572341904,
            -0.0579637364,
            -0.0586932898,
            -0.0594228357,
            -0.0601523891,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607919395,
            -0.0617646724,
            -0.0627374053,
            -0.0637101382,
            -0.0646828711,
            -0.065655604,
            -0.0666283369,
            -0.0676010698,
            -0.0685738027,
            -0.0695465356,
            -0.0705192685,
            -0.0714920014,
            -0.0724647343,
            -0.0734374672,
            -0.0744102001,
            -0.075382933,
            -0.0763556659,
            -0.0777573213,
            -0.0792164207,
            -0.08067552,
            -0.0821346194,
            -0.0835937113,
            -0.0850528181,
            -0.08651191,
            -0.0879710168,
            -0.0894301087,
            -0.090889208,
            -0.0923483074,
            -0.0938074067,
            -0.0952665061,
            -0.0967256054,
            -0.0981847048,
            -0.0996438041,
            -0.101102903,
            -0.102562003,
            -0.104021102,
            -0.105480202,
            -0.106939301,
            -0.1083984,
            -0.1098575,
            -0.111316599,
            -0.112775698,
            -0.114234798,
            -0.115693897,
            -0.117152996,
            -0.118612096,
            -0.120071195,
            -0.121530294,
            -0.122989394,
            -0.124601677,
            -0.126303971,
            -0.12800625,
            -0.129708529,
            -0.131410822,
            -0.133113101,
            -0.13481538,
            -0.136517674,
            -0.138219953,
            -0.139922231,
            -0.141624525,
            -0.143326804,
            -0.145029098,
            -0.146731377,
            -0.148433656,
            -0.150135949,
            -0.151348025,
            -0.152077585,
            -0.152807131,
            -0.153536677,
            -0.154266223,
            -0.154995784,
            -0.15572533,
            -0.156454876,
            -0.157184422,
            -0.157913983,
            -0.158643529,
            -0.159373075,
            -0.160102621,
            -0.160832182,
            -0.161561728,
            -0.162291273,
            -0.163020819,
            -0.16375038,
            -0.164479926,
            -0.165209472,
            -0.165939018,
            -0.166668564,
            -0.167398125,
            -0.168127671,
            -0.168857217,
            -0.169586763,
            -0.170316324,
            -0.17104587,
            -0.171775416,
            -0.172504961,
            -0.173234522,
            -0.173964068,
            -0.174693614,
            -0.17542316,
            -0.176152721,
            -0.176882267,
            -0.177611813,
            -0.178341359,
            -0.17907092,
            -0.179800466,
            -0.180530012,
            -0.181259558,
            -0.181989118,
            -0.182718664,
            -0.18344821,
            -0.184177756,
            -0.184907317,
            -0.185636863,
            -0.186366409,
            -0.187095955,
            -0.187825516,
            -0.188555062,
            -0.189284608,
            -0.190014154,
            -0.190743715,
            -0.191473261,
            -0.192202806,
            -0.192932352,
            -0.193661913,
            -0.194391459,
            -0.195121005,
            -0.195850551,
            -0.196580112,
            -0.197309658
          ],
          [
            -0.198039204,
            -0.199011937,
            -0.19998467,
            -0.200957403,
            -0.201930135,
            -0.202902868,
            -0.203875601,
            -0.204848334,
            -0.205821067,
            -0.2067938,
            -0.207766533,
            -0.208739266,
            -0.209711999,
            -0.210684732,
            -0.211657465,
            -0.212630197,
            -0.21360293,
            -0.214363113,
            -0.215092659,
            -0.21582222,
            -0.216551766,
            -0.217281312,
            -0.218010858,
            -0.218740419,
            -0.219469965,
            -0.22019951,
            -0.220929056,
            -0.221658617,
            -0.222388163,
            -0.223117709,
            -0.223847255,
            -0.224576816,
            -0.225306362,
            -0.226581633,
            -0.22804074,
            -0.229499832,
            -0.230958939,
            -0.232418031,
            -0.233877137,
            -0.235336229,
            -0.236795336,
            -0.238254428,
            -0.23971352,
            -0.241172627,
            -0.242631733,
            -0.244090825,
            -0.245549917,
            -0.247009024,
            -0.248468131,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249289587,
            -0.250019133,
            -0.250748694,
            -0.251478225,
            -0.252207786,
            -0.252937347,
            -0.253666908,
            -0.254396439,
            -0.255125999,
            -0.25585556,
            -0.256585091,
            -0.257314652,
            -0.258044213,
            -0.258773744,
            -0.259503305,
            -0.260232866,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260899216,
            -0.261871934,
            -0.262844682,
            -0.2638174,
            -0.264790148,
            -0.265762866,
            -0.266735613,
            -0.267708331,
            -0.268681079,
            -0.269653797,
            -0.270626515,
            -0.271599263,
            -0.272571981,
            -0.273544729,
            -0.274517447,
            -0.275490195,
            -0.276462913,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.27710247,
            -0.277832001,
            -0.278561562,
            -0.279291123,
            -0.280020654,
            -0.280750215,
            -0.281479776,
            -0.282209307,
            -0.282938868,
            -0.283668399,
            -0.28439796,
            -0.285127521,
            -0.285857052,
            -0.286586612,
            -0.287316173,
            -0.288045704,
            -0.287695289,
            -0.286965758,
            -0.286236197,
            -0.285506636,
            -0.284777105,
            -0.284047544,
            -0.283317983,
            -0.282588452,
            -0.281858891,
            -0.28112936,
            -0.280399799,
            -0.279670238,
            -0.278940707,
            -0.278211147,
            -0.277481616,
            -0.276752055,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276240796,
            -0.275268048,
            -0.27429533,
            -0.273322612,
            -0.272349864,
            -0.271377146,
            -0.270404398,
            -0.26943168,
            -0.268458933,
            -0.267486215,
            -0.266513497,
            -0.265540749,
            -0.264568031,
            -0.263595283,
            -0.262622565,
            -0.261649817,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260066271,
            -0.25933671,
            -0.258607149,
            -0.257877618,
            -0.257148057,
            -0.256418496,
            -0.255688965,
            -0.254959404,
            -0.254229844,
            -0.253500313,
            -0.252770752,
            -0.252041191,
            -0.25131166,
            -0.250582099,
            -0.249852538,
            -0.249122992,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.24795112,
            -0.246492013,
            -0.245032921,
            -0.243573815,
            -0.242114723,
            -0.240655631,
            -0.239196524,
            -0.237737417,
            -0.236278325,
            -0.234819233,
            -0.233360127,
            -0.23190102,
            -0.230441928,
            -0.228982836,
            -0.227523729,
            -0.226064637,
            -0.225047857,
            -0.224318311,
            -0.223588765,
            -0.222859204,
            -0.222129658,
            -0.221400112,
            -0.220670566,
            -0.219941005,
            -0.219211459,
            -0.218481913,
            -0.217752367,
            -0.217022806,
            -0.21629326,
            -0.215563715,
            -0.214834169,
            -0.214104608,
            -0.212557435,
            -0.210125595,
            -0.207693771,
            -0.205261931,
            -0.202830106,
            -0.200398266,
            -0.197966442,
            -0.195534617,
            -0.193102777,
            -0.190670937,
            -0.188239112,
            -0.185807288,
            -0.183375448,
            -0.180943608,
            -0.178511783,
            -0.176079959,
            -0.173992783,
            -0.172533691,
            -0.171074599,
            -0.169615492,
            -0.1681564,
            -0.166697294,
            -0.165238202,
            -0.163779095,
            -0.162320003,
            -0.160860896,
            -0.159401804,
            -0.157942697,
            -0.156483606,
            -0.155024499,
            -0.153565407,
            -0.1521063,
            -0.150425076,
            -0.147993252,
            -0.145561412,
            -0.143129572,
            -0.140697733,
            -0.138265908,
            -0.135834068,
            -0.133402228,
            -0.130970389,
            -0.128538564,
            -0.126106724,
            -0.123674892,
            -0.121243052,
            -0.11881122,
            -0.11637938,
            -0.113947548,
            -0.111615285,
            -0.110156186,
            -0.108697087,
            -0.107237995,
            -0.105778895,
            -0.104319796,
            -0.102860697,
            -0.101401605,
            -0.0999425054,
            -0.098483406,
            -0.0970243067,
            -0.0955652148,
            -0.0941061154,
            -0.092647016,
            -0.0911879241,
            -0.0897288248,
            -0.0882697254,
            -0.0858608708,
            -0.0834290385,
            -0.0809972063,
            -0.078565374,
            -0.0761335418,
            -0.0737017095,
            -0.0712698847,
            -0.068838045,
            -0.0664062202,
            -0.0639743805,
            -0.061542552,
            -0.0591107197,
            -0.0566788875,
            -0.0542470552,
            -0.0518152229,
            -0.0493833907,
            -0.0471583605,
            -0.0449697152,
            -0.0427810624,
            -0.0405924171,
            -0.0384037681,
            -0.0362151191,
            -0.03402647,
            -0.031837821,
            -0.029649172,
            -0.0274605229,
            -0.0252718739,
            -0.0230832249,
            -0.0208945759,
            -0.0187059287,
            -0.0165172778,
            -0.0143286288,
            -0.0124923103,
            -0.0107900277,
            -0.0090877451,
            -0.00738546299,
            -0.00568318088,
            -0.0039808983,
            -0.00227861572,
            -0.000576333143,
            0.0011259485,
            0.00282823108,
            0.00453051366,
            0.00623279624,
            0.00793507881,
            0.00963736139,
            0.011339644,
            0.0130419247,
            0.0145986807,
            0.01605778,
            0.0175168794,
            0.0189759787,
            0.0204350781,
            0.0218941756,
            0.0233532749,
            0.0248123743,
            0.0262714736,
            0.027730573,
            0.0291896723,
            0.0306487717,
            0.032107871,
            0.0335669704,
            0.0350260697,
            0.0364851691,
            0.0384038277,
            0.04083566,
            0.0432674885,
            0.0456993207,
            0.048131153,
            0.0505629852,
            0.0529948175,
            0.0554266497,
            0.057858482,
            0.0602903143,
            0.0627221465,
            0.0651539788,
            0.067585811,
            0.0700176433,
            0.0724494755,
            0.0748813078,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0766314566,
            0.07736101,
            0.078090556,
            0.0788201094,
            0.0795496553,
            0.0802792087,
            0.0810087547,
            0.0817383081,
            0.082467854,
            0.0831974074,
            0.0839269534,
            0.0846565068,
            0.0853860527,
            0.0861156061,
            0.0868451521,
            0.0875747055,
            0.0883042514,
            0.0890338048,
            0.0897633508,
            0.0904929042,
            0.0912224501,
            0.0919520035,
            0.0926815495,
            0.0934111029,
            0.0941406488,
            0.0948702022,
            0.0955997482,
            0.0963293016,
            0.0970588475,
            0.0977883935,
            0.0985179469,
            0.0992475003,
            0.0999770463,
            0.101413168,
            0.102872267,
            0.104331367,
            0.105790466,
            0.107249565,
            0.108708665,
            0.110167764,
            0.111626863,
            0.113085963,
            0.114545062,
            0.116004162,
            0.117463261,
            0.118922353,
            0.12038146,
            0.121840551,
            0.123299658,
            0.122914776,
            0.122185223,
            0.121455677,
            0.120726123,
            0.119996578,
            0.119267024,
            0.118537478,
            0.117807925,
            0.117078379,
            0.116348825,
            0.115619279,
            0.114889726,
            0.11416018,
            0.113430627,
            0.112701081,
            0.111971527,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111333892,
            0.110604346,
            0.109874792,
            0.109145246,
            0.108415693,
            0.107686147,
            0.106956594,
            0.106227048,
            0.105497494,
            0.104767948,
            0.104038395,
            0.103308849,
            0.102579296,
            0.10184975,
            0.101120196,
            0.10039065,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0995059982,
            0.0980468988,
            0.0965877995,
            0.0951287001,
            0.0936696008,
            0.0922105014,
            0.0907514021,
            0.0892923027,
            0.0878332034,
            0.086374104,
            0.0849150047,
            0.0834559053,
            0.081996806,
            0.0805377066,
            0.0790786073,
            0.0776195079,
            0.0762638152,
            0.0752910823,
            0.0743183494,
            0.0733456165,
            0.0723728836,
            0.0714001507,
            0.0704274178,
            0.0694546849,
            0.068481952,
            0.0675092191,
            0.0665364861,
            0.0655637532,
            0.0645910203,
            0.0636182874,
            0.0626455545,
            0.0616728216,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0600835122,
            0.0593539625,
            0.0586244129,
            0.0578948632,
            0.0571653135,
            0.0564357638,
            0.0557062142,
            0.0549766645,
            0.0542471148,
            0.0535175651,
            0.0527880192,
            0.0520584658,
            0.0513289198,
            0.0505993664,
            0.0498698205,
            0.0491402671,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0485026315,
            0.0477730818,
            0.0470435321,
            0.0463139825,
            0.0455844328,
            0.0448548831,
            0.0441253334,
            0.0433957838,
            0.0426662341,
            0.0419366844,
            0.0412071347,
            0.040477585,
            0.0397480354,
            0.0390184857,
            0.038288936,
            0.0375593863,
            0.0376800224,
            0.0384095721,
            0.0391391218,
            0.0398686714,
            0.0405982211,
            0.0413277708,
            0.0420573205,
            0.0427868702,
            0.0435164198,
            0.0442459658,
            0.0449755192,
            0.0457050651,
            0.0464346185,
            0.0471641645,
            0.0478937179,
            0.0486232638,
            0.0493528135,
            0.0500823632,
            0.0508119129,
            0.0515414625,
            0.0522710122,
            0.0530005619,
            0.0537301116,
            0.0544596612,
            0.0551892109,
            0.0559187606,
            0.0566483103,
            0.05737786,
            0.0581074096,
            0.0588369593,
            0.059566509,
            0.0602960587,
            0.0611060299,
            0.0620787628,
            0.0630514994,
            0.0640242323,
            0.0649969652,
            0.0659696981,
            0.066942431,
            0.0679151639,
            0.0688878894,
            0.0698606223,
            0.0708333552,
            0.0718060881,
            0.072778821,
            0.0737515539,
            0.0747242868,
            0.0756970197,
            0.0766199678,
            0.0773495212,
            0.0780790672,
            0.0788086206,
            0.0795381665,
            0.0802677199,
            0.0809972659,
            0.0817268193,
            0.0824563652,
            0.0831859186,
            0.0839154646,
            0.084645018,
            0.0853745639,
            0.0861041173,
            0.0868336633,
            0.0875632167,
            0.0882927626,
            0.089022316,
            0.089751862,
            0.0904814154,
            0.0912109613,
            0.0919405147,
            0.0926700607,
            0.0933996141,
            0.09412916,
            0.094858706,
            0.0955882594,
            0.0963178128,
            0.0970473588,
            0.0977769047,
            0.0985064581,
            0.0992360115,
            0.0999655575,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100603193,
            0.101332746,
            0.102062292,
            0.102791846,
            0.103521392,
            0.104250945,
            0.104980491,
            0.105710045,
            0.10643959,
            0.107169144,
            0.10789869,
            0.108628243,
            0.109357789,
            0.110087343,
            0.110816889,
            0.111546442,
            0.112957664,
            0.11465995,
            0.116362229,
            0.118064515,
            0.119766794,
            0.12146908,
            0.123171359,
            0.124873646,
            0.126575932,
            0.128278211,
            0.12998049,
            0.131682768,
            0.133385062,
            0.135087341,
            0.13678962,
            0.138491899,
            0.139635056,
            0.140364602,
            0.141094148,
            0.141823709,
            0.142553255,
            0.143282801,
            0.144012347,
            0.144741908,
            0.145471454,
            0.146201,
            0.146930546,
            0.147660106,
            0.148389652,
            0.149119198,
            0.149848744,
            0.150578305,
            0.151962727,
            0.154151365,
            0.156340018,
            0.158528671,
            0.160717309,
            0.162905961,
            0.165094614,
            0.167283267,
            0.169471905,
            0.171660557,
            0.17384921,
            0.176037848,
            0.178226501,
            0.180415154,
            0.182603806,
            0.184792459,
            0.186824083,
            0.188526362,
            0.190228656,
            0.191930935,
            0.193633214,
            0.195335492,
            0.197037786,
            0.198740065,
            0.200442344,
            0.202144623,
            0.203846902,
            0.205549195,
            0.207251474,
            0.208953753,
            0.210656032,
            0.212358326,
            0.213869125,
            0.214598671,
            0.215328217,
            0.216057763,
            0.216787323,
            0.217516869,
            0.218246415,
            0.218975961,
            0.219705522,
            0.220435068,
            0.221164614,
            0.22189416,
            0.222623721,
            0.223353267,
            0.224082813,
            0.224812359,
            0.225541919,
            0.226271465,
            0.227001011,
            0.227730557,
            0.228460118,
            0.229189664,
            0.22991921,
            0.230648756,
            0.231378317,
            0.232107863,
            0.232837409,
            0.233566955,
            0.234296501,
            0.235026062,
            0.235755607,
            0.236485153,
            0.237214699,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.236657485,
            0.235927939,
            0.235198393,
            0.234468848,
            0.233739287,
            0.233009741,
            0.232280195,
            0.231550649,
            0.230821088,
            0.230091542,
            0.229361996,
            0.22863245,
            0.227902889,
            0.227173343,
            0.226443797,
            0.225714251,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225903809,
            0.22663337,
            0.227362916,
            0.228092462,
            0.228822008,
            0.229551569,
            0.230281115,
            0.231010661,
            0.231740206,
            0.232469767,
            0.233199313,
            0.233928859,
            0.234658405,
            0.235387966,
            0.236117512,
            0.236847058,
            0.237576604,
            0.238306165,
            0.239035711,
            0.239765257,
            0.240494803,
            0.241224363,
            0.241953909,
            0.242683455,
            0.243413001,
            0.244142562,
            0.244872108,
            0.245601654,
            0.2463312,
            0.247060746,
            0.247790307,
            0.248519853,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249065578,
            0.249795139,
            0.2505247,
            0.251254231,
            0.251983792,
            0.252713352,
            0.253442883,
            0.254172444,
            0.254902005,
            0.255631566,
            0.256361127,
            0.257090658,
            0.257820219,
            0.25854978,
            0.259279311,
            0.260008872,
            0.260738432,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260284603,
            0.259555072,
            0.258825511,
            0.25809595,
            0.257366389,
            0.256636858,
            0.255907297,
            0.255177736,
            0.254448175,
            0.253718644,
            0.252989084,
            0.252259523,
            0.251529962,
            0.250800431,
            0.25007087,
            0.249341309,
            0.248611763,
            0.247882217,
            0.247152671,
            0.24642311,
            0.245693564,
            0.244964018,
            0.244234473,
            0.243504912,
            0.242775366,
            0.24204582,
            0.241316274,
            0.240586713,
            0.239857167,
            0.239127621,
            0.238398075,
            0.237668514,
            0.236938968,
            0.236209422,
            0.235479876,
            0.234750316,
            0.23402077,
            0.233291224,
            0.232561678,
            0.231832117,
            0.231102571,
            0.230373025,
            0.229643479,
            0.228913933,
            0.228184372,
            0.227454826,
            0.22672528,
            0.225995719,
            0.225266173,
            0.224536628,
            0.223807082,
            0.223077536,
            0.222347975,
            0.221618429,
            0.220888883,
            0.220159337,
            0.219429776,
            0.21870023,
            0.217970684,
            0.217241138,
            0.216511577,
            0.215782031,
            0.215052485,
            0.21432294,
            0.213417217,
            0.211714938,
            0.210012659,
            0.208310366,
            0.206608087,
            0.204905808,
            0.203203529,
            0.20150125,
            0.199798957,
            0.198096678,
            0.196394399,
            0.19469212,
            0.192989826,
            0.191287547,
            0.189585268,
            0.18788299,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185596675,
            0.184867129,
            0.184137583,
            0.183408037,
            0.182678476,
            0.18194893,
            0.181219384,
            0.180489838,
            0.179760277,
            0.179030731,
            0.178301185,
            0.177571639,
            0.176842079,
            0.176112533,
            0.175382987,
            0.174653441,
            0.173337951,
            0.171878844,
            0.170419753,
            0.168960646,
            0.167501554,
            0.166042447,
            0.164583355,
            0.163124248,
            0.161665156,
            0.16020605,
            0.158746958,
            0.157287851,
            0.155828759,
            0.154369652,
            0.15291056,
            0.151451468,
            0.15048638,
            0.149756834,
            0.149027288,
            0.148297742,
            0.147568196,
            0.146838635,
            0.146109089,
            0.145379543,
            0.144649997,
            0.143920437,
            0.143190891,
            0.142461345,
            0.141731799,
            0.141002238,
            0.140272692,
            0.139543146,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139525905,
            0.140255466,
            0.140985012,
            0.141714558,
            0.142444104,
            0.143173665,
            0.143903211,
            0.144632757,
            0.145362303,
            0.146091849,
            0.146821409,
            0.147550955,
            0.148280501,
            0.149010062,
            0.149739608,
            0.150469154,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151652515,
            0.152382076,
            0.153111622,
            0.153841183,
            0.154570729,
            0.155300289,
            0.156029835,
            0.156759396,
            0.157488942,
            0.158218503,
            0.158948049,
            0.15967761,
            0.160407156,
            0.161136717,
            0.161866263,
            0.162595823,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163141549,
            0.163871095,
            0.164600641,
            0.165330186,
            0.166059732,
            0.166789278,
            0.167518824,
            0.16824837,
            0.168977916,
            0.169707462,
            0.170437008,
            0.171166554,
            0.1718961,
            0.172625646,
            0.173355192,
            0.174084738,
            0.175220221,
            0.176922515,
            0.178624794,
            0.180327088,
            0.182029366,
            0.18373166,
            0.185433939,
            0.187136233,
            0.188838512,
            0.190540805,
            0.192243084,
            0.193945378,
            0.195647657,
            0.197349951,
            0.19905223,
            0.200754523,
            0.202173412,
            0.202902958,
            0.203632504,
            0.20436205,
            0.205091596,
            0.205821142,
            0.206550688,
            0.207280234,
            0.208009779,
            0.208739325,
            0.209468871,
            0.210198417,
            0.210927963,
            0.211657509,
            0.212387055,
            0.213116601,
            0.213846147,
            0.214575693,
            0.215305239,
            0.216034785,
            0.216764346,
            0.217493892,
            0.218223438,
            0.218952984,
            0.219682544,
            0.22041209,
            0.221141636,
            0.221871182,
            0.222600743,
            0.223330289,
            0.224059835,
            0.224789381,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.224823847,
            0.224094301,
            0.223364756,
            0.22263521,
            0.221905649,
            0.221176103,
            0.220446557,
            0.219717011,
            0.21898745,
            0.218257904,
            0.217528358,
            0.216798812,
            0.216069251,
            0.215339705,
            0.214610159,
            0.213880613,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.21259959,
            0.210897312,
            0.209195018,
            0.207492739,
            0.20579046,
            0.204088181,
            0.202385888,
            0.200683609,
            0.19898133,
            0.197279051,
            0.195576757,
            0.193874478,
            0.192172199,
            0.190469921,
            0.188767642,
            0.187065348,
            0.185883909,
            0.185154349,
            0.184424803,
            0.183695257,
            0.182965711,
            0.18223615,
            0.181506604,
            0.180777058,
            0.180047512,
            0.179317951,
            0.178588405,
            0.177858859,
            0.177129313,
            0.176399752,
            0.175670207,
            0.174940661,
            0.174211115,
            0.173481569,
            0.172752023,
            0.172022477,
            0.171292931,
            0.170563385,
            0.169833839,
            0.169104293,
            0.168374747,
            0.167645201,
            0.166915655,
            0.166186109,
            0.165456563,
            0.164727017,
            0.163997471,
            0.163267925,
            0.162538379,
            0.161808819,
            0.161079273,
            0.160349712,
            0.159620166,
            0.158890605,
            0.158161059,
            0.157431498,
            0.156701952,
            0.155972391,
            0.155242845,
            0.154513285,
            0.153783739,
            0.153054178,
            0.152324632,
            0.151595071,
            0.150865525,
            0.150135979,
            0.149406418,
            0.148676872,
            0.147947326,
            0.14721778,
            0.146488219,
            0.145758674,
            0.145029128,
            0.144299582,
            0.143570021,
            0.142840475,
            0.142110929,
            0.141381383,
            0.140651822,
            0.139922276,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.13788873,
            0.136186451,
            0.134484172,
            0.132781878,
            0.131079599,
            0.12937732,
            0.127675042,
            0.125972748,
            0.124270469,
            0.12256819,
            0.120865911,
            0.119163625,
            0.117461339,
            0.11575906,
            0.114056781,
            0.112354495,
            0.111287937,
            0.110558391,
            0.109828837,
            0.109099291,
            0.108369738,
            0.107640192,
            0.106910639,
            0.106181093,
            0.105451539,
            0.104721993,
            0.10399244,
            0.103262894,
            0.10253334,
            0.101803795,
            0.101074241,
            0.100344695,
            0.0992302597,
            0.0977711603,
            0.096312061,
            0.0948529691,
            0.0933938622,
            0.0919347703,
            0.090475671,
            0.0890165716,
            0.0875574723,
            0.0860983729,
            0.0846392736,
            0.0831801742,
            0.0817210749,
            0.0802619755,
            0.0788028762,
            0.0773437768,
            0.076079987,
            0.0751072541,
            0.0741345212,
            0.0731617883,
            0.0721890554,
            0.0712163225,
            0.0702435896,
            0.0692708567,
            0.0682981238,
            0.0673253909,
            0.066352658,
            0.0653799251,
            0.0644071922,
            0.0634344593,
            0.0624617301,
            0.0614889972,
            0.0605832823,
            0.0598537326,
            0.0591241829,
            0.0583946332,
            0.0576650836,
            0.0569355339,
            0.0562059842,
            0.0554764345,
            0.0547468849,
            0.0540173352,
            0.0532877855,
            0.0525582358,
            0.0518286899,
            0.0510991365,
            0.0503695905,
            0.0496400371,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0489851683,
            0.047526069,
            0.0460669696,
            0.0446078703,
            0.0431487709,
            0.0416896716,
            0.0402305722,
            0.0387714729,
            0.0373123735,
            0.0358532742,
            0.0343941748,
            0.0329350755,
            0.0314759761,
            0.0300168786,
            0.0285577793,
            0.0270986799,
            0.0256395806,
            0.0248353537,
            0.024105804,
            0.0233762544,
            0.0226467047,
            0.021917155,
            0.0211876053,
            0.0204580557,
            0.019728506,
            0.0189989563,
            0.0182694066,
            0.017539857,
            0.0168103073,
            0.0160807576,
            0.0153512089,
            0.0146216592,
            0.0138921095,
            0.0131625598,
            0.0124330102,
            0.0117034605,
            0.0109739108,
            0.0102443611,
            0.00951481238,
            0.0087852627,
            0.00805571303,
            0.00732616289,
            0.00659661321,
            0.005867064,
            0.00513751432,
            0.00440796465,
            0.00367841497,
            0.00294886529,
            0.00221931562,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.0022480383,
            0.00297758775,
            0.00370713742,
            0.0044366871,
            0.00516623631,
            0.00589578599,
            0.00662533566,
            0.00735488534,
            0.00808443502,
            0.00881398469,
            0.00954353437,
            0.010273084,
            0.0110026337,
            0.0117321825,
            0.0124617321,
            0.0131912818,
            0.0139208315,
            0.0146503812,
            0.0153799308,
            0.0161094815,
            0.0168390293,
            0.0175685789,
            0.0182981286,
            0.0190276783,
            0.019757228,
            0.0204867776,
            0.0212163273,
            0.021945877,
            0.0226754267,
            0.0234049764,
            0.024134526,
            0.0248640757,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254787356,
            0.0247491859,
            0.0240196362,
            0.0232900865,
            0.0225605369,
            0.0218309872,
            0.0211014375,
            0.0203718878,
            0.0196423382,
            0.0189127885,
            0.0181832388,
            0.0174536891,
            0.0167241395,
            0.0159945898,
            0.015265041,
            0.0145354914,
            0.0138059417,
            0.0122108897,
            0.0105086081,
            0.0088063255,
            0.00710404292,
            0.00540176034,
            0.00369947776,
            0.00199719612,
            0.000294913538,
            -0.00140736904,
            -0.00310965069,
            -0.00481193326,
            -0.00651421584,
            -0.00821649842,
            -0.009918781,
            -0.0116210636,
            -0.0133233462,
            -0.0142826745,
            -0.0150122242,
            -0.0157417729,
            -0.0164713226,
            -0.0172008723,
            -0.017930422,
            -0.0186599717,
            -0.0193895213,
            -0.020119071,
            -0.0208486207,
            -0.0215781704,
            -0.02230772,
            -0.0230372697,
            -0.0237668194,
            -0.0244963691,
            -0.0252259187,
            -0.0259554684,
            -0.0266850181,
            -0.0274145678,
            -0.0281441174,
            -0.0288736671,
            -0.0296032168,
            -0.0303327665,
            -0.0310623161,
            -0.0317918658,
            -0.0325214155,
            -0.0332509652,
            -0.0339805149,
            -0.0347100645,
            -0.0354396105,
            -0.0361691639,
            -0.0368987098,
            -0.0376282632,
            -0.0383578092,
            -0.0390873589,
            -0.0398169085,
            -0.0405464582,
            -0.0412760079,
            -0.0420055576,
            -0.0427351072,
            -0.0434646569,
            -0.0441942066,
            -0.0449237563,
            -0.0456533059,
            -0.0463828556,
            -0.0471124053,
            -0.047841955,
            -0.0485715047,
            -0.0493010543,
            -0.050030604,
            -0.0507601537,
            -0.0514897034,
            -0.052219253,
            -0.0529488027,
            -0.0536783524,
            -0.0544079021,
            -0.0551374517,
            -0.0558670014,
            -0.0565965511,
            -0.0573261008,
            -0.0580556504,
            -0.0587852001,
            -0.0595147498,
            -0.0602442995,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607919395,
            -0.0617646724,
            -0.0627374053,
            -0.0637101382,
            -0.0646828711,
            -0.065655604,
            -0.0666283369,
            -0.0676010698,
            -0.0685738027,
            -0.0695465356,
            -0.0705192685,
            -0.0714920014,
            -0.0724647343,
            -0.0734374672,
            -0.0744102001,
            -0.075382933,
            -0.0763556659,
            -0.0784007013,
            -0.0805893466,
            -0.0827779919,
            -0.0849666372,
            -0.0871552899,
            -0.0893439353,
            -0.0915325806,
            -0.0937212259,
            -0.0959098786,
            -0.0980985239,
            -0.100287169,
            -0.102475815,
            -0.10466446,
            -0.106853113,
            -0.109041758,
            -0.111230403,
            -0.113051407,
            -0.114753693,
            -0.11645598,
            -0.118158266,
            -0.119860552,
            -0.121562839,
            -0.123265125,
            -0.124967411,
            -0.12666969,
            -0.128371984,
            -0.130074263,
            -0.131776556,
            -0.133478835,
            -0.135181129,
            -0.136883408,
            -0.138585702,
            -0.13967523,
            -0.140404791,
            -0.141134337,
            -0.141863883,
            -0.142593428,
            -0.143322989,
            -0.144052535,
            -0.144782081,
            -0.145511627,
            -0.146241188,
            -0.146970734,
            -0.14770028,
            -0.148429826,
            -0.149159387,
            -0.149888933,
            -0.150618479,
            -0.151715681,
            -0.153174773,
            -0.15463388,
            -0.156092972,
            -0.157552078,
            -0.15901117,
            -0.160470277,
            -0.161929369,
            -0.163388476,
            -0.164847568,
            -0.166306674,
            -0.167765766,
            -0.169224873,
            -0.170683965,
            -0.172143072,
            -0.173602164,
            -0.174785525,
            -0.175515085,
            -0.176244631,
            -0.176974177,
            -0.177703723,
            -0.178433269,
            -0.17916283,
            -0.179892376,
            -0.180621922,
            -0.181351468,
            -0.182081029,
            -0.182810575,
            -0.183540121,
            -0.184269667,
            -0.184999228,
            -0.185728773,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499
          ],
          [
            -0.198039204,
            -0.199011937,
            -0.19998467,
            -0.200957403,
            -0.201930135,
            -0.202902868,
            -0.203875601,
            -0.204848334,
            -0.205821067,
            -0.2067938,
            -0.207766533,
            -0.208739266,
            -0.209711999,
            -0.210684732,
            -0.211657465,
            -0.212630197,
            -0.21360293,
            -0.214363113,
            -0.215092659,
            -0.21582222,
            -0.216551766,
            -0.217281312,
            -0.218010858,
            -0.218740419,
            -0.219469965,
            -0.22019951,
            -0.220929056,
            -0.221658617,
            -0.222388163,
            -0.223117709,
            -0.223847255,
            -0.224576816,
            -0.225306362,
            -0.226035908,
            -0.226765454,
            -0.227495015,
            -0.228224561,
            -0.228954107,
            -0.229683653,
            -0.230413213,
            -0.231142759,
            -0.231872305,
            -0.232601851,
            -0.233331412,
            -0.234060958,
            -0.234790504,
            -0.23552005,
            -0.236249596,
            -0.236979157,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237432972,
            -0.238162518,
            -0.238892063,
            -0.239621609,
            -0.24035117,
            -0.241080716,
            -0.241810262,
            -0.242539808,
            -0.243269369,
            -0.243998915,
            -0.244728461,
            -0.245458007,
            -0.246187568,
            -0.246917114,
            -0.24764666,
            -0.248376206,
            -0.249105766,
            -0.249835312,
            -0.250564873,
            -0.251294404,
            -0.252023965,
            -0.252753526,
            -0.253483057,
            -0.254212618,
            -0.254942179,
            -0.25567171,
            -0.256401271,
            -0.257130831,
            -0.257860363,
            -0.258589923,
            -0.259319484,
            -0.260049045,
            -0.260778576,
            -0.261749387,
            -0.262722135,
            -0.263694853,
            -0.2646676,
            -0.265640318,
            -0.266613066,
            -0.267585784,
            -0.268558502,
            -0.26953125,
            -0.270503968,
            -0.271476716,
            -0.272449434,
            -0.273422182,
            -0.2743949,
            -0.275367618,
            -0.276340365,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.275750607,
            -0.274777859,
            -0.273805141,
            -0.272832394,
            -0.271859676,
            -0.270886958,
            -0.26991421,
            -0.268941492,
            -0.267968744,
            -0.266996026,
            -0.266023278,
            -0.26505056,
            -0.264077812,
            -0.263105094,
            -0.262132376,
            -0.261159629,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.261259198,
            -0.262231946,
            -0.263204664,
            -0.264177412,
            -0.26515013,
            -0.266122848,
            -0.267095596,
            -0.268068314,
            -0.269041061,
            -0.270013779,
            -0.270986527,
            -0.271959245,
            -0.272931963,
            -0.273904711,
            -0.274877429,
            -0.275850177,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.275635719,
            -0.274662971,
            -0.273690253,
            -0.272717506,
            -0.271744788,
            -0.27077204,
            -0.269799322,
            -0.268826604,
            -0.267853856,
            -0.266881138,
            -0.26590839,
            -0.264935672,
            -0.263962924,
            -0.262990206,
            -0.262017488,
            -0.261044741,
            -0.259715855,
            -0.258256763,
            -0.256797642,
            -0.25533855,
            -0.253879458,
            -0.252420336,
            -0.250961244,
            -0.249502152,
            -0.248043045,
            -0.246583939,
            -0.245124847,
            -0.24366574,
            -0.242206633,
            -0.240747541,
            -0.239288434,
            -0.237829342,
            -0.236370236,
            -0.234911144,
            -0.233452037,
            -0.231992945,
            -0.230533838,
            -0.229074746,
            -0.22761564,
            -0.226156548,
            -0.224697441,
            -0.223238349,
            -0.221779242,
            -0.22032015,
            -0.218861043,
            -0.217401952,
            -0.215942845,
            -0.214483753,
            -0.212907851,
            -0.211205557,
            -0.209503278,
            -0.207800999,
            -0.20609872,
            -0.204396427,
            -0.202694148,
            -0.200991869,
            -0.19928959,
            -0.197587311,
            -0.195885018,
            -0.194182739,
            -0.19248046,
            -0.190778181,
            -0.189075887,
            -0.187373608,
            -0.185757488,
            -0.184298396,
            -0.182839304,
            -0.181380197,
            -0.179921106,
            -0.178461999,
            -0.177002907,
            -0.1755438,
            -0.174084708,
            -0.172625601,
            -0.171166509,
            -0.169707403,
            -0.168248311,
            -0.166789204,
            -0.165330112,
            -0.163871005,
            -0.162411913,
            -0.160952806,
            -0.159493715,
            -0.158034608,
            -0.156575516,
            -0.155116409,
            -0.153657317,
            -0.15219821,
            -0.150739118,
            -0.149280012,
            -0.14782092,
            -0.146361813,
            -0.144902721,
            -0.143443614,
            -0.141984522,
            -0.140525416,
            -0.139041424,
            -0.137339145,
            -0.135636851,
            -0.133934572,
            -0.132232279,
            -0.13053,
            -0.128827706,
            -0.127125427,
            -0.125423133,
            -0.123720855,
            -0.122018568,
            -0.120316282,
            -0.118613996,
            -0.116911709,
            -0.115209423,
            -0.113507137,
            -0.11180485,
            -0.109627694,
            -0.107439049,
            -0.105250396,
            -0.103061751,
            -0.100873105,
            -0.0986844599,
            -0.0964958146,
            -0.0943071619,
            -0.0921185166,
            -0.0899298713,
            -0.087741226,
            -0.0855525732,
            -0.0833639279,
            -0.0811752826,
            -0.0789866373,
            -0.076797992,
            -0.0744025409,
            -0.0719707087,
            -0.0695388764,
            -0.0671070442,
            -0.0646752119,
            -0.0622433797,
            -0.0598115474,
            -0.0573797151,
            -0.0549478829,
            -0.0525160506,
            -0.0500842184,
            -0.0476523861,
            -0.0452205539,
            -0.0427887253,
            -0.0403568931,
            -0.0379250608,
            -0.0361978859,
            -0.0347387865,
            -0.0332796872,
            -0.0318205878,
            -0.0303614885,
            -0.0289023891,
            -0.0274432898,
            -0.0259841904,
            -0.0245250911,
            -0.0230659917,
            -0.0216068923,
            -0.020147793,
            -0.0186886936,
            -0.0172295962,
            -0.0157704968,
            -0.0143113974,
            -0.0127067706,
            -0.0110044889,
            -0.00930220634,
            -0.00759992376,
            -0.00589764118,
            -0.0041953586,
            -0.00249307696,
            -0.00079079438,
            0.000911488198,
            0.00261376984,
            0.00431605242,
            0.006018335,
            0.00772061758,
            0.00942290016,
            0.0111251827,
            0.0128274653,
            0.0144148571,
            0.0158739574,
            0.0173330568,
            0.0187921543,
            0.0202512536,
            0.021710353,
            0.0231694523,
            0.0246285517,
            0.026087651,
            0.0275467504,
            0.0290058479,
            0.0304649491,
            0.0319240466,
            0.0333831459,
            0.0348422453,
            0.0363013446,
            0.0375076868,
            0.0382372364,
            0.0389667861,
            0.0396963358,
            0.0404258855,
            0.0411554351,
            0.0418849848,
            0.0426145345,
            0.0433440842,
            0.0440736338,
            0.0448031835,
            0.0455327332,
            0.0462622829,
            0.0469918326,
            0.0477213822,
            0.0484509319,
            0.0491804816,
            0.0499100313,
            0.0506395809,
            0.0513691306,
            0.0520986803,
            0.05282823,
            0.0535577759,
            0.0542873293,
            0.0550168753,
            0.0557464287,
            0.0564759746,
            0.057205528,
            0.057935074,
            0.0586646236,
            0.0593941733,
            0.060123723,
            0.0609451868,
            0.0626474693,
            0.0643497482,
            0.0660520345,
            0.0677543133,
            0.0694565997,
            0.0711588785,
            0.0728611648,
            0.0745634437,
            0.07626573,
            0.0779680088,
            0.0796702951,
            0.081372574,
            0.0830748528,
            0.0847771391,
            0.0864794254,
            0.0881817043,
            0.088941887,
            0.0896714404,
            0.0904009864,
            0.0911305398,
            0.0918600857,
            0.0925896391,
            0.0933191851,
            0.0940487385,
            0.0947782844,
            0.0955078378,
            0.0962373838,
            0.0969669372,
            0.0976964831,
            0.0984260365,
            0.0991555825,
            0.0998851359,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0994772762,
            0.0987477228,
            0.0980181769,
            0.0972886235,
            0.0965590775,
            0.0958295316,
            0.0950999781,
            0.0943704247,
            0.0936408788,
            0.0929113328,
            0.0921817794,
            0.091452226,
            0.0907226801,
            0.0899931341,
            0.0892635807,
            0.0885340348,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0876589566,
            0.0859566703,
            0.0842543915,
            0.0825521052,
            0.0808498263,
            0.0791475475,
            0.0774452612,
            0.0757429749,
            0.074040696,
            0.0723384172,
            0.0706361309,
            0.0689338446,
            0.0672315657,
            0.0655292869,
            0.0638270006,
            0.0621247217,
            0.0606292374,
            0.0598996878,
            0.0591701381,
            0.0584405884,
            0.0577110387,
            0.0569814891,
            0.0562519431,
            0.0555223897,
            0.0547928438,
            0.0540632941,
            0.0533337444,
            0.052604191,
            0.0518746451,
            0.0511450954,
            0.0504155457,
            0.049685996,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0494447276,
            0.0501742773,
            0.050903827,
            0.0516333766,
            0.0523629263,
            0.053092476,
            0.0538220257,
            0.0545515753,
            0.055281125,
            0.056010671,
            0.0567402244,
            0.0574697703,
            0.0581993237,
            0.0589288697,
            0.0596584231,
            0.060387969,
            0.0612285808,
            0.0622013137,
            0.0631740466,
            0.0641467795,
            0.0651195124,
            0.0660922453,
            0.0670649782,
            0.0680377111,
            0.069010444,
            0.0699831769,
            0.0709559098,
            0.0719286427,
            0.0729013756,
            0.0738741085,
            0.0748468414,
            0.0758195743,
            0.0767118782,
            0.0774414316,
            0.0781709775,
            0.0789005309,
            0.0796300769,
            0.0803596303,
            0.0810891762,
            0.0818187296,
            0.0825482756,
            0.083277829,
            0.0840073749,
            0.0847369283,
            0.0854664743,
            0.0861960277,
            0.0869255736,
            0.087655127,
            0.088384673,
            0.0891142264,
            0.0898437724,
            0.0905733258,
            0.0913028717,
            0.0920324251,
            0.0927619711,
            0.0934915245,
            0.0942210704,
            0.0949506238,
            0.0956801698,
            0.0964097232,
            0.0971392691,
            0.0978688225,
            0.0985983685,
            0.0993279219,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100695103,
            0.101424657,
            0.102154203,
            0.102883756,
            0.103613302,
            0.104342856,
            0.105072401,
            0.105801955,
            0.106531501,
            0.107261054,
            0.1079906,
            0.108720154,
            0.1094497,
            0.110179253,
            0.110908799,
            0.111638352,
            0.112367898,
            0.113097452,
            0.113826998,
            0.114556551,
            0.115286097,
            0.11601565,
            0.116745196,
            0.11747475,
            0.118204296,
            0.118933849,
            0.119663395,
            0.120392948,
            0.121122494,
            0.121852048,
            0.122581594,
            0.123311147,
            0.124722369,
            0.126424655,
            0.128126934,
            0.129829213,
            0.131531507,
            0.133233786,
            0.134936064,
            0.136638343,
            0.138340637,
            0.140042916,
            0.141745195,
            0.143447474,
            0.145149767,
            0.146852046,
            0.148554325,
            0.150256604,
            0.151399761,
            0.152129322,
            0.152858868,
            0.153588429,
            0.154317975,
            0.155047536,
            0.155777082,
            0.156506628,
            0.157236189,
            0.15796575,
            0.158695295,
            0.159424841,
            0.160154402,
            0.160883963,
            0.161613509,
            0.162343055,
            0.163400054,
            0.164859146,
            0.166318238,
            0.16777733,
            0.169236436,
            0.170695528,
            0.17215462,
            0.173613712,
            0.175072819,
            0.176531911,
            0.177991003,
            0.179450095,
            0.180909187,
            0.182368293,
            0.183827385,
            0.185286477,
            0.186824083,
            0.188526362,
            0.190228656,
            0.191930935,
            0.193633214,
            0.195335492,
            0.197037786,
            0.198740065,
            0.200442344,
            0.202144623,
            0.203846902,
            0.205549195,
            0.207251474,
            0.208953753,
            0.210656032,
            0.212358326,
            0.213869125,
            0.214598671,
            0.215328217,
            0.216057763,
            0.216787323,
            0.217516869,
            0.218246415,
            0.218975961,
            0.219705522,
            0.220435068,
            0.221164614,
            0.22189416,
            0.222623721,
            0.223353267,
            0.224082813,
            0.224812359,
            0.225541919,
            0.226271465,
            0.227001011,
            0.227730557,
            0.228460118,
            0.229189664,
            0.22991921,
            0.230648756,
            0.231378317,
            0.232107863,
            0.232837409,
            0.233566955,
            0.234296501,
            0.235026062,
            0.235755607,
            0.236485153,
            0.237214699,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237576604,
            0.238306165,
            0.239035711,
            0.239765257,
            0.240494803,
            0.241224363,
            0.241953909,
            0.242683455,
            0.243413001,
            0.244142562,
            0.244872108,
            0.245601654,
            0.2463312,
            0.247060746,
            0.247790307,
            0.248519853,
            0.249249399,
            0.24997896,
            0.25070852,
            0.251438051,
            0.252167612,
            0.252897173,
            0.253626734,
            0.254356265,
            0.255085826,
            0.255815387,
            0.256544948,
            0.257274479,
            0.25800404,
            0.2587336,
            0.259463161,
            0.260192692,
            0.260968208,
            0.261940956,
            0.262913674,
            0.263886422,
            0.26485917,
            0.265831888,
            0.266804636,
            0.267777354,
            0.268750101,
            0.269722849,
            0.270695567,
            0.271668315,
            0.272641063,
            0.273613781,
            0.274586529,
            0.275559247,
            0.276516676,
            0.277246237,
            0.277975768,
            0.278705329,
            0.27943486,
            0.280164421,
            0.280893952,
            0.281623483,
            0.282353044,
            0.283082604,
            0.283812135,
            0.284541667,
            0.285271227,
            0.286000788,
            0.286730319,
            0.28745985,
            0.288189411,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.287643701,
            0.28691414,
            0.286184609,
            0.285455048,
            0.284725517,
            0.283995956,
            0.283266425,
            0.282536864,
            0.281807333,
            0.281077772,
            0.280348241,
            0.27961868,
            0.278889149,
            0.278159589,
            0.277430058,
            0.276700497,
            0.275804371,
            0.274831623,
            0.273858875,
            0.272886157,
            0.271913409,
            0.270940661,
            0.269967943,
            0.268995196,
            0.268022478,
            0.26704973,
            0.266076982,
            0.265104264,
            0.264131516,
            0.263158798,
            0.26218605,
            0.261213303,
            0.260376513,
            0.259646982,
            0.258917421,
            0.25818786,
            0.257458299,
            0.256728768,
            0.255999207,
            0.255269647,
            0.254540086,
            0.253810555,
            0.253080994,
            0.252351433,
            0.251621902,
            0.250892341,
            0.25016278,
            0.249433234,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.248795584,
            0.248066038,
            0.247336492,
            0.246606946,
            0.245877385,
            0.245147839,
            0.244418293,
            0.243688747,
            0.242959186,
            0.24222964,
            0.241500095,
            0.240770549,
            0.240040988,
            0.239311442,
            0.238581896,
            0.23785235,
            0.237122789,
            0.236393243,
            0.235663697,
            0.234934151,
            0.23420459,
            0.233475044,
            0.232745498,
            0.232015952,
            0.231286392,
            0.230556846,
            0.2298273,
            0.229097754,
            0.228368193,
            0.227638647,
            0.226909101,
            0.226179555,
            0.225449994,
            0.224720448,
            0.223990902,
            0.223261356,
            0.222531796,
            0.22180225,
            0.221072704,
            0.220343158,
            0.219613612,
            0.218884051,
            0.218154505,
            0.217424959,
            0.216695398,
            0.215965852,
            0.215236306,
            0.21450676,
            0.213777214,
            0.212143853,
            0.210441574,
            0.208739296,
            0.207037017,
            0.205334723,
            0.203632444,
            0.201930165,
            0.200227886,
            0.198525608,
            0.196823314,
            0.195121035,
            0.193418756,
            0.191716462,
            0.190014184,
            0.188311905,
            0.186609626,
            0.185102656,
            0.183643565,
            0.182184473,
            0.180725366,
            0.179266274,
            0.177807182,
            0.17634809,
            0.174888983,
            0.173429891,
            0.1719708,
            0.170511708,
            0.169052601,
            0.167593509,
            0.166134417,
            0.164675325,
            0.163216218,
            0.162251145,
            0.161521599,
            0.160792038,
            0.160062492,
            0.159332931,
            0.158603385,
            0.157873824,
            0.157144278,
            0.156414717,
            0.155685171,
            0.154955611,
            0.154226065,
            0.153496504,
            0.152766958,
            0.152037397,
            0.151307851,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.15110679,
            0.151836351,
            0.152565897,
            0.153295457,
            0.154025003,
            0.154754564,
            0.15548411,
            0.156213671,
            0.156943217,
            0.157672778,
            0.158402324,
            0.159131885,
            0.159861431,
            0.160590991,
            0.161320537,
            0.162050098,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163233459,
            0.163963005,
            0.164692551,
            0.165422097,
            0.166151643,
            0.166881189,
            0.167610735,
            0.168340281,
            0.169069827,
            0.169799373,
            0.170528919,
            0.171258464,
            0.17198801,
            0.172717556,
            0.173447102,
            0.174176648,
            0.174906194,
            0.17563574,
            0.176365286,
            0.177094847,
            0.177824393,
            0.178553939,
            0.179283485,
            0.180013046,
            0.180742592,
            0.181472138,
            0.182201684,
            0.182931244,
            0.18366079,
            0.184390336,
            0.185119882,
            0.185849443,
            0.186984926,
            0.188687205,
            0.190389499,
            0.192091778,
            0.193794057,
            0.195496336,
            0.197198629,
            0.198900908,
            0.200603187,
            0.202305466,
            0.20400776,
            0.205710039,
            0.207412317,
            0.209114596,
            0.21081689,
            0.212519169,
            0.214150593,
            0.215609699,
            0.217068791,
            0.218527898,
            0.21998699,
            0.221446097,
            0.222905189,
            0.224364296,
            0.225823388,
            0.227282494,
            0.228741586,
            0.230200693,
            0.231659785,
            0.233118892,
            0.234577984,
            0.23603709,
            0.237375557,
            0.238105103,
            0.238834649,
            0.239564195,
            0.240293756,
            0.241023302,
            0.241752848,
            0.242482394,
            0.243211955,
            0.243941501,
            0.244671047,
            0.245400593,
            0.246130154,
            0.246859699,
            0.247589245,
            0.248318791,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.248353258,
            0.247623712,
            0.246894166,
            0.24616462,
            0.245435059,
            0.244705513,
            0.243975967,
            0.243246421,
            0.24251686,
            0.241787314,
            0.241057768,
            0.240328223,
            0.239598662,
            0.238869116,
            0.23813957,
            0.237410024,
            0.236680463,
            0.235950917,
            0.235221371,
            0.234491825,
            0.233762264,
            0.233032718,
            0.232303172,
            0.231573626,
            0.230844066,
            0.23011452,
            0.229384974,
            0.228655428,
            0.227925867,
            0.227196321,
            0.226466775,
            0.225737229,
            0.224525139,
            0.223066047,
            0.221606955,
            0.220147848,
            0.218688756,
            0.217229664,
            0.215770572,
            0.214311481,
            0.212852374,
            0.211393282,
            0.20993419,
            0.208475083,
            0.207015991,
            0.205556899,
            0.204097807,
            0.202638716,
            0.201049402,
            0.199347109,
            0.19764483,
            0.195942551,
            0.194240257,
            0.192537963,
            0.190835685,
            0.189133406,
            0.187431112,
            0.185728833,
            0.184026539,
            0.18232426,
            0.180621967,
            0.178919688,
            0.177217394,
            0.175515115,
            0.174211115,
            0.173481569,
            0.172752023,
            0.172022477,
            0.171292931,
            0.170563385,
            0.169833839,
            0.169104293,
            0.168374747,
            0.167645201,
            0.166915655,
            0.166186109,
            0.165456563,
            0.164727017,
            0.163997471,
            0.163267925,
            0.162538379,
            0.161808819,
            0.161079273,
            0.160349712,
            0.159620166,
            0.158890605,
            0.158161059,
            0.157431498,
            0.156701952,
            0.155972391,
            0.155242845,
            0.154513285,
            0.153783739,
            0.153054178,
            0.152324632,
            0.151595071,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.1503198,
            0.149590254,
            0.148860693,
            0.148131147,
            0.147401601,
            0.146672055,
            0.145942494,
            0.145212948,
            0.144483402,
            0.143753856,
            0.143024296,
            0.14229475,
            0.141565204,
            0.140835658,
            0.140106097,
            0.139376551,
            0.138457432,
            0.137484699,
            0.136511967,
            0.135539234,
            0.134566501,
            0.133593768,
            0.132621035,
            0.131648302,
            0.130675569,
            0.129702836,
            0.128730103,
            0.12775737,
            0.126784638,
            0.125811905,
            0.124839179,
            0.123866446,
            0.122575849,
            0.12111675,
            0.119657651,
            0.118198551,
            0.116739452,
            0.115280353,
            0.113821253,
            0.112362154,
            0.110903054,
            0.109443955,
            0.107984856,
            0.106525756,
            0.105066657,
            0.103607558,
            0.102148458,
            0.100689366,
            0.0992302597,
            0.0977711603,
            0.096312061,
            0.0948529691,
            0.0933938622,
            0.0919347703,
            0.090475671,
            0.0890165716,
            0.0875574723,
            0.0860983729,
            0.0846392736,
            0.0831801742,
            0.0817210749,
            0.0802619755,
            0.0788028762,
            0.0773437768,
            0.076079987,
            0.0751072541,
            0.0741345212,
            0.0731617883,
            0.0721890554,
            0.0712163225,
            0.0702435896,
            0.0692708567,
            0.0682981238,
            0.0673253909,
            0.066352658,
            0.0653799251,
            0.0644071922,
            0.0634344593,
            0.0624617301,
            0.0614889972,
            0.0605832823,
            0.0598537326,
            0.0591241829,
            0.0583946332,
            0.0576650836,
            0.0569355339,
            0.0562059842,
            0.0554764345,
            0.0547468849,
            0.0540173352,
            0.0532877855,
            0.0525582358,
            0.0518286899,
            0.0510991365,
            0.0503695905,
            0.0496400371,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0489851683,
            0.047526069,
            0.0460669696,
            0.0446078703,
            0.0431487709,
            0.0416896716,
            0.0402305722,
            0.0387714729,
            0.0373123735,
            0.0358532742,
            0.0343941748,
            0.0329350755,
            0.0314759761,
            0.0300168786,
            0.0285577793,
            0.0270986799,
            0.0256395806,
            0.0248353537,
            0.024105804,
            0.0233762544,
            0.0226467047,
            0.021917155,
            0.0211876053,
            0.0204580557,
            0.019728506,
            0.0189989563,
            0.0182694066,
            0.017539857,
            0.0168103073,
            0.0160807576,
            0.0153512089,
            0.0146216592,
            0.0138921095,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0140127437,
            0.0147422934,
            0.0154718421,
            0.0162013918,
            0.0169309415,
            0.0176604912,
            0.0183900408,
            0.0191195905,
            0.0198491402,
            0.0205786899,
            0.0213082395,
            0.0220377892,
            0.0227673389,
            0.0234968886,
            0.0242264383,
            0.0249559879,
            0.0256855376,
            0.0264150873,
            0.027144637,
            0.0278741866,
            0.0286037344,
            0.0293332841,
            0.0300628338,
            0.0307923835,
            0.031521935,
            0.0322514847,
            0.0329810306,
            0.033710584,
            0.03444013,
            0.0351696834,
            0.0358992293,
            0.0366287827,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.037231952,
            0.0357728526,
            0.0343137532,
            0.0328546539,
            0.0313955545,
            0.0299364552,
            0.0284773558,
            0.0270182565,
            0.0255591571,
            0.0241000578,
            0.0226409603,
            0.0211818609,
            0.0197227616,
            0.0182636622,
            0.0168045629,
            0.0153454635,
            0.0138863642,
            0.0122108897,
            0.0105086081,
            0.0088063255,
            0.00710404292,
            0.00540176034,
            0.00369947776,
            0.00199719612,
            0.000294913538,
            -0.00140736904,
            -0.00310965069,
            -0.00481193326,
            -0.00651421584,
            -0.00821649842,
            -0.009918781,
            -0.0116210636,
            -0.0133233462,
            -0.0148398895,
            -0.0162989888,
            -0.0177580882,
            -0.0192171875,
            -0.0206762869,
            -0.0221353844,
            -0.0235944837,
            -0.0250535831,
            -0.0265126824,
            -0.0279717818,
            -0.0294308811,
            -0.0308899805,
            -0.0323490798,
            -0.0338081792,
            -0.0352672786,
            -0.0367263779,
            -0.0377201736,
            -0.0384497233,
            -0.0391792729,
            -0.0399088226,
            -0.0406383723,
            -0.041367922,
            -0.0420974717,
            -0.0428270213,
            -0.043556571,
            -0.0442861207,
            -0.0450156704,
            -0.04574522,
            -0.0464747697,
            -0.0472043157,
            -0.0479338691,
            -0.048663415,
            -0.0493929684,
            -0.0501225144,
            -0.050852064,
            -0.0515816137,
            -0.0523111634,
            -0.0530407131,
            -0.0537702627,
            -0.0544998124,
            -0.0552293621,
            -0.0559589118,
            -0.0566884615,
            -0.0574180111,
            -0.0581475608,
            -0.0588771105,
            -0.0596066602,
            -0.0603362098,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607976839,
            -0.0624999665,
            -0.0642022491,
            -0.0659045279,
            -0.0676068142,
            -0.0693090931,
            -0.0710113794,
            -0.0727136582,
            -0.0744159445,
            -0.0761182234,
            -0.0778205097,
            -0.0795227885,
            -0.0812250748,
            -0.0829273537,
            -0.08462964,
            -0.0863319188,
            -0.0880341977,
            -0.089522019,
            -0.0909811184,
            -0.0924402177,
            -0.0938993171,
            -0.095358409,
            -0.0968175083,
            -0.0982766077,
            -0.099735707,
            -0.101194799,
            -0.102653898,
            -0.104112998,
            -0.10557209,
            -0.107031189,
            -0.108490288,
            -0.10994938,
            -0.11140848,
            -0.113051407,
            -0.114753693,
            -0.11645598,
            -0.118158266,
            -0.119860552,
            -0.121562839,
            -0.123265125,
            -0.124967411,
            -0.12666969,
            -0.128371984,
            -0.130074263,
            -0.131776556,
            -0.133478835,
            -0.135181129,
            -0.136883408,
            -0.138585702,
            -0.13967523,
            -0.140404791,
            -0.141134337,
            -0.141863883,
            -0.142593428,
            -0.143322989,
            -0.144052535,
            -0.144782081,
            -0.145511627,
            -0.146241188,
            -0.146970734,
            -0.14770028,
            -0.148429826,
            -0.149159387,
            -0.149888933,
            -0.150618479,
            -0.151715681,
            -0.153174773,
            -0.15463388,
            -0.156092972,
            -0.157552078,
            -0.15901117,
            -0.160470277,
            -0.161929369,
            -0.163388476,
            -0.164847568,
            -0.166306674,
            -0.167765766,
            -0.169224873,
            -0.170683965,
            -0.172143072,
            -0.173602164,
            -0.174785525,
            -0.175515085,
            -0.176244631,
            -0.176974177,
            -0.177703723,
            -0.178433269,
            -0.17916283,
            -0.179892376,
            -0.180621922,
            -0.181351468,
            -0.182081029,
            -0.182810575,
            -0.183540121,
            -0.184269667,
            -0.184999228,
            -0.185728773,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499
          ],
          [
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.214363113,
            -0.215092659,
            -0.21582222,
            -0.216551766,
            -0.217281312,
            -0.218010858,
            -0.218740419,
            -0.219469965,
            -0.22019951,
            -0.220929056,
            -0.221658617,
            -0.222388163,
            -0.223117709,
            -0.223847255,
            -0.224576816,
            -0.225306362,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225668266,
            -0.226397812,
            -0.227127358,
            -0.227856904,
            -0.228586465,
            -0.229316011,
            -0.230045557,
            -0.230775103,
            -0.231504664,
            -0.23223421,
            -0.232963756,
            -0.233693302,
            -0.234422863,
            -0.235152408,
            -0.235881954,
            -0.2366115,
            -0.237341061,
            -0.238070607,
            -0.238800153,
            -0.239529699,
            -0.24025926,
            -0.240988806,
            -0.241718352,
            -0.242447898,
            -0.243177459,
            -0.243907005,
            -0.244636551,
            -0.245366096,
            -0.246095657,
            -0.246825203,
            -0.247554749,
            -0.248284295,
            -0.249013841,
            -0.249743402,
            -0.250472963,
            -0.251202494,
            -0.251932055,
            -0.252661616,
            -0.253391147,
            -0.254120708,
            -0.254850268,
            -0.255579799,
            -0.25630936,
            -0.257038921,
            -0.257768452,
            -0.258498013,
            -0.259227574,
            -0.259957135,
            -0.260686666,
            -0.26162684,
            -0.262599587,
            -0.263572305,
            -0.264545053,
            -0.265517771,
            -0.266490519,
            -0.267463237,
            -0.268435955,
            -0.269408703,
            -0.270381421,
            -0.271354169,
            -0.272326887,
            -0.273299634,
            -0.274272352,
            -0.27524507,
            -0.276217818,
            -0.275750607,
            -0.274777859,
            -0.273805141,
            -0.272832394,
            -0.271859676,
            -0.270886958,
            -0.26991421,
            -0.268941492,
            -0.267968744,
            -0.266996026,
            -0.266023278,
            -0.26505056,
            -0.264077812,
            -0.263105094,
            -0.262132376,
            -0.261159629,
            -0.261381745,
            -0.262354493,
            -0.263327211,
            -0.264299959,
            -0.265272677,
            -0.266245395,
            -0.267218143,
            -0.268190861,
            -0.269163609,
            -0.270136327,
            -0.271109074,
            -0.272081792,
            -0.27305451,
            -0.274027258,
            -0.274999976,
            -0.275972724,
            -0.276826739,
            -0.27755627,
            -0.278285831,
            -0.279015392,
            -0.279744923,
            -0.280474484,
            -0.281204015,
            -0.281933576,
            -0.282663137,
            -0.283392668,
            -0.284122229,
            -0.284851789,
            -0.285581321,
            -0.286310881,
            -0.287040412,
            -0.287769973,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.28760913,
            -0.286879569,
            -0.286150038,
            -0.285420477,
            -0.284690917,
            -0.283961385,
            -0.283231825,
            -0.282502294,
            -0.281772733,
            -0.281043172,
            -0.280313641,
            -0.27958408,
            -0.278854519,
            -0.278124988,
            -0.277395427,
            -0.276665896,
            -0.275758266,
            -0.274785519,
            -0.273812801,
            -0.272840053,
            -0.271867335,
            -0.270894617,
            -0.269921869,
            -0.268949151,
            -0.267976403,
            -0.267003685,
            -0.266030937,
            -0.265058219,
            -0.264085472,
            -0.263112754,
            -0.262140036,
            -0.261167288,
            -0.259899676,
            -0.258440584,
            -0.256981462,
            -0.25552237,
            -0.254063278,
            -0.252604157,
            -0.251145065,
            -0.249685973,
            -0.248226866,
            -0.246767759,
            -0.245308667,
            -0.243849561,
            -0.242390469,
            -0.240931362,
            -0.23947227,
            -0.238013163,
            -0.236086845,
            -0.233655006,
            -0.231223181,
            -0.228791341,
            -0.226359516,
            -0.223927677,
            -0.221495852,
            -0.219064027,
            -0.216632187,
            -0.214200348,
            -0.211768523,
            -0.209336698,
            -0.206904858,
            -0.204473019,
            -0.202041194,
            -0.199609369,
            -0.197522193,
            -0.196063101,
            -0.194604009,
            -0.193144903,
            -0.191685811,
            -0.190226704,
            -0.188767612,
            -0.187308505,
            -0.185849413,
            -0.184390306,
            -0.182931215,
            -0.181472108,
            -0.180013016,
            -0.178553909,
            -0.177094817,
            -0.17563571,
            -0.174176618,
            -0.172717512,
            -0.17125842,
            -0.169799313,
            -0.168340221,
            -0.166881114,
            -0.165422022,
            -0.163962916,
            -0.162503824,
            -0.161044717,
            -0.159585625,
            -0.158126518,
            -0.156667426,
            -0.155208319,
            -0.153749228,
            -0.152290121,
            -0.150806129,
            -0.14910385,
            -0.147401571,
            -0.145699278,
            -0.143996999,
            -0.142294705,
            -0.140592426,
            -0.138890147,
            -0.137187853,
            -0.135485575,
            -0.133783296,
            -0.132081002,
            -0.130378723,
            -0.128676444,
            -0.126974151,
            -0.125271872,
            -0.123569585,
            -0.121392429,
            -0.119203776,
            -0.117015131,
            -0.114826478,
            -0.112637833,
            -0.11044918,
            -0.108260535,
            -0.106071889,
            -0.103883237,
            -0.101694584,
            -0.0995059386,
            -0.0973172933,
            -0.0951286405,
            -0.0929399878,
            -0.0907513425,
            -0.0885626972,
            -0.0861672461,
            -0.0837354138,
            -0.0813035816,
            -0.0788717493,
            -0.0764399171,
            -0.0740080848,
            -0.0715762526,
            -0.0691444203,
            -0.0667125881,
            -0.0642807558,
            -0.0618489236,
            -0.0594170913,
            -0.0569852591,
            -0.0545534305,
            -0.0521215983,
            -0.049689766,
            -0.0479625911,
            -0.0465034917,
            -0.0450443923,
            -0.043585293,
            -0.0421261936,
            -0.0406670943,
            -0.0392079949,
            -0.0377488956,
            -0.0362897962,
            -0.0348306969,
            -0.0333715975,
            -0.0319124982,
            -0.0304533988,
            -0.0289943013,
            -0.027535202,
            -0.0260761026,
            -0.0244714767,
            -0.0227691941,
            -0.0210669115,
            -0.0193646289,
            -0.0176623464,
            -0.0159600638,
            -0.0142577821,
            -0.0125554996,
            -0.010853217,
            -0.00915093534,
            -0.00744865276,
            -0.00574637018,
            -0.0040440876,
            -0.00234180503,
            -0.000639522448,
            0.00106276013,
            0.00230548298,
            0.00303503266,
            0.00376458233,
            0.00449413154,
            0.00522368122,
            0.0059532309,
            0.00668278057,
            0.00741233025,
            0.00814187992,
            0.0088714296,
            0.00960097834,
            0.010330529,
            0.0110600777,
            0.0117896274,
            0.012519177,
            0.0132487267,
            0.0142310336,
            0.015690133,
            0.0171492323,
            0.0186083317,
            0.020067431,
            0.0215265304,
            0.0229856297,
            0.0244447291,
            0.0259038284,
            0.0273629278,
            0.0288220253,
            0.0302811246,
            0.0317402259,
            0.0331993252,
            0.0346584246,
            0.0361175239,
            0.0374157764,
            0.0381453261,
            0.0388748758,
            0.0396044254,
            0.0403339751,
            0.0410635248,
            0.0417930707,
            0.0425226241,
            0.0432521701,
            0.0439817235,
            0.0447112694,
            0.0454408228,
            0.0461703688,
            0.0468999185,
            0.0476294681,
            0.0483590178,
            0.0491804816,
            0.0508827642,
            0.0525850467,
            0.0542873293,
            0.0559896082,
            0.0576918945,
            0.0593941733,
            0.0610964559,
            0.0627987385,
            0.0645010248,
            0.0662033036,
            0.0679055899,
            0.0696078688,
            0.0713101476,
            0.0730124339,
            0.0747147202,
            0.0764169991,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0758942515,
            0.0741919652,
            0.0724896863,
            0.0707874,
            0.0690851212,
            0.0673828423,
            0.065680556,
            0.0639782697,
            0.0622759908,
            0.0605737083,
            0.0588714257,
            0.0571691431,
            0.0554668605,
            0.0537645817,
            0.0520622954,
            0.0503600165,
            0.0488645323,
            0.0481349826,
            0.0474054329,
            0.0466758832,
            0.0459463336,
            0.0452167839,
            0.0444872379,
            0.0437576845,
            0.0430281386,
            0.0422985889,
            0.0415690392,
            0.0408394858,
            0.0401099399,
            0.0393803902,
            0.0386508405,
            0.0379212908,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0379557572,
            0.0386853069,
            0.0394148566,
            0.0401444063,
            0.0408739559,
            0.0416035056,
            0.0423330553,
            0.043062605,
            0.0437921546,
            0.0445217043,
            0.0452512503,
            0.0459808037,
            0.0467103496,
            0.047439903,
            0.048169449,
            0.0488990024,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0494447276,
            0.0501742773,
            0.050903827,
            0.0516333766,
            0.0523629263,
            0.053092476,
            0.0538220257,
            0.0545515753,
            0.055281125,
            0.056010671,
            0.0567402244,
            0.0574697703,
            0.0581993237,
            0.0589288697,
            0.0596584231,
            0.060387969,
            0.0612285808,
            0.0622013137,
            0.0631740466,
            0.0641467795,
            0.0651195124,
            0.0660922453,
            0.0670649782,
            0.0680377111,
            0.069010444,
            0.0699831769,
            0.0709559098,
            0.0719286427,
            0.0729013756,
            0.0738741085,
            0.0748468414,
            0.0758195743,
            0.0767118782,
            0.0774414316,
            0.0781709775,
            0.0789005309,
            0.0796300769,
            0.0803596303,
            0.0810891762,
            0.0818187296,
            0.0825482756,
            0.083277829,
            0.0840073749,
            0.0847369283,
            0.0854664743,
            0.0861960277,
            0.0869255736,
            0.087655127,
            0.0885340348,
            0.0899931341,
            0.0914522335,
            0.0929113328,
            0.0943704247,
            0.0958295316,
            0.0972886235,
            0.0987477303,
            0.100206822,
            0.101665922,
            0.103125021,
            0.10458412,
            0.10604322,
            0.107502319,
            0.108961418,
            0.110420518,
            0.111822173,
            0.112551726,
            0.113281272,
            0.114010826,
            0.114740372,
            0.115469925,
            0.116199471,
            0.116929024,
            0.11765857,
            0.118388116,
            0.11911767,
            0.119847223,
            0.120576769,
            0.121306315,
            0.122035868,
            0.122765422,
            0.123494968,
            0.124456212,
            0.125428945,
            0.126401678,
            0.127374411,
            0.128347144,
            0.129319876,
            0.130292609,
            0.131265342,
            0.132238075,
            0.133210808,
            0.134183541,
            0.135156274,
            0.136129007,
            0.13710174,
            0.138074473,
            0.139047205,
            0.139818877,
            0.140548423,
            0.141277984,
            0.14200753,
            0.142737076,
            0.143466622,
            0.144196182,
            0.144925728,
            0.145655274,
            0.14638482,
            0.147114381,
            0.147843927,
            0.148573473,
            0.149303019,
            0.15003258,
            0.150762126,
            0.151491672,
            0.152221233,
            0.152950779,
            0.153680339,
            0.154409885,
            0.155139446,
            0.155868992,
            0.156598553,
            0.157328099,
            0.15805766,
            0.158787206,
            0.159516767,
            0.160246313,
            0.160975873,
            0.161705419,
            0.16243498,
            0.163164526,
            0.163894072,
            0.164623618,
            0.165353164,
            0.16608271,
            0.166812256,
            0.167541802,
            0.168271348,
            0.169000894,
            0.16973044,
            0.170459986,
            0.171189532,
            0.171919078,
            0.172648624,
            0.17337817,
            0.174107715,
            0.174837261,
            0.175566807,
            0.176296353,
            0.177025914,
            0.17775546,
            0.178485006,
            0.179214552,
            0.179944113,
            0.180673659,
            0.181403205,
            0.182132751,
            0.182862312,
            0.183591858,
            0.184321404,
            0.185050949,
            0.185780495,
            0.186588556,
            0.187561303,
            0.188534036,
            0.189506769,
            0.190479502,
            0.19145225,
            0.192424983,
            0.193397716,
            0.194370449,
            0.195343196,
            0.196315929,
            0.197288662,
            0.198261395,
            0.199234128,
            0.200206876,
            0.201179609,
            0.202104479,
            0.202834025,
            0.203563571,
            0.204293117,
            0.205022663,
            0.205752209,
            0.206481755,
            0.207211301,
            0.207940847,
            0.208670393,
            0.209399939,
            0.210129485,
            0.21085903,
            0.211588576,
            0.212318122,
            0.213047668,
            0.213828906,
            0.215288013,
            0.216747105,
            0.218206212,
            0.219665304,
            0.221124411,
            0.222583503,
            0.224042594,
            0.225501701,
            0.226960808,
            0.2284199,
            0.229878992,
            0.231338099,
            0.232797205,
            0.234256297,
            0.235715389,
            0.237174496,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.23776044,
            0.238489985,
            0.239219531,
            0.239949077,
            0.240678638,
            0.241408184,
            0.24213773,
            0.242867276,
            0.243596822,
            0.244326383,
            0.245055929,
            0.245785475,
            0.246515021,
            0.247244582,
            0.247974128,
            0.248703673,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249341309,
            0.25007087,
            0.250800431,
            0.251529962,
            0.252259523,
            0.252989084,
            0.253718644,
            0.254448175,
            0.255177736,
            0.255907297,
            0.256636858,
            0.257366389,
            0.25809595,
            0.258825511,
            0.259555072,
            0.260284603,
            0.261090755,
            0.262063503,
            0.263036221,
            0.264008969,
            0.264981717,
            0.265954435,
            0.266927183,
            0.26789993,
            0.268872648,
            0.269845396,
            0.270818114,
            0.271790862,
            0.27276361,
            0.273736328,
            0.274709076,
            0.275681794,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276516676,
            0.277246237,
            0.277975768,
            0.278705329,
            0.27943486,
            0.280164421,
            0.280893952,
            0.281623483,
            0.282353044,
            0.283082604,
            0.283812135,
            0.284541667,
            0.285271227,
            0.286000788,
            0.286730319,
            0.28745985,
            0.288189411,
            0.288918972,
            0.289648503,
            0.290378064,
            0.291107595,
            0.291837156,
            0.292566717,
            0.293296248,
            0.294025809,
            0.294755369,
            0.2954849,
            0.296214461,
            0.296943992,
            0.297673553,
            0.298403114,
            0.299132645,
            0.299862206,
            0.299408376,
            0.298678845,
            0.297949284,
            0.297219753,
            0.296490192,
            0.295760632,
            0.295031101,
            0.29430154,
            0.293571979,
            0.292842448,
            0.292112887,
            0.291383356,
            0.290653795,
            0.289924234,
            0.289194703,
            0.288465142,
            0.287735611,
            0.28700605,
            0.286276519,
            0.285546958,
            0.284817427,
            0.284087867,
            0.283358335,
            0.282628775,
            0.281899244,
            0.281169683,
            0.280440152,
            0.279710591,
            0.27898106,
            0.278251499,
            0.277521968,
            0.276792407,
            0.275926918,
            0.27495417,
            0.273981422,
            0.273008704,
            0.272035956,
            0.271063238,
            0.270090491,
            0.269117743,
            0.268145025,
            0.267172277,
            0.266199529,
            0.265226811,
            0.264254063,
            0.263281345,
            0.262308598,
            0.26133585,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260560364,
            0.259830803,
            0.259101242,
            0.258371681,
            0.25764215,
            0.256912589,
            0.256183028,
            0.255453467,
            0.254723936,
            0.253994375,
            0.253264815,
            0.252535254,
            0.251805723,
            0.251076162,
            0.250346601,
            0.249617055,
            0.248887494,
            0.248157948,
            0.247428402,
            0.246698856,
            0.245969296,
            0.24523975,
            0.244510204,
            0.243780658,
            0.243051097,
            0.242321551,
            0.241592005,
            0.240862459,
            0.240132898,
            0.239403352,
            0.238673806,
            0.23794426,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.235899225,
            0.234440118,
            0.232981026,
            0.231521919,
            0.230062827,
            0.228603721,
            0.227144629,
            0.225685522,
            0.22422643,
            0.222767323,
            0.221308231,
            0.219849125,
            0.218390033,
            0.216930926,
            0.215471834,
            0.214012727,
            0.212358326,
            0.210656032,
            0.208953753,
            0.207251474,
            0.205549195,
            0.203846902,
            0.202144623,
            0.200442344,
            0.198740065,
            0.197037786,
            0.195335492,
            0.193633214,
            0.191930935,
            0.190228641,
            0.188526362,
            0.186824083,
            0.185286477,
            0.183827385,
            0.182368293,
            0.180909187,
            0.179450095,
            0.177991003,
            0.176531911,
            0.175072819,
            0.173613712,
            0.17215462,
            0.170695528,
            0.169236422,
            0.16777733,
            0.166318238,
            0.164859146,
            0.163400054,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162526891,
            0.16179733,
            0.161067784,
            0.160338223,
            0.159608677,
            0.158879116,
            0.15814957,
            0.157420009,
            0.156690463,
            0.155960903,
            0.155231357,
            0.154501796,
            0.15377225,
            0.153042689,
            0.152313143,
            0.151583582,
            0.15110679,
            0.151836351,
            0.152565897,
            0.153295457,
            0.154025003,
            0.154754564,
            0.15548411,
            0.156213671,
            0.156943217,
            0.157672778,
            0.158402324,
            0.159131885,
            0.159861431,
            0.160590991,
            0.161320537,
            0.162050098,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.16372174,
            0.165180832,
            0.166639924,
            0.168099031,
            0.169558123,
            0.171017215,
            0.172476307,
            0.173935413,
            0.175394505,
            0.176853597,
            0.178312689,
            0.179771781,
            0.181230888,
            0.18268998,
            0.184149072,
            0.185608163,
            0.186803028,
            0.187775761,
            0.188748494,
            0.189721227,
            0.190693974,
            0.191666707,
            0.19263944,
            0.193612173,
            0.194584921,
            0.195557654,
            0.196530387,
            0.19750312,
            0.198475868,
            0.1994486,
            0.200421333,
            0.201394066,
            0.202569783,
            0.204028875,
            0.205487967,
            0.206947058,
            0.20840615,
            0.209865257,
            0.211324349,
            0.212783441,
            0.214242533,
            0.21570164,
            0.217160732,
            0.218619823,
            0.220078915,
            0.221538022,
            0.222997114,
            0.224456206,
            0.225915298,
            0.227374405,
            0.228833497,
            0.230292603,
            0.231751695,
            0.233210802,
            0.234669894,
            0.236129001,
            0.237588093,
            0.239047199,
            0.240506291,
            0.241965398,
            0.24342449,
            0.244883597,
            0.246342689,
            0.247801796,
            0.249301106,
            0.251003385,
            0.252705693,
            0.254407972,
            0.256110251,
            0.25781256,
            0.259514838,
            0.261217117,
            0.262919426,
            0.264621705,
            0.266324013,
            0.268026292,
            0.269728571,
            0.27143088,
            0.273133159,
            0.274835438,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.275582224,
            0.274609506,
            0.273636758,
            0.27266404,
            0.271691293,
            0.270718545,
            0.269745827,
            0.268773079,
            0.267800331,
            0.266827613,
            0.265854865,
            0.264882147,
            0.2639094,
            0.262936652,
            0.261963934,
            0.260991186,
            0.259635478,
            0.258176386,
            0.256717294,
            0.255258173,
            0.253799081,
            0.252339959,
            0.250880867,
            0.249421775,
            0.247962669,
            0.246503562,
            0.245044455,
            0.243585348,
            0.242126256,
            0.240667149,
            0.239208043,
            0.237748951,
            0.235807315,
            0.233618662,
            0.231430024,
            0.229241371,
            0.227052733,
            0.224864081,
            0.222675443,
            0.22048679,
            0.218298152,
            0.216109499,
            0.213920861,
            0.211732209,
            0.209543571,
            0.207354918,
            0.20516628,
            0.202977628,
            0.201440021,
            0.200467288,
            0.199494556,
            0.198521823,
            0.197549075,
            0.196576342,
            0.195603609,
            0.194630876,
            0.193658128,
            0.192685395,
            0.191712663,
            0.19073993,
            0.189767182,
            0.188794449,
            0.187821716,
            0.186848983,
            0.18597582,
            0.185246259,
            0.184516713,
            0.183787167,
            0.183057621,
            0.18232806,
            0.181598514,
            0.180868968,
            0.180139422,
            0.179409862,
            0.178680316,
            0.17795077,
            0.177221224,
            0.176491678,
            0.175762117,
            0.175032571,
            0.174096227,
            0.17263712,
            0.171178028,
            0.169718921,
            0.168259829,
            0.166800722,
            0.165341631,
            0.163882524,
            0.162423432,
            0.160964325,
            0.159505233,
            0.158046126,
            0.156587034,
            0.155127928,
            0.153668836,
            0.152209729,
            0.150865525,
            0.150135979,
            0.149406418,
            0.148676872,
            0.147947326,
            0.14721778,
            0.146488219,
            0.145758674,
            0.145029128,
            0.144299582,
            0.143570021,
            0.142840475,
            0.142110929,
            0.141381383,
            0.140651822,
            0.139922276,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.138457432,
            0.137484699,
            0.136511967,
            0.135539234,
            0.134566501,
            0.133593768,
            0.132621035,
            0.131648302,
            0.130675569,
            0.129702836,
            0.128730103,
            0.12775737,
            0.126784638,
            0.125811905,
            0.124839179,
            0.123866446,
            0.122575849,
            0.12111675,
            0.119657651,
            0.118198551,
            0.116739452,
            0.115280353,
            0.113821253,
            0.112362154,
            0.110903054,
            0.109443955,
            0.107984856,
            0.106525756,
            0.105066657,
            0.103607558,
            0.102148458,
            0.100689366,
            0.0996151417,
            0.0988855958,
            0.0981560424,
            0.0974264964,
            0.096696943,
            0.0959673971,
            0.0952378437,
            0.0945082977,
            0.0937787443,
            0.0930491984,
            0.092319645,
            0.091590099,
            0.0908605456,
            0.0901309997,
            0.0894014463,
            0.0886719003,
            0.0875517279,
            0.0858494416,
            0.0841471627,
            0.0824448764,
            0.0807425976,
            0.0790403113,
            0.0773380324,
            0.0756357461,
            0.0739334673,
            0.072231181,
            0.0705289021,
            0.0688266158,
            0.067124337,
            0.0654220581,
            0.0637197718,
            0.0620174892,
            0.0605832823,
            0.0598537326,
            0.0591241829,
            0.0583946332,
            0.0576650836,
            0.0569355339,
            0.0562059842,
            0.0554764345,
            0.0547468849,
            0.0540173352,
            0.0532877855,
            0.0525582358,
            0.0518286899,
            0.0510991365,
            0.0503695905,
            0.0496400371,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0489851683,
            0.047526069,
            0.0460669696,
            0.0446078703,
            0.0431487709,
            0.0416896716,
            0.0402305722,
            0.0387714729,
            0.0373123735,
            0.0358532742,
            0.0343941748,
            0.0329350755,
            0.0314759761,
            0.0300168786,
            0.0285577793,
            0.0270986799,
            0.0256395806,
            0.0248353537,
            0.024105804,
            0.0233762544,
            0.0226467047,
            0.021917155,
            0.0211876053,
            0.0204580557,
            0.019728506,
            0.0189989563,
            0.0182694066,
            0.017539857,
            0.0168103073,
            0.0160807576,
            0.0153512089,
            0.0146216592,
            0.0138921095,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0140127437,
            0.0147422934,
            0.0154718421,
            0.0162013918,
            0.0169309415,
            0.0176604912,
            0.0183900408,
            0.0191195905,
            0.0198491402,
            0.0205786899,
            0.0213082395,
            0.0220377892,
            0.0227673389,
            0.0234968886,
            0.0242264383,
            0.0249559879,
            0.0256855376,
            0.0264150873,
            0.027144637,
            0.0278741866,
            0.0286037344,
            0.0293332841,
            0.0300628338,
            0.0307923835,
            0.031521935,
            0.0322514847,
            0.0329810306,
            0.033710584,
            0.03444013,
            0.0351696834,
            0.0358992293,
            0.0366287827,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.037231952,
            0.0357728526,
            0.0343137532,
            0.0328546539,
            0.0313955545,
            0.0299364552,
            0.0284773558,
            0.0270182565,
            0.0255591571,
            0.0241000578,
            0.0226409603,
            0.0211818609,
            0.0197227616,
            0.0182636622,
            0.0168045629,
            0.0153454635,
            0.0138863642,
            0.0122108897,
            0.0105086081,
            0.0088063255,
            0.00710404292,
            0.00540176034,
            0.00369947776,
            0.00199719612,
            0.000294913538,
            -0.00140736904,
            -0.00310965069,
            -0.00481193326,
            -0.00651421584,
            -0.00821649842,
            -0.009918781,
            -0.0116210636,
            -0.0133233462,
            -0.0148398895,
            -0.0162989888,
            -0.0177580882,
            -0.0192171875,
            -0.0206762869,
            -0.0221353844,
            -0.0235944837,
            -0.0250535831,
            -0.0265126824,
            -0.0279717818,
            -0.0294308811,
            -0.0308899805,
            -0.0323490798,
            -0.0338081792,
            -0.0352672786,
            -0.0367263779,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0376282632,
            -0.0383578092,
            -0.0390873589,
            -0.0398169085,
            -0.0405464582,
            -0.0412760079,
            -0.0420055576,
            -0.0427351072,
            -0.0434646569,
            -0.0441942066,
            -0.0449237563,
            -0.0456533059,
            -0.0463828556,
            -0.0471124053,
            -0.047841955,
            -0.0485715047,
            -0.0493010543,
            -0.050030604,
            -0.0507601537,
            -0.0514897034,
            -0.052219253,
            -0.0529488027,
            -0.0536783524,
            -0.0544079021,
            -0.0551374517,
            -0.0558670014,
            -0.0565965511,
            -0.0573261008,
            -0.0580556504,
            -0.0587852001,
            -0.0595147498,
            -0.0602442995,
            -0.0610370375,
            -0.0620097704,
            -0.0629824996,
            -0.0639552325,
            -0.0649279654,
            -0.0659006983,
            -0.0668734312,
            -0.0678461641,
            -0.068818897,
            -0.0697916299,
            -0.0707643628,
            -0.0717370957,
            -0.0727098286,
            -0.0736825615,
            -0.0746552944,
            -0.0756280273,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764820427,
            -0.077941142,
            -0.0794002414,
            -0.0808593407,
            -0.0823184401,
            -0.0837775394,
            -0.0852366388,
            -0.0866957381,
            -0.0881548375,
            -0.0896139368,
            -0.0910730362,
            -0.0925321355,
            -0.0939912349,
            -0.0954503343,
            -0.0969094336,
            -0.098368533,
            -0.0998276323,
            -0.100643344,
            -0.10137289,
            -0.102102444,
            -0.10283199,
            -0.103561535,
            -0.104291081,
            -0.105020635,
            -0.105750181,
            -0.106479727,
            -0.107209273,
            -0.107938826,
            -0.108668372,
            -0.109397918,
            -0.110127464,
            -0.11085701,
            -0.111586563,
            -0.112316109,
            -0.113045663,
            -0.113775216,
            -0.114504769,
            -0.115234315,
            -0.115963869,
            -0.116693422,
            -0.117422968,
            -0.118152522,
            -0.118882075,
            -0.119611628,
            -0.120341174,
            -0.121070728,
            -0.121800281,
            -0.122529835,
            -0.12325938,
            -0.124601677,
            -0.126303971,
            -0.12800625,
            -0.129708529,
            -0.131410822,
            -0.133113101,
            -0.13481538,
            -0.136517674,
            -0.138219953,
            -0.139922231,
            -0.141624525,
            -0.143326804,
            -0.145029098,
            -0.146731377,
            -0.148433656,
            -0.150135949,
            -0.151715681,
            -0.153174773,
            -0.15463388,
            -0.156092972,
            -0.157552078,
            -0.15901117,
            -0.160470277,
            -0.161929369,
            -0.163388476,
            -0.164847568,
            -0.166306674,
            -0.167765766,
            -0.169224873,
            -0.170683965,
            -0.172143072,
            -0.173602164,
            -0.175061271,
            -0.176520362,
            -0.177979469,
            -0.179438561,
            -0.180897653,
            -0.18235676,
            -0.183815867,
            -0.185274959,
            -0.186734051,
            -0.188193157,
            -0.189652249,
            -0.191111356,
            -0.192570448,
            -0.194029555,
            -0.195488647,
            -0.196947753,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204
          ],
          [
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225576356,
            -0.226305902,
            -0.227035448,
            -0.227764994,
            -0.228494555,
            -0.229224101,
            -0.229953647,
            -0.230683193,
            -0.231412753,
            -0.232142299,
            -0.232871845,
            -0.233601391,
            -0.234330952,
            -0.235060498,
            -0.235790044,
            -0.23651959,
            -0.237249136,
            -0.237978697,
            -0.238708243,
            -0.239437789,
            -0.240167335,
            -0.240896896,
            -0.241626441,
            -0.242355987,
            -0.243085533,
            -0.243815094,
            -0.24454464,
            -0.245274186,
            -0.246003732,
            -0.246733293,
            -0.247462839,
            -0.248192385,
            -0.248921931,
            -0.249651492,
            -0.250381052,
            -0.251110584,
            -0.251840144,
            -0.252569705,
            -0.253299236,
            -0.254028797,
            -0.254758358,
            -0.255487889,
            -0.25621745,
            -0.256947011,
            -0.257676542,
            -0.258406103,
            -0.259135664,
            -0.259865195,
            -0.260594755,
            -0.261504292,
            -0.26247704,
            -0.263449758,
            -0.264422506,
            -0.265395224,
            -0.266367942,
            -0.26734069,
            -0.268313408,
            -0.269286156,
            -0.270258874,
            -0.271231622,
            -0.27220434,
            -0.273177087,
            -0.274149805,
            -0.275122523,
            -0.276095271,
            -0.27691865,
            -0.277648181,
            -0.278377742,
            -0.279107302,
            -0.279836833,
            -0.280566394,
            -0.281295925,
            -0.282025486,
            -0.282755047,
            -0.283484578,
            -0.284214139,
            -0.2849437,
            -0.285673231,
            -0.286402792,
            -0.287132323,
            -0.287861884,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.287701041,
            -0.28697148,
            -0.286241949,
            -0.285512388,
            -0.284782827,
            -0.284053296,
            -0.283323735,
            -0.282594204,
            -0.281864643,
            -0.281135082,
            -0.280405551,
            -0.27967599,
            -0.278946459,
            -0.278216898,
            -0.277487338,
            -0.276757807,
            -0.275438488,
            -0.273736209,
            -0.2720339,
            -0.270331621,
            -0.268629342,
            -0.266927063,
            -0.265224785,
            -0.263522506,
            -0.261820227,
            -0.260117948,
            -0.258415669,
            -0.256713361,
            -0.255011082,
            -0.253308803,
            -0.251606524,
            -0.249904245,
            -0.247968346,
            -0.245779708,
            -0.243591055,
            -0.241402403,
            -0.239213765,
            -0.237025112,
            -0.234836459,
            -0.232647806,
            -0.230459169,
            -0.228270516,
            -0.226081863,
            -0.22389321,
            -0.221704572,
            -0.21951592,
            -0.217327267,
            -0.215138614,
            -0.213122308,
            -0.211420029,
            -0.209717736,
            -0.208015457,
            -0.206313178,
            -0.204610899,
            -0.202908605,
            -0.201206326,
            -0.199504048,
            -0.197801769,
            -0.19609949,
            -0.194397196,
            -0.192694917,
            -0.190992638,
            -0.18929036,
            -0.187588066,
            -0.185941324,
            -0.184482217,
            -0.183023125,
            -0.181564018,
            -0.180104926,
            -0.178645819,
            -0.177186728,
            -0.175727621,
            -0.174268529,
            -0.172809422,
            -0.17135033,
            -0.169891223,
            -0.168432131,
            -0.166973025,
            -0.165513933,
            -0.164054826,
            -0.162496164,
            -0.160064325,
            -0.1576325,
            -0.15520066,
            -0.152768821,
            -0.150336996,
            -0.147905156,
            -0.145473331,
            -0.143041492,
            -0.140609652,
            -0.138177827,
            -0.135745987,
            -0.133314162,
            -0.130882323,
            -0.128450483,
            -0.126018658,
            -0.123586819,
            -0.121392429,
            -0.119203776,
            -0.117015131,
            -0.114826478,
            -0.112637833,
            -0.11044918,
            -0.108260535,
            -0.106071889,
            -0.103883237,
            -0.101694584,
            -0.0995059386,
            -0.0973172933,
            -0.0951286405,
            -0.0929399878,
            -0.0907513425,
            -0.0885626972,
            -0.0867876485,
            -0.0850853696,
            -0.0833830833,
            -0.0816808045,
            -0.0799785182,
            -0.0782762393,
            -0.076573953,
            -0.0748716742,
            -0.0731693879,
            -0.071467109,
            -0.0697648227,
            -0.0680625439,
            -0.066360265,
            -0.0646579787,
            -0.0629556924,
            -0.0612534136,
            -0.0597272962,
            -0.0582681969,
            -0.0568090975,
            -0.0553499982,
            -0.0538908988,
            -0.0524317995,
            -0.0509727001,
            -0.0495136008,
            -0.0480545014,
            -0.0465954021,
            -0.0451363027,
            -0.0436772034,
            -0.042218104,
            -0.0407590047,
            -0.0392999053,
            -0.0378408059,
            -0.0363817066,
            -0.0349226072,
            -0.0334635079,
            -0.0320044123,
            -0.030545311,
            -0.0290862136,
            -0.0276271142,
            -0.0261680149,
            -0.0247089155,
            -0.0232498161,
            -0.0217907168,
            -0.0203316174,
            -0.0188725181,
            -0.0174134187,
            -0.0159543194,
            -0.01449522,
            -0.0132659003,
            -0.0122931683,
            -0.0113204354,
            -0.0103477025,
            -0.00937496964,
            -0.00840223674,
            -0.00742950384,
            -0.0064567714,
            -0.00548403896,
            -0.00451130606,
            -0.00353857316,
            -0.00256584026,
            -0.00159310736,
            -0.000620374456,
            0.000352358446,
            0.00132509135,
            0.00246632867,
            0.00392542779,
            0.00538452715,
            0.00684362603,
            0.00830272585,
            0.0097618252,
            0.0112209236,
            0.012680023,
            0.0141391223,
            0.0155982217,
            0.0170573201,
            0.0185164195,
            0.0199755188,
            0.0214346182,
            0.0228937175,
            0.0243528169,
            0.0256510694,
            0.026380619,
            0.0271101687,
            0.0278397184,
            0.0285692681,
            0.0292988177,
            0.0300283674,
            0.0307579171,
            0.0314874649,
            0.0322170183,
            0.0329465643,
            0.0336761177,
            0.0344056636,
            0.0351352133,
            0.035864763,
            0.0365943126,
            0.0373238623,
            0.038053412,
            0.0387829617,
            0.0395125113,
            0.040242061,
            0.0409716107,
            0.0417011604,
            0.04243071,
            0.0431602597,
            0.0438898094,
            0.0446193591,
            0.0453489088,
            0.0460784584,
            0.0468080081,
            0.0475375578,
            0.0482671075,
            0.0489966571,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0496342927,
            0.0503638461,
            0.0510933921,
            0.0518229418,
            0.0525524914,
            0.0532820411,
            0.0540115908,
            0.0547411405,
            0.0554706901,
            0.0562002398,
            0.0569297895,
            0.0576593392,
            0.0583888888,
            0.0591184385,
            0.0598479882,
            0.0605775379,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0605373271,
            0.0598077774,
            0.0590782277,
            0.0583486781,
            0.0576191284,
            0.0568895787,
            0.056160029,
            0.0554304793,
            0.0547009297,
            0.05397138,
            0.0532418303,
            0.0525122806,
            0.051782731,
            0.0510531813,
            0.0503236316,
            0.0495940819,
            0.0488645323,
            0.0481349826,
            0.0474054329,
            0.0466758832,
            0.0459463336,
            0.0452167839,
            0.0444872379,
            0.0437576845,
            0.0430281386,
            0.0422985889,
            0.0415690392,
            0.0408394858,
            0.0401099399,
            0.0393803902,
            0.0386508405,
            0.0379212908,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0379557572,
            0.0386853069,
            0.0394148566,
            0.0401444063,
            0.0408739559,
            0.0416035056,
            0.0423330553,
            0.043062605,
            0.0437921546,
            0.0445217043,
            0.0452512503,
            0.0459808037,
            0.0467103496,
            0.047439903,
            0.048169449,
            0.0488990024,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0494447276,
            0.0501742773,
            0.050903827,
            0.0516333766,
            0.0523629263,
            0.053092476,
            0.0538220257,
            0.0545515753,
            0.055281125,
            0.056010671,
            0.0567402244,
            0.0574697703,
            0.0581993237,
            0.0589288697,
            0.0596584231,
            0.060387969,
            0.0612285808,
            0.0622013137,
            0.0631740466,
            0.0641467795,
            0.0651195124,
            0.0660922453,
            0.0670649782,
            0.0680377111,
            0.069010444,
            0.0699831769,
            0.0709559098,
            0.0719286427,
            0.0729013756,
            0.0738741085,
            0.0748468414,
            0.0758195743,
            0.0769531503,
            0.0784122497,
            0.079871349,
            0.0813304484,
            0.0827895477,
            0.0842486471,
            0.0857077464,
            0.0871668458,
            0.0886259452,
            0.0900850445,
            0.0915441439,
            0.0930032432,
            0.0944623426,
            0.0959214419,
            0.0973805413,
            0.0988396406,
            0.100497879,
            0.102929711,
            0.105361544,
            0.107793376,
            0.110225208,
            0.11265704,
            0.115088873,
            0.117520705,
            0.119952537,
            0.122384369,
            0.124816194,
            0.127248034,
            0.129679859,
            0.132111698,
            0.134543523,
            0.136975363,
            0.139330596,
            0.140789703,
            0.142248809,
            0.143707901,
            0.145167008,
            0.146626115,
            0.148085222,
            0.149544314,
            0.15100342,
            0.152462527,
            0.153921634,
            0.155380726,
            0.156839833,
            0.158298939,
            0.159758031,
            0.161217138,
            0.162676245,
            0.163440257,
            0.164169803,
            0.164899349,
            0.165628895,
            0.166358441,
            0.167087987,
            0.167817533,
            0.168547079,
            0.169276625,
            0.170006171,
            0.170735717,
            0.171465263,
            0.172194809,
            0.172924355,
            0.173653901,
            0.174383447,
            0.175112993,
            0.175842538,
            0.176572099,
            0.177301645,
            0.178031191,
            0.178760737,
            0.179490298,
            0.180219844,
            0.18094939,
            0.181678936,
            0.182408497,
            0.183138043,
            0.183867589,
            0.184597135,
            0.185326695,
            0.186056241,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186588556,
            0.187561303,
            0.188534036,
            0.189506769,
            0.190479502,
            0.19145225,
            0.192424983,
            0.193397716,
            0.194370449,
            0.195343196,
            0.196315929,
            0.197288662,
            0.198261395,
            0.199234128,
            0.200206876,
            0.201179609,
            0.202104479,
            0.202834025,
            0.203563571,
            0.204293117,
            0.205022663,
            0.205752209,
            0.206481755,
            0.207211301,
            0.207940847,
            0.208670393,
            0.209399939,
            0.210129485,
            0.21085903,
            0.211588576,
            0.212318122,
            0.213047668,
            0.213777214,
            0.21450676,
            0.215236306,
            0.215965852,
            0.216695413,
            0.217424959,
            0.218154505,
            0.218884051,
            0.219613612,
            0.220343158,
            0.221072704,
            0.22180225,
            0.222531796,
            0.223261356,
            0.223990902,
            0.224720448,
            0.225449994,
            0.226179555,
            0.226909101,
            0.227638647,
            0.228368193,
            0.229097754,
            0.2298273,
            0.230556846,
            0.231286392,
            0.232015952,
            0.232745498,
            0.233475044,
            0.23420459,
            0.234934151,
            0.235663697,
            0.236393243,
            0.237122789,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.23776044,
            0.238489985,
            0.239219531,
            0.239949077,
            0.240678638,
            0.241408184,
            0.24213773,
            0.242867276,
            0.243596822,
            0.244326383,
            0.245055929,
            0.245785475,
            0.246515021,
            0.247244582,
            0.247974128,
            0.248703673,
            0.249433234,
            0.25016278,
            0.250892341,
            0.251621902,
            0.252351433,
            0.253080994,
            0.253810555,
            0.254540086,
            0.255269647,
            0.255999207,
            0.256728768,
            0.257458329,
            0.25818786,
            0.258917421,
            0.259646982,
            0.260376513,
            0.261213303,
            0.26218605,
            0.263158798,
            0.264131516,
            0.265104264,
            0.266076982,
            0.26704973,
            0.268022478,
            0.268995196,
            0.269967943,
            0.270940661,
            0.271913409,
            0.272886157,
            0.273858875,
            0.274831623,
            0.275804371,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276516676,
            0.277246237,
            0.277975768,
            0.278705329,
            0.27943486,
            0.280164421,
            0.280893952,
            0.281623483,
            0.282353044,
            0.283082604,
            0.283812135,
            0.284541667,
            0.285271227,
            0.286000788,
            0.286730319,
            0.28745985,
            0.288189411,
            0.288918972,
            0.289648503,
            0.290378064,
            0.291107595,
            0.291837156,
            0.292566717,
            0.293296248,
            0.294025809,
            0.294755369,
            0.2954849,
            0.296214461,
            0.296943992,
            0.297673553,
            0.298403114,
            0.299132645,
            0.299862206,
            0.299408376,
            0.298678845,
            0.297949284,
            0.297219753,
            0.296490192,
            0.295760632,
            0.295031101,
            0.29430154,
            0.293571979,
            0.292842448,
            0.292112887,
            0.291383356,
            0.290653795,
            0.289924234,
            0.289194703,
            0.288465142,
            0.287735611,
            0.28700605,
            0.286276519,
            0.285546958,
            0.284817427,
            0.284087867,
            0.283358335,
            0.282628775,
            0.281899244,
            0.281169683,
            0.280440152,
            0.279710591,
            0.27898106,
            0.278251499,
            0.277521968,
            0.276792407,
            0.275926918,
            0.27495417,
            0.273981422,
            0.273008704,
            0.272035956,
            0.271063238,
            0.270090491,
            0.269117743,
            0.268145025,
            0.267172277,
            0.266199529,
            0.265226811,
            0.264254063,
            0.263281345,
            0.262308598,
            0.26133585,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260560364,
            0.259830803,
            0.259101242,
            0.258371681,
            0.25764215,
            0.256912589,
            0.256183028,
            0.255453467,
            0.254723936,
            0.253994375,
            0.253264815,
            0.252535254,
            0.251805723,
            0.251076162,
            0.250346601,
            0.249617055,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.248341769,
            0.247612223,
            0.246882677,
            0.246153131,
            0.24542357,
            0.244694024,
            0.243964478,
            0.243234932,
            0.242505372,
            0.241775826,
            0.24104628,
            0.240316734,
            0.239587173,
            0.238857627,
            0.238128081,
            0.237398535,
            0.236083046,
            0.234623939,
            0.233164847,
            0.23170574,
            0.230246648,
            0.228787541,
            0.227328449,
            0.225869343,
            0.224410251,
            0.222951144,
            0.221492052,
            0.220032945,
            0.218573853,
            0.217114747,
            0.215655655,
            0.214196563,
            0.212572783,
            0.210870504,
            0.209168211,
            0.207465932,
            0.205763653,
            0.204061374,
            0.20235908,
            0.200656801,
            0.198954523,
            0.197252244,
            0.195549965,
            0.193847671,
            0.192145392,
            0.190443113,
            0.18874082,
            0.187038541,
            0.185872421,
            0.18514286,
            0.184413314,
            0.183683768,
            0.182954222,
            0.182224661,
            0.181495115,
            0.180765569,
            0.180036023,
            0.179306462,
            0.178576916,
            0.177847371,
            0.177117825,
            0.176388264,
            0.175658718,
            0.174929172,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174291536,
            0.17356199,
            0.172832444,
            0.172102898,
            0.171373352,
            0.170643806,
            0.169914261,
            0.169184715,
            0.168455169,
            0.167725623,
            0.166996077,
            0.166266531,
            0.165536985,
            0.164807439,
            0.164077893,
            0.163348347,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163325369,
            0.164054915,
            0.164784461,
            0.165514007,
            0.166243553,
            0.166973099,
            0.167702645,
            0.168432191,
            0.169161737,
            0.169891283,
            0.170620829,
            0.171350375,
            0.172079921,
            0.172809467,
            0.173539013,
            0.174268559,
            0.175649151,
            0.17735143,
            0.179053724,
            0.180756003,
            0.182458296,
            0.184160575,
            0.185862869,
            0.187565148,
            0.189267442,
            0.19096972,
            0.192672014,
            0.194374293,
            0.196076587,
            0.197778866,
            0.199481159,
            0.201183438,
            0.202357233,
            0.203086779,
            0.203816324,
            0.20454587,
            0.205275416,
            0.206004962,
            0.206734508,
            0.207464054,
            0.2081936,
            0.208923146,
            0.209652692,
            0.210382238,
            0.211111784,
            0.21184133,
            0.212570876,
            0.213300422,
            0.214334428,
            0.21579352,
            0.217252627,
            0.218711719,
            0.220170826,
            0.221629918,
            0.223089024,
            0.224548116,
            0.226007223,
            0.227466315,
            0.228925407,
            0.230384514,
            0.231843621,
            0.233302712,
            0.234761804,
            0.236220911,
            0.237680018,
            0.23913911,
            0.240598217,
            0.242057323,
            0.243516415,
            0.244975522,
            0.246434629,
            0.247893736,
            0.249352828,
            0.250811934,
            0.252271026,
            0.253730148,
            0.25518924,
            0.256648362,
            0.258107454,
            0.259566545,
            0.261065871,
            0.262768149,
            0.264470428,
            0.266172707,
            0.267874986,
            0.269577265,
            0.271279573,
            0.272981852,
            0.274684131,
            0.27638641,
            0.278088689,
            0.279790968,
            0.281493247,
            0.283195525,
            0.284897834,
            0.286600113,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.287569016,
            0.286839455,
            0.286109924,
            0.285380363,
            0.284650832,
            0.283921272,
            0.283191741,
            0.28246218,
            0.281732649,
            0.281003088,
            0.280273557,
            0.279543996,
            0.278814465,
            0.278084904,
            0.277355373,
            0.276625812,
            0.275130332,
            0.273428053,
            0.271725744,
            0.270023465,
            0.268321186,
            0.266618878,
            0.264916599,
            0.26321432,
            0.261512011,
            0.259809732,
            0.258107424,
            0.256405145,
            0.254702866,
            0.253000557,
            0.251298279,
            0.249595985,
            0.24757202,
            0.245383367,
            0.243194714,
            0.241006061,
            0.238817424,
            0.236628771,
            0.234440118,
            0.232251465,
            0.230062827,
            0.227874175,
            0.225685522,
            0.223496884,
            0.221308231,
            0.219119579,
            0.216930926,
            0.214742273,
            0.213334888,
            0.212605342,
            0.211875796,
            0.21114625,
            0.210416704,
            0.209687158,
            0.208957613,
            0.208228067,
            0.207498521,
            0.206768975,
            0.206039429,
            0.205309883,
            0.204580337,
            0.203850791,
            0.203121245,
            0.202391699,
            0.201562569,
            0.200589836,
            0.199617103,
            0.19864437,
            0.197671637,
            0.196698889,
            0.195726156,
            0.194753423,
            0.19378069,
            0.192807943,
            0.19183521,
            0.190862477,
            0.189889744,
            0.188916996,
            0.187944263,
            0.18697153,
            0.185860932,
            0.184401825,
            0.182942733,
            0.181483641,
            0.180024549,
            0.178565443,
            0.177106351,
            0.175647259,
            0.174188167,
            0.172729075,
            0.171269968,
            0.169810876,
            0.168351784,
            0.166892678,
            0.165433586,
            0.163974494,
            0.162515402,
            0.161056295,
            0.159597188,
            0.158138096,
            0.15667899,
            0.155219883,
            0.153760776,
            0.152301684,
            0.150842577,
            0.14938347,
            0.147924364,
            0.146465272,
            0.145006165,
            0.143547058,
            0.142087951,
            0.140628859,
            0.139185071,
            0.138212338,
            0.137239605,
            0.136266872,
            0.135294139,
            0.134321406,
            0.133348674,
            0.132375941,
            0.131403208,
            0.130430475,
            0.129457742,
            0.128485009,
            0.127512276,
            0.126539543,
            0.12556681,
            0.124594077,
            0.123621345,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123052642,
            0.122323096,
            0.121593542,
            0.120863996,
            0.120134443,
            0.119404897,
            0.118675344,
            0.117945798,
            0.117216244,
            0.116486698,
            0.115757145,
            0.115027599,
            0.114298046,
            0.1135685,
            0.112838946,
            0.1121094,
            0.111379847,
            0.110650301,
            0.109920748,
            0.109191202,
            0.108461648,
            0.107732102,
            0.107002549,
            0.106273003,
            0.10554345,
            0.104813904,
            0.10408435,
            0.103354804,
            0.102625251,
            0.101895705,
            0.101166151,
            0.100436606,
            0.0994140878,
            0.0979549885,
            0.0964958891,
            0.0950367898,
            0.0935776904,
            0.0921185911,
            0.0906594917,
            0.0892003924,
            0.087741293,
            0.0862821937,
            0.0848230943,
            0.083363995,
            0.0819048956,
            0.0804457963,
            0.0789866969,
            0.0775275975,
            0.0762025341,
            0.0752298012,
            0.0742570758,
            0.0732843429,
            0.07231161,
            0.0713388771,
            0.0703661442,
            0.0693934113,
            0.0684206784,
            0.0674479455,
            0.0664752126,
            0.0655024797,
            0.0645297468,
            0.0635570139,
            0.062584281,
            0.0616115481,
            0.0606751963,
            0.0599456467,
            0.059216097,
            0.0584865473,
            0.0577569976,
            0.057027448,
            0.0562978983,
            0.0555683486,
            0.0548387989,
            0.0541092493,
            0.0533796996,
            0.0526501499,
            0.0519206002,
            0.0511910506,
            0.0504615009,
            0.0497319512,
            0.0490024015,
            0.0482728519,
            0.0475433022,
            0.0468137525,
            0.0460842028,
            0.0453546531,
            0.0446251035,
            0.0438955538,
            0.0431660041,
            0.0424364544,
            0.0417069048,
            0.0409773551,
            0.0402478054,
            0.0395182557,
            0.0387887061,
            0.0380591564,
            0.0373296067,
            0.036600057,
            0.0358705074,
            0.0351409577,
            0.034411408,
            0.0336818583,
            0.0329523087,
            0.0322227627,
            0.0314932093,
            0.0307636615,
            0.0300341118,
            0.0293045621,
            0.0285750125,
            0.0278454628,
            0.027115915,
            0.0263863653,
            0.0256568156,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254787356,
            0.0247491859,
            0.0240196362,
            0.0232900865,
            0.0225605369,
            0.0218309872,
            0.0211014375,
            0.0203718878,
            0.0196423382,
            0.0189127885,
            0.0181832388,
            0.0174536891,
            0.0167241395,
            0.0159945898,
            0.015265041,
            0.0145354914,
            0.0138059417,
            0.0122108897,
            0.0105086081,
            0.0088063255,
            0.00710404292,
            0.00540176034,
            0.00369947776,
            0.00199719612,
            0.000294913538,
            -0.00140736904,
            -0.00310965069,
            -0.00481193326,
            -0.00651421584,
            -0.00821649842,
            -0.009918781,
            -0.0116210636,
            -0.0133233462,
            -0.0142826745,
            -0.0150122242,
            -0.0157417729,
            -0.0164713226,
            -0.0172008723,
            -0.017930422,
            -0.0186599717,
            -0.0193895213,
            -0.020119071,
            -0.0208486207,
            -0.0215781704,
            -0.02230772,
            -0.0230372697,
            -0.0237668194,
            -0.0244963691,
            -0.0252259187,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0258635562,
            -0.0265931059,
            -0.0273226555,
            -0.0280522052,
            -0.0287817549,
            -0.0295113046,
            -0.0302408542,
            -0.0309704039,
            -0.0316999517,
            -0.0324295014,
            -0.0331590511,
            -0.0338886008,
            -0.0346181504,
            -0.0353477001,
            -0.0360772498,
            -0.0368067995,
            -0.0375363491,
            -0.0382658988,
            -0.0389954485,
            -0.0397249982,
            -0.0404545479,
            -0.0411840975,
            -0.0419136472,
            -0.0426431969,
            -0.0433727466,
            -0.0441022962,
            -0.0448318459,
            -0.0455613956,
            -0.0462909453,
            -0.0470204949,
            -0.0477500446,
            -0.0484795943,
            -0.0494619012,
            -0.0511641838,
            -0.0528664663,
            -0.0545687489,
            -0.0562710315,
            -0.0579733104,
            -0.0596755967,
            -0.0613778755,
            -0.0630801618,
            -0.0647824407,
            -0.066484727,
            -0.0681870058,
            -0.0698892921,
            -0.071591571,
            -0.0732938498,
            -0.0749961361,
            -0.0765682086,
            -0.077297762,
            -0.078027308,
            -0.0787568614,
            -0.0794864073,
            -0.0802159607,
            -0.0809455067,
            -0.0816750601,
            -0.082404606,
            -0.0831341594,
            -0.0838637054,
            -0.0845932588,
            -0.0853228047,
            -0.0860523582,
            -0.0867819041,
            -0.0875114501,
            -0.0882410035,
            -0.0889705569,
            -0.0897001028,
            -0.0904296488,
            -0.0911592022,
            -0.0918887481,
            -0.0926183015,
            -0.0933478475,
            -0.0940774009,
            -0.0948069468,
            -0.0955365002,
            -0.0962660462,
            -0.0969955996,
            -0.0977251455,
            -0.0984546989,
            -0.0991842449,
            -0.0999137983,
            -0.100643344,
            -0.10137289,
            -0.102102444,
            -0.10283199,
            -0.103561535,
            -0.104291081,
            -0.105020635,
            -0.105750181,
            -0.106479727,
            -0.107209273,
            -0.107938826,
            -0.108668372,
            -0.109397918,
            -0.110127464,
            -0.11085701,
            -0.111586563,
            -0.112316109,
            -0.113045663,
            -0.113775216,
            -0.114504769,
            -0.115234315,
            -0.115963869,
            -0.116693422,
            -0.117422968,
            -0.118152522,
            -0.118882075,
            -0.119611628,
            -0.120341174,
            -0.121070728,
            -0.121800281,
            -0.122529835,
            -0.12325938,
            -0.124601677,
            -0.126303971,
            -0.12800625,
            -0.129708529,
            -0.131410822,
            -0.133113101,
            -0.13481538,
            -0.136517674,
            -0.138219953,
            -0.139922231,
            -0.141624525,
            -0.143326804,
            -0.145029098,
            -0.146731377,
            -0.148433656,
            -0.150135949,
            -0.151715681,
            -0.153174773,
            -0.15463388,
            -0.156092972,
            -0.157552078,
            -0.15901117,
            -0.160470277,
            -0.161929369,
            -0.163388476,
            -0.164847568,
            -0.166306674,
            -0.167765766,
            -0.169224873,
            -0.170683965,
            -0.172143072,
            -0.173602164,
            -0.175061271,
            -0.176520362,
            -0.177979469,
            -0.179438561,
            -0.180897653,
            -0.18235676,
            -0.183815867,
            -0.185274959,
            -0.186734051,
            -0.188193157,
            -0.189652249,
            -0.191111356,
            -0.192570448,
            -0.194029555,
            -0.195488647,
            -0.196947753,
            -0.198284298,
            -0.199257031,
            -0.200229764,
            -0.201202497,
            -0.20217523,
            -0.203147963,
            -0.204120696,
            -0.205093428,
            -0.206066161,
            -0.207038894,
            -0.208011627,
            -0.20898436,
            -0.209957093,
            -0.210929826,
            -0.211902559,
            -0.212875292,
            -0.213817388,
            -0.214546934,
            -0.215276495,
            -0.216006041,
            -0.216735587,
            -0.217465132,
            -0.218194693,
            -0.218924239,
            -0.219653785,
            -0.220383331,
            -0.221112892,
            -0.221842438,
            -0.222571984,
            -0.22330153,
            -0.224031091,
            -0.224760637
          ],
          [
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.236709163,
            -0.235979617,
            -0.235250056,
            -0.23452051,
            -0.233790964,
            -0.233061418,
            -0.232331857,
            -0.231602311,
            -0.230872765,
            -0.230143219,
            -0.229413658,
            -0.228684112,
            -0.227954566,
            -0.227225021,
            -0.226495475,
            -0.225765914,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225312099,
            -0.224582553,
            -0.223853007,
            -0.223123461,
            -0.2223939,
            -0.221664354,
            -0.220934808,
            -0.220205262,
            -0.219475701,
            -0.218746156,
            -0.21801661,
            -0.217287064,
            -0.216557503,
            -0.215827957,
            -0.215098411,
            -0.214368865,
            -0.213811651,
            -0.214541197,
            -0.215270743,
            -0.216000289,
            -0.21672985,
            -0.217459396,
            -0.218188941,
            -0.218918487,
            -0.219648048,
            -0.220377594,
            -0.22110714,
            -0.221836686,
            -0.222566247,
            -0.223295793,
            -0.224025339,
            -0.224754885,
            -0.225484431,
            -0.226213992,
            -0.226943538,
            -0.227673084,
            -0.228402629,
            -0.22913219,
            -0.229861736,
            -0.230591282,
            -0.231320828,
            -0.232050389,
            -0.232779935,
            -0.233509481,
            -0.234239027,
            -0.234968588,
            -0.235698134,
            -0.23642768,
            -0.237157226,
            -0.23851867,
            -0.239977777,
            -0.241436884,
            -0.242895976,
            -0.244355083,
            -0.245814174,
            -0.247273281,
            -0.248732388,
            -0.25019148,
            -0.251650572,
            -0.253109694,
            -0.254568785,
            -0.256027877,
            -0.257486999,
            -0.258946091,
            -0.260405183,
            -0.261504292,
            -0.26247704,
            -0.263449758,
            -0.264422506,
            -0.265395224,
            -0.266367942,
            -0.26734069,
            -0.268313408,
            -0.269286156,
            -0.270258874,
            -0.271231622,
            -0.27220434,
            -0.273177087,
            -0.274149805,
            -0.275122523,
            -0.276095271,
            -0.27691865,
            -0.277648181,
            -0.278377742,
            -0.279107302,
            -0.279836833,
            -0.280566394,
            -0.281295925,
            -0.282025486,
            -0.282755047,
            -0.283484578,
            -0.284214139,
            -0.2849437,
            -0.285673231,
            -0.286402792,
            -0.287132323,
            -0.287861884,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288407624,
            -0.289137155,
            -0.289866716,
            -0.290596247,
            -0.291325808,
            -0.292055368,
            -0.292784899,
            -0.29351446,
            -0.294244021,
            -0.294973552,
            -0.295703113,
            -0.296432644,
            -0.297162205,
            -0.297891766,
            -0.298621297,
            -0.299350858,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299373835,
            -0.298644274,
            -0.297914743,
            -0.297185183,
            -0.296455622,
            -0.295726091,
            -0.29499653,
            -0.294266999,
            -0.293537438,
            -0.292807877,
            -0.292078346,
            -0.291348785,
            -0.290619224,
            -0.289889693,
            -0.289160132,
            -0.288430601,
            -0.287701041,
            -0.28697148,
            -0.286241949,
            -0.285512388,
            -0.284782827,
            -0.284053296,
            -0.283323735,
            -0.282594204,
            -0.281864643,
            -0.281135082,
            -0.280405551,
            -0.27967599,
            -0.278946459,
            -0.278216898,
            -0.277487338,
            -0.276757807,
            -0.275880814,
            -0.274908066,
            -0.273935348,
            -0.2729626,
            -0.271989882,
            -0.271017164,
            -0.270044416,
            -0.269071698,
            -0.26809895,
            -0.267126232,
            -0.266153485,
            -0.265180767,
            -0.264208049,
            -0.263235301,
            -0.262262583,
            -0.261289835,
            -0.259733081,
            -0.257544428,
            -0.255355775,
            -0.253167123,
            -0.25097847,
            -0.248789832,
            -0.246601179,
            -0.244412526,
            -0.242223889,
            -0.240035236,
            -0.237846583,
            -0.23565793,
            -0.233469278,
            -0.231280625,
            -0.229091972,
            -0.226903319,
            -0.224887013,
            -0.223184735,
            -0.221482441,
            -0.219780162,
            -0.218077883,
            -0.216375604,
            -0.214673311,
            -0.212971032,
            -0.211268753,
            -0.209566474,
            -0.207864195,
            -0.206161901,
            -0.204459623,
            -0.202757344,
            -0.201055065,
            -0.199352771,
            -0.197539434,
            -0.195350781,
            -0.193162143,
            -0.19097349,
            -0.188784838,
            -0.186596185,
            -0.184407547,
            -0.182218894,
            -0.180030242,
            -0.177841589,
            -0.175652951,
            -0.173464298,
            -0.171275645,
            -0.169086993,
            -0.166898355,
            -0.164709702,
            -0.162496164,
            -0.160064325,
            -0.1576325,
            -0.15520066,
            -0.152768821,
            -0.150336996,
            -0.147905156,
            -0.145473331,
            -0.143041492,
            -0.140609652,
            -0.138177827,
            -0.135745987,
            -0.133314162,
            -0.130882323,
            -0.128450483,
            -0.126018658,
            -0.123586819,
            -0.121392429,
            -0.119203776,
            -0.117015131,
            -0.114826478,
            -0.112637833,
            -0.11044918,
            -0.108260535,
            -0.106071889,
            -0.103883237,
            -0.101694584,
            -0.0995059386,
            -0.0973172933,
            -0.0951286405,
            -0.0929399878,
            -0.0907513425,
            -0.0885626972,
            -0.0876148567,
            -0.0868853033,
            -0.0861557573,
            -0.0854262039,
            -0.084696658,
            -0.0839671046,
            -0.0832375586,
            -0.0825080052,
            -0.0817784593,
            -0.0810489058,
            -0.0803193599,
            -0.0795898065,
            -0.0788602605,
            -0.0781307071,
            -0.0774011612,
            -0.0766716078,
            -0.0752374008,
            -0.073535122,
            -0.0718328431,
            -0.0701305568,
            -0.068428278,
            -0.0667259917,
            -0.0650237128,
            -0.0633214265,
            -0.0616191477,
            -0.0599168614,
            -0.0582145825,
            -0.0565122962,
            -0.0548100173,
            -0.053107731,
            -0.0514054522,
            -0.0497031696,
            -0.0481464118,
            -0.0466873124,
            -0.0452282131,
            -0.0437691174,
            -0.0423100181,
            -0.0408509187,
            -0.0393918194,
            -0.03793272,
            -0.0364736207,
            -0.0350145213,
            -0.033555422,
            -0.0320963226,
            -0.0306372233,
            -0.0291781239,
            -0.0277190246,
            -0.0262599252,
            -0.0251454953,
            -0.0244159456,
            -0.023686396,
            -0.0229568463,
            -0.0222272966,
            -0.0214977488,
            -0.0207681991,
            -0.0200386494,
            -0.0193090998,
            -0.0185795501,
            -0.0178500004,
            -0.0171204507,
            -0.0163909011,
            -0.0156613514,
            -0.0149318017,
            -0.014202252,
            -0.0131356921,
            -0.0114334095,
            -0.00973112788,
            -0.0080288453,
            -0.00632656273,
            -0.00462428015,
            -0.0029219985,
            -0.00121971592,
            0.000482566655,
            0.00218484923,
            0.00388713181,
            0.00558941439,
            0.00729169697,
            0.00899397768,
            0.0106962603,
            0.0123985428,
            0.0138863651,
            0.0146159139,
            0.0153454635,
            0.0160750132,
            0.0168045629,
            0.0175341126,
            0.0182636622,
            0.0189932119,
            0.0197227616,
            0.0204523113,
            0.0211818609,
            0.0219114106,
            0.0226409603,
            0.0233705081,
            0.0241000578,
            0.0248296075,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0261048842,
            0.0268344339,
            0.0275639836,
            0.0282935333,
            0.0290230829,
            0.0297526326,
            0.0304821823,
            0.031211732,
            0.0319412798,
            0.0326708294,
            0.0334003791,
            0.0341299288,
            0.0348594785,
            0.0355890281,
            0.0363185778,
            0.0370481275,
            0.0377776772,
            0.0385072269,
            0.0392367765,
            0.0399663262,
            0.0406958759,
            0.0414254256,
            0.0421549752,
            0.0428845249,
            0.0436140746,
            0.0443436243,
            0.0450731739,
            0.0458027236,
            0.0465322733,
            0.047261823,
            0.0479913726,
            0.0487209223,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0487726219,
            0.0480430722,
            0.0473135225,
            0.0465839729,
            0.0458544232,
            0.0451248735,
            0.0443953238,
            0.0436657742,
            0.0429362245,
            0.0422066748,
            0.0414771251,
            0.0407475755,
            0.0400180258,
            0.0392884761,
            0.0385589264,
            0.0378293768,
            0.0370998271,
            0.0363702774,
            0.0356407277,
            0.0349111781,
            0.0341816284,
            0.0334520787,
            0.0327225327,
            0.0319929793,
            0.0312634334,
            0.0305338819,
            0.0298043322,
            0.0290747825,
            0.0283452347,
            0.027615685,
            0.0268861353,
            0.0261565857,
            0.0255534146,
            0.0262829624,
            0.0270125121,
            0.0277420618,
            0.0284716114,
            0.0292011611,
            0.0299307108,
            0.0306602605,
            0.0313898101,
            0.0321193598,
            0.0328489095,
            0.0335784592,
            0.0343080088,
            0.0350375585,
            0.0357671082,
            0.0364966579,
            0.0372262076,
            0.0379557572,
            0.0386853069,
            0.0394148566,
            0.0401444063,
            0.0408739559,
            0.0416035056,
            0.0423330553,
            0.043062605,
            0.0437921546,
            0.0445217043,
            0.0452512503,
            0.0459808037,
            0.0467103496,
            0.047439903,
            0.048169449,
            0.0488990024,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0494447276,
            0.0501742773,
            0.050903827,
            0.0516333766,
            0.0523629263,
            0.053092476,
            0.0538220257,
            0.0545515753,
            0.055281125,
            0.056010671,
            0.0567402244,
            0.0574697703,
            0.0581993237,
            0.0589288697,
            0.0596584231,
            0.060387969,
            0.0615617596,
            0.0632640421,
            0.064966321,
            0.0666686073,
            0.0683708936,
            0.0700731725,
            0.0717754513,
            0.0734777376,
            0.0751800165,
            0.0768823028,
            0.0785845816,
            0.0802868679,
            0.0819891468,
            0.0836914331,
            0.0853937119,
            0.0870959982,
            0.0887178555,
            0.0901769549,
            0.0916360542,
            0.0930951536,
            0.0945542529,
            0.0960133523,
            0.0974724516,
            0.098931551,
            0.10039065,
            0.10184975,
            0.103308849,
            0.104767948,
            0.106227048,
            0.107686147,
            0.109145246,
            0.110604346,
            0.112262584,
            0.114694417,
            0.117126249,
            0.119558081,
            0.121989913,
            0.124421746,
            0.12685357,
            0.12928541,
            0.131717235,
            0.134149075,
            0.136580899,
            0.139012739,
            0.141444564,
            0.143876404,
            0.146308228,
            0.148740068,
            0.151152745,
            0.153341398,
            0.15553005,
            0.157718688,
            0.159907341,
            0.162095994,
            0.164284647,
            0.166473284,
            0.168661937,
            0.17085059,
            0.173039228,
            0.17522788,
            0.177416533,
            0.179605186,
            0.181793824,
            0.183982477,
            0.186171129,
            0.187201306,
            0.188174039,
            0.189146787,
            0.19011952,
            0.191092253,
            0.192064986,
            0.193037733,
            0.194010466,
            0.194983199,
            0.195955932,
            0.19692868,
            0.197901413,
            0.198874146,
            0.199846879,
            0.200819626,
            0.201792359,
            0.202564031,
            0.203293577,
            0.204023123,
            0.204752669,
            0.205482215,
            0.206211761,
            0.206941307,
            0.207670853,
            0.208400398,
            0.209129944,
            0.20985949,
            0.210589036,
            0.211318582,
            0.212048128,
            0.212777674,
            0.21350722,
            0.213214248,
            0.212484702,
            0.211755157,
            0.211025611,
            0.210296065,
            0.209566519,
            0.208836973,
            0.208107427,
            0.207377881,
            0.206648335,
            0.205918789,
            0.205189243,
            0.204459697,
            0.203730151,
            0.203000605,
            0.202271059,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201524273,
            0.20055154,
            0.199578807,
            0.198606074,
            0.197633326,
            0.196660593,
            0.19568786,
            0.194715127,
            0.193742394,
            0.192769647,
            0.191796914,
            0.190824181,
            0.189851448,
            0.1888787,
            0.187905967,
            0.186933234,
            0.186588556,
            0.187561303,
            0.188534036,
            0.189506769,
            0.190479502,
            0.19145225,
            0.192424983,
            0.193397716,
            0.194370449,
            0.195343196,
            0.196315929,
            0.197288662,
            0.198261395,
            0.199234128,
            0.200206876,
            0.201179609,
            0.202104479,
            0.202834025,
            0.203563571,
            0.204293117,
            0.205022663,
            0.205752209,
            0.206481755,
            0.207211301,
            0.207940847,
            0.208670393,
            0.209399939,
            0.210129485,
            0.21085903,
            0.211588576,
            0.212318122,
            0.213047668,
            0.213777214,
            0.21450676,
            0.215236306,
            0.215965852,
            0.216695413,
            0.217424959,
            0.218154505,
            0.218884051,
            0.219613612,
            0.220343158,
            0.221072704,
            0.22180225,
            0.222531796,
            0.223261356,
            0.223990902,
            0.224720448,
            0.225449994,
            0.226179555,
            0.226909101,
            0.227638647,
            0.228368193,
            0.229097754,
            0.2298273,
            0.230556846,
            0.231286392,
            0.232015952,
            0.232745498,
            0.233475044,
            0.23420459,
            0.234934151,
            0.235663697,
            0.236393243,
            0.237122789,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.238265947,
            0.239725053,
            0.24118416,
            0.242643252,
            0.244102359,
            0.245561466,
            0.247020572,
            0.248479664,
            0.249938771,
            0.251397878,
            0.25285697,
            0.254316092,
            0.255775183,
            0.257234275,
            0.258693397,
            0.260152489,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.261213303,
            0.26218605,
            0.263158798,
            0.264131516,
            0.265104264,
            0.266076982,
            0.26704973,
            0.268022478,
            0.268995196,
            0.269967943,
            0.270940661,
            0.271913409,
            0.272886157,
            0.273858875,
            0.274831623,
            0.275804371,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276608586,
            0.277338147,
            0.278067678,
            0.278797239,
            0.27952677,
            0.280256331,
            0.280985862,
            0.281715423,
            0.282444954,
            0.283174515,
            0.283904046,
            0.284633607,
            0.285363138,
            0.286092699,
            0.28682223,
            0.28755179,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.287735611,
            0.28700605,
            0.286276519,
            0.285546958,
            0.284817427,
            0.284087867,
            0.283358335,
            0.282628775,
            0.281899244,
            0.281169683,
            0.280440152,
            0.279710591,
            0.27898106,
            0.278251499,
            0.277521968,
            0.276792407,
            0.275926918,
            0.27495417,
            0.273981422,
            0.273008704,
            0.272035956,
            0.271063238,
            0.270090491,
            0.269117743,
            0.268145025,
            0.267172277,
            0.266199529,
            0.265226811,
            0.264254063,
            0.263281345,
            0.262308598,
            0.26133585,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.261083096,
            0.262055844,
            0.263028562,
            0.26400131,
            0.264974058,
            0.265946776,
            0.266919523,
            0.267892271,
            0.268864989,
            0.269837737,
            0.270810455,
            0.271783203,
            0.272755951,
            0.273728669,
            0.274701416,
            0.275674164,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276417106,
            0.275444359,
            0.274471641,
            0.273498893,
            0.272526145,
            0.271553427,
            0.270580679,
            0.269607961,
            0.268635213,
            0.267662466,
            0.266689748,
            0.265717,
            0.264744282,
            0.263771534,
            0.262798786,
            0.261826068,
            0.26085332,
            0.260106534,
            0.259376973,
            0.258647442,
            0.257917881,
            0.25718832,
            0.256458759,
            0.255729228,
            0.254999667,
            0.254270107,
            0.253540546,
            0.252811015,
            0.252081454,
            0.251351893,
            0.250622332,
            0.249892786,
            0.24916324,
            0.248433679,
            0.247704133,
            0.246974587,
            0.246245041,
            0.245515481,
            0.244785935,
            0.244056389,
            0.243326843,
            0.242597282,
            0.241867736,
            0.24113819,
            0.240408644,
            0.239679098,
            0.238949537,
            0.238219991,
            0.237490445,
            0.236760885,
            0.236031339,
            0.235301793,
            0.234572247,
            0.233842701,
            0.23311314,
            0.232383594,
            0.231654048,
            0.230924502,
            0.230194941,
            0.229465395,
            0.228735849,
            0.228006303,
            0.227276742,
            0.226547197,
            0.225817651,
            0.224685982,
            0.22322689,
            0.221767798,
            0.220308706,
            0.218849599,
            0.217390507,
            0.215931416,
            0.214472324,
            0.213013217,
            0.211554125,
            0.210095033,
            0.208635941,
            0.207176834,
            0.205717742,
            0.204258651,
            0.202799559,
            0.20154725,
            0.200574517,
            0.199601784,
            0.198629051,
            0.197656304,
            0.196683571,
            0.195710838,
            0.194738105,
            0.193765372,
            0.192792624,
            0.191819891,
            0.190847158,
            0.189874426,
            0.188901678,
            0.187928945,
            0.186956212,
            0.186056241,
            0.185326695,
            0.184597135,
            0.183867589,
            0.183138043,
            0.182408497,
            0.181678936,
            0.18094939,
            0.180219844,
            0.179490298,
            0.178760737,
            0.178031191,
            0.177301645,
            0.176572099,
            0.175842538,
            0.175112993,
            0.174383447,
            0.173653901,
            0.172924355,
            0.172194809,
            0.171465263,
            0.170735717,
            0.170006171,
            0.169276625,
            0.168547079,
            0.167817533,
            0.167087987,
            0.166358441,
            0.165628895,
            0.164899349,
            0.164169803,
            0.163440257,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.16341728,
            0.164146826,
            0.164876372,
            0.165605918,
            0.166335464,
            0.167065009,
            0.167794555,
            0.168524101,
            0.169253647,
            0.169983193,
            0.170712739,
            0.171442285,
            0.172171831,
            0.172901377,
            0.173630923,
            0.174360469,
            0.175090015,
            0.175819561,
            0.176549122,
            0.177278668,
            0.178008214,
            0.17873776,
            0.17946732,
            0.180196866,
            0.180926412,
            0.181655958,
            0.182385519,
            0.183115065,
            0.183844611,
            0.184574157,
            0.185303718,
            0.186033264,
            0.187902138,
            0.190333962,
            0.192765802,
            0.195197627,
            0.197629467,
            0.200061291,
            0.202493131,
            0.204924956,
            0.207356781,
            0.20978862,
            0.21222046,
            0.214652285,
            0.21708411,
            0.219515949,
            0.221947789,
            0.224379614,
            0.225886583,
            0.226616129,
            0.227345675,
            0.228075236,
            0.228804782,
            0.229534328,
            0.230263874,
            0.230993435,
            0.231722981,
            0.232452527,
            0.233182073,
            0.233911633,
            0.234641179,
            0.235370725,
            0.236100271,
            0.236829832,
            0.237559378,
            0.238288924,
            0.23901847,
            0.239748031,
            0.240477577,
            0.241207123,
            0.241936669,
            0.24266623,
            0.243395776,
            0.244125322,
            0.244854867,
            0.245584428,
            0.246313974,
            0.24704352,
            0.247773066,
            0.248502612,
            0.249515563,
            0.251217842,
            0.252920151,
            0.25462243,
            0.256324738,
            0.258027017,
            0.259729296,
            0.261431605,
            0.263133883,
            0.264836162,
            0.266538471,
            0.26824075,
            0.269943058,
            0.271645337,
            0.273347616,
            0.275049925,
            0.276712,
            0.278171092,
            0.279630184,
            0.281089276,
            0.282548368,
            0.28400746,
            0.285466552,
            0.286925644,
            0.288384765,
            0.289843857,
            0.291302949,
            0.292762041,
            0.294221133,
            0.295680225,
            0.297139317,
            0.298598409,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.299333721,
            0.298604161,
            0.2978746,
            0.297145069,
            0.296415508,
            0.295685977,
            0.294956416,
            0.294226855,
            0.293497324,
            0.292767763,
            0.292038202,
            0.291308671,
            0.29057911,
            0.289849579,
            0.289120018,
            0.288390458,
            0.286894977,
            0.285192698,
            0.283490419,
            0.281788141,
            0.280085862,
            0.278383583,
            0.276681304,
            0.274978995,
            0.273276716,
            0.271574438,
            0.269872159,
            0.26816988,
            0.266467601,
            0.264765322,
            0.263063043,
            0.261360765,
            0.25933677,
            0.257148117,
            0.254959464,
            0.252770811,
            0.250582159,
            0.248393506,
            0.246204853,
            0.2440162,
            0.241827548,
            0.239638895,
            0.237450242,
            0.235261604,
            0.233072951,
            0.230884299,
            0.228695646,
            0.226506993,
            0.225099593,
            0.224370033,
            0.223640487,
            0.222910941,
            0.222181395,
            0.221451834,
            0.220722288,
            0.219992742,
            0.219263196,
            0.218533635,
            0.217804089,
            0.217074543,
            0.216344997,
            0.215615436,
            0.21488589,
            0.214156345,
            0.213426799,
            0.212697253,
            0.211967707,
            0.211238161,
            0.210508615,
            0.209779069,
            0.209049523,
            0.208319977,
            0.207590431,
            0.206860885,
            0.206131339,
            0.205401793,
            0.204672247,
            0.203942701,
            0.203213155,
            0.202483609,
            0.201478317,
            0.199776039,
            0.198073745,
            0.196371466,
            0.194669187,
            0.192966893,
            0.1912646,
            0.189562321,
            0.187860042,
            0.186157748,
            0.184455469,
            0.182753175,
            0.181050897,
            0.179348603,
            0.177646324,
            0.17594403,
            0.174280047,
            0.172820941,
            0.171361849,
            0.169902742,
            0.16844365,
            0.166984543,
            0.165525451,
            0.164066344,
            0.162607253,
            0.161148146,
            0.159689054,
            0.158229947,
            0.156770855,
            0.155311748,
            0.153852656,
            0.15239355,
            0.150957435,
            0.150227889,
            0.149498329,
            0.148768783,
            0.148039237,
            0.147309691,
            0.14658013,
            0.145850584,
            0.145121038,
            0.144391492,
            0.143661946,
            0.142932385,
            0.142202839,
            0.141473293,
            0.140743747,
            0.140014187,
            0.139284641,
            0.138334885,
            0.137362152,
            0.136389419,
            0.135416687,
            0.134443954,
            0.133471221,
            0.132498488,
            0.131525755,
            0.130553022,
            0.129580289,
            0.128607556,
            0.127634823,
            0.12666209,
            0.125689358,
            0.124716625,
            0.123743892,
            0.122960731,
            0.122231178,
            0.121501632,
            0.120772079,
            0.120042533,
            0.119312979,
            0.118583433,
            0.11785388,
            0.117124334,
            0.116394781,
            0.115665235,
            0.114935681,
            0.114206135,
            0.113476589,
            0.112747036,
            0.112017483,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111379847,
            0.110650301,
            0.109920748,
            0.109191202,
            0.108461648,
            0.107732102,
            0.107002549,
            0.106273003,
            0.10554345,
            0.104813904,
            0.10408435,
            0.103354804,
            0.102625251,
            0.101895705,
            0.101166151,
            0.100436606,
            0.0994140878,
            0.0979549885,
            0.0964958891,
            0.0950367898,
            0.0935776904,
            0.0921185911,
            0.0906594917,
            0.0892003924,
            0.087741293,
            0.0862821937,
            0.0848230943,
            0.083363995,
            0.0819048956,
            0.0804457963,
            0.0789866969,
            0.0775275975,
            0.0762025341,
            0.0752298012,
            0.0742570758,
            0.0732843429,
            0.07231161,
            0.0713388771,
            0.0703661442,
            0.0693934113,
            0.0684206784,
            0.0674479455,
            0.0664752126,
            0.0655024797,
            0.0645297468,
            0.0635570139,
            0.062584281,
            0.0616115481,
            0.0606751963,
            0.0599456467,
            0.059216097,
            0.0584865473,
            0.0577569976,
            0.057027448,
            0.0562978983,
            0.0555683486,
            0.0548387989,
            0.0541092493,
            0.0533796996,
            0.0526501499,
            0.0519206002,
            0.0511910506,
            0.0504615009,
            0.0497319512,
            0.0490024015,
            0.0482728519,
            0.0475433022,
            0.0468137525,
            0.0460842028,
            0.0453546531,
            0.0446251035,
            0.0438955538,
            0.0431660041,
            0.0424364544,
            0.0417069048,
            0.0409773551,
            0.0402478054,
            0.0395182557,
            0.0387887061,
            0.0380591564,
            0.0373296067,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0369677059,
            0.0362381563,
            0.0355086066,
            0.0347790569,
            0.0340495072,
            0.0333199576,
            0.0325904079,
            0.0318608582,
            0.0311313085,
            0.0304017588,
            0.0296722092,
            0.0289426595,
            0.0282131098,
            0.0274835601,
            0.0267540105,
            0.0260244608,
            0.0252949111,
            0.0245653614,
            0.0238358118,
            0.0231062621,
            0.0223767143,
            0.0216471646,
            0.0209176149,
            0.0201880652,
            0.0194585156,
            0.0187289659,
            0.0179994162,
            0.0172698665,
            0.0165403169,
            0.0158107672,
            0.0150812175,
            0.0143516678,
            0.0136221182,
            0.0128925685,
            0.0121630188,
            0.0114334691,
            0.0107039204,
            0.00997437071,
            0.00924482103,
            0.00851527136,
            0.00778572168,
            0.00705617201,
            0.00632662233,
            0.00559707265,
            0.00486752298,
            0.00413797423,
            0.00340842456,
            0.00267887488,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.0010953116,
            0.000122578815,
            -0.000850154087,
            -0.00182288676,
            -0.00279561942,
            -0.00376835233,
            -0.00474108523,
            -0.00571381766,
            -0.00668655057,
            -0.00765928347,
            -0.00863201637,
            -0.00960474927,
            -0.0105774822,
            -0.0115502141,
            -0.012522947,
            -0.0134956799,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0141907632,
            -0.0149203129,
            -0.0156498626,
            -0.0163794123,
            -0.0171089619,
            -0.0178385116,
            -0.0185680613,
            -0.019297611,
            -0.0200271606,
            -0.0207567103,
            -0.0214862581,
            -0.0222158097,
            -0.0229453575,
            -0.0236749072,
            -0.0244044568,
            -0.0251340065,
            -0.0258635562,
            -0.0265931059,
            -0.0273226555,
            -0.0280522052,
            -0.0287817549,
            -0.0295113046,
            -0.0302408542,
            -0.0309704039,
            -0.0316999517,
            -0.0324295014,
            -0.0331590511,
            -0.0338886008,
            -0.0346181504,
            -0.0353477001,
            -0.0360772498,
            -0.0368067995,
            -0.0375363491,
            -0.0382658988,
            -0.0389954485,
            -0.0397249982,
            -0.0404545479,
            -0.0411840975,
            -0.0419136472,
            -0.0426431969,
            -0.0433727466,
            -0.0441022962,
            -0.0448318459,
            -0.0455613956,
            -0.0462909453,
            -0.0470204949,
            -0.0477500446,
            -0.0484795943,
            -0.0494619012,
            -0.0511641838,
            -0.0528664663,
            -0.0545687489,
            -0.0562710315,
            -0.0579733104,
            -0.0596755967,
            -0.0613778755,
            -0.0630801618,
            -0.0647824407,
            -0.066484727,
            -0.0681870058,
            -0.0698892921,
            -0.071591571,
            -0.0732938498,
            -0.0749961361,
            -0.0765682086,
            -0.077297762,
            -0.078027308,
            -0.0787568614,
            -0.0794864073,
            -0.0802159607,
            -0.0809455067,
            -0.0816750601,
            -0.082404606,
            -0.0831341594,
            -0.0838637054,
            -0.0845932588,
            -0.0853228047,
            -0.0860523582,
            -0.0867819041,
            -0.0875114501,
            -0.0882410035,
            -0.0889705569,
            -0.0897001028,
            -0.0904296488,
            -0.0911592022,
            -0.0918887481,
            -0.0926183015,
            -0.0933478475,
            -0.0940774009,
            -0.0948069468,
            -0.0955365002,
            -0.0962660462,
            -0.0969955996,
            -0.0977251455,
            -0.0984546989,
            -0.0991842449,
            -0.0999137983,
            -0.100643344,
            -0.10137289,
            -0.102102444,
            -0.10283199,
            -0.103561535,
            -0.104291081,
            -0.105020635,
            -0.105750181,
            -0.106479727,
            -0.107209273,
            -0.107938826,
            -0.108668372,
            -0.109397918,
            -0.110127464,
            -0.11085701,
            -0.111586563,
            -0.113051407,
            -0.114753693,
            -0.11645598,
            -0.118158266,
            -0.119860552,
            -0.121562839,
            -0.123265125,
            -0.124967411,
            -0.12666969,
            -0.128371984,
            -0.130074263,
            -0.131776556,
            -0.133478835,
            -0.135181129,
            -0.136883408,
            -0.138585702,
            -0.140134797,
            -0.141593888,
            -0.143052995,
            -0.144512087,
            -0.145971194,
            -0.147430286,
            -0.148889393,
            -0.150348485,
            -0.151807591,
            -0.153266683,
            -0.15472579,
            -0.156184882,
            -0.157643989,
            -0.159103081,
            -0.160562187,
            -0.162021279,
            -0.16311273,
            -0.163842291,
            -0.164571837,
            -0.165301383,
            -0.166030928,
            -0.166760489,
            -0.167490035,
            -0.168219581,
            -0.168949127,
            -0.169678688,
            -0.170408234,
            -0.17113778,
            -0.171867326,
            -0.172596887,
            -0.173326433,
            -0.174055979,
            -0.175061271,
            -0.176520362,
            -0.177979469,
            -0.179438561,
            -0.180897653,
            -0.18235676,
            -0.183815867,
            -0.185274959,
            -0.186734051,
            -0.188193157,
            -0.189652249,
            -0.191111356,
            -0.192570448,
            -0.194029555,
            -0.195488647,
            -0.196947753,
            -0.198284298,
            -0.199257031,
            -0.200229764,
            -0.201202497,
            -0.20217523,
            -0.203147963,
            -0.204120696,
            -0.205093428,
            -0.206066161,
            -0.207038894,
            -0.208011627,
            -0.20898436,
            -0.209957093,
            -0.210929826,
            -0.211902559,
            -0.212875292,
            -0.213909298,
            -0.215368405,
            -0.216827497,
            -0.218286604,
            -0.219745696,
            -0.221204802,
            -0.222663894,
            -0.224123001,
            -0.225582093,
            -0.2270412,
            -0.228500292,
            -0.229959399,
            -0.23141849,
            -0.232877582,
            -0.234336689,
            -0.235795796
          ],
          [
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.248381957,
            -0.247652411,
            -0.246922851,
            -0.246193305,
            -0.245463759,
            -0.244734213,
            -0.244004652,
            -0.243275106,
            -0.24254556,
            -0.241816014,
            -0.241086453,
            -0.240356907,
            -0.239627361,
            -0.238897815,
            -0.238168254,
            -0.237438709,
            -0.236709163,
            -0.235979617,
            -0.235250056,
            -0.23452051,
            -0.233790964,
            -0.233061418,
            -0.232331857,
            -0.231602311,
            -0.230872765,
            -0.230143219,
            -0.229413658,
            -0.228684112,
            -0.227954566,
            -0.227225021,
            -0.226495475,
            -0.225765914,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225220188,
            -0.224490643,
            -0.223761097,
            -0.223031551,
            -0.22230199,
            -0.221572444,
            -0.220842898,
            -0.220113337,
            -0.219383791,
            -0.218654245,
            -0.217924699,
            -0.217195153,
            -0.216465592,
            -0.215736046,
            -0.2150065,
            -0.214276955,
            -0.213488042,
            -0.212515309,
            -0.211542577,
            -0.210569844,
            -0.209597111,
            -0.208624378,
            -0.207651645,
            -0.206678912,
            -0.205706179,
            -0.204733446,
            -0.203760713,
            -0.20278798,
            -0.201815248,
            -0.200842515,
            -0.199869782,
            -0.198897049,
            -0.198154092,
            -0.199126825,
            -0.200099558,
            -0.201072291,
            -0.202045023,
            -0.203017756,
            -0.203990489,
            -0.204963222,
            -0.205935955,
            -0.206908688,
            -0.207881421,
            -0.208854154,
            -0.209826887,
            -0.21079962,
            -0.211772352,
            -0.212745085,
            -0.213717818,
            -0.215173081,
            -0.216632187,
            -0.218091279,
            -0.219550386,
            -0.221009478,
            -0.222468585,
            -0.223927677,
            -0.225386783,
            -0.226845875,
            -0.228304982,
            -0.229764074,
            -0.231223181,
            -0.232682273,
            -0.23414138,
            -0.235600471,
            -0.237059578,
            -0.237886786,
            -0.238616332,
            -0.239345878,
            -0.240075424,
            -0.240804985,
            -0.241534531,
            -0.242264077,
            -0.242993623,
            -0.243723184,
            -0.24445273,
            -0.245182276,
            -0.245911822,
            -0.246641383,
            -0.247370929,
            -0.248100474,
            -0.24883002,
            -0.249559581,
            -0.250289142,
            -0.251018673,
            -0.251748234,
            -0.252477795,
            -0.253207326,
            -0.253936887,
            -0.254666448,
            -0.255395979,
            -0.25612554,
            -0.2568551,
            -0.257584631,
            -0.258314192,
            -0.259043753,
            -0.259773284,
            -0.260502845,
            -0.261381745,
            -0.262354493,
            -0.263327211,
            -0.264299959,
            -0.265272677,
            -0.266245395,
            -0.267218143,
            -0.268190861,
            -0.269163609,
            -0.270136327,
            -0.271109074,
            -0.272081792,
            -0.27305451,
            -0.274027258,
            -0.274999976,
            -0.275972724,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276734829,
            -0.27746436,
            -0.278193921,
            -0.278923452,
            -0.279653013,
            -0.280382574,
            -0.281112105,
            -0.281841666,
            -0.282571226,
            -0.283300757,
            -0.284030318,
            -0.284759849,
            -0.28548941,
            -0.286218971,
            -0.286948502,
            -0.287678063,
            -0.288407624,
            -0.289137155,
            -0.289866716,
            -0.290596247,
            -0.291325808,
            -0.292055368,
            -0.292784899,
            -0.29351446,
            -0.294244021,
            -0.294973552,
            -0.295703113,
            -0.296432644,
            -0.297162205,
            -0.297891766,
            -0.298621297,
            -0.299350858,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299373835,
            -0.298644274,
            -0.297914743,
            -0.297185183,
            -0.296455622,
            -0.295726091,
            -0.29499653,
            -0.294266999,
            -0.293537438,
            -0.292807877,
            -0.292078346,
            -0.291348785,
            -0.290619224,
            -0.289889693,
            -0.289160132,
            -0.288430601,
            -0.287701041,
            -0.28697148,
            -0.286241949,
            -0.285512388,
            -0.284782827,
            -0.284053296,
            -0.283323735,
            -0.282594204,
            -0.281864643,
            -0.281135082,
            -0.280405551,
            -0.27967599,
            -0.278946459,
            -0.278216898,
            -0.277487338,
            -0.276757807,
            -0.275880814,
            -0.274908066,
            -0.273935348,
            -0.2729626,
            -0.271989882,
            -0.271017164,
            -0.270044416,
            -0.269071698,
            -0.26809895,
            -0.267126232,
            -0.266153485,
            -0.265180767,
            -0.264208049,
            -0.263235301,
            -0.262262583,
            -0.261289835,
            -0.260083497,
            -0.258624405,
            -0.257165313,
            -0.255706191,
            -0.254247099,
            -0.252788007,
            -0.251328886,
            -0.249869794,
            -0.248410687,
            -0.246951595,
            -0.245492488,
            -0.244033396,
            -0.242574289,
            -0.241115183,
            -0.239656091,
            -0.238196984,
            -0.236393213,
            -0.233961388,
            -0.231529549,
            -0.229097724,
            -0.226665884,
            -0.224234059,
            -0.22180222,
            -0.219370395,
            -0.216938555,
            -0.21450673,
            -0.212074891,
            -0.209643066,
            -0.207211226,
            -0.204779401,
            -0.202347577,
            -0.199915737,
            -0.197539434,
            -0.195350781,
            -0.193162143,
            -0.19097349,
            -0.188784838,
            -0.186596185,
            -0.184407547,
            -0.182218894,
            -0.180030242,
            -0.177841589,
            -0.175652951,
            -0.173464298,
            -0.171275645,
            -0.169086993,
            -0.166898355,
            -0.164709702,
            -0.162496164,
            -0.160064325,
            -0.1576325,
            -0.15520066,
            -0.152768821,
            -0.150336996,
            -0.147905156,
            -0.145473331,
            -0.143041492,
            -0.140609652,
            -0.138177827,
            -0.135745987,
            -0.133314162,
            -0.130882323,
            -0.128450483,
            -0.126018658,
            -0.123586819,
            -0.122104742,
            -0.120645642,
            -0.119186543,
            -0.117727444,
            -0.116268344,
            -0.114809245,
            -0.113350146,
            -0.111891046,
            -0.110431947,
            -0.108972847,
            -0.107513748,
            -0.106054649,
            -0.104595557,
            -0.10313645,
            -0.101677358,
            -0.100218251,
            -0.098759152,
            -0.0973000526,
            -0.0958409607,
            -0.0943818614,
            -0.092922762,
            -0.0914636627,
            -0.0900045633,
            -0.088545464,
            -0.0870863646,
            -0.0856272653,
            -0.0841681659,
            -0.0827090666,
            -0.0812499672,
            -0.0797908679,
            -0.0783317685,
            -0.0768726692,
            -0.0752374008,
            -0.073535122,
            -0.0718328431,
            -0.0701305568,
            -0.068428278,
            -0.0667259917,
            -0.0650237128,
            -0.0633214265,
            -0.0616191477,
            -0.0599168614,
            -0.0582145825,
            -0.0565122962,
            -0.0548100173,
            -0.053107731,
            -0.0514054522,
            -0.0497031696,
            -0.0485829934,
            -0.0478534438,
            -0.0471238941,
            -0.0463943444,
            -0.0456647947,
            -0.0449352451,
            -0.0442056954,
            -0.0434761457,
            -0.042746596,
            -0.0420170464,
            -0.0412874967,
            -0.0405579507,
            -0.0398283973,
            -0.0390988514,
            -0.038369298,
            -0.037639752,
            -0.0369102024,
            -0.0361806527,
            -0.035451103,
            -0.0347215533,
            -0.0339920036,
            -0.033262454,
            -0.0325329043,
            -0.0318033546,
            -0.0310738049,
            -0.0303442553,
            -0.0296147056,
            -0.0288851559,
            -0.0281556062,
            -0.0274260566,
            -0.0266965069,
            -0.0259669572,
            -0.0252374075,
            -0.0245078579,
            -0.0237783082,
            -0.0230487585,
            -0.0223192088,
            -0.0215896592,
            -0.0208601095,
            -0.0201305598,
            -0.0194010101,
            -0.0186714604,
            -0.0179419108,
            -0.0172123611,
            -0.0164828114,
            -0.0157532617,
            -0.015023713,
            -0.0142941633,
            -0.0135109983,
            -0.0125382664,
            -0.0115655335,
            -0.0105928006,
            -0.00962006766,
            -0.00864733476,
            -0.00767460186,
            -0.00670186942,
            -0.00572913699,
            -0.00475640409,
            -0.00378367119,
            -0.00281093828,
            -0.00183820538,
            -0.000865472481,
            0.000107260421,
            0.00107999332,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00266738562,
            0.0033969353,
            0.00412648451,
            0.00485603418,
            0.00558558386,
            0.00631513353,
            0.00704468321,
            0.00777423289,
            0.00850378256,
            0.00923333131,
            0.00996288192,
            0.0106924307,
            0.0114219803,
            0.01215153,
            0.0128810797,
            0.0136106294,
            0.014340179,
            0.0150697287,
            0.0157992784,
            0.0165288281,
            0.0172583777,
            0.0179879274,
            0.0187174771,
            0.0194470268,
            0.0201765765,
            0.0209061243,
            0.0216356739,
            0.0223652236,
            0.0230947733,
            0.023824323,
            0.0245538726,
            0.0252834223,
            0.026012972,
            0.0267425217,
            0.0274720713,
            0.028201621,
            0.0289311707,
            0.0296607204,
            0.0303902701,
            0.0311198197,
            0.0318493694,
            0.0325789191,
            0.0333084688,
            0.0340380184,
            0.0347675681,
            0.0354971178,
            0.0362266675,
            0.0369562171,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0370079167,
            0.036278367,
            0.0355488174,
            0.0348192677,
            0.034089718,
            0.0333601683,
            0.0326306187,
            0.031901069,
            0.0311715193,
            0.0304419696,
            0.02971242,
            0.0289828703,
            0.0282533206,
            0.0275237709,
            0.0267942213,
            0.0260646716,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0255534146,
            0.0262829624,
            0.0270125121,
            0.0277420618,
            0.0284716114,
            0.0292011611,
            0.0299307108,
            0.0306602605,
            0.0313898101,
            0.0321193598,
            0.0328489095,
            0.0335784592,
            0.0343080088,
            0.0350375585,
            0.0357671082,
            0.0364966579,
            0.0372262076,
            0.0379557572,
            0.0386853069,
            0.0394148566,
            0.0401444063,
            0.0408739559,
            0.0416035056,
            0.0423330553,
            0.043062605,
            0.0437921546,
            0.0445217043,
            0.0452512503,
            0.0459808037,
            0.0467103496,
            0.047439903,
            0.048169449,
            0.0488990024,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.049536638,
            0.0502661876,
            0.0509957373,
            0.051725287,
            0.0524548367,
            0.0531843863,
            0.053913936,
            0.0546434857,
            0.0553730354,
            0.056102585,
            0.0568321347,
            0.0575616844,
            0.0582912341,
            0.0590207838,
            0.0597503334,
            0.0604798831,
            0.0613511279,
            0.0623238608,
            0.0632965937,
            0.0642693266,
            0.0652420595,
            0.0662147924,
            0.0671875253,
            0.0681602582,
            0.0691329911,
            0.070105724,
            0.0710784569,
            0.0720511898,
            0.0730239227,
            0.0739966556,
            0.0749693885,
            0.0759421214,
            0.0771369711,
            0.0785960704,
            0.0800551698,
            0.0815142691,
            0.0829733685,
            0.0844324678,
            0.0858915672,
            0.0873506665,
            0.0888097659,
            0.0902688652,
            0.0917279646,
            0.0931870639,
            0.0946461633,
            0.0961052626,
            0.097564362,
            0.0990234613,
            0.100482561,
            0.10194166,
            0.103400759,
            0.104859859,
            0.106318958,
            0.107778057,
            0.109237157,
            0.110696256,
            0.112155356,
            0.113614455,
            0.115073554,
            0.116532654,
            0.117991753,
            0.119450852,
            0.120909952,
            0.122369051,
            0.124027289,
            0.126459122,
            0.128890961,
            0.131322801,
            0.133754641,
            0.136186466,
            0.138618305,
            0.141050145,
            0.14348197,
            0.14591381,
            0.148345649,
            0.150777489,
            0.153209314,
            0.155641153,
            0.158072993,
            0.160504818,
            0.162860066,
            0.164319158,
            0.165778264,
            0.167237356,
            0.168696448,
            0.17015554,
            0.171614647,
            0.173073739,
            0.174532831,
            0.175991923,
            0.177451015,
            0.178910121,
            0.180369213,
            0.181828305,
            0.183287412,
            0.184746504,
            0.186205596,
            0.187201306,
            0.188174039,
            0.189146787,
            0.19011952,
            0.191092253,
            0.192064986,
            0.193037733,
            0.194010466,
            0.194983199,
            0.195955932,
            0.19692868,
            0.197901413,
            0.198874146,
            0.199846879,
            0.200819626,
            0.201792359,
            0.202564031,
            0.203293577,
            0.204023123,
            0.204752669,
            0.205482215,
            0.206211761,
            0.206941307,
            0.207670853,
            0.208400398,
            0.209129944,
            0.20985949,
            0.210589036,
            0.211318582,
            0.212048128,
            0.212777674,
            0.21350722,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213306159,
            0.212576613,
            0.211847067,
            0.211117521,
            0.210387975,
            0.209658429,
            0.208928883,
            0.208199337,
            0.207469791,
            0.206740245,
            0.206010699,
            0.205281153,
            0.204551607,
            0.203822061,
            0.203092515,
            0.20236297,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.202196389,
            0.202925935,
            0.203655481,
            0.204385027,
            0.205114573,
            0.205844119,
            0.206573665,
            0.207303211,
            0.208032757,
            0.208762303,
            0.209491849,
            0.210221395,
            0.210950941,
            0.211680487,
            0.212410033,
            0.213139579,
            0.213869125,
            0.214598671,
            0.215328217,
            0.216057763,
            0.216787323,
            0.217516869,
            0.218246415,
            0.218975961,
            0.219705522,
            0.220435068,
            0.221164614,
            0.22189416,
            0.222623721,
            0.223353267,
            0.224082813,
            0.224812359,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.226179555,
            0.226909101,
            0.227638647,
            0.228368193,
            0.229097754,
            0.2298273,
            0.230556846,
            0.231286392,
            0.232015952,
            0.232745498,
            0.233475044,
            0.23420459,
            0.234934151,
            0.235663697,
            0.236393243,
            0.237122789,
            0.23785235,
            0.238581896,
            0.239311442,
            0.240040988,
            0.240770549,
            0.241500095,
            0.24222964,
            0.242959186,
            0.243688747,
            0.244418293,
            0.245147839,
            0.245877385,
            0.246606946,
            0.247336492,
            0.248066038,
            0.248795584,
            0.249525145,
            0.250254691,
            0.250984251,
            0.251713812,
            0.252443343,
            0.253172904,
            0.253902465,
            0.254632026,
            0.255361557,
            0.256091118,
            0.256820679,
            0.25755024,
            0.258279771,
            0.259009331,
            0.259738892,
            0.260468453,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.261213303,
            0.26218605,
            0.263158798,
            0.264131516,
            0.265104264,
            0.266076982,
            0.26704973,
            0.268022478,
            0.268995196,
            0.269967943,
            0.270940661,
            0.271913409,
            0.272886157,
            0.273858875,
            0.274831623,
            0.275804371,
            0.276700497,
            0.277430058,
            0.278159589,
            0.278889149,
            0.27961868,
            0.280348241,
            0.281077772,
            0.281807333,
            0.282536864,
            0.283266425,
            0.283995956,
            0.284725517,
            0.285455048,
            0.286184609,
            0.28691414,
            0.287643701,
            0.288373232,
            0.289102793,
            0.289832324,
            0.290561885,
            0.291291445,
            0.292020977,
            0.292750537,
            0.293480068,
            0.294209629,
            0.29493919,
            0.295668721,
            0.296398282,
            0.297127843,
            0.297857374,
            0.298586935,
            0.299316466,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.299316466,
            0.298586935,
            0.297857374,
            0.297127843,
            0.296398282,
            0.295668721,
            0.29493919,
            0.294209629,
            0.293480068,
            0.292750537,
            0.292020977,
            0.291291445,
            0.290561885,
            0.289832324,
            0.289102793,
            0.288373232,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.287827522,
            0.287097961,
            0.28636843,
            0.285638869,
            0.284909338,
            0.284179777,
            0.283450246,
            0.282720685,
            0.281991154,
            0.281261593,
            0.280532062,
            0.279802501,
            0.27907297,
            0.278343409,
            0.277613878,
            0.276884317,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276694745,
            0.277424306,
            0.278153837,
            0.278883398,
            0.279612929,
            0.280342489,
            0.281072021,
            0.281801581,
            0.282531112,
            0.283260673,
            0.283990204,
            0.284719765,
            0.285449296,
            0.286178857,
            0.286908388,
            0.287637949,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288195163,
            0.287465602,
            0.286736071,
            0.28600651,
            0.285276979,
            0.284547418,
            0.283817887,
            0.283088326,
            0.282358795,
            0.281629235,
            0.280899704,
            0.280170143,
            0.279440612,
            0.278711051,
            0.27798152,
            0.277251959,
            0.276522428,
            0.275566906,
            0.274594188,
            0.27362144,
            0.272648722,
            0.271675974,
            0.270703226,
            0.269730508,
            0.268757761,
            0.267785013,
            0.266812295,
            0.265839547,
            0.264866829,
            0.263894081,
            0.262921333,
            0.261948615,
            0.260975868,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260290354,
            0.259560794,
            0.258831263,
            0.258101702,
            0.257372141,
            0.25664258,
            0.255913049,
            0.255183488,
            0.254453927,
            0.253724366,
            0.252994835,
            0.252265275,
            0.251535714,
            0.250806153,
            0.250076622,
            0.249347061,
            0.248215392,
            0.2467563,
            0.245297194,
            0.243838102,
            0.242378995,
            0.240919903,
            0.239460796,
            0.238001704,
            0.236542597,
            0.235083506,
            0.233624399,
            0.232165307,
            0.2307062,
            0.229247108,
            0.227788001,
            0.226328909,
            0.224869803,
            0.223410711,
            0.221951619,
            0.220492527,
            0.21903342,
            0.217574328,
            0.216115236,
            0.214656144,
            0.213197052,
            0.211737946,
            0.210278854,
            0.208819762,
            0.20736067,
            0.205901563,
            0.204442471,
            0.202983379,
            0.201669812,
            0.200697064,
            0.199724331,
            0.198751599,
            0.197778866,
            0.196806118,
            0.195833385,
            0.194860652,
            0.193887919,
            0.192915171,
            0.191942438,
            0.190969706,
            0.189996973,
            0.18902424,
            0.188051492,
            0.187078759,
            0.186148152,
            0.185418606,
            0.184689045,
            0.183959499,
            0.183229953,
            0.182500407,
            0.181770846,
            0.1810413,
            0.180311754,
            0.179582208,
            0.178852648,
            0.178123102,
            0.177393556,
            0.17666401,
            0.175934449,
            0.175204903,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.175181925,
            0.175911471,
            0.176641032,
            0.177370578,
            0.178100124,
            0.17882967,
            0.179559231,
            0.180288777,
            0.181018323,
            0.181747869,
            0.18247743,
            0.183206975,
            0.183936521,
            0.184666067,
            0.185395628,
            0.186125174,
            0.187628314,
            0.189330593,
            0.191032872,
            0.192735165,
            0.194437444,
            0.196139723,
            0.197842002,
            0.199544296,
            0.201246575,
            0.202948853,
            0.204651132,
            0.206353426,
            0.208055705,
            0.209757984,
            0.211460263,
            0.213162541,
            0.21470207,
            0.216161162,
            0.217620268,
            0.21907936,
            0.220538467,
            0.221997559,
            0.223456666,
            0.224915758,
            0.226374865,
            0.227833956,
            0.229293063,
            0.230752155,
            0.232211262,
            0.233670354,
            0.235129461,
            0.236588553,
            0.237651289,
            0.238380834,
            0.23911038,
            0.239839941,
            0.240569487,
            0.241299033,
            0.242028579,
            0.24275814,
            0.243487686,
            0.244217232,
            0.244946778,
            0.245676339,
            0.246405885,
            0.247135431,
            0.247864977,
            0.248594537,
            0.249324083,
            0.250053644,
            0.250783175,
            0.251512736,
            0.252242297,
            0.252971858,
            0.253701389,
            0.25443095,
            0.255160511,
            0.255890071,
            0.256619602,
            0.257349163,
            0.258078724,
            0.258808285,
            0.259537816,
            0.260267377,
            0.261280328,
            0.262982607,
            0.264684886,
            0.266387165,
            0.268089443,
            0.269791752,
            0.271494031,
            0.27319631,
            0.274898589,
            0.276600868,
            0.278303146,
            0.280005425,
            0.281707704,
            0.283410013,
            0.285112292,
            0.28681457,
            0.288356006,
            0.289085537,
            0.289815098,
            0.290544659,
            0.29127419,
            0.292003751,
            0.292733312,
            0.293462843,
            0.294192404,
            0.294921935,
            0.295651495,
            0.296381056,
            0.297110587,
            0.297840148,
            0.298569709,
            0.29929924,
            0.300028801,
            0.300758332,
            0.301487893,
            0.302217454,
            0.302946985,
            0.303676546,
            0.304406106,
            0.305135638,
            0.305865198,
            0.306594729,
            0.30732429,
            0.308053851,
            0.308783382,
            0.309512943,
            0.310242474,
            0.310972035,
            0.311701596,
            0.311098427,
            0.310368866,
            0.309639305,
            0.308909774,
            0.308180213,
            0.307450682,
            0.306721121,
            0.30599156,
            0.305262029,
            0.304532468,
            0.303802907,
            0.303073376,
            0.302343816,
            0.301614285,
            0.300884724,
            0.300155163,
            0.298851192,
            0.29739207,
            0.295932978,
            0.294473886,
            0.293014795,
            0.291555703,
            0.290096611,
            0.288637519,
            0.287178427,
            0.285719305,
            0.284260213,
            0.282801121,
            0.28134203,
            0.279882938,
            0.278423846,
            0.276964754,
            0.275344789,
            0.27364251,
            0.271940231,
            0.270237923,
            0.268535644,
            0.266833335,
            0.265131056,
            0.263428777,
            0.261726469,
            0.26002419,
            0.258321911,
            0.256619602,
            0.254917324,
            0.253215015,
            0.251512736,
            0.249810457,
            0.248629004,
            0.247899443,
            0.247169897,
            0.246440351,
            0.245710805,
            0.244981244,
            0.244251698,
            0.243522152,
            0.242792606,
            0.242063046,
            0.2413335,
            0.240603954,
            0.239874408,
            0.239144847,
            0.238415301,
            0.237685755,
            0.236956209,
            0.236226648,
            0.235497102,
            0.234767556,
            0.23403801,
            0.233308449,
            0.232578903,
            0.231849357,
            0.231119812,
            0.230390251,
            0.229660705,
            0.228931159,
            0.228201613,
            0.227472067,
            0.226742506,
            0.22601296,
            0.225076616,
            0.223617509,
            0.222158417,
            0.220699325,
            0.219240233,
            0.217781126,
            0.216322035,
            0.214862943,
            0.213403851,
            0.211944759,
            0.210485652,
            0.20902656,
            0.207567468,
            0.206108361,
            0.20464927,
            0.203190178,
            0.20169279,
            0.199990496,
            0.198288217,
            0.196585923,
            0.194883645,
            0.193181351,
            0.191479072,
            0.189776778,
            0.188074499,
            0.186372206,
            0.184669927,
            0.182967633,
            0.181265354,
            0.17956306,
            0.177860782,
            0.176158488,
            0.174463868,
            0.173004761,
            0.171545669,
            0.170086563,
            0.168627471,
            0.167168379,
            0.165709272,
            0.16425018,
            0.162791073,
            0.161331981,
            0.159872875,
            0.158413783,
            0.156954676,
            0.155495584,
            0.154036477,
            0.152577385,
            0.151118279,
            0.149438977,
            0.147736698,
            0.146034405,
            0.144332126,
            0.142629847,
            0.140927568,
            0.139225274,
            0.137522995,
            0.135820717,
            0.134118438,
            0.132416159,
            0.130713865,
            0.129011586,
            0.127309307,
            0.125607029,
            0.123904742,
            0.122960731,
            0.122231178,
            0.121501632,
            0.120772079,
            0.120042533,
            0.119312979,
            0.118583433,
            0.11785388,
            0.117124334,
            0.116394781,
            0.115665235,
            0.114935681,
            0.114206135,
            0.113476589,
            0.112747036,
            0.112017483,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111379847,
            0.110650301,
            0.109920748,
            0.109191202,
            0.108461648,
            0.107732102,
            0.107002549,
            0.106273003,
            0.10554345,
            0.104813904,
            0.10408435,
            0.103354804,
            0.102625251,
            0.101895705,
            0.101166151,
            0.100436606,
            0.0997070521,
            0.0989775062,
            0.0982479528,
            0.0975184068,
            0.0967888534,
            0.0960593075,
            0.0953297615,
            0.0946002081,
            0.0938706547,
            0.0931411088,
            0.0924115628,
            0.0916820094,
            0.090952456,
            0.09022291,
            0.0894933641,
            0.0887638107,
            0.0877661854,
            0.0860639066,
            0.0843616202,
            0.0826593414,
            0.0809570551,
            0.0792547762,
            0.0775524899,
            0.0758502111,
            0.0741479248,
            0.0724456459,
            0.0707433596,
            0.0690410808,
            0.0673387945,
            0.0656365156,
            0.0639342368,
            0.0622319505,
            0.0606751963,
            0.0599456467,
            0.059216097,
            0.0584865473,
            0.0577569976,
            0.057027448,
            0.0562978983,
            0.0555683486,
            0.0548387989,
            0.0541092493,
            0.0533796996,
            0.0526501499,
            0.0519206002,
            0.0511910506,
            0.0504615009,
            0.0497319512,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0485485867,
            0.047819037,
            0.0470894873,
            0.0463599376,
            0.045630388,
            0.0449008383,
            0.0441712886,
            0.0434417389,
            0.0427121893,
            0.0419826396,
            0.0412530899,
            0.0405235402,
            0.0397939906,
            0.0390644446,
            0.0383348912,
            0.0376053452,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0369677059,
            0.0362381563,
            0.0355086066,
            0.0347790569,
            0.0340495072,
            0.0333199576,
            0.0325904079,
            0.0318608582,
            0.0311313085,
            0.0304017588,
            0.0296722092,
            0.0289426595,
            0.0282131098,
            0.0274835601,
            0.0267540105,
            0.0260244608,
            0.0250995997,
            0.0236405004,
            0.022181401,
            0.0207223017,
            0.0192632023,
            0.017804103,
            0.0163450055,
            0.0148859052,
            0.0134268058,
            0.0119677065,
            0.0105086081,
            0.00904950872,
            0.00759040937,
            0.00613131002,
            0.00467221066,
            0.00321311131,
            0.00182294636,
            0.000850213575,
            -0.00012251921,
            -0.00109525211,
            -0.00206798501,
            -0.00304071745,
            -0.00401345035,
            -0.00498618325,
            -0.00595891569,
            -0.00693164859,
            -0.00790438149,
            -0.00887711439,
            -0.00984984729,
            -0.0108225802,
            -0.0117953122,
            -0.0127680451,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0141907632,
            -0.0149203129,
            -0.0156498626,
            -0.0163794123,
            -0.0171089619,
            -0.0178385116,
            -0.0185680613,
            -0.019297611,
            -0.0200271606,
            -0.0207567103,
            -0.0214862581,
            -0.0222158097,
            -0.0229453575,
            -0.0236749072,
            -0.0244044568,
            -0.0251340065,
            -0.0258635562,
            -0.0265931059,
            -0.0273226555,
            -0.0280522052,
            -0.0287817549,
            -0.0295113046,
            -0.0302408542,
            -0.0309704039,
            -0.0316999517,
            -0.0324295014,
            -0.0331590511,
            -0.0338886008,
            -0.0346181504,
            -0.0353477001,
            -0.0360772498,
            -0.0368067995,
            -0.0375363491,
            -0.0382658988,
            -0.0389954485,
            -0.0397249982,
            -0.0404545479,
            -0.0411840975,
            -0.0419136472,
            -0.0426431969,
            -0.0433727466,
            -0.0441022962,
            -0.0448318459,
            -0.0455613956,
            -0.0462909453,
            -0.0470204949,
            -0.0477500446,
            -0.0484795943,
            -0.0494619012,
            -0.0511641838,
            -0.0528664663,
            -0.0545687489,
            -0.0562710315,
            -0.0579733104,
            -0.0596755967,
            -0.0613778755,
            -0.0630801618,
            -0.0647824407,
            -0.066484727,
            -0.0681870058,
            -0.0698892921,
            -0.071591571,
            -0.0732938498,
            -0.0749961361,
            -0.0766658634,
            -0.0781249627,
            -0.0795840621,
            -0.0810431615,
            -0.0825022608,
            -0.0839613602,
            -0.0854204595,
            -0.0868795589,
            -0.0883386582,
            -0.0897977576,
            -0.0912568569,
            -0.0927159563,
            -0.0941750556,
            -0.095634155,
            -0.0970932543,
            -0.0985523537,
            -0.100005709,
            -0.100735255,
            -0.101464801,
            -0.102194354,
            -0.1029239,
            -0.103653446,
            -0.104382992,
            -0.105112545,
            -0.105842091,
            -0.106571637,
            -0.107301183,
            -0.108030736,
            -0.108760282,
            -0.109489828,
            -0.110219374,
            -0.110948928,
            -0.111678474,
            -0.112408027,
            -0.113137573,
            -0.113867126,
            -0.11459668,
            -0.115326226,
            -0.116055779,
            -0.116785333,
            -0.117514886,
            -0.118244432,
            -0.118973985,
            -0.119703539,
            -0.120433092,
            -0.121162638,
            -0.121892191,
            -0.122621745,
            -0.123351298,
            -0.124816142,
            -0.126518428,
            -0.128220707,
            -0.129922986,
            -0.13162528,
            -0.133327559,
            -0.135029852,
            -0.136732131,
            -0.13843441,
            -0.140136704,
            -0.141838983,
            -0.143541262,
            -0.145243555,
            -0.146945834,
            -0.148648113,
            -0.150350407,
            -0.151439935,
            -0.152169496,
            -0.152899042,
            -0.153628588,
            -0.154358134,
            -0.155087695,
            -0.15581724,
            -0.156546786,
            -0.157276332,
            -0.158005893,
            -0.158735439,
            -0.159464985,
            -0.160194531,
            -0.160924092,
            -0.161653638,
            -0.162383184,
            -0.16311273,
            -0.163842291,
            -0.164571837,
            -0.165301383,
            -0.166030928,
            -0.166760489,
            -0.167490035,
            -0.168219581,
            -0.168949127,
            -0.169678688,
            -0.170408234,
            -0.17113778,
            -0.171867326,
            -0.172596887,
            -0.173326433,
            -0.174055979,
            -0.174785525,
            -0.175515085,
            -0.176244631,
            -0.176974177,
            -0.177703723,
            -0.178433269,
            -0.17916283,
            -0.179892376,
            -0.180621922,
            -0.181351468,
            -0.182081029,
            -0.182810575,
            -0.183540121,
            -0.184269667,
            -0.184999228,
            -0.185728773,
            -0.186703414,
            -0.188405707,
            -0.190107986,
            -0.191810265,
            -0.193512544,
            -0.195214838,
            -0.196917117,
            -0.198619395,
            -0.200321674,
            -0.202023968,
            -0.203726247,
            -0.205428526,
            -0.207130805,
            -0.208833098,
            -0.210535377,
            -0.212237656,
            -0.213909298,
            -0.215368405,
            -0.216827497,
            -0.218286604,
            -0.219745696,
            -0.221204802,
            -0.222663894,
            -0.224123001,
            -0.225582093,
            -0.2270412,
            -0.228500292,
            -0.229959399,
            -0.23141849,
            -0.232877582,
            -0.234336689,
            -0.235795796
          ],
          [
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.236709163,
            -0.235979617,
            -0.235250056,
            -0.23452051,
            -0.233790964,
            -0.233061418,
            -0.232331857,
            -0.231602311,
            -0.230872765,
            -0.230143219,
            -0.229413658,
            -0.228684112,
            -0.227954566,
            -0.227225021,
            -0.226495475,
            -0.225765914,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.224860206,
            -0.223157927,
            -0.221455634,
            -0.219753355,
            -0.218051076,
            -0.216348797,
            -0.214646503,
            -0.212944224,
            -0.211241946,
            -0.209539667,
            -0.207837373,
            -0.206135094,
            -0.204432815,
            -0.202730536,
            -0.201028258,
            -0.199325964,
            -0.19786112,
            -0.197131574,
            -0.196402028,
            -0.195672482,
            -0.194942921,
            -0.194213375,
            -0.193483829,
            -0.192754284,
            -0.192024723,
            -0.191295177,
            -0.190565631,
            -0.189836085,
            -0.189106524,
            -0.188376978,
            -0.187647432,
            -0.186917886,
            -0.186360672,
            -0.187090218,
            -0.187819764,
            -0.18854931,
            -0.189278871,
            -0.190008417,
            -0.190737963,
            -0.191467509,
            -0.19219707,
            -0.192926615,
            -0.193656161,
            -0.194385707,
            -0.195115268,
            -0.195844814,
            -0.19657436,
            -0.197303906,
            -0.198033452,
            -0.200451881,
            -0.20288372,
            -0.205315545,
            -0.207747385,
            -0.21017921,
            -0.212611049,
            -0.215042874,
            -0.217474714,
            -0.219906539,
            -0.222338378,
            -0.224770203,
            -0.227202043,
            -0.229633868,
            -0.232065707,
            -0.234497532,
            -0.236929372,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237794876,
            -0.238524422,
            -0.239253968,
            -0.239983514,
            -0.240713075,
            -0.241442621,
            -0.242172167,
            -0.242901713,
            -0.243631274,
            -0.244360819,
            -0.245090365,
            -0.245819911,
            -0.246549457,
            -0.247279018,
            -0.248008564,
            -0.24873811,
            -0.249467671,
            -0.250197202,
            -0.250926763,
            -0.251656324,
            -0.252385855,
            -0.253115416,
            -0.253844976,
            -0.254574537,
            -0.255304068,
            -0.256033629,
            -0.25676319,
            -0.257492721,
            -0.258222282,
            -0.258951843,
            -0.259681374,
            -0.260410935,
            -0.261615366,
            -0.263317645,
            -0.265019923,
            -0.266722202,
            -0.268424481,
            -0.27012676,
            -0.271829039,
            -0.273531318,
            -0.275233597,
            -0.276935875,
            -0.278638154,
            -0.280340433,
            -0.282042742,
            -0.283745021,
            -0.285447299,
            -0.287149578,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288407624,
            -0.289137155,
            -0.289866716,
            -0.290596247,
            -0.291325808,
            -0.292055368,
            -0.292784899,
            -0.29351446,
            -0.294244021,
            -0.294973552,
            -0.295703113,
            -0.296432644,
            -0.297162205,
            -0.297891766,
            -0.298621297,
            -0.299350858,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299999982,
            -0.299373835,
            -0.298644274,
            -0.297914743,
            -0.297185183,
            -0.296455622,
            -0.295726091,
            -0.29499653,
            -0.294266999,
            -0.293537438,
            -0.292807877,
            -0.292078346,
            -0.291348785,
            -0.290619224,
            -0.289889693,
            -0.289160132,
            -0.288430601,
            -0.286988735,
            -0.285286456,
            -0.283584177,
            -0.281881869,
            -0.28017959,
            -0.278477311,
            -0.276775032,
            -0.275072753,
            -0.273370475,
            -0.271668196,
            -0.269965917,
            -0.268263638,
            -0.266561359,
            -0.26485908,
            -0.263156801,
            -0.261454523,
            -0.260342002,
            -0.259612441,
            -0.25888291,
            -0.258153349,
            -0.257423788,
            -0.256694257,
            -0.255964696,
            -0.255235136,
            -0.254505605,
            -0.253776044,
            -0.253046483,
            -0.252316922,
            -0.251587391,
            -0.25085783,
            -0.250128269,
            -0.249398723,
            -0.248669177,
            -0.247939631,
            -0.247210085,
            -0.246480525,
            -0.245750979,
            -0.245021433,
            -0.244291887,
            -0.243562326,
            -0.24283278,
            -0.242103234,
            -0.241373688,
            -0.240644127,
            -0.239914581,
            -0.239185035,
            -0.238455489,
            -0.237725943,
            -0.236737877,
            -0.235278785,
            -0.233819693,
            -0.232360587,
            -0.230901495,
            -0.229442388,
            -0.227983296,
            -0.226524189,
            -0.225065097,
            -0.22360599,
            -0.222146899,
            -0.220687792,
            -0.2192287,
            -0.217769593,
            -0.216310501,
            -0.214851394,
            -0.213170171,
            -0.210738346,
            -0.208306506,
            -0.205874681,
            -0.203442842,
            -0.201011017,
            -0.198579192,
            -0.196147352,
            -0.193715528,
            -0.191283688,
            -0.188851863,
            -0.186420023,
            -0.183988199,
            -0.181556359,
            -0.179124534,
            -0.176692694,
            -0.174360439,
            -0.172901332,
            -0.17144224,
            -0.169983134,
            -0.168524042,
            -0.167064935,
            -0.165605843,
            -0.164146736,
            -0.162687644,
            -0.161228538,
            -0.159769446,
            -0.158310354,
            -0.156851247,
            -0.15539214,
            -0.153933048,
            -0.152473956,
            -0.15101485,
            -0.149318308,
            -0.147616029,
            -0.145913735,
            -0.144211456,
            -0.142509177,
            -0.140806884,
            -0.139104605,
            -0.137402326,
            -0.135700032,
            -0.133997753,
            -0.132295474,
            -0.130593181,
            -0.128890902,
            -0.127188623,
            -0.125486329,
            -0.12378405,
            -0.12166816,
            -0.119479515,
            -0.117290862,
            -0.115102217,
            -0.112913564,
            -0.110724919,
            -0.108536266,
            -0.10634762,
            -0.104158968,
            -0.101970322,
            -0.0997816771,
            -0.0975930244,
            -0.0954043716,
            -0.0932157263,
            -0.091027081,
            -0.0888384283,
            -0.087002106,
            -0.0852998272,
            -0.0835975483,
            -0.081895262,
            -0.0801929832,
            -0.0784906968,
            -0.076788418,
            -0.0750861317,
            -0.0733838528,
            -0.0716815665,
            -0.0699792877,
            -0.0682770014,
            -0.0665747225,
            -0.0648724362,
            -0.0631701574,
            -0.0614678748,
            -0.0603476986,
            -0.059618149,
            -0.0588885993,
            -0.0581590496,
            -0.0574294999,
            -0.0566999502,
            -0.0559704006,
            -0.0552408509,
            -0.0545113012,
            -0.0537817515,
            -0.0530522019,
            -0.0523226559,
            -0.0515931025,
            -0.0508635566,
            -0.0501340032,
            -0.0494044572,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0487668179,
            -0.0480372682,
            -0.0473077185,
            -0.0465781689,
            -0.0458486192,
            -0.0451190695,
            -0.0443895198,
            -0.0436599702,
            -0.0429304205,
            -0.0422008708,
            -0.0414713211,
            -0.0407417715,
            -0.0400122218,
            -0.0392826721,
            -0.0385531224,
            -0.0378235728,
            -0.0369331799,
            -0.0354740806,
            -0.0340149812,
            -0.0325558819,
            -0.0310967825,
            -0.0296376832,
            -0.0281785838,
            -0.0267194845,
            -0.0252603851,
            -0.0238012858,
            -0.0223421864,
            -0.0208830871,
            -0.0194239877,
            -0.0179648902,
            -0.0165057909,
            -0.0150466915,
            -0.0137943933,
            -0.014523943,
            -0.0152534926,
            -0.0159830414,
            -0.0167125911,
            -0.0174421407,
            -0.0181716904,
            -0.0189012401,
            -0.0196307898,
            -0.0203603394,
            -0.0210898891,
            -0.0218194388,
            -0.0225489885,
            -0.0232785381,
            -0.0240080878,
            -0.0247376375,
            -0.0254671872,
            -0.0247835927,
            -0.024054043,
            -0.0233244933,
            -0.0225949436,
            -0.021865394,
            -0.0211358443,
            -0.0204062946,
            -0.0196767449,
            -0.0189471953,
            -0.0182176474,
            -0.0174880959,
            -0.0167585481,
            -0.0160289984,
            -0.0152994487,
            -0.0145698991,
            -0.0138403494,
            -0.0122912535,
            -0.010588971,
            -0.00888668839,
            -0.00718440581,
            -0.00548212323,
            -0.00377984159,
            -0.00207755901,
            -0.000375276431,
            0.00132700615,
            0.00302928872,
            0.0047315713,
            0.00643385202,
            0.00813613459,
            0.00983841717,
            0.0115406998,
            0.0132429823,
            0.0142482668,
            0.0149778165,
            0.0157073662,
            0.0164369158,
            0.0171664655,
            0.0178960152,
            0.0186255649,
            0.0193551145,
            0.0200846642,
            0.0208142139,
            0.0215437636,
            0.0222733133,
            0.0230028629,
            0.0237324126,
            0.0244619623,
            0.025191512,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0251512993,
            0.0244217496,
            0.0236922,
            0.0229626503,
            0.0222331006,
            0.0215035528,
            0.0207740031,
            0.0200444534,
            0.0193149038,
            0.0185853541,
            0.0178558044,
            0.0171262547,
            0.0163967051,
            0.0156671554,
            0.0149376057,
            0.014208056,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0138806207,
            0.0146101695,
            0.0153397191,
            0.0160692688,
            0.0167988185,
            0.0175283682,
            0.0182579178,
            0.0189874675,
            0.0197170172,
            0.0204465669,
            0.0211761165,
            0.0219056662,
            0.022635214,
            0.0233647637,
            0.0240943134,
            0.0248238631,
            0.0255534146,
            0.0262829624,
            0.0270125121,
            0.0277420618,
            0.0284716114,
            0.0292011611,
            0.0299307108,
            0.0306602605,
            0.0313898101,
            0.0321193598,
            0.0328489095,
            0.0335784592,
            0.0343080088,
            0.0350375585,
            0.0357671082,
            0.0364966579,
            0.0372262076,
            0.0379557572,
            0.0386853069,
            0.0394148566,
            0.0401444063,
            0.0408739559,
            0.0416035056,
            0.0423330553,
            0.043062605,
            0.0437921546,
            0.0445217043,
            0.0452512503,
            0.0459808037,
            0.0467103496,
            0.047439903,
            0.048169449,
            0.0488990024,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0502259769,
            0.0519282594,
            0.053630542,
            0.0553328246,
            0.0570351072,
            0.0587373897,
            0.0604396686,
            0.0621419549,
            0.0638442338,
            0.0655465201,
            0.0672487989,
            0.0689510852,
            0.0706533641,
            0.0723556429,
            0.0740579292,
            0.0757602155,
            0.0768957064,
            0.0776252523,
            0.0783548057,
            0.0790843517,
            0.0798139051,
            0.080543451,
            0.0812730044,
            0.0820025504,
            0.0827321038,
            0.0834616497,
            0.0841912031,
            0.0849207491,
            0.0856503025,
            0.0863798484,
            0.0871094018,
            0.0878389478,
            0.0889016762,
            0.0903607756,
            0.0918198749,
            0.0932789743,
            0.0947380736,
            0.096197173,
            0.0976562724,
            0.0991153717,
            0.100574471,
            0.10203357,
            0.10349267,
            0.104951769,
            0.106410868,
            0.107869968,
            0.109329067,
            0.110788167,
            0.112005994,
            0.112735547,
            0.113465093,
            0.114194646,
            0.114924192,
            0.115653746,
            0.116383292,
            0.117112845,
            0.117842391,
            0.118571945,
            0.11930149,
            0.120031044,
            0.12076059,
            0.121490143,
            0.122219689,
            0.122949243,
            0.123877935,
            0.125580221,
            0.1272825,
            0.128984779,
            0.130687058,
            0.132389352,
            0.134091631,
            0.135793909,
            0.137496188,
            0.139198482,
            0.140900761,
            0.14260304,
            0.144305319,
            0.146007597,
            0.147709891,
            0.14941217,
            0.151095301,
            0.152554408,
            0.1540135,
            0.155472606,
            0.156931698,
            0.158390805,
            0.159849897,
            0.161309004,
            0.162768096,
            0.164227188,
            0.165686294,
            0.167145401,
            0.168604493,
            0.170063585,
            0.171522692,
            0.172981799,
            0.174440891,
            0.175204903,
            0.175934449,
            0.17666401,
            0.177393556,
            0.178123102,
            0.178852648,
            0.179582208,
            0.180311754,
            0.1810413,
            0.181770846,
            0.182500407,
            0.183229953,
            0.183959499,
            0.184689045,
            0.185418606,
            0.186148152,
            0.187078759,
            0.188051492,
            0.18902424,
            0.189996973,
            0.190969706,
            0.191942438,
            0.192915171,
            0.193887919,
            0.194860652,
            0.195833385,
            0.196806118,
            0.197778866,
            0.198751599,
            0.199724331,
            0.200697064,
            0.201669812,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.2022883,
            0.203017846,
            0.203747392,
            0.204476938,
            0.205206484,
            0.20593603,
            0.206665576,
            0.207395121,
            0.208124667,
            0.208854213,
            0.209583759,
            0.210313305,
            0.211042851,
            0.211772397,
            0.212501943,
            0.213231489,
            0.213961035,
            0.214690581,
            0.215420127,
            0.216149673,
            0.216879234,
            0.21760878,
            0.218338326,
            0.219067872,
            0.219797432,
            0.220526978,
            0.221256524,
            0.22198607,
            0.222715631,
            0.223445177,
            0.224174723,
            0.224904269,
            0.22563383,
            0.226363376,
            0.227092922,
            0.227822468,
            0.228552029,
            0.229281574,
            0.23001112,
            0.230740666,
            0.231470227,
            0.232199773,
            0.232929319,
            0.233658865,
            0.234388426,
            0.235117972,
            0.235847518,
            0.236577064,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.23794426,
            0.238673806,
            0.239403352,
            0.240132898,
            0.240862459,
            0.241592005,
            0.242321551,
            0.243051097,
            0.243780658,
            0.244510204,
            0.24523975,
            0.245969296,
            0.246698856,
            0.247428402,
            0.248157948,
            0.248887494,
            0.249617055,
            0.250346601,
            0.251076162,
            0.251805723,
            0.252535254,
            0.253264815,
            0.253994375,
            0.254723936,
            0.255453467,
            0.256183028,
            0.256912589,
            0.25764215,
            0.258371681,
            0.259101242,
            0.259830803,
            0.260560364,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.261213303,
            0.26218605,
            0.263158798,
            0.264131516,
            0.265104264,
            0.266076982,
            0.26704973,
            0.268022478,
            0.268995196,
            0.269967943,
            0.270940661,
            0.271913409,
            0.272886157,
            0.273858875,
            0.274831623,
            0.275804371,
            0.276700497,
            0.277430058,
            0.278159589,
            0.278889149,
            0.27961868,
            0.280348241,
            0.281077772,
            0.281807333,
            0.282536864,
            0.283266425,
            0.283995956,
            0.284725517,
            0.285455048,
            0.286184609,
            0.28691414,
            0.287643701,
            0.288511097,
            0.289970189,
            0.291429311,
            0.292888403,
            0.294347495,
            0.295806587,
            0.297265708,
            0.2987248,
            0.300183892,
            0.301642984,
            0.303102106,
            0.304561198,
            0.30602029,
            0.307479382,
            0.308938503,
            0.310397595,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311081171,
            0.31035164,
            0.309622079,
            0.308892548,
            0.308162987,
            0.307433426,
            0.306703895,
            0.305974334,
            0.305244774,
            0.304515243,
            0.303785682,
            0.303056151,
            0.30232659,
            0.301597029,
            0.300867498,
            0.300137937,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.299592227,
            0.298862666,
            0.298133105,
            0.297403574,
            0.296674013,
            0.295944452,
            0.295214921,
            0.29448536,
            0.293755829,
            0.293026268,
            0.292296708,
            0.291567177,
            0.290837616,
            0.290108055,
            0.289378524,
            0.288648963,
            0.287919432,
            0.287189871,
            0.28646034,
            0.285730779,
            0.285001248,
            0.284271687,
            0.283542156,
            0.282812595,
            0.282083064,
            0.281353503,
            0.280623972,
            0.279894412,
            0.279164881,
            0.27843532,
            0.277705789,
            0.276976228,
            0.276694745,
            0.277424306,
            0.278153837,
            0.278883398,
            0.279612929,
            0.280342489,
            0.281072021,
            0.281801581,
            0.282531112,
            0.283260673,
            0.283990204,
            0.284719765,
            0.285449296,
            0.286178857,
            0.286908388,
            0.287637949,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288195163,
            0.287465602,
            0.286736071,
            0.28600651,
            0.285276979,
            0.284547418,
            0.283817887,
            0.283088326,
            0.282358795,
            0.281629235,
            0.280899704,
            0.280170143,
            0.279440612,
            0.278711051,
            0.27798152,
            0.277251959,
            0.276522428,
            0.275566906,
            0.274594188,
            0.27362144,
            0.272648722,
            0.271675974,
            0.270703226,
            0.269730508,
            0.268757761,
            0.267785013,
            0.266812295,
            0.265839547,
            0.264866829,
            0.263894081,
            0.262921333,
            0.261948615,
            0.260975868,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.259980172,
            0.25852105,
            0.257061958,
            0.255602837,
            0.254143745,
            0.252684653,
            0.251225531,
            0.249766439,
            0.248307332,
            0.246848226,
            0.245389134,
            0.243930027,
            0.24247092,
            0.241011828,
            0.239552721,
            0.238093615,
            0.23694472,
            0.236215159,
            0.235485613,
            0.234756067,
            0.234026521,
            0.233296961,
            0.232567415,
            0.231837869,
            0.231108323,
            0.230378777,
            0.229649216,
            0.22891967,
            0.228190124,
            0.227460563,
            0.226731017,
            0.226001471,
            0.225053638,
            0.223594531,
            0.22213544,
            0.220676348,
            0.219217256,
            0.217758149,
            0.216299057,
            0.214839965,
            0.213380873,
            0.211921766,
            0.210462674,
            0.209003583,
            0.207544491,
            0.206085384,
            0.204626292,
            0.2031672,
            0.201792359,
            0.200819626,
            0.199846879,
            0.198874146,
            0.197901413,
            0.19692868,
            0.195955932,
            0.194983199,
            0.194010466,
            0.193037733,
            0.192064986,
            0.191092253,
            0.19011952,
            0.189146787,
            0.188174039,
            0.187201306,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.187170669,
            0.188143402,
            0.18911615,
            0.190088883,
            0.191061616,
            0.192034349,
            0.193007097,
            0.19397983,
            0.194952562,
            0.195925295,
            0.196898043,
            0.197870776,
            0.198843509,
            0.199816242,
            0.200788975,
            0.201761723,
            0.203121245,
            0.204580337,
            0.206039429,
            0.207498536,
            0.208957627,
            0.210416719,
            0.211875811,
            0.213334918,
            0.21479401,
            0.216253102,
            0.217712194,
            0.219171301,
            0.220630392,
            0.222089484,
            0.223548576,
            0.225007683,
            0.226466775,
            0.227925867,
            0.229384974,
            0.230844066,
            0.232303172,
            0.233762264,
            0.235221371,
            0.236680463,
            0.23813957,
            0.239598662,
            0.241057768,
            0.24251686,
            0.243975967,
            0.245435059,
            0.246894166,
            0.248353258,
            0.249415994,
            0.250145555,
            0.250875115,
            0.251604646,
            0.252334207,
            0.253063768,
            0.253793299,
            0.25452286,
            0.255252421,
            0.255981982,
            0.256711513,
            0.257441074,
            0.258170635,
            0.258900195,
            0.259629726,
            0.260359287,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.261280328,
            0.262982607,
            0.264684886,
            0.266387165,
            0.268089443,
            0.269791752,
            0.271494031,
            0.27319631,
            0.274898589,
            0.276600868,
            0.278303146,
            0.280005425,
            0.281707704,
            0.283410013,
            0.285112292,
            0.28681457,
            0.288356006,
            0.289085537,
            0.289815098,
            0.290544659,
            0.29127419,
            0.292003751,
            0.292733312,
            0.293462843,
            0.294192404,
            0.294921935,
            0.295651495,
            0.296381056,
            0.297110587,
            0.297840148,
            0.298569709,
            0.29929924,
            0.300028801,
            0.300758332,
            0.301487893,
            0.302217454,
            0.302946985,
            0.303676546,
            0.304406106,
            0.305135638,
            0.305865198,
            0.306594729,
            0.30732429,
            0.308053851,
            0.308783382,
            0.309512943,
            0.310242474,
            0.310972035,
            0.311701596,
            0.311098427,
            0.310368866,
            0.309639305,
            0.308909774,
            0.308180213,
            0.307450682,
            0.306721121,
            0.30599156,
            0.305262029,
            0.304532468,
            0.303802907,
            0.303073376,
            0.302343816,
            0.301614285,
            0.300884724,
            0.300155163,
            0.299425632,
            0.298696071,
            0.29796651,
            0.297236979,
            0.296507418,
            0.295777887,
            0.295048326,
            0.294318765,
            0.293589234,
            0.292859674,
            0.292130113,
            0.291400582,
            0.290671021,
            0.28994149,
            0.289211929,
            0.288482368,
            0.287109435,
            0.285407156,
            0.283704877,
            0.282002598,
            0.280300319,
            0.27859804,
            0.276895761,
            0.275193483,
            0.273491174,
            0.271788895,
            0.270086616,
            0.268384337,
            0.266682059,
            0.26497978,
            0.263277501,
            0.261575222,
            0.260393769,
            0.259664208,
            0.258934647,
            0.258205116,
            0.257475555,
            0.256745994,
            0.256016433,
            0.255286902,
            0.254557341,
            0.25382778,
            0.25309822,
            0.252368689,
            0.251639128,
            0.250909567,
            0.250180006,
            0.24945046,
            0.248720914,
            0.247991353,
            0.247261807,
            0.246532261,
            0.245802715,
            0.245073155,
            0.244343609,
            0.243614063,
            0.242884517,
            0.242154956,
            0.24142541,
            0.240695864,
            0.239966318,
            0.239236772,
            0.238507211,
            0.237777665,
            0.236841321,
            0.235382214,
            0.233923122,
            0.232464015,
            0.231004924,
            0.229545817,
            0.228086725,
            0.226627618,
            0.225168526,
            0.223709419,
            0.222250327,
            0.220791221,
            0.219332129,
            0.217873022,
            0.21641393,
            0.214954823,
            0.213457435,
            0.211755142,
            0.210052863,
            0.208350584,
            0.206648305,
            0.204946026,
            0.203243732,
            0.201541454,
            0.199839175,
            0.198136896,
            0.196434602,
            0.194732323,
            0.193030044,
            0.191327766,
            0.189625472,
            0.187923193,
            0.186228573,
            0.184769481,
            0.183310375,
            0.181851283,
            0.180392191,
            0.178933099,
            0.177473992,
            0.1760149,
            0.174555808,
            0.173096716,
            0.171637625,
            0.170178518,
            0.168719426,
            0.167260334,
            0.165801242,
            0.164342135,
            0.162883043,
            0.161423936,
            0.159964845,
            0.158505738,
            0.157046631,
            0.155587524,
            0.154128432,
            0.152669325,
            0.151210219,
            0.149751127,
            0.14829202,
            0.146832913,
            0.145373806,
            0.143914714,
            0.142455608,
            0.140996501,
            0.139537394,
            0.138457432,
            0.137484699,
            0.136511967,
            0.135539234,
            0.134566501,
            0.133593768,
            0.132621035,
            0.131648302,
            0.130675569,
            0.129702836,
            0.128730103,
            0.12775737,
            0.126784638,
            0.125811905,
            0.124839179,
            0.123866446,
            0.123052642,
            0.122323096,
            0.121593542,
            0.120863996,
            0.120134443,
            0.119404897,
            0.118675344,
            0.117945798,
            0.117216244,
            0.116486698,
            0.115757145,
            0.115027599,
            0.114298046,
            0.1135685,
            0.112838946,
            0.1121094,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111471757,
            0.110742211,
            0.110012658,
            0.109283112,
            0.108553559,
            0.107824013,
            0.107094467,
            0.106364913,
            0.10563536,
            0.104905814,
            0.104176268,
            0.103446715,
            0.102717161,
            0.101987615,
            0.101258069,
            0.100528516,
            0.0995979086,
            0.0981388092,
            0.0966797099,
            0.0952206105,
            0.0937615111,
            0.0923024118,
            0.0908433124,
            0.0893842131,
            0.0879251137,
            0.0864660144,
            0.085006915,
            0.0835478157,
            0.0820887238,
            0.080629617,
            0.0791705251,
            0.0777114183,
            0.0762159377,
            0.0745136589,
            0.07281138,
            0.0711090937,
            0.0694068149,
            0.0677045286,
            0.0660022497,
            0.0642999634,
            0.0625976846,
            0.0608953983,
            0.0591931194,
            0.0574908331,
            0.0557885543,
            0.0540862679,
            0.0523839891,
            0.0506817065,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0496745072,
            0.0504040569,
            0.0511336066,
            0.0518631563,
            0.0525927059,
            0.0533222556,
            0.0540518016,
            0.054781355,
            0.0555109009,
            0.0562404543,
            0.0569700003,
            0.0576995537,
            0.0584290996,
            0.0591586493,
            0.059888199,
            0.0606177486,
            0.0602213815,
            0.0594918318,
            0.0587622821,
            0.0580327325,
            0.0573031828,
            0.0565736331,
            0.0558440834,
            0.0551145338,
            0.0543849841,
            0.0536554344,
            0.0529258847,
            0.052196335,
            0.0514667854,
            0.0507372357,
            0.050007686,
            0.0492781363,
            0.0485485867,
            0.047819037,
            0.0470894873,
            0.0463599376,
            0.045630388,
            0.0449008383,
            0.0441712886,
            0.0434417389,
            0.0427121893,
            0.0419826396,
            0.0412530899,
            0.0405235402,
            0.0397939906,
            0.0390644446,
            0.0383348912,
            0.0376053452,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0369677059,
            0.0362381563,
            0.0355086066,
            0.0347790569,
            0.0340495072,
            0.0333199576,
            0.0325904079,
            0.0318608582,
            0.0311313085,
            0.0304017588,
            0.0296722092,
            0.0289426595,
            0.0282131098,
            0.0274835601,
            0.0267540105,
            0.0260244608,
            0.0250995997,
            0.0236405004,
            0.022181401,
            0.0207223017,
            0.0192632023,
            0.017804103,
            0.0163450055,
            0.0148859052,
            0.0134268058,
            0.0119677065,
            0.0105086081,
            0.00904950872,
            0.00759040937,
            0.00613131002,
            0.00467221066,
            0.00321311131,
            0.00182294636,
            0.000850213575,
            -0.00012251921,
            -0.00109525211,
            -0.00206798501,
            -0.00304071745,
            -0.00401345035,
            -0.00498618325,
            -0.00595891569,
            -0.00693164859,
            -0.00790438149,
            -0.00887711439,
            -0.00984984729,
            -0.0108225802,
            -0.0117953122,
            -0.0127680451,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0128599573,
            -0.0118872244,
            -0.0109144915,
            -0.00994175859,
            -0.00896902569,
            -0.00799629278,
            -0.00702356035,
            -0.00605082791,
            -0.00507809501,
            -0.00410536211,
            -0.00313262921,
            -0.00215989631,
            -0.00118716341,
            -0.000214431435,
            0.000758301467,
            0.00173103437,
            0.00121786061,
            0.000245127827,
            -0.000727605075,
            -0.00170033774,
            -0.00267307041,
            -0.00364580331,
            -0.00461853622,
            -0.00559126865,
            -0.00656400155,
            -0.00753673445,
            -0.00850946736,
            -0.00948220026,
            -0.0104549332,
            -0.0114276651,
            -0.012400398,
            -0.0133731309,
            -0.0141907632,
            -0.0149203129,
            -0.0156498626,
            -0.0163794123,
            -0.0171089619,
            -0.0178385116,
            -0.0185680613,
            -0.019297611,
            -0.0200271606,
            -0.0207567103,
            -0.0214862581,
            -0.0222158097,
            -0.0229453575,
            -0.0236749072,
            -0.0244044568,
            -0.0251340065,
            -0.0258635562,
            -0.0265931059,
            -0.0273226555,
            -0.0280522052,
            -0.0287817549,
            -0.0295113046,
            -0.0302408542,
            -0.0309704039,
            -0.0316999517,
            -0.0324295014,
            -0.0331590511,
            -0.0338886008,
            -0.0346181504,
            -0.0353477001,
            -0.0360772498,
            -0.0368067995,
            -0.0378178284,
            -0.0392769277,
            -0.0407360271,
            -0.0421951264,
            -0.0436542258,
            -0.0451133251,
            -0.0465724245,
            -0.0480315238,
            -0.0494906232,
            -0.0509497225,
            -0.0524088219,
            -0.0538679212,
            -0.0553270206,
            -0.0567861199,
            -0.0582452193,
            -0.0597043186,
            -0.0612266064,
            -0.0629288852,
            -0.0646311715,
            -0.0663334504,
            -0.0680357367,
            -0.0697380155,
            -0.0714403018,
            -0.0731425807,
            -0.074844867,
            -0.0765471458,
            -0.0782494321,
            -0.079951711,
            -0.0816539973,
            -0.0833562762,
            -0.085058555,
            -0.0867608413,
            -0.0884305686,
            -0.0898896679,
            -0.0913487673,
            -0.0928078666,
            -0.0942669585,
            -0.0957260579,
            -0.0971851572,
            -0.0986442566,
            -0.100103348,
            -0.101562448,
            -0.103021547,
            -0.104480639,
            -0.105939738,
            -0.107398838,
            -0.10885793,
            -0.110317029,
            -0.111770384,
            -0.112499937,
            -0.113229483,
            -0.113959037,
            -0.11468859,
            -0.115418144,
            -0.11614769,
            -0.116877243,
            -0.117606796,
            -0.11833635,
            -0.119065896,
            -0.119795449,
            -0.120525002,
            -0.121254556,
            -0.121984102,
            -0.122713655,
            -0.123443209,
            -0.12438722,
            -0.125359952,
            -0.126332685,
            -0.127305418,
            -0.128278151,
            -0.129250899,
            -0.130223632,
            -0.131196365,
            -0.132169098,
            -0.133141831,
            -0.134114563,
            -0.135087296,
            -0.136060029,
            -0.137032777,
            -0.13800551,
            -0.138978243,
            -0.140318617,
            -0.141777724,
            -0.143236816,
            -0.144695923,
            -0.146155015,
            -0.147614121,
            -0.149073213,
            -0.15053232,
            -0.151991412,
            -0.153450519,
            -0.154909611,
            -0.156368703,
            -0.157827809,
            -0.159286916,
            -0.160746008,
            -0.1622051,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.16311273,
            -0.163842291,
            -0.164571837,
            -0.165301383,
            -0.166030928,
            -0.166760489,
            -0.167490035,
            -0.168219581,
            -0.168949127,
            -0.169678688,
            -0.170408234,
            -0.17113778,
            -0.171867326,
            -0.172596887,
            -0.173326433,
            -0.174055979,
            -0.174785525,
            -0.175515085,
            -0.176244631,
            -0.176974177,
            -0.177703723,
            -0.178433269,
            -0.17916283,
            -0.179892376,
            -0.180621922,
            -0.181351468,
            -0.182081029,
            -0.182810575,
            -0.183540121,
            -0.184269667,
            -0.184999228,
            -0.185728773,
            -0.186703414,
            -0.188405707,
            -0.190107986,
            -0.191810265,
            -0.193512544,
            -0.195214838,
            -0.196917117,
            -0.198619395,
            -0.200321674,
            -0.202023968,
            -0.203726247,
            -0.205428526,
            -0.207130805,
            -0.208833098,
            -0.210535377,
            -0.212237656,
            -0.213909298,
            -0.215368405,
            -0.216827497,
            -0.218286604,
            -0.219745696,
            -0.221204802,
            -0.222663894,
            -0.224123001,
            -0.225582093,
            -0.2270412,
            -0.228500292,
            -0.229959399,
            -0.23141849,
            -0.232877582,
            -0.234336689,
            -0.235795796
          ],
          [
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225128278,
            -0.224398732,
            -0.223669186,
            -0.222939625,
            -0.222210079,
            -0.221480533,
            -0.220750988,
            -0.220021427,
            -0.219291881,
            -0.218562335,
            -0.217832789,
            -0.217103228,
            -0.216373682,
            -0.215644136,
            -0.21491459,
            -0.214185029,
            -0.213365495,
            -0.212392762,
            -0.211420029,
            -0.210447297,
            -0.209474564,
            -0.208501831,
            -0.207529098,
            -0.206556365,
            -0.205583632,
            -0.204610899,
            -0.203638166,
            -0.202665433,
            -0.2016927,
            -0.200719967,
            -0.199747235,
            -0.198774502,
            -0.19786112,
            -0.197131574,
            -0.196402028,
            -0.195672482,
            -0.194942921,
            -0.194213375,
            -0.193483829,
            -0.192754284,
            -0.192024723,
            -0.191295177,
            -0.190565631,
            -0.189836085,
            -0.189106524,
            -0.188376978,
            -0.187647432,
            -0.186917886,
            -0.186360672,
            -0.187090218,
            -0.187819764,
            -0.18854931,
            -0.189278871,
            -0.190008417,
            -0.190737963,
            -0.191467509,
            -0.19219707,
            -0.192926615,
            -0.193656161,
            -0.194385707,
            -0.195115268,
            -0.195844814,
            -0.19657436,
            -0.197303906,
            -0.198033452,
            -0.199728087,
            -0.201430365,
            -0.203132644,
            -0.204834923,
            -0.206537217,
            -0.208239496,
            -0.209941775,
            -0.211644053,
            -0.213346347,
            -0.215048626,
            -0.216750905,
            -0.218453184,
            -0.220155478,
            -0.221857756,
            -0.223560035,
            -0.225262314,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.226030171,
            -0.226759717,
            -0.227489263,
            -0.228218809,
            -0.22894837,
            -0.229677916,
            -0.230407462,
            -0.231137007,
            -0.231866568,
            -0.232596114,
            -0.23332566,
            -0.234055206,
            -0.234784752,
            -0.235514313,
            -0.236243859,
            -0.236973405,
            -0.238151029,
            -0.239610136,
            -0.241069227,
            -0.242528334,
            -0.243987426,
            -0.245446533,
            -0.24690564,
            -0.248364732,
            -0.249823838,
            -0.25128293,
            -0.252742052,
            -0.254201144,
            -0.255660236,
            -0.257119358,
            -0.258578449,
            -0.260037541,
            -0.261615366,
            -0.263317645,
            -0.265019923,
            -0.266722202,
            -0.268424481,
            -0.27012676,
            -0.271829039,
            -0.273531318,
            -0.275233597,
            -0.276935875,
            -0.278638154,
            -0.280340433,
            -0.282042742,
            -0.283745021,
            -0.285447299,
            -0.287149578,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.28760913,
            -0.286879569,
            -0.286150038,
            -0.285420477,
            -0.284690917,
            -0.283961385,
            -0.283231825,
            -0.282502294,
            -0.281772733,
            -0.281043172,
            -0.280313641,
            -0.27958408,
            -0.278854519,
            -0.278124988,
            -0.277395427,
            -0.276665896,
            -0.27522403,
            -0.273521721,
            -0.271819443,
            -0.270117164,
            -0.268414885,
            -0.266712606,
            -0.265010327,
            -0.263308048,
            -0.261605769,
            -0.259903491,
            -0.258201182,
            -0.256498903,
            -0.254796624,
            -0.253094345,
            -0.251392066,
            -0.249689788,
            -0.248577267,
            -0.247847721,
            -0.247118175,
            -0.246388614,
            -0.245659068,
            -0.244929522,
            -0.244199976,
            -0.243470415,
            -0.24274087,
            -0.242011324,
            -0.241281778,
            -0.240552217,
            -0.239822671,
            -0.239093125,
            -0.238363579,
            -0.237634018,
            -0.236904472,
            -0.236174926,
            -0.23544538,
            -0.234715819,
            -0.233986273,
            -0.233256727,
            -0.232527182,
            -0.231797621,
            -0.231068075,
            -0.230338529,
            -0.229608983,
            -0.228879422,
            -0.228149876,
            -0.22742033,
            -0.226690784,
            -0.225961238,
            -0.225231677,
            -0.224502131,
            -0.223772585,
            -0.223043025,
            -0.222313479,
            -0.221583933,
            -0.220854387,
            -0.220124841,
            -0.21939528,
            -0.218665734,
            -0.217936188,
            -0.217206642,
            -0.216477081,
            -0.215747535,
            -0.215017989,
            -0.214288443,
            -0.213503361,
            -0.212530628,
            -0.211557895,
            -0.210585162,
            -0.209612429,
            -0.208639696,
            -0.207666963,
            -0.20669423,
            -0.205721498,
            -0.204748765,
            -0.203776032,
            -0.202803299,
            -0.201830566,
            -0.200857833,
            -0.1998851,
            -0.198912367,
            -0.19788985,
            -0.196430743,
            -0.194971651,
            -0.193512544,
            -0.192053452,
            -0.190594345,
            -0.189135253,
            -0.187676147,
            -0.186217055,
            -0.184757948,
            -0.183298856,
            -0.181839764,
            -0.180380657,
            -0.178921551,
            -0.177462459,
            -0.176003367,
            -0.17454426,
            -0.172372848,
            -0.170184195,
            -0.167995542,
            -0.165806904,
            -0.163618252,
            -0.161429599,
            -0.159240946,
            -0.157052308,
            -0.154863656,
            -0.152675003,
            -0.15048635,
            -0.148297712,
            -0.146109059,
            -0.143920407,
            -0.141731769,
            -0.139543116,
            -0.137147665,
            -0.134715825,
            -0.132284001,
            -0.129852161,
            -0.127420321,
            -0.124988496,
            -0.122556657,
            -0.120124824,
            -0.117692992,
            -0.11526116,
            -0.112829328,
            -0.110397488,
            -0.107965656,
            -0.105533823,
            -0.103101984,
            -0.100670159,
            -0.0989429802,
            -0.0974838808,
            -0.0960247815,
            -0.0945656821,
            -0.0931065828,
            -0.0916474834,
            -0.0901883841,
            -0.0887292847,
            -0.0872701854,
            -0.085811086,
            -0.0843519866,
            -0.0828928873,
            -0.0814337879,
            -0.0799746886,
            -0.0785155892,
            -0.0770564899,
            -0.0758884475,
            -0.0749157146,
            -0.0739429817,
            -0.0729702488,
            -0.0719975159,
            -0.071024783,
            -0.0700520501,
            -0.0690793172,
            -0.0681065843,
            -0.0671338513,
            -0.0661611184,
            -0.0651883855,
            -0.0642156526,
            -0.0632429197,
            -0.0622701868,
            -0.0612974539,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0605315231,
            -0.0598019734,
            -0.0590724237,
            -0.0583428741,
            -0.0576133244,
            -0.0568837747,
            -0.056154225,
            -0.0554246753,
            -0.0546951257,
            -0.053965576,
            -0.0532360263,
            -0.0525064766,
            -0.051776927,
            -0.0510473773,
            -0.0503178276,
            -0.0495882779,
            -0.0488587283,
            -0.0481291786,
            -0.0473996289,
            -0.0466700792,
            -0.0459405296,
            -0.0452109799,
            -0.0444814339,
            -0.0437518805,
            -0.0430223346,
            -0.0422927812,
            -0.0415632352,
            -0.0408336818,
            -0.0401041359,
            -0.0393745862,
            -0.0386450365,
            -0.0379154868,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0365482979,
            -0.0358187482,
            -0.0350891985,
            -0.0343596488,
            -0.0336300991,
            -0.0329005495,
            -0.0321709998,
            -0.0314414501,
            -0.0307119004,
            -0.0299823526,
            -0.0292528011,
            -0.0285232533,
            -0.0277937036,
            -0.0270641539,
            -0.0263346042,
            -0.0256050546,
            -0.0240559578,
            -0.0223536752,
            -0.0206513926,
            -0.0189491101,
            -0.0172468275,
            -0.0155445468,
            -0.0138422642,
            -0.0121399816,
            -0.010437699,
            -0.00873541646,
            -0.00703313388,
            -0.00533085316,
            -0.00362857059,
            -0.00192628801,
            -0.000224005431,
            0.00147827715,
            0.0024835621,
            0.00321311178,
            0.00394266099,
            0.00467221066,
            0.00540176034,
            0.00613131002,
            0.00686085969,
            0.00759040937,
            0.00831995904,
            0.00904950872,
            0.0097790584,
            0.0105086081,
            0.0112381568,
            0.0119677065,
            0.0126972562,
            0.0134268058,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0133865941,
            0.0126570445,
            0.0119274957,
            0.011197946,
            0.0104683964,
            0.00973884668,
            0.00900929701,
            0.00827974733,
            0.00755019765,
            0.00682064844,
            0.00609109877,
            0.00536154956,
            0.00463199988,
            0.0039024502,
            0.00317290053,
            0.00244335085,
            0.00220782682,
            0.0029373765,
            0.00366692618,
            0.00439647585,
            0.00512602553,
            0.00585557474,
            0.00658512441,
            0.00731467409,
            0.00804422423,
            0.00877377298,
            0.00950332265,
            0.0102328723,
            0.010962422,
            0.0116919717,
            0.0124215214,
            0.013151071,
            0.0138806207,
            0.0146101695,
            0.0153397191,
            0.0160692688,
            0.0167988185,
            0.0175283682,
            0.0182579178,
            0.0189874675,
            0.0197170172,
            0.0204465669,
            0.0211761165,
            0.0219056662,
            0.022635214,
            0.0233647637,
            0.0240943134,
            0.0248238631,
            0.0255534146,
            0.0262829624,
            0.0270125121,
            0.0277420618,
            0.0284716114,
            0.0292011611,
            0.0299307108,
            0.0306602605,
            0.0313898101,
            0.0321193598,
            0.0328489095,
            0.0335784592,
            0.0343080088,
            0.0350375585,
            0.0357671082,
            0.0364966579,
            0.0372262076,
            0.0379557572,
            0.0386853069,
            0.0394148566,
            0.0401444063,
            0.0408739559,
            0.0416035056,
            0.0423330553,
            0.043062605,
            0.0437921546,
            0.0445217043,
            0.0452512503,
            0.0459808037,
            0.0467103496,
            0.047439903,
            0.048169449,
            0.0488990024,
            0.0496285483,
            0.050358098,
            0.0510876477,
            0.0518171974,
            0.052546747,
            0.0532762967,
            0.0540058464,
            0.0547353961,
            0.0554649457,
            0.0561944954,
            0.0569240451,
            0.0576535948,
            0.0583831444,
            0.0591126941,
            0.0598422438,
            0.0605717935,
            0.061990682,
            0.0636929646,
            0.0653952435,
            0.0670975298,
            0.0687998086,
            0.0705020949,
            0.0722043738,
            0.0739066601,
            0.0756089389,
            0.0773112252,
            0.0790135041,
            0.0807157904,
            0.0824180692,
            0.0841203481,
            0.0858226344,
            0.0875249207,
            0.0886604115,
            0.0893899575,
            0.0901195109,
            0.0908490568,
            0.0915786102,
            0.0923081562,
            0.0930377096,
            0.0937672555,
            0.0944968089,
            0.0952263549,
            0.0959559083,
            0.0966854542,
            0.0974150077,
            0.0981445536,
            0.098874107,
            0.099603653,
            0.100333206,
            0.101062752,
            0.101792306,
            0.102521852,
            0.103251405,
            0.103980951,
            0.104710504,
            0.10544005,
            0.106169604,
            0.10689915,
            0.107628703,
            0.108358249,
            0.109087795,
            0.109817348,
            0.110546902,
            0.111276448,
            0.112005994,
            0.112735547,
            0.113465093,
            0.114194646,
            0.114924192,
            0.115653746,
            0.116383292,
            0.117112845,
            0.117842391,
            0.118571945,
            0.11930149,
            0.120031044,
            0.12076059,
            0.121490143,
            0.122219689,
            0.122949243,
            0.123728573,
            0.124701306,
            0.125674039,
            0.126646772,
            0.127619505,
            0.128592238,
            0.129564971,
            0.130537704,
            0.131510437,
            0.132483169,
            0.133455902,
            0.134428635,
            0.135401368,
            0.136374101,
            0.137346834,
            0.138319567,
            0.139330596,
            0.140789703,
            0.142248809,
            0.143707901,
            0.145167008,
            0.146626115,
            0.148085222,
            0.149544314,
            0.15100342,
            0.152462527,
            0.153921634,
            0.155380726,
            0.156839833,
            0.158298939,
            0.159758031,
            0.161217138,
            0.162676245,
            0.163440257,
            0.164169803,
            0.164899349,
            0.165628895,
            0.166358441,
            0.167087987,
            0.167817533,
            0.168547079,
            0.169276625,
            0.170006171,
            0.170735717,
            0.171465263,
            0.172194809,
            0.172924355,
            0.173653901,
            0.174383447,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.175021082,
            0.175750628,
            0.176480189,
            0.177209735,
            0.177939281,
            0.178668827,
            0.179398388,
            0.180127934,
            0.18085748,
            0.181587026,
            0.182316571,
            0.183046132,
            0.183775678,
            0.184505224,
            0.18523477,
            0.185964331,
            0.186833665,
            0.187806398,
            0.188779131,
            0.189751863,
            0.190724611,
            0.191697344,
            0.192670077,
            0.19364281,
            0.194615558,
            0.195588291,
            0.196561024,
            0.197533756,
            0.198506504,
            0.199479237,
            0.20045197,
            0.201424703,
            0.202615738,
            0.20407483,
            0.205533922,
            0.206993014,
            0.20845212,
            0.209911212,
            0.211370304,
            0.212829396,
            0.214288503,
            0.215747595,
            0.217206687,
            0.218665779,
            0.220124871,
            0.221583977,
            0.223043069,
            0.224502161,
            0.22572574,
            0.226455286,
            0.227184832,
            0.227914378,
            0.228643939,
            0.229373485,
            0.230103031,
            0.230832577,
            0.231562138,
            0.232291684,
            0.23302123,
            0.233750775,
            0.234480336,
            0.235209882,
            0.235939428,
            0.236668974,
            0.237398535,
            0.238128081,
            0.238857627,
            0.239587173,
            0.240316734,
            0.24104628,
            0.241775826,
            0.242505372,
            0.243234932,
            0.243964478,
            0.244694024,
            0.24542357,
            0.246153131,
            0.246882677,
            0.247612223,
            0.248341769,
            0.24907133,
            0.249800876,
            0.250530422,
            0.251259983,
            0.251989543,
            0.252719104,
            0.253448635,
            0.254178196,
            0.254907757,
            0.255637288,
            0.256366849,
            0.25709641,
            0.257825971,
            0.258555532,
            0.259285063,
            0.260014623,
            0.260744184,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.26133585,
            0.262308598,
            0.263281345,
            0.264254063,
            0.265226811,
            0.266199529,
            0.267172277,
            0.268145025,
            0.269117743,
            0.270090491,
            0.271063238,
            0.272035956,
            0.273008704,
            0.273981422,
            0.27495417,
            0.275926918,
            0.276792407,
            0.277521968,
            0.278251499,
            0.27898106,
            0.279710591,
            0.280440152,
            0.281169683,
            0.281899244,
            0.282628775,
            0.283358335,
            0.284087867,
            0.284817427,
            0.285546958,
            0.286276519,
            0.28700605,
            0.287735611,
            0.288465142,
            0.289194703,
            0.289924234,
            0.290653795,
            0.291383356,
            0.292112887,
            0.292842448,
            0.293571979,
            0.29430154,
            0.295031101,
            0.295760632,
            0.296490192,
            0.297219753,
            0.297949284,
            0.298678845,
            0.299408376,
            0.300137937,
            0.300867498,
            0.301597029,
            0.30232659,
            0.303056151,
            0.303785682,
            0.304515243,
            0.305244774,
            0.305974334,
            0.306703895,
            0.307433426,
            0.308162987,
            0.308892548,
            0.309622079,
            0.31035164,
            0.311081171,
            0.311810732,
            0.312540293,
            0.313269824,
            0.313999385,
            0.314728945,
            0.315458477,
            0.316188037,
            0.316917568,
            0.317647129,
            0.31837669,
            0.319106221,
            0.319835782,
            0.320565343,
            0.321294874,
            0.322024435,
            0.322753966,
            0.323483527,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323029697,
            0.322300166,
            0.321570605,
            0.320841074,
            0.320111513,
            0.319381952,
            0.318652421,
            0.31792286,
            0.317193329,
            0.316463768,
            0.315734208,
            0.315004677,
            0.314275116,
            0.313545555,
            0.312816024,
            0.312086463,
            0.311356932,
            0.310627371,
            0.30989781,
            0.309168279,
            0.308438718,
            0.307709157,
            0.306979626,
            0.306250066,
            0.305520535,
            0.304790974,
            0.304061413,
            0.303331882,
            0.302602321,
            0.30187276,
            0.301143229,
            0.300413668,
            0.299684137,
            0.298954576,
            0.298225015,
            0.297495484,
            0.296765924,
            0.296036363,
            0.295306832,
            0.294577271,
            0.29384774,
            0.293118179,
            0.292388618,
            0.291659087,
            0.290929526,
            0.290199995,
            0.289470434,
            0.288740873,
            0.288011342,
            0.287281781,
            0.28655225,
            0.28582269,
            0.285093158,
            0.284363598,
            0.283634067,
            0.282904506,
            0.282174975,
            0.281445414,
            0.280715883,
            0.279986322,
            0.279256791,
            0.27852723,
            0.277797699,
            0.277068138,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276417106,
            0.275444359,
            0.274471641,
            0.273498893,
            0.272526145,
            0.271553427,
            0.270580679,
            0.269607961,
            0.268635213,
            0.267662466,
            0.266689748,
            0.265717,
            0.264744282,
            0.263771534,
            0.262798786,
            0.261826068,
            0.26085332,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260382265,
            0.259652704,
            0.258923173,
            0.258193612,
            0.257464051,
            0.25673449,
            0.256004959,
            0.255275398,
            0.254545838,
            0.253816307,
            0.253086746,
            0.252357185,
            0.251627624,
            0.250898093,
            0.250168532,
            0.249438971,
            0.248709425,
            0.247979864,
            0.247250319,
            0.246520773,
            0.245791227,
            0.245061666,
            0.24433212,
            0.243602574,
            0.242873028,
            0.242143482,
            0.241413921,
            0.240684375,
            0.239954829,
            0.239225268,
            0.238495722,
            0.237766176,
            0.237036631,
            0.236307085,
            0.235577524,
            0.234847978,
            0.234118432,
            0.233388886,
            0.232659325,
            0.231929779,
            0.231200233,
            0.230470687,
            0.229741126,
            0.22901158,
            0.228282034,
            0.227552488,
            0.226822928,
            0.226093382,
            0.225363836,
            0.22463429,
            0.223904729,
            0.223175183,
            0.222445637,
            0.221716091,
            0.22098653,
            0.220256984,
            0.219527438,
            0.218797892,
            0.218068331,
            0.217338786,
            0.21660924,
            0.215879694,
            0.215150133,
            0.214420587,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.214305699,
            0.215035245,
            0.215764806,
            0.216494352,
            0.217223898,
            0.217953444,
            0.218683004,
            0.21941255,
            0.220142096,
            0.220871642,
            0.221601203,
            0.222330749,
            0.223060295,
            0.223789841,
            0.224519402,
            0.225248948,
            0.226466775,
            0.227925867,
            0.229384974,
            0.230844066,
            0.232303172,
            0.233762264,
            0.235221371,
            0.236680463,
            0.23813957,
            0.239598662,
            0.241057768,
            0.24251686,
            0.243975967,
            0.245435059,
            0.246894166,
            0.248353258,
            0.249415994,
            0.250145555,
            0.250875115,
            0.251604646,
            0.252334207,
            0.253063768,
            0.253793299,
            0.25452286,
            0.255252421,
            0.255981982,
            0.256711513,
            0.257441074,
            0.258170635,
            0.258900195,
            0.259629726,
            0.260359287,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.261067778,
            0.262040526,
            0.263013244,
            0.263985991,
            0.264958739,
            0.265931457,
            0.266904205,
            0.267876953,
            0.268849671,
            0.269822419,
            0.270795137,
            0.271767884,
            0.272740632,
            0.27371335,
            0.274686098,
            0.275658816,
            0.276591361,
            0.277320892,
            0.278050452,
            0.278779984,
            0.279509544,
            0.280239075,
            0.280968636,
            0.281698167,
            0.282427728,
            0.283157259,
            0.28388682,
            0.284616351,
            0.285345912,
            0.286075443,
            0.286805004,
            0.287534535,
            0.288264096,
            0.288993627,
            0.289723188,
            0.290452749,
            0.29118228,
            0.29191184,
            0.292641401,
            0.293370932,
            0.294100493,
            0.294830024,
            0.295559585,
            0.296289146,
            0.297018677,
            0.297748238,
            0.298477769,
            0.29920733,
            0.299936891,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.299425632,
            0.298696071,
            0.29796651,
            0.297236979,
            0.296507418,
            0.295777887,
            0.295048326,
            0.294318765,
            0.293589234,
            0.292859674,
            0.292130113,
            0.291400582,
            0.290671021,
            0.28994149,
            0.289211929,
            0.288482368,
            0.287109435,
            0.285407156,
            0.283704877,
            0.282002598,
            0.280300319,
            0.27859804,
            0.276895761,
            0.275193483,
            0.273491174,
            0.271788895,
            0.270086616,
            0.268384337,
            0.266682059,
            0.26497978,
            0.263277501,
            0.261575222,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260485679,
            0.259756118,
            0.259026557,
            0.258297026,
            0.257567465,
            0.256837904,
            0.256108344,
            0.255378813,
            0.254649252,
            0.253919691,
            0.25319013,
            0.252460599,
            0.251731038,
            0.251001477,
            0.250271916,
            0.24954237,
            0.248606026,
            0.247146919,
            0.245687827,
            0.244228721,
            0.242769629,
            0.241310522,
            0.23985143,
            0.238392323,
            0.236933231,
            0.235474125,
            0.234015033,
            0.232555926,
            0.231096834,
            0.229637727,
            0.228178635,
            0.226719528,
            0.225260437,
            0.223801345,
            0.222342238,
            0.220883146,
            0.219424054,
            0.217964962,
            0.216505855,
            0.215046763,
            0.213587672,
            0.21212858,
            0.210669473,
            0.209210381,
            0.207751289,
            0.206292197,
            0.20483309,
            0.203373998,
            0.201907247,
            0.200204954,
            0.198502675,
            0.196800381,
            0.195098102,
            0.193395823,
            0.191693529,
            0.189991251,
            0.188288957,
            0.186586678,
            0.184884384,
            0.183182105,
            0.181479812,
            0.179777533,
            0.178075239,
            0.17637296,
            0.174670666,
            0.17384921,
            0.173119664,
            0.172390118,
            0.171660572,
            0.170931026,
            0.17020148,
            0.169471934,
            0.168742388,
            0.168012843,
            0.167283297,
            0.166553751,
            0.165824205,
            0.165094659,
            0.164365113,
            0.163635567,
            0.162906021,
            0.161607772,
            0.160148665,
            0.158689559,
            0.157230452,
            0.15577136,
            0.154312253,
            0.152853146,
            0.151394039,
            0.149934947,
            0.148475841,
            0.147016734,
            0.145557642,
            0.144098535,
            0.142639428,
            0.141180322,
            0.13972123,
            0.13857998,
            0.137607247,
            0.136634514,
            0.135661781,
            0.134689048,
            0.133716315,
            0.132743582,
            0.131770849,
            0.130798116,
            0.129825383,
            0.128852651,
            0.127879918,
            0.126907185,
            0.125934452,
            0.124961726,
            0.123988993,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123236462,
            0.122506917,
            0.121777363,
            0.121047817,
            0.120318264,
            0.119588718,
            0.118859172,
            0.118129618,
            0.117400065,
            0.116670519,
            0.115940973,
            0.11521142,
            0.114481866,
            0.11375232,
            0.113022774,
            0.112293221,
            0.111362614,
            0.109903514,
            0.108444415,
            0.106985316,
            0.105526216,
            0.104067117,
            0.102608018,
            0.101148918,
            0.0996898189,
            0.0982307196,
            0.0967716202,
            0.0953125209,
            0.093853429,
            0.0923943222,
            0.0909352303,
            0.0894761235,
            0.0879806429,
            0.0862783641,
            0.0845760852,
            0.0828737989,
            0.0811715201,
            0.0794692338,
            0.0777669549,
            0.0760646686,
            0.0743623897,
            0.0726601034,
            0.0709578246,
            0.0692555383,
            0.0675532594,
            0.0658509731,
            0.0641486943,
            0.0624464117,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0602213815,
            0.0594918318,
            0.0587622821,
            0.0580327325,
            0.0573031828,
            0.0565736331,
            0.0558440834,
            0.0551145338,
            0.0543849841,
            0.0536554344,
            0.0529258847,
            0.052196335,
            0.0514667854,
            0.0507372357,
            0.050007686,
            0.0492781363,
            0.0485485867,
            0.047819037,
            0.0470894873,
            0.0463599376,
            0.045630388,
            0.0449008383,
            0.0441712886,
            0.0434417389,
            0.0427121893,
            0.0419826396,
            0.0412530899,
            0.0405235402,
            0.0397939906,
            0.0390644446,
            0.0383348912,
            0.0376053452,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0369677059,
            0.0362381563,
            0.0355086066,
            0.0347790569,
            0.0340495072,
            0.0333199576,
            0.0325904079,
            0.0318608582,
            0.0311313085,
            0.0304017588,
            0.0296722092,
            0.0289426595,
            0.0282131098,
            0.0274835601,
            0.0267540105,
            0.0260244608,
            0.0250995997,
            0.0236405004,
            0.022181401,
            0.0207223017,
            0.0192632023,
            0.017804103,
            0.0163450055,
            0.0148859052,
            0.0134268058,
            0.0119677065,
            0.0105086081,
            0.00904950872,
            0.00759040937,
            0.00613131002,
            0.00467221066,
            0.00321311131,
            0.00182294636,
            0.000850213575,
            -0.00012251921,
            -0.00109525211,
            -0.00206798501,
            -0.00304071745,
            -0.00401345035,
            -0.00498618325,
            -0.00595891569,
            -0.00693164859,
            -0.00790438149,
            -0.00887711439,
            -0.00984984729,
            -0.0108225802,
            -0.0117953122,
            -0.0127680451,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0128599573,
            -0.0118872244,
            -0.0109144915,
            -0.00994175859,
            -0.00896902569,
            -0.00799629278,
            -0.00702356035,
            -0.00605082791,
            -0.00507809501,
            -0.00410536211,
            -0.00313262921,
            -0.00215989631,
            -0.00118716341,
            -0.000214431435,
            0.000758301467,
            0.00173103437,
            0.00121786061,
            0.000245127827,
            -0.000727605075,
            -0.00170033774,
            -0.00267307041,
            -0.00364580331,
            -0.00461853622,
            -0.00559126865,
            -0.00656400155,
            -0.00753673445,
            -0.00850946736,
            -0.00948220026,
            -0.0104549332,
            -0.0114276651,
            -0.012400398,
            -0.0133731309,
            -0.014656066,
            -0.0161151662,
            -0.0175742637,
            -0.0190333631,
            -0.0204924624,
            -0.0219515618,
            -0.0234106611,
            -0.0248697605,
            -0.0263288599,
            -0.0277879592,
            -0.0292470567,
            -0.0307061579,
            -0.0321652554,
            -0.0336243547,
            -0.0350834541,
            -0.0365425535,
            -0.0376282632,
            -0.0383578092,
            -0.0390873589,
            -0.0398169085,
            -0.0405464582,
            -0.0412760079,
            -0.0420055576,
            -0.0427351072,
            -0.0434646569,
            -0.0441942066,
            -0.0449237563,
            -0.0456533059,
            -0.0463828556,
            -0.0471124053,
            -0.047841955,
            -0.0485715047,
            -0.0496763624,
            -0.051378645,
            -0.0530809276,
            -0.0547832102,
            -0.056485489,
            -0.0581877753,
            -0.0598900542,
            -0.0615923367,
            -0.0632946193,
            -0.0649968982,
            -0.0666991845,
            -0.0684014708,
            -0.0701037496,
            -0.0718060285,
            -0.0735083148,
            -0.0752106011,
            -0.0770392567,
            -0.079227902,
            -0.0814165473,
            -0.0836052001,
            -0.0857938454,
            -0.0879824907,
            -0.090171136,
            -0.0923597813,
            -0.094548434,
            -0.0967370793,
            -0.0989257246,
            -0.101114377,
            -0.103303023,
            -0.105491668,
            -0.107680313,
            -0.109868959,
            -0.111992508,
            -0.113694787,
            -0.115397073,
            -0.11709936,
            -0.118801646,
            -0.120503932,
            -0.122206219,
            -0.123908505,
            -0.125610799,
            -0.127313077,
            -0.129015371,
            -0.13071765,
            -0.132419944,
            -0.134122223,
            -0.135824502,
            -0.137526795,
            -0.13922143,
            -0.139950976,
            -0.140680522,
            -0.141410068,
            -0.142139614,
            -0.142869174,
            -0.14359872,
            -0.144328266,
            -0.145057812,
            -0.145787373,
            -0.146516919,
            -0.147246465,
            -0.147976011,
            -0.148705572,
            -0.149435118,
            -0.150164664,
            -0.15089421,
            -0.151623771,
            -0.152353317,
            -0.153082862,
            -0.153812408,
            -0.154541969,
            -0.155271515,
            -0.156001061,
            -0.156730607,
            -0.157460168,
            -0.158189714,
            -0.15891926,
            -0.159648806,
            -0.160378367,
            -0.161107913,
            -0.161837459,
            -0.162567005,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.16311273,
            -0.163842291,
            -0.164571837,
            -0.165301383,
            -0.166030928,
            -0.166760489,
            -0.167490035,
            -0.168219581,
            -0.168949127,
            -0.169678688,
            -0.170408234,
            -0.17113778,
            -0.171867326,
            -0.172596887,
            -0.173326433,
            -0.174055979,
            -0.174785525,
            -0.175515085,
            -0.176244631,
            -0.176974177,
            -0.177703723,
            -0.178433269,
            -0.17916283,
            -0.179892376,
            -0.180621922,
            -0.181351468,
            -0.182081029,
            -0.182810575,
            -0.183540121,
            -0.184269667,
            -0.184999228,
            -0.185728773,
            -0.186703414,
            -0.188405707,
            -0.190107986,
            -0.191810265,
            -0.193512544,
            -0.195214838,
            -0.196917117,
            -0.198619395,
            -0.200321674,
            -0.202023968,
            -0.203726247,
            -0.205428526,
            -0.207130805,
            -0.208833098,
            -0.210535377,
            -0.212237656,
            -0.213817388,
            -0.214546934,
            -0.215276495,
            -0.216006041,
            -0.216735587,
            -0.217465132,
            -0.218194693,
            -0.218924239,
            -0.219653785,
            -0.220383331,
            -0.221112892,
            -0.221842438,
            -0.222571984,
            -0.22330153,
            -0.224031091,
            -0.224760637
          ],
          [
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213365495,
            -0.212392762,
            -0.211420029,
            -0.210447297,
            -0.209474564,
            -0.208501831,
            -0.207529098,
            -0.206556365,
            -0.205583632,
            -0.204610899,
            -0.203638166,
            -0.202665433,
            -0.2016927,
            -0.200719967,
            -0.199747235,
            -0.198774502,
            -0.19786112,
            -0.197131574,
            -0.196402028,
            -0.195672482,
            -0.194942921,
            -0.194213375,
            -0.193483829,
            -0.192754284,
            -0.192024723,
            -0.191295177,
            -0.190565631,
            -0.189836085,
            -0.189106524,
            -0.188376978,
            -0.187647432,
            -0.186917886,
            -0.186360672,
            -0.187090218,
            -0.187819764,
            -0.18854931,
            -0.189278871,
            -0.190008417,
            -0.190737963,
            -0.191467509,
            -0.19219707,
            -0.192926615,
            -0.193656161,
            -0.194385707,
            -0.195115268,
            -0.195844814,
            -0.19657436,
            -0.197303906,
            -0.198033452,
            -0.199004278,
            -0.19997701,
            -0.200949743,
            -0.201922476,
            -0.202895209,
            -0.203867942,
            -0.204840675,
            -0.205813408,
            -0.206786141,
            -0.207758874,
            -0.208731607,
            -0.20970434,
            -0.210677072,
            -0.211649805,
            -0.212622538,
            -0.213595271,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.214805439,
            -0.216264546,
            -0.217723638,
            -0.219182745,
            -0.220641837,
            -0.222100943,
            -0.223560035,
            -0.225019127,
            -0.226478234,
            -0.227937341,
            -0.229396433,
            -0.230855525,
            -0.232314631,
            -0.233773738,
            -0.23523283,
            -0.236691922,
            -0.238151029,
            -0.239610136,
            -0.241069227,
            -0.242528334,
            -0.243987426,
            -0.245446533,
            -0.24690564,
            -0.248364732,
            -0.249823838,
            -0.25128293,
            -0.252742052,
            -0.254201144,
            -0.255660236,
            -0.257119358,
            -0.258578449,
            -0.260037541,
            -0.261615366,
            -0.263317645,
            -0.265019923,
            -0.266722202,
            -0.268424481,
            -0.27012676,
            -0.271829039,
            -0.273531318,
            -0.275233597,
            -0.276935875,
            -0.278638154,
            -0.280340433,
            -0.282042742,
            -0.283745021,
            -0.285447299,
            -0.287149578,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.288235277,
            -0.28760913,
            -0.286879569,
            -0.286150038,
            -0.285420477,
            -0.284690917,
            -0.283961385,
            -0.283231825,
            -0.282502294,
            -0.281772733,
            -0.281043172,
            -0.280313641,
            -0.27958408,
            -0.278854519,
            -0.278124988,
            -0.277395427,
            -0.276665896,
            -0.27522403,
            -0.273521721,
            -0.271819443,
            -0.270117164,
            -0.268414885,
            -0.266712606,
            -0.265010327,
            -0.263308048,
            -0.261605769,
            -0.259903491,
            -0.258201182,
            -0.256498903,
            -0.254796624,
            -0.253094345,
            -0.251392066,
            -0.249689788,
            -0.248577267,
            -0.247847721,
            -0.247118175,
            -0.246388614,
            -0.245659068,
            -0.244929522,
            -0.244199976,
            -0.243470415,
            -0.24274087,
            -0.242011324,
            -0.241281778,
            -0.240552217,
            -0.239822671,
            -0.239093125,
            -0.238363579,
            -0.237634018,
            -0.236904472,
            -0.236174926,
            -0.23544538,
            -0.234715819,
            -0.233986273,
            -0.233256727,
            -0.232527182,
            -0.231797621,
            -0.231068075,
            -0.230338529,
            -0.229608983,
            -0.228879422,
            -0.228149876,
            -0.22742033,
            -0.226690784,
            -0.225961238,
            -0.225231677,
            -0.224502131,
            -0.223772585,
            -0.223043025,
            -0.222313479,
            -0.221583933,
            -0.220854387,
            -0.220124841,
            -0.21939528,
            -0.218665734,
            -0.217936188,
            -0.217206642,
            -0.216477081,
            -0.215747535,
            -0.215017989,
            -0.214288443,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213551223,
            -0.211848944,
            -0.210146666,
            -0.208444387,
            -0.206742093,
            -0.205039814,
            -0.203337535,
            -0.201635256,
            -0.199932963,
            -0.198230684,
            -0.196528405,
            -0.194826126,
            -0.193123847,
            -0.191421553,
            -0.189719275,
            -0.188016996,
            -0.186314702,
            -0.184137553,
            -0.1819489,
            -0.179760247,
            -0.17757161,
            -0.175382957,
            -0.173194304,
            -0.171005651,
            -0.168817014,
            -0.166628361,
            -0.164439708,
            -0.162251055,
            -0.160062417,
            -0.157873765,
            -0.155685112,
            -0.153496474,
            -0.151307821,
            -0.14891237,
            -0.146480531,
            -0.144048691,
            -0.141616851,
            -0.139185026,
            -0.136753187,
            -0.134321347,
            -0.131889522,
            -0.129457682,
            -0.127025843,
            -0.12459401,
            -0.122162171,
            -0.119730338,
            -0.117298499,
            -0.114866666,
            -0.112434834,
            -0.111236148,
            -0.110506602,
            -0.109777056,
            -0.109047502,
            -0.108317956,
            -0.10758841,
            -0.106858864,
            -0.106129311,
            -0.105399765,
            -0.104670219,
            -0.103940673,
            -0.10321112,
            -0.102481574,
            -0.101752028,
            -0.101022482,
            -0.100292936,
            -0.0991268009,
            -0.0976677015,
            -0.0962086022,
            -0.0947495028,
            -0.0932904035,
            -0.0918313041,
            -0.0903722048,
            -0.0889131054,
            -0.0874540061,
            -0.0859949067,
            -0.0845358074,
            -0.0830767155,
            -0.0816176087,
            -0.0801585168,
            -0.07869941,
            -0.0772403181,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0762560964,
            -0.0752833635,
            -0.0743106306,
            -0.0733378977,
            -0.0723651648,
            -0.0713924319,
            -0.070419699,
            -0.0694469661,
            -0.0684742332,
            -0.0675015002,
            -0.0665287673,
            -0.0655560344,
            -0.0645833015,
            -0.0636105686,
            -0.0626378357,
            -0.0616651028,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0593711361,
            -0.0579120368,
            -0.0564529374,
            -0.0549938381,
            -0.0535347387,
            -0.0520756394,
            -0.05061654,
            -0.0491574407,
            -0.0476983413,
            -0.0462392457,
            -0.0447801426,
            -0.043321047,
            -0.0418619476,
            -0.0404028483,
            -0.0389437489,
            -0.0374846496,
            -0.0366402119,
            -0.0359106585,
            -0.0351811126,
            -0.0344515629,
            -0.0337220132,
            -0.0329924636,
            -0.0322629139,
            -0.0315333642,
            -0.0308038127,
            -0.0300742649,
            -0.0293447152,
            -0.0286151655,
            -0.0278856158,
            -0.0271560661,
            -0.0264265165,
            -0.0256969668,
            -0.0249674171,
            -0.0242378674,
            -0.0235083178,
            -0.0227787681,
            -0.0220492184,
            -0.0213196687,
            -0.0205901191,
            -0.0198605694,
            -0.0191310197,
            -0.01840147,
            -0.0176719204,
            -0.0169423707,
            -0.016212821,
            -0.0154832723,
            -0.0147537226,
            -0.0140241729,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0133961095,
            -0.0124233766,
            -0.0114506437,
            -0.0104779107,
            -0.00950517785,
            -0.00853244495,
            -0.00755971251,
            -0.00658697961,
            -0.00561424717,
            -0.00464151427,
            -0.00366878137,
            -0.00269604847,
            -0.00172331557,
            -0.000750582665,
            0.000222150236,
            0.00119488314,
            0.00227101613,
            0.00373011548,
            0.00518921483,
            0.00664831372,
            0.00810741261,
            0.00956651196,
            0.0110256113,
            0.0124847107,
            0.01394381,
            0.0154029084,
            0.0168620087,
            0.0183211081,
            0.0197802056,
            0.0212393049,
            0.0226984043,
            0.0241575036,
            0.0255534146,
            0.0262829624,
            0.0270125121,
            0.0277420618,
            0.0284716114,
            0.0292011611,
            0.0299307108,
            0.0306602605,
            0.0313898101,
            0.0321193598,
            0.0328489095,
            0.0335784592,
            0.0343080088,
            0.0350375585,
            0.0357671082,
            0.0364966579,
            0.0372262076,
            0.0379557572,
            0.0386853069,
            0.0394148566,
            0.0401444063,
            0.0408739559,
            0.0416035056,
            0.0423330553,
            0.043062605,
            0.0437921546,
            0.0445217043,
            0.0452512503,
            0.0459808037,
            0.0467103496,
            0.047439903,
            0.048169449,
            0.0488990024,
            0.0496285483,
            0.050358098,
            0.0510876477,
            0.0518171974,
            0.052546747,
            0.0532762967,
            0.0540058464,
            0.0547353961,
            0.0554649457,
            0.0561944954,
            0.0569240451,
            0.0576535948,
            0.0583831444,
            0.0591126941,
            0.0598422438,
            0.0605717935,
            0.061990682,
            0.0636929646,
            0.0653952435,
            0.0670975298,
            0.0687998086,
            0.0705020949,
            0.0722043738,
            0.0739066601,
            0.0756089389,
            0.0773112252,
            0.0790135041,
            0.0807157904,
            0.0824180692,
            0.0841203481,
            0.0858226344,
            0.0875249207,
            0.0886604115,
            0.0893899575,
            0.0901195109,
            0.0908490568,
            0.0915786102,
            0.0923081562,
            0.0930377096,
            0.0937672555,
            0.0944968089,
            0.0952263549,
            0.0959559083,
            0.0966854542,
            0.0974150077,
            0.0981445536,
            0.098874107,
            0.099603653,
            0.100333206,
            0.101062752,
            0.101792306,
            0.102521852,
            0.103251405,
            0.103980951,
            0.104710504,
            0.10544005,
            0.106169604,
            0.10689915,
            0.107628703,
            0.108358249,
            0.109087795,
            0.109817348,
            0.110546902,
            0.111276448,
            0.112005994,
            0.112735547,
            0.113465093,
            0.114194646,
            0.114924192,
            0.115653746,
            0.116383292,
            0.117112845,
            0.117842391,
            0.118571945,
            0.11930149,
            0.120031044,
            0.12076059,
            0.121490143,
            0.122219689,
            0.122949243,
            0.123728573,
            0.124701306,
            0.125674039,
            0.126646772,
            0.127619505,
            0.128592238,
            0.129564971,
            0.130537704,
            0.131510437,
            0.132483169,
            0.133455902,
            0.134428635,
            0.135401368,
            0.136374101,
            0.137346834,
            0.138319567,
            0.139273152,
            0.140002698,
            0.140732259,
            0.141461805,
            0.14219135,
            0.142920896,
            0.143650457,
            0.144380003,
            0.145109549,
            0.145839095,
            0.146568656,
            0.147298202,
            0.148027748,
            0.148757294,
            0.14948684,
            0.150216401,
            0.150945947,
            0.151675493,
            0.152405053,
            0.153134599,
            0.15386416,
            0.154593706,
            0.155323267,
            0.156052813,
            0.156782374,
            0.15751192,
            0.158241481,
            0.158971027,
            0.159700587,
            0.160430133,
            0.161159694,
            0.16188924,
            0.162618801,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163767695,
            0.165226787,
            0.166685879,
            0.168144986,
            0.169604078,
            0.17106317,
            0.172522262,
            0.173981369,
            0.17544046,
            0.176899552,
            0.178358644,
            0.179817736,
            0.181276843,
            0.182735935,
            0.184195027,
            0.185654134,
            0.186833665,
            0.187806398,
            0.188779131,
            0.189751863,
            0.190724611,
            0.191697344,
            0.192670077,
            0.19364281,
            0.194615558,
            0.195588291,
            0.196561024,
            0.197533756,
            0.198506504,
            0.199479237,
            0.20045197,
            0.201424703,
            0.202615738,
            0.20407483,
            0.205533922,
            0.206993014,
            0.20845212,
            0.209911212,
            0.211370304,
            0.212829396,
            0.214288503,
            0.215747595,
            0.217206687,
            0.218665779,
            0.220124871,
            0.221583977,
            0.223043069,
            0.224502161,
            0.22572574,
            0.226455286,
            0.227184832,
            0.227914378,
            0.228643939,
            0.229373485,
            0.230103031,
            0.230832577,
            0.231562138,
            0.232291684,
            0.23302123,
            0.233750775,
            0.234480336,
            0.235209882,
            0.235939428,
            0.236668974,
            0.237398535,
            0.238128081,
            0.238857627,
            0.239587173,
            0.240316734,
            0.24104628,
            0.241775826,
            0.242505372,
            0.243234932,
            0.243964478,
            0.244694024,
            0.24542357,
            0.246153131,
            0.246882677,
            0.247612223,
            0.248341769,
            0.24907133,
            0.249800876,
            0.250530422,
            0.251259983,
            0.251989543,
            0.252719104,
            0.253448635,
            0.254178196,
            0.254907757,
            0.255637288,
            0.256366849,
            0.25709641,
            0.257825971,
            0.258555532,
            0.259285063,
            0.260014623,
            0.260744184,
            0.261703521,
            0.262676239,
            0.263648987,
            0.264621705,
            0.265594453,
            0.2665672,
            0.267539918,
            0.268512666,
            0.269485414,
            0.270458132,
            0.27143088,
            0.272403598,
            0.273376346,
            0.274349093,
            0.275321811,
            0.276294559,
            0.275674134,
            0.274701416,
            0.273728669,
            0.272755951,
            0.271783203,
            0.270810455,
            0.269837737,
            0.268864989,
            0.267892271,
            0.266919523,
            0.265946776,
            0.264974058,
            0.26400131,
            0.263028562,
            0.262055844,
            0.261083096,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.26133585,
            0.262308598,
            0.263281345,
            0.264254063,
            0.265226811,
            0.266199529,
            0.267172277,
            0.268145025,
            0.269117743,
            0.270090491,
            0.271063238,
            0.272035956,
            0.273008704,
            0.273981422,
            0.27495417,
            0.275926918,
            0.277114093,
            0.278573185,
            0.280032307,
            0.281491399,
            0.282950491,
            0.284409583,
            0.285868675,
            0.287327766,
            0.288786858,
            0.29024595,
            0.291705042,
            0.293164164,
            0.294623256,
            0.296082348,
            0.29754144,
            0.299000531,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300137937,
            0.300867498,
            0.301597029,
            0.30232659,
            0.303056151,
            0.303785682,
            0.304515243,
            0.305244774,
            0.305974334,
            0.306703895,
            0.307433426,
            0.308162987,
            0.308892548,
            0.309622079,
            0.31035164,
            0.311081171,
            0.311810732,
            0.312540293,
            0.313269824,
            0.313999385,
            0.314728945,
            0.315458477,
            0.316188037,
            0.316917568,
            0.317647129,
            0.31837669,
            0.319106221,
            0.319835782,
            0.320565343,
            0.321294874,
            0.322024435,
            0.322753966,
            0.323483527,
            0.324440926,
            0.325413674,
            0.326386392,
            0.32735914,
            0.328331858,
            0.329304606,
            0.330277324,
            0.331250072,
            0.33222279,
            0.333195537,
            0.334168255,
            0.335141003,
            0.336113721,
            0.337086469,
            0.338059187,
            0.339031935,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.338549405,
            0.337576658,
            0.33660394,
            0.335631192,
            0.334658474,
            0.333685726,
            0.332713008,
            0.33174026,
            0.330767542,
            0.329794794,
            0.328822076,
            0.327849329,
            0.326876611,
            0.325903863,
            0.324931145,
            0.323958397,
            0.323121637,
            0.322392076,
            0.321662515,
            0.320932984,
            0.320203424,
            0.319473863,
            0.318744332,
            0.318014771,
            0.31728524,
            0.316555679,
            0.315826118,
            0.315096587,
            0.314367026,
            0.313637465,
            0.312907934,
            0.312178373,
            0.311448842,
            0.310719281,
            0.309989721,
            0.30926019,
            0.308530629,
            0.307801068,
            0.307071537,
            0.306341976,
            0.305612445,
            0.304882884,
            0.304153323,
            0.303423792,
            0.302694231,
            0.3019647,
            0.301235139,
            0.300505579,
            0.299776047,
            0.299046487,
            0.298316926,
            0.297587395,
            0.296857834,
            0.296128303,
            0.295398742,
            0.294669181,
            0.29393965,
            0.293210089,
            0.292480528,
            0.291750997,
            0.291021436,
            0.290291905,
            0.289562345,
            0.288832784,
            0.288103253,
            0.287373692,
            0.286644161,
            0.2859146,
            0.285185069,
            0.284455508,
            0.283725977,
            0.282996416,
            0.282266885,
            0.281537324,
            0.280807793,
            0.280078232,
            0.279348701,
            0.27861914,
            0.277889609,
            0.277160048,
            0.276417106,
            0.275444359,
            0.274471641,
            0.273498893,
            0.272526145,
            0.271553427,
            0.270580679,
            0.269607961,
            0.268635213,
            0.267662466,
            0.266689748,
            0.265717,
            0.264744282,
            0.263771534,
            0.262798786,
            0.261826068,
            0.26085332,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260198444,
            0.259468883,
            0.258739352,
            0.258009791,
            0.257280231,
            0.25655067,
            0.255821139,
            0.255091578,
            0.254362017,
            0.253632456,
            0.252902925,
            0.252173364,
            0.251443803,
            0.250714242,
            0.249984697,
            0.249255151,
            0.249513656,
            0.250243217,
            0.250972748,
            0.251702309,
            0.25243187,
            0.25316143,
            0.253890961,
            0.254620522,
            0.255350083,
            0.256079644,
            0.256809175,
            0.257538736,
            0.258268297,
            0.258997858,
            0.259727389,
            0.260456949,
            0.260382265,
            0.259652704,
            0.258923173,
            0.258193612,
            0.257464051,
            0.25673449,
            0.256004959,
            0.255275398,
            0.254545838,
            0.253816307,
            0.253086746,
            0.252357185,
            0.251627624,
            0.250898093,
            0.250168532,
            0.249438971,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.248801336,
            0.24807179,
            0.247342229,
            0.246612683,
            0.245883137,
            0.245153591,
            0.24442403,
            0.243694484,
            0.242964938,
            0.242235392,
            0.241505831,
            0.240776286,
            0.24004674,
            0.239317194,
            0.238587633,
            0.237858087,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.236674726,
            0.23594518,
            0.235215619,
            0.234486073,
            0.233756527,
            0.233026981,
            0.232297421,
            0.231567875,
            0.230838329,
            0.230108783,
            0.229379222,
            0.228649676,
            0.22792013,
            0.227190584,
            0.226461023,
            0.225731477,
            0.225978494,
            0.22670804,
            0.227437586,
            0.228167146,
            0.228896692,
            0.229626238,
            0.230355784,
            0.231085345,
            0.231814891,
            0.232544437,
            0.233273983,
            0.234003544,
            0.23473309,
            0.235462636,
            0.236192182,
            0.236921743,
            0.237651289,
            0.238380834,
            0.23911038,
            0.239839941,
            0.240569487,
            0.241299033,
            0.242028579,
            0.24275814,
            0.243487686,
            0.244217232,
            0.244946778,
            0.245676339,
            0.246405885,
            0.247135431,
            0.247864977,
            0.248594537,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249515563,
            0.251217842,
            0.252920151,
            0.25462243,
            0.256324738,
            0.258027017,
            0.259729296,
            0.261431605,
            0.263133883,
            0.264836162,
            0.266538471,
            0.26824075,
            0.269943058,
            0.271645337,
            0.273347616,
            0.275049925,
            0.276591361,
            0.277320892,
            0.278050452,
            0.278779984,
            0.279509544,
            0.280239075,
            0.280968636,
            0.281698167,
            0.282427728,
            0.283157259,
            0.28388682,
            0.284616351,
            0.285345912,
            0.286075443,
            0.286805004,
            0.287534535,
            0.288264096,
            0.288993627,
            0.289723188,
            0.290452749,
            0.29118228,
            0.29191184,
            0.292641401,
            0.293370932,
            0.294100493,
            0.294830024,
            0.295559585,
            0.296289146,
            0.297018677,
            0.297748238,
            0.298477769,
            0.29920733,
            0.299936891,
            0.299333721,
            0.298604161,
            0.2978746,
            0.297145069,
            0.296415508,
            0.295685977,
            0.294956416,
            0.294226855,
            0.293497324,
            0.292767763,
            0.292038202,
            0.291308671,
            0.29057911,
            0.289849579,
            0.289120018,
            0.288390458,
            0.287660927,
            0.286931366,
            0.286201835,
            0.285472274,
            0.284742743,
            0.284013182,
            0.283283651,
            0.28255409,
            0.281824559,
            0.281094998,
            0.280365467,
            0.279635906,
            0.278906375,
            0.278176814,
            0.277447283,
            0.276717722,
            0.275827348,
            0.2748546,
            0.273881853,
            0.272909135,
            0.271936387,
            0.270963639,
            0.269990921,
            0.269018173,
            0.268045455,
            0.267072707,
            0.26609996,
            0.265127242,
            0.264154494,
            0.263181776,
            0.262209028,
            0.26123628,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260370791,
            0.258911669,
            0.257452577,
            0.255993485,
            0.254534364,
            0.253075272,
            0.25161618,
            0.250157058,
            0.248697966,
            0.24723886,
            0.245779753,
            0.244320646,
            0.242861554,
            0.241402447,
            0.23994334,
            0.238484234,
            0.23714003,
            0.236410484,
            0.235680923,
            0.234951377,
            0.234221831,
            0.233492285,
            0.232762724,
            0.232033178,
            0.231303632,
            0.230574086,
            0.229844525,
            0.22911498,
            0.228385434,
            0.227655888,
            0.226926327,
            0.226196781,
            0.22541362,
            0.222981781,
            0.220549956,
            0.218118116,
            0.215686291,
            0.213254452,
            0.210822627,
            0.208390802,
            0.205958962,
            0.203527138,
            0.201095298,
            0.198663473,
            0.196231633,
            0.193799809,
            0.191367969,
            0.188936144,
            0.186504304,
            0.185613915,
            0.184884369,
            0.184154809,
            0.183425263,
            0.182695717,
            0.181966171,
            0.18123661,
            0.180507064,
            0.179777518,
            0.179047972,
            0.178318411,
            0.177588865,
            0.176859319,
            0.176129773,
            0.175400212,
            0.174670666,
            0.173941121,
            0.173211575,
            0.172482029,
            0.171752483,
            0.171022937,
            0.170293391,
            0.169563845,
            0.168834299,
            0.168104753,
            0.167375207,
            0.166645661,
            0.165916115,
            0.165186569,
            0.164457023,
            0.163727477,
            0.162997931,
            0.162268385,
            0.161538824,
            0.160809278,
            0.160079718,
            0.159350172,
            0.158620611,
            0.157891065,
            0.157161504,
            0.156431958,
            0.155702397,
            0.154972851,
            0.15424329,
            0.153513744,
            0.152784184,
            0.152054638,
            0.151325077,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150296822,
            0.148594543,
            0.14689225,
            0.145189971,
            0.143487692,
            0.141785413,
            0.140083119,
            0.13838084,
            0.136678562,
            0.134976283,
            0.133273989,
            0.13157171,
            0.129869431,
            0.128167152,
            0.126464874,
            0.12476258,
            0.123127319,
            0.12166822,
            0.12020912,
            0.118750021,
            0.117290922,
            0.115831822,
            0.114372723,
            0.112913623,
            0.111454524,
            0.109995425,
            0.108536325,
            0.107077226,
            0.105618134,
            0.104159027,
            0.102699935,
            0.101240829,
            0.0998908803,
            0.0991613269,
            0.0984317809,
            0.0977022275,
            0.0969726816,
            0.0962431282,
            0.0955135822,
            0.0947840288,
            0.0940544829,
            0.0933249295,
            0.0925953835,
            0.0918658301,
            0.0911362842,
            0.0904067308,
            0.0896771848,
            0.0889476389,
            0.0882180855,
            0.0874885321,
            0.0867589861,
            0.0860294402,
            0.0852998868,
            0.0845703408,
            0.0838407874,
            0.0831112415,
            0.0823816881,
            0.0816521421,
            0.0809225887,
            0.0801930428,
            0.0794634894,
            0.0787339434,
            0.07800439,
            0.0772748441,
            0.0765452906,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0751570389,
            0.07345476,
            0.0717524737,
            0.0700501949,
            0.0683479086,
            0.0666456297,
            0.0649433434,
            0.0632410645,
            0.061538782,
            0.0598364994,
            0.0581342168,
            0.0564319342,
            0.0547296554,
            0.0530273691,
            0.0513250902,
            0.0496228039,
            0.0485485867,
            0.047819037,
            0.0470894873,
            0.0463599376,
            0.045630388,
            0.0449008383,
            0.0441712886,
            0.0434417389,
            0.0427121893,
            0.0419826396,
            0.0412530899,
            0.0405235402,
            0.0397939906,
            0.0390644446,
            0.0383348912,
            0.0376053452,
            0.0368757918,
            0.0361462422,
            0.0354166925,
            0.0346871465,
            0.0339575969,
            0.0332280472,
            0.0324984975,
            0.0317689478,
            0.0310393963,
            0.0303098466,
            0.0295802988,
            0.0288507491,
            0.0281211995,
            0.0273916498,
            0.0266621001,
            0.0259325504,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0252949111,
            0.0245653614,
            0.0238358118,
            0.0231062621,
            0.0223767143,
            0.0216471646,
            0.0209176149,
            0.0201880652,
            0.0194585156,
            0.0187289659,
            0.0179994162,
            0.0172698665,
            0.0165403169,
            0.0158107672,
            0.0150812175,
            0.0143516678,
            0.0136221182,
            0.0128925685,
            0.0121630188,
            0.0114334691,
            0.0107039204,
            0.00997437071,
            0.00924482103,
            0.00851527136,
            0.00778572168,
            0.00705617201,
            0.00632662233,
            0.00559707265,
            0.00486752298,
            0.00413797423,
            0.00340842456,
            0.00267887488,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00121786061,
            0.000245127827,
            -0.000727605075,
            -0.00170033774,
            -0.00267307041,
            -0.00364580331,
            -0.00461853622,
            -0.00559126865,
            -0.00656400155,
            -0.00753673445,
            -0.00850946736,
            -0.00948220026,
            -0.0104549332,
            -0.0114276651,
            -0.012400398,
            -0.0133731309,
            -0.014656066,
            -0.0161151662,
            -0.0175742637,
            -0.0190333631,
            -0.0204924624,
            -0.0219515618,
            -0.0234106611,
            -0.0248697605,
            -0.0263288599,
            -0.0277879592,
            -0.0292470567,
            -0.0307061579,
            -0.0321652554,
            -0.0336243547,
            -0.0350834541,
            -0.0365425535,
            -0.0380016528,
            -0.0394607522,
            -0.0409198515,
            -0.0423789509,
            -0.0438380502,
            -0.0452971496,
            -0.0467562489,
            -0.0482153483,
            -0.0496744476,
            -0.0511335433,
            -0.0525926426,
            -0.054051742,
            -0.0555108413,
            -0.0569699407,
            -0.05842904,
            -0.0598881394,
            -0.0614410676,
            -0.0631433502,
            -0.064845629,
            -0.0665479153,
            -0.0682501942,
            -0.0699524805,
            -0.0716547593,
            -0.0733570457,
            -0.0750593245,
            -0.0767616034,
            -0.0784638897,
            -0.080166176,
            -0.0818684548,
            -0.0835707337,
            -0.08527302,
            -0.0869753063,
            -0.0888039619,
            -0.0909926146,
            -0.0931812599,
            -0.0953699127,
            -0.097558558,
            -0.0997472107,
            -0.101935856,
            -0.104124501,
            -0.106313154,
            -0.108501799,
            -0.110690452,
            -0.112879097,
            -0.11506775,
            -0.117256396,
            -0.119445048,
            -0.121633694,
            -0.123757236,
            -0.125459522,
            -0.127161801,
            -0.128864095,
            -0.130566373,
            -0.132268667,
            -0.133970946,
            -0.135673225,
            -0.137375519,
            -0.139077798,
            -0.140780076,
            -0.14248237,
            -0.144184649,
            -0.145886928,
            -0.147589222,
            -0.1492915,
            -0.150991872,
            -0.152450979,
            -0.153910071,
            -0.155369163,
            -0.156828269,
            -0.158287361,
            -0.159746468,
            -0.16120556,
            -0.162664667,
            -0.164123759,
            -0.165582865,
            -0.167041957,
            -0.168501064,
            -0.169960156,
            -0.171419263,
            -0.172878355,
            -0.174337462,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174785525,
            -0.175515085,
            -0.176244631,
            -0.176974177,
            -0.177703723,
            -0.178433269,
            -0.17916283,
            -0.179892376,
            -0.180621922,
            -0.181351468,
            -0.182081029,
            -0.182810575,
            -0.183540121,
            -0.184269667,
            -0.184999228,
            -0.185728773,
            -0.186458319,
            -0.187187865,
            -0.187917426,
            -0.188646972,
            -0.189376518,
            -0.190106064,
            -0.190835625,
            -0.191565171,
            -0.192294717,
            -0.193024263,
            -0.193753824,
            -0.19448337,
            -0.195212916,
            -0.195942461,
            -0.196672022,
            -0.197401568,
            -0.198161751,
            -0.199134484,
            -0.200107217,
            -0.20107995,
            -0.202052683,
            -0.203025416,
            -0.203998148,
            -0.204970881,
            -0.205943614,
            -0.206916347,
            -0.20788908,
            -0.208861813,
            -0.209834546,
            -0.210807279,
            -0.211780012,
            -0.212752745
          ],
          [
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.19888173,
            -0.199854463,
            -0.200827196,
            -0.201799929,
            -0.202772662,
            -0.203745395,
            -0.204718128,
            -0.205690861,
            -0.206663594,
            -0.207636327,
            -0.208609059,
            -0.209581792,
            -0.210554525,
            -0.211527258,
            -0.212499991,
            -0.213472724,
            -0.214805439,
            -0.216264546,
            -0.217723638,
            -0.219182745,
            -0.220641837,
            -0.222100943,
            -0.223560035,
            -0.225019127,
            -0.226478234,
            -0.227937341,
            -0.229396433,
            -0.230855525,
            -0.232314631,
            -0.233773738,
            -0.23523283,
            -0.236691922,
            -0.238151029,
            -0.239610136,
            -0.241069227,
            -0.242528334,
            -0.243987426,
            -0.245446533,
            -0.24690564,
            -0.248364732,
            -0.249823838,
            -0.25128293,
            -0.252742052,
            -0.254201144,
            -0.255660236,
            -0.257119358,
            -0.258578449,
            -0.260037541,
            -0.261259198,
            -0.262231946,
            -0.263204664,
            -0.264177412,
            -0.26515013,
            -0.266122848,
            -0.267095596,
            -0.268068314,
            -0.269041061,
            -0.270013779,
            -0.270986527,
            -0.271959245,
            -0.272931963,
            -0.273904711,
            -0.274877429,
            -0.275850177,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.275635719,
            -0.274662971,
            -0.273690253,
            -0.272717506,
            -0.271744788,
            -0.27077204,
            -0.269799322,
            -0.268826604,
            -0.267853856,
            -0.266881138,
            -0.26590839,
            -0.264935672,
            -0.263962924,
            -0.262990206,
            -0.262017488,
            -0.261044741,
            -0.259715855,
            -0.258256763,
            -0.256797642,
            -0.25533855,
            -0.253879458,
            -0.252420336,
            -0.250961244,
            -0.249502152,
            -0.248043045,
            -0.246583939,
            -0.245124847,
            -0.24366574,
            -0.242206633,
            -0.240747541,
            -0.239288434,
            -0.237829342,
            -0.236812562,
            -0.236083016,
            -0.23535347,
            -0.234623909,
            -0.233894363,
            -0.233164817,
            -0.232435271,
            -0.23170571,
            -0.230976164,
            -0.230246618,
            -0.229517072,
            -0.228787512,
            -0.228057966,
            -0.22732842,
            -0.226598874,
            -0.225869313,
            -0.225139767,
            -0.224410221,
            -0.223680675,
            -0.222951114,
            -0.222221568,
            -0.221492022,
            -0.220762476,
            -0.220032915,
            -0.21930337,
            -0.218573824,
            -0.217844278,
            -0.217114717,
            -0.216385171,
            -0.215655625,
            -0.214926079,
            -0.214196533,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213551223,
            -0.211848944,
            -0.210146666,
            -0.208444387,
            -0.206742093,
            -0.205039814,
            -0.203337535,
            -0.201635256,
            -0.199932963,
            -0.198230684,
            -0.196528405,
            -0.194826126,
            -0.193123847,
            -0.191421553,
            -0.189719275,
            -0.188016996,
            -0.186314702,
            -0.184137553,
            -0.1819489,
            -0.179760247,
            -0.17757161,
            -0.175382957,
            -0.173194304,
            -0.171005651,
            -0.168817014,
            -0.166628361,
            -0.164439708,
            -0.162251055,
            -0.160062417,
            -0.157873765,
            -0.155685112,
            -0.153496474,
            -0.151307821,
            -0.149532765,
            -0.147830486,
            -0.146128207,
            -0.144425914,
            -0.142723635,
            -0.141021356,
            -0.139319062,
            -0.137616783,
            -0.135914505,
            -0.134212211,
            -0.132509932,
            -0.130807638,
            -0.129105359,
            -0.12740308,
            -0.125700787,
            -0.123998508,
            -0.123000883,
            -0.122271329,
            -0.121541776,
            -0.12081223,
            -0.120082676,
            -0.119353123,
            -0.11862357,
            -0.117894024,
            -0.11716447,
            -0.116434917,
            -0.115705363,
            -0.114975818,
            -0.114246264,
            -0.113516711,
            -0.112787157,
            -0.112057611,
            -0.111328058,
            -0.110598512,
            -0.109868966,
            -0.10913942,
            -0.108409867,
            -0.107680321,
            -0.106950775,
            -0.106221229,
            -0.105491675,
            -0.104762129,
            -0.104032584,
            -0.103303038,
            -0.102573484,
            -0.101843938,
            -0.101114392,
            -0.100384846,
            -0.0996552929,
            -0.098925747,
            -0.0981961936,
            -0.0974666476,
            -0.0967370942,
            -0.0960075483,
            -0.0952779949,
            -0.0945484489,
            -0.0938188955,
            -0.0930893496,
            -0.0923597962,
            -0.0916302502,
            -0.0909007043,
            -0.0901711509,
            -0.0894415975,
            -0.0887120515,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0881663263,
            -0.0874367729,
            -0.0867072269,
            -0.0859776735,
            -0.0852481276,
            -0.0845185742,
            -0.0837890282,
            -0.0830594748,
            -0.0823299289,
            -0.0816003755,
            -0.0808708295,
            -0.0801412761,
            -0.0794117302,
            -0.0786821842,
            -0.0779526308,
            -0.0772230774,
            -0.0764935315,
            -0.0748218894,
            -0.0731196031,
            -0.0714173242,
            -0.0697150379,
            -0.0680127591,
            -0.0663104728,
            -0.0646081939,
            -0.0629059076,
            -0.0612036288,
            -0.0595013462,
            -0.0577990636,
            -0.056096781,
            -0.0543944985,
            -0.0526922159,
            -0.0509899333,
            -0.0492876507,
            -0.0484049171,
            -0.0476753637,
            -0.0469458178,
            -0.0462162681,
            -0.0454867184,
            -0.0447571687,
            -0.0440276191,
            -0.0432980694,
            -0.0425685197,
            -0.04183897,
            -0.0411094204,
            -0.0403798707,
            -0.039650321,
            -0.0389207713,
            -0.0381912217,
            -0.037461672,
            -0.0367321223,
            -0.0360025726,
            -0.0352730229,
            -0.0345434733,
            -0.0338139236,
            -0.0330843739,
            -0.0323548242,
            -0.0316252746,
            -0.0308957249,
            -0.0301661752,
            -0.0294366255,
            -0.0287070759,
            -0.0279775262,
            -0.0272479765,
            -0.0265184268,
            -0.0257888772,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0251512397,
            -0.02442169,
            -0.0236921404,
            -0.0229625907,
            -0.022233041,
            -0.0215034932,
            -0.0207739435,
            -0.0200443938,
            -0.0193148442,
            -0.0185852945,
            -0.0178557448,
            -0.0171261951,
            -0.0163966455,
            -0.0156670958,
            -0.0149375461,
            -0.0142079964,
            -0.0133961095,
            -0.0124233766,
            -0.0114506437,
            -0.0104779107,
            -0.00950517785,
            -0.00853244495,
            -0.00755971251,
            -0.00658697961,
            -0.00561424717,
            -0.00464151427,
            -0.00366878137,
            -0.00269604847,
            -0.00172331557,
            -0.000750582665,
            0.000222150236,
            0.00119488314,
            0.00227101613,
            0.00373011548,
            0.00518921483,
            0.00664831372,
            0.00810741261,
            0.00956651196,
            0.0110256113,
            0.0124847107,
            0.01394381,
            0.0154029084,
            0.0168620087,
            0.0183211081,
            0.0197802056,
            0.0212393049,
            0.0226984043,
            0.0241575036,
            0.0255534146,
            0.0262829624,
            0.0270125121,
            0.0277420618,
            0.0284716114,
            0.0292011611,
            0.0299307108,
            0.0306602605,
            0.0313898101,
            0.0321193598,
            0.0328489095,
            0.0335784592,
            0.0343080088,
            0.0350375585,
            0.0357671082,
            0.0364966579,
            0.0372262076,
            0.0379557572,
            0.0386853069,
            0.0394148566,
            0.0401444063,
            0.0408739559,
            0.0416035056,
            0.0423330553,
            0.043062605,
            0.0437921546,
            0.0445217043,
            0.0452512503,
            0.0459808037,
            0.0467103496,
            0.047439903,
            0.048169449,
            0.0488990024,
            0.0496285483,
            0.050358098,
            0.0510876477,
            0.0518171974,
            0.052546747,
            0.0532762967,
            0.0540058464,
            0.0547353961,
            0.0554649457,
            0.0561944954,
            0.0569240451,
            0.0576535948,
            0.0583831444,
            0.0591126941,
            0.0598422438,
            0.0605717935,
            0.061990682,
            0.0636929646,
            0.0653952435,
            0.0670975298,
            0.0687998086,
            0.0705020949,
            0.0722043738,
            0.0739066601,
            0.0756089389,
            0.0773112252,
            0.0790135041,
            0.0807157904,
            0.0824180692,
            0.0841203481,
            0.0858226344,
            0.0875249207,
            0.0886604115,
            0.0893899575,
            0.0901195109,
            0.0908490568,
            0.0915786102,
            0.0923081562,
            0.0930377096,
            0.0937672555,
            0.0944968089,
            0.0952263549,
            0.0959559083,
            0.0966854542,
            0.0974150077,
            0.0981445536,
            0.098874107,
            0.099603653,
            0.100333206,
            0.101062752,
            0.101792306,
            0.102521852,
            0.103251405,
            0.103980951,
            0.104710504,
            0.10544005,
            0.106169604,
            0.10689915,
            0.107628703,
            0.108358249,
            0.109087795,
            0.109817348,
            0.110546902,
            0.111276448,
            0.112005994,
            0.112735547,
            0.113465093,
            0.114194646,
            0.114924192,
            0.115653746,
            0.116383292,
            0.117112845,
            0.117842391,
            0.118571945,
            0.11930149,
            0.120031044,
            0.12076059,
            0.121490143,
            0.122219689,
            0.122949243,
            0.123728573,
            0.124701306,
            0.125674039,
            0.126646772,
            0.127619505,
            0.128592238,
            0.129564971,
            0.130537704,
            0.131510437,
            0.132483169,
            0.133455902,
            0.134428635,
            0.135401368,
            0.136374101,
            0.137346834,
            0.138319567,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139910787,
            0.140640333,
            0.141369894,
            0.14209944,
            0.142828986,
            0.143558532,
            0.144288093,
            0.145017639,
            0.145747185,
            0.146476731,
            0.147206292,
            0.147935838,
            0.148665383,
            0.149394929,
            0.15012449,
            0.150854036,
            0.151583582,
            0.152313143,
            0.153042689,
            0.15377225,
            0.154501796,
            0.155231357,
            0.155960903,
            0.156690463,
            0.157420009,
            0.15814957,
            0.158879116,
            0.159608677,
            0.160338223,
            0.161067784,
            0.16179733,
            0.162526891,
            0.163767695,
            0.165226787,
            0.166685879,
            0.168144986,
            0.169604078,
            0.17106317,
            0.172522262,
            0.173981369,
            0.17544046,
            0.176899552,
            0.178358644,
            0.179817736,
            0.181276843,
            0.182735935,
            0.184195027,
            0.185654134,
            0.186833665,
            0.187806398,
            0.188779131,
            0.189751863,
            0.190724611,
            0.191697344,
            0.192670077,
            0.19364281,
            0.194615558,
            0.195588291,
            0.196561024,
            0.197533756,
            0.198506504,
            0.199479237,
            0.20045197,
            0.201424703,
            0.2022883,
            0.203017846,
            0.203747392,
            0.204476938,
            0.205206484,
            0.20593603,
            0.206665576,
            0.207395121,
            0.208124667,
            0.208854213,
            0.209583759,
            0.210313305,
            0.211042851,
            0.211772397,
            0.212501943,
            0.213231489,
            0.213961035,
            0.214690581,
            0.215420127,
            0.216149673,
            0.216879234,
            0.21760878,
            0.218338326,
            0.219067872,
            0.219797432,
            0.220526978,
            0.221256524,
            0.22198607,
            0.222715631,
            0.223445177,
            0.224174723,
            0.224904269,
            0.225777432,
            0.227236539,
            0.228695631,
            0.230154738,
            0.23161383,
            0.233072937,
            0.234532028,
            0.235991135,
            0.237450227,
            0.238909334,
            0.240368426,
            0.241827533,
            0.243286625,
            0.244745731,
            0.246204823,
            0.24766393,
            0.24907133,
            0.249800876,
            0.250530422,
            0.251259983,
            0.251989543,
            0.252719104,
            0.253448635,
            0.254178196,
            0.254907757,
            0.255637288,
            0.256366849,
            0.25709641,
            0.257825971,
            0.258555532,
            0.259285063,
            0.260014623,
            0.260744184,
            0.261703521,
            0.262676239,
            0.263648987,
            0.264621705,
            0.265594453,
            0.2665672,
            0.267539918,
            0.268512666,
            0.269485414,
            0.270458132,
            0.27143088,
            0.272403598,
            0.273376346,
            0.274349093,
            0.275321811,
            0.276294559,
            0.275674134,
            0.274701416,
            0.273728669,
            0.272755951,
            0.271783203,
            0.270810455,
            0.269837737,
            0.268864989,
            0.267892271,
            0.266919523,
            0.265946776,
            0.264974058,
            0.26400131,
            0.263028562,
            0.262055844,
            0.261083096,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.26133585,
            0.262308598,
            0.263281345,
            0.264254063,
            0.265226811,
            0.266199529,
            0.267172277,
            0.268145025,
            0.269117743,
            0.270090491,
            0.271063238,
            0.272035956,
            0.273008704,
            0.273981422,
            0.27495417,
            0.275926918,
            0.277114093,
            0.278573185,
            0.280032307,
            0.281491399,
            0.282950491,
            0.284409583,
            0.285868675,
            0.287327766,
            0.288786858,
            0.29024595,
            0.291705042,
            0.293164164,
            0.294623256,
            0.296082348,
            0.29754144,
            0.299000531,
            0.300229847,
            0.300959408,
            0.301688939,
            0.3024185,
            0.303148061,
            0.303877592,
            0.304607153,
            0.305336684,
            0.306066245,
            0.306795806,
            0.307525337,
            0.308254898,
            0.308984458,
            0.309713989,
            0.31044355,
            0.311173081,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311810732,
            0.312540293,
            0.313269824,
            0.313999385,
            0.314728945,
            0.315458477,
            0.316188037,
            0.316917568,
            0.317647129,
            0.31837669,
            0.319106221,
            0.319835782,
            0.320565343,
            0.321294874,
            0.322024435,
            0.322753966,
            0.323483527,
            0.324440926,
            0.325413674,
            0.326386392,
            0.32735914,
            0.328331858,
            0.329304606,
            0.330277324,
            0.331250072,
            0.33222279,
            0.333195537,
            0.334168255,
            0.335141003,
            0.336113721,
            0.337086469,
            0.338059187,
            0.339031935,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.338549405,
            0.337576658,
            0.33660394,
            0.335631192,
            0.334658474,
            0.333685726,
            0.332713008,
            0.33174026,
            0.330767542,
            0.329794794,
            0.328822076,
            0.327849329,
            0.326876611,
            0.325903863,
            0.324931145,
            0.323958397,
            0.323121637,
            0.322392076,
            0.321662515,
            0.320932984,
            0.320203424,
            0.319473863,
            0.318744332,
            0.318014771,
            0.31728524,
            0.316555679,
            0.315826118,
            0.315096587,
            0.314367026,
            0.313637465,
            0.312907934,
            0.312178373,
            0.311448842,
            0.310719281,
            0.309989721,
            0.30926019,
            0.308530629,
            0.307801068,
            0.307071537,
            0.306341976,
            0.305612445,
            0.304882884,
            0.304153323,
            0.303423792,
            0.302694231,
            0.3019647,
            0.301235139,
            0.300505579,
            0.299776047,
            0.299046487,
            0.298316926,
            0.297587395,
            0.296857834,
            0.296128303,
            0.295398742,
            0.294669181,
            0.29393965,
            0.293210089,
            0.292480528,
            0.291750997,
            0.291021436,
            0.290291905,
            0.289562345,
            0.288832784,
            0.288103253,
            0.287373692,
            0.286644161,
            0.2859146,
            0.285185069,
            0.284455508,
            0.283725977,
            0.282996416,
            0.282266885,
            0.281537324,
            0.280807793,
            0.280078232,
            0.279348701,
            0.27861914,
            0.277889609,
            0.277160048,
            0.276417106,
            0.275444359,
            0.274471641,
            0.273498893,
            0.272526145,
            0.271553427,
            0.270580679,
            0.269607961,
            0.268635213,
            0.267662466,
            0.266689748,
            0.265717,
            0.264744282,
            0.263771534,
            0.262798786,
            0.261826068,
            0.26085332,
            0.260106534,
            0.259376973,
            0.258647442,
            0.257917881,
            0.25718832,
            0.256458759,
            0.255729228,
            0.254999667,
            0.254270107,
            0.253540546,
            0.252811015,
            0.252081454,
            0.251351893,
            0.250622332,
            0.249892786,
            0.24916324,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249513656,
            0.250243217,
            0.250972748,
            0.251702309,
            0.25243187,
            0.25316143,
            0.253890961,
            0.254620522,
            0.255350083,
            0.256079644,
            0.256809175,
            0.257538736,
            0.258268297,
            0.258997858,
            0.259727389,
            0.260456949,
            0.260382265,
            0.259652704,
            0.258923173,
            0.258193612,
            0.257464051,
            0.25673449,
            0.256004959,
            0.255275398,
            0.254545838,
            0.253816307,
            0.253086746,
            0.252357185,
            0.251627624,
            0.250898093,
            0.250168532,
            0.249438971,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249146,
            0.24987556,
            0.250605106,
            0.251334667,
            0.252064228,
            0.252793759,
            0.25352332,
            0.254252881,
            0.254982442,
            0.255711973,
            0.256441534,
            0.257171094,
            0.257900655,
            0.258630186,
            0.259359747,
            0.260089308,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260112286,
            0.259382725,
            0.258653164,
            0.257923633,
            0.257194072,
            0.256464511,
            0.25573495,
            0.255005419,
            0.254275858,
            0.253546298,
            0.252816737,
            0.252087206,
            0.251357645,
            0.250628084,
            0.249898538,
            0.249168977,
            0.248439431,
            0.247709885,
            0.246980324,
            0.246250778,
            0.245521232,
            0.244791687,
            0.244062126,
            0.24333258,
            0.242603034,
            0.241873488,
            0.241143927,
            0.240414381,
            0.239684835,
            0.238955289,
            0.238225728,
            0.237496182,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237559378,
            0.238288924,
            0.23901847,
            0.239748031,
            0.240477577,
            0.241207123,
            0.241936669,
            0.24266623,
            0.243395776,
            0.244125322,
            0.244854867,
            0.245584428,
            0.246313974,
            0.24704352,
            0.247773066,
            0.248502612,
            0.249515563,
            0.251217842,
            0.252920151,
            0.25462243,
            0.256324738,
            0.258027017,
            0.259729296,
            0.261431605,
            0.263133883,
            0.264836162,
            0.266538471,
            0.26824075,
            0.269943058,
            0.271645337,
            0.273347616,
            0.275049925,
            0.276591361,
            0.277320892,
            0.278050452,
            0.278779984,
            0.279509544,
            0.280239075,
            0.280968636,
            0.281698167,
            0.282427728,
            0.283157259,
            0.28388682,
            0.284616351,
            0.285345912,
            0.286075443,
            0.286805004,
            0.287534535,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.287569016,
            0.286839455,
            0.286109924,
            0.285380363,
            0.284650832,
            0.283921272,
            0.283191741,
            0.28246218,
            0.281732649,
            0.281003088,
            0.280273557,
            0.279543996,
            0.278814465,
            0.278084904,
            0.277355373,
            0.276625812,
            0.275704801,
            0.274732053,
            0.273759305,
            0.272786587,
            0.27181384,
            0.270841092,
            0.269868374,
            0.268895626,
            0.267922908,
            0.26695016,
            0.265977412,
            0.265004694,
            0.264031947,
            0.263059199,
            0.262086481,
            0.261113733,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260577589,
            0.259848028,
            0.259118468,
            0.258388937,
            0.257659376,
            0.256929815,
            0.256200254,
            0.255470723,
            0.254741162,
            0.254011601,
            0.25328204,
            0.252552509,
            0.251822948,
            0.251093388,
            0.250363827,
            0.249634281,
            0.248904735,
            0.248175189,
            0.247445628,
            0.246716082,
            0.245986536,
            0.24525699,
            0.244527429,
            0.243797883,
            0.243068337,
            0.242338791,
            0.241609231,
            0.240879685,
            0.240150139,
            0.239420593,
            0.238691032,
            0.237961486,
            0.237208962,
            0.235749856,
            0.234290764,
            0.232831657,
            0.231372565,
            0.229913473,
            0.228454366,
            0.226995274,
            0.225536168,
            0.224077076,
            0.222617969,
            0.221158877,
            0.21969977,
            0.218240678,
            0.216781572,
            0.21532248,
            0.213863373,
            0.213064894,
            0.212335348,
            0.211605802,
            0.210876256,
            0.21014671,
            0.209417164,
            0.208687618,
            0.207958072,
            0.207228526,
            0.206498981,
            0.205769435,
            0.205039889,
            0.204310343,
            0.203580797,
            0.202851251,
            0.202121705,
            0.201202586,
            0.200229853,
            0.19925712,
            0.198284373,
            0.19731164,
            0.196338907,
            0.195366174,
            0.194393426,
            0.193420693,
            0.19244796,
            0.191475227,
            0.19050248,
            0.189529747,
            0.188557014,
            0.187584281,
            0.186611533,
            0.185797736,
            0.18506819,
            0.184338644,
            0.183609083,
            0.182879537,
            0.182149991,
            0.181420445,
            0.180690885,
            0.179961339,
            0.179231793,
            0.178502247,
            0.177772686,
            0.17704314,
            0.176313594,
            0.175584048,
            0.174854487,
            0.174124941,
            0.173395395,
            0.172665849,
            0.171936303,
            0.171206757,
            0.170477211,
            0.169747666,
            0.16901812,
            0.168288574,
            0.167559028,
            0.166829482,
            0.166099936,
            0.16537039,
            0.164640844,
            0.163911298,
            0.163181752,
            0.162159234,
            0.160700142,
            0.159241036,
            0.157781929,
            0.156322822,
            0.15486373,
            0.153404623,
            0.151945516,
            0.15048641,
            0.149027318,
            0.147568211,
            0.146109104,
            0.144650012,
            0.143190905,
            0.141731799,
            0.140272692,
            0.138746575,
            0.137044296,
            0.135342017,
            0.133639723,
            0.131937444,
            0.130235165,
            0.128532887,
            0.126830593,
            0.125128314,
            0.123426035,
            0.121723749,
            0.12002147,
            0.118319184,
            0.116616905,
            0.114914626,
            0.11321234,
            0.111655585,
            0.110926032,
            0.110196486,
            0.109466933,
            0.108737387,
            0.108007833,
            0.107278287,
            0.106548734,
            0.105819188,
            0.105089635,
            0.104360089,
            0.103630535,
            0.102900989,
            0.102171436,
            0.10144189,
            0.100712344,
            0.0999827906,
            0.0992532372,
            0.0985236913,
            0.0977941453,
            0.0970645919,
            0.096335046,
            0.0956054926,
            0.0948759466,
            0.0941463932,
            0.0934168473,
            0.0926872939,
            0.0919577479,
            0.0912281945,
            0.0904986486,
            0.0897690952,
            0.0890395492,
            0.0883099958,
            0.0875804499,
            0.0868508965,
            0.0861213505,
            0.0853917971,
            0.0846622512,
            0.0839326978,
            0.0832031518,
            0.0824735984,
            0.0817440525,
            0.0810144991,
            0.0802849531,
            0.0795553997,
            0.0788258538,
            0.0780963004,
            0.0773667544,
            0.076637201,
            0.0751570389,
            0.07345476,
            0.0717524737,
            0.0700501949,
            0.0683479086,
            0.0666456297,
            0.0649433434,
            0.0632410645,
            0.061538782,
            0.0598364994,
            0.0581342168,
            0.0564319342,
            0.0547296554,
            0.0530273691,
            0.0513250902,
            0.0496228039,
            0.0485485867,
            0.047819037,
            0.0470894873,
            0.0463599376,
            0.045630388,
            0.0449008383,
            0.0441712886,
            0.0434417389,
            0.0427121893,
            0.0419826396,
            0.0412530899,
            0.0405235402,
            0.0397939906,
            0.0390644446,
            0.0383348912,
            0.0376053452,
            0.0368757918,
            0.0361462422,
            0.0354166925,
            0.0346871465,
            0.0339575969,
            0.0332280472,
            0.0324984975,
            0.0317689478,
            0.0310393963,
            0.0303098466,
            0.0295802988,
            0.0288507491,
            0.0281211995,
            0.0273916498,
            0.0266621001,
            0.0259325504,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0253868233,
            0.0246572737,
            0.023927724,
            0.0231981743,
            0.0224686246,
            0.021739075,
            0.0210095271,
            0.0202799775,
            0.0195504278,
            0.0188208781,
            0.0180913284,
            0.0173617788,
            0.0166322291,
            0.0159026794,
            0.0151731297,
            0.0144435801,
            0.0137140304,
            0.0129844807,
            0.012254931,
            0.0115253814,
            0.0107958317,
            0.010066282,
            0.00933673233,
            0.00860718265,
            0.00787763298,
            0.00714808377,
            0.00641853455,
            0.00568898488,
            0.0049594352,
            0.00422988553,
            0.00350033585,
            0.00277078617,
            0.0020412365,
            0.0010953116,
            0.000122578815,
            -0.000850154087,
            -0.00182288676,
            -0.00279561942,
            -0.00376835233,
            -0.00474108523,
            -0.00571381766,
            -0.00668655057,
            -0.00765928347,
            -0.00863201637,
            -0.00960474927,
            -0.0105774822,
            -0.0115502141,
            -0.012522947,
            -0.0134956799,
            -0.0142826745,
            -0.0150122242,
            -0.0157417729,
            -0.0164713226,
            -0.0172008723,
            -0.017930422,
            -0.0186599717,
            -0.0193895213,
            -0.020119071,
            -0.0208486207,
            -0.0215781704,
            -0.02230772,
            -0.0230372697,
            -0.0237668194,
            -0.0244963691,
            -0.0252259187,
            -0.0264207721,
            -0.0278798714,
            -0.0293389689,
            -0.0307980683,
            -0.0322571695,
            -0.0337162688,
            -0.0351753682,
            -0.0366344675,
            -0.0380935669,
            -0.0395526662,
            -0.0410117619,
            -0.042470865,
            -0.0439299606,
            -0.0453890599,
            -0.0468481593,
            -0.0483072586,
            -0.0498908237,
            -0.0515931025,
            -0.0532953888,
            -0.0549976677,
            -0.0566999502,
            -0.0584022328,
            -0.0601045154,
            -0.061806798,
            -0.0635090768,
            -0.0652113631,
            -0.0669136494,
            -0.0686159283,
            -0.0703182071,
            -0.0720204934,
            -0.0737227798,
            -0.0754250586,
            -0.0770335123,
            -0.0784926116,
            -0.079951711,
            -0.0814108104,
            -0.0828699097,
            -0.0843290091,
            -0.0857881084,
            -0.0872472078,
            -0.0887063071,
            -0.0901654065,
            -0.0916245058,
            -0.0930836052,
            -0.0945427045,
            -0.0960018039,
            -0.0974609032,
            -0.0989200026,
            -0.100631855,
            -0.103063695,
            -0.105495527,
            -0.10792736,
            -0.110359192,
            -0.112791024,
            -0.115222864,
            -0.117654696,
            -0.120086528,
            -0.122518361,
            -0.1249502,
            -0.127382025,
            -0.129813865,
            -0.13224569,
            -0.134677529,
            -0.137109369,
            -0.139410987,
            -0.140870094,
            -0.142329186,
            -0.143788293,
            -0.145247385,
            -0.146706492,
            -0.148165584,
            -0.14962469,
            -0.151083782,
            -0.152542889,
            -0.154001981,
            -0.155461088,
            -0.15692018,
            -0.158379287,
            -0.159838378,
            -0.16129747,
            -0.162756577,
            -0.164215684,
            -0.165674776,
            -0.167133868,
            -0.168592975,
            -0.170052066,
            -0.171511173,
            -0.172970265,
            -0.174429372,
            -0.175888464,
            -0.177347571,
            -0.178806663,
            -0.180265769,
            -0.181724861,
            -0.183183968,
            -0.18464306,
            -0.186102167,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.185814947,
            -0.185085386,
            -0.18435584,
            -0.183626294,
            -0.182896748,
            -0.182167187,
            -0.181437641,
            -0.180708095,
            -0.179978549,
            -0.179248989,
            -0.178519443,
            -0.177789897,
            -0.177060351,
            -0.17633079,
            -0.175601244,
            -0.174871698,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174601704,
            -0.17533125,
            -0.176060811,
            -0.176790357,
            -0.177519903,
            -0.178249449,
            -0.178979009,
            -0.179708555,
            -0.180438101,
            -0.181167647,
            -0.181897208,
            -0.182626754,
            -0.1833563,
            -0.184085846,
            -0.184815407,
            -0.185544953
          ],
          [
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186912134,
            -0.18764168,
            -0.188371241,
            -0.189100787,
            -0.189830333,
            -0.190559879,
            -0.19128944,
            -0.192018986,
            -0.192748532,
            -0.193478078,
            -0.194207639,
            -0.194937184,
            -0.19566673,
            -0.196396276,
            -0.197125837,
            -0.197855383,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197677299,
            -0.196947753,
            -0.196218207,
            -0.195488647,
            -0.194759101,
            -0.194029555,
            -0.193300009,
            -0.192570448,
            -0.191840902,
            -0.191111356,
            -0.19038181,
            -0.189652249,
            -0.188922703,
            -0.188193157,
            -0.187463611,
            -0.186734051,
            -0.186544493,
            -0.187274039,
            -0.188003585,
            -0.188733131,
            -0.189462692,
            -0.190192237,
            -0.190921783,
            -0.191651344,
            -0.19238089,
            -0.193110436,
            -0.193839982,
            -0.194569528,
            -0.195299089,
            -0.196028635,
            -0.196758181,
            -0.197487727,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.19888173,
            -0.199854463,
            -0.200827196,
            -0.201799929,
            -0.202772662,
            -0.203745395,
            -0.204718128,
            -0.205690861,
            -0.206663594,
            -0.207636327,
            -0.208609059,
            -0.209581792,
            -0.210554525,
            -0.211527258,
            -0.212499991,
            -0.213472724,
            -0.214265466,
            -0.214995012,
            -0.215724558,
            -0.216454104,
            -0.217183664,
            -0.21791321,
            -0.218642756,
            -0.219372302,
            -0.220101863,
            -0.220831409,
            -0.221560955,
            -0.222290501,
            -0.223020047,
            -0.223749608,
            -0.224479154,
            -0.2252087,
            -0.226386324,
            -0.227845415,
            -0.229304522,
            -0.230763614,
            -0.232222721,
            -0.233681813,
            -0.23514092,
            -0.236600012,
            -0.238059118,
            -0.23951821,
            -0.240977317,
            -0.242436409,
            -0.243895516,
            -0.245354608,
            -0.246813715,
            -0.248272806,
            -0.249375746,
            -0.250105292,
            -0.250834852,
            -0.251564413,
            -0.252293944,
            -0.253023505,
            -0.253753066,
            -0.254482627,
            -0.255212158,
            -0.255941719,
            -0.25667128,
            -0.257400811,
            -0.258130372,
            -0.258859932,
            -0.259589463,
            -0.260319024,
            -0.261136651,
            -0.262109399,
            -0.263082117,
            -0.264054835,
            -0.265027583,
            -0.266000301,
            -0.266973048,
            -0.267945766,
            -0.268918514,
            -0.269891232,
            -0.27086395,
            -0.271836698,
            -0.272809416,
            -0.273782164,
            -0.274754882,
            -0.27572763,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276363343,
            -0.275390625,
            -0.274417877,
            -0.273445159,
            -0.272472411,
            -0.271499693,
            -0.270526946,
            -0.269554228,
            -0.26858148,
            -0.267608762,
            -0.266636044,
            -0.265663296,
            -0.264690578,
            -0.26371783,
            -0.262745112,
            -0.261772364,
            -0.260799646,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260158181,
            -0.25942862,
            -0.258699089,
            -0.257969528,
            -0.257239968,
            -0.256510407,
            -0.255780876,
            -0.255051315,
            -0.254321754,
            -0.253592223,
            -0.252862662,
            -0.252133101,
            -0.25140357,
            -0.250674009,
            -0.249944463,
            -0.249214903,
            -0.24795112,
            -0.246492013,
            -0.245032921,
            -0.243573815,
            -0.242114723,
            -0.240655631,
            -0.239196524,
            -0.237737417,
            -0.236278325,
            -0.234819233,
            -0.233360127,
            -0.23190102,
            -0.230441928,
            -0.228982836,
            -0.227523729,
            -0.226064637,
            -0.225047857,
            -0.224318311,
            -0.223588765,
            -0.222859204,
            -0.222129658,
            -0.221400112,
            -0.220670566,
            -0.219941005,
            -0.219211459,
            -0.218481913,
            -0.217752367,
            -0.217022806,
            -0.21629326,
            -0.215563715,
            -0.214834169,
            -0.214104608,
            -0.213258266,
            -0.212285534,
            -0.211312801,
            -0.210340068,
            -0.209367335,
            -0.208394602,
            -0.207421869,
            -0.206449136,
            -0.205476403,
            -0.20450367,
            -0.203530937,
            -0.202558205,
            -0.201585472,
            -0.200612739,
            -0.199640006,
            -0.198667273,
            -0.198383868,
            -0.199356601,
            -0.200329334,
            -0.201302066,
            -0.202274799,
            -0.203247532,
            -0.204220265,
            -0.205192998,
            -0.206165731,
            -0.207138464,
            -0.208111197,
            -0.20908393,
            -0.210056663,
            -0.211029395,
            -0.212002128,
            -0.212974861,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213551223,
            -0.211848944,
            -0.210146666,
            -0.208444387,
            -0.206742093,
            -0.205039814,
            -0.203337535,
            -0.201635256,
            -0.199932963,
            -0.198230684,
            -0.196528405,
            -0.194826126,
            -0.193123847,
            -0.191421553,
            -0.189719275,
            -0.188016996,
            -0.186314702,
            -0.184849873,
            -0.183390766,
            -0.181931674,
            -0.180472568,
            -0.179013476,
            -0.177554369,
            -0.176095277,
            -0.17463617,
            -0.173177078,
            -0.171717972,
            -0.17025888,
            -0.168799773,
            -0.167340681,
            -0.165881574,
            -0.164422482,
            -0.162963375,
            -0.161504284,
            -0.160045177,
            -0.158586085,
            -0.157126978,
            -0.155667886,
            -0.154208779,
            -0.152749687,
            -0.151290581,
            -0.149831489,
            -0.148372382,
            -0.14691329,
            -0.145454183,
            -0.143995091,
            -0.142535985,
            -0.141076893,
            -0.139617786,
            -0.138511017,
            -0.137538284,
            -0.136565551,
            -0.135592818,
            -0.134620085,
            -0.133647352,
            -0.132674605,
            -0.131701872,
            -0.130729139,
            -0.129756406,
            -0.128783673,
            -0.12781094,
            -0.126838207,
            -0.125865474,
            -0.124892734,
            -0.123920001,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123184703,
            -0.12245515,
            -0.121725604,
            -0.120996051,
            -0.120266497,
            -0.119536951,
            -0.118807398,
            -0.118077844,
            -0.117348291,
            -0.116618745,
            -0.115889192,
            -0.115159638,
            -0.114430085,
            -0.113700539,
            -0.112970985,
            -0.112241432,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111603796,
            -0.110874243,
            -0.110144697,
            -0.109415151,
            -0.108685605,
            -0.107956059,
            -0.107226506,
            -0.10649696,
            -0.105767414,
            -0.105037868,
            -0.104308315,
            -0.103578769,
            -0.102849223,
            -0.102119677,
            -0.101390123,
            -0.100660577,
            -0.0999310315,
            -0.0992014781,
            -0.0984719321,
            -0.0977423787,
            -0.0970128328,
            -0.0962832794,
            -0.0955537334,
            -0.09482418,
            -0.0940946341,
            -0.0933650807,
            -0.0926355347,
            -0.0919059813,
            -0.0911764354,
            -0.0904468894,
            -0.089717336,
            -0.0889877826,
            -0.0882582366,
            -0.0875286907,
            -0.0867991373,
            -0.0860695913,
            -0.0853400379,
            -0.084610492,
            -0.0838809386,
            -0.0831513926,
            -0.0824218392,
            -0.0816922933,
            -0.0809627399,
            -0.0802331939,
            -0.0795036405,
            -0.0787740946,
            -0.0780445412,
            -0.0773149952,
            -0.0765854418,
            -0.0750363469,
            -0.0733340681,
            -0.0716317818,
            -0.0699295029,
            -0.0682272166,
            -0.0665249377,
            -0.0648226514,
            -0.0631203726,
            -0.0614180863,
            -0.0597158074,
            -0.0580135211,
            -0.0563112423,
            -0.0546089597,
            -0.0529066771,
            -0.0512043945,
            -0.049502112,
            -0.0484968275,
            -0.0477672778,
            -0.0470377281,
            -0.0463081785,
            -0.0455786288,
            -0.0448490791,
            -0.0441195294,
            -0.0433899797,
            -0.0426604301,
            -0.0419308804,
            -0.0412013307,
            -0.040471781,
            -0.0397422314,
            -0.0390126817,
            -0.038283132,
            -0.0375535823,
            -0.0368240327,
            -0.036094483,
            -0.0353649333,
            -0.0346353836,
            -0.033905834,
            -0.0331762843,
            -0.0324467346,
            -0.0317171849,
            -0.0309876371,
            -0.0302580874,
            -0.0295285378,
            -0.0287989881,
            -0.0280694384,
            -0.0273398887,
            -0.0266103391,
            -0.0258807894,
            -0.0251512397,
            -0.02442169,
            -0.0236921404,
            -0.0229625907,
            -0.022233041,
            -0.0215034932,
            -0.0207739435,
            -0.0200443938,
            -0.0193148442,
            -0.0185852945,
            -0.0178557448,
            -0.0171261951,
            -0.0163966455,
            -0.0156670958,
            -0.0149375461,
            -0.0142079964,
            -0.0133961095,
            -0.0124233766,
            -0.0114506437,
            -0.0104779107,
            -0.00950517785,
            -0.00853244495,
            -0.00755971251,
            -0.00658697961,
            -0.00561424717,
            -0.00464151427,
            -0.00366878137,
            -0.00269604847,
            -0.00172331557,
            -0.000750582665,
            0.000222150236,
            0.00119488314,
            0.00227101613,
            0.00373011548,
            0.00518921483,
            0.00664831372,
            0.00810741261,
            0.00956651196,
            0.0110256113,
            0.0124847107,
            0.01394381,
            0.0154029084,
            0.0168620087,
            0.0183211081,
            0.0197802056,
            0.0212393049,
            0.0226984043,
            0.0241575036,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0268918779,
            0.0283509772,
            0.0298100766,
            0.0312691778,
            0.0327282771,
            0.0341873765,
            0.0356464759,
            0.0371055752,
            0.0385646708,
            0.0400237702,
            0.0414828695,
            0.0429419689,
            0.0444010682,
            0.0458601676,
            0.0473192669,
            0.0487783663,
            0.0504404381,
            0.0521427207,
            0.0538450032,
            0.0555472858,
            0.0572495684,
            0.0589518473,
            0.0606541336,
            0.0623564124,
            0.0640586987,
            0.0657609776,
            0.0674632639,
            0.0691655427,
            0.0708678216,
            0.0725701079,
            0.0742723942,
            0.075974673,
            0.07750462,
            0.0789637193,
            0.0804228187,
            0.081881918,
            0.0833410174,
            0.0848001167,
            0.0862592161,
            0.0877183154,
            0.0891774148,
            0.0906365141,
            0.0920956135,
            0.0935547128,
            0.0950138122,
            0.0964729115,
            0.0979320109,
            0.0993911102,
            0.100425117,
            0.101154663,
            0.101884216,
            0.102613762,
            0.103343315,
            0.104072861,
            0.104802415,
            0.105531961,
            0.106261514,
            0.10699106,
            0.107720613,
            0.108450159,
            0.109179713,
            0.109909259,
            0.110638812,
            0.111368358,
            0.112097912,
            0.112827457,
            0.113557011,
            0.114286557,
            0.11501611,
            0.115745656,
            0.11647521,
            0.117204756,
            0.117934309,
            0.118663855,
            0.119393408,
            0.120122954,
            0.1208525,
            0.121582054,
            0.122311607,
            0.123041153,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123728573,
            0.124701306,
            0.125674039,
            0.126646772,
            0.127619505,
            0.128592238,
            0.129564971,
            0.130537704,
            0.131510437,
            0.132483169,
            0.133455902,
            0.134428635,
            0.135401368,
            0.136374101,
            0.137346834,
            0.138319567,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.140605882,
            0.142064974,
            0.143524081,
            0.144983187,
            0.146442294,
            0.147901386,
            0.149360493,
            0.1508196,
            0.152278706,
            0.153737798,
            0.155196905,
            0.156656012,
            0.158115119,
            0.159574211,
            0.161033317,
            0.162492424,
            0.163348347,
            0.164077893,
            0.164807439,
            0.165536985,
            0.166266531,
            0.166996077,
            0.167725623,
            0.168455169,
            0.169184715,
            0.169914261,
            0.170643806,
            0.171373352,
            0.172102898,
            0.172832444,
            0.17356199,
            0.174291536,
            0.175702766,
            0.177405044,
            0.179107338,
            0.180809617,
            0.182511911,
            0.18421419,
            0.185916483,
            0.187618762,
            0.189321056,
            0.191023335,
            0.192725629,
            0.194427907,
            0.196130201,
            0.19783248,
            0.199534774,
            0.201237053,
            0.20238021,
            0.203109756,
            0.203839302,
            0.204568848,
            0.205298394,
            0.20602794,
            0.206757486,
            0.207487032,
            0.208216578,
            0.208946124,
            0.20967567,
            0.210405216,
            0.211134762,
            0.211864308,
            0.212593853,
            0.213323399,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213961035,
            0.214690581,
            0.215420127,
            0.216149673,
            0.216879234,
            0.21760878,
            0.218338326,
            0.219067872,
            0.219797432,
            0.220526978,
            0.221256524,
            0.22198607,
            0.222715631,
            0.223445177,
            0.224174723,
            0.224904269,
            0.225777432,
            0.227236539,
            0.228695631,
            0.230154738,
            0.23161383,
            0.233072937,
            0.234532028,
            0.235991135,
            0.237450227,
            0.238909334,
            0.240368426,
            0.241827533,
            0.243286625,
            0.244745731,
            0.246204823,
            0.24766393,
            0.24907133,
            0.249800876,
            0.250530422,
            0.251259983,
            0.251989543,
            0.252719104,
            0.253448635,
            0.254178196,
            0.254907757,
            0.255637288,
            0.256366849,
            0.25709641,
            0.257825971,
            0.258555532,
            0.259285063,
            0.260014623,
            0.260744184,
            0.261703521,
            0.262676239,
            0.263648987,
            0.264621705,
            0.265594453,
            0.2665672,
            0.267539918,
            0.268512666,
            0.269485414,
            0.270458132,
            0.27143088,
            0.272403598,
            0.273376346,
            0.274349093,
            0.275321811,
            0.276294559,
            0.275674134,
            0.274701416,
            0.273728669,
            0.272755951,
            0.271783203,
            0.270810455,
            0.269837737,
            0.268864989,
            0.267892271,
            0.266919523,
            0.265946776,
            0.264974058,
            0.26400131,
            0.263028562,
            0.262055844,
            0.261083096,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.26133585,
            0.262308598,
            0.263281345,
            0.264254063,
            0.265226811,
            0.266199529,
            0.267172277,
            0.268145025,
            0.269117743,
            0.270090491,
            0.271063238,
            0.272035956,
            0.273008704,
            0.273981422,
            0.27495417,
            0.275926918,
            0.277114093,
            0.278573185,
            0.280032307,
            0.281491399,
            0.282950491,
            0.284409583,
            0.285868675,
            0.287327766,
            0.288786858,
            0.29024595,
            0.291705042,
            0.293164164,
            0.294623256,
            0.296082348,
            0.29754144,
            0.299000531,
            0.300459623,
            0.301918715,
            0.303377837,
            0.304836929,
            0.306296021,
            0.307755113,
            0.309214234,
            0.310673326,
            0.312132418,
            0.31359151,
            0.315050632,
            0.316509724,
            0.317968816,
            0.319427907,
            0.320887029,
            0.322346121,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323029697,
            0.322300166,
            0.321570605,
            0.320841074,
            0.320111513,
            0.319381952,
            0.318652421,
            0.31792286,
            0.317193329,
            0.316463768,
            0.315734208,
            0.315004677,
            0.314275116,
            0.313545555,
            0.312816024,
            0.312086463,
            0.311356932,
            0.310627371,
            0.30989781,
            0.309168279,
            0.308438718,
            0.307709157,
            0.306979626,
            0.306250066,
            0.305520535,
            0.304790974,
            0.304061413,
            0.303331882,
            0.302602321,
            0.30187276,
            0.301143229,
            0.300413668,
            0.299684137,
            0.298954576,
            0.298225015,
            0.297495484,
            0.296765924,
            0.296036363,
            0.295306832,
            0.294577271,
            0.29384774,
            0.293118179,
            0.292388618,
            0.291659087,
            0.290929526,
            0.290199995,
            0.289470434,
            0.288740873,
            0.288011342,
            0.287281781,
            0.28655225,
            0.28582269,
            0.285093158,
            0.284363598,
            0.283634067,
            0.282904506,
            0.282174975,
            0.281445414,
            0.280715883,
            0.279986322,
            0.279256791,
            0.27852723,
            0.277797699,
            0.277068138,
            0.276294559,
            0.275321811,
            0.274349093,
            0.273376346,
            0.272403598,
            0.27143088,
            0.270458132,
            0.269485414,
            0.268512666,
            0.267539918,
            0.2665672,
            0.265594453,
            0.264621705,
            0.263648987,
            0.262676239,
            0.261703521,
            0.260744184,
            0.260014623,
            0.259285063,
            0.258555502,
            0.257825971,
            0.25709641,
            0.256366849,
            0.255637288,
            0.254907757,
            0.254178196,
            0.253448635,
            0.252719104,
            0.251989543,
            0.251259983,
            0.250530422,
            0.249800876,
            0.24907133,
            0.248341769,
            0.247612223,
            0.246882677,
            0.246153131,
            0.24542357,
            0.244694024,
            0.243964478,
            0.243234932,
            0.242505372,
            0.241775826,
            0.24104628,
            0.240316734,
            0.239587173,
            0.238857627,
            0.238128081,
            0.237398535,
            0.237840861,
            0.238570407,
            0.239299953,
            0.240029499,
            0.24075906,
            0.241488606,
            0.242218152,
            0.242947698,
            0.243677258,
            0.244406804,
            0.24513635,
            0.245865896,
            0.246595442,
            0.247325003,
            0.248054549,
            0.248784095,
            0.249513656,
            0.250243217,
            0.250972748,
            0.251702309,
            0.25243187,
            0.25316143,
            0.253890961,
            0.254620522,
            0.255350083,
            0.256079644,
            0.256809175,
            0.257538736,
            0.258268297,
            0.258997858,
            0.259727389,
            0.260456949,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.26095289,
            0.261925638,
            0.262898356,
            0.263871104,
            0.264843851,
            0.265816569,
            0.266789317,
            0.267762035,
            0.268734783,
            0.269707531,
            0.270680249,
            0.271652997,
            0.272625744,
            0.273598462,
            0.27457121,
            0.275543928,
            0.276424766,
            0.275452018,
            0.2744793,
            0.273506552,
            0.272533804,
            0.271561086,
            0.270588338,
            0.26961562,
            0.268642873,
            0.267670125,
            0.266697407,
            0.265724659,
            0.264751941,
            0.263779193,
            0.262806445,
            0.261833727,
            0.26086098,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260204196,
            0.259474635,
            0.258745074,
            0.258015543,
            0.257285982,
            0.256556422,
            0.255826861,
            0.25509733,
            0.254367769,
            0.253638208,
            0.252908647,
            0.252179116,
            0.251449555,
            0.250719994,
            0.249990448,
            0.249260888,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.248623252,
            0.247893706,
            0.24716416,
            0.246434599,
            0.245705053,
            0.244975507,
            0.244245961,
            0.2435164,
            0.242786855,
            0.242057309,
            0.241327763,
            0.240598202,
            0.239868656,
            0.23913911,
            0.238409564,
            0.237680003,
            0.237559378,
            0.238288924,
            0.23901847,
            0.239748031,
            0.240477577,
            0.241207123,
            0.241936669,
            0.24266623,
            0.243395776,
            0.244125322,
            0.244854867,
            0.245584428,
            0.246313974,
            0.24704352,
            0.247773066,
            0.248502612,
            0.249232173,
            0.249961719,
            0.250691265,
            0.251420826,
            0.252150387,
            0.252879947,
            0.253609478,
            0.254339039,
            0.2550686,
            0.255798161,
            0.256527692,
            0.257257253,
            0.257986814,
            0.258716375,
            0.259445906,
            0.260175467,
            0.260945231,
            0.261917979,
            0.262890697,
            0.263863444,
            0.264836192,
            0.26580891,
            0.266781658,
            0.267754376,
            0.268727124,
            0.269699872,
            0.27067259,
            0.271645337,
            0.272618085,
            0.273590803,
            0.274563551,
            0.275536269,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.27619499,
            0.275222242,
            0.274249524,
            0.273276776,
            0.272304028,
            0.27133131,
            0.270358562,
            0.269385815,
            0.268413097,
            0.267440349,
            0.266467631,
            0.265494883,
            0.264522135,
            0.263549417,
            0.262576669,
            0.261603951,
            0.2606695,
            0.259939939,
            0.259210378,
            0.258480847,
            0.257751286,
            0.257021725,
            0.256292164,
            0.255562633,
            0.254833072,
            0.254103512,
            0.253373951,
            0.25264442,
            0.251914859,
            0.251185298,
            0.250455737,
            0.249726191,
            0.248996645,
            0.248267099,
            0.247537538,
            0.246807992,
            0.246078447,
            0.245348901,
            0.24461934,
            0.243889794,
            0.243160248,
            0.242430702,
            0.241701156,
            0.240971595,
            0.240242049,
            0.239512503,
            0.238782957,
            0.238053396,
            0.23732385,
            0.236594304,
            0.235864758,
            0.235135198,
            0.234405652,
            0.233676106,
            0.23294656,
            0.232216999,
            0.231487453,
            0.230757907,
            0.230028361,
            0.2292988,
            0.228569254,
            0.227839708,
            0.227110162,
            0.226380602,
            0.225651056,
            0.22492151,
            0.224191964,
            0.223462403,
            0.222732857,
            0.222003311,
            0.221273765,
            0.220544204,
            0.219814658,
            0.219085112,
            0.218355566,
            0.217626005,
            0.216896459,
            0.216166914,
            0.215437368,
            0.214707822,
            0.213978261,
            0.212612987,
            0.210910708,
            0.209208429,
            0.20750615,
            0.205803856,
            0.204101577,
            0.202399299,
            0.20069702,
            0.198994726,
            0.197292447,
            0.195590168,
            0.193887889,
            0.192185611,
            0.190483317,
            0.188781038,
            0.187078759,
            0.185889646,
            0.1851601,
            0.184430555,
            0.183700994,
            0.182971448,
            0.182241902,
            0.181512356,
            0.180782795,
            0.180053249,
            0.179323703,
            0.178594157,
            0.177864596,
            0.17713505,
            0.176405504,
            0.175675958,
            0.174946398,
            0.17392388,
            0.172464788,
            0.171005681,
            0.169546589,
            0.168087482,
            0.166628391,
            0.165169299,
            0.163710192,
            0.162251085,
            0.160791993,
            0.159332901,
            0.157873794,
            0.156414688,
            0.154955596,
            0.153496504,
            0.152037397,
            0.15051128,
            0.148809001,
            0.147106722,
            0.145404428,
            0.143702149,
            0.141999871,
            0.140297592,
            0.138595298,
            0.136893019,
            0.13519074,
            0.133488461,
            0.131786168,
            0.130083889,
            0.12838161,
            0.126679331,
            0.124977045,
            0.123311147,
            0.121852048,
            0.120392948,
            0.118933849,
            0.11747475,
            0.11601565,
            0.114556551,
            0.113097452,
            0.111638352,
            0.110179253,
            0.108720154,
            0.107261054,
            0.105801955,
            0.104342856,
            0.102883756,
            0.101424657,
            0.0999827906,
            0.0992532372,
            0.0985236913,
            0.0977941453,
            0.0970645919,
            0.096335046,
            0.0956054926,
            0.0948759466,
            0.0941463932,
            0.0934168473,
            0.0926872939,
            0.0919577479,
            0.0912281945,
            0.0904986486,
            0.0897690952,
            0.0890395492,
            0.0883099958,
            0.0875804499,
            0.0868508965,
            0.0861213505,
            0.0853917971,
            0.0846622512,
            0.0839326978,
            0.0832031518,
            0.0824735984,
            0.0817440525,
            0.0810144991,
            0.0802849531,
            0.0795553997,
            0.0788258538,
            0.0780963004,
            0.0773667544,
            0.076637201,
            0.0751570389,
            0.07345476,
            0.0717524737,
            0.0700501949,
            0.0683479086,
            0.0666456297,
            0.0649433434,
            0.0632410645,
            0.061538782,
            0.0598364994,
            0.0581342168,
            0.0564319342,
            0.0547296554,
            0.0530273691,
            0.0513250902,
            0.0496228039,
            0.0485485867,
            0.047819037,
            0.0470894873,
            0.0463599376,
            0.045630388,
            0.0449008383,
            0.0441712886,
            0.0434417389,
            0.0427121893,
            0.0419826396,
            0.0412530899,
            0.0405235402,
            0.0397939906,
            0.0390644446,
            0.0383348912,
            0.0376053452,
            0.0368757918,
            0.0361462422,
            0.0354166925,
            0.0346871465,
            0.0339575969,
            0.0332280472,
            0.0324984975,
            0.0317689478,
            0.0310393963,
            0.0303098466,
            0.0295802988,
            0.0288507491,
            0.0281211995,
            0.0273916498,
            0.0266621001,
            0.0259325504,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0252949111,
            0.0245653614,
            0.0238358118,
            0.0231062621,
            0.0223767143,
            0.0216471646,
            0.0209176149,
            0.0201880652,
            0.0194585156,
            0.0187289659,
            0.0179994162,
            0.0172698665,
            0.0165403169,
            0.0158107672,
            0.0150812175,
            0.0143516678,
            0.0136221182,
            0.0128925685,
            0.0121630188,
            0.0114334691,
            0.0107039204,
            0.00997437071,
            0.00924482103,
            0.00851527136,
            0.00778572168,
            0.00705617201,
            0.00632662233,
            0.00559707265,
            0.00486752298,
            0.00413797423,
            0.00340842456,
            0.00267887488,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.000446184771,
            -0.00125609757,
            -0.00295838015,
            -0.00466066226,
            -0.00636294484,
            -0.00806522742,
            -0.00976750907,
            -0.0114697916,
            -0.0131720742,
            -0.0148743559,
            -0.0165766384,
            -0.018278921,
            -0.0199812036,
            -0.0216834862,
            -0.0233857688,
            -0.0250880513,
            -0.0260473806,
            -0.0267769285,
            -0.0275064781,
            -0.0282360278,
            -0.0289655775,
            -0.0296951272,
            -0.0304246768,
            -0.0311542265,
            -0.0318837762,
            -0.0326133259,
            -0.0333428755,
            -0.0340724252,
            -0.0348019749,
            -0.0355315246,
            -0.0362610742,
            -0.0369906239,
            -0.0381854773,
            -0.0396445766,
            -0.041103676,
            -0.0425627753,
            -0.0440218747,
            -0.045480974,
            -0.0469400734,
            -0.0483991727,
            -0.0498582721,
            -0.0513173714,
            -0.0527764671,
            -0.0542355701,
            -0.0556946658,
            -0.0571537651,
            -0.0586128645,
            -0.0600719638,
            -0.0616555288,
            -0.0633578077,
            -0.065060094,
            -0.0667623729,
            -0.0684646592,
            -0.070166938,
            -0.0718692243,
            -0.0735715032,
            -0.075273782,
            -0.0769760683,
            -0.0786783546,
            -0.0803806335,
            -0.0820829123,
            -0.0837851986,
            -0.0854874849,
            -0.0871897638,
            -0.0887982175,
            -0.0902573168,
            -0.0917164087,
            -0.0931755081,
            -0.0946346074,
            -0.0960937068,
            -0.0975527987,
            -0.099011898,
            -0.100470997,
            -0.101930097,
            -0.103389189,
            -0.104848288,
            -0.106307387,
            -0.107766479,
            -0.109225579,
            -0.110684678,
            -0.112206966,
            -0.113909252,
            -0.115611538,
            -0.117313825,
            -0.119016111,
            -0.120718397,
            -0.122420684,
            -0.12412297,
            -0.125825256,
            -0.127527535,
            -0.129229829,
            -0.130932108,
            -0.132634401,
            -0.13433668,
            -0.136038974,
            -0.137741253,
            -0.139410987,
            -0.140870094,
            -0.142329186,
            -0.143788293,
            -0.145247385,
            -0.146706492,
            -0.148165584,
            -0.14962469,
            -0.151083782,
            -0.152542889,
            -0.154001981,
            -0.155461088,
            -0.15692018,
            -0.158379287,
            -0.159838378,
            -0.16129747,
            -0.162756577,
            -0.164215684,
            -0.165674776,
            -0.167133868,
            -0.168592975,
            -0.170052066,
            -0.171511173,
            -0.172970265,
            -0.174429372,
            -0.175888464,
            -0.177347571,
            -0.178806663,
            -0.180265769,
            -0.181724861,
            -0.183183968,
            -0.18464306,
            -0.186102167,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.185814947,
            -0.185085386,
            -0.18435584,
            -0.183626294,
            -0.182896748,
            -0.182167187,
            -0.181437641,
            -0.180708095,
            -0.179978549,
            -0.179248989,
            -0.178519443,
            -0.177789897,
            -0.177060351,
            -0.17633079,
            -0.175601244,
            -0.174871698,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174325973,
            -0.173596427,
            -0.172866866,
            -0.17213732,
            -0.171407774,
            -0.170678228,
            -0.169948667,
            -0.169219121,
            -0.168489575,
            -0.167760029,
            -0.167030469,
            -0.166300923,
            -0.165571377,
            -0.164841831,
            -0.16411227,
            -0.163382724,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088
          ],
          [
            -0.162745088,
            -0.163474634,
            -0.16420418,
            -0.164933741,
            -0.165663287,
            -0.166392833,
            -0.167122379,
            -0.16785194,
            -0.168581486,
            -0.169311032,
            -0.170040578,
            -0.170770139,
            -0.171499684,
            -0.17222923,
            -0.172958776,
            -0.173688337,
            -0.174417883,
            -0.175147429,
            -0.175876975,
            -0.176606536,
            -0.177336082,
            -0.178065628,
            -0.178795174,
            -0.179524735,
            -0.180254281,
            -0.180983827,
            -0.181713372,
            -0.182442933,
            -0.183172479,
            -0.183902025,
            -0.184631571,
            -0.185361132,
            -0.186090678,
            -0.186820224,
            -0.18754977,
            -0.188279331,
            -0.189008877,
            -0.189738423,
            -0.190467969,
            -0.191197529,
            -0.191927075,
            -0.192656621,
            -0.193386167,
            -0.194115728,
            -0.194845274,
            -0.19557482,
            -0.196304366,
            -0.197033912,
            -0.197763473,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197677299,
            -0.196947753,
            -0.196218207,
            -0.195488647,
            -0.194759101,
            -0.194029555,
            -0.193300009,
            -0.192570448,
            -0.191840902,
            -0.191111356,
            -0.19038181,
            -0.189652249,
            -0.188922703,
            -0.188193157,
            -0.187463611,
            -0.186734051,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186452582,
            -0.187182128,
            -0.187911674,
            -0.18864122,
            -0.189370781,
            -0.190100327,
            -0.190829873,
            -0.191559419,
            -0.19228898,
            -0.193018526,
            -0.193748072,
            -0.194477618,
            -0.195207179,
            -0.195936725,
            -0.19666627,
            -0.197395816,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198759183,
            -0.199731916,
            -0.200704649,
            -0.201677382,
            -0.202650115,
            -0.203622848,
            -0.204595581,
            -0.205568314,
            -0.206541047,
            -0.207513779,
            -0.208486512,
            -0.209459245,
            -0.210431978,
            -0.211404711,
            -0.212377444,
            -0.213350177,
            -0.214621618,
            -0.21608071,
            -0.217539817,
            -0.218998909,
            -0.220458016,
            -0.221917108,
            -0.223376215,
            -0.224835306,
            -0.226294413,
            -0.227753505,
            -0.229212612,
            -0.230671704,
            -0.232130811,
            -0.233589903,
            -0.235049009,
            -0.236508101,
            -0.23761104,
            -0.238340601,
            -0.239070147,
            -0.239799693,
            -0.240529239,
            -0.2412588,
            -0.241988346,
            -0.242717892,
            -0.243447438,
            -0.244176999,
            -0.244906545,
            -0.245636091,
            -0.246365637,
            -0.247095197,
            -0.247824743,
            -0.248554289,
            -0.249283835,
            -0.250013381,
            -0.250742942,
            -0.251472503,
            -0.252202034,
            -0.252931595,
            -0.253661156,
            -0.254390687,
            -0.255120248,
            -0.255849808,
            -0.25657934,
            -0.2573089,
            -0.258038461,
            -0.258768022,
            -0.259497553,
            -0.260227114,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260703892,
            -0.25997436,
            -0.2592448,
            -0.258515239,
            -0.257785708,
            -0.257056147,
            -0.256326586,
            -0.255597055,
            -0.254867494,
            -0.254137933,
            -0.253408402,
            -0.252678841,
            -0.251949281,
            -0.251219749,
            -0.250490189,
            -0.249760628,
            -0.249031082,
            -0.248301536,
            -0.24757199,
            -0.246842429,
            -0.246112883,
            -0.245383337,
            -0.244653791,
            -0.24392423,
            -0.243194684,
            -0.242465138,
            -0.241735592,
            -0.241006032,
            -0.240276486,
            -0.23954694,
            -0.238817394,
            -0.238087833,
            -0.237358287,
            -0.236628741,
            -0.235899195,
            -0.235169634,
            -0.234440088,
            -0.233710542,
            -0.232980996,
            -0.232251436,
            -0.23152189,
            -0.230792344,
            -0.230062798,
            -0.229333237,
            -0.228603691,
            -0.227874145,
            -0.227144599,
            -0.226415038,
            -0.225685492,
            -0.224955946,
            -0.2242264,
            -0.223496839,
            -0.222767293,
            -0.222037748,
            -0.221308202,
            -0.220578641,
            -0.219849095,
            -0.219119549,
            -0.218390003,
            -0.217660457,
            -0.216930896,
            -0.21620135,
            -0.215471804,
            -0.214742258,
            -0.214012697,
            -0.213135704,
            -0.212162971,
            -0.211190239,
            -0.210217506,
            -0.209244773,
            -0.20827204,
            -0.207299307,
            -0.206326574,
            -0.205353841,
            -0.204381108,
            -0.20340839,
            -0.202435642,
            -0.201462924,
            -0.200490177,
            -0.199517459,
            -0.198544711,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197964519,
            -0.197234973,
            -0.196505427,
            -0.195775881,
            -0.195046321,
            -0.194316775,
            -0.193587229,
            -0.192857683,
            -0.192128122,
            -0.191398576,
            -0.19066903,
            -0.189939484,
            -0.189209938,
            -0.188480377,
            -0.187750831,
            -0.187021285,
            -0.186291724,
            -0.184849873,
            -0.183390766,
            -0.181931674,
            -0.180472568,
            -0.179013476,
            -0.177554369,
            -0.176095277,
            -0.17463617,
            -0.173177078,
            -0.171717972,
            -0.17025888,
            -0.168799773,
            -0.167340681,
            -0.165881574,
            -0.164422482,
            -0.162963375,
            -0.162124678,
            -0.161395133,
            -0.160665587,
            -0.159936041,
            -0.15920648,
            -0.158476934,
            -0.157747388,
            -0.157017842,
            -0.156288281,
            -0.155558735,
            -0.154829189,
            -0.154099643,
            -0.153370082,
            -0.152640536,
            -0.15191099,
            -0.151181445,
            -0.150451884,
            -0.149722338,
            -0.148992792,
            -0.148263246,
            -0.147533685,
            -0.146804139,
            -0.146074593,
            -0.145345047,
            -0.144615501,
            -0.14388594,
            -0.143156394,
            -0.142426848,
            -0.141697288,
            -0.140967742,
            -0.140238196,
            -0.13950865,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.138878673,
            -0.137905926,
            -0.136933193,
            -0.13596046,
            -0.134987727,
            -0.134014994,
            -0.133042261,
            -0.132069528,
            -0.131096795,
            -0.130124062,
            -0.129151314,
            -0.128178582,
            -0.127205849,
            -0.126233116,
            -0.125260383,
            -0.12428765,
            -0.123368531,
            -0.122638978,
            -0.121909425,
            -0.121179871,
            -0.120450325,
            -0.119720772,
            -0.118991219,
            -0.118261665,
            -0.117532119,
            -0.116802566,
            -0.116073012,
            -0.115343466,
            -0.114613913,
            -0.11388436,
            -0.113154806,
            -0.11242526,
            -0.111695707,
            -0.110966161,
            -0.110236607,
            -0.109507062,
            -0.108777516,
            -0.10804797,
            -0.107318416,
            -0.10658887,
            -0.105859324,
            -0.105129778,
            -0.104400232,
            -0.103670679,
            -0.102941133,
            -0.102211587,
            -0.101482034,
            -0.100752488,
            -0.100022942,
            -0.0992933959,
            -0.0985638425,
            -0.0978342965,
            -0.0971047431,
            -0.0963751972,
            -0.0956456438,
            -0.0949160978,
            -0.0941865444,
            -0.0934569985,
            -0.0927274451,
            -0.0919978991,
            -0.0912683457,
            -0.0905387998,
            -0.0898092464,
            -0.0890797004,
            -0.088350147,
            -0.0868010521,
            -0.0850987732,
            -0.0833964869,
            -0.0816942081,
            -0.0799919218,
            -0.0782896429,
            -0.0765873566,
            -0.0748850778,
            -0.0731827915,
            -0.0714805126,
            -0.0697782263,
            -0.0680759475,
            -0.0663736612,
            -0.0646713823,
            -0.0629691035,
            -0.0612668172,
            -0.059738785,
            -0.0582796857,
            -0.0568205863,
            -0.055361487,
            -0.0539023876,
            -0.0524432883,
            -0.0509841889,
            -0.0495250896,
            -0.0480659902,
            -0.0466068909,
            -0.0451477915,
            -0.0436886922,
            -0.0422295928,
            -0.0407704934,
            -0.0393113941,
            -0.0378522947,
            -0.0368240327,
            -0.036094483,
            -0.0353649333,
            -0.0346353836,
            -0.033905834,
            -0.0331762843,
            -0.0324467346,
            -0.0317171849,
            -0.0309876371,
            -0.0302580874,
            -0.0295285378,
            -0.0287989881,
            -0.0280694384,
            -0.0273398887,
            -0.0266103391,
            -0.0258807894,
            -0.0251512397,
            -0.02442169,
            -0.0236921404,
            -0.0229625907,
            -0.022233041,
            -0.0215034932,
            -0.0207739435,
            -0.0200443938,
            -0.0193148442,
            -0.0185852945,
            -0.0178557448,
            -0.0171261951,
            -0.0163966455,
            -0.0156670958,
            -0.0149375461,
            -0.0142079964,
            -0.0133961095,
            -0.0124233766,
            -0.0114506437,
            -0.0104779107,
            -0.00950517785,
            -0.00853244495,
            -0.00755971251,
            -0.00658697961,
            -0.00561424717,
            -0.00464151427,
            -0.00366878137,
            -0.00269604847,
            -0.00172331557,
            -0.000750582665,
            0.000222150236,
            0.00119488314,
            0.00211591506,
            0.00284546474,
            0.00357501442,
            0.00430456363,
            0.0050341133,
            0.00576366298,
            0.00649321266,
            0.00722276233,
            0.00795231201,
            0.00868186168,
            0.00941141136,
            0.010140961,
            0.0108705098,
            0.0116000595,
            0.0123296091,
            0.0130591588,
            0.0137887085,
            0.0145182582,
            0.0152478078,
            0.0159773566,
            0.0167069063,
            0.0174364559,
            0.0181660056,
            0.0188955553,
            0.019625105,
            0.0203546546,
            0.0210842043,
            0.021813754,
            0.0225433037,
            0.0232728533,
            0.024002403,
            0.0247319527,
            0.0254615024,
            0.0268918779,
            0.0283509772,
            0.0298100766,
            0.0312691778,
            0.0327282771,
            0.0341873765,
            0.0356464759,
            0.0371055752,
            0.0385646708,
            0.0400237702,
            0.0414828695,
            0.0429419689,
            0.0444010682,
            0.0458601676,
            0.0473192669,
            0.0487783663,
            0.0504404381,
            0.0521427207,
            0.0538450032,
            0.0555472858,
            0.0572495684,
            0.0589518473,
            0.0606541336,
            0.0623564124,
            0.0640586987,
            0.0657609776,
            0.0674632639,
            0.0691655427,
            0.0708678216,
            0.0725701079,
            0.0742723942,
            0.075974673,
            0.07750462,
            0.0789637193,
            0.0804228187,
            0.081881918,
            0.0833410174,
            0.0848001167,
            0.0862592161,
            0.0877183154,
            0.0891774148,
            0.0906365141,
            0.0920956135,
            0.0935547128,
            0.0950138122,
            0.0964729115,
            0.0979320109,
            0.0993911102,
            0.10085021,
            0.102309309,
            0.103768408,
            0.105227508,
            0.106686607,
            0.108145706,
            0.109604806,
            0.111063905,
            0.112523004,
            0.113982096,
            0.115441203,
            0.116900295,
            0.118359402,
            0.119818494,
            0.121277601,
            0.122736692,
            0.123973675,
            0.124946408,
            0.125919133,
            0.126891866,
            0.127864599,
            0.128837332,
            0.129810065,
            0.130782798,
            0.131755531,
            0.132728264,
            0.133700997,
            0.13467373,
            0.135646462,
            0.136619195,
            0.137591928,
            0.138564661,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139273152,
            0.140002698,
            0.140732259,
            0.141461805,
            0.14219135,
            0.142920896,
            0.143650457,
            0.144380003,
            0.145109549,
            0.145839095,
            0.146568656,
            0.147298202,
            0.148027748,
            0.148757294,
            0.14948684,
            0.150216401,
            0.150945947,
            0.152370572,
            0.153829679,
            0.155288771,
            0.156747878,
            0.158206969,
            0.159666076,
            0.161125168,
            0.162584275,
            0.164043367,
            0.165502474,
            0.166961566,
            0.168420672,
            0.169879764,
            0.171338871,
            0.172797963,
            0.17425707,
            0.175112993,
            0.175842538,
            0.176572099,
            0.177301645,
            0.178031191,
            0.178760737,
            0.179490298,
            0.180219844,
            0.18094939,
            0.181678936,
            0.182408497,
            0.183138043,
            0.183867589,
            0.184597135,
            0.185326695,
            0.186056241,
            0.186956212,
            0.187928945,
            0.188901678,
            0.189874426,
            0.190847158,
            0.191819891,
            0.192792624,
            0.193765372,
            0.194738105,
            0.195710838,
            0.196683571,
            0.197656304,
            0.198629051,
            0.199601784,
            0.200574517,
            0.201547265,
            0.20238021,
            0.203109756,
            0.203839302,
            0.204568848,
            0.205298394,
            0.20602794,
            0.206757486,
            0.207487032,
            0.208216578,
            0.208946124,
            0.20967567,
            0.210405216,
            0.211134762,
            0.211864308,
            0.212593853,
            0.213323399,
            0.214052945,
            0.214782491,
            0.215512037,
            0.216241598,
            0.216971144,
            0.21770069,
            0.218430236,
            0.219159797,
            0.219889343,
            0.220618889,
            0.221348435,
            0.222077996,
            0.222807541,
            0.223537087,
            0.224266633,
            0.224996179,
            0.22572574,
            0.226455286,
            0.227184832,
            0.227914378,
            0.228643939,
            0.229373485,
            0.230103031,
            0.230832577,
            0.231562138,
            0.232291684,
            0.23302123,
            0.233750775,
            0.234480336,
            0.235209882,
            0.235939428,
            0.236668974,
            0.237398535,
            0.238128081,
            0.238857627,
            0.239587173,
            0.240316734,
            0.24104628,
            0.241775826,
            0.242505372,
            0.243234932,
            0.243964478,
            0.244694024,
            0.24542357,
            0.246153131,
            0.246882677,
            0.247612223,
            0.248341769,
            0.24907133,
            0.249800876,
            0.250530422,
            0.251259983,
            0.251989543,
            0.252719104,
            0.253448635,
            0.254178196,
            0.254907757,
            0.255637288,
            0.256366849,
            0.25709641,
            0.257825971,
            0.258555532,
            0.259285063,
            0.260014623,
            0.260744184,
            0.261703521,
            0.262676239,
            0.263648987,
            0.264621705,
            0.265594453,
            0.2665672,
            0.267539918,
            0.268512666,
            0.269485414,
            0.270458132,
            0.27143088,
            0.272403598,
            0.273376346,
            0.274349093,
            0.275321811,
            0.276294559,
            0.275674134,
            0.274701416,
            0.273728669,
            0.272755951,
            0.271783203,
            0.270810455,
            0.269837737,
            0.268864989,
            0.267892271,
            0.266919523,
            0.265946776,
            0.264974058,
            0.26400131,
            0.263028562,
            0.262055844,
            0.261083096,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.26133585,
            0.262308598,
            0.263281345,
            0.264254063,
            0.265226811,
            0.266199529,
            0.267172277,
            0.268145025,
            0.269117743,
            0.270090491,
            0.271063238,
            0.272035956,
            0.273008704,
            0.273981422,
            0.27495417,
            0.275926918,
            0.277114093,
            0.278573185,
            0.280032307,
            0.281491399,
            0.282950491,
            0.284409583,
            0.285868675,
            0.287327766,
            0.288786858,
            0.29024595,
            0.291705042,
            0.293164164,
            0.294623256,
            0.296082348,
            0.29754144,
            0.299000531,
            0.300459623,
            0.301918715,
            0.303377837,
            0.304836929,
            0.306296021,
            0.307755113,
            0.309214234,
            0.310673326,
            0.312132418,
            0.31359151,
            0.315050632,
            0.316509724,
            0.317968816,
            0.319427907,
            0.320887029,
            0.322346121,
            0.323713303,
            0.32468605,
            0.325658768,
            0.326631516,
            0.327604234,
            0.328576982,
            0.3295497,
            0.330522448,
            0.331495166,
            0.332467914,
            0.333440632,
            0.334413379,
            0.335386097,
            0.336358845,
            0.337331563,
            0.338304311,
            0.339154482,
            0.338181734,
            0.337209016,
            0.336236268,
            0.33526355,
            0.334290802,
            0.333318084,
            0.332345366,
            0.331372619,
            0.330399871,
            0.329427153,
            0.328454435,
            0.327481687,
            0.326508969,
            0.325536221,
            0.324563503,
            0.323590755,
            0.322845876,
            0.322116345,
            0.321386784,
            0.320657253,
            0.319927692,
            0.319198132,
            0.318468601,
            0.31773904,
            0.317009479,
            0.316279948,
            0.315550387,
            0.314820856,
            0.314091295,
            0.313361734,
            0.312632203,
            0.311902642,
            0.311173081,
            0.31044355,
            0.309713989,
            0.308984458,
            0.308254898,
            0.307525337,
            0.306795806,
            0.306066245,
            0.305336684,
            0.304607153,
            0.303877592,
            0.303148061,
            0.3024185,
            0.301688939,
            0.300959408,
            0.300229847,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.299592227,
            0.298862666,
            0.298133105,
            0.297403574,
            0.296674013,
            0.295944452,
            0.295214921,
            0.29448536,
            0.293755829,
            0.293026268,
            0.292296708,
            0.291567177,
            0.290837616,
            0.290108055,
            0.289378524,
            0.288648963,
            0.287919432,
            0.287189871,
            0.28646034,
            0.285730779,
            0.285001248,
            0.284271687,
            0.283542156,
            0.282812595,
            0.282083064,
            0.281353503,
            0.280623972,
            0.279894412,
            0.279164881,
            0.27843532,
            0.277705789,
            0.276976228,
            0.275947958,
            0.274245679,
            0.272543401,
            0.270841092,
            0.269138813,
            0.267436534,
            0.265734226,
            0.264031947,
            0.262329638,
            0.260627359,
            0.25892508,
            0.257222772,
            0.255520493,
            0.253818214,
            0.252115905,
            0.250413626,
            0.248887494,
            0.248157948,
            0.247428402,
            0.246698856,
            0.245969296,
            0.24523975,
            0.244510204,
            0.243780658,
            0.243051097,
            0.242321551,
            0.241592005,
            0.240862459,
            0.240132898,
            0.239403352,
            0.238673806,
            0.23794426,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237840861,
            0.238570407,
            0.239299953,
            0.240029499,
            0.24075906,
            0.241488606,
            0.242218152,
            0.242947698,
            0.243677258,
            0.244406804,
            0.24513635,
            0.245865896,
            0.246595442,
            0.247325003,
            0.248054549,
            0.248784095,
            0.249513656,
            0.250243217,
            0.250972748,
            0.251702309,
            0.25243187,
            0.25316143,
            0.253890961,
            0.254620522,
            0.255350083,
            0.256079644,
            0.256809175,
            0.257538736,
            0.258268297,
            0.258997858,
            0.259727389,
            0.260456949,
            0.261320531,
            0.262293279,
            0.263266027,
            0.264238745,
            0.265211493,
            0.266184211,
            0.267156959,
            0.268129706,
            0.269102424,
            0.270075172,
            0.27104792,
            0.272020638,
            0.272993386,
            0.273966104,
            0.274938852,
            0.275911599,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276424766,
            0.275452018,
            0.2744793,
            0.273506552,
            0.272533804,
            0.271561086,
            0.270588338,
            0.26961562,
            0.268642873,
            0.267670125,
            0.266697407,
            0.265724659,
            0.264751941,
            0.263779193,
            0.262806445,
            0.261833727,
            0.26086098,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260388017,
            0.259658456,
            0.258928895,
            0.258199364,
            0.257469803,
            0.256740242,
            0.256010711,
            0.25528115,
            0.254551589,
            0.253822029,
            0.253092498,
            0.252362937,
            0.251633376,
            0.250903815,
            0.250174284,
            0.249444723,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249140263,
            0.249869809,
            0.250599355,
            0.251328915,
            0.252058476,
            0.252788037,
            0.253517568,
            0.254247129,
            0.25497669,
            0.255706251,
            0.256435782,
            0.257165343,
            0.257894903,
            0.258624464,
            0.259353995,
            0.260083556,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.261672884,
            0.262645602,
            0.26361835,
            0.264591068,
            0.265563816,
            0.266536564,
            0.267509282,
            0.268482029,
            0.269454777,
            0.270427495,
            0.271400243,
            0.272372961,
            0.273345709,
            0.274318457,
            0.275291175,
            0.276263922,
            0.277045161,
            0.277774721,
            0.278504252,
            0.279233813,
            0.279963344,
            0.280692905,
            0.281422436,
            0.282151997,
            0.282881528,
            0.283611089,
            0.28434062,
            0.285070181,
            0.285799712,
            0.286529273,
            0.287258804,
            0.287988365,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.287936658,
            0.287207097,
            0.286477566,
            0.285748005,
            0.285018474,
            0.284288913,
            0.283559382,
            0.282829821,
            0.28210029,
            0.281370729,
            0.280641198,
            0.279911637,
            0.279182106,
            0.278452545,
            0.277723014,
            0.276993454,
            0.27619499,
            0.275222242,
            0.274249524,
            0.273276776,
            0.272304028,
            0.27133131,
            0.270358562,
            0.269385815,
            0.268413097,
            0.267440349,
            0.266467631,
            0.265494883,
            0.264522135,
            0.263549417,
            0.262576669,
            0.261603951,
            0.2606695,
            0.259939939,
            0.259210378,
            0.258480847,
            0.257751286,
            0.257021725,
            0.256292164,
            0.255562633,
            0.254833072,
            0.254103512,
            0.253373951,
            0.25264442,
            0.251914859,
            0.251185298,
            0.250455737,
            0.249726191,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.24835901,
            0.247629464,
            0.246899903,
            0.246170357,
            0.245440811,
            0.244711265,
            0.243981704,
            0.243252158,
            0.242522612,
            0.241793066,
            0.241063505,
            0.240333959,
            0.239604414,
            0.238874868,
            0.238145307,
            0.237415761,
            0.236686215,
            0.235956669,
            0.235227108,
            0.234497562,
            0.233768016,
            0.23303847,
            0.232308909,
            0.231579363,
            0.230849817,
            0.230120271,
            0.229390711,
            0.228661165,
            0.227931619,
            0.227202073,
            0.226472527,
            0.225742966,
            0.224536628,
            0.223077536,
            0.221618444,
            0.220159337,
            0.218700245,
            0.217241153,
            0.215782061,
            0.214322954,
            0.212863863,
            0.211404771,
            0.209945679,
            0.208486587,
            0.20702748,
            0.205568388,
            0.204109296,
            0.202650204,
            0.201062799,
            0.19936052,
            0.197658241,
            0.195955947,
            0.194253653,
            0.192551374,
            0.190849096,
            0.189146802,
            0.187444523,
            0.185742229,
            0.18403995,
            0.182337657,
            0.180635378,
            0.178933084,
            0.177230805,
            0.175528511,
            0.17392388,
            0.172464788,
            0.171005681,
            0.169546589,
            0.168087482,
            0.166628391,
            0.165169299,
            0.163710192,
            0.162251085,
            0.160791993,
            0.159332901,
            0.157873794,
            0.156414688,
            0.154955596,
            0.153496504,
            0.152037397,
            0.15051128,
            0.148809001,
            0.147106722,
            0.145404428,
            0.143702149,
            0.141999871,
            0.140297592,
            0.138595298,
            0.136893019,
            0.13519074,
            0.133488461,
            0.131786168,
            0.130083889,
            0.12838161,
            0.126679331,
            0.124977045,
            0.123311147,
            0.121852048,
            0.120392948,
            0.118933849,
            0.11747475,
            0.11601565,
            0.114556551,
            0.113097452,
            0.111638352,
            0.110179253,
            0.108720154,
            0.107261054,
            0.105801955,
            0.104342856,
            0.102883756,
            0.101424657,
            0.0999827906,
            0.0992532372,
            0.0985236913,
            0.0977941453,
            0.0970645919,
            0.096335046,
            0.0956054926,
            0.0948759466,
            0.0941463932,
            0.0934168473,
            0.0926872939,
            0.0919577479,
            0.0912281945,
            0.0904986486,
            0.0897690952,
            0.0890395492,
            0.0883099958,
            0.0875804499,
            0.0868508965,
            0.0861213505,
            0.0853917971,
            0.0846622512,
            0.0839326978,
            0.0832031518,
            0.0824735984,
            0.0817440525,
            0.0810144991,
            0.0802849531,
            0.0795553997,
            0.0788258538,
            0.0780963004,
            0.0773667544,
            0.076637201,
            0.0751570389,
            0.07345476,
            0.0717524737,
            0.0700501949,
            0.0683479086,
            0.0666456297,
            0.0649433434,
            0.0632410645,
            0.061538782,
            0.0598364994,
            0.0581342168,
            0.0564319342,
            0.0547296554,
            0.0530273691,
            0.0513250902,
            0.0496228039,
            0.0485485867,
            0.047819037,
            0.0470894873,
            0.0463599376,
            0.045630388,
            0.0449008383,
            0.0441712886,
            0.0434417389,
            0.0427121893,
            0.0419826396,
            0.0412530899,
            0.0405235402,
            0.0397939906,
            0.0390644446,
            0.0383348912,
            0.0376053452,
            0.0368757918,
            0.0361462422,
            0.0354166925,
            0.0346871465,
            0.0339575969,
            0.0332280472,
            0.0324984975,
            0.0317689478,
            0.0310393963,
            0.0303098466,
            0.0295802988,
            0.0288507491,
            0.0281211995,
            0.0273916498,
            0.0266621001,
            0.0259325504,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0250995997,
            0.0236405004,
            0.022181401,
            0.0207223017,
            0.0192632023,
            0.017804103,
            0.0163450055,
            0.0148859052,
            0.0134268058,
            0.0119677065,
            0.0105086081,
            0.00904950872,
            0.00759040937,
            0.00613131002,
            0.00467221066,
            0.00321311131,
            0.00182294636,
            0.000850213575,
            -0.00012251921,
            -0.00109525211,
            -0.00206798501,
            -0.00304071745,
            -0.00401345035,
            -0.00498618325,
            -0.00595891569,
            -0.00693164859,
            -0.00790438149,
            -0.00887711439,
            -0.00984984729,
            -0.0108225802,
            -0.0117953122,
            -0.0127680451,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0143745868,
            -0.0151041355,
            -0.0158336852,
            -0.0165632349,
            -0.0172927845,
            -0.0180223342,
            -0.0187518839,
            -0.0194814336,
            -0.0202109832,
            -0.0209405329,
            -0.0216700826,
            -0.0223996323,
            -0.0231291801,
            -0.0238587297,
            -0.0245882794,
            -0.0253178291,
            -0.0266045947,
            -0.028063694,
            -0.0295227934,
            -0.0309818927,
            -0.0324409902,
            -0.0339000896,
            -0.0353591889,
            -0.0368182883,
            -0.0382773876,
            -0.039736487,
            -0.0411955863,
            -0.0426546857,
            -0.044113785,
            -0.0455728844,
            -0.0470319837,
            -0.0484910831,
            -0.0501052812,
            -0.0518075638,
            -0.0535098463,
            -0.0552121289,
            -0.0569144115,
            -0.0586166941,
            -0.0603189766,
            -0.0620212592,
            -0.0637235418,
            -0.0654258281,
            -0.067128107,
            -0.0688303858,
            -0.0705326721,
            -0.072234951,
            -0.0739372373,
            -0.0756395161,
            -0.0772173405,
            -0.0786764324,
            -0.0801355317,
            -0.0815946311,
            -0.0830537304,
            -0.0845128298,
            -0.0859719291,
            -0.0874310285,
            -0.0888901278,
            -0.0903492272,
            -0.0918083265,
            -0.0932674259,
            -0.0947265252,
            -0.0961856246,
            -0.097644724,
            -0.0991038233,
            -0.100562923,
            -0.102022022,
            -0.103481121,
            -0.104940221,
            -0.10639932,
            -0.107858419,
            -0.109317519,
            -0.110776618,
            -0.112235717,
            -0.113694817,
            -0.115153916,
            -0.116613016,
            -0.118072115,
            -0.119531214,
            -0.120990314,
            -0.122449413,
            -0.123782136,
            -0.124754868,
            -0.125727609,
            -0.126700342,
            -0.127673075,
            -0.128645808,
            -0.12961854,
            -0.130591273,
            -0.131564006,
            -0.132536739,
            -0.133509472,
            -0.13448222,
            -0.135454953,
            -0.136427686,
            -0.137400419,
            -0.138373151,
            -0.13931334,
            -0.140042886,
            -0.140772432,
            -0.141501978,
            -0.142231539,
            -0.142961085,
            -0.143690631,
            -0.144420177,
            -0.145149738,
            -0.145879284,
            -0.146608829,
            -0.147338375,
            -0.148067921,
            -0.148797482,
            -0.149527028,
            -0.150256574,
            -0.150986135,
            -0.151715681,
            -0.152445227,
            -0.153174773,
            -0.153904319,
            -0.15463388,
            -0.155363426,
            -0.156092972,
            -0.156822518,
            -0.157552078,
            -0.158281624,
            -0.15901117,
            -0.159740716,
            -0.160470277,
            -0.161199823,
            -0.161929369,
            -0.162658915,
            -0.163388476,
            -0.164118022,
            -0.164847568,
            -0.165577114,
            -0.166306674,
            -0.16703622,
            -0.167765766,
            -0.168495312,
            -0.169224873,
            -0.169954419,
            -0.170683965,
            -0.171413511,
            -0.172143072,
            -0.172872618,
            -0.173602164,
            -0.17433171,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174325973,
            -0.173596427,
            -0.172866866,
            -0.17213732,
            -0.171407774,
            -0.170678228,
            -0.169948667,
            -0.169219121,
            -0.168489575,
            -0.167760029,
            -0.167030469,
            -0.166300923,
            -0.165571377,
            -0.164841831,
            -0.16411227,
            -0.163382724,
            -0.162653178,
            -0.161923632,
            -0.161194071,
            -0.160464525,
            -0.159734979,
            -0.159005433,
            -0.158275872,
            -0.157546327,
            -0.156816781,
            -0.156087235,
            -0.155357674,
            -0.154628128,
            -0.153898582,
            -0.153169036,
            -0.152439475,
            -0.151709929
          ],
          [
            -0.150980383,
            -0.151709929,
            -0.152439475,
            -0.153169036,
            -0.153898582,
            -0.154628128,
            -0.155357674,
            -0.156087235,
            -0.156816781,
            -0.157546327,
            -0.158275872,
            -0.159005433,
            -0.159734979,
            -0.160464525,
            -0.161194071,
            -0.161923632,
            -0.162653178,
            -0.163382724,
            -0.16411227,
            -0.164841831,
            -0.165571377,
            -0.166300923,
            -0.167030469,
            -0.167760029,
            -0.168489575,
            -0.169219121,
            -0.169948667,
            -0.170678228,
            -0.171407774,
            -0.17213732,
            -0.172866866,
            -0.173596427,
            -0.174325973,
            -0.175055519,
            -0.175785065,
            -0.176514626,
            -0.177244172,
            -0.177973717,
            -0.178703263,
            -0.179432824,
            -0.18016237,
            -0.180891916,
            -0.181621462,
            -0.182351023,
            -0.183080569,
            -0.183810115,
            -0.184539661,
            -0.185269207,
            -0.185998768,
            -0.186728314,
            -0.18745786,
            -0.188187405,
            -0.188916966,
            -0.189646512,
            -0.190376058,
            -0.191105604,
            -0.191835165,
            -0.192564711,
            -0.193294257,
            -0.194023803,
            -0.194753364,
            -0.19548291,
            -0.196212456,
            -0.196942002,
            -0.197671562,
            -0.197677299,
            -0.196947753,
            -0.196218207,
            -0.195488647,
            -0.194759101,
            -0.194029555,
            -0.193300009,
            -0.192570448,
            -0.191840902,
            -0.191111356,
            -0.19038181,
            -0.189652249,
            -0.188922703,
            -0.188193157,
            -0.187463611,
            -0.186734051,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186998308,
            -0.187727854,
            -0.1884574,
            -0.189186946,
            -0.189916506,
            -0.190646052,
            -0.191375598,
            -0.192105144,
            -0.192834705,
            -0.193564251,
            -0.194293797,
            -0.195023343,
            -0.195752904,
            -0.19648245,
            -0.197211996,
            -0.197941542,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.199084699,
            -0.200786978,
            -0.202489272,
            -0.204191551,
            -0.205893829,
            -0.207596108,
            -0.209298402,
            -0.211000681,
            -0.21270296,
            -0.214405239,
            -0.216107517,
            -0.217809811,
            -0.21951209,
            -0.221214369,
            -0.222916648,
            -0.224618942,
            -0.225846335,
            -0.226575896,
            -0.227305442,
            -0.228034988,
            -0.228764534,
            -0.229494095,
            -0.230223641,
            -0.230953187,
            -0.231682733,
            -0.232412294,
            -0.23314184,
            -0.233871385,
            -0.234600931,
            -0.235330492,
            -0.236060038,
            -0.236789584,
            -0.23751913,
            -0.238248691,
            -0.238978237,
            -0.239707783,
            -0.240437329,
            -0.24116689,
            -0.241896436,
            -0.242625982,
            -0.243355528,
            -0.244085073,
            -0.244814634,
            -0.24554418,
            -0.246273726,
            -0.247003272,
            -0.247732833,
            -0.248462379,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.248939171,
            -0.248209625,
            -0.247480065,
            -0.246750519,
            -0.246020973,
            -0.245291427,
            -0.244561866,
            -0.24383232,
            -0.243102774,
            -0.242373228,
            -0.241643667,
            -0.240914121,
            -0.240184575,
            -0.239455029,
            -0.238725483,
            -0.237995923,
            -0.237266377,
            -0.236536831,
            -0.235807285,
            -0.235077724,
            -0.234348178,
            -0.233618632,
            -0.232889086,
            -0.232159525,
            -0.231429979,
            -0.230700433,
            -0.229970887,
            -0.229241326,
            -0.228511781,
            -0.227782235,
            -0.227052689,
            -0.226323128,
            -0.225593582,
            -0.224864036,
            -0.22413449,
            -0.223404929,
            -0.222675383,
            -0.221945837,
            -0.221216291,
            -0.22048673,
            -0.219757184,
            -0.219027638,
            -0.218298092,
            -0.217568532,
            -0.216838986,
            -0.21610944,
            -0.215379894,
            -0.214650333,
            -0.213920787,
            -0.213013157,
            -0.212040424,
            -0.211067691,
            -0.210094959,
            -0.209122226,
            -0.208149493,
            -0.20717676,
            -0.206204027,
            -0.205231294,
            -0.204258561,
            -0.203285828,
            -0.202313095,
            -0.201340362,
            -0.20036763,
            -0.199394897,
            -0.198422164,
            -0.197596878,
            -0.196867332,
            -0.196137786,
            -0.195408225,
            -0.194678679,
            -0.193949133,
            -0.193219587,
            -0.192490026,
            -0.19176048,
            -0.191030934,
            -0.190301389,
            -0.189571828,
            -0.188842282,
            -0.188112736,
            -0.18738319,
            -0.186653629,
            -0.186624914,
            -0.18735446,
            -0.188084006,
            -0.188813567,
            -0.189543113,
            -0.190272659,
            -0.191002205,
            -0.191731766,
            -0.192461312,
            -0.193190858,
            -0.193920404,
            -0.194649965,
            -0.195379511,
            -0.196109056,
            -0.196838602,
            -0.197568148,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197964519,
            -0.197234973,
            -0.196505427,
            -0.195775881,
            -0.195046321,
            -0.194316775,
            -0.193587229,
            -0.192857683,
            -0.192128122,
            -0.191398576,
            -0.19066903,
            -0.189939484,
            -0.189209938,
            -0.188480377,
            -0.187750831,
            -0.187021285,
            -0.186291724,
            -0.184849873,
            -0.183390766,
            -0.181931674,
            -0.180472568,
            -0.179013476,
            -0.177554369,
            -0.176095277,
            -0.17463617,
            -0.173177078,
            -0.171717972,
            -0.17025888,
            -0.168799773,
            -0.167340681,
            -0.165881574,
            -0.164422482,
            -0.162963375,
            -0.162124678,
            -0.161395133,
            -0.160665587,
            -0.159936041,
            -0.15920648,
            -0.158476934,
            -0.157747388,
            -0.157017842,
            -0.156288281,
            -0.155558735,
            -0.154829189,
            -0.154099643,
            -0.153370082,
            -0.152640536,
            -0.15191099,
            -0.151181445,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.15081954,
            -0.150089994,
            -0.149360433,
            -0.148630887,
            -0.147901341,
            -0.147171795,
            -0.146442235,
            -0.145712689,
            -0.144983143,
            -0.144253597,
            -0.143524036,
            -0.14279449,
            -0.142064944,
            -0.141335398,
            -0.140605837,
            -0.139876291,
            -0.139054835,
            -0.137352541,
            -0.135650262,
            -0.133947968,
            -0.13224569,
            -0.130543396,
            -0.128841117,
            -0.127138823,
            -0.125436544,
            -0.123734258,
            -0.122031972,
            -0.120329686,
            -0.118627399,
            -0.116925113,
            -0.115222827,
            -0.11352054,
            -0.111818254,
            -0.111058071,
            -0.110328525,
            -0.109598972,
            -0.108869426,
            -0.10813988,
            -0.107410334,
            -0.106680781,
            -0.105951235,
            -0.105221689,
            -0.104492143,
            -0.103762589,
            -0.103033043,
            -0.102303497,
            -0.101573952,
            -0.100844398,
            -0.100114852,
            -0.0987706482,
            -0.0973115414,
            -0.0958524495,
            -0.0943933502,
            -0.0929342508,
            -0.0914751515,
            -0.0900160521,
            -0.0885569528,
            -0.0870978534,
            -0.0856387541,
            -0.0841796547,
            -0.0827205554,
            -0.081261456,
            -0.0798023567,
            -0.0783432573,
            -0.076884158,
            -0.0752508119,
            -0.0735485256,
            -0.0718462467,
            -0.0701439604,
            -0.0684416816,
            -0.0667393953,
            -0.0650371164,
            -0.0633348301,
            -0.0616325513,
            -0.0599302649,
            -0.0582279861,
            -0.0565256998,
            -0.0548234209,
            -0.0531211346,
            -0.0514188558,
            -0.0497165732,
            -0.0481579006,
            -0.0466988012,
            -0.0452397056,
            -0.0437806062,
            -0.0423215069,
            -0.0408624075,
            -0.0394033082,
            -0.0379442088,
            -0.0364851095,
            -0.0350260101,
            -0.0335669108,
            -0.0321078114,
            -0.0306487121,
            -0.0291896127,
            -0.0277305134,
            -0.026271414,
            -0.0251512397,
            -0.02442169,
            -0.0236921404,
            -0.0229625907,
            -0.022233041,
            -0.0215034932,
            -0.0207739435,
            -0.0200443938,
            -0.0193148442,
            -0.0185852945,
            -0.0178557448,
            -0.0171261951,
            -0.0163966455,
            -0.0156670958,
            -0.0149375461,
            -0.0142079964,
            -0.0133961095,
            -0.0124233766,
            -0.0114506437,
            -0.0104779107,
            -0.00950517785,
            -0.00853244495,
            -0.00755971251,
            -0.00658697961,
            -0.00561424717,
            -0.00464151427,
            -0.00366878137,
            -0.00269604847,
            -0.00172331557,
            -0.000750582665,
            0.000222150236,
            0.00119488314,
            0.00211591506,
            0.00284546474,
            0.00357501442,
            0.00430456363,
            0.0050341133,
            0.00576366298,
            0.00649321266,
            0.00722276233,
            0.00795231201,
            0.00868186168,
            0.00941141136,
            0.010140961,
            0.0108705098,
            0.0116000595,
            0.0123296091,
            0.0130591588,
            0.0137887085,
            0.0145182582,
            0.0152478078,
            0.0159773566,
            0.0167069063,
            0.0174364559,
            0.0181660056,
            0.0188955553,
            0.019625105,
            0.0203546546,
            0.0210842043,
            0.021813754,
            0.0225433037,
            0.0232728533,
            0.024002403,
            0.0247319527,
            0.0254615024,
            0.0268918779,
            0.0283509772,
            0.0298100766,
            0.0312691778,
            0.0327282771,
            0.0341873765,
            0.0356464759,
            0.0371055752,
            0.0385646708,
            0.0400237702,
            0.0414828695,
            0.0429419689,
            0.0444010682,
            0.0458601676,
            0.0473192669,
            0.0487783663,
            0.0504404381,
            0.0521427207,
            0.0538450032,
            0.0555472858,
            0.0572495684,
            0.0589518473,
            0.0606541336,
            0.0623564124,
            0.0640586987,
            0.0657609776,
            0.0674632639,
            0.0691655427,
            0.0708678216,
            0.0725701079,
            0.0742723942,
            0.075974673,
            0.07750462,
            0.0789637193,
            0.0804228187,
            0.081881918,
            0.0833410174,
            0.0848001167,
            0.0862592161,
            0.0877183154,
            0.0891774148,
            0.0906365141,
            0.0920956135,
            0.0935547128,
            0.0950138122,
            0.0964729115,
            0.0979320109,
            0.0993911102,
            0.10085021,
            0.102309309,
            0.103768408,
            0.105227508,
            0.106686607,
            0.108145706,
            0.109604806,
            0.111063905,
            0.112523004,
            0.113982096,
            0.115441203,
            0.116900295,
            0.118359402,
            0.119818494,
            0.121277601,
            0.122736692,
            0.123973675,
            0.124946408,
            0.125919133,
            0.126891866,
            0.127864599,
            0.128837332,
            0.129810065,
            0.130782798,
            0.131755531,
            0.132728264,
            0.133700997,
            0.13467373,
            0.135646462,
            0.136619195,
            0.137591928,
            0.138564661,
            0.139456972,
            0.140186518,
            0.140916079,
            0.141645625,
            0.142375171,
            0.143104717,
            0.143834278,
            0.144563824,
            0.14529337,
            0.146022916,
            0.146752477,
            0.147482023,
            0.148211569,
            0.148941115,
            0.149670675,
            0.150400221,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151037857,
            0.151767418,
            0.152496964,
            0.153226525,
            0.153956071,
            0.154685631,
            0.155415177,
            0.156144738,
            0.156874284,
            0.15760383,
            0.158333391,
            0.159062952,
            0.159792498,
            0.160522044,
            0.161251605,
            0.161981151,
            0.162710711,
            0.164135337,
            0.165594429,
            0.167053536,
            0.168512627,
            0.169971719,
            0.171430811,
            0.172889918,
            0.17434901,
            0.175808102,
            0.177267194,
            0.178726301,
            0.180185392,
            0.181644484,
            0.183103576,
            0.184562683,
            0.186021775,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186956212,
            0.187928945,
            0.188901678,
            0.189874426,
            0.190847158,
            0.191819891,
            0.192792624,
            0.193765372,
            0.194738105,
            0.195710838,
            0.196683571,
            0.197656304,
            0.198629051,
            0.199601784,
            0.200574517,
            0.201547265,
            0.20238021,
            0.203109756,
            0.203839302,
            0.204568848,
            0.205298394,
            0.20602794,
            0.206757486,
            0.207487032,
            0.208216578,
            0.208946124,
            0.20967567,
            0.210405216,
            0.211134762,
            0.211864308,
            0.212593853,
            0.213323399,
            0.214052945,
            0.214782491,
            0.215512037,
            0.216241598,
            0.216971144,
            0.21770069,
            0.218430236,
            0.219159797,
            0.219889343,
            0.220618889,
            0.221348435,
            0.222077996,
            0.222807541,
            0.223537087,
            0.224266633,
            0.224996179,
            0.22572574,
            0.226455286,
            0.227184832,
            0.227914378,
            0.228643939,
            0.229373485,
            0.230103031,
            0.230832577,
            0.231562138,
            0.232291684,
            0.23302123,
            0.233750775,
            0.234480336,
            0.235209882,
            0.235939428,
            0.236668974,
            0.237398535,
            0.238128081,
            0.238857627,
            0.239587173,
            0.240316734,
            0.24104628,
            0.241775826,
            0.242505372,
            0.243234932,
            0.243964478,
            0.244694024,
            0.24542357,
            0.246153131,
            0.246882677,
            0.247612223,
            0.248341769,
            0.24907133,
            0.249800876,
            0.250530422,
            0.251259983,
            0.251989543,
            0.252719104,
            0.253448635,
            0.254178196,
            0.254907757,
            0.255637288,
            0.256366849,
            0.25709641,
            0.257825971,
            0.258555532,
            0.259285063,
            0.260014623,
            0.260744184,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.26018697,
            0.259457409,
            0.258727849,
            0.257998288,
            0.257268757,
            0.256539196,
            0.255809635,
            0.255080074,
            0.254350543,
            0.253620982,
            0.252891421,
            0.25216186,
            0.251432329,
            0.250702769,
            0.249973208,
            0.249243662,
            0.249525145,
            0.250254691,
            0.250984251,
            0.251713812,
            0.252443343,
            0.253172904,
            0.253902465,
            0.254632026,
            0.255361557,
            0.256091118,
            0.256820679,
            0.25755024,
            0.258279771,
            0.259009331,
            0.259738892,
            0.260468453,
            0.26133585,
            0.262308598,
            0.263281345,
            0.264254063,
            0.265226811,
            0.266199529,
            0.267172277,
            0.268145025,
            0.269117743,
            0.270090491,
            0.271063238,
            0.272035956,
            0.273008704,
            0.273981422,
            0.27495417,
            0.275926918,
            0.277114093,
            0.278573185,
            0.280032307,
            0.281491399,
            0.282950491,
            0.284409583,
            0.285868675,
            0.287327766,
            0.288786858,
            0.29024595,
            0.291705042,
            0.293164164,
            0.294623256,
            0.296082348,
            0.29754144,
            0.299000531,
            0.300459623,
            0.301918715,
            0.303377837,
            0.304836929,
            0.306296021,
            0.307755113,
            0.309214234,
            0.310673326,
            0.312132418,
            0.31359151,
            0.315050632,
            0.316509724,
            0.317968816,
            0.319427907,
            0.320887029,
            0.322346121,
            0.323713303,
            0.32468605,
            0.325658768,
            0.326631516,
            0.327604234,
            0.328576982,
            0.3295497,
            0.330522448,
            0.331495166,
            0.332467914,
            0.333440632,
            0.334413379,
            0.335386097,
            0.336358845,
            0.337331563,
            0.338304311,
            0.339108527,
            0.337406248,
            0.335703969,
            0.33400169,
            0.332299381,
            0.330597103,
            0.328894824,
            0.327192545,
            0.325490266,
            0.323787987,
            0.322085708,
            0.32038343,
            0.318681121,
            0.316978842,
            0.315276563,
            0.313574284,
            0.311872005,
            0.311081171,
            0.31035164,
            0.309622079,
            0.308892548,
            0.308162987,
            0.307433426,
            0.306703895,
            0.305974334,
            0.305244774,
            0.304515243,
            0.303785682,
            0.303056151,
            0.30232659,
            0.301597029,
            0.300867498,
            0.300137937,
            0.299408376,
            0.298678845,
            0.297949284,
            0.297219753,
            0.296490192,
            0.295760632,
            0.295031101,
            0.29430154,
            0.293571979,
            0.292842448,
            0.292112887,
            0.291383356,
            0.290653795,
            0.289924234,
            0.289194703,
            0.288465142,
            0.287735611,
            0.28700605,
            0.286276519,
            0.285546958,
            0.284817427,
            0.284087867,
            0.283358335,
            0.282628775,
            0.281899244,
            0.281169683,
            0.280440152,
            0.279710591,
            0.27898106,
            0.278251499,
            0.277521968,
            0.276792407,
            0.275926918,
            0.27495417,
            0.273981422,
            0.273008704,
            0.272035956,
            0.271063238,
            0.270090491,
            0.269117743,
            0.268145025,
            0.267172277,
            0.266199529,
            0.265226811,
            0.264254063,
            0.263281345,
            0.262308598,
            0.26133585,
            0.260468453,
            0.259738892,
            0.259009331,
            0.258279771,
            0.25755024,
            0.256820679,
            0.256091118,
            0.255361557,
            0.254632026,
            0.253902465,
            0.253172904,
            0.252443343,
            0.251713812,
            0.250984251,
            0.250254691,
            0.249525145,
            0.248795584,
            0.248066038,
            0.247336492,
            0.246606946,
            0.245877385,
            0.245147839,
            0.244418293,
            0.243688747,
            0.242959186,
            0.24222964,
            0.241500095,
            0.240770549,
            0.240040988,
            0.239311442,
            0.238581896,
            0.23785235,
            0.237122789,
            0.236393243,
            0.235663697,
            0.234934151,
            0.23420459,
            0.233475044,
            0.232745498,
            0.232015952,
            0.231286392,
            0.230556846,
            0.2298273,
            0.229097754,
            0.228368193,
            0.227638647,
            0.226909101,
            0.226179555,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.226168066,
            0.226897612,
            0.227627158,
            0.228356704,
            0.229086265,
            0.229815811,
            0.230545357,
            0.231274903,
            0.232004464,
            0.23273401,
            0.233463556,
            0.234193102,
            0.234922662,
            0.235652208,
            0.236381754,
            0.2371113,
            0.237840861,
            0.238570407,
            0.239299953,
            0.240029499,
            0.24075906,
            0.241488606,
            0.242218152,
            0.242947698,
            0.243677258,
            0.244406804,
            0.24513635,
            0.245865896,
            0.246595442,
            0.247325003,
            0.248054549,
            0.248784095,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249421746,
            0.250151306,
            0.250880837,
            0.251610398,
            0.252339959,
            0.25306952,
            0.253799051,
            0.254528612,
            0.255258173,
            0.255987704,
            0.256717265,
            0.257446826,
            0.258176386,
            0.258905917,
            0.259635478,
            0.260365039,
            0.261197984,
            0.262170732,
            0.26314348,
            0.264116198,
            0.265088946,
            0.266061664,
            0.267034411,
            0.268007159,
            0.268979877,
            0.269952625,
            0.270925343,
            0.271898091,
            0.272870839,
            0.273843557,
            0.274816304,
            0.275789052,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276424766,
            0.275452018,
            0.2744793,
            0.273506552,
            0.272533804,
            0.271561086,
            0.270588338,
            0.26961562,
            0.268642873,
            0.267670125,
            0.266697407,
            0.265724659,
            0.264751941,
            0.263779193,
            0.262806445,
            0.261833727,
            0.26086098,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260388017,
            0.259658456,
            0.258928895,
            0.258199364,
            0.257469803,
            0.256740242,
            0.256010711,
            0.25528115,
            0.254551589,
            0.253822029,
            0.253092498,
            0.252362937,
            0.251633376,
            0.250903815,
            0.250174284,
            0.249444723,
            0.248715162,
            0.247985616,
            0.24725607,
            0.24652651,
            0.245796964,
            0.245067418,
            0.244337872,
            0.243608311,
            0.242878765,
            0.242149219,
            0.241419673,
            0.240690112,
            0.239960566,
            0.23923102,
            0.238501474,
            0.237771928,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237283647,
            0.238013193,
            0.238742739,
            0.239472285,
            0.240201831,
            0.240931392,
            0.241660938,
            0.242390484,
            0.24312003,
            0.24384959,
            0.244579136,
            0.245308682,
            0.246038228,
            0.246767789,
            0.247497335,
            0.248226881,
            0.248956427,
            0.249685988,
            0.250415534,
            0.251145095,
            0.251874655,
            0.252604187,
            0.253333747,
            0.254063308,
            0.254792869,
            0.2555224,
            0.256251961,
            0.256981522,
            0.257711083,
            0.258440614,
            0.259170175,
            0.259899735,
            0.260629296,
            0.261550307,
            0.262523055,
            0.263495803,
            0.264468521,
            0.265441269,
            0.266414016,
            0.267386734,
            0.268359482,
            0.2693322,
            0.270304948,
            0.271277696,
            0.272250414,
            0.273223162,
            0.27419591,
            0.275168628,
            0.276141375,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.27619499,
            0.275222242,
            0.274249524,
            0.273276776,
            0.272304028,
            0.27133131,
            0.270358562,
            0.269385815,
            0.268413097,
            0.267440349,
            0.266467631,
            0.265494883,
            0.264522135,
            0.263549417,
            0.262576669,
            0.261603951,
            0.2606695,
            0.259939939,
            0.259210378,
            0.258480847,
            0.257751286,
            0.257021725,
            0.256292164,
            0.255562633,
            0.254833072,
            0.254103512,
            0.253373951,
            0.25264442,
            0.251914859,
            0.251185298,
            0.250455737,
            0.249726191,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.247882217,
            0.24642311,
            0.244964018,
            0.243504912,
            0.24204582,
            0.240586713,
            0.239127621,
            0.237668514,
            0.236209422,
            0.234750316,
            0.233291224,
            0.231832117,
            0.230373025,
            0.228913933,
            0.227454826,
            0.225995719,
            0.224536628,
            0.223077536,
            0.221618444,
            0.220159337,
            0.218700245,
            0.217241153,
            0.215782061,
            0.214322954,
            0.212863863,
            0.211404771,
            0.209945679,
            0.208486587,
            0.20702748,
            0.205568388,
            0.204109296,
            0.202650204,
            0.201062799,
            0.19936052,
            0.197658241,
            0.195955947,
            0.194253653,
            0.192551374,
            0.190849096,
            0.189146802,
            0.187444523,
            0.185742229,
            0.18403995,
            0.182337657,
            0.180635378,
            0.178933084,
            0.177230805,
            0.175528511,
            0.17392388,
            0.172464788,
            0.171005681,
            0.169546589,
            0.168087482,
            0.166628391,
            0.165169299,
            0.163710192,
            0.162251085,
            0.160791993,
            0.159332901,
            0.157873794,
            0.156414688,
            0.154955596,
            0.153496504,
            0.152037397,
            0.15051128,
            0.148809001,
            0.147106722,
            0.145404428,
            0.143702149,
            0.141999871,
            0.140297592,
            0.138595298,
            0.136893019,
            0.13519074,
            0.133488461,
            0.131786168,
            0.130083889,
            0.12838161,
            0.126679331,
            0.124977045,
            0.123311147,
            0.121852048,
            0.120392948,
            0.118933849,
            0.11747475,
            0.11601565,
            0.114556551,
            0.113097452,
            0.111638352,
            0.110179253,
            0.108720154,
            0.107261054,
            0.105801955,
            0.104342856,
            0.102883756,
            0.101424657,
            0.0999827906,
            0.0992532372,
            0.0985236913,
            0.0977941453,
            0.0970645919,
            0.096335046,
            0.0956054926,
            0.0948759466,
            0.0941463932,
            0.0934168473,
            0.0926872939,
            0.0919577479,
            0.0912281945,
            0.0904986486,
            0.0897690952,
            0.0890395492,
            0.0883099958,
            0.0875804499,
            0.0868508965,
            0.0861213505,
            0.0853917971,
            0.0846622512,
            0.0839326978,
            0.0832031518,
            0.0824735984,
            0.0817440525,
            0.0810144991,
            0.0802849531,
            0.0795553997,
            0.0788258538,
            0.0780963004,
            0.0773667544,
            0.076637201,
            0.0751570389,
            0.07345476,
            0.0717524737,
            0.0700501949,
            0.0683479086,
            0.0666456297,
            0.0649433434,
            0.0632410645,
            0.061538782,
            0.0598364994,
            0.0581342168,
            0.0564319342,
            0.0547296554,
            0.0530273691,
            0.0513250902,
            0.0496228039,
            0.0485485867,
            0.047819037,
            0.0470894873,
            0.0463599376,
            0.045630388,
            0.0449008383,
            0.0441712886,
            0.0434417389,
            0.0427121893,
            0.0419826396,
            0.0412530899,
            0.0405235402,
            0.0397939906,
            0.0390644446,
            0.0383348912,
            0.0376053452,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0369677059,
            0.0362381563,
            0.0355086066,
            0.0347790569,
            0.0340495072,
            0.0333199576,
            0.0325904079,
            0.0318608582,
            0.0311313085,
            0.0304017588,
            0.0296722092,
            0.0289426595,
            0.0282131098,
            0.0274835601,
            0.0267540105,
            0.0260244608,
            0.0252949111,
            0.0245653614,
            0.0238358118,
            0.0231062621,
            0.0223767143,
            0.0216471646,
            0.0209176149,
            0.0201880652,
            0.0194585156,
            0.0187289659,
            0.0179994162,
            0.0172698665,
            0.0165403169,
            0.0158107672,
            0.0150812175,
            0.0143516678,
            0.0134842508,
            0.0117819682,
            0.0100796856,
            0.00837740302,
            0.00667512137,
            0.0049728388,
            0.00327055622,
            0.00156827457,
            -0.000134008005,
            -0.00183629058,
            -0.00353857316,
            -0.00524085574,
            -0.00694313832,
            -0.00864542089,
            -0.0103477016,
            -0.0120499842,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.015023713,
            -0.0164828114,
            -0.0179419108,
            -0.0194010101,
            -0.0208601095,
            -0.0223192088,
            -0.0237783082,
            -0.0252374075,
            -0.0266965069,
            -0.0281556062,
            -0.0296147056,
            -0.0310738049,
            -0.0325329006,
            -0.0339919999,
            -0.0354510993,
            -0.0369101986,
            -0.0383693017,
            -0.0398283973,
            -0.0412874967,
            -0.042746596,
            -0.0442056954,
            -0.0456647947,
            -0.0471238941,
            -0.0485829934,
            -0.0500420928,
            -0.0515011922,
            -0.0529602915,
            -0.0544193909,
            -0.0558784902,
            -0.0573375896,
            -0.0587966889,
            -0.0602557883,
            -0.0618699864,
            -0.0635722727,
            -0.0652745515,
            -0.0669768378,
            -0.0686791167,
            -0.070381403,
            -0.0720836818,
            -0.0737859607,
            -0.075488247,
            -0.0771905333,
            -0.0788928121,
            -0.080595091,
            -0.0822973773,
            -0.0839996561,
            -0.0857019424,
            -0.0874042213,
            -0.0886086524,
            -0.0893381983,
            -0.0900677517,
            -0.0907972977,
            -0.0915268511,
            -0.092256397,
            -0.0929859504,
            -0.0937154964,
            -0.0944450498,
            -0.0951745957,
            -0.0959041491,
            -0.0966336951,
            -0.0973632485,
            -0.0980927944,
            -0.0988223478,
            -0.0995518938,
            -0.10028144,
            -0.101010993,
            -0.101740539,
            -0.102470085,
            -0.103199631,
            -0.103929184,
            -0.10465873,
            -0.105388276,
            -0.106117822,
            -0.106847376,
            -0.107576922,
            -0.108306468,
            -0.109036013,
            -0.109765567,
            -0.110495113,
            -0.111224659,
            -0.111954205,
            -0.112683758,
            -0.113413312,
            -0.114142865,
            -0.114872411,
            -0.115601964,
            -0.116331518,
            -0.117061071,
            -0.117790617,
            -0.11852017,
            -0.119249724,
            -0.119979277,
            -0.120708823,
            -0.121438377,
            -0.12216793,
            -0.122897476,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123537034,
            -0.124509767,
            -0.1254825,
            -0.126455233,
            -0.127427965,
            -0.128400713,
            -0.129373446,
            -0.130346179,
            -0.131318912,
            -0.132291645,
            -0.133264378,
            -0.134237111,
            -0.135209844,
            -0.136182576,
            -0.137155324,
            -0.138128057,
            -0.13910079,
            -0.139859065,
            -0.140588611,
            -0.141318157,
            -0.142047703,
            -0.142777264,
            -0.14350681,
            -0.144236356,
            -0.144965902,
            -0.145695463,
            -0.146425009,
            -0.147154555,
            -0.147884101,
            -0.148613662,
            -0.149343207,
            -0.150072753,
            -0.150802299,
            -0.15153186,
            -0.152261406,
            -0.152990952,
            -0.153720498,
            -0.154450059,
            -0.155179605,
            -0.155909151,
            -0.156638697,
            -0.157368243,
            -0.158097804,
            -0.15882735,
            -0.159556895,
            -0.160286456,
            -0.161016002,
            -0.161745548,
            -0.162475094,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162561268,
            -0.161831722,
            -0.161102161,
            -0.160372615,
            -0.159643069,
            -0.158913523,
            -0.158183962,
            -0.157454416,
            -0.15672487,
            -0.155995324,
            -0.155265763,
            -0.154536217,
            -0.153806672,
            -0.153077126,
            -0.152347565,
            -0.151618019,
            -0.150888473,
            -0.150158927,
            -0.149429366,
            -0.14869982,
            -0.147970274,
            -0.147240728,
            -0.146511167,
            -0.145781621,
            -0.145052075,
            -0.144322529,
            -0.143592969,
            -0.142863423,
            -0.142133877,
            -0.141404331,
            -0.14067477,
            -0.139945224
          ],
          [
            -0.139215678,
            -0.139945224,
            -0.14067477,
            -0.141404331,
            -0.142133877,
            -0.142863423,
            -0.143592969,
            -0.144322529,
            -0.145052075,
            -0.145781621,
            -0.146511167,
            -0.147240728,
            -0.147970274,
            -0.14869982,
            -0.149429366,
            -0.150158927,
            -0.150888473,
            -0.151618019,
            -0.152347565,
            -0.153077126,
            -0.153806672,
            -0.154536217,
            -0.155265763,
            -0.155995324,
            -0.15672487,
            -0.157454416,
            -0.158183962,
            -0.158913523,
            -0.159643069,
            -0.160372615,
            -0.161102161,
            -0.161831722,
            -0.162561268,
            -0.163290814,
            -0.16402036,
            -0.16474992,
            -0.165479466,
            -0.166209012,
            -0.166938558,
            -0.167668119,
            -0.168397665,
            -0.169127211,
            -0.169856757,
            -0.170586318,
            -0.171315864,
            -0.17204541,
            -0.172774956,
            -0.173504502,
            -0.174234062,
            -0.174963608,
            -0.175693154,
            -0.1764227,
            -0.177152261,
            -0.177881807,
            -0.178611353,
            -0.179340899,
            -0.18007046,
            -0.180800006,
            -0.181529552,
            -0.182259098,
            -0.182988659,
            -0.183718204,
            -0.18444775,
            -0.185177296,
            -0.185906857,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186096415,
            -0.185366869,
            -0.184637323,
            -0.183907777,
            -0.183178216,
            -0.18244867,
            -0.181719124,
            -0.180989578,
            -0.180260018,
            -0.179530472,
            -0.178800926,
            -0.17807138,
            -0.177341819,
            -0.176612273,
            -0.175882727,
            -0.175153181,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.175233603,
            -0.175963148,
            -0.176692694,
            -0.17742224,
            -0.178151801,
            -0.178881347,
            -0.179610893,
            -0.180340439,
            -0.18107,
            -0.181799546,
            -0.182529092,
            -0.183258638,
            -0.183988199,
            -0.184717745,
            -0.185447291,
            -0.186176836,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186722562,
            -0.187452123,
            -0.188181669,
            -0.188911214,
            -0.18964076,
            -0.190370321,
            -0.191099867,
            -0.191829413,
            -0.192558959,
            -0.19328852,
            -0.194018066,
            -0.194747612,
            -0.195477158,
            -0.196206719,
            -0.196936265,
            -0.197665811,
            -0.198514074,
            -0.199486807,
            -0.20045954,
            -0.201432273,
            -0.202405006,
            -0.203377739,
            -0.204350471,
            -0.205323204,
            -0.206295937,
            -0.20726867,
            -0.208241403,
            -0.209214136,
            -0.210186869,
            -0.211159602,
            -0.212132335,
            -0.213105068,
            -0.21398972,
            -0.214719281,
            -0.215448827,
            -0.216178373,
            -0.216907918,
            -0.217637479,
            -0.218367025,
            -0.219096571,
            -0.219826117,
            -0.220555663,
            -0.221285224,
            -0.22201477,
            -0.222744316,
            -0.223473862,
            -0.224203423,
            -0.224932969,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.224772125,
            -0.22404258,
            -0.223313019,
            -0.222583473,
            -0.221853927,
            -0.221124381,
            -0.22039482,
            -0.219665274,
            -0.218935728,
            -0.218206182,
            -0.217476621,
            -0.216747075,
            -0.216017529,
            -0.215287983,
            -0.214558423,
            -0.213828877,
            -0.21289061,
            -0.211917877,
            -0.210945144,
            -0.209972411,
            -0.208999678,
            -0.208026946,
            -0.207054213,
            -0.20608148,
            -0.205108747,
            -0.204136014,
            -0.203163281,
            -0.202190548,
            -0.201217815,
            -0.200245082,
            -0.199272349,
            -0.198299617,
            -0.197504967,
            -0.196775422,
            -0.196045861,
            -0.195316315,
            -0.194586769,
            -0.193857223,
            -0.193127662,
            -0.192398116,
            -0.19166857,
            -0.190939024,
            -0.190209478,
            -0.189479917,
            -0.188750371,
            -0.188020825,
            -0.187291279,
            -0.186561719,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186624914,
            -0.18735446,
            -0.188084006,
            -0.188813567,
            -0.189543113,
            -0.190272659,
            -0.191002205,
            -0.191731766,
            -0.192461312,
            -0.193190858,
            -0.193920404,
            -0.194649965,
            -0.195379511,
            -0.196109056,
            -0.196838602,
            -0.197568148,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197964519,
            -0.197234973,
            -0.196505427,
            -0.195775881,
            -0.195046321,
            -0.194316775,
            -0.193587229,
            -0.192857683,
            -0.192128122,
            -0.191398576,
            -0.19066903,
            -0.189939484,
            -0.189209938,
            -0.188480377,
            -0.187750831,
            -0.187021285,
            -0.186291724,
            -0.185562178,
            -0.184832633,
            -0.184103087,
            -0.183373541,
            -0.18264398,
            -0.181914434,
            -0.181184888,
            -0.180455342,
            -0.179725781,
            -0.178996235,
            -0.178266689,
            -0.177537143,
            -0.176807582,
            -0.176078036,
            -0.17534849,
            -0.174618945,
            -0.173889384,
            -0.173159838,
            -0.172430292,
            -0.171700746,
            -0.170971185,
            -0.170241639,
            -0.169512093,
            -0.168782547,
            -0.168052986,
            -0.16732344,
            -0.166593894,
            -0.165864348,
            -0.165134788,
            -0.164405242,
            -0.163675696,
            -0.16294615,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162308514,
            -0.161578953,
            -0.160849407,
            -0.160119861,
            -0.159390315,
            -0.158660755,
            -0.157931209,
            -0.157201663,
            -0.156472117,
            -0.155742556,
            -0.15501301,
            -0.154283464,
            -0.153553918,
            -0.152824357,
            -0.152094811,
            -0.151365265,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.151233137,
            -0.151962698,
            -0.152692243,
            -0.153421789,
            -0.154151335,
            -0.154880881,
            -0.155610442,
            -0.156339988,
            -0.157069534,
            -0.15779908,
            -0.158528641,
            -0.159258187,
            -0.159987733,
            -0.160717279,
            -0.16144684,
            -0.162176386,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162607223,
            -0.161148116,
            -0.159689024,
            -0.158229917,
            -0.156770825,
            -0.155311719,
            -0.153852627,
            -0.15239352,
            -0.150934428,
            -0.149475321,
            -0.148016229,
            -0.146557122,
            -0.145098031,
            -0.143638939,
            -0.142179832,
            -0.140720725,
            -0.139261633,
            -0.137567014,
            -0.13586472,
            -0.134162441,
            -0.132460147,
            -0.130757868,
            -0.129055575,
            -0.127353296,
            -0.125651002,
            -0.123948716,
            -0.122246429,
            -0.12054415,
            -0.118841857,
            -0.117139578,
            -0.115437284,
            -0.113735005,
            -0.112032712,
            -0.110535324,
            -0.109076224,
            -0.107617125,
            -0.106158033,
            -0.104698934,
            -0.103239834,
            -0.101780735,
            -0.100321643,
            -0.0988625437,
            -0.0974034443,
            -0.095944345,
            -0.0944852531,
            -0.0930261537,
            -0.0915670544,
            -0.0901079625,
            -0.0886488631,
            -0.0870155171,
            -0.0853132308,
            -0.0836109519,
            -0.0819086656,
            -0.0802063867,
            -0.0785041004,
            -0.0768018216,
            -0.0750995353,
            -0.0733972564,
            -0.0716949701,
            -0.0699926913,
            -0.068290405,
            -0.0665881261,
            -0.0648858398,
            -0.063183561,
            -0.0614812784,
            -0.0599226058,
            -0.0584635064,
            -0.0570044108,
            -0.0555453114,
            -0.0540862121,
            -0.0526271127,
            -0.0511680134,
            -0.049708914,
            -0.0482498147,
            -0.0467907153,
            -0.045331616,
            -0.0438725166,
            -0.0424134172,
            -0.0409543179,
            -0.0394952185,
            -0.0380361192,
            -0.0369159468,
            -0.0361863971,
            -0.0354568474,
            -0.0347272977,
            -0.033997748,
            -0.0332681984,
            -0.0325386487,
            -0.031809099,
            -0.0310795493,
            -0.0303499997,
            -0.02962045,
            -0.0288909003,
            -0.0281613506,
            -0.027431801,
            -0.0267022513,
            -0.0259727016,
            -0.0252431519,
            -0.0245136023,
            -0.0237840526,
            -0.0230545029,
            -0.0223249532,
            -0.0215954036,
            -0.0208658539,
            -0.0201363042,
            -0.0194067545,
            -0.0186772048,
            -0.0179476552,
            -0.0172181055,
            -0.0164885558,
            -0.0157590061,
            -0.0150294574,
            -0.0142999077,
            -0.0135186585,
            -0.0125459256,
            -0.0115731927,
            -0.0106004598,
            -0.00962772686,
            -0.00865499396,
            -0.00768226152,
            -0.00670952862,
            -0.00573679619,
            -0.00476406328,
            -0.00379133038,
            -0.00281859748,
            -0.00184586458,
            -0.000873131678,
            9.96012241e-5,
            0.00107233413,
            0.00208719261,
            0.00354629196,
            0.00500539131,
            0.0064644902,
            0.00792359002,
            0.00938268844,
            0.0108417878,
            0.0123008871,
            0.0137599865,
            0.0152190849,
            0.0166781843,
            0.0181372836,
            0.019596383,
            0.0210554823,
            0.0225145817,
            0.023973681,
            0.0254327804,
            0.0268918779,
            0.0283509772,
            0.0298100766,
            0.0312691778,
            0.0327282771,
            0.0341873765,
            0.0356464759,
            0.0371055752,
            0.0385646708,
            0.0400237702,
            0.0414828695,
            0.0429419689,
            0.0444010682,
            0.0458601676,
            0.0473192669,
            0.0487783663,
            0.0496285483,
            0.050358098,
            0.0510876477,
            0.0518171974,
            0.052546747,
            0.0532762967,
            0.0540058464,
            0.0547353961,
            0.0554649457,
            0.0561944954,
            0.0569240451,
            0.0576535948,
            0.0583831444,
            0.0591126941,
            0.0598422438,
            0.0605717935,
            0.061990682,
            0.0636929646,
            0.0653952435,
            0.0670975298,
            0.0687998086,
            0.0705020949,
            0.0722043738,
            0.0739066601,
            0.0756089389,
            0.0773112252,
            0.0790135041,
            0.0807157904,
            0.0824180692,
            0.0841203481,
            0.0858226344,
            0.0875249207,
            0.0890855044,
            0.0905446038,
            0.0920037031,
            0.0934628025,
            0.0949219018,
            0.0963810012,
            0.0978401005,
            0.0992991999,
            0.100758299,
            0.102217391,
            0.103676498,
            0.10513559,
            0.106594697,
            0.108053789,
            0.109512895,
            0.110971987,
            0.112542152,
            0.114244431,
            0.11594671,
            0.117648996,
            0.119351283,
            0.121053562,
            0.12275584,
            0.124458127,
            0.126160413,
            0.127862692,
            0.129564971,
            0.13126725,
            0.132969543,
            0.134671822,
            0.136374101,
            0.13807638,
            0.139456972,
            0.140186518,
            0.140916079,
            0.141645625,
            0.142375171,
            0.143104717,
            0.143834278,
            0.144563824,
            0.14529337,
            0.146022916,
            0.146752477,
            0.147482023,
            0.148211569,
            0.148941115,
            0.149670675,
            0.150400221,
            0.151129767,
            0.151859328,
            0.152588874,
            0.153318435,
            0.154047981,
            0.154777542,
            0.155507088,
            0.156236649,
            0.156966195,
            0.157695755,
            0.158425301,
            0.159154862,
            0.159884408,
            0.160613969,
            0.161343515,
            0.162073076,
            0.162802622,
            0.163532168,
            0.164261714,
            0.16499126,
            0.165720806,
            0.166450351,
            0.167179897,
            0.167909443,
            0.168638989,
            0.169368535,
            0.170098081,
            0.170827627,
            0.171557173,
            0.172286719,
            0.173016265,
            0.173745811,
            0.174475357,
            0.175204903,
            0.175934449,
            0.17666401,
            0.177393556,
            0.178123102,
            0.178852648,
            0.179582208,
            0.180311754,
            0.1810413,
            0.181770846,
            0.182500407,
            0.183229953,
            0.183959499,
            0.184689045,
            0.185418606,
            0.186148152,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186833665,
            0.187806398,
            0.188779131,
            0.189751863,
            0.190724611,
            0.191697344,
            0.192670077,
            0.19364281,
            0.194615558,
            0.195588291,
            0.196561024,
            0.197533756,
            0.198506504,
            0.199479237,
            0.20045197,
            0.201424703,
            0.2022883,
            0.203017846,
            0.203747392,
            0.204476938,
            0.205206484,
            0.20593603,
            0.206665576,
            0.207395121,
            0.208124667,
            0.208854213,
            0.209583759,
            0.210313305,
            0.211042851,
            0.211772397,
            0.212501943,
            0.213231489,
            0.213961035,
            0.214690581,
            0.215420127,
            0.216149673,
            0.216879234,
            0.21760878,
            0.218338326,
            0.219067872,
            0.219797432,
            0.220526978,
            0.221256524,
            0.22198607,
            0.222715631,
            0.223445177,
            0.224174723,
            0.224904269,
            0.22563383,
            0.226363376,
            0.227092922,
            0.227822468,
            0.228552029,
            0.229281574,
            0.23001112,
            0.230740666,
            0.231470227,
            0.232199773,
            0.232929319,
            0.233658865,
            0.234388426,
            0.235117972,
            0.235847518,
            0.236577064,
            0.237306625,
            0.238036171,
            0.238765717,
            0.239495263,
            0.240224823,
            0.240954369,
            0.241683915,
            0.242413461,
            0.243143022,
            0.243872568,
            0.244602114,
            0.24533166,
            0.246061206,
            0.246790767,
            0.247520313,
            0.248249859,
            0.248979405,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249525145,
            0.250254691,
            0.250984251,
            0.251713812,
            0.252443343,
            0.253172904,
            0.253902465,
            0.254632026,
            0.255361557,
            0.256091118,
            0.256820679,
            0.25755024,
            0.258279771,
            0.259009331,
            0.259738892,
            0.260468453,
            0.26133585,
            0.262308598,
            0.263281345,
            0.264254063,
            0.265226811,
            0.266199529,
            0.267172277,
            0.268145025,
            0.269117743,
            0.270090491,
            0.271063238,
            0.272035956,
            0.273008704,
            0.273981422,
            0.27495417,
            0.275926918,
            0.277114093,
            0.278573185,
            0.280032307,
            0.281491399,
            0.282950491,
            0.284409583,
            0.285868675,
            0.287327766,
            0.288786858,
            0.29024595,
            0.291705042,
            0.293164164,
            0.294623256,
            0.296082348,
            0.29754144,
            0.299000531,
            0.300229847,
            0.300959408,
            0.301688939,
            0.3024185,
            0.303148061,
            0.303877592,
            0.304607153,
            0.305336684,
            0.306066245,
            0.306795806,
            0.307525337,
            0.308254898,
            0.308984458,
            0.309713989,
            0.31044355,
            0.311173081,
            0.311902642,
            0.312632203,
            0.313361734,
            0.314091295,
            0.314820856,
            0.315550387,
            0.316279948,
            0.317009479,
            0.31773904,
            0.318468601,
            0.319198132,
            0.319927692,
            0.320657253,
            0.321386784,
            0.322116345,
            0.322845876,
            0.323483527,
            0.322753966,
            0.322024435,
            0.321294874,
            0.320565313,
            0.319835782,
            0.319106221,
            0.31837669,
            0.317647129,
            0.316917568,
            0.316188037,
            0.315458477,
            0.314728916,
            0.313999385,
            0.313269824,
            0.312540293,
            0.311810732,
            0.311081171,
            0.31035164,
            0.309622079,
            0.308892548,
            0.308162987,
            0.307433426,
            0.306703895,
            0.305974334,
            0.305244774,
            0.304515243,
            0.303785682,
            0.303056151,
            0.30232659,
            0.301597029,
            0.300867498,
            0.300137937,
            0.298816711,
            0.297357619,
            0.295898527,
            0.294439435,
            0.292980343,
            0.291521221,
            0.290062129,
            0.288603038,
            0.287143946,
            0.285684854,
            0.284225762,
            0.28276667,
            0.281307578,
            0.279848456,
            0.278389364,
            0.276930273,
            0.275804371,
            0.274831623,
            0.273858875,
            0.272886157,
            0.271913409,
            0.270940661,
            0.269967943,
            0.268995196,
            0.268022478,
            0.26704973,
            0.266076982,
            0.265104264,
            0.264131516,
            0.263158798,
            0.26218605,
            0.261213303,
            0.260376513,
            0.259646982,
            0.258917421,
            0.25818786,
            0.257458299,
            0.256728768,
            0.255999207,
            0.255269647,
            0.254540086,
            0.253810555,
            0.253080994,
            0.252351433,
            0.251621902,
            0.250892341,
            0.25016278,
            0.249433234,
            0.248703673,
            0.247974128,
            0.247244582,
            0.246515021,
            0.245785475,
            0.245055929,
            0.244326383,
            0.243596822,
            0.242867276,
            0.24213773,
            0.241408184,
            0.240678638,
            0.239949077,
            0.239219531,
            0.238489985,
            0.237760425,
            0.237030879,
            0.236301333,
            0.235571787,
            0.234842241,
            0.23411268,
            0.233383134,
            0.232653588,
            0.231924042,
            0.231194481,
            0.230464935,
            0.229735389,
            0.229005843,
            0.228276283,
            0.227546737,
            0.226817191,
            0.226087645,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.226168066,
            0.226897612,
            0.227627158,
            0.228356704,
            0.229086265,
            0.229815811,
            0.230545357,
            0.231274903,
            0.232004464,
            0.23273401,
            0.233463556,
            0.234193102,
            0.234922662,
            0.235652208,
            0.236381754,
            0.2371113,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237657025,
            0.238386586,
            0.239116132,
            0.239845678,
            0.240575224,
            0.241304785,
            0.242034331,
            0.242763877,
            0.243493423,
            0.244222984,
            0.24495253,
            0.245682076,
            0.246411622,
            0.247141182,
            0.247870728,
            0.248600274,
            0.24932982,
            0.250059366,
            0.250788927,
            0.251518488,
            0.252248049,
            0.25297758,
            0.253707141,
            0.254436702,
            0.255166262,
            0.255895793,
            0.256625354,
            0.257354915,
            0.258084476,
            0.258814007,
            0.259543568,
            0.260273129,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260296106,
            0.259566545,
            0.258836985,
            0.258107454,
            0.257377893,
            0.256648332,
            0.255918771,
            0.25518924,
            0.254459679,
            0.253730118,
            0.253000557,
            0.252271026,
            0.251541466,
            0.250811905,
            0.250082344,
            0.249352798,
            0.248623252,
            0.247893706,
            0.24716416,
            0.246434599,
            0.245705053,
            0.244975507,
            0.244245961,
            0.2435164,
            0.242786855,
            0.242057309,
            0.241327763,
            0.240598202,
            0.239868656,
            0.23913911,
            0.238409564,
            0.237680003,
            0.236950457,
            0.236220911,
            0.235491365,
            0.234761804,
            0.234032258,
            0.233302712,
            0.232573166,
            0.231843606,
            0.23111406,
            0.230384514,
            0.229654968,
            0.228925407,
            0.228195861,
            0.227466315,
            0.226736769,
            0.226007223,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225518942,
            0.226248488,
            0.226978034,
            0.22770758,
            0.228437126,
            0.229166687,
            0.229896232,
            0.230625778,
            0.231355324,
            0.232084885,
            0.232814431,
            0.233543977,
            0.234273523,
            0.235003084,
            0.23573263,
            0.236462176,
            0.237191722,
            0.237921283,
            0.238650829,
            0.239380375,
            0.240109921,
            0.240839481,
            0.241569027,
            0.242298573,
            0.243028119,
            0.24375768,
            0.244487226,
            0.245216772,
            0.245946318,
            0.246675879,
            0.247405425,
            0.248134971,
            0.248864517,
            0.249594077,
            0.250323623,
            0.251053184,
            0.251782745,
            0.252512276,
            0.253241837,
            0.253971398,
            0.254700959,
            0.25543049,
            0.256160051,
            0.256889611,
            0.257619172,
            0.258348703,
            0.259078264,
            0.259807825,
            0.260537386,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260577589,
            0.259848028,
            0.259118468,
            0.258388937,
            0.257659376,
            0.256929815,
            0.256200254,
            0.255470723,
            0.254741162,
            0.254011601,
            0.25328204,
            0.252552509,
            0.251822948,
            0.251093388,
            0.250363827,
            0.249634281,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.247882217,
            0.24642311,
            0.244964018,
            0.243504912,
            0.24204582,
            0.240586713,
            0.239127621,
            0.237668514,
            0.236209422,
            0.234750316,
            0.233291224,
            0.231832117,
            0.230373025,
            0.228913933,
            0.227454826,
            0.225995719,
            0.224536628,
            0.223077536,
            0.221618444,
            0.220159337,
            0.218700245,
            0.217241153,
            0.215782061,
            0.214322954,
            0.212863863,
            0.211404771,
            0.209945679,
            0.208486587,
            0.20702748,
            0.205568388,
            0.204109296,
            0.202650204,
            0.201062799,
            0.19936052,
            0.197658241,
            0.195955947,
            0.194253653,
            0.192551374,
            0.190849096,
            0.189146802,
            0.187444523,
            0.185742229,
            0.18403995,
            0.182337657,
            0.180635378,
            0.178933084,
            0.177230805,
            0.175528511,
            0.174216852,
            0.173487306,
            0.17275776,
            0.172028214,
            0.171298668,
            0.170569122,
            0.169839576,
            0.16911003,
            0.168380484,
            0.167650938,
            0.166921392,
            0.166191846,
            0.1654623,
            0.164732754,
            0.164003208,
            0.163273662,
            0.16234307,
            0.160883963,
            0.159424856,
            0.15796575,
            0.156506658,
            0.155047551,
            0.153588444,
            0.152129337,
            0.150670245,
            0.149211138,
            0.147752032,
            0.146292925,
            0.144833833,
            0.143374726,
            0.141915619,
            0.140456527,
            0.138961032,
            0.137258753,
            0.135556474,
            0.133854195,
            0.132151902,
            0.130449623,
            0.128747344,
            0.127045065,
            0.125342771,
            0.123640493,
            0.121938214,
            0.120235927,
            0.118533649,
            0.116831362,
            0.115129083,
            0.113426805,
            0.111730263,
            0.110271163,
            0.108812064,
            0.107352965,
            0.105893865,
            0.104434766,
            0.102975667,
            0.101516567,
            0.100057468,
            0.0985983685,
            0.0971392691,
            0.0956801698,
            0.0942210704,
            0.0927619711,
            0.0913028717,
            0.0898437724,
            0.088384673,
            0.0875804499,
            0.0868508965,
            0.0861213505,
            0.0853917971,
            0.0846622512,
            0.0839326978,
            0.0832031518,
            0.0824735984,
            0.0817440525,
            0.0810144991,
            0.0802849531,
            0.0795553997,
            0.0788258538,
            0.0780963004,
            0.0773667544,
            0.076637201,
            0.0757199973,
            0.0747472644,
            0.0737745315,
            0.0728017986,
            0.0718290657,
            0.0708563402,
            0.0698836073,
            0.0689108744,
            0.0679381415,
            0.0669654086,
            0.0659926757,
            0.0650199428,
            0.0640472099,
            0.063074477,
            0.0621017441,
            0.0611290112,
            0.0603132918,
            0.0595837422,
            0.0588541925,
            0.0581246428,
            0.0573950931,
            0.0566655435,
            0.0559359938,
            0.0552064441,
            0.0544768944,
            0.0537473448,
            0.0530177951,
            0.0522882454,
            0.0515586957,
            0.0508291498,
            0.0500995964,
            0.0493700504,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0487324111,
            0.0480028614,
            0.0472733118,
            0.0465437621,
            0.0458142124,
            0.0450846627,
            0.0443551131,
            0.0436255634,
            0.0428960137,
            0.042166464,
            0.0414369144,
            0.0407073647,
            0.039977815,
            0.0392482653,
            0.0385187156,
            0.037789166,
            0.0370596163,
            0.0363300666,
            0.0356005169,
            0.0348709673,
            0.0341414176,
            0.0334118679,
            0.0326823182,
            0.0319527686,
            0.0312232208,
            0.0304936711,
            0.0297641214,
            0.0290345717,
            0.028305022,
            0.0275754724,
            0.0268459227,
            0.026116373,
            0.0252834223,
            0.023824323,
            0.0223652236,
            0.0209061243,
            0.0194470268,
            0.0179879274,
            0.0165288281,
            0.0150697287,
            0.0136106294,
            0.01215153,
            0.0106924307,
            0.00923333131,
            0.00777423196,
            0.00631513447,
            0.00485603511,
            0.00339693576,
            0.00194549537,
            0.000972762587,
            2.98023224e-8,
            -0.000972703099,
            -0.00194543577,
            -0.00291816844,
            -0.00389090134,
            -0.00486363424,
            -0.00583636668,
            -0.00680909958,
            -0.00778183248,
            -0.00875456538,
            -0.00972729828,
            -0.0107000312,
            -0.0116727632,
            -0.0126454961,
            -0.013618229,
            -0.015023713,
            -0.0164828114,
            -0.0179419108,
            -0.0194010101,
            -0.0208601095,
            -0.0223192088,
            -0.0237783082,
            -0.0252374075,
            -0.0266965069,
            -0.0281556062,
            -0.0296147056,
            -0.0310738049,
            -0.0325329006,
            -0.0339919999,
            -0.0354510993,
            -0.0369101986,
            -0.0383693017,
            -0.0398283973,
            -0.0412874967,
            -0.042746596,
            -0.0442056954,
            -0.0456647947,
            -0.0471238941,
            -0.0485829934,
            -0.0500420928,
            -0.0515011922,
            -0.0529602915,
            -0.0544193909,
            -0.0558784902,
            -0.0573375896,
            -0.0587966889,
            -0.0602557883,
            -0.0618699864,
            -0.0635722727,
            -0.0652745515,
            -0.0669768378,
            -0.0686791167,
            -0.070381403,
            -0.0720836818,
            -0.0737859607,
            -0.075488247,
            -0.0771905333,
            -0.0788928121,
            -0.080595091,
            -0.0822973773,
            -0.0839996561,
            -0.0857019424,
            -0.0874042213,
            -0.0886086524,
            -0.0893381983,
            -0.0900677517,
            -0.0907972977,
            -0.0915268511,
            -0.092256397,
            -0.0929859504,
            -0.0937154964,
            -0.0944450498,
            -0.0951745957,
            -0.0959041491,
            -0.0966336951,
            -0.0973632485,
            -0.0980927944,
            -0.0988223478,
            -0.0995518938,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100189529,
            -0.100919083,
            -0.101648629,
            -0.102378175,
            -0.103107721,
            -0.103837274,
            -0.10456682,
            -0.105296366,
            -0.106025912,
            -0.106755465,
            -0.107485011,
            -0.108214557,
            -0.108944103,
            -0.109673649,
            -0.110403202,
            -0.111132748,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.112408027,
            -0.113137573,
            -0.113867126,
            -0.11459668,
            -0.115326226,
            -0.116055779,
            -0.116785333,
            -0.117514886,
            -0.118244432,
            -0.118973985,
            -0.119703539,
            -0.120433092,
            -0.121162638,
            -0.121892191,
            -0.122621745,
            -0.123351298,
            -0.124264672,
            -0.125237405,
            -0.126210138,
            -0.127182871,
            -0.128155604,
            -0.129128337,
            -0.130101085,
            -0.131073818,
            -0.132046551,
            -0.133019283,
            -0.133992016,
            -0.134964749,
            -0.135937482,
            -0.136910215,
            -0.137882948,
            -0.138855696,
            -0.13967523,
            -0.140404791,
            -0.141134337,
            -0.141863883,
            -0.142593428,
            -0.143322989,
            -0.144052535,
            -0.144782081,
            -0.145511627,
            -0.146241188,
            -0.146970734,
            -0.14770028,
            -0.148429826,
            -0.149159387,
            -0.149888933,
            -0.150618479,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150796562,
            -0.150067016,
            -0.149337456,
            -0.14860791,
            -0.147878364,
            -0.147148818,
            -0.146419257,
            -0.145689711,
            -0.144960165,
            -0.144230619,
            -0.143501058,
            -0.142771512,
            -0.142041966,
            -0.14131242,
            -0.14058286,
            -0.139853314,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678
          ],
          [
            -0.139215678,
            -0.139945224,
            -0.14067477,
            -0.141404331,
            -0.142133877,
            -0.142863423,
            -0.143592969,
            -0.144322529,
            -0.145052075,
            -0.145781621,
            -0.146511167,
            -0.147240728,
            -0.147970274,
            -0.14869982,
            -0.149429366,
            -0.150158927,
            -0.150888473,
            -0.151618019,
            -0.152347565,
            -0.153077126,
            -0.153806672,
            -0.154536217,
            -0.155265763,
            -0.155995324,
            -0.15672487,
            -0.157454416,
            -0.158183962,
            -0.158913523,
            -0.159643069,
            -0.160372615,
            -0.161102161,
            -0.161831722,
            -0.162561268,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.163198903,
            -0.163928449,
            -0.164657995,
            -0.165387556,
            -0.166117102,
            -0.166846648,
            -0.167576194,
            -0.168305755,
            -0.169035301,
            -0.169764847,
            -0.170494393,
            -0.171223953,
            -0.171953499,
            -0.172683045,
            -0.173412591,
            -0.174142152,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.17433171,
            -0.173602164,
            -0.172872618,
            -0.172143072,
            -0.171413511,
            -0.170683965,
            -0.169954419,
            -0.169224873,
            -0.168495312,
            -0.167765766,
            -0.16703622,
            -0.166306674,
            -0.165577114,
            -0.164847568,
            -0.164118022,
            -0.163388476,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.163468897,
            -0.164198443,
            -0.164927989,
            -0.165657535,
            -0.166387096,
            -0.167116642,
            -0.167846188,
            -0.168575734,
            -0.169305295,
            -0.170034841,
            -0.170764387,
            -0.171493933,
            -0.172223493,
            -0.172953039,
            -0.173682585,
            -0.174412131,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174865946,
            -0.175595507,
            -0.176325053,
            -0.177054599,
            -0.177784145,
            -0.178513706,
            -0.179243252,
            -0.179972798,
            -0.180702344,
            -0.181431904,
            -0.18216145,
            -0.182890996,
            -0.183620542,
            -0.184350103,
            -0.185079649,
            -0.185809195,
            -0.186538741,
            -0.187268302,
            -0.187997848,
            -0.188727394,
            -0.18945694,
            -0.190186501,
            -0.190916047,
            -0.191645592,
            -0.192375138,
            -0.193104684,
            -0.193834245,
            -0.194563791,
            -0.195293337,
            -0.196022883,
            -0.196752444,
            -0.19748199,
            -0.19826898,
            -0.199241713,
            -0.200214446,
            -0.201187178,
            -0.202159911,
            -0.203132644,
            -0.204105377,
            -0.20507811,
            -0.206050843,
            -0.207023576,
            -0.207996309,
            -0.208969042,
            -0.209941775,
            -0.210914508,
            -0.21188724,
            -0.212859973,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.21289061,
            -0.211917877,
            -0.210945144,
            -0.209972411,
            -0.208999678,
            -0.208026946,
            -0.207054213,
            -0.20608148,
            -0.205108747,
            -0.204136014,
            -0.203163281,
            -0.202190548,
            -0.201217815,
            -0.200245082,
            -0.199272349,
            -0.198299617,
            -0.197504967,
            -0.196775422,
            -0.196045861,
            -0.195316315,
            -0.194586769,
            -0.193857223,
            -0.193127662,
            -0.192398116,
            -0.19166857,
            -0.190939024,
            -0.190209478,
            -0.189479917,
            -0.188750371,
            -0.188020825,
            -0.187291279,
            -0.186561719,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186349183,
            -0.187078729,
            -0.187808275,
            -0.188537821,
            -0.189267382,
            -0.189996928,
            -0.190726474,
            -0.19145602,
            -0.192185581,
            -0.192915127,
            -0.193644673,
            -0.194374219,
            -0.195103765,
            -0.195833325,
            -0.196562871,
            -0.197292417,
            -0.198021978,
            -0.197326884,
            -0.196597338,
            -0.195867792,
            -0.195138246,
            -0.194408685,
            -0.193679139,
            -0.192949593,
            -0.192220047,
            -0.191490486,
            -0.19076094,
            -0.190031394,
            -0.189301848,
            -0.188572288,
            -0.187842742,
            -0.187113196,
            -0.18638365,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.185745999,
            -0.185016453,
            -0.184286907,
            -0.183557361,
            -0.182827801,
            -0.182098255,
            -0.181368709,
            -0.180639163,
            -0.179909617,
            -0.179180056,
            -0.17845051,
            -0.177720964,
            -0.176991403,
            -0.176261857,
            -0.175532311,
            -0.174802765,
            -0.174073219,
            -0.173343658,
            -0.172614112,
            -0.171884567,
            -0.171155021,
            -0.17042546,
            -0.169695914,
            -0.168966368,
            -0.168236822,
            -0.167507261,
            -0.166777715,
            -0.166048169,
            -0.165318623,
            -0.164589062,
            -0.163859516,
            -0.16312997,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162997842,
            -0.163727403,
            -0.164456949,
            -0.165186495,
            -0.165916041,
            -0.166645586,
            -0.167375147,
            -0.168104693,
            -0.168834239,
            -0.169563785,
            -0.170293346,
            -0.171022892,
            -0.171752438,
            -0.172481984,
            -0.173211545,
            -0.173941091,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174440861,
            -0.173711315,
            -0.172981754,
            -0.172252208,
            -0.171522662,
            -0.170793116,
            -0.170063555,
            -0.169334009,
            -0.168604463,
            -0.167874917,
            -0.167145371,
            -0.166415811,
            -0.165686265,
            -0.164956719,
            -0.164227158,
            -0.163497612,
            -0.162768066,
            -0.160389841,
            -0.157958016,
            -0.155526176,
            -0.153094351,
            -0.150662512,
            -0.148230672,
            -0.145798847,
            -0.143367007,
            -0.140935183,
            -0.138503343,
            -0.136071503,
            -0.133639678,
            -0.131207839,
            -0.128776014,
            -0.126344174,
            -0.123912342,
            -0.121685393,
            -0.119496748,
            -0.117308095,
            -0.11511945,
            -0.112930797,
            -0.110742152,
            -0.108553499,
            -0.106364854,
            -0.104176208,
            -0.101987556,
            -0.0997989029,
            -0.0976102576,
            -0.0954216123,
            -0.0932329595,
            -0.0910443068,
            -0.0888556689,
            -0.0870155171,
            -0.0853132308,
            -0.0836109519,
            -0.0819086656,
            -0.0802063867,
            -0.0785041004,
            -0.0768018216,
            -0.0750995353,
            -0.0733972564,
            -0.0716949701,
            -0.0699926913,
            -0.068290405,
            -0.0665881261,
            -0.0648858398,
            -0.063183561,
            -0.0614812784,
            -0.0599226058,
            -0.0584635064,
            -0.0570044108,
            -0.0555453114,
            -0.0540862121,
            -0.0526271127,
            -0.0511680134,
            -0.049708914,
            -0.0482498147,
            -0.0467907153,
            -0.045331616,
            -0.0438725166,
            -0.0424134172,
            -0.0409543179,
            -0.0394952185,
            -0.0380361192,
            -0.0369159468,
            -0.0361863971,
            -0.0354568474,
            -0.0347272977,
            -0.033997748,
            -0.0332681984,
            -0.0325386487,
            -0.031809099,
            -0.0310795493,
            -0.0303499997,
            -0.02962045,
            -0.0288909003,
            -0.0281613506,
            -0.027431801,
            -0.0267022513,
            -0.0259727016,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0253350642,
            -0.0246055145,
            -0.0238759648,
            -0.0231464151,
            -0.0224168655,
            -0.0216873158,
            -0.0209577661,
            -0.0202282164,
            -0.0194986667,
            -0.0187691171,
            -0.0180395674,
            -0.0173100177,
            -0.0165804699,
            -0.0158509202,
            -0.0151213696,
            -0.0143918199,
            -0.0135780182,
            -0.0118757356,
            -0.010173453,
            -0.00847117044,
            -0.00676888833,
            -0.00506660622,
            -0.00336432364,
            -0.00166204106,
            4.02415171e-5,
            0.00174252316,
            0.00344480574,
            0.00514708832,
            0.0068493709,
            0.00855165347,
            0.0102539361,
            0.0119562186,
            0.0136584993,
            0.0151271736,
            0.016586272,
            0.0180453714,
            0.0195044708,
            0.0209635701,
            0.0224226695,
            0.0238817688,
            0.0253408682,
            0.0267999656,
            0.028259065,
            0.0297181644,
            0.0311772637,
            0.0326363631,
            0.0340954624,
            0.0355545618,
            0.0370136611,
            0.0378638431,
            0.0385933928,
            0.0393229425,
            0.0400524922,
            0.0407820418,
            0.0415115915,
            0.0422411412,
            0.0429706909,
            0.0437002406,
            0.0444297902,
            0.0451593399,
            0.0458888896,
            0.0466184393,
            0.0473479889,
            0.0480775386,
            0.0488070883,
            0.0502259769,
            0.0519282594,
            0.053630542,
            0.0553328246,
            0.0570351072,
            0.0587373897,
            0.0604396686,
            0.0621419549,
            0.0638442338,
            0.0655465201,
            0.0672487989,
            0.0689510852,
            0.0706533641,
            0.0723556429,
            0.0740579292,
            0.0757602155,
            0.0777458921,
            0.0799345374,
            0.0821231902,
            0.0843118355,
            0.0865004808,
            0.0886891335,
            0.0908777788,
            0.0930664316,
            0.0952550769,
            0.0974437296,
            0.0996323749,
            0.101821028,
            0.104009673,
            0.106198326,
            0.108386971,
            0.110575616,
            0.112542152,
            0.114244431,
            0.11594671,
            0.117648996,
            0.119351283,
            0.121053562,
            0.12275584,
            0.124458127,
            0.126160413,
            0.127862692,
            0.129564971,
            0.13126725,
            0.132969543,
            0.134671822,
            0.136374101,
            0.13807638,
            0.139456972,
            0.140186518,
            0.140916079,
            0.141645625,
            0.142375171,
            0.143104717,
            0.143834278,
            0.144563824,
            0.14529337,
            0.146022916,
            0.146752477,
            0.147482023,
            0.148211569,
            0.148941115,
            0.149670675,
            0.150400221,
            0.151129767,
            0.151859328,
            0.152588874,
            0.153318435,
            0.154047981,
            0.154777542,
            0.155507088,
            0.156236649,
            0.156966195,
            0.157695755,
            0.158425301,
            0.159154862,
            0.159884408,
            0.160613969,
            0.161343515,
            0.162073076,
            0.162802622,
            0.163532168,
            0.164261714,
            0.16499126,
            0.165720806,
            0.166450351,
            0.167179897,
            0.167909443,
            0.168638989,
            0.169368535,
            0.170098081,
            0.170827627,
            0.171557173,
            0.172286719,
            0.173016265,
            0.173745811,
            0.174475357,
            0.175204903,
            0.175934449,
            0.17666401,
            0.177393556,
            0.178123102,
            0.178852648,
            0.179582208,
            0.180311754,
            0.1810413,
            0.181770846,
            0.182500407,
            0.183229953,
            0.183959499,
            0.184689045,
            0.185418606,
            0.186148152,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.18576327,
            0.185033724,
            0.184304163,
            0.183574617,
            0.182845071,
            0.182115525,
            0.181385964,
            0.180656418,
            0.179926872,
            0.179197326,
            0.17846778,
            0.177738219,
            0.177008674,
            0.176279128,
            0.175549582,
            0.174820021,
            0.175488308,
            0.177190587,
            0.178892881,
            0.18059516,
            0.182297453,
            0.183999732,
            0.185702026,
            0.187404305,
            0.189106584,
            0.190808877,
            0.192511171,
            0.19421345,
            0.195915729,
            0.197618023,
            0.199320301,
            0.201022595,
            0.2022883,
            0.203017846,
            0.203747392,
            0.204476938,
            0.205206484,
            0.20593603,
            0.206665576,
            0.207395121,
            0.208124667,
            0.208854213,
            0.209583759,
            0.210313305,
            0.211042851,
            0.211772397,
            0.212501943,
            0.213231489,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213869125,
            0.214598671,
            0.215328217,
            0.216057763,
            0.216787323,
            0.217516869,
            0.218246415,
            0.218975961,
            0.219705522,
            0.220435068,
            0.221164614,
            0.22189416,
            0.222623721,
            0.223353267,
            0.224082813,
            0.224812359,
            0.225541919,
            0.226271465,
            0.227001011,
            0.227730557,
            0.228460118,
            0.229189664,
            0.22991921,
            0.230648756,
            0.231378317,
            0.232107863,
            0.232837409,
            0.233566955,
            0.234296501,
            0.235026062,
            0.235755607,
            0.236485153,
            0.237214699,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.23785235,
            0.238581896,
            0.239311442,
            0.240040988,
            0.240770549,
            0.241500095,
            0.24222964,
            0.242959186,
            0.243688747,
            0.244418293,
            0.245147839,
            0.245877385,
            0.246606946,
            0.247336492,
            0.248066038,
            0.248795584,
            0.250199169,
            0.251901448,
            0.253603756,
            0.255306035,
            0.257008314,
            0.258710623,
            0.260412902,
            0.26211518,
            0.263817489,
            0.265519768,
            0.267222047,
            0.268924356,
            0.270626634,
            0.272328943,
            0.274031222,
            0.275733501,
            0.276884317,
            0.277613878,
            0.278343409,
            0.27907297,
            0.279802501,
            0.280532062,
            0.281261593,
            0.281991154,
            0.282720685,
            0.283450246,
            0.284179777,
            0.284909338,
            0.285638869,
            0.28636843,
            0.287097961,
            0.287827522,
            0.288557053,
            0.289286613,
            0.290016145,
            0.290745705,
            0.291475266,
            0.292204797,
            0.292934358,
            0.293663919,
            0.29439345,
            0.295123011,
            0.295852542,
            0.296582103,
            0.297311664,
            0.298041195,
            0.298770756,
            0.299500287,
            0.300229847,
            0.300959408,
            0.301688939,
            0.3024185,
            0.303148061,
            0.303877592,
            0.304607153,
            0.305336684,
            0.306066245,
            0.306795806,
            0.307525337,
            0.308254898,
            0.308984458,
            0.309713989,
            0.31044355,
            0.311173081,
            0.311902642,
            0.312632203,
            0.313361734,
            0.314091295,
            0.314820856,
            0.315550387,
            0.316279948,
            0.317009479,
            0.31773904,
            0.318468601,
            0.319198132,
            0.319927692,
            0.320657253,
            0.321386784,
            0.322116345,
            0.322845876,
            0.323483527,
            0.322753966,
            0.322024435,
            0.321294874,
            0.320565313,
            0.319835782,
            0.319106221,
            0.31837669,
            0.317647129,
            0.316917568,
            0.316188037,
            0.315458477,
            0.314728916,
            0.313999385,
            0.313269824,
            0.312540293,
            0.311810732,
            0.311081171,
            0.31035164,
            0.309622079,
            0.308892548,
            0.308162987,
            0.307433426,
            0.306703895,
            0.305974334,
            0.305244774,
            0.304515243,
            0.303785682,
            0.303056151,
            0.30232659,
            0.301597029,
            0.300867498,
            0.300137937,
            0.298816711,
            0.297357619,
            0.295898527,
            0.294439435,
            0.292980343,
            0.291521221,
            0.290062129,
            0.288603038,
            0.287143946,
            0.285684854,
            0.284225762,
            0.28276667,
            0.281307578,
            0.279848456,
            0.278389364,
            0.276930273,
            0.275804371,
            0.274831623,
            0.273858875,
            0.272886157,
            0.271913409,
            0.270940661,
            0.269967943,
            0.268995196,
            0.268022478,
            0.26704973,
            0.266076982,
            0.265104264,
            0.264131516,
            0.263158798,
            0.26218605,
            0.261213303,
            0.259968668,
            0.258509576,
            0.257050455,
            0.255591363,
            0.254132271,
            0.252673149,
            0.251214057,
            0.24975495,
            0.248295844,
            0.246836737,
            0.245377645,
            0.243918538,
            0.242459431,
            0.241000324,
            0.239541233,
            0.238082126,
            0.236938968,
            0.236209422,
            0.235479876,
            0.234750316,
            0.23402077,
            0.233291224,
            0.232561678,
            0.231832117,
            0.231102571,
            0.230373025,
            0.229643479,
            0.228913933,
            0.228184372,
            0.227454826,
            0.22672528,
            0.225995719,
            0.225266173,
            0.224536628,
            0.223807082,
            0.223077536,
            0.222347975,
            0.221618429,
            0.220888883,
            0.220159337,
            0.219429776,
            0.21870023,
            0.217970684,
            0.217241138,
            0.216511577,
            0.215782031,
            0.215052485,
            0.21432294,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213765725,
            0.214495271,
            0.215224817,
            0.215954363,
            0.216683924,
            0.21741347,
            0.218143016,
            0.218872562,
            0.219602108,
            0.220331669,
            0.221061215,
            0.221790761,
            0.222520322,
            0.223249868,
            0.223979414,
            0.224708959,
            0.225438505,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.22589232,
            0.226621881,
            0.227351427,
            0.228080973,
            0.228810519,
            0.22954008,
            0.230269626,
            0.230999172,
            0.231728718,
            0.232458279,
            0.233187824,
            0.23391737,
            0.234646916,
            0.235376477,
            0.236106023,
            0.236835569,
            0.237565115,
            0.238294676,
            0.239024222,
            0.239753768,
            0.240483314,
            0.241212875,
            0.241942421,
            0.242671967,
            0.243401513,
            0.244131058,
            0.244860619,
            0.245590165,
            0.246319711,
            0.247049272,
            0.247778818,
            0.248508364,
            0.24923791,
            0.249967471,
            0.250697017,
            0.251426578,
            0.252156138,
            0.252885669,
            0.25361523,
            0.254344791,
            0.255074352,
            0.255803883,
            0.256533444,
            0.257263005,
            0.257992566,
            0.258722097,
            0.259451658,
            0.260181218,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260112286,
            0.259382725,
            0.258653164,
            0.257923633,
            0.257194072,
            0.256464511,
            0.25573495,
            0.255005419,
            0.254275858,
            0.253546298,
            0.252816737,
            0.252087206,
            0.251357645,
            0.250628084,
            0.249898538,
            0.249168977,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.248531342,
            0.247801796,
            0.24707225,
            0.246342689,
            0.245613143,
            0.244883597,
            0.244154051,
            0.24342449,
            0.242694944,
            0.241965398,
            0.241235852,
            0.240506291,
            0.239776745,
            0.239047199,
            0.238317654,
            0.237588093,
            0.236858547,
            0.236129001,
            0.235399455,
            0.234669894,
            0.233940348,
            0.233210802,
            0.232481256,
            0.231751695,
            0.231022149,
            0.230292603,
            0.229563057,
            0.228833497,
            0.228103951,
            0.227374405,
            0.226644859,
            0.225915298,
            0.225185752,
            0.224456206,
            0.22372666,
            0.222997099,
            0.222267553,
            0.221538007,
            0.220808461,
            0.2200789,
            0.219349355,
            0.218619809,
            0.217890263,
            0.217160702,
            0.216431156,
            0.21570161,
            0.214972064,
            0.214242518,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.215058222,
            0.216517329,
            0.217976421,
            0.219435528,
            0.22089462,
            0.222353727,
            0.223812819,
            0.225271925,
            0.226731017,
            0.228190124,
            0.229649216,
            0.231108323,
            0.232567415,
            0.234026521,
            0.235485613,
            0.23694472,
            0.237829372,
            0.238558918,
            0.239288464,
            0.24001801,
            0.240747571,
            0.241477117,
            0.242206663,
            0.242936209,
            0.24366577,
            0.244395316,
            0.245124862,
            0.245854408,
            0.246583968,
            0.247313514,
            0.24804306,
            0.248772606,
            0.249502167,
            0.250231713,
            0.250961274,
            0.251690835,
            0.252420366,
            0.253149927,
            0.253879488,
            0.254609048,
            0.255338579,
            0.25606814,
            0.256797701,
            0.257527262,
            0.258256793,
            0.258986354,
            0.259715915,
            0.260445476,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260577589,
            0.259848028,
            0.259118468,
            0.258388937,
            0.257659376,
            0.256929815,
            0.256200254,
            0.255470723,
            0.254741162,
            0.254011601,
            0.25328204,
            0.252552509,
            0.251822948,
            0.251093388,
            0.250363827,
            0.249634281,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.24845092,
            0.247721374,
            0.246991813,
            0.246262267,
            0.245532721,
            0.244803175,
            0.244073614,
            0.243344069,
            0.242614523,
            0.241884977,
            0.241155416,
            0.24042587,
            0.239696324,
            0.238966778,
            0.238237232,
            0.237507671,
            0.236301333,
            0.234842241,
            0.233383134,
            0.231924042,
            0.230464935,
            0.229005843,
            0.227546737,
            0.226087645,
            0.224628538,
            0.223169446,
            0.221710339,
            0.220251247,
            0.21879214,
            0.217333049,
            0.215873942,
            0.21441485,
            0.212827459,
            0.211125165,
            0.209422886,
            0.207720608,
            0.206018329,
            0.204316035,
            0.202613756,
            0.200911477,
            0.199209198,
            0.197506905,
            0.195804626,
            0.194102347,
            0.192400068,
            0.190697789,
            0.188995495,
            0.187293217,
            0.185981557,
            0.185252011,
            0.184522465,
            0.183792904,
            0.183063358,
            0.182333812,
            0.181604266,
            0.180874705,
            0.180145159,
            0.179415613,
            0.178686067,
            0.177956522,
            0.177226961,
            0.176497415,
            0.175767869,
            0.175038323,
            0.174107715,
            0.172648609,
            0.171189517,
            0.16973041,
            0.168271318,
            0.166812211,
            0.165353119,
            0.163894013,
            0.162434921,
            0.160975814,
            0.159516722,
            0.158057615,
            0.156598523,
            0.155139416,
            0.153680325,
            0.152221218,
            0.150725737,
            0.149023458,
            0.14732118,
            0.145618901,
            0.143916607,
            0.142214328,
            0.140512049,
            0.13880977,
            0.137107477,
            0.135405198,
            0.133702919,
            0.13200064,
            0.130298346,
            0.128596067,
            0.126893789,
            0.12519151,
            0.123494968,
            0.122035868,
            0.120576769,
            0.11911767,
            0.11765857,
            0.116199471,
            0.114740372,
            0.113281272,
            0.111822173,
            0.110363074,
            0.108903974,
            0.107444875,
            0.105985776,
            0.104526676,
            0.103067577,
            0.101608478,
            0.100149378,
            0.0993451551,
            0.0986156017,
            0.0978860557,
            0.0971565023,
            0.0964269564,
            0.095697403,
            0.094967857,
            0.0942383036,
            0.0935087577,
            0.0927792042,
            0.0920496583,
            0.0913201049,
            0.0905905589,
            0.0898610055,
            0.0891314596,
            0.0884019062,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0877642706,
            0.0870347247,
            0.0863051713,
            0.0855756253,
            0.0848460719,
            0.0841165259,
            0.0833869725,
            0.0826574266,
            0.0819278732,
            0.0811983272,
            0.0804687738,
            0.0797392279,
            0.0790096745,
            0.0782801285,
            0.0775505751,
            0.0768210292,
            0.075965099,
            0.0749923661,
            0.0740196332,
            0.0730469003,
            0.0720741674,
            0.0711014345,
            0.0701287016,
            0.0691559687,
            0.0681832358,
            0.0672105029,
            0.06623777,
            0.0652650371,
            0.0642923042,
            0.0633195713,
            0.0623468384,
            0.0613741055,
            0.0602098927,
            0.0587507933,
            0.057291694,
            0.0558325946,
            0.0543734953,
            0.0529143959,
            0.0514552966,
            0.0499961972,
            0.0485370979,
            0.0470779985,
            0.0456188992,
            0.0441597998,
            0.0427007005,
            0.0412416011,
            0.0397825018,
            0.0383234024,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0369447283,
            0.0347560793,
            0.0325674303,
            0.0303787813,
            0.0281901322,
            0.0260014832,
            0.0238128342,
            0.0216241851,
            0.019435538,
            0.017246889,
            0.0150582399,
            0.0128695909,
            0.0106809419,
            0.00849229284,
            0.00630364381,
            0.00411499664,
            0.00194549537,
            0.000972762587,
            2.98023224e-8,
            -0.000972703099,
            -0.00194543577,
            -0.00291816844,
            -0.00389090134,
            -0.00486363424,
            -0.00583636668,
            -0.00680909958,
            -0.00778183248,
            -0.00875456538,
            -0.00972729828,
            -0.0107000312,
            -0.0116727632,
            -0.0126454961,
            -0.013618229,
            -0.015023713,
            -0.0164828114,
            -0.0179419108,
            -0.0194010101,
            -0.0208601095,
            -0.0223192088,
            -0.0237783082,
            -0.0252374075,
            -0.0266965069,
            -0.0281556062,
            -0.0296147056,
            -0.0310738049,
            -0.0325329006,
            -0.0339919999,
            -0.0354510993,
            -0.0369101986,
            -0.0383693017,
            -0.0398283973,
            -0.0412874967,
            -0.042746596,
            -0.0442056954,
            -0.0456647947,
            -0.0471238941,
            -0.0485829934,
            -0.0500420928,
            -0.0515011922,
            -0.0529602915,
            -0.0544193909,
            -0.0558784902,
            -0.0573375896,
            -0.0587966889,
            -0.0602557883,
            -0.0618699864,
            -0.0635722727,
            -0.0652745515,
            -0.0669768378,
            -0.0686791167,
            -0.070381403,
            -0.0720836818,
            -0.0737859607,
            -0.075488247,
            -0.0771905333,
            -0.0788928121,
            -0.080595091,
            -0.0822973773,
            -0.0839996561,
            -0.0857019424,
            -0.0874042213,
            -0.0886086524,
            -0.0893381983,
            -0.0900677517,
            -0.0907972977,
            -0.0915268511,
            -0.092256397,
            -0.0929859504,
            -0.0937154964,
            -0.0944450498,
            -0.0951745957,
            -0.0959041491,
            -0.0966336951,
            -0.0973632485,
            -0.0980927944,
            -0.0988223478,
            -0.0995518938,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100189529,
            -0.100919083,
            -0.101648629,
            -0.102378175,
            -0.103107721,
            -0.103837274,
            -0.10456682,
            -0.105296366,
            -0.106025912,
            -0.106755465,
            -0.107485011,
            -0.108214557,
            -0.108944103,
            -0.109673649,
            -0.110403202,
            -0.111132748,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.112224199,
            -0.112953752,
            -0.113683306,
            -0.114412852,
            -0.115142405,
            -0.115871958,
            -0.116601512,
            -0.117331058,
            -0.118060611,
            -0.118790165,
            -0.119519711,
            -0.120249264,
            -0.120978817,
            -0.121708371,
            -0.122437917,
            -0.12316747,
            -0.124019571,
            -0.124992304,
            -0.125965044,
            -0.126937777,
            -0.12791051,
            -0.128883243,
            -0.129855976,
            -0.130828708,
            -0.131801456,
            -0.132774189,
            -0.133746922,
            -0.134719655,
            -0.135692388,
            -0.136665121,
            -0.137637854,
            -0.138610587,
            -0.139491409,
            -0.14022097,
            -0.140950516,
            -0.141680062,
            -0.142409608,
            -0.143139154,
            -0.143868715,
            -0.144598261,
            -0.145327806,
            -0.146057352,
            -0.146786913,
            -0.147516459,
            -0.148246005,
            -0.148975551,
            -0.149705112,
            -0.150434658,
            -0.150796562,
            -0.150067016,
            -0.149337456,
            -0.14860791,
            -0.147878364,
            -0.147148818,
            -0.146419257,
            -0.145689711,
            -0.144960165,
            -0.144230619,
            -0.143501058,
            -0.142771512,
            -0.142041966,
            -0.14131242,
            -0.14058286,
            -0.139853314,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678
          ],
          [
            -0.139215678,
            -0.139945224,
            -0.14067477,
            -0.141404331,
            -0.142133877,
            -0.142863423,
            -0.143592969,
            -0.144322529,
            -0.145052075,
            -0.145781621,
            -0.146511167,
            -0.147240728,
            -0.147970274,
            -0.14869982,
            -0.149429366,
            -0.150158927,
            -0.150888473,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150434658,
            -0.149705112,
            -0.148975551,
            -0.148246005,
            -0.147516459,
            -0.146786913,
            -0.146057352,
            -0.145327806,
            -0.144598261,
            -0.143868715,
            -0.143139154,
            -0.142409608,
            -0.141680062,
            -0.140950516,
            -0.14022097,
            -0.139491409,
            -0.139669493,
            -0.140399039,
            -0.141128585,
            -0.141858146,
            -0.142587692,
            -0.143317237,
            -0.144046783,
            -0.144776344,
            -0.14550589,
            -0.146235436,
            -0.146964982,
            -0.147694543,
            -0.148424089,
            -0.149153635,
            -0.149883181,
            -0.150612742,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150802299,
            -0.150072753,
            -0.149343207,
            -0.148613662,
            -0.147884101,
            -0.147154555,
            -0.146425009,
            -0.145695463,
            -0.144965902,
            -0.144236356,
            -0.14350681,
            -0.142777264,
            -0.142047703,
            -0.141318157,
            -0.140588611,
            -0.139859065,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139939487,
            -0.140669033,
            -0.141398579,
            -0.142128125,
            -0.142857686,
            -0.143587232,
            -0.144316778,
            -0.145046324,
            -0.145775884,
            -0.14650543,
            -0.147234976,
            -0.147964522,
            -0.148694083,
            -0.149423629,
            -0.150153175,
            -0.150882721,
            -0.151612282,
            -0.152341828,
            -0.153071374,
            -0.15380092,
            -0.154530481,
            -0.155260026,
            -0.155989572,
            -0.156719118,
            -0.157448679,
            -0.158178225,
            -0.158907771,
            -0.159637317,
            -0.160366878,
            -0.161096424,
            -0.16182597,
            -0.162555516,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.163101241,
            -0.163830802,
            -0.164560348,
            -0.165289894,
            -0.16601944,
            -0.166749001,
            -0.167478547,
            -0.168208092,
            -0.168937638,
            -0.169667199,
            -0.170396745,
            -0.171126291,
            -0.171855837,
            -0.172585398,
            -0.173314944,
            -0.17404449,
            -0.174774036,
            -0.175503597,
            -0.176233143,
            -0.176962689,
            -0.177692235,
            -0.178421795,
            -0.179151341,
            -0.179880887,
            -0.180610433,
            -0.181339979,
            -0.18206954,
            -0.182799086,
            -0.183528632,
            -0.184258178,
            -0.184987739,
            -0.185717285,
            -0.186446831,
            -0.187176377,
            -0.187905937,
            -0.188635483,
            -0.189365029,
            -0.190094575,
            -0.190824136,
            -0.191553682,
            -0.192283228,
            -0.193012774,
            -0.193742335,
            -0.194471881,
            -0.195201427,
            -0.195930973,
            -0.196660534,
            -0.197390079,
            -0.198146433,
            -0.199119166,
            -0.200091898,
            -0.201064631,
            -0.202037364,
            -0.203010097,
            -0.20398283,
            -0.204955563,
            -0.205928296,
            -0.206901029,
            -0.207873762,
            -0.208846495,
            -0.209819227,
            -0.21079196,
            -0.211764693,
            -0.212737426,
            -0.213710159,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.21289061,
            -0.211917877,
            -0.210945144,
            -0.209972411,
            -0.208999678,
            -0.208026946,
            -0.207054213,
            -0.20608148,
            -0.205108747,
            -0.204136014,
            -0.203163281,
            -0.202190548,
            -0.201217815,
            -0.200245082,
            -0.199272349,
            -0.198299617,
            -0.197504967,
            -0.196775422,
            -0.196045861,
            -0.195316315,
            -0.194586769,
            -0.193857223,
            -0.193127662,
            -0.192398116,
            -0.19166857,
            -0.190939024,
            -0.190209478,
            -0.189479917,
            -0.188750371,
            -0.188020825,
            -0.187291279,
            -0.186561719,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186349183,
            -0.187078729,
            -0.187808275,
            -0.188537821,
            -0.189267382,
            -0.189996928,
            -0.190726474,
            -0.19145602,
            -0.192185581,
            -0.192915127,
            -0.193644673,
            -0.194374219,
            -0.195103765,
            -0.195833325,
            -0.196562871,
            -0.197292417,
            -0.198021978,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197510704,
            -0.196781158,
            -0.196051612,
            -0.195322067,
            -0.194592506,
            -0.19386296,
            -0.193133414,
            -0.192403868,
            -0.191674322,
            -0.190944761,
            -0.190215215,
            -0.189485669,
            -0.188756108,
            -0.188026562,
            -0.187297016,
            -0.18656747,
            -0.185837924,
            -0.185108364,
            -0.184378818,
            -0.183649272,
            -0.182919726,
            -0.182190165,
            -0.181460619,
            -0.180731073,
            -0.180001527,
            -0.179271966,
            -0.17854242,
            -0.177812874,
            -0.177083328,
            -0.176353768,
            -0.175624222,
            -0.174894676,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174762547,
            -0.175492108,
            -0.176221654,
            -0.1769512,
            -0.177680746,
            -0.178410292,
            -0.179139853,
            -0.179869398,
            -0.180598944,
            -0.18132849,
            -0.182058051,
            -0.182787597,
            -0.183517143,
            -0.184246689,
            -0.18497625,
            -0.185705796,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186205566,
            -0.18547602,
            -0.184746459,
            -0.184016913,
            -0.183287367,
            -0.182557821,
            -0.18182826,
            -0.181098714,
            -0.180369169,
            -0.179639623,
            -0.178910077,
            -0.178180516,
            -0.17745097,
            -0.176721424,
            -0.175991863,
            -0.175262317,
            -0.174532771,
            -0.172390074,
            -0.170201436,
            -0.168012783,
            -0.16582413,
            -0.163635477,
            -0.16144684,
            -0.159258187,
            -0.157069534,
            -0.154880881,
            -0.152692243,
            -0.150503591,
            -0.148314938,
            -0.1461263,
            -0.143937647,
            -0.141748995,
            -0.139560342,
            -0.137166813,
            -0.134734973,
            -0.132303149,
            -0.129871309,
            -0.127439469,
            -0.125007644,
            -0.122575805,
            -0.120143972,
            -0.11771214,
            -0.115280308,
            -0.112848476,
            -0.110416636,
            -0.107984804,
            -0.105552971,
            -0.103121132,
            -0.100689307,
            -0.098954469,
            -0.0974953696,
            -0.0960362703,
            -0.0945771709,
            -0.0931180716,
            -0.0916589722,
            -0.0901998729,
            -0.0887407735,
            -0.0872816741,
            -0.0858225748,
            -0.0843634754,
            -0.0829043761,
            -0.0814452767,
            -0.0799861774,
            -0.078527078,
            -0.0770679787,
            -0.0754652694,
            -0.0737629831,
            -0.0720607042,
            -0.0703584254,
            -0.0686561391,
            -0.0669538602,
            -0.0652515739,
            -0.0635492951,
            -0.0618470088,
            -0.0601447299,
            -0.0584424436,
            -0.0567401648,
            -0.0550378785,
            -0.0533355996,
            -0.0516333133,
            -0.0499310344,
            -0.0486806519,
            -0.0479511023,
            -0.0472215526,
            -0.0464920029,
            -0.0457624532,
            -0.0450329036,
            -0.0443033539,
            -0.0435738042,
            -0.0428442545,
            -0.0421147048,
            -0.0413851552,
            -0.0406556055,
            -0.0399260558,
            -0.0391965061,
            -0.0384669565,
            -0.0377374068,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0370997675,
            -0.0363702178,
            -0.0356406681,
            -0.0349111184,
            -0.0341815688,
            -0.0334520191,
            -0.0327224731,
            -0.0319929197,
            -0.0312633738,
            -0.0305338223,
            -0.0298042726,
            -0.0290747229,
            -0.0283451751,
            -0.0276156254,
            -0.0268860757,
            -0.0261565261,
            -0.0253427234,
            -0.0236404408,
            -0.0219381582,
            -0.0202358756,
            -0.018533593,
            -0.0168313123,
            -0.0151290288,
            -0.0134267462,
            -0.0117244637,
            -0.010022182,
            -0.00831989944,
            -0.00661761686,
            -0.00491533428,
            -0.00321305171,
            -0.00151076913,
            0.000191513449,
            0.00189379416,
            0.00336246844,
            0.0048215678,
            0.00628066668,
            0.00773976604,
            0.00919886492,
            0.0106579643,
            0.0121170636,
            0.013576163,
            0.0150352614,
            0.0164943598,
            0.0179534592,
            0.0194125585,
            0.0208716579,
            0.0223307572,
            0.0237898566,
            0.0252489559,
            0.0267080553,
            0.0281671546,
            0.029626254,
            0.0310853533,
            0.0325444527,
            0.034003552,
            0.0354626514,
            0.0369217508,
            0.0383808464,
            0.0398399457,
            0.0412990451,
            0.0427581444,
            0.0442172438,
            0.0456763431,
            0.0471354425,
            0.0485945418,
            0.0502259769,
            0.0519282594,
            0.053630542,
            0.0553328246,
            0.0570351072,
            0.0587373897,
            0.0604396686,
            0.0621419549,
            0.0638442338,
            0.0655465201,
            0.0672487989,
            0.0689510852,
            0.0706533641,
            0.0723556429,
            0.0740579292,
            0.0757602155,
            0.0777458921,
            0.0799345374,
            0.0821231902,
            0.0843118355,
            0.0865004808,
            0.0886891335,
            0.0908777788,
            0.0930664316,
            0.0952550769,
            0.0974437296,
            0.0996323749,
            0.101821028,
            0.104009673,
            0.106198326,
            0.108386971,
            0.110575616,
            0.112542152,
            0.114244431,
            0.11594671,
            0.117648996,
            0.119351283,
            0.121053562,
            0.12275584,
            0.124458127,
            0.126160413,
            0.127862692,
            0.129564971,
            0.13126725,
            0.132969543,
            0.134671822,
            0.136374101,
            0.13807638,
            0.139456972,
            0.140186518,
            0.140916079,
            0.141645625,
            0.142375171,
            0.143104717,
            0.143834278,
            0.144563824,
            0.14529337,
            0.146022916,
            0.146752477,
            0.147482023,
            0.148211569,
            0.148941115,
            0.149670675,
            0.150400221,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151037857,
            0.151767418,
            0.152496964,
            0.153226525,
            0.153956071,
            0.154685631,
            0.155415177,
            0.156144738,
            0.156874284,
            0.15760383,
            0.158333391,
            0.159062952,
            0.159792498,
            0.160522044,
            0.161251605,
            0.161981151,
            0.162710711,
            0.163440257,
            0.164169803,
            0.164899349,
            0.165628895,
            0.166358441,
            0.167087987,
            0.167817533,
            0.168547079,
            0.169276625,
            0.170006171,
            0.170735717,
            0.171465263,
            0.172194809,
            0.172924355,
            0.173653901,
            0.174383447,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174929172,
            0.175658718,
            0.176388264,
            0.177117825,
            0.177847371,
            0.178576916,
            0.179306462,
            0.180036023,
            0.180765569,
            0.181495115,
            0.182224661,
            0.182954222,
            0.183683768,
            0.184413314,
            0.18514286,
            0.185872421,
            0.186711118,
            0.187683851,
            0.188656583,
            0.189629316,
            0.190602064,
            0.191574797,
            0.19254753,
            0.193520263,
            0.194492996,
            0.195465744,
            0.196438476,
            0.197411209,
            0.198383942,
            0.19935669,
            0.200329423,
            0.201302156,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.202104479,
            0.202834025,
            0.203563571,
            0.204293117,
            0.205022663,
            0.205752209,
            0.206481755,
            0.207211301,
            0.207940847,
            0.208670393,
            0.209399939,
            0.210129485,
            0.21085903,
            0.211588576,
            0.212318122,
            0.213047668,
            0.213777214,
            0.21450676,
            0.215236306,
            0.215965852,
            0.216695413,
            0.217424959,
            0.218154505,
            0.218884051,
            0.219613612,
            0.220343158,
            0.221072704,
            0.22180225,
            0.222531796,
            0.223261356,
            0.223990902,
            0.224720448,
            0.225449994,
            0.226179555,
            0.226909101,
            0.227638647,
            0.228368193,
            0.229097754,
            0.2298273,
            0.230556846,
            0.231286392,
            0.232015952,
            0.232745498,
            0.233475044,
            0.23420459,
            0.234934151,
            0.235663697,
            0.236393243,
            0.237122789,
            0.238449767,
            0.239908874,
            0.241367981,
            0.242827088,
            0.24428618,
            0.245745286,
            0.247204393,
            0.2486635,
            0.250122607,
            0.251581699,
            0.253040791,
            0.254499912,
            0.255959004,
            0.257418096,
            0.258877218,
            0.26033631,
            0.261963934,
            0.263666213,
            0.265368491,
            0.26707077,
            0.268773049,
            0.270475328,
            0.272177607,
            0.273879886,
            0.275582194,
            0.277284473,
            0.278986752,
            0.280689031,
            0.28239131,
            0.284093589,
            0.285795867,
            0.287498146,
            0.288648963,
            0.289378524,
            0.290108055,
            0.290837616,
            0.291567177,
            0.292296708,
            0.293026268,
            0.293755829,
            0.29448536,
            0.295214921,
            0.295944452,
            0.296674013,
            0.297403574,
            0.298133105,
            0.298862666,
            0.299592227,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300229847,
            0.300959408,
            0.301688939,
            0.3024185,
            0.303148061,
            0.303877592,
            0.304607153,
            0.305336684,
            0.306066245,
            0.306795806,
            0.307525337,
            0.308254898,
            0.308984458,
            0.309713989,
            0.31044355,
            0.311173081,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311081171,
            0.31035164,
            0.309622079,
            0.308892548,
            0.308162987,
            0.307433426,
            0.306703895,
            0.305974334,
            0.305244774,
            0.304515243,
            0.303785682,
            0.303056151,
            0.30232659,
            0.301597029,
            0.300867498,
            0.300137937,
            0.299408376,
            0.298678845,
            0.297949284,
            0.297219753,
            0.296490192,
            0.295760632,
            0.295031101,
            0.29430154,
            0.293571979,
            0.292842448,
            0.292112887,
            0.291383356,
            0.290653795,
            0.289924234,
            0.289194703,
            0.288465142,
            0.287069231,
            0.285366952,
            0.283664674,
            0.281962395,
            0.280260116,
            0.278557837,
            0.276855528,
            0.27515325,
            0.273450971,
            0.271748692,
            0.270046413,
            0.268344134,
            0.266641855,
            0.264939576,
            0.263237298,
            0.261534989,
            0.259968668,
            0.258509576,
            0.257050455,
            0.255591363,
            0.254132271,
            0.252673149,
            0.251214057,
            0.24975495,
            0.248295844,
            0.246836737,
            0.245377645,
            0.243918538,
            0.242459431,
            0.241000324,
            0.239541233,
            0.238082126,
            0.236623019,
            0.235163927,
            0.23370482,
            0.232245728,
            0.230786622,
            0.22932753,
            0.227868423,
            0.226409331,
            0.224950224,
            0.223491132,
            0.22203204,
            0.220572934,
            0.219113827,
            0.217654735,
            0.216195643,
            0.214736536,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.214127615,
            0.214857176,
            0.215586722,
            0.216316268,
            0.217045814,
            0.217775375,
            0.218504921,
            0.219234467,
            0.219964013,
            0.220693573,
            0.221423119,
            0.222152665,
            0.222882211,
            0.223611772,
            0.224341318,
            0.225070864,
            0.22580041,
            0.226529971,
            0.227259517,
            0.227989063,
            0.228718609,
            0.229448169,
            0.230177715,
            0.230907261,
            0.231636807,
            0.232366353,
            0.233095914,
            0.23382546,
            0.234555006,
            0.235284567,
            0.236014113,
            0.236743659,
            0.237473205,
            0.238202751,
            0.238932312,
            0.239661857,
            0.240391403,
            0.241120949,
            0.24185051,
            0.242580056,
            0.243309602,
            0.244039148,
            0.244768709,
            0.245498255,
            0.246227801,
            0.246957347,
            0.247686908,
            0.248416454,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.248347521,
            0.247617975,
            0.246888414,
            0.246158868,
            0.245429322,
            0.244699776,
            0.243970215,
            0.243240669,
            0.242511123,
            0.241781577,
            0.241052017,
            0.240322471,
            0.239592925,
            0.238863379,
            0.238133818,
            0.237404272,
            0.236674726,
            0.23594518,
            0.235215619,
            0.234486073,
            0.233756527,
            0.233026981,
            0.232297421,
            0.231567875,
            0.230838329,
            0.230108783,
            0.229379222,
            0.228649676,
            0.22792013,
            0.227190584,
            0.226461023,
            0.225731477,
            0.225001931,
            0.224272385,
            0.223542839,
            0.222813278,
            0.222083732,
            0.221354187,
            0.220624641,
            0.21989508,
            0.219165534,
            0.218435988,
            0.217706442,
            0.216976881,
            0.216247335,
            0.215517789,
            0.214788243,
            0.214058682,
            0.213329136,
            0.21259959,
            0.211870044,
            0.211140499,
            0.210410953,
            0.209681407,
            0.208951861,
            0.208222315,
            0.207492769,
            0.206763223,
            0.206033677,
            0.205304131,
            0.204574585,
            0.203845039,
            0.203115493,
            0.202385947,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.202627212,
            0.203356758,
            0.204086304,
            0.20481585,
            0.205545396,
            0.206274942,
            0.207004488,
            0.207734033,
            0.208463579,
            0.209193125,
            0.209922671,
            0.210652217,
            0.211381763,
            0.212111309,
            0.212840855,
            0.213570401,
            0.214874402,
            0.216333508,
            0.2177926,
            0.219251707,
            0.220710799,
            0.222169906,
            0.223628998,
            0.225088105,
            0.226547197,
            0.228006303,
            0.229465395,
            0.230924487,
            0.232383594,
            0.233842701,
            0.235301793,
            0.236760885,
            0.237737447,
            0.238467008,
            0.239196554,
            0.2399261,
            0.240655646,
            0.241385207,
            0.242114753,
            0.242844298,
            0.243573844,
            0.244303405,
            0.245032951,
            0.245762497,
            0.246492043,
            0.247221604,
            0.24795115,
            0.248680696,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.24845092,
            0.247721374,
            0.246991813,
            0.246262267,
            0.245532721,
            0.244803175,
            0.244073614,
            0.243344069,
            0.242614523,
            0.241884977,
            0.241155416,
            0.24042587,
            0.239696324,
            0.238966778,
            0.238237232,
            0.237507671,
            0.236301333,
            0.234842241,
            0.233383134,
            0.231924042,
            0.230464935,
            0.229005843,
            0.227546737,
            0.226087645,
            0.224628538,
            0.223169446,
            0.221710339,
            0.220251247,
            0.21879214,
            0.217333049,
            0.215873942,
            0.21441485,
            0.213340625,
            0.212611079,
            0.211881533,
            0.211151987,
            0.210422441,
            0.209692895,
            0.208963349,
            0.208233804,
            0.207504258,
            0.206774712,
            0.206045166,
            0.20531562,
            0.204586074,
            0.203856528,
            0.203126982,
            0.202397436,
            0.201277271,
            0.199574977,
            0.197872698,
            0.196170405,
            0.194468126,
            0.192765832,
            0.191063553,
            0.189361259,
            0.18765898,
            0.185956687,
            0.184254408,
            0.182552114,
            0.180849835,
            0.179147542,
            0.177445263,
            0.175742984,
            0.174107715,
            0.172648609,
            0.171189517,
            0.16973041,
            0.168271318,
            0.166812211,
            0.165353119,
            0.163894013,
            0.162434921,
            0.160975814,
            0.159516722,
            0.158057615,
            0.156598523,
            0.155139416,
            0.153680325,
            0.152221218,
            0.150725737,
            0.149023458,
            0.14732118,
            0.145618901,
            0.143916607,
            0.142214328,
            0.140512049,
            0.13880977,
            0.137107477,
            0.135405198,
            0.133702919,
            0.13200064,
            0.130298346,
            0.128596067,
            0.126893789,
            0.12519151,
            0.123512201,
            0.122782648,
            0.122053102,
            0.121323556,
            0.120594002,
            0.119864456,
            0.119134903,
            0.118405357,
            0.117675804,
            0.116946258,
            0.116216704,
            0.115487158,
            0.114757605,
            0.114028059,
            0.113298506,
            0.11256896,
            0.111839406,
            0.11110986,
            0.110380307,
            0.109650761,
            0.108921207,
            0.108191662,
            0.107462108,
            0.106732562,
            0.106003009,
            0.105273463,
            0.104543909,
            0.103814363,
            0.10308481,
            0.102355264,
            0.101625711,
            0.100896165,
            0.100166611,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0995289758,
            0.0987994298,
            0.0980698764,
            0.0973403305,
            0.0966107771,
            0.0958812311,
            0.0951516777,
            0.0944221318,
            0.0936925784,
            0.0929630324,
            0.092233479,
            0.0915039331,
            0.0907743797,
            0.0900448337,
            0.0893152803,
            0.0885857344,
            0.087856181,
            0.087126635,
            0.0863970816,
            0.0856675357,
            0.0849379823,
            0.0842084363,
            0.0834788829,
            0.082749337,
            0.0820197836,
            0.0812902376,
            0.0805606842,
            0.0798311383,
            0.0791015849,
            0.0783720389,
            0.0776424855,
            0.0769129395,
            0.0758004263,
            0.07409814,
            0.0723958611,
            0.0706935748,
            0.068991296,
            0.0672890097,
            0.0655867308,
            0.0638844445,
            0.0621821657,
            0.0604798831,
            0.0587776005,
            0.0570753179,
            0.0553730354,
            0.0536707528,
            0.0519684702,
            0.0502661876,
            0.0488243215,
            0.0480947718,
            0.0473652221,
            0.0466356725,
            0.0459061228,
            0.0451765731,
            0.0444470234,
            0.0437174737,
            0.0429879241,
            0.0422583744,
            0.0415288284,
            0.040799275,
            0.0400697291,
            0.0393401757,
            0.0386106297,
            0.0378810763,
            0.0370481275,
            0.0355890281,
            0.0341299288,
            0.0326708294,
            0.031211732,
            0.0297526326,
            0.0282935333,
            0.0268344339,
            0.0253753345,
            0.0239162352,
            0.0224571358,
            0.0209980365,
            0.0195389371,
            0.0180798396,
            0.0166207403,
            0.0151616409,
            0.013698712,
            0.0119964294,
            0.0102941468,
            0.00859186426,
            0.00688958215,
            0.00518730003,
            0.00348501746,
            0.00178273488,
            8.04523006e-5,
            -0.00162182935,
            -0.00332411192,
            -0.0050263945,
            -0.00672867708,
            -0.00843095966,
            -0.0101332422,
            -0.0118355248,
            -0.0135378055,
            -0.015023713,
            -0.0164828114,
            -0.0179419108,
            -0.0194010101,
            -0.0208601095,
            -0.0223192088,
            -0.0237783082,
            -0.0252374075,
            -0.0266965069,
            -0.0281556062,
            -0.0296147056,
            -0.0310738049,
            -0.0325329006,
            -0.0339919999,
            -0.0354510993,
            -0.0369101986,
            -0.0383693017,
            -0.0398283973,
            -0.0412874967,
            -0.042746596,
            -0.0442056954,
            -0.0456647947,
            -0.0471238941,
            -0.0485829934,
            -0.0500420928,
            -0.0515011922,
            -0.0529602915,
            -0.0544193909,
            -0.0558784902,
            -0.0573375896,
            -0.0587966889,
            -0.0602557883,
            -0.0614046864,
            -0.0623774156,
            -0.0633501485,
            -0.0643228814,
            -0.0652956143,
            -0.0662683472,
            -0.0672410801,
            -0.068213813,
            -0.0691865459,
            -0.0701592788,
            -0.0711320117,
            -0.0721047446,
            -0.0730774775,
            -0.0740502104,
            -0.0750229433,
            -0.0759956762,
            -0.0768439472,
            -0.0775734931,
            -0.0783030465,
            -0.0790325925,
            -0.0797621459,
            -0.0804916918,
            -0.0812212452,
            -0.0819507912,
            -0.0826803446,
            -0.0834098905,
            -0.0841394439,
            -0.0848689899,
            -0.0855985433,
            -0.0863280892,
            -0.0870576426,
            -0.0877871886,
            -0.088516742,
            -0.0892462879,
            -0.0899758413,
            -0.0907053873,
            -0.0914349407,
            -0.0921644866,
            -0.0928940326,
            -0.093623586,
            -0.0943531394,
            -0.0950826854,
            -0.0958122313,
            -0.0965417847,
            -0.0972713307,
            -0.0980008841,
            -0.09873043,
            -0.0994599834,
            -0.100189529,
            -0.100919083,
            -0.101648629,
            -0.102378175,
            -0.103107721,
            -0.103837274,
            -0.10456682,
            -0.105296366,
            -0.106025912,
            -0.106755465,
            -0.107485011,
            -0.108214557,
            -0.108944103,
            -0.109673649,
            -0.110403202,
            -0.111132748,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11121317,
            -0.110483624,
            -0.109754078,
            -0.109024525,
            -0.108294979,
            -0.107565433,
            -0.106835887,
            -0.106106333,
            -0.105376787,
            -0.104647242,
            -0.103917696,
            -0.103188142,
            -0.102458596,
            -0.10172905,
            -0.100999504,
            -0.100269958,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100735262,
            -0.102194354,
            -0.103653453,
            -0.105112553,
            -0.106571652,
            -0.108030751,
            -0.109489851,
            -0.11094895,
            -0.112408049,
            -0.113867149,
            -0.115326248,
            -0.116785347,
            -0.118244447,
            -0.119703546,
            -0.121162646,
            -0.122621745,
            -0.123897023,
            -0.124869756,
            -0.125842497,
            -0.12681523,
            -0.127787963,
            -0.128760695,
            -0.129733428,
            -0.130706161,
            -0.131678894,
            -0.132651627,
            -0.133624375,
            -0.134597108,
            -0.135569841,
            -0.136542574,
            -0.137515306,
            -0.138488039,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139093131,
            -0.138120398,
            -0.137147665,
            -0.136174932,
            -0.135202184,
            -0.134229451,
            -0.133256719,
            -0.132283986,
            -0.131311253,
            -0.13033852,
            -0.129365787,
            -0.128393054,
            -0.127420306,
            -0.126447573,
            -0.12547484,
            -0.124502108
          ],
          [
            -0.123529375,
            -0.124502108,
            -0.12547484,
            -0.126447573,
            -0.127420306,
            -0.128393054,
            -0.129365787,
            -0.13033852,
            -0.131311253,
            -0.132283986,
            -0.133256719,
            -0.134229451,
            -0.135202184,
            -0.136174917,
            -0.137147665,
            -0.138120398,
            -0.139093131,
            -0.138365492,
            -0.137392759,
            -0.136420026,
            -0.135447294,
            -0.134474561,
            -0.133501813,
            -0.13252908,
            -0.131556347,
            -0.130583614,
            -0.129610881,
            -0.128638148,
            -0.127665415,
            -0.126692683,
            -0.125719935,
            -0.124747209,
            -0.123774469,
            -0.122983649,
            -0.122254096,
            -0.121524543,
            -0.120794997,
            -0.120065443,
            -0.11933589,
            -0.118606336,
            -0.11787679,
            -0.117147237,
            -0.116417684,
            -0.11568813,
            -0.114958584,
            -0.114229031,
            -0.113499478,
            -0.112769924,
            -0.112040378,
            -0.112218454,
            -0.112948008,
            -0.113677561,
            -0.114407107,
            -0.115136661,
            -0.115866214,
            -0.11659576,
            -0.117325313,
            -0.118054867,
            -0.11878442,
            -0.119513966,
            -0.12024352,
            -0.120973073,
            -0.121702626,
            -0.122432172,
            -0.123161726,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123351298,
            -0.122621745,
            -0.121892191,
            -0.121162638,
            -0.120433092,
            -0.119703539,
            -0.118973985,
            -0.118244432,
            -0.117514886,
            -0.116785333,
            -0.116055779,
            -0.115326226,
            -0.11459668,
            -0.113867126,
            -0.113137573,
            -0.112408027,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.112488449,
            -0.113217995,
            -0.113947548,
            -0.114677101,
            -0.115406655,
            -0.116136201,
            -0.116865754,
            -0.117595308,
            -0.118324861,
            -0.119054407,
            -0.11978396,
            -0.120513514,
            -0.12124306,
            -0.121972613,
            -0.122702166,
            -0.12343172,
            -0.124371901,
            -0.125344634,
            -0.126317367,
            -0.1272901,
            -0.128262833,
            -0.129235581,
            -0.130208313,
            -0.131181046,
            -0.132153779,
            -0.133126512,
            -0.134099245,
            -0.135071978,
            -0.136044711,
            -0.137017459,
            -0.137990192,
            -0.138962924,
            -0.139755666,
            -0.140485212,
            -0.141214758,
            -0.141944304,
            -0.142673865,
            -0.143403411,
            -0.144132957,
            -0.144862503,
            -0.145592064,
            -0.14632161,
            -0.147051156,
            -0.147780702,
            -0.148510247,
            -0.149239808,
            -0.149969354,
            -0.1506989,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.151336536,
            -0.152066097,
            -0.152795643,
            -0.153525189,
            -0.154254735,
            -0.154984295,
            -0.155713841,
            -0.156443387,
            -0.157172933,
            -0.157902494,
            -0.15863204,
            -0.159361586,
            -0.160091132,
            -0.160820693,
            -0.161550239,
            -0.162279785,
            -0.163273588,
            -0.16473268,
            -0.166191787,
            -0.167650878,
            -0.16910997,
            -0.170569077,
            -0.172028184,
            -0.173487276,
            -0.174946368,
            -0.176405475,
            -0.177864566,
            -0.179323673,
            -0.180782765,
            -0.182241872,
            -0.183700964,
            -0.185160071,
            -0.186446831,
            -0.187176377,
            -0.187905937,
            -0.188635483,
            -0.189365029,
            -0.190094575,
            -0.190824136,
            -0.191553682,
            -0.192283228,
            -0.193012774,
            -0.193742335,
            -0.194471881,
            -0.195201427,
            -0.195930973,
            -0.196660534,
            -0.197390079,
            -0.198146433,
            -0.199119166,
            -0.200091898,
            -0.201064631,
            -0.202037364,
            -0.203010097,
            -0.20398283,
            -0.204955563,
            -0.205928296,
            -0.206901029,
            -0.207873762,
            -0.208846495,
            -0.209819227,
            -0.21079196,
            -0.211764693,
            -0.212737426,
            -0.213710159,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.21289061,
            -0.211917877,
            -0.210945144,
            -0.209972411,
            -0.208999678,
            -0.208026946,
            -0.207054213,
            -0.20608148,
            -0.205108747,
            -0.204136014,
            -0.203163281,
            -0.202190548,
            -0.201217815,
            -0.200245082,
            -0.199272349,
            -0.198299617,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197418794,
            -0.196689248,
            -0.195959702,
            -0.195230156,
            -0.194500595,
            -0.193771049,
            -0.193041503,
            -0.192311957,
            -0.191582397,
            -0.190852851,
            -0.190123305,
            -0.189393759,
            -0.188664198,
            -0.187934652,
            -0.187205106,
            -0.18647556,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.185837924,
            -0.185108364,
            -0.184378818,
            -0.183649272,
            -0.182919726,
            -0.182190165,
            -0.181460619,
            -0.180731073,
            -0.180001527,
            -0.179271966,
            -0.17854242,
            -0.177812874,
            -0.177083328,
            -0.176353768,
            -0.175624222,
            -0.174894676,
            -0.174854457,
            -0.175584018,
            -0.176313564,
            -0.17704311,
            -0.177772656,
            -0.178502217,
            -0.179231763,
            -0.179961309,
            -0.180690855,
            -0.181420416,
            -0.182149962,
            -0.182879508,
            -0.183609053,
            -0.184338599,
            -0.18506816,
            -0.185797706,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186205566,
            -0.18547602,
            -0.184746459,
            -0.184016913,
            -0.183287367,
            -0.182557821,
            -0.18182826,
            -0.181098714,
            -0.180369169,
            -0.179639623,
            -0.178910077,
            -0.178180516,
            -0.17745097,
            -0.176721424,
            -0.175991863,
            -0.175262317,
            -0.174532771,
            -0.173096657,
            -0.17163755,
            -0.170178458,
            -0.168719351,
            -0.167260259,
            -0.165801153,
            -0.164342061,
            -0.162882954,
            -0.161423862,
            -0.159964755,
            -0.158505663,
            -0.157046556,
            -0.155587465,
            -0.154128358,
            -0.152669266,
            -0.151210159,
            -0.149546176,
            -0.147843897,
            -0.146141604,
            -0.144439325,
            -0.142737031,
            -0.141034752,
            -0.139332473,
            -0.13763018,
            -0.135927901,
            -0.134225622,
            -0.132523328,
            -0.130821049,
            -0.12911877,
            -0.127416477,
            -0.125714198,
            -0.124011911,
            -0.122483879,
            -0.12102478,
            -0.119565681,
            -0.118106581,
            -0.116647482,
            -0.115188383,
            -0.113729283,
            -0.112270184,
            -0.110811085,
            -0.109351985,
            -0.107892886,
            -0.106433786,
            -0.104974687,
            -0.103515588,
            -0.102056488,
            -0.100597389,
            -0.0991382897,
            -0.0976791903,
            -0.096220091,
            -0.0947609916,
            -0.0933018923,
            -0.0918427929,
            -0.0903836936,
            -0.0889245942,
            -0.0874654949,
            -0.086006403,
            -0.0845472962,
            -0.0830882043,
            -0.0816290975,
            -0.0801700056,
            -0.0787108988,
            -0.0772518069,
            -0.0756797269,
            -0.073977448,
            -0.0722751617,
            -0.0705728829,
            -0.068870604,
            -0.0671683177,
            -0.0654660314,
            -0.0637637526,
            -0.06206147,
            -0.0603591874,
            -0.0586569086,
            -0.0569546223,
            -0.0552523434,
            -0.0535500571,
            -0.0518477783,
            -0.050145492,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0488644727,
            -0.048134923,
            -0.0474053733,
            -0.0466758236,
            -0.045946274,
            -0.0452167243,
            -0.0444871783,
            -0.0437576249,
            -0.043028079,
            -0.0422985293,
            -0.0415689796,
            -0.0408394262,
            -0.0401098803,
            -0.0393803306,
            -0.0386507809,
            -0.0379212312,
            -0.0371284895,
            -0.0356693938,
            -0.0342102945,
            -0.0327511951,
            -0.0312920958,
            -0.0298329964,
            -0.0283738971,
            -0.0269147977,
            -0.0254556984,
            -0.023996599,
            -0.0225374997,
            -0.0210784003,
            -0.019619301,
            -0.0181602016,
            -0.0167011023,
            -0.0152420029,
            -0.0137829036,
            -0.0113893691,
            -0.00895753689,
            -0.0065257051,
            -0.00409387331,
            -0.00166204106,
            0.000769791193,
            0.00320162252,
            0.00563345477,
            0.00806528702,
            0.0104971193,
            0.0129289515,
            0.0153607819,
            0.017792616,
            0.0202244483,
            0.0226562768,
            0.0250881091,
            0.0267080553,
            0.0281671546,
            0.029626254,
            0.0310853533,
            0.0325444527,
            0.034003552,
            0.0354626514,
            0.0369217508,
            0.0383808464,
            0.0398399457,
            0.0412990451,
            0.0427581444,
            0.0442172438,
            0.0456763431,
            0.0471354425,
            0.0485945418,
            0.0502259769,
            0.0519282594,
            0.053630542,
            0.0553328246,
            0.0570351072,
            0.0587373897,
            0.0604396686,
            0.0621419549,
            0.0638442338,
            0.0655465201,
            0.0672487989,
            0.0689510852,
            0.0706533641,
            0.0723556429,
            0.0740579292,
            0.0757602155,
            0.0773207992,
            0.0787798986,
            0.0802389979,
            0.0816980973,
            0.0831571966,
            0.084616296,
            0.0860753953,
            0.0875344947,
            0.0889935941,
            0.090452686,
            0.0919117928,
            0.0933708847,
            0.0948299915,
            0.0962890834,
            0.0977481902,
            0.0992072821,
            0.101110622,
            0.103542455,
            0.105974287,
            0.108406119,
            0.110837951,
            0.113269784,
            0.115701616,
            0.118133448,
            0.12056528,
            0.122997113,
            0.125428945,
            0.12786077,
            0.130292609,
            0.132724434,
            0.135156274,
            0.137588099,
            0.139456972,
            0.140186518,
            0.140916079,
            0.141645625,
            0.142375171,
            0.143104717,
            0.143834278,
            0.144563824,
            0.14529337,
            0.146022916,
            0.146752477,
            0.147482023,
            0.148211569,
            0.148941115,
            0.149670675,
            0.150400221,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151583582,
            0.152313143,
            0.153042689,
            0.15377225,
            0.154501796,
            0.155231357,
            0.155960903,
            0.156690463,
            0.157420009,
            0.15814957,
            0.158879116,
            0.159608677,
            0.160338223,
            0.161067784,
            0.16179733,
            0.162526891,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163164526,
            0.163894072,
            0.164623618,
            0.165353164,
            0.16608271,
            0.166812256,
            0.167541802,
            0.168271348,
            0.169000894,
            0.16973044,
            0.170459986,
            0.171189532,
            0.171919078,
            0.172648624,
            0.17337817,
            0.174107715,
            0.174837261,
            0.175566807,
            0.176296353,
            0.177025914,
            0.17775546,
            0.178485006,
            0.179214552,
            0.179944113,
            0.180673659,
            0.181403205,
            0.182132751,
            0.182862312,
            0.183591858,
            0.184321404,
            0.185050949,
            0.185780495,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186466008,
            0.187438741,
            0.188411489,
            0.189384222,
            0.190356955,
            0.191329688,
            0.192302436,
            0.193275169,
            0.194247901,
            0.195220634,
            0.196193382,
            0.197166115,
            0.198138848,
            0.199111581,
            0.200084329,
            0.201057062,
            0.202064261,
            0.203523353,
            0.20498246,
            0.206441551,
            0.207900643,
            0.209359735,
            0.210818827,
            0.212277934,
            0.213737026,
            0.215196118,
            0.216655225,
            0.218114316,
            0.219573408,
            0.2210325,
            0.222491592,
            0.223950699,
            0.225409791,
            0.226179555,
            0.226909101,
            0.227638647,
            0.228368193,
            0.229097754,
            0.2298273,
            0.230556846,
            0.231286392,
            0.232015952,
            0.232745498,
            0.233475044,
            0.23420459,
            0.234934151,
            0.235663697,
            0.236393243,
            0.237122789,
            0.239246339,
            0.241678178,
            0.244110018,
            0.246541858,
            0.248973697,
            0.251405537,
            0.253837377,
            0.256269217,
            0.258701056,
            0.261132896,
            0.263564736,
            0.265996575,
            0.268428415,
            0.270860255,
            0.273292094,
            0.275723934,
            0.276976228,
            0.277705789,
            0.27843532,
            0.279164881,
            0.279894412,
            0.280623972,
            0.281353503,
            0.282083064,
            0.282812595,
            0.283542156,
            0.284271687,
            0.285001248,
            0.285730779,
            0.28646034,
            0.287189871,
            0.287919432,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288281322,
            0.289010882,
            0.289740413,
            0.290469974,
            0.291199535,
            0.291929066,
            0.292658627,
            0.293388158,
            0.294117719,
            0.29484728,
            0.295576811,
            0.296306372,
            0.297035933,
            0.297765464,
            0.298495024,
            0.299224555,
            0.299954116,
            0.299316466,
            0.298586935,
            0.297857374,
            0.297127843,
            0.296398282,
            0.295668721,
            0.29493919,
            0.294209629,
            0.293480068,
            0.292750537,
            0.292020977,
            0.291291445,
            0.290561885,
            0.289832324,
            0.289102793,
            0.288373232,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.287069231,
            0.285366952,
            0.283664674,
            0.281962395,
            0.280260116,
            0.278557837,
            0.276855528,
            0.27515325,
            0.273450971,
            0.271748692,
            0.270046413,
            0.268344134,
            0.266641855,
            0.264939576,
            0.263237298,
            0.261534989,
            0.259968668,
            0.258509576,
            0.257050455,
            0.255591363,
            0.254132271,
            0.252673149,
            0.251214057,
            0.24975495,
            0.248295844,
            0.246836737,
            0.245377645,
            0.243918538,
            0.242459431,
            0.241000324,
            0.239541233,
            0.238082126,
            0.236623019,
            0.235163927,
            0.23370482,
            0.232245728,
            0.230786622,
            0.22932753,
            0.227868423,
            0.226409331,
            0.224950224,
            0.223491132,
            0.22203204,
            0.220572934,
            0.219113827,
            0.217654735,
            0.216195643,
            0.214736536,
            0.213501468,
            0.212771922,
            0.212042376,
            0.21131283,
            0.210583284,
            0.209853739,
            0.209124193,
            0.208394647,
            0.207665101,
            0.206935555,
            0.206206009,
            0.205476463,
            0.204746917,
            0.204017371,
            0.203287825,
            0.202558279,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.20236297,
            0.203092515,
            0.203822061,
            0.204551607,
            0.205281153,
            0.206010699,
            0.206740245,
            0.207469791,
            0.208199337,
            0.208928883,
            0.209658429,
            0.210387975,
            0.211117521,
            0.211847067,
            0.212576613,
            0.213306159,
            0.214035705,
            0.214765266,
            0.215494812,
            0.216224357,
            0.216953903,
            0.217683464,
            0.21841301,
            0.219142556,
            0.219872102,
            0.220601648,
            0.221331209,
            0.222060755,
            0.222790301,
            0.223519862,
            0.224249408,
            0.224978954,
            0.2257085,
            0.226438046,
            0.227167606,
            0.227897152,
            0.228626698,
            0.229356244,
            0.230085805,
            0.230815351,
            0.231544897,
            0.232274443,
            0.233004004,
            0.23373355,
            0.234463096,
            0.235192642,
            0.235922202,
            0.236651748,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.236582816,
            0.23585327,
            0.235123709,
            0.234394163,
            0.233664617,
            0.232935071,
            0.23220551,
            0.231475964,
            0.230746418,
            0.230016872,
            0.229287311,
            0.228557765,
            0.22782822,
            0.227098674,
            0.226369113,
            0.225639567,
            0.224329829,
            0.222870737,
            0.221411645,
            0.219952539,
            0.218493447,
            0.217034355,
            0.215575263,
            0.214116156,
            0.212657064,
            0.211197972,
            0.20973888,
            0.208279774,
            0.206820682,
            0.20536159,
            0.203902498,
            0.202443391,
            0.201309815,
            0.200337082,
            0.199364349,
            0.198391601,
            0.197418869,
            0.196446136,
            0.195473403,
            0.194500655,
            0.193527922,
            0.192555189,
            0.191582456,
            0.190609723,
            0.189636976,
            0.188664243,
            0.18769151,
            0.186718777,
            0.185878158,
            0.185148612,
            0.184419066,
            0.183689505,
            0.182959959,
            0.182230413,
            0.181500867,
            0.180771306,
            0.18004176,
            0.179312214,
            0.178582668,
            0.177853107,
            0.177123562,
            0.176394016,
            0.17566447,
            0.174934909,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174630463,
            0.175360009,
            0.176089555,
            0.176819101,
            0.177548662,
            0.178278208,
            0.179007754,
            0.1797373,
            0.180466861,
            0.181196406,
            0.181925952,
            0.182655498,
            0.183385059,
            0.184114605,
            0.184844151,
            0.185573697,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.187614903,
            0.189317197,
            0.191019475,
            0.192721754,
            0.194424033,
            0.196126327,
            0.197828606,
            0.199530885,
            0.201233163,
            0.202935457,
            0.204637736,
            0.206340015,
            0.208042294,
            0.209744573,
            0.211446866,
            0.213149145,
            0.214208037,
            0.214937598,
            0.215667143,
            0.216396689,
            0.217126235,
            0.217855796,
            0.218585342,
            0.219314888,
            0.220044434,
            0.220773995,
            0.221503541,
            0.222233087,
            0.222962633,
            0.223692194,
            0.22442174,
            0.225151286,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225788921,
            0.226518482,
            0.227248028,
            0.227977574,
            0.22870712,
            0.229436681,
            0.230166227,
            0.230895773,
            0.231625319,
            0.232354879,
            0.233084425,
            0.233813971,
            0.234543517,
            0.235273063,
            0.236002624,
            0.23673217,
            0.237461716,
            0.238191262,
            0.238920823,
            0.239650369,
            0.240379915,
            0.241109461,
            0.241839021,
            0.242568567,
            0.243298113,
            0.244027659,
            0.24475722,
            0.245486766,
            0.246216312,
            0.246945858,
            0.247675419,
            0.248404965,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.24835901,
            0.247629464,
            0.246899903,
            0.246170357,
            0.245440811,
            0.244711265,
            0.243981704,
            0.243252158,
            0.242522612,
            0.241793066,
            0.241063505,
            0.240333959,
            0.239604414,
            0.238874868,
            0.238145307,
            0.237415761,
            0.236686215,
            0.235956669,
            0.235227108,
            0.234497562,
            0.233768016,
            0.23303847,
            0.232308909,
            0.231579363,
            0.230849817,
            0.230120271,
            0.229390711,
            0.228661165,
            0.227931619,
            0.227202073,
            0.226472527,
            0.225742966,
            0.224536628,
            0.223077536,
            0.221618444,
            0.220159337,
            0.218700245,
            0.217241153,
            0.215782061,
            0.214322954,
            0.212863863,
            0.211404771,
            0.209945679,
            0.208486587,
            0.20702748,
            0.205568388,
            0.204109296,
            0.202650204,
            0.201447681,
            0.200474948,
            0.199502215,
            0.198529482,
            0.197556734,
            0.196584001,
            0.195611268,
            0.194638535,
            0.193665788,
            0.192693055,
            0.191720322,
            0.190747589,
            0.189774841,
            0.188802108,
            0.187829375,
            0.186856642,
            0.185981557,
            0.185252011,
            0.184522465,
            0.183792904,
            0.183063358,
            0.182333812,
            0.181604266,
            0.180874705,
            0.180145159,
            0.179415613,
            0.178686067,
            0.177956522,
            0.177226961,
            0.176497415,
            0.175767869,
            0.175038323,
            0.173906654,
            0.171718001,
            0.169529349,
            0.167340711,
            0.165152058,
            0.162963405,
            0.160774767,
            0.158586115,
            0.156397462,
            0.154208809,
            0.152020156,
            0.149831519,
            0.147642866,
            0.145454213,
            0.143265575,
            0.141076922,
            0.139070183,
            0.13809745,
            0.137124717,
            0.136151984,
            0.135179251,
            0.134206519,
            0.133233786,
            0.132261053,
            0.13128832,
            0.130315587,
            0.129342854,
            0.128370121,
            0.127397388,
            0.126424655,
            0.125451922,
            0.12447919,
            0.123512201,
            0.122782648,
            0.122053102,
            0.121323556,
            0.120594002,
            0.119864456,
            0.119134903,
            0.118405357,
            0.117675804,
            0.116946258,
            0.116216704,
            0.115487158,
            0.114757605,
            0.114028059,
            0.113298506,
            0.11256896,
            0.111839406,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111201771,
            0.110472217,
            0.109742671,
            0.109013118,
            0.108283572,
            0.107554018,
            0.106824473,
            0.106094919,
            0.105365373,
            0.10463582,
            0.103906274,
            0.103176728,
            0.102447174,
            0.101717621,
            0.100988075,
            0.100258529,
            0.0995289758,
            0.0987994298,
            0.0980698764,
            0.0973403305,
            0.0966107771,
            0.0958812311,
            0.0951516777,
            0.0944221318,
            0.0936925784,
            0.0929630324,
            0.092233479,
            0.0915039331,
            0.0907743797,
            0.0900448337,
            0.0893152803,
            0.0885857344,
            0.087856181,
            0.087126635,
            0.0863970816,
            0.0856675357,
            0.0849379823,
            0.0842084363,
            0.0834788829,
            0.082749337,
            0.0820197836,
            0.0812902376,
            0.0805606842,
            0.0798311383,
            0.0791015849,
            0.0783720389,
            0.0776424855,
            0.0769129395,
            0.0760876462,
            0.0751149133,
            0.0741421804,
            0.0731694475,
            0.0721967146,
            0.0712239817,
            0.0702512488,
            0.0692785159,
            0.068305783,
            0.0673330501,
            0.0663603172,
            0.0653875843,
            0.0644148514,
            0.0634421185,
            0.0624693893,
            0.0614966564,
            0.0605890267,
            0.059859477,
            0.0591299273,
            0.0584003776,
            0.057670828,
            0.0569412783,
            0.0562117286,
            0.0554821789,
            0.0547526293,
            0.0540230796,
            0.0532935336,
            0.0525639802,
            0.0518344343,
            0.0511048809,
            0.0503753349,
            0.0496457815,
            0.0488128327,
            0.0473537333,
            0.045894634,
            0.0444355346,
            0.0429764353,
            0.0415173359,
            0.0400582403,
            0.0385991409,
            0.0371400416,
            0.0356809422,
            0.0342218429,
            0.0327627435,
            0.0313036442,
            0.0298445448,
            0.0283854455,
            0.0269263461,
            0.0254519284,
            0.0230200961,
            0.0205882639,
            0.0181564316,
            0.0157245994,
            0.013292768,
            0.0108609358,
            0.00842910446,
            0.00599727221,
            0.00356543995,
            0.0011336077,
            -0.00129822455,
            -0.00373005494,
            -0.0061618872,
            -0.00859371945,
            -0.0110255517,
            -0.013457384,
            -0.015023713,
            -0.0164828114,
            -0.0179419108,
            -0.0194010101,
            -0.0208601095,
            -0.0223192088,
            -0.0237783082,
            -0.0252374075,
            -0.0266965069,
            -0.0281556062,
            -0.0296147056,
            -0.0310738049,
            -0.0325329006,
            -0.0339919999,
            -0.0354510993,
            -0.0369101986,
            -0.0383693017,
            -0.0398283973,
            -0.0412874967,
            -0.042746596,
            -0.0442056954,
            -0.0456647947,
            -0.0471238941,
            -0.0485829934,
            -0.0500420928,
            -0.0515011922,
            -0.0529602915,
            -0.0544193909,
            -0.0558784902,
            -0.0573375896,
            -0.0587966889,
            -0.0602557883,
            -0.0614046864,
            -0.0623774156,
            -0.0633501485,
            -0.0643228814,
            -0.0652956143,
            -0.0662683472,
            -0.0672410801,
            -0.068213813,
            -0.0691865459,
            -0.0701592788,
            -0.0711320117,
            -0.0721047446,
            -0.0730774775,
            -0.0740502104,
            -0.0750229433,
            -0.0759956762,
            -0.0768439472,
            -0.0775734931,
            -0.0783030465,
            -0.0790325925,
            -0.0797621459,
            -0.0804916918,
            -0.0812212452,
            -0.0819507912,
            -0.0826803446,
            -0.0834098905,
            -0.0841394439,
            -0.0848689899,
            -0.0855985433,
            -0.0863280892,
            -0.0870576426,
            -0.0877871886,
            -0.088516742,
            -0.0892462879,
            -0.0899758413,
            -0.0907053873,
            -0.0914349407,
            -0.0921644866,
            -0.0928940326,
            -0.093623586,
            -0.0943531394,
            -0.0950826854,
            -0.0958122313,
            -0.0965417847,
            -0.0972713307,
            -0.0980008841,
            -0.09873043,
            -0.0994599834,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0994484946,
            -0.0987189412,
            -0.0979893953,
            -0.0972598419,
            -0.0965302959,
            -0.0958007425,
            -0.0950711966,
            -0.0943416432,
            -0.0936120972,
            -0.0928825438,
            -0.0921529979,
            -0.0914234519,
            -0.0906938985,
            -0.0899643451,
            -0.0892347991,
            -0.0885052532,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.088602908,
            -0.0893324539,
            -0.0900620073,
            -0.0907915533,
            -0.0915211067,
            -0.0922506526,
            -0.092980206,
            -0.093709752,
            -0.0944393054,
            -0.0951688513,
            -0.0958984047,
            -0.0966279507,
            -0.0973575041,
            -0.09808705,
            -0.0988166034,
            -0.0995461494,
            -0.100551434,
            -0.102010533,
            -0.103469633,
            -0.104928732,
            -0.106387831,
            -0.107846931,
            -0.10930603,
            -0.110765129,
            -0.112224229,
            -0.113683328,
            -0.115142427,
            -0.116601527,
            -0.118060626,
            -0.119519725,
            -0.120978825,
            -0.122437924,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375
          ],
          [
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111127004,
            -0.110397458,
            -0.109667905,
            -0.108938359,
            -0.108208813,
            -0.107479267,
            -0.106749713,
            -0.106020167,
            -0.105290622,
            -0.104561076,
            -0.10383153,
            -0.103101976,
            -0.10237243,
            -0.101642884,
            -0.100913331,
            -0.100183785,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100453779,
            -0.101183325,
            -0.101912871,
            -0.102642417,
            -0.10337197,
            -0.104101516,
            -0.104831062,
            -0.105560608,
            -0.106290162,
            -0.107019708,
            -0.107749254,
            -0.108478799,
            -0.109208353,
            -0.109937899,
            -0.110667445,
            -0.111396991,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111586563,
            -0.11085701,
            -0.110127464,
            -0.109397918,
            -0.108668372,
            -0.107938826,
            -0.107209273,
            -0.106479727,
            -0.105750181,
            -0.105020635,
            -0.104291081,
            -0.103561535,
            -0.10283199,
            -0.102102444,
            -0.10137289,
            -0.100643344,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100723766,
            -0.101453312,
            -0.102182865,
            -0.102912411,
            -0.103641957,
            -0.104371503,
            -0.105101056,
            -0.105830602,
            -0.106560148,
            -0.107289694,
            -0.108019248,
            -0.108748794,
            -0.10947834,
            -0.110207886,
            -0.110937439,
            -0.111666985,
            -0.112396538,
            -0.113126084,
            -0.113855638,
            -0.114585191,
            -0.115314737,
            -0.11604429,
            -0.116773844,
            -0.117503397,
            -0.118232943,
            -0.118962497,
            -0.11969205,
            -0.120421603,
            -0.121151149,
            -0.121880703,
            -0.122610256,
            -0.123339802,
            -0.124249354,
            -0.125222087,
            -0.12619482,
            -0.127167553,
            -0.128140286,
            -0.129113019,
            -0.130085766,
            -0.131058499,
            -0.132031232,
            -0.133003965,
            -0.133976698,
            -0.134949431,
            -0.135922164,
            -0.136894897,
            -0.13786763,
            -0.138840377,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139571831,
            -0.140301391,
            -0.141030937,
            -0.141760483,
            -0.142490029,
            -0.14321959,
            -0.143949136,
            -0.144678682,
            -0.145408228,
            -0.146137789,
            -0.146867335,
            -0.147596881,
            -0.148326427,
            -0.149055988,
            -0.149785534,
            -0.150515079,
            -0.151508883,
            -0.152967975,
            -0.154427081,
            -0.155886173,
            -0.157345265,
            -0.158804372,
            -0.160263479,
            -0.161722571,
            -0.163181663,
            -0.164640769,
            -0.166099861,
            -0.167558968,
            -0.16901806,
            -0.170477167,
            -0.171936259,
            -0.173395365,
            -0.174682125,
            -0.175411671,
            -0.176141232,
            -0.176870778,
            -0.177600324,
            -0.17832987,
            -0.179059431,
            -0.179788977,
            -0.180518523,
            -0.181248069,
            -0.18197763,
            -0.182707176,
            -0.183436722,
            -0.184166268,
            -0.184895828,
            -0.185625374,
            -0.18635492,
            -0.187084466,
            -0.187814027,
            -0.188543573,
            -0.189273119,
            -0.190002665,
            -0.190732226,
            -0.191461772,
            -0.192191318,
            -0.192920864,
            -0.193650424,
            -0.19437997,
            -0.195109516,
            -0.195839062,
            -0.196568608,
            -0.197298169,
            -0.198027715,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197326884,
            -0.196597338,
            -0.195867792,
            -0.195138246,
            -0.194408685,
            -0.193679139,
            -0.192949593,
            -0.192220047,
            -0.191490486,
            -0.19076094,
            -0.190031394,
            -0.189301848,
            -0.188572288,
            -0.187842742,
            -0.187113196,
            -0.18638365,
            -0.185654089,
            -0.184924543,
            -0.184194997,
            -0.183465451,
            -0.18273589,
            -0.182006344,
            -0.181276798,
            -0.180547252,
            -0.179817691,
            -0.179088145,
            -0.1783586,
            -0.177629054,
            -0.176899493,
            -0.176169947,
            -0.175440401,
            -0.174710855,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174854457,
            -0.175584018,
            -0.176313564,
            -0.17704311,
            -0.177772656,
            -0.178502217,
            -0.179231763,
            -0.179961309,
            -0.180690855,
            -0.181420416,
            -0.182149962,
            -0.182879508,
            -0.183609053,
            -0.184338599,
            -0.18506816,
            -0.185797706,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186205566,
            -0.18547602,
            -0.184746459,
            -0.184016913,
            -0.183287367,
            -0.182557821,
            -0.18182826,
            -0.181098714,
            -0.180369169,
            -0.179639623,
            -0.178910077,
            -0.178180516,
            -0.17745097,
            -0.176721424,
            -0.175991863,
            -0.175262317,
            -0.174532771,
            -0.173803225,
            -0.173073679,
            -0.172344118,
            -0.171614572,
            -0.170885026,
            -0.170155481,
            -0.16942592,
            -0.168696374,
            -0.167966828,
            -0.167237282,
            -0.166507721,
            -0.165778175,
            -0.165048629,
            -0.164319083,
            -0.163589522,
            -0.162859976,
            -0.161515772,
            -0.160056666,
            -0.158597574,
            -0.157138467,
            -0.155679375,
            -0.154220268,
            -0.152761176,
            -0.151302069,
            -0.149842978,
            -0.148383871,
            -0.146924779,
            -0.145465672,
            -0.14400658,
            -0.142547473,
            -0.141088381,
            -0.139629275,
            -0.137995929,
            -0.13629365,
            -0.134591356,
            -0.132889077,
            -0.131186783,
            -0.129484504,
            -0.127782211,
            -0.126079932,
            -0.124377638,
            -0.122675359,
            -0.120973065,
            -0.119270787,
            -0.117568493,
            -0.115866214,
            -0.11416392,
            -0.112461641,
            -0.110902965,
            -0.109443873,
            -0.107984774,
            -0.106525674,
            -0.105066583,
            -0.103607483,
            -0.102148384,
            -0.100689285,
            -0.0992301852,
            -0.0977710932,
            -0.0963119939,
            -0.0948528945,
            -0.0933938026,
            -0.0919347033,
            -0.0904756039,
            -0.089016512,
            -0.0874444321,
            -0.0857421532,
            -0.0840398669,
            -0.0823375881,
            -0.0806353092,
            -0.0789330229,
            -0.0772307366,
            -0.0755284578,
            -0.0738261789,
            -0.0721238926,
            -0.0704216138,
            -0.0687193274,
            -0.0670170486,
            -0.0653147623,
            -0.0636124834,
            -0.0619101971,
            -0.0605372675,
            -0.0598077178,
            -0.0590781681,
            -0.0583486184,
            -0.0576190688,
            -0.0568895191,
            -0.0561599694,
            -0.0554304197,
            -0.0547008701,
            -0.0539713204,
            -0.0532417707,
            -0.052512221,
            -0.0517826714,
            -0.0510531217,
            -0.050323572,
            -0.0495940223,
            -0.0488644727,
            -0.048134923,
            -0.0474053733,
            -0.0466758236,
            -0.045946274,
            -0.0452167243,
            -0.0444871783,
            -0.0437576249,
            -0.043028079,
            -0.0422985293,
            -0.0415689796,
            -0.0408394262,
            -0.0401098803,
            -0.0393803306,
            -0.0386507809,
            -0.0379212312,
            -0.0371284895,
            -0.0356693938,
            -0.0342102945,
            -0.0327511951,
            -0.0312920958,
            -0.0298329964,
            -0.0283738971,
            -0.0269147977,
            -0.0254556984,
            -0.023996599,
            -0.0225374997,
            -0.0210784003,
            -0.019619301,
            -0.0181602016,
            -0.0167011023,
            -0.0152420029,
            -0.0137829036,
            -0.0113893691,
            -0.00895753689,
            -0.0065257051,
            -0.00409387331,
            -0.00166204106,
            0.000769791193,
            0.00320162252,
            0.00563345477,
            0.00806528702,
            0.0104971193,
            0.0129289515,
            0.0153607819,
            0.017792616,
            0.0202244483,
            0.0226562768,
            0.0250881091,
            0.0267080553,
            0.0281671546,
            0.029626254,
            0.0310853533,
            0.0325444527,
            0.034003552,
            0.0354626514,
            0.0369217508,
            0.0383808464,
            0.0398399457,
            0.0412990451,
            0.0427581444,
            0.0442172438,
            0.0456763431,
            0.0471354425,
            0.0485945418,
            0.0502259769,
            0.0519282594,
            0.053630542,
            0.0553328246,
            0.0570351072,
            0.0587373897,
            0.0604396686,
            0.0621419549,
            0.0638442338,
            0.0655465201,
            0.0672487989,
            0.0689510852,
            0.0706533641,
            0.0723556429,
            0.0740579292,
            0.0757602155,
            0.0773207992,
            0.0787798986,
            0.0802389979,
            0.0816980973,
            0.0831571966,
            0.084616296,
            0.0860753953,
            0.0875344947,
            0.0889935941,
            0.090452686,
            0.0919117928,
            0.0933708847,
            0.0948299915,
            0.0962890834,
            0.0977481902,
            0.0992072821,
            0.100666381,
            0.102125481,
            0.10358458,
            0.105043679,
            0.106502779,
            0.107961878,
            0.109420978,
            0.110880077,
            0.112339176,
            0.113798276,
            0.115257375,
            0.116716474,
            0.118175574,
            0.119634673,
            0.121093772,
            0.122552872,
            0.123851128,
            0.124823861,
            0.125796586,
            0.126769319,
            0.127742052,
            0.128714785,
            0.129687518,
            0.130660251,
            0.131632984,
            0.132605717,
            0.133578449,
            0.134551182,
            0.135523915,
            0.136496648,
            0.137469381,
            0.138442114,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139818877,
            0.140548423,
            0.141277984,
            0.14200753,
            0.142737076,
            0.143466622,
            0.144196182,
            0.144925728,
            0.145655274,
            0.14638482,
            0.147114381,
            0.147843927,
            0.148573473,
            0.149303019,
            0.15003258,
            0.150762126,
            0.151491672,
            0.152221233,
            0.152950779,
            0.153680339,
            0.154409885,
            0.155139446,
            0.155868992,
            0.156598553,
            0.157328099,
            0.15805766,
            0.158787206,
            0.159516767,
            0.160246313,
            0.160975873,
            0.161705419,
            0.16243498,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163072616,
            0.163802162,
            0.164531708,
            0.165261254,
            0.1659908,
            0.166720346,
            0.167449892,
            0.168179438,
            0.168908983,
            0.169638529,
            0.170368075,
            0.171097621,
            0.171827167,
            0.172556713,
            0.173286259,
            0.174015805,
            0.174745351,
            0.175474897,
            0.176204443,
            0.176933989,
            0.17766355,
            0.178393096,
            0.179122642,
            0.179852188,
            0.180581748,
            0.181311294,
            0.18204084,
            0.182770386,
            0.183499947,
            0.184229493,
            0.184959039,
            0.185688585,
            0.186466008,
            0.187438741,
            0.188411489,
            0.189384222,
            0.190356955,
            0.191329688,
            0.192302436,
            0.193275169,
            0.194247901,
            0.195220634,
            0.196193382,
            0.197166115,
            0.198138848,
            0.199111581,
            0.200084329,
            0.201057062,
            0.202012569,
            0.202742115,
            0.203471661,
            0.204201207,
            0.204930753,
            0.205660298,
            0.206389844,
            0.207119375,
            0.207848936,
            0.208578467,
            0.209308028,
            0.210037559,
            0.21076712,
            0.211496651,
            0.212226212,
            0.212955743,
            0.213685304,
            0.215104178,
            0.216563284,
            0.218022376,
            0.219481483,
            0.220940575,
            0.222399682,
            0.223858774,
            0.225317881,
            0.226776972,
            0.228236079,
            0.229695171,
            0.231154278,
            0.23261337,
            0.234072477,
            0.235531569,
            0.236990675,
            0.238449767,
            0.239908874,
            0.241367981,
            0.242827088,
            0.24428618,
            0.245745286,
            0.247204393,
            0.2486635,
            0.250122607,
            0.251581699,
            0.253040791,
            0.254499912,
            0.255959004,
            0.257418096,
            0.258877218,
            0.26033631,
            0.261458397,
            0.262431145,
            0.263403893,
            0.264376611,
            0.265349358,
            0.266322106,
            0.267294824,
            0.268267572,
            0.26924029,
            0.270213038,
            0.271185786,
            0.272158504,
            0.273131251,
            0.274103999,
            0.275076717,
            0.276049465,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.275804371,
            0.274831623,
            0.273858875,
            0.272886157,
            0.271913409,
            0.270940661,
            0.269967943,
            0.268995196,
            0.268022478,
            0.26704973,
            0.266076982,
            0.265104264,
            0.264131516,
            0.263158798,
            0.26218605,
            0.261213303,
            0.259968668,
            0.258509576,
            0.257050455,
            0.255591363,
            0.254132271,
            0.252673149,
            0.251214057,
            0.24975495,
            0.248295844,
            0.246836737,
            0.245377645,
            0.243918538,
            0.242459431,
            0.241000324,
            0.239541233,
            0.238082126,
            0.236623019,
            0.235163927,
            0.23370482,
            0.232245728,
            0.230786622,
            0.22932753,
            0.227868423,
            0.226409331,
            0.224950224,
            0.223491132,
            0.22203204,
            0.220572934,
            0.219113827,
            0.217654735,
            0.216195643,
            0.214736536,
            0.213501468,
            0.212771922,
            0.212042376,
            0.21131283,
            0.210583284,
            0.209853739,
            0.209124193,
            0.208394647,
            0.207665101,
            0.206935555,
            0.206206009,
            0.205476463,
            0.204746917,
            0.204017371,
            0.203287825,
            0.202558279,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201907247,
            0.200934514,
            0.199961767,
            0.198989034,
            0.198016301,
            0.197043568,
            0.19607082,
            0.195098087,
            0.194125354,
            0.193152621,
            0.192179888,
            0.191207141,
            0.190234408,
            0.189261675,
            0.188288942,
            0.187316194,
            0.186343461,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185688585,
            0.184959039,
            0.184229493,
            0.183499947,
            0.182770386,
            0.18204084,
            0.181311294,
            0.180581748,
            0.179852188,
            0.179122642,
            0.178393096,
            0.17766355,
            0.176934004,
            0.176204443,
            0.175474897,
            0.174745351,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174911931,
            0.175641492,
            0.176371038,
            0.177100584,
            0.17783013,
            0.178559691,
            0.179289237,
            0.180018783,
            0.180748329,
            0.181477889,
            0.182207435,
            0.182936981,
            0.183666527,
            0.184396088,
            0.185125634,
            0.18585518,
            0.18668814,
            0.187660873,
            0.188633606,
            0.189606339,
            0.190579087,
            0.191551819,
            0.192524552,
            0.193497285,
            0.194470018,
            0.195442766,
            0.196415499,
            0.197388232,
            0.198360965,
            0.199333712,
            0.200306445,
            0.201279178,
            0.202179149,
            0.202908695,
            0.203638241,
            0.204367787,
            0.205097333,
            0.205826879,
            0.206556424,
            0.20728597,
            0.208015516,
            0.208745062,
            0.209474608,
            0.210204154,
            0.2109337,
            0.211663246,
            0.212392792,
            0.213122338,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213053405,
            0.212323859,
            0.211594313,
            0.210864767,
            0.210135221,
            0.209405676,
            0.20867613,
            0.207946584,
            0.207217038,
            0.206487492,
            0.205757946,
            0.2050284,
            0.204298854,
            0.203569308,
            0.202839762,
            0.202110216,
            0.200607076,
            0.198904783,
            0.197202504,
            0.19550021,
            0.193797931,
            0.192095637,
            0.190393358,
            0.18869108,
            0.186988786,
            0.185286492,
            0.183584213,
            0.181881934,
            0.180179641,
            0.178477362,
            0.176775068,
            0.175072789,
            0.174021542,
            0.173291996,
            0.17256245,
            0.171832904,
            0.171103358,
            0.170373812,
            0.169644266,
            0.16891472,
            0.168185174,
            0.167455629,
            0.166726083,
            0.165996537,
            0.165266991,
            0.164537445,
            0.163807899,
            0.163078353,
            0.162348807,
            0.161619246,
            0.1608897,
            0.160160139,
            0.159430593,
            0.158701032,
            0.157971486,
            0.15724194,
            0.15651238,
            0.155782834,
            0.155053273,
            0.154323727,
            0.153594166,
            0.15286462,
            0.152135059,
            0.151405513,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151192963,
            0.151922509,
            0.15265207,
            0.153381616,
            0.154111177,
            0.154840723,
            0.155570284,
            0.156299829,
            0.15702939,
            0.157758936,
            0.158488497,
            0.159218043,
            0.159947604,
            0.16067715,
            0.161406711,
            0.162136257,
            0.162865818,
            0.163595363,
            0.164324909,
            0.165054455,
            0.165784001,
            0.166513547,
            0.167243093,
            0.167972639,
            0.168702185,
            0.169431731,
            0.170161277,
            0.170890823,
            0.171620369,
            0.1723499,
            0.173079461,
            0.173808992,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.175084278,
            0.175813824,
            0.17654337,
            0.177272916,
            0.178002477,
            0.178732023,
            0.179461569,
            0.180191115,
            0.180920675,
            0.181650221,
            0.182379767,
            0.183109313,
            0.183838874,
            0.18456842,
            0.185297966,
            0.186027512,
            0.186917916,
            0.187890649,
            0.188863382,
            0.18983613,
            0.190808862,
            0.191781595,
            0.192754328,
            0.193727076,
            0.194699809,
            0.195672542,
            0.196645275,
            0.197618008,
            0.198590755,
            0.199563488,
            0.200536221,
            0.201508954,
            0.202351481,
            0.203081027,
            0.203810573,
            0.204540119,
            0.205269665,
            0.20599921,
            0.206728756,
            0.207458302,
            0.208187848,
            0.208917394,
            0.20964694,
            0.210376486,
            0.211106032,
            0.211835578,
            0.212565124,
            0.21329467,
            0.214024216,
            0.214753777,
            0.215483323,
            0.216212869,
            0.216942415,
            0.217671975,
            0.218401521,
            0.219131067,
            0.219860613,
            0.220590174,
            0.22131972,
            0.222049266,
            0.222778812,
            0.223508358,
            0.224237919,
            0.224967465,
            0.225697011,
            0.226426557,
            0.227156118,
            0.227885664,
            0.228615209,
            0.229344755,
            0.230074316,
            0.230803862,
            0.231533408,
            0.232262954,
            0.232992515,
            0.233722061,
            0.234451607,
            0.235181153,
            0.235910714,
            0.23664026,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.236594304,
            0.235864758,
            0.235135198,
            0.234405652,
            0.233676106,
            0.23294656,
            0.232216999,
            0.231487453,
            0.230757907,
            0.230028361,
            0.2292988,
            0.228569254,
            0.227839708,
            0.227110162,
            0.226380602,
            0.225651056,
            0.22492151,
            0.224191964,
            0.223462403,
            0.222732857,
            0.222003311,
            0.221273765,
            0.220544204,
            0.219814658,
            0.219085112,
            0.218355566,
            0.217626005,
            0.216896459,
            0.216166914,
            0.215437368,
            0.214707822,
            0.213978261,
            0.212612987,
            0.210910708,
            0.209208429,
            0.20750615,
            0.205803856,
            0.204101577,
            0.202399299,
            0.20069702,
            0.198994726,
            0.197292447,
            0.195590168,
            0.193887889,
            0.192185611,
            0.190483317,
            0.188781038,
            0.187078759,
            0.185889646,
            0.1851601,
            0.184430555,
            0.183700994,
            0.182971448,
            0.182241902,
            0.181512356,
            0.180782795,
            0.180053249,
            0.179323703,
            0.178594157,
            0.177864596,
            0.17713505,
            0.176405504,
            0.175675958,
            0.174946398,
            0.174216852,
            0.173487306,
            0.17275776,
            0.172028214,
            0.171298668,
            0.170569122,
            0.169839576,
            0.16911003,
            0.168380484,
            0.167650938,
            0.166921392,
            0.166191846,
            0.1654623,
            0.164732754,
            0.164003208,
            0.163273662,
            0.16234307,
            0.160883963,
            0.159424856,
            0.15796575,
            0.156506658,
            0.155047551,
            0.153588444,
            0.152129337,
            0.150670245,
            0.149211138,
            0.147752032,
            0.146292925,
            0.144833833,
            0.143374726,
            0.141915619,
            0.140456527,
            0.139070183,
            0.13809745,
            0.137124717,
            0.136151984,
            0.135179251,
            0.134206519,
            0.133233786,
            0.132261053,
            0.13128832,
            0.130315587,
            0.129342854,
            0.128370121,
            0.127397388,
            0.126424655,
            0.125451922,
            0.12447919,
            0.123512201,
            0.122782648,
            0.122053102,
            0.121323556,
            0.120594002,
            0.119864456,
            0.119134903,
            0.118405357,
            0.117675804,
            0.116946258,
            0.116216704,
            0.115487158,
            0.114757605,
            0.114028059,
            0.113298506,
            0.11256896,
            0.111839406,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111201771,
            0.110472217,
            0.109742671,
            0.109013118,
            0.108283572,
            0.107554018,
            0.106824473,
            0.106094919,
            0.105365373,
            0.10463582,
            0.103906274,
            0.103176728,
            0.102447174,
            0.101717621,
            0.100988075,
            0.100258529,
            0.0995289758,
            0.0987994298,
            0.0980698764,
            0.0973403305,
            0.0966107771,
            0.0958812311,
            0.0951516777,
            0.0944221318,
            0.0936925784,
            0.0929630324,
            0.092233479,
            0.0915039331,
            0.0907743797,
            0.0900448337,
            0.0893152803,
            0.0885857344,
            0.087856181,
            0.087126635,
            0.0863970816,
            0.0856675357,
            0.0849379823,
            0.0842084363,
            0.0834788829,
            0.082749337,
            0.0820197836,
            0.0812902376,
            0.0805606842,
            0.0798311383,
            0.0791015849,
            0.0783720389,
            0.0776424855,
            0.0769129395,
            0.0760876462,
            0.0751149133,
            0.0741421804,
            0.0731694475,
            0.0721967146,
            0.0712239817,
            0.0702512488,
            0.0692785159,
            0.068305783,
            0.0673330501,
            0.0663603172,
            0.0653875843,
            0.0644148514,
            0.0634421185,
            0.0624693893,
            0.0614966564,
            0.0605890267,
            0.059859477,
            0.0591299273,
            0.0584003776,
            0.057670828,
            0.0569412783,
            0.0562117286,
            0.0554821789,
            0.0547526293,
            0.0540230796,
            0.0532935336,
            0.0525639802,
            0.0518344343,
            0.0511048809,
            0.0503753349,
            0.0496457815,
            0.0488128327,
            0.0473537333,
            0.045894634,
            0.0444355346,
            0.0429764353,
            0.0415173359,
            0.0400582403,
            0.0385991409,
            0.0371400416,
            0.0356809422,
            0.0342218429,
            0.0327627435,
            0.0313036442,
            0.0298445448,
            0.0283854455,
            0.0269263461,
            0.0254672468,
            0.0240081474,
            0.0225490481,
            0.0210899487,
            0.0196308494,
            0.01817175,
            0.0167126507,
            0.0152535522,
            0.0137944529,
            0.0123353535,
            0.0108762551,
            0.00941715576,
            0.00795805641,
            0.00649895705,
            0.0050398577,
            0.00358075835,
            0.002121659,
            0.000446184771,
            -0.00125609757,
            -0.00295838015,
            -0.00466066226,
            -0.00636294484,
            -0.00806522742,
            -0.00976750907,
            -0.0114697916,
            -0.0131720742,
            -0.0148743559,
            -0.0165766384,
            -0.018278921,
            -0.0199812036,
            -0.0216834862,
            -0.0233857688,
            -0.0250880513,
            -0.0266045947,
            -0.028063694,
            -0.0295227934,
            -0.0309818927,
            -0.0324409902,
            -0.0339000896,
            -0.0353591889,
            -0.0368182883,
            -0.0382773876,
            -0.039736487,
            -0.0411955863,
            -0.0426546857,
            -0.044113785,
            -0.0455728844,
            -0.0470319837,
            -0.0484910831,
            -0.0494848788,
            -0.0502144285,
            -0.0509439781,
            -0.0516735278,
            -0.0524030775,
            -0.0531326272,
            -0.0538621768,
            -0.0545917265,
            -0.0553212762,
            -0.0560508259,
            -0.0567803755,
            -0.0575099252,
            -0.0582394749,
            -0.0589690208,
            -0.0596985742,
            -0.0604281202,
            -0.0612821355,
            -0.0622548684,
            -0.0632276013,
            -0.0642003343,
            -0.0651730672,
            -0.0661458001,
            -0.067118533,
            -0.0680912659,
            -0.0690639988,
            -0.0700367317,
            -0.0710094646,
            -0.0719821975,
            -0.0729549304,
            -0.0739276633,
            -0.0749003962,
            -0.0758731291,
            -0.0767520368,
            -0.0774815828,
            -0.0782111362,
            -0.0789406821,
            -0.0796702355,
            -0.0803997815,
            -0.0811293274,
            -0.0818588808,
            -0.0825884342,
            -0.0833179802,
            -0.0840475261,
            -0.0847770795,
            -0.0855066255,
            -0.0862361789,
            -0.0869657248,
            -0.0876952782,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0876837894,
            -0.086954236,
            -0.0862246901,
            -0.0854951367,
            -0.0847655907,
            -0.0840360373,
            -0.0833064914,
            -0.082576938,
            -0.081847392,
            -0.0811178386,
            -0.0803882927,
            -0.0796587467,
            -0.0789291933,
            -0.0781996399,
            -0.077470094,
            -0.076740548,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0768382028,
            -0.0775677487,
            -0.0782973021,
            -0.0790268481,
            -0.0797564015,
            -0.0804859474,
            -0.0812155008,
            -0.0819450468,
            -0.0826746002,
            -0.0834041461,
            -0.0841336995,
            -0.0848632455,
            -0.0855927989,
            -0.0863223448,
            -0.0870518982,
            -0.0877814442,
            -0.0887867287,
            -0.090245828,
            -0.0917049199,
            -0.0931640193,
            -0.0946231186,
            -0.096082218,
            -0.0975413099,
            -0.0990004092,
            -0.100459509,
            -0.101918608,
            -0.1033777,
            -0.104836799,
            -0.106295899,
            -0.10775499,
            -0.10921409,
            -0.110673189,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464
          ],
          [
            -0.11176464,
            -0.111035094,
            -0.110305548,
            -0.109575994,
            -0.108846448,
            -0.108116902,
            -0.107387356,
            -0.106657803,
            -0.105928257,
            -0.105198711,
            -0.104469165,
            -0.103739612,
            -0.103010066,
            -0.10228052,
            -0.101550974,
            -0.100821421,
            -0.100091875,
            -0.0993623286,
            -0.0986327752,
            -0.0979032293,
            -0.0971736759,
            -0.0964441299,
            -0.0957145765,
            -0.0949850306,
            -0.0942554772,
            -0.0935259312,
            -0.0927963778,
            -0.0920668319,
            -0.0913372785,
            -0.0906077325,
            -0.0898781791,
            -0.0891486332,
            -0.0884190798,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0886890739,
            -0.0894186199,
            -0.0901481733,
            -0.0908777192,
            -0.0916072726,
            -0.0923368186,
            -0.093066372,
            -0.0937959179,
            -0.0945254713,
            -0.0952550173,
            -0.0959845707,
            -0.0967141166,
            -0.09744367,
            -0.098173216,
            -0.0989027694,
            -0.0996323153,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0998218879,
            -0.0990923345,
            -0.0983627886,
            -0.0976332352,
            -0.0969036892,
            -0.0961741358,
            -0.0954445899,
            -0.0947150365,
            -0.0939854905,
            -0.0932559371,
            -0.0925263911,
            -0.0917968377,
            -0.0910672918,
            -0.0903377384,
            -0.0896081924,
            -0.088878639,
            -0.088321425,
            -0.0890509784,
            -0.0897805244,
            -0.0905100778,
            -0.0912396237,
            -0.0919691771,
            -0.0926987231,
            -0.0934282765,
            -0.0941578224,
            -0.0948873758,
            -0.0956169218,
            -0.0963464677,
            -0.0970760211,
            -0.0978055745,
            -0.0985351205,
            -0.0992646664,
            -0.0999942198,
            -0.100723766,
            -0.101453312,
            -0.102182865,
            -0.102912411,
            -0.103641957,
            -0.104371503,
            -0.105101056,
            -0.105830602,
            -0.106560148,
            -0.107289694,
            -0.108019248,
            -0.108748794,
            -0.10947834,
            -0.110207886,
            -0.110937439,
            -0.111666985,
            -0.112396538,
            -0.113126084,
            -0.113855638,
            -0.114585191,
            -0.115314737,
            -0.11604429,
            -0.116773844,
            -0.117503397,
            -0.118232943,
            -0.118962497,
            -0.11969205,
            -0.120421603,
            -0.121151149,
            -0.121880703,
            -0.122610256,
            -0.123339802,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.124004252,
            -0.124976985,
            -0.125949726,
            -0.126922458,
            -0.127895191,
            -0.128867924,
            -0.129840657,
            -0.13081339,
            -0.131786138,
            -0.132758871,
            -0.133731604,
            -0.134704337,
            -0.135677069,
            -0.136649802,
            -0.137622535,
            -0.138595268,
            -0.139744177,
            -0.141203269,
            -0.142662376,
            -0.144121468,
            -0.14558056,
            -0.147039667,
            -0.148498774,
            -0.149957865,
            -0.151416957,
            -0.152876064,
            -0.154335156,
            -0.155794263,
            -0.157253355,
            -0.158712462,
            -0.160171553,
            -0.16163066,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.16282551,
            -0.163555056,
            -0.164284617,
            -0.165014163,
            -0.165743709,
            -0.166473255,
            -0.167202815,
            -0.167932361,
            -0.168661907,
            -0.169391453,
            -0.170121014,
            -0.17085056,
            -0.171580106,
            -0.172309652,
            -0.173039198,
            -0.173768759,
            -0.174498305,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.17504403,
            -0.175773576,
            -0.176503137,
            -0.177232683,
            -0.177962229,
            -0.178691775,
            -0.179421335,
            -0.180150881,
            -0.180880427,
            -0.181609973,
            -0.182339519,
            -0.18306908,
            -0.183798626,
            -0.184528172,
            -0.185257718,
            -0.185987279,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186624914,
            -0.18735446,
            -0.188084006,
            -0.188813567,
            -0.189543113,
            -0.190272659,
            -0.191002205,
            -0.191731766,
            -0.192461312,
            -0.193190858,
            -0.193920404,
            -0.194649965,
            -0.195379511,
            -0.196109056,
            -0.196838602,
            -0.197568148,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197418794,
            -0.196689248,
            -0.195959702,
            -0.195230156,
            -0.194500595,
            -0.193771049,
            -0.193041503,
            -0.192311957,
            -0.191582397,
            -0.190852851,
            -0.190123305,
            -0.189393759,
            -0.188664198,
            -0.187934652,
            -0.187205106,
            -0.18647556,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.185837924,
            -0.185108364,
            -0.184378818,
            -0.183649272,
            -0.182919726,
            -0.182190165,
            -0.181460619,
            -0.180731073,
            -0.180001527,
            -0.179271966,
            -0.17854242,
            -0.177812874,
            -0.177083328,
            -0.176353768,
            -0.175624222,
            -0.174894676,
            -0.174854457,
            -0.175584018,
            -0.176313564,
            -0.17704311,
            -0.177772656,
            -0.178502217,
            -0.179231763,
            -0.179961309,
            -0.180690855,
            -0.181420416,
            -0.182149962,
            -0.182879508,
            -0.183609053,
            -0.184338599,
            -0.18506816,
            -0.185797706,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186205566,
            -0.18547602,
            -0.184746459,
            -0.184016913,
            -0.183287367,
            -0.182557821,
            -0.18182826,
            -0.181098714,
            -0.180369169,
            -0.179639623,
            -0.178910077,
            -0.178180516,
            -0.17745097,
            -0.176721424,
            -0.175991863,
            -0.175262317,
            -0.174532771,
            -0.173803225,
            -0.173073679,
            -0.172344118,
            -0.171614572,
            -0.170885026,
            -0.170155481,
            -0.16942592,
            -0.168696374,
            -0.167966828,
            -0.167237282,
            -0.166507721,
            -0.165778175,
            -0.165048629,
            -0.164319083,
            -0.163589522,
            -0.162859976,
            -0.161515772,
            -0.160056666,
            -0.158597574,
            -0.157138467,
            -0.155679375,
            -0.154220268,
            -0.152761176,
            -0.151302069,
            -0.149842978,
            -0.148383871,
            -0.146924779,
            -0.145465672,
            -0.14400658,
            -0.142547473,
            -0.141088381,
            -0.139629275,
            -0.137995929,
            -0.13629365,
            -0.134591356,
            -0.132889077,
            -0.131186783,
            -0.129484504,
            -0.127782211,
            -0.126079932,
            -0.124377638,
            -0.122675359,
            -0.120973065,
            -0.119270787,
            -0.117568493,
            -0.115866214,
            -0.11416392,
            -0.112461641,
            -0.110902965,
            -0.109443873,
            -0.107984774,
            -0.106525674,
            -0.105066583,
            -0.103607483,
            -0.102148384,
            -0.100689285,
            -0.0992301852,
            -0.0977710932,
            -0.0963119939,
            -0.0948528945,
            -0.0933938026,
            -0.0919347033,
            -0.0904756039,
            -0.089016512,
            -0.0878963321,
            -0.0871667862,
            -0.0864372328,
            -0.0857076868,
            -0.0849781334,
            -0.0842485875,
            -0.0835190341,
            -0.0827894881,
            -0.0820599347,
            -0.0813303888,
            -0.0806008354,
            -0.0798712894,
            -0.079141736,
            -0.0784121901,
            -0.0776826441,
            -0.0769530907,
            -0.076141201,
            -0.0751684681,
            -0.0741957352,
            -0.0732230023,
            -0.0722502694,
            -0.0712775365,
            -0.0703048036,
            -0.0693320706,
            -0.0683593452,
            -0.0673866123,
            -0.0664138794,
            -0.0654411465,
            -0.0644684136,
            -0.0634956807,
            -0.0625229478,
            -0.0615502112,
            -0.0604740791,
            -0.0590149797,
            -0.0575558804,
            -0.056096781,
            -0.0546376817,
            -0.0531785823,
            -0.051719483,
            -0.0502603836,
            -0.0488012843,
            -0.0473421849,
            -0.0458830856,
            -0.0444239862,
            -0.0429648906,
            -0.0415057912,
            -0.0400466919,
            -0.0385875925,
            -0.0371284895,
            -0.0356693938,
            -0.0342102945,
            -0.0327511951,
            -0.0312920958,
            -0.0298329964,
            -0.0283738971,
            -0.0269147977,
            -0.0254556984,
            -0.023996599,
            -0.0225374997,
            -0.0210784003,
            -0.019619301,
            -0.0181602016,
            -0.0167011023,
            -0.0152420029,
            -0.0137829036,
            -0.0113893691,
            -0.00895753689,
            -0.0065257051,
            -0.00409387331,
            -0.00166204106,
            0.000769791193,
            0.00320162252,
            0.00563345477,
            0.00806528702,
            0.0104971193,
            0.0129289515,
            0.0153607819,
            0.017792616,
            0.0202244483,
            0.0226562768,
            0.0250881091,
            0.0273169708,
            0.0295056198,
            0.0316942669,
            0.033882916,
            0.036071565,
            0.038260214,
            0.0404488631,
            0.0426375121,
            0.0448261611,
            0.0470148101,
            0.0492034592,
            0.0513921082,
            0.0535807535,
            0.0557694063,
            0.0579580516,
            0.0601467006,
            0.061990682,
            0.0636929646,
            0.0653952435,
            0.0670975298,
            0.0687998086,
            0.0705020949,
            0.0722043738,
            0.0739066601,
            0.0756089389,
            0.0773112252,
            0.0790135041,
            0.0807157904,
            0.0824180692,
            0.0841203481,
            0.0858226344,
            0.0875249207,
            0.0886604115,
            0.0893899575,
            0.0901195109,
            0.0908490568,
            0.0915786102,
            0.0923081562,
            0.0930377096,
            0.0937672555,
            0.0944968089,
            0.0952263549,
            0.0959559083,
            0.0966854542,
            0.0974150077,
            0.0981445536,
            0.098874107,
            0.099603653,
            0.100333206,
            0.101062752,
            0.101792306,
            0.102521852,
            0.103251405,
            0.103980951,
            0.104710504,
            0.10544005,
            0.106169604,
            0.10689915,
            0.107628703,
            0.108358249,
            0.109087795,
            0.109817348,
            0.110546902,
            0.111276448,
            0.112005994,
            0.112735547,
            0.113465093,
            0.114194646,
            0.114924192,
            0.115653746,
            0.116383292,
            0.117112845,
            0.117842391,
            0.118571945,
            0.11930149,
            0.120031044,
            0.12076059,
            0.121490143,
            0.122219689,
            0.122949243,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.124456212,
            0.125428945,
            0.126401678,
            0.127374411,
            0.128347144,
            0.129319876,
            0.130292609,
            0.131265342,
            0.132238075,
            0.133210808,
            0.134183541,
            0.135156274,
            0.136129007,
            0.13710174,
            0.138074473,
            0.139047205,
            0.139818877,
            0.140548423,
            0.141277984,
            0.14200753,
            0.142737076,
            0.143466622,
            0.144196182,
            0.144925728,
            0.145655274,
            0.14638482,
            0.147114381,
            0.147843927,
            0.148573473,
            0.149303019,
            0.15003258,
            0.150762126,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151307851,
            0.152037397,
            0.152766958,
            0.153496504,
            0.154226065,
            0.154955611,
            0.155685171,
            0.156414717,
            0.157144278,
            0.157873824,
            0.158603385,
            0.159332931,
            0.160062492,
            0.160792038,
            0.161521599,
            0.162251145,
            0.162980705,
            0.163710251,
            0.164439797,
            0.165169343,
            0.165898889,
            0.166628435,
            0.167357981,
            0.168087527,
            0.168817073,
            0.169546619,
            0.170276165,
            0.171005711,
            0.171735257,
            0.172464803,
            0.173194349,
            0.173923895,
            0.174653441,
            0.175382987,
            0.176112533,
            0.176842079,
            0.177571639,
            0.178301185,
            0.179030731,
            0.179760277,
            0.180489838,
            0.181219384,
            0.18194893,
            0.182678476,
            0.183408037,
            0.184137583,
            0.184867129,
            0.185596675,
            0.186343461,
            0.187316194,
            0.188288942,
            0.189261675,
            0.190234408,
            0.191207141,
            0.192179888,
            0.193152621,
            0.194125354,
            0.195098087,
            0.19607082,
            0.197043568,
            0.198016301,
            0.198989034,
            0.199961767,
            0.200934514,
            0.201907247,
            0.202650189,
            0.203379735,
            0.204109281,
            0.204838827,
            0.205568373,
            0.206297919,
            0.207027465,
            0.207757011,
            0.208486557,
            0.209216103,
            0.209945649,
            0.210675195,
            0.211404741,
            0.212134287,
            0.212863833,
            0.213593379,
            0.214920357,
            0.216379464,
            0.217838556,
            0.219297662,
            0.220756754,
            0.222215861,
            0.223674953,
            0.22513406,
            0.226593152,
            0.228052258,
            0.22951135,
            0.230970457,
            0.232429549,
            0.233888656,
            0.235347748,
            0.23680684,
            0.23776044,
            0.238489985,
            0.239219531,
            0.239949077,
            0.240678638,
            0.241408184,
            0.24213773,
            0.242867276,
            0.243596822,
            0.244326383,
            0.245055929,
            0.245785475,
            0.246515021,
            0.247244582,
            0.247974128,
            0.248703673,
            0.249433234,
            0.25016278,
            0.250892341,
            0.251621902,
            0.252351433,
            0.253080994,
            0.253810555,
            0.254540086,
            0.255269647,
            0.255999207,
            0.256728768,
            0.257458329,
            0.25818786,
            0.258917421,
            0.259646982,
            0.260376513,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.261090755,
            0.262063503,
            0.263036221,
            0.264008969,
            0.264981717,
            0.265954435,
            0.266927183,
            0.26789993,
            0.268872648,
            0.269845396,
            0.270818114,
            0.271790862,
            0.27276361,
            0.273736328,
            0.274709076,
            0.275681794,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276409447,
            0.275436699,
            0.274463981,
            0.273491234,
            0.272518486,
            0.271545768,
            0.27057302,
            0.269600302,
            0.268627554,
            0.267654806,
            0.266682088,
            0.265709341,
            0.264736623,
            0.263763875,
            0.262791127,
            0.261818409,
            0.260845661,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260284603,
            0.259555072,
            0.258825511,
            0.25809595,
            0.257366389,
            0.256636858,
            0.255907297,
            0.255177736,
            0.254448175,
            0.253718644,
            0.252989084,
            0.252259523,
            0.251529962,
            0.250800431,
            0.25007087,
            0.249341309,
            0.248203903,
            0.246744812,
            0.245285705,
            0.243826613,
            0.242367506,
            0.240908414,
            0.239449307,
            0.237990215,
            0.236531109,
            0.235072017,
            0.23361291,
            0.232153818,
            0.230694711,
            0.229235619,
            0.227776513,
            0.226317421,
            0.225174263,
            0.224444717,
            0.223715171,
            0.22298561,
            0.222256064,
            0.221526518,
            0.220796973,
            0.220067412,
            0.219337866,
            0.21860832,
            0.217878774,
            0.217149228,
            0.216419667,
            0.215690121,
            0.214960575,
            0.214231014,
            0.21320276,
            0.211500481,
            0.209798187,
            0.208095908,
            0.206393629,
            0.20469135,
            0.202989072,
            0.201286778,
            0.199584499,
            0.19788222,
            0.196179941,
            0.194477648,
            0.192775369,
            0.19107309,
            0.189370811,
            0.187668517,
            0.18645069,
            0.187423423,
            0.188396171,
            0.189368904,
            0.190341637,
            0.191314369,
            0.192287117,
            0.19325985,
            0.194232583,
            0.195205316,
            0.196178064,
            0.197150797,
            0.19812353,
            0.199096262,
            0.20006901,
            0.201041743,
            0.201867029,
            0.20016475,
            0.198462456,
            0.196760178,
            0.195057884,
            0.193355605,
            0.191653311,
            0.189951032,
            0.188248754,
            0.18654646,
            0.184844166,
            0.183141887,
            0.181439608,
            0.179737315,
            0.178035036,
            0.176332742,
            0.174630463,
            0.173831984,
            0.173102438,
            0.172372892,
            0.171643347,
            0.170913801,
            0.170184255,
            0.169454709,
            0.168725163,
            0.167995617,
            0.167266071,
            0.166536525,
            0.165806979,
            0.165077433,
            0.164347887,
            0.163618341,
            0.162888795,
            0.162159234,
            0.161429688,
            0.160700127,
            0.159970582,
            0.159241021,
            0.158511475,
            0.157781914,
            0.157052368,
            0.156322807,
            0.155593261,
            0.1548637,
            0.154134154,
            0.153404593,
            0.152675048,
            0.151945487,
            0.151215941,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151382536,
            0.152112082,
            0.152841642,
            0.153571188,
            0.154300749,
            0.155030295,
            0.155759841,
            0.156489402,
            0.157218963,
            0.157948509,
            0.158678055,
            0.159407616,
            0.160137162,
            0.160866722,
            0.161596268,
            0.162325829,
            0.163055375,
            0.163784921,
            0.164514467,
            0.165244013,
            0.165973559,
            0.166703105,
            0.167432651,
            0.168162197,
            0.168891743,
            0.169621289,
            0.170350835,
            0.171080381,
            0.171809927,
            0.172539473,
            0.173269019,
            0.173998564,
            0.17472811,
            0.175457656,
            0.176187217,
            0.176916763,
            0.177646309,
            0.178375855,
            0.179105416,
            0.179834962,
            0.180564508,
            0.181294054,
            0.182023615,
            0.182753161,
            0.183482707,
            0.184212252,
            0.184941813,
            0.185671359,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.184930325,
            0.183471233,
            0.182012126,
            0.180553034,
            0.179093942,
            0.17763485,
            0.176175743,
            0.174716651,
            0.17325756,
            0.171798468,
            0.170339376,
            0.168880269,
            0.167421177,
            0.165962085,
            0.164502978,
            0.163043886,
            0.162164986,
            0.161435425,
            0.160705879,
            0.159976318,
            0.159246773,
            0.158517212,
            0.157787666,
            0.157058105,
            0.156328559,
            0.155598998,
            0.154869452,
            0.154139891,
            0.153410345,
            0.152680784,
            0.151951239,
            0.151221678,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150584042,
            0.149854496,
            0.14912495,
            0.148395389,
            0.147665843,
            0.146936297,
            0.146206751,
            0.145477191,
            0.144747645,
            0.144018099,
            0.143288553,
            0.142558992,
            0.141829446,
            0.1410999,
            0.140370354,
            0.139640793,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139428258,
            0.140157804,
            0.14088735,
            0.141616896,
            0.142346457,
            0.143076003,
            0.143805549,
            0.144535094,
            0.145264655,
            0.145994201,
            0.146723747,
            0.147453293,
            0.148182854,
            0.1489124,
            0.149641946,
            0.150371492,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151009142,
            0.151738688,
            0.152468249,
            0.153197795,
            0.153927356,
            0.154656902,
            0.155386448,
            0.156116009,
            0.156845555,
            0.157575116,
            0.158304662,
            0.159034222,
            0.159763768,
            0.160493329,
            0.161222875,
            0.161952436,
            0.162681982,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163319618,
            0.164049163,
            0.164778709,
            0.165508255,
            0.166237801,
            0.166967347,
            0.167696893,
            0.168426439,
            0.169155985,
            0.169885531,
            0.170615077,
            0.171344623,
            0.172074169,
            0.172803715,
            0.173533261,
            0.174262807,
            0.174992353,
            0.175721914,
            0.17645146,
            0.177181005,
            0.177910551,
            0.178640112,
            0.179369658,
            0.180099204,
            0.18082875,
            0.181558311,
            0.182287857,
            0.183017403,
            0.183746949,
            0.18447651,
            0.185206056,
            0.185935602,
            0.186795369,
            0.187768102,
            0.188740835,
            0.189713567,
            0.190686315,
            0.191659048,
            0.192631781,
            0.193604514,
            0.194577262,
            0.195549995,
            0.196522728,
            0.197495461,
            0.198468208,
            0.199440941,
            0.200413674,
            0.201386407,
            0.20225957,
            0.202989116,
            0.203718662,
            0.204448208,
            0.205177754,
            0.2059073,
            0.206636846,
            0.207366392,
            0.208095938,
            0.208825484,
            0.20955503,
            0.210284576,
            0.211014122,
            0.211743668,
            0.212473214,
            0.21320276,
            0.213932306,
            0.214661852,
            0.215391412,
            0.216120958,
            0.216850504,
            0.21758005,
            0.218309611,
            0.219039157,
            0.219768703,
            0.220498249,
            0.22122781,
            0.221957356,
            0.222686902,
            0.223416448,
            0.224146008,
            0.224875554,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225467235,
            0.224737689,
            0.224008128,
            0.223278582,
            0.222549036,
            0.22181949,
            0.221089929,
            0.220360383,
            0.219630837,
            0.218901291,
            0.218171746,
            0.217442185,
            0.216712639,
            0.215983093,
            0.215253547,
            0.214523986,
            0.21379444,
            0.213064894,
            0.212335348,
            0.211605802,
            0.210876256,
            0.21014671,
            0.209417164,
            0.208687618,
            0.207958072,
            0.207228526,
            0.206498981,
            0.205769435,
            0.205039889,
            0.204310343,
            0.203580797,
            0.202851251,
            0.202121705,
            0.201202586,
            0.200229853,
            0.19925712,
            0.198284373,
            0.19731164,
            0.196338907,
            0.195366174,
            0.194393426,
            0.193420693,
            0.19244796,
            0.191475227,
            0.19050248,
            0.189529747,
            0.188557014,
            0.187584281,
            0.186611533,
            0.185797736,
            0.18506819,
            0.184338644,
            0.183609083,
            0.182879537,
            0.182149991,
            0.181420445,
            0.180690885,
            0.179961339,
            0.179231793,
            0.178502247,
            0.177772686,
            0.17704314,
            0.176313594,
            0.175584048,
            0.174854487,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174216852,
            0.173487306,
            0.17275776,
            0.172028214,
            0.171298668,
            0.170569122,
            0.169839576,
            0.16911003,
            0.168380484,
            0.167650938,
            0.166921392,
            0.166191846,
            0.1654623,
            0.164732754,
            0.164003208,
            0.163273662,
            0.16234307,
            0.160883963,
            0.159424856,
            0.15796575,
            0.156506658,
            0.155047551,
            0.153588444,
            0.152129337,
            0.150670245,
            0.149211138,
            0.147752032,
            0.146292925,
            0.144833833,
            0.143374726,
            0.141915619,
            0.140456527,
            0.139070183,
            0.13809745,
            0.137124717,
            0.136151984,
            0.135179251,
            0.134206519,
            0.133233786,
            0.132261053,
            0.13128832,
            0.130315587,
            0.129342854,
            0.128370121,
            0.127397388,
            0.126424655,
            0.125451922,
            0.12447919,
            0.123512201,
            0.122782648,
            0.122053102,
            0.121323556,
            0.120594002,
            0.119864456,
            0.119134903,
            0.118405357,
            0.117675804,
            0.116946258,
            0.116216704,
            0.115487158,
            0.114757605,
            0.114028059,
            0.113298506,
            0.11256896,
            0.111839406,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111201771,
            0.110472217,
            0.109742671,
            0.109013118,
            0.108283572,
            0.107554018,
            0.106824473,
            0.106094919,
            0.105365373,
            0.10463582,
            0.103906274,
            0.103176728,
            0.102447174,
            0.101717621,
            0.100988075,
            0.100258529,
            0.0995289758,
            0.0987994298,
            0.0980698764,
            0.0973403305,
            0.0966107771,
            0.0958812311,
            0.0951516777,
            0.0944221318,
            0.0936925784,
            0.0929630324,
            0.092233479,
            0.0915039331,
            0.0907743797,
            0.0900448337,
            0.0893152803,
            0.0885857344,
            0.087856181,
            0.087126635,
            0.0863970816,
            0.0856675357,
            0.0849379823,
            0.0842084363,
            0.0834788829,
            0.082749337,
            0.0820197836,
            0.0812902376,
            0.0805606842,
            0.0798311383,
            0.0791015849,
            0.0783720389,
            0.0776424855,
            0.0769129395,
            0.0758004263,
            0.07409814,
            0.0723958611,
            0.0706935748,
            0.068991296,
            0.0672890097,
            0.0655867308,
            0.0638844445,
            0.0621821657,
            0.0604798831,
            0.0587776005,
            0.0570753179,
            0.0553730354,
            0.0536707528,
            0.0519684702,
            0.0502661876,
            0.0488243215,
            0.0480947718,
            0.0473652221,
            0.0466356725,
            0.0459061228,
            0.0451765731,
            0.0444470234,
            0.0437174737,
            0.0429879241,
            0.0422583744,
            0.0415288284,
            0.040799275,
            0.0400697291,
            0.0393401757,
            0.0386106297,
            0.0378810763,
            0.0371515304,
            0.0364219807,
            0.035692431,
            0.0349628814,
            0.0342333317,
            0.033503782,
            0.0327742323,
            0.0320446827,
            0.031315133,
            0.0305855833,
            0.0298560336,
            0.0291264839,
            0.0283969343,
            0.0276673846,
            0.0269378349,
            0.0262082852,
            0.0254787356,
            0.0247491859,
            0.0240196362,
            0.0232900865,
            0.0225605369,
            0.0218309872,
            0.0211014375,
            0.0203718878,
            0.0196423382,
            0.0189127885,
            0.0181832388,
            0.0174536891,
            0.0167241395,
            0.0159945898,
            0.015265041,
            0.0145354914,
            0.0138059417,
            0.0115617635,
            0.00912993122,
            0.00669809943,
            0.00426626764,
            0.00183443539,
            -0.000597396865,
            -0.00302922912,
            -0.00546106137,
            -0.00789289176,
            -0.010324724,
            -0.0127565563,
            -0.0151883885,
            -0.0176202208,
            -0.020052053,
            -0.0224838853,
            -0.0249157175,
            -0.0266045947,
            -0.028063694,
            -0.0295227934,
            -0.0309818927,
            -0.0324409902,
            -0.0339000896,
            -0.0353591889,
            -0.0368182883,
            -0.0382773876,
            -0.039736487,
            -0.0411955863,
            -0.0426546857,
            -0.044113785,
            -0.0455728844,
            -0.0470319837,
            -0.0484910831,
            -0.0494848788,
            -0.0502144285,
            -0.0509439781,
            -0.0516735278,
            -0.0524030775,
            -0.0531326272,
            -0.0538621768,
            -0.0545917265,
            -0.0553212762,
            -0.0560508259,
            -0.0567803755,
            -0.0575099252,
            -0.0582394749,
            -0.0589690208,
            -0.0596985742,
            -0.0604281202,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0611595884,
            -0.0621323213,
            -0.0631050542,
            -0.0640777871,
            -0.06505052,
            -0.0660232529,
            -0.0669959858,
            -0.0679687187,
            -0.0689414516,
            -0.0699141845,
            -0.0708869174,
            -0.0718596503,
            -0.0728323832,
            -0.0738051087,
            -0.0747778416,
            -0.0757505745,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0757352561,
            -0.0747625306,
            -0.0737897977,
            -0.0728170648,
            -0.0718443319,
            -0.070871599,
            -0.0698988661,
            -0.0689261332,
            -0.0679534003,
            -0.0669806674,
            -0.0660079345,
            -0.0650352016,
            -0.0640624687,
            -0.0630897358,
            -0.0621170029,
            -0.06114427,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0612744763,
            -0.0622472093,
            -0.0632199422,
            -0.0641926751,
            -0.065165408,
            -0.0661381409,
            -0.0671108738,
            -0.0680836067,
            -0.0690563396,
            -0.0700290725,
            -0.0710018054,
            -0.0719745383,
            -0.0729472712,
            -0.0739200041,
            -0.074892737,
            -0.0758654699,
            -0.0770220235,
            -0.0784811229,
            -0.0799402222,
            -0.0813993216,
            -0.0828584209,
            -0.0843175203,
            -0.0857766196,
            -0.087235719,
            -0.0886948183,
            -0.0901539177,
            -0.091613017,
            -0.0930721164,
            -0.0945312157,
            -0.0959903151,
            -0.0974494144,
            -0.0989085138,
            -0.100183785,
            -0.100913338,
            -0.101642884,
            -0.10237243,
            -0.103101976,
            -0.10383153,
            -0.104561076,
            -0.105290622,
            -0.106020167,
            -0.106749713,
            -0.107479267,
            -0.108208813,
            -0.108938359,
            -0.109667905,
            -0.110397458,
            -0.111127004,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464
          ],
          [
            -0.0999999642,
            -0.0992704183,
            -0.0985408649,
            -0.0978113189,
            -0.0970817655,
            -0.0963522196,
            -0.0956226662,
            -0.0948931202,
            -0.0941635668,
            -0.0934340209,
            -0.0927044675,
            -0.0919749215,
            -0.0912453681,
            -0.0905158222,
            -0.0897862688,
            -0.0890567228,
            -0.0883271694,
            -0.0875976235,
            -0.0868680701,
            -0.0861385241,
            -0.0854089707,
            -0.0846794248,
            -0.0839498714,
            -0.0832203254,
            -0.082490772,
            -0.0817612261,
            -0.0810316727,
            -0.0803021267,
            -0.0795725733,
            -0.0788430274,
            -0.078113474,
            -0.077383928,
            -0.0766543746,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0769243687,
            -0.0776539147,
            -0.0783834681,
            -0.079113014,
            -0.0798425674,
            -0.0805721134,
            -0.0813016668,
            -0.0820312127,
            -0.0827607661,
            -0.0834903121,
            -0.0842198655,
            -0.0849494115,
            -0.0856789649,
            -0.0864085108,
            -0.0871380642,
            -0.0878676102,
            -0.0885971636,
            -0.0893267095,
            -0.0900562629,
            -0.0907858089,
            -0.0915153623,
            -0.0922449082,
            -0.0929744616,
            -0.0937040076,
            -0.094433561,
            -0.0951631069,
            -0.0958926603,
            -0.0966222063,
            -0.0973517597,
            -0.0980813056,
            -0.098810859,
            -0.099540405,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0998218879,
            -0.0990923345,
            -0.0983627886,
            -0.0976332352,
            -0.0969036892,
            -0.0961741358,
            -0.0954445899,
            -0.0947150365,
            -0.0939854905,
            -0.0932559371,
            -0.0925263911,
            -0.0917968377,
            -0.0910672918,
            -0.0903377384,
            -0.0896081924,
            -0.088878639,
            -0.088321425,
            -0.0890509784,
            -0.0897805244,
            -0.0905100778,
            -0.0912396237,
            -0.0919691771,
            -0.0926987231,
            -0.0934282765,
            -0.0941578224,
            -0.0948873758,
            -0.0956169218,
            -0.0963464677,
            -0.0970760211,
            -0.0978055745,
            -0.0985351205,
            -0.0992646664,
            -0.0999942198,
            -0.100723766,
            -0.101453312,
            -0.102182865,
            -0.102912411,
            -0.103641957,
            -0.104371503,
            -0.105101056,
            -0.105830602,
            -0.106560148,
            -0.107289694,
            -0.108019248,
            -0.108748794,
            -0.10947834,
            -0.110207886,
            -0.110937439,
            -0.111666985,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111224659,
            -0.110495113,
            -0.109765567,
            -0.109036013,
            -0.108306468,
            -0.107576922,
            -0.106847376,
            -0.106117822,
            -0.105388276,
            -0.10465873,
            -0.103929184,
            -0.103199631,
            -0.102470085,
            -0.101740539,
            -0.101010993,
            -0.100281447,
            -0.100448035,
            -0.101177581,
            -0.101907127,
            -0.102636673,
            -0.103366226,
            -0.104095772,
            -0.104825318,
            -0.105554864,
            -0.106284417,
            -0.107013963,
            -0.107743509,
            -0.108473055,
            -0.109202608,
            -0.109932154,
            -0.1106617,
            -0.111391246,
            -0.1121208,
            -0.112850353,
            -0.113579899,
            -0.114309452,
            -0.115039006,
            -0.115768552,
            -0.116498105,
            -0.117227659,
            -0.117957212,
            -0.118686765,
            -0.119416311,
            -0.120145865,
            -0.120875418,
            -0.121604964,
            -0.122334518,
            -0.123064071,
            -0.123881705,
            -0.124854438,
            -0.125827178,
            -0.126799911,
            -0.127772644,
            -0.128745377,
            -0.12971811,
            -0.130690843,
            -0.131663576,
            -0.132636309,
            -0.133609056,
            -0.134581789,
            -0.135554522,
            -0.136527255,
            -0.137499988,
            -0.138472721,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.1392961,
            -0.140025645,
            -0.140755206,
            -0.141484752,
            -0.142214298,
            -0.142943844,
            -0.143673405,
            -0.144402951,
            -0.145132497,
            -0.145862043,
            -0.146591604,
            -0.14732115,
            -0.148050696,
            -0.148780242,
            -0.149509788,
            -0.150239348,
            -0.150968894,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.15151462,
            -0.152244166,
            -0.152973726,
            -0.153703272,
            -0.154432818,
            -0.155162364,
            -0.155891925,
            -0.156621471,
            -0.157351017,
            -0.158080563,
            -0.158810109,
            -0.15953967,
            -0.160269216,
            -0.160998762,
            -0.161728308,
            -0.162457868,
            -0.163187414,
            -0.16391696,
            -0.164646506,
            -0.165376067,
            -0.166105613,
            -0.166835159,
            -0.167564705,
            -0.168294266,
            -0.169023812,
            -0.169753358,
            -0.170482904,
            -0.171212465,
            -0.171942011,
            -0.172671556,
            -0.173401102,
            -0.174130663,
            -0.174860209,
            -0.175589755,
            -0.176319301,
            -0.177048862,
            -0.177778408,
            -0.178507954,
            -0.1792375,
            -0.179967061,
            -0.180696607,
            -0.181426153,
            -0.182155699,
            -0.182885259,
            -0.183614805,
            -0.184344351,
            -0.185073897,
            -0.185803443,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186349183,
            -0.187078729,
            -0.187808275,
            -0.188537821,
            -0.189267382,
            -0.189996928,
            -0.190726474,
            -0.19145602,
            -0.192185581,
            -0.192915127,
            -0.193644673,
            -0.194374219,
            -0.195103765,
            -0.195833325,
            -0.196562871,
            -0.197292417,
            -0.198021978,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197510704,
            -0.196781158,
            -0.196051612,
            -0.195322067,
            -0.194592506,
            -0.19386296,
            -0.193133414,
            -0.192403868,
            -0.191674322,
            -0.190944761,
            -0.190215215,
            -0.189485669,
            -0.188756108,
            -0.188026562,
            -0.187297016,
            -0.18656747,
            -0.185837924,
            -0.185108364,
            -0.184378818,
            -0.183649272,
            -0.182919726,
            -0.182190165,
            -0.181460619,
            -0.180731073,
            -0.180001527,
            -0.179271966,
            -0.17854242,
            -0.177812874,
            -0.177083328,
            -0.176353768,
            -0.175624222,
            -0.174894676,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.173803225,
            -0.173073679,
            -0.172344118,
            -0.171614572,
            -0.170885026,
            -0.170155481,
            -0.16942592,
            -0.168696374,
            -0.167966828,
            -0.167237282,
            -0.166507721,
            -0.165778175,
            -0.165048629,
            -0.164319083,
            -0.163589522,
            -0.162859976,
            -0.161515772,
            -0.160056666,
            -0.158597574,
            -0.157138467,
            -0.155679375,
            -0.154220268,
            -0.152761176,
            -0.151302069,
            -0.149842978,
            -0.148383871,
            -0.146924779,
            -0.145465672,
            -0.14400658,
            -0.142547473,
            -0.141088381,
            -0.139629275,
            -0.137995929,
            -0.13629365,
            -0.134591356,
            -0.132889077,
            -0.131186783,
            -0.129484504,
            -0.127782211,
            -0.126079932,
            -0.124377638,
            -0.122675359,
            -0.120973065,
            -0.119270787,
            -0.117568493,
            -0.115866214,
            -0.11416392,
            -0.112461641,
            -0.110902965,
            -0.109443873,
            -0.107984774,
            -0.106525674,
            -0.105066583,
            -0.103607483,
            -0.102148384,
            -0.100689285,
            -0.0992301852,
            -0.0977710932,
            -0.0963119939,
            -0.0948528945,
            -0.0933938026,
            -0.0919347033,
            -0.0904756039,
            -0.089016512,
            -0.0878963321,
            -0.0871667862,
            -0.0864372328,
            -0.0857076868,
            -0.0849781334,
            -0.0842485875,
            -0.0835190341,
            -0.0827894881,
            -0.0820599347,
            -0.0813303888,
            -0.0806008354,
            -0.0798712894,
            -0.079141736,
            -0.0784121901,
            -0.0776826441,
            -0.0769530907,
            -0.076141201,
            -0.0751684681,
            -0.0741957352,
            -0.0732230023,
            -0.0722502694,
            -0.0712775365,
            -0.0703048036,
            -0.0693320706,
            -0.0683593452,
            -0.0673866123,
            -0.0664138794,
            -0.0654411465,
            -0.0644684136,
            -0.0634956807,
            -0.0625229478,
            -0.0615502112,
            -0.0604740791,
            -0.0590149797,
            -0.0575558804,
            -0.056096781,
            -0.0546376817,
            -0.0531785823,
            -0.051719483,
            -0.0502603836,
            -0.0488012843,
            -0.0473421849,
            -0.0458830856,
            -0.0444239862,
            -0.0429648906,
            -0.0415057912,
            -0.0400466919,
            -0.0385875925,
            -0.0371284895,
            -0.0356693938,
            -0.0342102945,
            -0.0327511951,
            -0.0312920958,
            -0.0298329964,
            -0.0283738971,
            -0.0269147977,
            -0.0254556984,
            -0.023996599,
            -0.0225374997,
            -0.0210784003,
            -0.019619301,
            -0.0181602016,
            -0.0167011023,
            -0.0152420029,
            -0.0137829036,
            -0.0113893691,
            -0.00895753689,
            -0.0065257051,
            -0.00409387331,
            -0.00166204106,
            0.000769791193,
            0.00320162252,
            0.00563345477,
            0.00806528702,
            0.0104971193,
            0.0129289515,
            0.0153607819,
            0.017792616,
            0.0202244483,
            0.0226562768,
            0.0250881091,
            0.0273169708,
            0.0295056198,
            0.0316942669,
            0.033882916,
            0.036071565,
            0.038260214,
            0.0404488631,
            0.0426375121,
            0.0448261611,
            0.0470148101,
            0.0492034592,
            0.0513921082,
            0.0535807535,
            0.0557694063,
            0.0579580516,
            0.0601467006,
            0.061990682,
            0.0636929646,
            0.0653952435,
            0.0670975298,
            0.0687998086,
            0.0705020949,
            0.0722043738,
            0.0739066601,
            0.0756089389,
            0.0773112252,
            0.0790135041,
            0.0807157904,
            0.0824180692,
            0.0841203481,
            0.0858226344,
            0.0875249207,
            0.0886604115,
            0.0893899575,
            0.0901195109,
            0.0908490568,
            0.0915786102,
            0.0923081562,
            0.0930377096,
            0.0937672555,
            0.0944968089,
            0.0952263549,
            0.0959559083,
            0.0966854542,
            0.0974150077,
            0.0981445536,
            0.098874107,
            0.099603653,
            0.100333206,
            0.101062752,
            0.101792306,
            0.102521852,
            0.103251405,
            0.103980951,
            0.104710504,
            0.10544005,
            0.106169604,
            0.10689915,
            0.107628703,
            0.108358249,
            0.109087795,
            0.109817348,
            0.110546902,
            0.111276448,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111822173,
            0.112551726,
            0.113281272,
            0.114010826,
            0.114740372,
            0.115469925,
            0.116199471,
            0.116929024,
            0.11765857,
            0.118388116,
            0.11911767,
            0.119847223,
            0.120576769,
            0.121306315,
            0.122035868,
            0.122765422,
            0.123494968,
            0.124456212,
            0.125428945,
            0.126401678,
            0.127374411,
            0.128347144,
            0.129319876,
            0.130292609,
            0.131265342,
            0.132238075,
            0.133210808,
            0.134183541,
            0.135156274,
            0.136129007,
            0.13710174,
            0.138074473,
            0.139047205,
            0.139818877,
            0.140548423,
            0.141277984,
            0.14200753,
            0.142737076,
            0.143466622,
            0.144196182,
            0.144925728,
            0.145655274,
            0.14638482,
            0.147114381,
            0.147843927,
            0.148573473,
            0.149303019,
            0.15003258,
            0.150762126,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151307851,
            0.152037397,
            0.152766958,
            0.153496504,
            0.154226065,
            0.154955611,
            0.155685171,
            0.156414717,
            0.157144278,
            0.157873824,
            0.158603385,
            0.159332931,
            0.160062492,
            0.160792038,
            0.161521599,
            0.162251145,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162888795,
            0.163618341,
            0.164347887,
            0.165077433,
            0.165806979,
            0.166536525,
            0.167266071,
            0.167995617,
            0.168725163,
            0.169454709,
            0.170184255,
            0.170913801,
            0.171643347,
            0.172372892,
            0.173102438,
            0.173831984,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.175199166,
            0.175928712,
            0.176658258,
            0.177387804,
            0.178117365,
            0.178846911,
            0.179576457,
            0.180306002,
            0.181035563,
            0.181765109,
            0.182494655,
            0.183224201,
            0.183953762,
            0.184683308,
            0.185412854,
            0.1861424,
            0.1870711,
            0.188043833,
            0.189016581,
            0.189989313,
            0.190962046,
            0.191934779,
            0.192907512,
            0.19388026,
            0.194852993,
            0.195825726,
            0.196798459,
            0.197771206,
            0.198743939,
            0.199716672,
            0.200689405,
            0.201662153,
            0.202971891,
            0.204430982,
            0.205890074,
            0.207349181,
            0.208808273,
            0.210267365,
            0.211726457,
            0.213185564,
            0.214644656,
            0.216103747,
            0.217562839,
            0.219021946,
            0.220481038,
            0.22194013,
            0.223399222,
            0.224858314,
            0.226317421,
            0.227776513,
            0.229235619,
            0.230694711,
            0.232153818,
            0.23361291,
            0.235072017,
            0.236531109,
            0.237990215,
            0.239449307,
            0.240908414,
            0.242367506,
            0.243826613,
            0.245285705,
            0.246744812,
            0.248203903,
            0.249341309,
            0.25007087,
            0.250800431,
            0.251529962,
            0.252259523,
            0.252989084,
            0.253718644,
            0.254448175,
            0.255177736,
            0.255907297,
            0.256636858,
            0.257366389,
            0.25809595,
            0.258825511,
            0.259555072,
            0.260284603,
            0.261090755,
            0.262063503,
            0.263036221,
            0.264008969,
            0.264981717,
            0.265954435,
            0.266927183,
            0.26789993,
            0.268872648,
            0.269845396,
            0.270818114,
            0.271790862,
            0.27276361,
            0.273736328,
            0.274709076,
            0.275681794,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276409447,
            0.275436699,
            0.274463981,
            0.273491234,
            0.272518486,
            0.271545768,
            0.27057302,
            0.269600302,
            0.268627554,
            0.267654806,
            0.266682088,
            0.265709341,
            0.264736623,
            0.263763875,
            0.262791127,
            0.261818409,
            0.260845661,
            0.260100782,
            0.259371251,
            0.25864169,
            0.257912129,
            0.257182568,
            0.256453037,
            0.255723476,
            0.254993916,
            0.254264355,
            0.253534824,
            0.252805263,
            0.252075702,
            0.251346141,
            0.25061661,
            0.249887049,
            0.249157488,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.248519853,
            0.247790307,
            0.247060746,
            0.2463312,
            0.245601654,
            0.244872108,
            0.244142562,
            0.243413001,
            0.242683455,
            0.241953909,
            0.241224363,
            0.240494803,
            0.239765257,
            0.239035711,
            0.238306165,
            0.237576604,
            0.236439198,
            0.234980106,
            0.233521,
            0.232061908,
            0.230602801,
            0.229143709,
            0.227684602,
            0.22622551,
            0.224766403,
            0.223307312,
            0.221848205,
            0.220389113,
            0.218930006,
            0.217470914,
            0.216011807,
            0.214552715,
            0.213409558,
            0.212680012,
            0.211950466,
            0.21122092,
            0.210491374,
            0.209761828,
            0.209032282,
            0.208302736,
            0.20757319,
            0.206843644,
            0.206114098,
            0.205384552,
            0.204655007,
            0.203925461,
            0.203195915,
            0.202466369,
            0.201662153,
            0.200689405,
            0.199716672,
            0.198743939,
            0.197771206,
            0.196798459,
            0.195825726,
            0.194852993,
            0.19388026,
            0.192907512,
            0.191934779,
            0.190962046,
            0.189989313,
            0.189016581,
            0.188043833,
            0.1870711,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186194107,
            0.184735015,
            0.183275908,
            0.181816816,
            0.180357724,
            0.178898633,
            0.177439541,
            0.175980434,
            0.174521342,
            0.17306225,
            0.171603143,
            0.170144051,
            0.168684959,
            0.167225868,
            0.165766776,
            0.164307669,
            0.162848577,
            0.162067324,
            0.161337778,
            0.160608217,
            0.159878671,
            0.15914911,
            0.158419564,
            0.157690004,
            0.156960458,
            0.156230897,
            0.155501351,
            0.15477179,
            0.154042244,
            0.153312683,
            0.152583137,
            0.151853576,
            0.15112403,
            0.150394469,
            0.149664924,
            0.148935378,
            0.148205832,
            0.147476271,
            0.146746725,
            0.146017179,
            0.145287633,
            0.144558072,
            0.143828526,
            0.14309898,
            0.142369434,
            0.141639888,
            0.140910327,
            0.140180781,
            0.139451236,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139525905,
            0.140255466,
            0.140985012,
            0.141714558,
            0.142444104,
            0.143173665,
            0.143903211,
            0.144632757,
            0.145362303,
            0.146091849,
            0.146821409,
            0.147550955,
            0.148280501,
            0.149010062,
            0.149739608,
            0.150469154,
            0.1511987,
            0.151928261,
            0.152657807,
            0.153387368,
            0.154116914,
            0.154846475,
            0.15557602,
            0.156305581,
            0.157035127,
            0.157764688,
            0.158494234,
            0.159223795,
            0.159953341,
            0.160682902,
            0.161412448,
            0.162142009,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162710711,
            0.161981151,
            0.161251605,
            0.160522044,
            0.159792498,
            0.159062952,
            0.158333391,
            0.15760383,
            0.156874284,
            0.156144738,
            0.155415177,
            0.154685631,
            0.153956071,
            0.153226525,
            0.152496964,
            0.151767418,
            0.151037857,
            0.150308311,
            0.149578765,
            0.148849204,
            0.148119658,
            0.147390112,
            0.146660566,
            0.145931005,
            0.14520146,
            0.144471914,
            0.143742368,
            0.143012807,
            0.142283261,
            0.141553715,
            0.140824169,
            0.140094608,
            0.139365062,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139244437,
            0.139973983,
            0.140703529,
            0.141433075,
            0.142162621,
            0.142892182,
            0.143621728,
            0.144351274,
            0.14508082,
            0.145810381,
            0.146539927,
            0.147269472,
            0.147999018,
            0.148728579,
            0.149458125,
            0.150187671,
            0.150917217,
            0.151646778,
            0.152376324,
            0.153105885,
            0.153835431,
            0.154564992,
            0.155294538,
            0.156024098,
            0.156753644,
            0.157483205,
            0.158212751,
            0.158942312,
            0.159671858,
            0.160401419,
            0.161130965,
            0.161860526,
            0.162590072,
            0.163319618,
            0.164049163,
            0.164778709,
            0.165508255,
            0.166237801,
            0.166967347,
            0.167696893,
            0.168426439,
            0.169155985,
            0.169885531,
            0.170615077,
            0.171344623,
            0.172074169,
            0.172803715,
            0.173533261,
            0.174262807,
            0.174992353,
            0.175721914,
            0.17645146,
            0.177181005,
            0.177910551,
            0.178640112,
            0.179369658,
            0.180099204,
            0.18082875,
            0.181558311,
            0.182287857,
            0.183017403,
            0.183746949,
            0.18447651,
            0.185206056,
            0.185935602,
            0.186795369,
            0.187768102,
            0.188740835,
            0.189713567,
            0.190686315,
            0.191659048,
            0.192631781,
            0.193604514,
            0.194577262,
            0.195549995,
            0.196522728,
            0.197495461,
            0.198468208,
            0.199440941,
            0.200413674,
            0.201386407,
            0.20225957,
            0.202989116,
            0.203718662,
            0.204448208,
            0.205177754,
            0.2059073,
            0.206636846,
            0.207366392,
            0.208095938,
            0.208825484,
            0.20955503,
            0.210284576,
            0.211014122,
            0.211743668,
            0.212473214,
            0.21320276,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.21370253,
            0.212972984,
            0.212243438,
            0.211513892,
            0.210784346,
            0.2100548,
            0.209325254,
            0.208595708,
            0.207866162,
            0.207136616,
            0.20640707,
            0.205677524,
            0.204947978,
            0.204218432,
            0.203488886,
            0.20275934,
            0.202029794,
            0.201080039,
            0.200107306,
            0.199134558,
            0.198161826,
            0.197189093,
            0.19621636,
            0.195243612,
            0.194270879,
            0.193298146,
            0.192325413,
            0.191352665,
            0.190379933,
            0.1894072,
            0.188434467,
            0.187461734,
            0.186488986,
            0.185705826,
            0.18497628,
            0.184246719,
            0.183517173,
            0.182787627,
            0.182058081,
            0.18132852,
            0.180598974,
            0.179869428,
            0.179139882,
            0.178410321,
            0.177680776,
            0.17695123,
            0.176221684,
            0.175492138,
            0.174762577,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174216852,
            0.173487306,
            0.17275776,
            0.172028214,
            0.171298668,
            0.170569122,
            0.169839576,
            0.16911003,
            0.168380484,
            0.167650938,
            0.166921392,
            0.166191846,
            0.1654623,
            0.164732754,
            0.164003208,
            0.163273662,
            0.162544116,
            0.16181457,
            0.16108501,
            0.160355464,
            0.159625903,
            0.158896357,
            0.158166796,
            0.15743725,
            0.156707689,
            0.155978143,
            0.155248582,
            0.154519036,
            0.153789476,
            0.15305993,
            0.152330369,
            0.151600823,
            0.150871262,
            0.150141716,
            0.14941217,
            0.148682624,
            0.147953063,
            0.147223517,
            0.146493971,
            0.145764425,
            0.145034865,
            0.144305319,
            0.143575773,
            0.142846227,
            0.142116666,
            0.14138712,
            0.140657574,
            0.139928028,
            0.13919273,
            0.138219997,
            0.137247264,
            0.136274531,
            0.135301799,
            0.134329066,
            0.133356333,
            0.1323836,
            0.131410867,
            0.130438134,
            0.129465401,
            0.128492668,
            0.127519935,
            0.126547202,
            0.12557447,
            0.124601737,
            0.123629004,
            0.122874565,
            0.122145012,
            0.121415466,
            0.120685913,
            0.119956367,
            0.119226813,
            0.118497267,
            0.117767714,
            0.117038168,
            0.116308615,
            0.115579069,
            0.114849515,
            0.114119969,
            0.113390416,
            0.11266087,
            0.111931317,
            0.111201771,
            0.110472217,
            0.109742671,
            0.109013118,
            0.108283572,
            0.107554018,
            0.106824473,
            0.106094919,
            0.105365373,
            0.10463582,
            0.103906274,
            0.103176728,
            0.102447174,
            0.101717621,
            0.100988075,
            0.100258529,
            0.0995289758,
            0.0987994298,
            0.0980698764,
            0.0973403305,
            0.0966107771,
            0.0958812311,
            0.0951516777,
            0.0944221318,
            0.0936925784,
            0.0929630324,
            0.092233479,
            0.0915039331,
            0.0907743797,
            0.0900448337,
            0.0893152803,
            0.0885857344,
            0.0873506665,
            0.0856483877,
            0.0839461014,
            0.0822438225,
            0.0805415362,
            0.0788392574,
            0.0771369711,
            0.0754346922,
            0.0737324059,
            0.072030127,
            0.0703278482,
            0.0686255619,
            0.0669232756,
            0.0652209967,
            0.0635187179,
            0.0618164316,
            0.0602098927,
            0.0587507933,
            0.057291694,
            0.0558325946,
            0.0543734953,
            0.0529143959,
            0.0514552966,
            0.0499961972,
            0.0485370979,
            0.0470779985,
            0.0456188992,
            0.0441597998,
            0.0427007005,
            0.0412416011,
            0.0397825018,
            0.0383234024,
            0.0370596163,
            0.0363300666,
            0.0356005169,
            0.0348709673,
            0.0341414176,
            0.0334118679,
            0.0326823182,
            0.0319527686,
            0.0312232208,
            0.0304936711,
            0.0297641214,
            0.0290345717,
            0.028305022,
            0.0275754724,
            0.0268459227,
            0.026116373,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254787356,
            0.0247491859,
            0.0240196362,
            0.0232900865,
            0.0225605369,
            0.0218309872,
            0.0211014375,
            0.0203718878,
            0.0196423382,
            0.0189127885,
            0.0181832388,
            0.0174536891,
            0.0167241395,
            0.0159945898,
            0.015265041,
            0.0145354914,
            0.0138059417,
            0.0122108897,
            0.0105086081,
            0.0088063255,
            0.00710404292,
            0.00540176034,
            0.00369947776,
            0.00199719612,
            0.000294913538,
            -0.00140736904,
            -0.00310965069,
            -0.00481193326,
            -0.00651421584,
            -0.00821649842,
            -0.009918781,
            -0.0116210636,
            -0.0133233462,
            -0.0148398895,
            -0.0162989888,
            -0.0177580882,
            -0.0192171875,
            -0.0206762869,
            -0.0221353844,
            -0.0235944837,
            -0.0250535831,
            -0.0265126824,
            -0.0279717818,
            -0.0294308811,
            -0.0308899805,
            -0.0323490798,
            -0.0338081792,
            -0.0352672786,
            -0.0367263779,
            -0.0377201736,
            -0.0384497233,
            -0.0391792729,
            -0.0399088226,
            -0.0406383723,
            -0.041367922,
            -0.0420974717,
            -0.0428270213,
            -0.043556571,
            -0.0442861207,
            -0.0450156704,
            -0.04574522,
            -0.0464747697,
            -0.0472043157,
            -0.0479338691,
            -0.048663415,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.049209144,
            -0.0499386936,
            -0.0506682433,
            -0.051397793,
            -0.0521273427,
            -0.0528568923,
            -0.053586442,
            -0.0543159917,
            -0.0550455414,
            -0.0557750911,
            -0.056504637,
            -0.0572341904,
            -0.0579637364,
            -0.0586932898,
            -0.0594228357,
            -0.0601523891,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0612744763,
            -0.0622472093,
            -0.0632199422,
            -0.0641926751,
            -0.065165408,
            -0.0661381409,
            -0.0671108738,
            -0.0680836067,
            -0.0690563396,
            -0.0700290725,
            -0.0710018054,
            -0.0719745383,
            -0.0729472712,
            -0.0739200041,
            -0.074892737,
            -0.0758654699,
            -0.0767462924,
            -0.0774758384,
            -0.0782053918,
            -0.0789349377,
            -0.0796644837,
            -0.0803940371,
            -0.0811235905,
            -0.0818531364,
            -0.0825826824,
            -0.0833122358,
            -0.0840417817,
            -0.0847713351,
            -0.0855008811,
            -0.0862304345,
            -0.0869599804,
            -0.0876895338,
            -0.0884190798,
            -0.0891486332,
            -0.0898781791,
            -0.0906077325,
            -0.0913372785,
            -0.0920668319,
            -0.0927963778,
            -0.0935259312,
            -0.0942554772,
            -0.0949850306,
            -0.0957145765,
            -0.0964441299,
            -0.0971736759,
            -0.0979032293,
            -0.0986327752,
            -0.0993623286,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642
          ],
          [
            -0.0882352591,
            -0.0875057131,
            -0.0867761597,
            -0.0860466138,
            -0.0853170604,
            -0.0845875144,
            -0.083857961,
            -0.083128415,
            -0.0823988616,
            -0.0816693157,
            -0.0809397623,
            -0.0802102163,
            -0.0794806629,
            -0.078751117,
            -0.0780215636,
            -0.0772920176,
            -0.0765624642,
            -0.0756203681,
            -0.0746476352,
            -0.0736749023,
            -0.0727021694,
            -0.0717294365,
            -0.0707567036,
            -0.0697839707,
            -0.0688112378,
            -0.0678385049,
            -0.066865772,
            -0.0658930391,
            -0.0649203062,
            -0.0639475733,
            -0.0629748404,
            -0.0620021112,
            -0.0610293783,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0613893643,
            -0.0623620972,
            -0.0633348301,
            -0.064307563,
            -0.0652802959,
            -0.0662530288,
            -0.0672257617,
            -0.0681984946,
            -0.0691712275,
            -0.0701439604,
            -0.0711166933,
            -0.0720894262,
            -0.0730621591,
            -0.074034892,
            -0.0750076249,
            -0.0759803578,
            -0.0768324584,
            -0.0775620043,
            -0.0782915577,
            -0.0790211037,
            -0.0797506571,
            -0.080480203,
            -0.0812097564,
            -0.0819393024,
            -0.0826688558,
            -0.0833984017,
            -0.0841279551,
            -0.0848575011,
            -0.0855870545,
            -0.0863166004,
            -0.0870461538,
            -0.0877756998,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0889590606,
            -0.089688614,
            -0.09041816,
            -0.0911477134,
            -0.0918772593,
            -0.0926068127,
            -0.0933363587,
            -0.0940659121,
            -0.094795458,
            -0.0955250114,
            -0.0962545574,
            -0.0969841108,
            -0.0977136567,
            -0.0984432101,
            -0.0991727561,
            -0.0999023095,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0994599834,
            -0.09873043,
            -0.0980008841,
            -0.0972713307,
            -0.0965417847,
            -0.0958122313,
            -0.0950826854,
            -0.0943531394,
            -0.093623586,
            -0.0928940326,
            -0.0921644866,
            -0.0914349407,
            -0.0907053873,
            -0.0899758339,
            -0.0892462879,
            -0.088516742,
            -0.0886833295,
            -0.0894128755,
            -0.0901424289,
            -0.0908719748,
            -0.0916015282,
            -0.0923310742,
            -0.0930606276,
            -0.0937901735,
            -0.0945197269,
            -0.0952492729,
            -0.0959788263,
            -0.0967083722,
            -0.0974379256,
            -0.0981674716,
            -0.098897025,
            -0.0996265709,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100080386,
            -0.100809932,
            -0.101539485,
            -0.102269031,
            -0.102998577,
            -0.103728123,
            -0.104457676,
            -0.105187222,
            -0.105916768,
            -0.106646314,
            -0.107375868,
            -0.108105414,
            -0.10883496,
            -0.109564506,
            -0.110294059,
            -0.111023605,
            -0.111753151,
            -0.112482704,
            -0.11321225,
            -0.113941804,
            -0.114671357,
            -0.11540091,
            -0.116130456,
            -0.11686001,
            -0.117589563,
            -0.118319117,
            -0.119048662,
            -0.119778216,
            -0.120507769,
            -0.121237323,
            -0.121966869,
            -0.122696422,
            -0.123425975,
            -0.124364242,
            -0.125336975,
            -0.126309708,
            -0.127282441,
            -0.128255174,
            -0.129227921,
            -0.130200654,
            -0.131173387,
            -0.13214612,
            -0.133118853,
            -0.134091586,
            -0.135064319,
            -0.136037052,
            -0.137009799,
            -0.137982532,
            -0.138955265,
            -0.139749914,
            -0.14047946,
            -0.141209021,
            -0.141938567,
            -0.142668113,
            -0.143397659,
            -0.14412722,
            -0.144856766,
            -0.145586312,
            -0.146315858,
            -0.147045404,
            -0.147774965,
            -0.148504511,
            -0.149234056,
            -0.149963602,
            -0.150693163,
            -0.151422709,
            -0.152152255,
            -0.152881801,
            -0.153611362,
            -0.154340908,
            -0.155070454,
            -0.1558,
            -0.156529561,
            -0.157259107,
            -0.157988653,
            -0.158718199,
            -0.159447759,
            -0.160177305,
            -0.160906851,
            -0.161636397,
            -0.162365958,
            -0.163095504,
            -0.16382505,
            -0.164554596,
            -0.165284157,
            -0.166013703,
            -0.166743249,
            -0.167472795,
            -0.168202356,
            -0.168931901,
            -0.169661447,
            -0.170390993,
            -0.171120554,
            -0.1718501,
            -0.172579646,
            -0.173309192,
            -0.174038738,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174676389,
            -0.175405934,
            -0.17613548,
            -0.176865026,
            -0.177594587,
            -0.178324133,
            -0.179053679,
            -0.179783225,
            -0.180512786,
            -0.181242332,
            -0.181971878,
            -0.182701424,
            -0.183430985,
            -0.184160531,
            -0.184890077,
            -0.185619622,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.185745999,
            -0.185016453,
            -0.184286907,
            -0.183557361,
            -0.182827801,
            -0.182098255,
            -0.181368709,
            -0.180639163,
            -0.179909617,
            -0.179180056,
            -0.17845051,
            -0.177720964,
            -0.176991403,
            -0.176261857,
            -0.175532311,
            -0.174802765,
            -0.174073219,
            -0.173343658,
            -0.172614112,
            -0.171884567,
            -0.171155021,
            -0.17042546,
            -0.169695914,
            -0.168966368,
            -0.168236822,
            -0.167507261,
            -0.166777715,
            -0.166048169,
            -0.165318623,
            -0.164589062,
            -0.163859516,
            -0.16312997,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.16203852,
            -0.161308974,
            -0.160579413,
            -0.159849867,
            -0.159120321,
            -0.158390775,
            -0.157661214,
            -0.156931669,
            -0.156202123,
            -0.155472577,
            -0.154743016,
            -0.15401347,
            -0.153283924,
            -0.152554378,
            -0.151824817,
            -0.151095271,
            -0.149546176,
            -0.147843897,
            -0.146141604,
            -0.144439325,
            -0.142737031,
            -0.141034752,
            -0.139332473,
            -0.13763018,
            -0.135927901,
            -0.134225622,
            -0.132523328,
            -0.130821049,
            -0.12911877,
            -0.127416477,
            -0.125714198,
            -0.124011911,
            -0.123006627,
            -0.122277074,
            -0.12154752,
            -0.120817974,
            -0.120088421,
            -0.119358867,
            -0.118629314,
            -0.117899768,
            -0.117170215,
            -0.116440661,
            -0.115711108,
            -0.114981562,
            -0.114252008,
            -0.113522455,
            -0.112792909,
            -0.112063356,
            -0.110902965,
            -0.109443873,
            -0.107984774,
            -0.106525674,
            -0.105066583,
            -0.103607483,
            -0.102148384,
            -0.100689285,
            -0.0992301852,
            -0.0977710932,
            -0.0963119939,
            -0.0948528945,
            -0.0933938026,
            -0.0919347033,
            -0.0904756039,
            -0.089016512,
            -0.0878963321,
            -0.0871667862,
            -0.0864372328,
            -0.0857076868,
            -0.0849781334,
            -0.0842485875,
            -0.0835190341,
            -0.0827894881,
            -0.0820599347,
            -0.0813303888,
            -0.0806008354,
            -0.0798712894,
            -0.079141736,
            -0.0784121901,
            -0.0776826441,
            -0.0769530907,
            -0.076141201,
            -0.0751684681,
            -0.0741957352,
            -0.0732230023,
            -0.0722502694,
            -0.0712775365,
            -0.0703048036,
            -0.0693320706,
            -0.0683593452,
            -0.0673866123,
            -0.0664138794,
            -0.0654411465,
            -0.0644684136,
            -0.0634956807,
            -0.0625229478,
            -0.0615502112,
            -0.0604740791,
            -0.0590149797,
            -0.0575558804,
            -0.056096781,
            -0.0546376817,
            -0.0531785823,
            -0.051719483,
            -0.0502603836,
            -0.0488012843,
            -0.0473421849,
            -0.0458830856,
            -0.0444239862,
            -0.0429648906,
            -0.0415057912,
            -0.0400466919,
            -0.0385875925,
            -0.0371284895,
            -0.0356693938,
            -0.0342102945,
            -0.0327511951,
            -0.0312920958,
            -0.0298329964,
            -0.0283738971,
            -0.0269147977,
            -0.0254556984,
            -0.023996599,
            -0.0225374997,
            -0.0210784003,
            -0.019619301,
            -0.0181602016,
            -0.0167011023,
            -0.0152420029,
            -0.0137829036,
            -0.0113893691,
            -0.00895753689,
            -0.0065257051,
            -0.00409387331,
            -0.00166204106,
            0.000769791193,
            0.00320162252,
            0.00563345477,
            0.00806528702,
            0.0104971193,
            0.0129289515,
            0.0153607819,
            0.017792616,
            0.0202244483,
            0.0226562768,
            0.0250881091,
            0.0267080553,
            0.0281671546,
            0.029626254,
            0.0310853533,
            0.0325444527,
            0.034003552,
            0.0354626514,
            0.0369217508,
            0.0383808464,
            0.0398399457,
            0.0412990451,
            0.0427581444,
            0.0442172438,
            0.0456763431,
            0.0471354425,
            0.0485945418,
            0.0502259769,
            0.0519282594,
            0.053630542,
            0.0553328246,
            0.0570351072,
            0.0587373897,
            0.0604396686,
            0.0621419549,
            0.0638442338,
            0.0655465201,
            0.0672487989,
            0.0689510852,
            0.0706533641,
            0.0723556429,
            0.0740579292,
            0.0757602155,
            0.0773207992,
            0.0787798986,
            0.0802389979,
            0.0816980973,
            0.0831571966,
            0.084616296,
            0.0860753953,
            0.0875344947,
            0.0889935941,
            0.090452686,
            0.0919117928,
            0.0933708847,
            0.0948299915,
            0.0962890834,
            0.0977481902,
            0.0992072821,
            0.100333206,
            0.101062752,
            0.101792306,
            0.102521852,
            0.103251405,
            0.103980951,
            0.104710504,
            0.10544005,
            0.106169604,
            0.10689915,
            0.107628703,
            0.108358249,
            0.109087795,
            0.109817348,
            0.110546902,
            0.111276448,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111822173,
            0.112551726,
            0.113281272,
            0.114010826,
            0.114740372,
            0.115469925,
            0.116199471,
            0.116929024,
            0.11765857,
            0.118388116,
            0.11911767,
            0.119847223,
            0.120576769,
            0.121306315,
            0.122035868,
            0.122765422,
            0.123494968,
            0.125151291,
            0.12685357,
            0.128555864,
            0.130258143,
            0.131960422,
            0.133662701,
            0.135364994,
            0.137067273,
            0.138769552,
            0.140471831,
            0.142174125,
            0.143876404,
            0.145578682,
            0.147280961,
            0.14898324,
            0.150685534,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151307851,
            0.152037397,
            0.152766958,
            0.153496504,
            0.154226065,
            0.154955611,
            0.155685171,
            0.156414717,
            0.157144278,
            0.157873824,
            0.158603385,
            0.159332931,
            0.160062492,
            0.160792038,
            0.161521599,
            0.162251145,
            0.16250965,
            0.161780104,
            0.161050543,
            0.160320997,
            0.159591436,
            0.15886189,
            0.15813233,
            0.157402784,
            0.156673223,
            0.155943677,
            0.155214116,
            0.15448457,
            0.153755009,
            0.153025463,
            0.152295902,
            0.151566356,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.152359083,
            0.15381819,
            0.155277282,
            0.156736389,
            0.158195481,
            0.159654588,
            0.161113679,
            0.162572786,
            0.164031878,
            0.165490985,
            0.166950077,
            0.168409184,
            0.169868276,
            0.171327382,
            0.172786474,
            0.174245581,
            0.175107256,
            0.175836802,
            0.176566347,
            0.177295893,
            0.178025454,
            0.178755,
            0.179484546,
            0.180214092,
            0.180943653,
            0.181673199,
            0.182402745,
            0.183132291,
            0.183861852,
            0.184591398,
            0.185320944,
            0.18605049,
            0.18745406,
            0.189156339,
            0.190858632,
            0.192560911,
            0.19426319,
            0.195965469,
            0.197667763,
            0.199370041,
            0.20107232,
            0.202774599,
            0.204476893,
            0.206179172,
            0.207881451,
            0.20958373,
            0.211286008,
            0.212988302,
            0.214552715,
            0.216011807,
            0.217470914,
            0.218930006,
            0.220389113,
            0.221848205,
            0.223307312,
            0.224766403,
            0.22622551,
            0.227684602,
            0.229143709,
            0.230602801,
            0.232061908,
            0.233521,
            0.234980106,
            0.236439198,
            0.237576604,
            0.238306165,
            0.239035711,
            0.239765257,
            0.240494803,
            0.241224363,
            0.241953909,
            0.242683455,
            0.243413001,
            0.244142562,
            0.244872108,
            0.245601654,
            0.2463312,
            0.247060746,
            0.247790307,
            0.248519853,
            0.249249399,
            0.24997896,
            0.25070852,
            0.251438051,
            0.252167612,
            0.252897173,
            0.253626734,
            0.254356265,
            0.255085826,
            0.255815387,
            0.256544948,
            0.257274479,
            0.25800404,
            0.2587336,
            0.259463161,
            0.260192692,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260738432,
            0.260008872,
            0.259279311,
            0.25854978,
            0.257820219,
            0.257090658,
            0.256361127,
            0.255631566,
            0.254902005,
            0.254172444,
            0.253442883,
            0.252713352,
            0.251983792,
            0.251254231,
            0.2505247,
            0.249795139,
            0.249065578,
            0.248336032,
            0.247606486,
            0.246876925,
            0.246147379,
            0.245417833,
            0.244688287,
            0.243958727,
            0.243229181,
            0.242499635,
            0.241770089,
            0.241040528,
            0.240310982,
            0.239581436,
            0.23885189,
            0.238122329,
            0.237392783,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.236255378,
            0.234796286,
            0.233337179,
            0.231878072,
            0.23041898,
            0.228959888,
            0.227500781,
            0.22604169,
            0.224582583,
            0.223123491,
            0.221664384,
            0.220205292,
            0.218746185,
            0.217287093,
            0.215827987,
            0.214368895,
            0.213317648,
            0.212588102,
            0.211858556,
            0.21112901,
            0.210399464,
            0.209669918,
            0.208940372,
            0.208210826,
            0.20748128,
            0.206751734,
            0.206022188,
            0.205292642,
            0.204563096,
            0.20383355,
            0.203104004,
            0.202374458,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201438114,
            0.19973582,
            0.198033541,
            0.196331248,
            0.194628969,
            0.192926675,
            0.191224396,
            0.189522117,
            0.187819824,
            0.18611753,
            0.184415251,
            0.182712972,
            0.181010678,
            0.1793084,
            0.177606106,
            0.175903827,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174429402,
            0.172970295,
            0.171511203,
            0.170052096,
            0.168593004,
            0.167133898,
            0.165674806,
            0.164215714,
            0.162756607,
            0.1612975,
            0.159838408,
            0.158379316,
            0.15692021,
            0.155461118,
            0.154002011,
            0.152542919,
            0.151083812,
            0.150302559,
            0.149573013,
            0.148843467,
            0.148113921,
            0.14738436,
            0.146654814,
            0.145925269,
            0.145195723,
            0.144466162,
            0.143736616,
            0.14300707,
            0.142277524,
            0.141547963,
            0.140818417,
            0.140088871,
            0.139359325,
            0.138434455,
            0.137461722,
            0.136488989,
            0.135516256,
            0.134543523,
            0.13357079,
            0.132598057,
            0.131625324,
            0.130652592,
            0.129679859,
            0.128707126,
            0.127734393,
            0.12676166,
            0.125788927,
            0.124816202,
            0.123843469,
            0.123035409,
            0.122305855,
            0.121576309,
            0.120846763,
            0.12011721,
            0.119387664,
            0.11865811,
            0.117928565,
            0.117199011,
            0.116469465,
            0.115739912,
            0.115010366,
            0.114280812,
            0.113551266,
            0.112821713,
            0.112092167,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.112074934,
            0.11280448,
            0.113534033,
            0.114263579,
            0.114993133,
            0.115722679,
            0.116452232,
            0.117181778,
            0.117911331,
            0.118640877,
            0.119370431,
            0.120099977,
            0.120829523,
            0.121559076,
            0.122288629,
            0.123018175,
            0.123820491,
            0.124793224,
            0.125765949,
            0.126738682,
            0.127711415,
            0.128684148,
            0.129656881,
            0.130629614,
            0.131602347,
            0.13257508,
            0.133547813,
            0.134520546,
            0.135493279,
            0.136466011,
            0.137438744,
            0.138411477,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139169753,
            0.13819702,
            0.137224287,
            0.136251554,
            0.135278821,
            0.134306088,
            0.133333355,
            0.132360622,
            0.131387889,
            0.130415156,
            0.129442424,
            0.128469691,
            0.127496958,
            0.126524225,
            0.125551492,
            0.124578759,
            0.123606026,
            0.122857332,
            0.122127779,
            0.121398233,
            0.120668679,
            0.119939134,
            0.11920958,
            0.118480034,
            0.117750481,
            0.117020935,
            0.116291381,
            0.115561835,
            0.114832282,
            0.114102736,
            0.113373183,
            0.112643637,
            0.111914083,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.11225301,
            0.112982556,
            0.11371211,
            0.114441656,
            0.115171209,
            0.115900755,
            0.116630308,
            0.117359854,
            0.118089408,
            0.118818954,
            0.119548507,
            0.120278053,
            0.121007606,
            0.121737152,
            0.122466706,
            0.123196252,
            0.124057926,
            0.125030667,
            0.126003399,
            0.126976132,
            0.12794885,
            0.128921598,
            0.129894316,
            0.130867064,
            0.131839782,
            0.13281253,
            0.133785248,
            0.134757981,
            0.135730714,
            0.136703447,
            0.137676179,
            0.138648912,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.138932317,
            0.137959585,
            0.136986852,
            0.136014119,
            0.135041386,
            0.134068653,
            0.13309592,
            0.132123187,
            0.131150454,
            0.130177721,
            0.129204988,
            0.128232256,
            0.127259523,
            0.12628679,
            0.125314057,
            0.124341324,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.12356773,
            0.124540463,
            0.125513196,
            0.126485929,
            0.127458662,
            0.128431395,
            0.129404128,
            0.13037686,
            0.131349593,
            0.132322326,
            0.133295059,
            0.134267792,
            0.135240525,
            0.136213258,
            0.137185991,
            0.138158724,
            0.139131457,
            0.140548438,
            0.14200753,
            0.143466637,
            0.144925743,
            0.14638485,
            0.147843942,
            0.149303049,
            0.150762156,
            0.152221262,
            0.153680354,
            0.155139461,
            0.156598568,
            0.15805766,
            0.159516767,
            0.160975873,
            0.16243498,
            0.163319618,
            0.164049163,
            0.164778709,
            0.165508255,
            0.166237801,
            0.166967347,
            0.167696893,
            0.168426439,
            0.169155985,
            0.169885531,
            0.170615077,
            0.171344623,
            0.172074169,
            0.172803715,
            0.173533261,
            0.174262807,
            0.174992353,
            0.175721914,
            0.17645146,
            0.177181005,
            0.177910551,
            0.178640112,
            0.179369658,
            0.180099204,
            0.18082875,
            0.181558311,
            0.182287857,
            0.183017403,
            0.183746949,
            0.18447651,
            0.185206056,
            0.185935602,
            0.186795369,
            0.187768102,
            0.188740835,
            0.189713567,
            0.190686315,
            0.191659048,
            0.192631781,
            0.193604514,
            0.194577262,
            0.195549995,
            0.196522728,
            0.197495461,
            0.198468208,
            0.199440941,
            0.200413674,
            0.201386407,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201930225,
            0.200957492,
            0.199984744,
            0.199012011,
            0.198039278,
            0.197066545,
            0.196093813,
            0.195121065,
            0.194148332,
            0.193175599,
            0.192202866,
            0.191230118,
            0.190257385,
            0.189284652,
            0.18831192,
            0.187339172,
            0.186366439,
            0.185613915,
            0.184884369,
            0.184154809,
            0.183425263,
            0.182695717,
            0.181966171,
            0.18123661,
            0.180507064,
            0.179777518,
            0.179047972,
            0.178318411,
            0.177588865,
            0.176859319,
            0.176129773,
            0.175400212,
            0.174670666,
            0.173941121,
            0.173211575,
            0.172482029,
            0.171752483,
            0.171022937,
            0.170293391,
            0.169563845,
            0.168834299,
            0.168104753,
            0.167375207,
            0.166645661,
            0.165916115,
            0.165186569,
            0.164457023,
            0.163727477,
            0.162997931,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162636027,
            0.161906481,
            0.16117692,
            0.160447374,
            0.159717813,
            0.158988267,
            0.158258706,
            0.15752916,
            0.1567996,
            0.156070054,
            0.155340493,
            0.154610947,
            0.153881386,
            0.15315184,
            0.152422279,
            0.151692733,
            0.150963172,
            0.150233626,
            0.14950408,
            0.148774534,
            0.148044974,
            0.147315428,
            0.146585882,
            0.145856336,
            0.14512679,
            0.144397229,
            0.143667683,
            0.142938137,
            0.142208591,
            0.14147903,
            0.140749484,
            0.140019938,
            0.139290392,
            0.137687668,
            0.135985389,
            0.13428311,
            0.132580832,
            0.130878538,
            0.129176259,
            0.12747398,
            0.125771701,
            0.124069415,
            0.122367136,
            0.12066485,
            0.118962571,
            0.117260285,
            0.115558006,
            0.11385572,
            0.112153441,
            0.111201771,
            0.110472217,
            0.109742671,
            0.109013118,
            0.108283572,
            0.107554018,
            0.106824473,
            0.106094919,
            0.105365373,
            0.10463582,
            0.103906274,
            0.103176728,
            0.102447174,
            0.101717621,
            0.100988075,
            0.100258529,
            0.0990579277,
            0.0975988284,
            0.096139729,
            0.0946806297,
            0.0932215303,
            0.091762431,
            0.0903033316,
            0.0888442323,
            0.0873851329,
            0.0859260336,
            0.0844669342,
            0.0830078349,
            0.0815487355,
            0.0800896436,
            0.0786305368,
            0.0771714449,
            0.0755859613,
            0.0738836825,
            0.0721813962,
            0.0704791173,
            0.068776831,
            0.0670745522,
            0.0653722659,
            0.063669987,
            0.0619677044,
            0.0602654219,
            0.0585631393,
            0.0568608567,
            0.0551585741,
            0.0534562916,
            0.051754009,
            0.0500517264,
            0.0487324111,
            0.0480028614,
            0.0472733118,
            0.0465437621,
            0.0458142124,
            0.0450846627,
            0.0443551131,
            0.0436255634,
            0.0428960137,
            0.042166464,
            0.0414369144,
            0.0407073647,
            0.039977815,
            0.0392482653,
            0.0385187156,
            0.037789166,
            0.0370596163,
            0.0363300666,
            0.0356005169,
            0.0348709673,
            0.0341414176,
            0.0334118679,
            0.0326823182,
            0.0319527686,
            0.0312232208,
            0.0304936711,
            0.0297641214,
            0.0290345717,
            0.028305022,
            0.0275754724,
            0.0268459227,
            0.026116373,
            0.0253868233,
            0.0246572737,
            0.023927724,
            0.0231981743,
            0.0224686246,
            0.021739075,
            0.0210095271,
            0.0202799775,
            0.0195504278,
            0.0188208781,
            0.0180913284,
            0.0173617788,
            0.0166322291,
            0.0159026794,
            0.0151731297,
            0.0144435801,
            0.0137140304,
            0.0129844807,
            0.012254931,
            0.0115253814,
            0.0107958317,
            0.010066282,
            0.00933673233,
            0.00860718265,
            0.00787763298,
            0.00714808377,
            0.00641853455,
            0.00568898488,
            0.0049594352,
            0.00422988553,
            0.00350033585,
            0.00277078617,
            0.0020412365,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.000660645543,
            -0.0010416368,
            -0.00274391938,
            -0.00444620149,
            -0.0061484836,
            -0.00785076618,
            -0.00955304876,
            -0.0112553313,
            -0.012957613,
            -0.0146598965,
            -0.0163621791,
            -0.0180644598,
            -0.0197667424,
            -0.0214690249,
            -0.0231713075,
            -0.0248735901,
            -0.0259554684,
            -0.0266850181,
            -0.0274145678,
            -0.0281441174,
            -0.0288736671,
            -0.0296032168,
            -0.0303327665,
            -0.0310623161,
            -0.0317918658,
            -0.0325214155,
            -0.0332509652,
            -0.0339805149,
            -0.0347100645,
            -0.0354396105,
            -0.0361691639,
            -0.0368987098,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0373525247,
            -0.0380820744,
            -0.0388116241,
            -0.0395411737,
            -0.0402707234,
            -0.0410002731,
            -0.0417298228,
            -0.0424593724,
            -0.0431889221,
            -0.0439184718,
            -0.0446480215,
            -0.0453775711,
            -0.0461071208,
            -0.0468366705,
            -0.0475662202,
            -0.0482957698,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0498774201,
            -0.0515796989,
            -0.0532819815,
            -0.0549842641,
            -0.0566865467,
            -0.0583888292,
            -0.0600911118,
            -0.0617933944,
            -0.0634956807,
            -0.0651979595,
            -0.0669002384,
            -0.0686025247,
            -0.070304811,
            -0.0720070899,
            -0.0737093687,
            -0.075411655,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0766543746,
            -0.077383928,
            -0.078113474,
            -0.0788430274,
            -0.0795725733,
            -0.0803021267,
            -0.0810316727,
            -0.0817612261,
            -0.082490772,
            -0.0832203254,
            -0.0839498714,
            -0.0846794248,
            -0.0854089707,
            -0.0861385241,
            -0.0868680701,
            -0.0875976235,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591
          ],
          [
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0613893643,
            -0.0623620972,
            -0.0633348301,
            -0.064307563,
            -0.0652802959,
            -0.0662530288,
            -0.0672257617,
            -0.0681984946,
            -0.0691712275,
            -0.0701439604,
            -0.0711166933,
            -0.0720894262,
            -0.0730621591,
            -0.074034892,
            -0.0750076249,
            -0.0759803578,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0761182234,
            -0.0751454905,
            -0.0741727576,
            -0.0732000247,
            -0.0722272918,
            -0.0712545589,
            -0.070281826,
            -0.0693090931,
            -0.0683363602,
            -0.0673636273,
            -0.0663909018,
            -0.0654181689,
            -0.064445436,
            -0.0634727031,
            -0.0624999665,
            -0.0615272336,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0608915091,
            -0.061864242,
            -0.0628369749,
            -0.0638097078,
            -0.0647824407,
            -0.0657551736,
            -0.0667279065,
            -0.0677006394,
            -0.0686733723,
            -0.0696461052,
            -0.0706188381,
            -0.071591571,
            -0.0725643039,
            -0.0735370368,
            -0.0745097697,
            -0.0754825026,
            -0.0764552355,
            -0.0779066756,
            -0.079365775,
            -0.0808248743,
            -0.0822839737,
            -0.083743073,
            -0.0852021724,
            -0.0866612718,
            -0.0881203711,
            -0.0895794705,
            -0.0910385698,
            -0.0924976692,
            -0.0939567685,
            -0.0954158679,
            -0.0968749672,
            -0.0983340591,
            -0.0997931659,
            -0.100626111,
            -0.101355657,
            -0.10208521,
            -0.102814756,
            -0.103544302,
            -0.104273848,
            -0.105003402,
            -0.105732948,
            -0.106462494,
            -0.107192039,
            -0.107921585,
            -0.108651139,
            -0.109380685,
            -0.110110231,
            -0.110839777,
            -0.11156933,
            -0.112298876,
            -0.113028429,
            -0.113757983,
            -0.114487529,
            -0.115217082,
            -0.115946636,
            -0.116676189,
            -0.117405735,
            -0.118135288,
            -0.118864842,
            -0.119594395,
            -0.120323941,
            -0.121053495,
            -0.121783048,
            -0.122512601,
            -0.123242147,
            -0.12411914,
            -0.125091881,
            -0.126064613,
            -0.127037346,
            -0.128010079,
            -0.128982812,
            -0.129955545,
            -0.130928278,
            -0.131901026,
            -0.132873759,
            -0.133846492,
            -0.134819224,
            -0.135791957,
            -0.13676469,
            -0.137737423,
            -0.138710156,
            -0.139566094,
            -0.14029564,
            -0.141025186,
            -0.141754746,
            -0.142484292,
            -0.143213838,
            -0.143943384,
            -0.144672945,
            -0.145402491,
            -0.146132037,
            -0.146861583,
            -0.147591144,
            -0.14832069,
            -0.149050236,
            -0.149779782,
            -0.150509328,
            -0.151238889,
            -0.151968434,
            -0.15269798,
            -0.153427541,
            -0.154157087,
            -0.154886633,
            -0.155616179,
            -0.156345725,
            -0.157075286,
            -0.157804832,
            -0.158534378,
            -0.159263924,
            -0.159993485,
            -0.160723031,
            -0.161452577,
            -0.162182122,
            -0.162911683,
            -0.163641229,
            -0.164370775,
            -0.165100321,
            -0.165829882,
            -0.166559428,
            -0.167288974,
            -0.16801852,
            -0.168748081,
            -0.169477627,
            -0.170207173,
            -0.170936719,
            -0.171666279,
            -0.172395825,
            -0.173125371,
            -0.173854917,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.173889384,
            -0.173159838,
            -0.172430292,
            -0.171700746,
            -0.170971185,
            -0.170241639,
            -0.169512093,
            -0.168782547,
            -0.168052986,
            -0.16732344,
            -0.166593894,
            -0.165864348,
            -0.165134788,
            -0.164405242,
            -0.163675696,
            -0.16294615,
            -0.162216589,
            -0.161487043,
            -0.160757497,
            -0.160027951,
            -0.15929839,
            -0.158568844,
            -0.157839298,
            -0.157109752,
            -0.156380206,
            -0.155650645,
            -0.1549211,
            -0.154191554,
            -0.153461993,
            -0.152732447,
            -0.152002901,
            -0.151273355,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.15091145,
            -0.150181904,
            -0.149452344,
            -0.148722798,
            -0.147993252,
            -0.147263706,
            -0.146534145,
            -0.145804599,
            -0.145075053,
            -0.144345507,
            -0.143615961,
            -0.1428864,
            -0.142156854,
            -0.141427308,
            -0.140697747,
            -0.139968202,
            -0.139238656,
            -0.138273582,
            -0.137300849,
            -0.136328116,
            -0.135355383,
            -0.134382635,
            -0.133409902,
            -0.13243717,
            -0.131464437,
            -0.130491704,
            -0.129518971,
            -0.128546238,
            -0.127573505,
            -0.126600772,
            -0.125628024,
            -0.124655299,
            -0.123682559,
            -0.122914717,
            -0.122185163,
            -0.12145561,
            -0.120726056,
            -0.11999651,
            -0.119266957,
            -0.118537404,
            -0.11780785,
            -0.117078304,
            -0.116348751,
            -0.115619197,
            -0.114889652,
            -0.114160098,
            -0.113430545,
            -0.112700991,
            -0.111971438,
            -0.111241892,
            -0.110512346,
            -0.1097828,
            -0.109053247,
            -0.108323701,
            -0.107594155,
            -0.106864609,
            -0.106135055,
            -0.105405509,
            -0.104675964,
            -0.103946418,
            -0.103216872,
            -0.102487318,
            -0.101757772,
            -0.101028226,
            -0.100298673,
            -0.099569127,
            -0.098839581,
            -0.0981100276,
            -0.0973804817,
            -0.0966509283,
            -0.0959213823,
            -0.0951918289,
            -0.094462283,
            -0.0937327296,
            -0.0930031836,
            -0.0922736302,
            -0.0915440843,
            -0.0908145308,
            -0.0900849849,
            -0.0893554315,
            -0.0886258855,
            -0.0878963321,
            -0.0871667862,
            -0.0864372328,
            -0.0857076868,
            -0.0849781334,
            -0.0842485875,
            -0.0835190341,
            -0.0827894881,
            -0.0820599347,
            -0.0813303888,
            -0.0806008354,
            -0.0798712894,
            -0.079141736,
            -0.0784121901,
            -0.0776826441,
            -0.0769530907,
            -0.076141201,
            -0.0751684681,
            -0.0741957352,
            -0.0732230023,
            -0.0722502694,
            -0.0712775365,
            -0.0703048036,
            -0.0693320706,
            -0.0683593452,
            -0.0673866123,
            -0.0664138794,
            -0.0654411465,
            -0.0644684136,
            -0.0634956807,
            -0.0625229478,
            -0.0615502112,
            -0.0604740791,
            -0.0590149797,
            -0.0575558804,
            -0.056096781,
            -0.0546376817,
            -0.0531785823,
            -0.051719483,
            -0.0502603836,
            -0.0488012843,
            -0.0473421849,
            -0.0458830856,
            -0.0444239862,
            -0.0429648906,
            -0.0415057912,
            -0.0400466919,
            -0.0385875925,
            -0.0371284895,
            -0.0356693938,
            -0.0342102945,
            -0.0327511951,
            -0.0312920958,
            -0.0298329964,
            -0.0283738971,
            -0.0269147977,
            -0.0254556984,
            -0.023996599,
            -0.0225374997,
            -0.0210784003,
            -0.019619301,
            -0.0181602016,
            -0.0167011023,
            -0.0152420029,
            -0.0137829036,
            -0.0113893691,
            -0.00895753689,
            -0.0065257051,
            -0.00409387331,
            -0.00166204106,
            0.000769791193,
            0.00320162252,
            0.00563345477,
            0.00806528702,
            0.0104971193,
            0.0129289515,
            0.0153607819,
            0.017792616,
            0.0202244483,
            0.0226562768,
            0.0250881091,
            0.0267080553,
            0.0281671546,
            0.029626254,
            0.0310853533,
            0.0325444527,
            0.034003552,
            0.0354626514,
            0.0369217508,
            0.0383808464,
            0.0398399457,
            0.0412990451,
            0.0427581444,
            0.0442172438,
            0.0456763431,
            0.0471354425,
            0.0485945418,
            0.0502259769,
            0.0519282594,
            0.053630542,
            0.0553328246,
            0.0570351072,
            0.0587373897,
            0.0604396686,
            0.0621419549,
            0.0638442338,
            0.0655465201,
            0.0672487989,
            0.0689510852,
            0.0706533641,
            0.0723556429,
            0.0740579292,
            0.0757602155,
            0.0773207992,
            0.0787798986,
            0.0802389979,
            0.0816980973,
            0.0831571966,
            0.084616296,
            0.0860753953,
            0.0875344947,
            0.0889935941,
            0.090452686,
            0.0919117928,
            0.0933708847,
            0.0948299915,
            0.0962890834,
            0.0977481902,
            0.0992072821,
            0.100333206,
            0.101062752,
            0.101792306,
            0.102521852,
            0.103251405,
            0.103980951,
            0.104710504,
            0.10544005,
            0.106169604,
            0.10689915,
            0.107628703,
            0.108358249,
            0.109087795,
            0.109817348,
            0.110546902,
            0.111276448,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111822173,
            0.112551726,
            0.113281272,
            0.114010826,
            0.114740372,
            0.115469925,
            0.116199471,
            0.116929024,
            0.11765857,
            0.118388116,
            0.11911767,
            0.119847223,
            0.120576769,
            0.121306315,
            0.122035868,
            0.122765422,
            0.123494968,
            0.125151291,
            0.12685357,
            0.128555864,
            0.130258143,
            0.131960422,
            0.133662701,
            0.135364994,
            0.137067273,
            0.138769552,
            0.140471831,
            0.142174125,
            0.143876404,
            0.145578682,
            0.147280961,
            0.14898324,
            0.150685534,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150744885,
            0.150015339,
            0.149285793,
            0.148556247,
            0.147826687,
            0.147097141,
            0.146367595,
            0.145638049,
            0.144908488,
            0.144178942,
            0.143449396,
            0.14271985,
            0.141990289,
            0.141260743,
            0.140531197,
            0.139801651,
            0.139024228,
            0.138051495,
            0.137078762,
            0.136106029,
            0.135133296,
            0.134160563,
            0.13318783,
            0.132215098,
            0.131242365,
            0.130269632,
            0.129296899,
            0.128324166,
            0.127351433,
            0.1263787,
            0.125405967,
            0.124433234,
            0.123598367,
            0.1245711,
            0.125543833,
            0.126516566,
            0.127489299,
            0.128462031,
            0.129434764,
            0.130407497,
            0.13138023,
            0.132352963,
            0.133325696,
            0.134298429,
            0.135271162,
            0.136243895,
            0.137216628,
            0.13818936,
            0.139162093,
            0.140594393,
            0.142053485,
            0.143512592,
            0.144971699,
            0.146430805,
            0.147889897,
            0.149349004,
            0.150808111,
            0.152267218,
            0.15372631,
            0.155185416,
            0.156644523,
            0.158103615,
            0.159562722,
            0.161021829,
            0.162480935,
            0.163342595,
            0.164072141,
            0.164801687,
            0.165531233,
            0.166260779,
            0.166990325,
            0.167719871,
            0.168449417,
            0.169178963,
            0.169908509,
            0.170638055,
            0.171367601,
            0.172097147,
            0.172826692,
            0.173556238,
            0.174285784,
            0.175689355,
            0.177391648,
            0.179093927,
            0.180796221,
            0.1824985,
            0.184200794,
            0.185903072,
            0.187605366,
            0.189307645,
            0.191009939,
            0.192712218,
            0.194414511,
            0.19611679,
            0.197819084,
            0.199521363,
            0.201223657,
            0.20278807,
            0.204247162,
            0.205706254,
            0.207165346,
            0.208624452,
            0.210083544,
            0.211542636,
            0.213001728,
            0.214460835,
            0.215919927,
            0.217379019,
            0.218838111,
            0.220297217,
            0.221756309,
            0.223215401,
            0.224674493,
            0.225811899,
            0.22654146,
            0.227271006,
            0.228000551,
            0.228730097,
            0.229459658,
            0.230189204,
            0.23091875,
            0.231648296,
            0.232377857,
            0.233107403,
            0.233836949,
            0.234566495,
            0.235296041,
            0.236025602,
            0.236755148,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.236663237,
            0.235933691,
            0.23520413,
            0.234474584,
            0.233745039,
            0.233015493,
            0.232285932,
            0.231556386,
            0.23082684,
            0.230097294,
            0.229367733,
            0.228638187,
            0.227908641,
            0.227179095,
            0.226449549,
            0.225719988,
            0.224490672,
            0.22303158,
            0.221572489,
            0.220113382,
            0.21865429,
            0.217195198,
            0.215736106,
            0.214276999,
            0.212817907,
            0.211358815,
            0.209899724,
            0.208440632,
            0.206981525,
            0.205522433,
            0.204063341,
            0.202604234,
            0.201417044,
            0.200444311,
            0.199471578,
            0.198498845,
            0.197526097,
            0.196553364,
            0.195580631,
            0.194607899,
            0.193635151,
            0.192662418,
            0.191689685,
            0.190716952,
            0.189744204,
            0.188771471,
            0.187798738,
            0.186826006,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.18605049,
            0.185320944,
            0.184591398,
            0.183861852,
            0.183132291,
            0.182402745,
            0.181673199,
            0.180943653,
            0.180214092,
            0.179484546,
            0.178755,
            0.178025454,
            0.177295893,
            0.176566347,
            0.175836802,
            0.175107256,
            0.174377695,
            0.173648149,
            0.172918603,
            0.172189057,
            0.171459511,
            0.170729965,
            0.170000419,
            0.169270873,
            0.168541327,
            0.167811781,
            0.167082235,
            0.166352689,
            0.165623143,
            0.164893597,
            0.164164051,
            0.163434505,
            0.16270496,
            0.161975414,
            0.161245853,
            0.160516307,
            0.159786746,
            0.1590572,
            0.158327639,
            0.157598093,
            0.156868547,
            0.156138986,
            0.15540944,
            0.15467988,
            0.153950334,
            0.153220773,
            0.152491227,
            0.151761666,
            0.15103212,
            0.150302559,
            0.149573013,
            0.148843467,
            0.148113921,
            0.14738436,
            0.146654814,
            0.145925269,
            0.145195723,
            0.144466162,
            0.143736616,
            0.14300707,
            0.142277524,
            0.141547963,
            0.140818417,
            0.140088871,
            0.139359325,
            0.137848526,
            0.136146232,
            0.134443954,
            0.132741675,
            0.131039396,
            0.129337102,
            0.127634823,
            0.125932544,
            0.124230258,
            0.122527979,
            0.120825693,
            0.119123414,
            0.117421135,
            0.115718849,
            0.114016563,
            0.112314284,
            0.111270703,
            0.11054115,
            0.109811604,
            0.109082058,
            0.108352505,
            0.107622959,
            0.106893405,
            0.106163859,
            0.105434306,
            0.10470476,
            0.103975207,
            0.103245661,
            0.102516107,
            0.101786561,
            0.101057008,
            0.100327462,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100310229,
            0.101039775,
            0.101769328,
            0.102498874,
            0.103228427,
            0.103957973,
            0.104687527,
            0.105417073,
            0.106146626,
            0.106876172,
            0.107605726,
            0.108335271,
            0.109064817,
            0.109794371,
            0.110523924,
            0.11125347,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111730263,
            0.111000709,
            0.110271163,
            0.10954161,
            0.108812064,
            0.108082518,
            0.107352965,
            0.106623411,
            0.105893865,
            0.105164319,
            0.104434766,
            0.103705212,
            0.102975667,
            0.102246121,
            0.101516567,
            0.100787021,
            0.100057468,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100488305,
            0.101217851,
            0.101947404,
            0.10267695,
            0.103406504,
            0.10413605,
            0.104865603,
            0.105595149,
            0.106324703,
            0.107054248,
            0.107783802,
            0.108513348,
            0.109242901,
            0.109972447,
            0.110702001,
            0.111431547,
            0.1121611,
            0.112890646,
            0.113620199,
            0.114349745,
            0.115079299,
            0.115808845,
            0.116538398,
            0.117267944,
            0.117997497,
            0.118727043,
            0.119456597,
            0.120186143,
            0.120915696,
            0.121645242,
            0.122374795,
            0.123104341,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.12356773,
            0.124540463,
            0.125513196,
            0.126485929,
            0.127458662,
            0.128431395,
            0.129404128,
            0.13037686,
            0.131349593,
            0.132322326,
            0.133295059,
            0.134267792,
            0.135240525,
            0.136213258,
            0.137185991,
            0.138158724,
            0.139131457,
            0.139882073,
            0.140611619,
            0.141341165,
            0.142070711,
            0.142800272,
            0.143529817,
            0.144259363,
            0.144988909,
            0.14571847,
            0.146448016,
            0.147177562,
            0.147907108,
            0.148636669,
            0.149366215,
            0.150095761,
            0.150825307,
            0.152129307,
            0.153588414,
            0.155047506,
            0.156506613,
            0.157965705,
            0.159424812,
            0.160883904,
            0.16234301,
            0.163802102,
            0.165261209,
            0.166720301,
            0.168179393,
            0.1696385,
            0.171097606,
            0.172556698,
            0.17401579,
            0.174992353,
            0.175721914,
            0.17645146,
            0.177181005,
            0.177910551,
            0.178640112,
            0.179369658,
            0.180099204,
            0.18082875,
            0.181558311,
            0.182287857,
            0.183017403,
            0.183746949,
            0.18447651,
            0.185206056,
            0.185935602,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185613915,
            0.184884369,
            0.184154809,
            0.183425263,
            0.182695717,
            0.181966171,
            0.18123661,
            0.180507064,
            0.179777518,
            0.179047972,
            0.178318411,
            0.177588865,
            0.176859319,
            0.176129773,
            0.175400212,
            0.174670666,
            0.173941121,
            0.173211575,
            0.172482029,
            0.171752483,
            0.171022937,
            0.170293391,
            0.169563845,
            0.168834299,
            0.168104753,
            0.167375207,
            0.166645661,
            0.165916115,
            0.165186569,
            0.164457023,
            0.163727477,
            0.162997931,
            0.162268385,
            0.161538824,
            0.160809278,
            0.160079718,
            0.159350172,
            0.158620611,
            0.157891065,
            0.157161504,
            0.156431958,
            0.155702397,
            0.154972851,
            0.15424329,
            0.153513744,
            0.152784184,
            0.152054638,
            0.151325077,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151273385,
            0.152002931,
            0.152732491,
            0.153462037,
            0.154191598,
            0.154921144,
            0.155650705,
            0.156380251,
            0.157109812,
            0.157839358,
            0.158568919,
            0.159298465,
            0.160028026,
            0.160757571,
            0.161487132,
            0.162216678,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162710711,
            0.161251605,
            0.159792498,
            0.158333406,
            0.156874299,
            0.155415192,
            0.1539561,
            0.152496994,
            0.151037887,
            0.14957878,
            0.148119688,
            0.146660581,
            0.145201474,
            0.143742368,
            0.142283276,
            0.140824169,
            0.139365062,
            0.137687668,
            0.135985389,
            0.13428311,
            0.132580832,
            0.130878538,
            0.129176259,
            0.12747398,
            0.125771701,
            0.124069415,
            0.122367136,
            0.12066485,
            0.118962571,
            0.117260285,
            0.115558006,
            0.11385572,
            0.112153441,
            0.110638812,
            0.109179713,
            0.107720613,
            0.106261514,
            0.104802415,
            0.103343315,
            0.101884216,
            0.100425117,
            0.0989660174,
            0.097506918,
            0.0960478187,
            0.0945887193,
            0.09312962,
            0.0916705206,
            0.0902114213,
            0.0887523219,
            0.087136209,
            0.0854339227,
            0.0837316439,
            0.0820293576,
            0.0803270787,
            0.0786247924,
            0.0769225135,
            0.0752202272,
            0.0735179484,
            0.0718156695,
            0.0701133832,
            0.0684110969,
            0.0667088181,
            0.0650065392,
            0.0633042529,
            0.0616019741,
            0.0604052022,
            0.0596756525,
            0.0589461029,
            0.0582165569,
            0.0574870072,
            0.0567574576,
            0.0560279079,
            0.0552983582,
            0.0545688085,
            0.0538392588,
            0.0531097092,
            0.0523801595,
            0.0516506098,
            0.0509210601,
            0.0501915105,
            0.0494619608,
            0.0487324111,
            0.0480028614,
            0.0472733118,
            0.0465437621,
            0.0458142124,
            0.0450846627,
            0.0443551131,
            0.0436255634,
            0.0428960137,
            0.042166464,
            0.0414369144,
            0.0407073647,
            0.039977815,
            0.0392482653,
            0.0385187156,
            0.037789166,
            0.0370596163,
            0.0363300666,
            0.0356005169,
            0.0348709673,
            0.0341414176,
            0.0334118679,
            0.0326823182,
            0.0319527686,
            0.0312232208,
            0.0304936711,
            0.0297641214,
            0.0290345717,
            0.028305022,
            0.0275754724,
            0.0268459227,
            0.026116373,
            0.0253868233,
            0.0246572737,
            0.023927724,
            0.0231981743,
            0.0224686246,
            0.021739075,
            0.0210095271,
            0.0202799775,
            0.0195504278,
            0.0188208781,
            0.0180913284,
            0.0173617788,
            0.0166322291,
            0.0159026794,
            0.0151731297,
            0.0144435801,
            0.0137140304,
            0.0129844807,
            0.012254931,
            0.0115253814,
            0.0107958317,
            0.010066282,
            0.00933673233,
            0.00860718265,
            0.00787763298,
            0.00714808377,
            0.00641853455,
            0.00568898488,
            0.0049594352,
            0.00422988553,
            0.00350033585,
            0.00277078617,
            0.0020412365,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00121786061,
            0.000245127827,
            -0.000727605075,
            -0.00170033774,
            -0.00267307041,
            -0.00364580331,
            -0.00461853622,
            -0.00559126865,
            -0.00656400155,
            -0.00753673445,
            -0.00850946736,
            -0.00948220026,
            -0.0104549332,
            -0.0114276651,
            -0.012400398,
            -0.0133731309,
            -0.0141907632,
            -0.0149203129,
            -0.0156498626,
            -0.0163794123,
            -0.0171089619,
            -0.0178385116,
            -0.0185680613,
            -0.019297611,
            -0.0200271606,
            -0.0207567103,
            -0.0214862581,
            -0.0222158097,
            -0.0229453575,
            -0.0236749072,
            -0.0244044568,
            -0.0251340065,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0255878214,
            -0.0263173711,
            -0.0270469207,
            -0.0277764704,
            -0.0285060201,
            -0.0292355679,
            -0.0299651176,
            -0.0306946672,
            -0.0314242169,
            -0.0321537666,
            -0.0328833163,
            -0.033612866,
            -0.0343424156,
            -0.0350719653,
            -0.035801515,
            -0.0365310647,
            -0.0372606143,
            -0.037990164,
            -0.0387197137,
            -0.0394492634,
            -0.040178813,
            -0.0409083627,
            -0.0416379124,
            -0.0423674621,
            -0.0430970117,
            -0.0438265614,
            -0.0445561111,
            -0.0452856608,
            -0.0460152104,
            -0.0467447601,
            -0.0474743098,
            -0.0482038595,
            -0.0489334092,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.049387224,
            -0.05011677,
            -0.0508463196,
            -0.0515758693,
            -0.052305419,
            -0.0530349687,
            -0.0537645184,
            -0.054494068,
            -0.0552236177,
            -0.0559531674,
            -0.0566827171,
            -0.0574122667,
            -0.0581418164,
            -0.0588713661,
            -0.0596009158,
            -0.0603304654,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803
          ],
          [
            -0.0372548699,
            -0.0379844196,
            -0.0387139693,
            -0.039443519,
            -0.0401730686,
            -0.0409026183,
            -0.041632168,
            -0.0423617177,
            -0.0430912673,
            -0.043820817,
            -0.0445503667,
            -0.0452799164,
            -0.0460094661,
            -0.0467390157,
            -0.0474685654,
            -0.0481981151,
            -0.0489276648,
            -0.0496572144,
            -0.0503867641,
            -0.0511163138,
            -0.0518458635,
            -0.0525754094,
            -0.0533049628,
            -0.0540345088,
            -0.0547640622,
            -0.0554936081,
            -0.0562231578,
            -0.0569527075,
            -0.0576822571,
            -0.0584118068,
            -0.0591413565,
            -0.0598709062,
            -0.0606004559,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0613893643,
            -0.0623620972,
            -0.0633348301,
            -0.064307563,
            -0.0652802959,
            -0.0662530288,
            -0.0672257617,
            -0.0681984946,
            -0.0691712275,
            -0.0701439604,
            -0.0711166933,
            -0.0720894262,
            -0.0730621591,
            -0.074034892,
            -0.0750076249,
            -0.0759803578,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0755054802,
            -0.0745327473,
            -0.0735600144,
            -0.0725872815,
            -0.0716145486,
            -0.0706418157,
            -0.0696690828,
            -0.0686963499,
            -0.067723617,
            -0.0667508841,
            -0.0657781512,
            -0.0648054183,
            -0.0638326854,
            -0.0628599524,
            -0.0618872195,
            -0.0609144866,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0605200343,
            -0.0597904846,
            -0.0590609349,
            -0.0583313853,
            -0.0576018356,
            -0.0568722859,
            -0.0561427362,
            -0.0554131866,
            -0.0546836369,
            -0.0539540872,
            -0.0532245375,
            -0.0524949878,
            -0.0517654382,
            -0.0510358885,
            -0.0503063388,
            -0.0495767891,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490999967,
            -0.0498295464,
            -0.050559096,
            -0.0512886457,
            -0.0520181954,
            -0.0527477451,
            -0.0534772947,
            -0.0542068444,
            -0.0549363941,
            -0.0556659438,
            -0.0563954934,
            -0.0571250431,
            -0.0578545928,
            -0.0585841425,
            -0.0593136922,
            -0.0600432418,
            -0.0607727915,
            -0.0624597557,
            -0.0641620383,
            -0.0658643171,
            -0.0675666034,
            -0.0692688823,
            -0.0709711686,
            -0.0726734474,
            -0.0743757337,
            -0.0760780126,
            -0.0777802989,
            -0.0794825777,
            -0.081184864,
            -0.0828871429,
            -0.0845894217,
            -0.0862917081,
            -0.0879939944,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0887694955,
            -0.0894990489,
            -0.0902285948,
            -0.0909581482,
            -0.0916876942,
            -0.0924172401,
            -0.0931467935,
            -0.0938763469,
            -0.0946058929,
            -0.0953354388,
            -0.0960649922,
            -0.0967945457,
            -0.0975240916,
            -0.0982536376,
            -0.098983191,
            -0.0997127369,
            -0.10044229,
            -0.101171836,
            -0.101901382,
            -0.102630928,
            -0.103360482,
            -0.104090028,
            -0.104819573,
            -0.105549119,
            -0.106278673,
            -0.107008219,
            -0.107737765,
            -0.108467311,
            -0.109196864,
            -0.10992641,
            -0.110655956,
            -0.111385502,
            -0.112582274,
            -0.11428456,
            -0.115986846,
            -0.117689133,
            -0.119391419,
            -0.121093705,
            -0.122795992,
            -0.124498278,
            -0.126200557,
            -0.127902851,
            -0.129605129,
            -0.131307423,
            -0.133009702,
            -0.134711996,
            -0.136414275,
            -0.138116568,
            -0.139474183,
            -0.140203729,
            -0.140933275,
            -0.141662836,
            -0.142392382,
            -0.143121928,
            -0.143851474,
            -0.14458102,
            -0.145310581,
            -0.146040127,
            -0.146769673,
            -0.147499219,
            -0.148228779,
            -0.148958325,
            -0.149687871,
            -0.150417417,
            -0.151146978,
            -0.151876524,
            -0.15260607,
            -0.153335616,
            -0.154065177,
            -0.154794723,
            -0.155524269,
            -0.156253815,
            -0.156983376,
            -0.157712922,
            -0.158442467,
            -0.159172013,
            -0.159901574,
            -0.16063112,
            -0.161360666,
            -0.162090212,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162032768,
            -0.161303222,
            -0.160573676,
            -0.15984413,
            -0.159114569,
            -0.158385023,
            -0.157655478,
            -0.156925932,
            -0.156196371,
            -0.155466825,
            -0.154737279,
            -0.154007733,
            -0.153278172,
            -0.152548626,
            -0.15181908,
            -0.151089534,
            -0.150359973,
            -0.149630427,
            -0.148900881,
            -0.148171335,
            -0.147441775,
            -0.146712229,
            -0.145982683,
            -0.145253137,
            -0.144523576,
            -0.14379403,
            -0.143064484,
            -0.142334938,
            -0.141605377,
            -0.140875831,
            -0.140146285,
            -0.139416739,
            -0.138511017,
            -0.137538284,
            -0.136565551,
            -0.135592818,
            -0.134620085,
            -0.133647352,
            -0.132674605,
            -0.131701872,
            -0.130729139,
            -0.129756406,
            -0.128783673,
            -0.12781094,
            -0.126838207,
            -0.125865474,
            -0.124892734,
            -0.123920001,
            -0.124111481,
            -0.125084221,
            -0.126056954,
            -0.127029687,
            -0.12800242,
            -0.128975153,
            -0.129947886,
            -0.130920619,
            -0.131893367,
            -0.132866099,
            -0.133838832,
            -0.134811565,
            -0.135784298,
            -0.136757031,
            -0.137729764,
            -0.138702497,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139123768,
            -0.138151035,
            -0.137178302,
            -0.136205569,
            -0.135232821,
            -0.134260088,
            -0.133287355,
            -0.132314622,
            -0.13134189,
            -0.130369157,
            -0.129396424,
            -0.128423691,
            -0.127450943,
            -0.12647821,
            -0.125505477,
            -0.124532744,
            -0.123560011,
            -0.122822799,
            -0.122093253,
            -0.121363699,
            -0.120634146,
            -0.119904593,
            -0.119175047,
            -0.118445493,
            -0.11771594,
            -0.116986386,
            -0.116256841,
            -0.115527287,
            -0.114797734,
            -0.11406818,
            -0.113338634,
            -0.112609081,
            -0.111879528,
            -0.111149982,
            -0.110420436,
            -0.109690882,
            -0.108961336,
            -0.10823179,
            -0.107502244,
            -0.106772691,
            -0.106043145,
            -0.105313599,
            -0.104584053,
            -0.103854507,
            -0.103124954,
            -0.102395408,
            -0.101665862,
            -0.100936316,
            -0.100206763,
            -0.0994772166,
            -0.0987476632,
            -0.0980181172,
            -0.0972885638,
            -0.0965590179,
            -0.0958294719,
            -0.0950999185,
            -0.0943703651,
            -0.0936408192,
            -0.0929112732,
            -0.0921817198,
            -0.0914521664,
            -0.0907226205,
            -0.0899930745,
            -0.0892635211,
            -0.0885339752,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0878963321,
            -0.0871667862,
            -0.0864372328,
            -0.0857076868,
            -0.0849781334,
            -0.0842485875,
            -0.0835190341,
            -0.0827894881,
            -0.0820599347,
            -0.0813303888,
            -0.0806008354,
            -0.0798712894,
            -0.079141736,
            -0.0784121901,
            -0.0776826441,
            -0.0769530907,
            -0.076141201,
            -0.0751684681,
            -0.0741957352,
            -0.0732230023,
            -0.0722502694,
            -0.0712775365,
            -0.0703048036,
            -0.0693320706,
            -0.0683593452,
            -0.0673866123,
            -0.0664138794,
            -0.0654411465,
            -0.0644684136,
            -0.0634956807,
            -0.0625229478,
            -0.0615502112,
            -0.0604740791,
            -0.0590149797,
            -0.0575558804,
            -0.056096781,
            -0.0546376817,
            -0.0531785823,
            -0.051719483,
            -0.0502603836,
            -0.0488012843,
            -0.0473421849,
            -0.0458830856,
            -0.0444239862,
            -0.0429648906,
            -0.0415057912,
            -0.0400466919,
            -0.0385875925,
            -0.0371284895,
            -0.0356693938,
            -0.0342102945,
            -0.0327511951,
            -0.0312920958,
            -0.0298329964,
            -0.0283738971,
            -0.0269147977,
            -0.0254556984,
            -0.023996599,
            -0.0225374997,
            -0.0210784003,
            -0.019619301,
            -0.0181602016,
            -0.0167011023,
            -0.0152420029,
            -0.0137829036,
            -0.0113893691,
            -0.00895753689,
            -0.0065257051,
            -0.00409387331,
            -0.00166204106,
            0.000769791193,
            0.00320162252,
            0.00563345477,
            0.00806528702,
            0.0104971193,
            0.0129289515,
            0.0153607819,
            0.017792616,
            0.0202244483,
            0.0226562768,
            0.0250881091,
            0.0267080553,
            0.0281671546,
            0.029626254,
            0.0310853533,
            0.0325444527,
            0.034003552,
            0.0354626514,
            0.0369217508,
            0.0383808464,
            0.0398399457,
            0.0412990451,
            0.0427581444,
            0.0442172438,
            0.0456763431,
            0.0471354425,
            0.0485945418,
            0.0502259769,
            0.0519282594,
            0.053630542,
            0.0553328246,
            0.0570351072,
            0.0587373897,
            0.0604396686,
            0.0621419549,
            0.0638442338,
            0.0655465201,
            0.0672487989,
            0.0689510852,
            0.0706533641,
            0.0723556429,
            0.0740579292,
            0.0757602155,
            0.0773207992,
            0.0787798986,
            0.0802389979,
            0.0816980973,
            0.0831571966,
            0.084616296,
            0.0860753953,
            0.0875344947,
            0.0889935941,
            0.090452686,
            0.0919117928,
            0.0933708847,
            0.0948299915,
            0.0962890834,
            0.0977481902,
            0.0992072821,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100149378,
            0.100878932,
            0.101608478,
            0.102338031,
            0.103067577,
            0.10379713,
            0.104526676,
            0.10525623,
            0.105985776,
            0.106715329,
            0.107444875,
            0.108174428,
            0.108903974,
            0.109633528,
            0.110363074,
            0.111092627,
            0.111822173,
            0.112551726,
            0.113281272,
            0.114010826,
            0.114740372,
            0.115469925,
            0.116199471,
            0.116929024,
            0.11765857,
            0.118388116,
            0.11911767,
            0.119847223,
            0.120576769,
            0.121306315,
            0.122035868,
            0.122765422,
            0.123494968,
            0.125151291,
            0.12685357,
            0.128555864,
            0.130258143,
            0.131960422,
            0.133662701,
            0.135364994,
            0.137067273,
            0.138769552,
            0.140471831,
            0.142174125,
            0.143876404,
            0.145578682,
            0.147280961,
            0.14898324,
            0.150685534,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150652975,
            0.149923429,
            0.149193883,
            0.148464322,
            0.147734776,
            0.14700523,
            0.146275684,
            0.145546123,
            0.144816577,
            0.144087031,
            0.143357486,
            0.142627925,
            0.141898379,
            0.141168833,
            0.140439287,
            0.139709741,
            0.138901681,
            0.137928948,
            0.136956215,
            0.135983482,
            0.135010749,
            0.134038016,
            0.133065283,
            0.13209255,
            0.131119817,
            0.130147085,
            0.129174352,
            0.128201619,
            0.127228886,
            0.126256153,
            0.12528342,
            0.124310687,
            0.123385824,
            0.122656271,
            0.121926725,
            0.121197172,
            0.120467626,
            0.119738072,
            0.119008526,
            0.118278973,
            0.117549427,
            0.116819873,
            0.116090328,
            0.115360774,
            0.114631228,
            0.113901675,
            0.113172129,
            0.112442575,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.113373183,
            0.115075469,
            0.116777748,
            0.118480034,
            0.120182313,
            0.121884599,
            0.123586878,
            0.125289157,
            0.126991451,
            0.12869373,
            0.130396008,
            0.132098287,
            0.133800566,
            0.13550286,
            0.137205139,
            0.138907418,
            0.13981314,
            0.140542686,
            0.141272232,
            0.142001778,
            0.142731339,
            0.143460885,
            0.144190431,
            0.144919977,
            0.145649537,
            0.146379083,
            0.147108629,
            0.147838175,
            0.148567736,
            0.149297282,
            0.150026828,
            0.150756374,
            0.152496964,
            0.154685602,
            0.156874254,
            0.159062907,
            0.161251545,
            0.163440198,
            0.16562885,
            0.167817503,
            0.170006141,
            0.172194794,
            0.174383447,
            0.176572099,
            0.178760737,
            0.18094939,
            0.183138043,
            0.185326695,
            0.186826006,
            0.187798738,
            0.188771471,
            0.189744204,
            0.190716952,
            0.191689685,
            0.192662418,
            0.193635151,
            0.194607899,
            0.195580631,
            0.196553364,
            0.197526097,
            0.198498845,
            0.199471578,
            0.200444311,
            0.201417044,
            0.202282548,
            0.203012094,
            0.20374164,
            0.204471186,
            0.205200732,
            0.205930278,
            0.206659824,
            0.20738937,
            0.208118916,
            0.208848462,
            0.209578007,
            0.210307553,
            0.211037099,
            0.211766645,
            0.212496191,
            0.213225737,
            0.213955283,
            0.214684829,
            0.21541439,
            0.216143936,
            0.216873482,
            0.217603028,
            0.218332589,
            0.219062135,
            0.219791681,
            0.220521227,
            0.221250787,
            0.221980333,
            0.222709879,
            0.223439425,
            0.224168986,
            0.224898532,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.224898532,
            0.224168986,
            0.223439425,
            0.222709879,
            0.221980333,
            0.221250787,
            0.220521227,
            0.219791681,
            0.219062135,
            0.218332589,
            0.217603028,
            0.216873482,
            0.216143936,
            0.21541439,
            0.214684844,
            0.213955283,
            0.212559372,
            0.210857093,
            0.209154814,
            0.207452536,
            0.205750242,
            0.204047963,
            0.202345684,
            0.200643405,
            0.198941112,
            0.197238833,
            0.195536554,
            0.193834275,
            0.192131996,
            0.190429702,
            0.188727424,
            0.187025145,
            0.185866669,
            0.185137123,
            0.184407577,
            0.183678016,
            0.18294847,
            0.182218924,
            0.181489378,
            0.180759817,
            0.180030271,
            0.179300725,
            0.17857118,
            0.177841619,
            0.177112073,
            0.176382527,
            0.175652981,
            0.17492342,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174377695,
            0.173648149,
            0.172918603,
            0.172189057,
            0.171459511,
            0.170729965,
            0.170000419,
            0.169270873,
            0.168541327,
            0.167811781,
            0.167082235,
            0.166352689,
            0.165623143,
            0.164893597,
            0.164164051,
            0.163434505,
            0.162664756,
            0.161205649,
            0.159746543,
            0.158287451,
            0.156828344,
            0.155369237,
            0.15391013,
            0.152451038,
            0.150991932,
            0.149532825,
            0.148073733,
            0.146614626,
            0.145155519,
            0.143696412,
            0.142237321,
            0.140778214,
            0.139319107,
            0.138311908,
            0.137339175,
            0.136366442,
            0.135393709,
            0.134420976,
            0.133448243,
            0.13247551,
            0.131502777,
            0.130530044,
            0.129557312,
            0.128584579,
            0.127611846,
            0.126639113,
            0.12566638,
            0.124693647,
            0.123720914,
            0.122357562,
            0.120898463,
            0.119439363,
            0.117980264,
            0.116521165,
            0.115062065,
            0.113602966,
            0.112143867,
            0.110684767,
            0.109225668,
            0.107766569,
            0.106307469,
            0.10484837,
            0.103389271,
            0.101930171,
            0.100471072,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0997817367,
            0.0990521833,
            0.0983226374,
            0.097593084,
            0.096863538,
            0.0961339846,
            0.0954044387,
            0.0946748853,
            0.0939453393,
            0.0932157859,
            0.09248624,
            0.0917566866,
            0.0910271406,
            0.0902975872,
            0.0895680413,
            0.0888384879,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882008523,
            0.0874712989,
            0.0867417529,
            0.0860121995,
            0.0852826536,
            0.0845531076,
            0.0838235542,
            0.0830940008,
            0.0823644549,
            0.0816349089,
            0.0809053555,
            0.0801758021,
            0.0794462562,
            0.0787167102,
            0.0779871568,
            0.0772576109,
            0.0765280575,
            0.0771427155,
            0.0778722689,
            0.0786018148,
            0.0793313682,
            0.0800609142,
            0.0807904676,
            0.0815200135,
            0.0822495669,
            0.0829791129,
            0.0837086663,
            0.0844382122,
            0.0851677656,
            0.0858973116,
            0.086626865,
            0.0873564109,
            0.0880859643,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0887235999,
            0.0894531459,
            0.0901826993,
            0.0909122452,
            0.0916417986,
            0.0923713446,
            0.093100898,
            0.0938304439,
            0.0945599973,
            0.0952895433,
            0.0960190967,
            0.0967486426,
            0.097478196,
            0.098207742,
            0.0989372954,
            0.0996668413,
            0.100396395,
            0.101125941,
            0.101855494,
            0.10258504,
            0.103314593,
            0.104044139,
            0.104773693,
            0.105503239,
            0.106232792,
            0.106962338,
            0.107691891,
            0.108421437,
            0.109150991,
            0.109880537,
            0.11061009,
            0.111339636,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111885361,
            0.112614915,
            0.113344461,
            0.114074014,
            0.11480356,
            0.115533113,
            0.116262659,
            0.116992213,
            0.117721759,
            0.118451312,
            0.119180858,
            0.119910412,
            0.120639957,
            0.121369511,
            0.122099057,
            0.12282861,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.124417916,
            0.125390649,
            0.126363382,
            0.127336115,
            0.128308848,
            0.12928158,
            0.130254313,
            0.131227046,
            0.132199779,
            0.133172512,
            0.134145245,
            0.135117978,
            0.136090711,
            0.137063444,
            0.138036177,
            0.139008909,
            0.139790162,
            0.140519708,
            0.141249254,
            0.1419788,
            0.142708361,
            0.143437907,
            0.144167453,
            0.144896999,
            0.14562656,
            0.146356106,
            0.147085652,
            0.147815198,
            0.148544759,
            0.149274305,
            0.15000385,
            0.150733396,
            0.151462957,
            0.152192503,
            0.152922064,
            0.15365161,
            0.154381171,
            0.155110717,
            0.155840278,
            0.156569824,
            0.157299384,
            0.15802893,
            0.158758491,
            0.159488037,
            0.160217598,
            0.160947144,
            0.161676705,
            0.162406251,
            0.163135797,
            0.163865343,
            0.164594889,
            0.165324435,
            0.166053981,
            0.166783527,
            0.167513072,
            0.168242618,
            0.168972164,
            0.16970171,
            0.170431256,
            0.171160802,
            0.171890348,
            0.172619894,
            0.17334944,
            0.174078986,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174394935,
            0.173665389,
            0.172935843,
            0.172206298,
            0.171476752,
            0.170747206,
            0.17001766,
            0.169288114,
            0.168558568,
            0.167829022,
            0.167099476,
            0.16636993,
            0.165640384,
            0.164910838,
            0.164181292,
            0.163451746,
            0.162768155,
            0.163497701,
            0.164227247,
            0.164956793,
            0.165686339,
            0.166415885,
            0.167145431,
            0.167874977,
            0.168604523,
            0.169334069,
            0.170063615,
            0.170793161,
            0.171522707,
            0.172252253,
            0.172981799,
            0.173711345,
            0.174440891,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.173941121,
            0.173211575,
            0.172482029,
            0.171752483,
            0.171022937,
            0.170293391,
            0.169563845,
            0.168834299,
            0.168104753,
            0.167375207,
            0.166645661,
            0.165916115,
            0.165186569,
            0.164457023,
            0.163727477,
            0.162997931,
            0.162268385,
            0.161538824,
            0.160809278,
            0.160079718,
            0.159350172,
            0.158620611,
            0.157891065,
            0.157161504,
            0.156431958,
            0.155702397,
            0.154972851,
            0.15424329,
            0.153513744,
            0.152784184,
            0.152054638,
            0.151325077,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151273385,
            0.152002931,
            0.152732491,
            0.153462037,
            0.154191598,
            0.154921144,
            0.155650705,
            0.156380251,
            0.157109812,
            0.157839358,
            0.158568919,
            0.159298465,
            0.160028026,
            0.160757571,
            0.161487132,
            0.162216678,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162636027,
            0.161906481,
            0.16117692,
            0.160447374,
            0.159717813,
            0.158988267,
            0.158258706,
            0.15752916,
            0.1567996,
            0.156070054,
            0.155340493,
            0.154610947,
            0.153881386,
            0.15315184,
            0.152422279,
            0.151692733,
            0.150963172,
            0.150233626,
            0.14950408,
            0.148774534,
            0.148044974,
            0.147315428,
            0.146585882,
            0.145856336,
            0.14512679,
            0.144397229,
            0.143667683,
            0.142938137,
            0.142208591,
            0.14147903,
            0.140749484,
            0.140019938,
            0.139290392,
            0.137032807,
            0.134600967,
            0.132169142,
            0.129737303,
            0.127305478,
            0.124873646,
            0.122441813,
            0.120009981,
            0.117578149,
            0.115146317,
            0.112714484,
            0.110282652,
            0.10785082,
            0.105418988,
            0.102987155,
            0.100555323,
            0.098874107,
            0.0974150077,
            0.0959559083,
            0.0944968089,
            0.0930377096,
            0.0915786102,
            0.0901195109,
            0.0886604115,
            0.0872013122,
            0.0857422128,
            0.0842831135,
            0.0828240141,
            0.0813649148,
            0.0799058154,
            0.0784467161,
            0.0769876167,
            0.0758425519,
            0.074869819,
            0.0738970861,
            0.0729243532,
            0.0719516203,
            0.0709788874,
            0.0700061545,
            0.0690334216,
            0.0680606887,
            0.0670879558,
            0.0661152229,
            0.06514249,
            0.0641697571,
            0.0631970242,
            0.0622242913,
            0.0612515584,
            0.0600260682,
            0.0585669689,
            0.0571078695,
            0.0556487702,
            0.0541896708,
            0.0527305715,
            0.0512714721,
            0.0498123728,
            0.0483532734,
            0.0468941741,
            0.0454350784,
            0.0439759791,
            0.0425168797,
            0.0410577804,
            0.039598681,
            0.0381395817,
            0.0369677059,
            0.0362381563,
            0.0355086066,
            0.0347790569,
            0.0340495072,
            0.0333199576,
            0.0325904079,
            0.0318608582,
            0.0311313085,
            0.0304017588,
            0.0296722092,
            0.0289426595,
            0.0282131098,
            0.0274835601,
            0.0267540105,
            0.0260244608,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0253868233,
            0.0246572737,
            0.023927724,
            0.0231981743,
            0.0224686246,
            0.021739075,
            0.0210095271,
            0.0202799775,
            0.0195504278,
            0.0188208781,
            0.0180913284,
            0.0173617788,
            0.0166322291,
            0.0159026794,
            0.0151731297,
            0.0144435801,
            0.0137140304,
            0.0129844807,
            0.012254931,
            0.0115253814,
            0.0107958317,
            0.010066282,
            0.00933673233,
            0.00860718265,
            0.00787763298,
            0.00714808377,
            0.00641853455,
            0.00568898488,
            0.0049594352,
            0.00422988553,
            0.00350033585,
            0.00277078617,
            0.0020412365,
            0.0010953116,
            0.000122578815,
            -0.000850154087,
            -0.00182288676,
            -0.00279561942,
            -0.00376835233,
            -0.00474108523,
            -0.00571381766,
            -0.00668655057,
            -0.00765928347,
            -0.00863201637,
            -0.00960474927,
            -0.0105774822,
            -0.0115502141,
            -0.012522947,
            -0.0134956799,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0141907632,
            -0.0149203129,
            -0.0156498626,
            -0.0163794123,
            -0.0171089619,
            -0.0178385116,
            -0.0185680613,
            -0.019297611,
            -0.0200271606,
            -0.0207567103,
            -0.0214862581,
            -0.0222158097,
            -0.0229453575,
            -0.0236749072,
            -0.0244044568,
            -0.0251340065,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0252086855,
            -0.0244791359,
            -0.0237495862,
            -0.0230200365,
            -0.0222904868,
            -0.0215609372,
            -0.0208313875,
            -0.0201018378,
            -0.0193722881,
            -0.0186427385,
            -0.0179131888,
            -0.0171836391,
            -0.0164540894,
            -0.0157245398,
            -0.014994991,
            -0.0142654413,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0138231162,
            -0.0145526659,
            -0.0152822146,
            -0.0160117652,
            -0.0167413149,
            -0.0174708627,
            -0.0182004124,
            -0.0189299621,
            -0.0196595117,
            -0.0203890614,
            -0.0211186111,
            -0.0218481608,
            -0.0225777104,
            -0.0233072601,
            -0.0240368098,
            -0.0247663595,
            -0.0255016536,
            -0.0269607529,
            -0.0284198523,
            -0.0298789516,
            -0.031338051,
            -0.0327971503,
            -0.0342562497,
            -0.035715349,
            -0.0371744484,
            -0.0386335477,
            -0.0400926471,
            -0.0415517464,
            -0.0430108458,
            -0.0444699451,
            -0.0459290445,
            -0.0473881438,
            -0.0488472432,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.049387224,
            -0.05011677,
            -0.0508463196,
            -0.0515758693,
            -0.052305419,
            -0.0530349687,
            -0.0537645184,
            -0.054494068,
            -0.0552236177,
            -0.0559531674,
            -0.0566827171,
            -0.0574122667,
            -0.0581418164,
            -0.0588713661,
            -0.0596009158,
            -0.0603304654,
            -0.0605085455,
            -0.0597789958,
            -0.0590494461,
            -0.0583198965,
            -0.0575903468,
            -0.0568607971,
            -0.0561312474,
            -0.0554016978,
            -0.0546721481,
            -0.0539425984,
            -0.0532130487,
            -0.0524834991,
            -0.0517539494,
            -0.0510243997,
            -0.05029485,
            -0.0495653003,
            -0.0488357507,
            -0.048106201,
            -0.0473766513,
            -0.0466471016,
            -0.045917552,
            -0.0451880023,
            -0.0444584526,
            -0.0437289029,
            -0.042999357,
            -0.0422698036,
            -0.0415402576,
            -0.0408107042,
            -0.0400811583,
            -0.0393516049,
            -0.0386220589,
            -0.0378925055,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699
          ],
          [
            -0.0254901648,
            -0.0262197144,
            -0.0269492641,
            -0.0276788138,
            -0.0284083635,
            -0.0291379131,
            -0.0298674628,
            -0.0305970125,
            -0.0313265622,
            -0.0320561118,
            -0.0327856615,
            -0.0335152112,
            -0.0342447609,
            -0.0349743105,
            -0.0357038602,
            -0.0364334099,
            -0.0371629596,
            -0.0378925093,
            -0.0386220589,
            -0.0393516086,
            -0.0400811583,
            -0.0408107042,
            -0.0415402576,
            -0.0422698036,
            -0.042999357,
            -0.0437289029,
            -0.0444584526,
            -0.0451880023,
            -0.045917552,
            -0.0466471016,
            -0.0473766513,
            -0.048106201,
            -0.0488357507,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.04947339,
            -0.0502029397,
            -0.0509324893,
            -0.051662039,
            -0.0523915887,
            -0.0531211384,
            -0.053850688,
            -0.0545802377,
            -0.0553097874,
            -0.0560393371,
            -0.0567688867,
            -0.0574984327,
            -0.0582279861,
            -0.058957532,
            -0.0596870854,
            -0.0604166314,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.060060475,
            -0.0593309253,
            -0.0586013757,
            -0.057871826,
            -0.0571422763,
            -0.0564127266,
            -0.055683177,
            -0.0549536273,
            -0.0542240776,
            -0.0534945279,
            -0.0527649783,
            -0.0520354286,
            -0.0513058789,
            -0.0505763292,
            -0.0498467833,
            -0.0491172299,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0487553291,
            -0.0480257794,
            -0.0472962297,
            -0.0465666801,
            -0.0458371304,
            -0.0451075807,
            -0.044378031,
            -0.0436484814,
            -0.0429189317,
            -0.042189382,
            -0.0414598323,
            -0.0407302827,
            -0.040000733,
            -0.0392711833,
            -0.0385416336,
            -0.037812084,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0373352915,
            -0.0380648412,
            -0.0387943909,
            -0.0395239405,
            -0.0402534902,
            -0.0409830399,
            -0.0417125896,
            -0.0424421392,
            -0.0431716889,
            -0.0439012386,
            -0.0446307883,
            -0.0453603379,
            -0.0460898876,
            -0.0468194373,
            -0.047548987,
            -0.0482785366,
            -0.0490080863,
            -0.049737636,
            -0.0504671857,
            -0.0511967354,
            -0.051926285,
            -0.0526558347,
            -0.0533853844,
            -0.0541149341,
            -0.0548444837,
            -0.0555740334,
            -0.0563035831,
            -0.0570331328,
            -0.0577626824,
            -0.0584922321,
            -0.0592217818,
            -0.0599513277,
            -0.0606808811,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.061816372,
            -0.0635186583,
            -0.0652209371,
            -0.066923216,
            -0.0686255023,
            -0.0703277886,
            -0.0720300674,
            -0.0737323463,
            -0.0754346326,
            -0.0771369115,
            -0.0788391978,
            -0.0805414766,
            -0.0822437629,
            -0.0839460418,
            -0.0856483281,
            -0.0873506069,
            -0.088936083,
            -0.0903951824,
            -0.0918542817,
            -0.0933133811,
            -0.094772473,
            -0.0962315723,
            -0.0976906717,
            -0.0991497636,
            -0.100608863,
            -0.102067962,
            -0.103527062,
            -0.104986154,
            -0.106445253,
            -0.107904352,
            -0.109363452,
            -0.110822544,
            -0.112023145,
            -0.112752691,
            -0.113482244,
            -0.114211798,
            -0.114941351,
            -0.115670897,
            -0.11640045,
            -0.117130004,
            -0.117859557,
            -0.118589103,
            -0.119318657,
            -0.12004821,
            -0.120777756,
            -0.121507309,
            -0.122236863,
            -0.122966416,
            -0.123751499,
            -0.124724232,
            -0.125696957,
            -0.126669705,
            -0.127642438,
            -0.128615171,
            -0.129587904,
            -0.130560637,
            -0.131533369,
            -0.132506102,
            -0.133478835,
            -0.134451583,
            -0.135424316,
            -0.136397049,
            -0.137369782,
            -0.138342515,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.138265923,
            -0.13729319,
            -0.136320457,
            -0.135347724,
            -0.134374976,
            -0.133402243,
            -0.13242951,
            -0.131456777,
            -0.130484045,
            -0.129511312,
            -0.128538579,
            -0.127565846,
            -0.126593113,
            -0.125620365,
            -0.12464764,
            -0.123674899,
            -0.122908972,
            -0.122179419,
            -0.121449865,
            -0.120720312,
            -0.119990766,
            -0.119261213,
            -0.118531659,
            -0.117802106,
            -0.11707256,
            -0.116343006,
            -0.115613453,
            -0.1148839,
            -0.114154354,
            -0.1134248,
            -0.112695247,
            -0.111965701,
            -0.111236148,
            -0.110506602,
            -0.109777056,
            -0.109047502,
            -0.108317956,
            -0.10758841,
            -0.106858864,
            -0.106129311,
            -0.105399765,
            -0.104670219,
            -0.103940673,
            -0.10321112,
            -0.102481574,
            -0.101752028,
            -0.101022482,
            -0.100292936,
            -0.100436546,
            -0.101166092,
            -0.101895638,
            -0.102625184,
            -0.103354737,
            -0.104084283,
            -0.104813829,
            -0.105543375,
            -0.106272928,
            -0.107002474,
            -0.10773202,
            -0.108461566,
            -0.10919112,
            -0.109920666,
            -0.110650212,
            -0.111379758,
            -0.112109311,
            -0.112838864,
            -0.11356841,
            -0.114297964,
            -0.115027517,
            -0.115757063,
            -0.116486616,
            -0.11721617,
            -0.117945723,
            -0.118675269,
            -0.119404823,
            -0.120134376,
            -0.120863929,
            -0.121593475,
            -0.122323029,
            -0.123052582,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123460442,
            -0.122730888,
            -0.122001335,
            -0.121271789,
            -0.120542236,
            -0.119812682,
            -0.119083129,
            -0.118353583,
            -0.11762403,
            -0.116894476,
            -0.116164923,
            -0.115435377,
            -0.114705823,
            -0.11397627,
            -0.113246724,
            -0.112517171,
            -0.111787617,
            -0.110351495,
            -0.108892404,
            -0.107433304,
            -0.105974205,
            -0.104515105,
            -0.103056014,
            -0.101596914,
            -0.100137815,
            -0.098678723,
            -0.0972196236,
            -0.0957605243,
            -0.0943014249,
            -0.0928423256,
            -0.0913832337,
            -0.0899241343,
            -0.088465035,
            -0.0876206011,
            -0.0868910477,
            -0.0861615017,
            -0.0854319483,
            -0.0847024024,
            -0.083972849,
            -0.083243303,
            -0.0825137496,
            -0.0817842036,
            -0.0810546502,
            -0.0803251043,
            -0.0795955509,
            -0.0788660049,
            -0.0781364515,
            -0.0774069056,
            -0.0766773522,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0760186538,
            -0.0750459209,
            -0.074073188,
            -0.0731004551,
            -0.0721277222,
            -0.0711549893,
            -0.0701822564,
            -0.0692095235,
            -0.0682367906,
            -0.0672640577,
            -0.0662913248,
            -0.0653185919,
            -0.064345859,
            -0.0633731261,
            -0.0624003932,
            -0.0614276603,
            -0.0605372675,
            -0.0598077178,
            -0.0590781681,
            -0.0583486184,
            -0.0576190688,
            -0.0568895191,
            -0.0561599694,
            -0.0554304197,
            -0.0547008701,
            -0.0539713204,
            -0.0532417707,
            -0.052512221,
            -0.0517826714,
            -0.0510531217,
            -0.050323572,
            -0.0495940223,
            -0.0487093739,
            -0.0472502746,
            -0.0457911752,
            -0.0443320759,
            -0.0428729765,
            -0.0414138772,
            -0.0399547778,
            -0.0384956785,
            -0.0370365791,
            -0.0355774797,
            -0.0341183804,
            -0.032659281,
            -0.0312001836,
            -0.0297410842,
            -0.0282819849,
            -0.0268228855,
            -0.0253427234,
            -0.0236404408,
            -0.0219381582,
            -0.0202358756,
            -0.018533593,
            -0.0168313123,
            -0.0151290288,
            -0.0134267462,
            -0.0117244637,
            -0.010022182,
            -0.00831989944,
            -0.00661761686,
            -0.00491533428,
            -0.00321305171,
            -0.00151076913,
            0.000191513449,
            0.00189379416,
            0.00336246844,
            0.0048215678,
            0.00628066668,
            0.00773976604,
            0.00919886492,
            0.0106579643,
            0.0121170636,
            0.013576163,
            0.0150352614,
            0.0164943598,
            0.0179534592,
            0.0194125585,
            0.0208716579,
            0.0223307572,
            0.0237898566,
            0.0252489559,
            0.0273169708,
            0.0295056198,
            0.0316942669,
            0.033882916,
            0.036071565,
            0.038260214,
            0.0404488631,
            0.0426375121,
            0.0448261611,
            0.0470148101,
            0.0492034592,
            0.0513921082,
            0.0535807535,
            0.0557694063,
            0.0579580516,
            0.0601467006,
            0.061990682,
            0.0636929646,
            0.0653952435,
            0.0670975298,
            0.0687998086,
            0.0705020949,
            0.0722043738,
            0.0739066601,
            0.0756089389,
            0.0773112252,
            0.0790135041,
            0.0807157904,
            0.0824180692,
            0.0841203481,
            0.0858226344,
            0.0875249207,
            0.0886604115,
            0.0893899575,
            0.0901195109,
            0.0908490568,
            0.0915786102,
            0.0923081562,
            0.0930377096,
            0.0937672555,
            0.0944968089,
            0.0952263549,
            0.0959559083,
            0.0966854542,
            0.0974150077,
            0.0981445536,
            0.098874107,
            0.099603653,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100149378,
            0.100878932,
            0.101608478,
            0.102338031,
            0.103067577,
            0.10379713,
            0.104526676,
            0.10525623,
            0.105985776,
            0.106715329,
            0.107444875,
            0.108174428,
            0.108903974,
            0.109633528,
            0.110363074,
            0.111092627,
            0.111822173,
            0.112551726,
            0.113281272,
            0.114010826,
            0.114740372,
            0.115469925,
            0.116199471,
            0.116929024,
            0.11765857,
            0.118388116,
            0.11911767,
            0.119847223,
            0.120576769,
            0.121306315,
            0.122035868,
            0.122765422,
            0.123494968,
            0.124456212,
            0.125428945,
            0.126401678,
            0.127374411,
            0.128347144,
            0.129319876,
            0.130292609,
            0.131265342,
            0.132238075,
            0.133210808,
            0.134183541,
            0.135156274,
            0.136129007,
            0.13710174,
            0.138074473,
            0.139047205,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.138779134,
            0.137806401,
            0.136833668,
            0.135860935,
            0.134888202,
            0.133915469,
            0.132942736,
            0.131970003,
            0.13099727,
            0.130024537,
            0.129051805,
            0.128079072,
            0.127106339,
            0.126133606,
            0.125160873,
            0.124188133,
            0.123293914,
            0.12256436,
            0.121834815,
            0.121105261,
            0.120375715,
            0.119646162,
            0.118916616,
            0.118187062,
            0.117457516,
            0.116727963,
            0.115998417,
            0.115268864,
            0.114539318,
            0.113809764,
            0.113080218,
            0.112350665,
            0.111621119,
            0.110891566,
            0.11016202,
            0.109432466,
            0.10870292,
            0.107973367,
            0.107243821,
            0.106514268,
            0.105784722,
            0.105055168,
            0.104325622,
            0.103596069,
            0.102866523,
            0.10213697,
            0.101407424,
            0.10067787,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100689359,
            0.101418912,
            0.102148458,
            0.102878012,
            0.103607558,
            0.104337111,
            0.105066657,
            0.10579621,
            0.106525756,
            0.10725531,
            0.107984856,
            0.108714409,
            0.109443955,
            0.110173509,
            0.110903054,
            0.111632608,
            0.113158725,
            0.114861004,
            0.11656329,
            0.118265569,
            0.119967856,
            0.121670134,
            0.123372421,
            0.1250747,
            0.126776978,
            0.128479272,
            0.130181551,
            0.13188383,
            0.133586109,
            0.135288388,
            0.136990681,
            0.13869296,
            0.140732259,
            0.142920896,
            0.145109549,
            0.147298202,
            0.14948684,
            0.151675493,
            0.153864145,
            0.156052798,
            0.158241436,
            0.160430089,
            0.162618741,
            0.164807394,
            0.166996032,
            0.169184685,
            0.171373338,
            0.17356199,
            0.17492342,
            0.175652981,
            0.176382527,
            0.177112073,
            0.177841619,
            0.17857118,
            0.179300725,
            0.180030271,
            0.180759817,
            0.181489378,
            0.182218924,
            0.18294847,
            0.183678016,
            0.184407577,
            0.185137123,
            0.185866669,
            0.186703458,
            0.187676191,
            0.188648924,
            0.189621657,
            0.190594405,
            0.191567138,
            0.192539871,
            0.193512604,
            0.194485337,
            0.195458084,
            0.196430817,
            0.19740355,
            0.198376283,
            0.199349031,
            0.200321764,
            0.201294497,
            0.202190638,
            0.202920184,
            0.203649729,
            0.204379275,
            0.205108821,
            0.205838367,
            0.206567913,
            0.207297459,
            0.208027005,
            0.208756551,
            0.209486097,
            0.210215643,
            0.210945189,
            0.211674735,
            0.212404281,
            0.213133827,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213133827,
            0.212404281,
            0.211674735,
            0.210945189,
            0.210215643,
            0.209486097,
            0.208756551,
            0.208027005,
            0.207297459,
            0.206567913,
            0.205838367,
            0.205108821,
            0.204379275,
            0.203649729,
            0.202920184,
            0.202190638,
            0.200794727,
            0.199092448,
            0.197390154,
            0.195687875,
            0.193985581,
            0.192283303,
            0.190581009,
            0.18887873,
            0.187176436,
            0.185474157,
            0.183771864,
            0.182069585,
            0.180367291,
            0.178665012,
            0.176962718,
            0.17526044,
            0.174101964,
            0.173372418,
            0.172642872,
            0.171913326,
            0.17118378,
            0.170454234,
            0.169724688,
            0.168995142,
            0.168265596,
            0.16753605,
            0.166806504,
            0.166076958,
            0.165347412,
            0.164617866,
            0.16388832,
            0.163158774,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162613049,
            0.161883503,
            0.161153942,
            0.160424396,
            0.159694836,
            0.15896529,
            0.158235729,
            0.157506183,
            0.156776622,
            0.156047076,
            0.155317515,
            0.154587969,
            0.153858408,
            0.153128862,
            0.152399302,
            0.151669756,
            0.15088658,
            0.149184301,
            0.147482023,
            0.145779744,
            0.14407745,
            0.142375171,
            0.140672892,
            0.138970613,
            0.137268335,
            0.135566041,
            0.133863762,
            0.132161483,
            0.130459204,
            0.128756911,
            0.127054632,
            0.125352353,
            0.123650067,
            0.122851588,
            0.122122034,
            0.121392488,
            0.120662935,
            0.119933389,
            0.119203836,
            0.11847429,
            0.117744736,
            0.11701519,
            0.116285637,
            0.115556091,
            0.114826538,
            0.114096992,
            0.113367438,
            0.112637892,
            0.111908339,
            0.111178793,
            0.11044924,
            0.109719694,
            0.10899014,
            0.108260594,
            0.107531041,
            0.106801495,
            0.106071942,
            0.105342396,
            0.104612842,
            0.103883296,
            0.103153743,
            0.102424197,
            0.101694643,
            0.100965098,
            0.100235552,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0996898189,
            0.098960273,
            0.0982307196,
            0.0975011736,
            0.0967716202,
            0.0960420743,
            0.0953125209,
            0.0945829749,
            0.0938534215,
            0.0931238756,
            0.0923943222,
            0.0916647762,
            0.0909352303,
            0.0902056769,
            0.0894761235,
            0.0887465775,
            0.0880170316,
            0.0872874781,
            0.0865579322,
            0.0858283788,
            0.0850988328,
            0.0843692794,
            0.0836397335,
            0.0829101801,
            0.0821806341,
            0.0814510807,
            0.0807215348,
            0.0799919814,
            0.0792624354,
            0.078532882,
            0.0778033361,
            0.0770737827,
            0.0763021111,
            0.0753293782,
            0.0743566453,
            0.0733839124,
            0.0724111795,
            0.0714384466,
            0.0704657137,
            0.0694929808,
            0.0685202479,
            0.067547515,
            0.0665747821,
            0.0656020492,
            0.0646293163,
            0.0636565834,
            0.0626838505,
            0.0617111176,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0616804808,
            0.0626532137,
            0.0636259466,
            0.0645986795,
            0.0655714124,
            0.0665441453,
            0.0675168782,
            0.0684896111,
            0.0694623441,
            0.070435077,
            0.0714078099,
            0.0723805428,
            0.0733532757,
            0.0743260086,
            0.0752987415,
            0.0762714744,
            0.0770508051,
            0.0777803585,
            0.0785099044,
            0.0792394578,
            0.0799690038,
            0.0806985572,
            0.0814281031,
            0.0821576566,
            0.0828872025,
            0.0836167559,
            0.0843463019,
            0.0850758553,
            0.0858054012,
            0.0865349472,
            0.0872645006,
            0.087994054,
            0.0887235999,
            0.0894531459,
            0.0901826993,
            0.0909122452,
            0.0916417986,
            0.0923713446,
            0.093100898,
            0.0938304439,
            0.0945599973,
            0.0952895433,
            0.0960190967,
            0.0967486426,
            0.097478196,
            0.098207742,
            0.0989372954,
            0.0996668413,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100120656,
            0.10085021,
            0.101579756,
            0.102309309,
            0.103038855,
            0.103768408,
            0.104497954,
            0.105227508,
            0.105957054,
            0.106686607,
            0.107416153,
            0.108145706,
            0.108875252,
            0.109604806,
            0.110334352,
            0.111063905,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.112339176,
            0.11306873,
            0.113798276,
            0.114527829,
            0.115257375,
            0.115986928,
            0.116716474,
            0.117446028,
            0.118175574,
            0.118905127,
            0.119634673,
            0.120364219,
            0.121093772,
            0.121823326,
            0.122552872,
            0.123282418,
            0.124172814,
            0.125145555,
            0.126118287,
            0.12709102,
            0.128063753,
            0.129036486,
            0.130009219,
            0.130981952,
            0.131954685,
            0.132927418,
            0.133900151,
            0.134872884,
            0.135845616,
            0.136818349,
            0.137791082,
            0.138763815,
            0.139606327,
            0.140335888,
            0.141065434,
            0.14179498,
            0.142524526,
            0.143254086,
            0.143983632,
            0.144713178,
            0.145442724,
            0.146172285,
            0.146901831,
            0.147631377,
            0.148360923,
            0.149090484,
            0.14982003,
            0.150549576,
            0.151279122,
            0.152008682,
            0.152738228,
            0.153467789,
            0.154197335,
            0.154926896,
            0.155656442,
            0.156386003,
            0.157115549,
            0.15784511,
            0.158574656,
            0.159304217,
            0.160033762,
            0.160763323,
            0.161492869,
            0.16222243,
            0.162538379,
            0.161808819,
            0.161079273,
            0.160349712,
            0.159620166,
            0.158890605,
            0.158161059,
            0.157431498,
            0.156701952,
            0.155972391,
            0.155242845,
            0.154513285,
            0.153783739,
            0.153054178,
            0.152324632,
            0.151595071,
            0.150865525,
            0.150135979,
            0.149406418,
            0.148676872,
            0.147947326,
            0.14721778,
            0.146488219,
            0.145758674,
            0.145029128,
            0.144299582,
            0.143570021,
            0.142840475,
            0.142110929,
            0.141381383,
            0.140651822,
            0.139922276,
            0.139238685,
            0.139968231,
            0.140697792,
            0.141427338,
            0.142156884,
            0.14288643,
            0.143615991,
            0.144345537,
            0.145075083,
            0.145804629,
            0.146534175,
            0.147263736,
            0.147993281,
            0.148722827,
            0.149452373,
            0.150181934,
            0.15091148,
            0.151641026,
            0.152370587,
            0.153100133,
            0.153829694,
            0.15455924,
            0.155288801,
            0.156018347,
            0.156747907,
            0.157477453,
            0.158207014,
            0.15893656,
            0.159666121,
            0.160395667,
            0.161125228,
            0.161854774,
            0.162584335,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162268385,
            0.161538824,
            0.160809278,
            0.160079718,
            0.159350172,
            0.158620611,
            0.157891065,
            0.157161504,
            0.156431958,
            0.155702397,
            0.154972851,
            0.15424329,
            0.153513744,
            0.152784184,
            0.152054638,
            0.151325077,
            0.151365295,
            0.152094856,
            0.152824402,
            0.153553963,
            0.154283509,
            0.155013055,
            0.155742615,
            0.156472161,
            0.157201722,
            0.157931268,
            0.158660829,
            0.159390375,
            0.160119936,
            0.160849482,
            0.161579043,
            0.162308589,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162544116,
            0.16181457,
            0.16108501,
            0.160355464,
            0.159625903,
            0.158896357,
            0.158166796,
            0.15743725,
            0.156707689,
            0.155978143,
            0.155248582,
            0.154519036,
            0.153789476,
            0.15305993,
            0.152330369,
            0.151600823,
            0.150871262,
            0.150141716,
            0.14941217,
            0.148682624,
            0.147953063,
            0.147223517,
            0.146493971,
            0.145764425,
            0.145034865,
            0.144305319,
            0.143575773,
            0.142846227,
            0.142116666,
            0.14138712,
            0.140657574,
            0.139928028,
            0.13919273,
            0.138219997,
            0.137247264,
            0.136274531,
            0.135301799,
            0.134329066,
            0.133356333,
            0.1323836,
            0.131410867,
            0.130438134,
            0.129465401,
            0.128492668,
            0.127519935,
            0.126547202,
            0.12557447,
            0.124601737,
            0.123629004,
            0.122219689,
            0.12076059,
            0.11930149,
            0.117842391,
            0.116383292,
            0.114924192,
            0.113465101,
            0.112005994,
            0.110546902,
            0.109087795,
            0.107628703,
            0.106169596,
            0.104710504,
            0.103251405,
            0.101792306,
            0.100333206,
            0.098874107,
            0.0974150077,
            0.0959559083,
            0.0944968089,
            0.0930377096,
            0.0915786102,
            0.0901195109,
            0.0886604115,
            0.0872013122,
            0.0857422128,
            0.0842831135,
            0.0828240141,
            0.0813649148,
            0.0799058154,
            0.0784467161,
            0.0769876167,
            0.0758425519,
            0.074869819,
            0.0738970861,
            0.0729243532,
            0.0719516203,
            0.0709788874,
            0.0700061545,
            0.0690334216,
            0.0680606887,
            0.0670879558,
            0.0661152229,
            0.06514249,
            0.0641697571,
            0.0631970242,
            0.0622242913,
            0.0612515584,
            0.0600260682,
            0.0585669689,
            0.0571078695,
            0.0556487702,
            0.0541896708,
            0.0527305715,
            0.0512714721,
            0.0498123728,
            0.0483532734,
            0.0468941741,
            0.0454350784,
            0.0439759791,
            0.0425168797,
            0.0410577804,
            0.039598681,
            0.0381395817,
            0.0369677059,
            0.0362381563,
            0.0355086066,
            0.0347790569,
            0.0340495072,
            0.0333199576,
            0.0325904079,
            0.0318608582,
            0.0311313085,
            0.0304017588,
            0.0296722092,
            0.0289426595,
            0.0282131098,
            0.0274835601,
            0.0267540105,
            0.0260244608,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254787356,
            0.0247491859,
            0.0240196362,
            0.0232900865,
            0.0225605369,
            0.0218309872,
            0.0211014375,
            0.0203718878,
            0.0196423382,
            0.0189127885,
            0.0181832388,
            0.0174536891,
            0.0167241395,
            0.0159945898,
            0.015265041,
            0.0145354914,
            0.0138059417,
            0.0122108897,
            0.0105086081,
            0.0088063255,
            0.00710404292,
            0.00540176034,
            0.00369947776,
            0.00199719612,
            0.000294913538,
            -0.00140736904,
            -0.00310965069,
            -0.00481193326,
            -0.00651421584,
            -0.00821649842,
            -0.009918781,
            -0.0116210636,
            -0.0133233462,
            -0.0142826745,
            -0.0150122242,
            -0.0157417729,
            -0.0164713226,
            -0.0172008723,
            -0.017930422,
            -0.0186599717,
            -0.0193895213,
            -0.020119071,
            -0.0208486207,
            -0.0215781704,
            -0.02230772,
            -0.0230372697,
            -0.0237668194,
            -0.0244963691,
            -0.0252259187,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0252086855,
            -0.0244791359,
            -0.0237495862,
            -0.0230200365,
            -0.0222904868,
            -0.0215609372,
            -0.0208313875,
            -0.0201018378,
            -0.0193722881,
            -0.0186427385,
            -0.0179131888,
            -0.0171836391,
            -0.0164540894,
            -0.0157245398,
            -0.014994991,
            -0.0142654413,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0138231162,
            -0.0145526659,
            -0.0152822146,
            -0.0160117652,
            -0.0167413149,
            -0.0174708627,
            -0.0182004124,
            -0.0189299621,
            -0.0196595117,
            -0.0203890614,
            -0.0211186111,
            -0.0218481608,
            -0.0225777104,
            -0.0233072601,
            -0.0240368098,
            -0.0247663595,
            -0.0254959092,
            -0.0262254588,
            -0.0269550085,
            -0.0276845582,
            -0.0284141079,
            -0.0291436575,
            -0.0298732072,
            -0.0306027569,
            -0.0313323066,
            -0.0320618562,
            -0.0327914059,
            -0.0335209556,
            -0.0342505053,
            -0.0349800549,
            -0.0357096046,
            -0.0364391543,
            -0.037168704,
            -0.0378982536,
            -0.0386278033,
            -0.039357353,
            -0.0400869027,
            -0.0408164486,
            -0.041546002,
            -0.042275548,
            -0.0430051014,
            -0.0437346473,
            -0.044464197,
            -0.0451937467,
            -0.0459232964,
            -0.046652846,
            -0.0473823957,
            -0.0481119454,
            -0.0488414951,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0487438403,
            -0.0480142906,
            -0.047284741,
            -0.0465551913,
            -0.0458256416,
            -0.0450960919,
            -0.0443665422,
            -0.0436369926,
            -0.0429074429,
            -0.0421778932,
            -0.0414483435,
            -0.0407187939,
            -0.0399892442,
            -0.0392596945,
            -0.0385301448,
            -0.0378005952,
            -0.0370710455,
            -0.0363414958,
            -0.0356119461,
            -0.0348823965,
            -0.0341528468,
            -0.0334232971,
            -0.0326937474,
            -0.0319641978,
            -0.0312346499,
            -0.0305051003,
            -0.0297755506,
            -0.0290460009,
            -0.0283164512,
            -0.0275869016,
            -0.0268573519,
            -0.0261278022,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648
          ],
          [
            -0.0137254596,
            -0.0151845589,
            -0.0166436583,
            -0.0181027576,
            -0.019561857,
            -0.0210209563,
            -0.0224800557,
            -0.023939155,
            -0.0253982525,
            -0.0268573519,
            -0.0283164512,
            -0.0297755506,
            -0.0312346499,
            -0.0326937512,
            -0.0341528505,
            -0.0356119499,
            -0.0370710455,
            -0.0378925093,
            -0.0386220589,
            -0.0393516086,
            -0.0400811583,
            -0.0408107042,
            -0.0415402576,
            -0.0422698036,
            -0.042999357,
            -0.0437289029,
            -0.0444584526,
            -0.0451880023,
            -0.045917552,
            -0.0466471016,
            -0.0473766513,
            -0.048106201,
            -0.0488357507,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0475719646,
            -0.0461128652,
            -0.0446537659,
            -0.0431946665,
            -0.0417355672,
            -0.0402764678,
            -0.0388173684,
            -0.0373582691,
            -0.0358991697,
            -0.0344400704,
            -0.032980971,
            -0.0315218717,
            -0.0300627742,
            -0.0286036748,
            -0.0271445774,
            -0.025685478,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.025846323,
            -0.0265758727,
            -0.0273054224,
            -0.028034972,
            -0.0287645217,
            -0.0294940714,
            -0.0302236192,
            -0.0309531689,
            -0.0316827185,
            -0.0324122682,
            -0.0331418179,
            -0.0338713676,
            -0.0346009172,
            -0.0353304669,
            -0.0360600166,
            -0.0367895663,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0381395221,
            -0.0395986214,
            -0.0410577208,
            -0.0425168201,
            -0.0439759158,
            -0.0454350188,
            -0.0468941145,
            -0.0483532138,
            -0.0498123132,
            -0.0512714125,
            -0.0527305119,
            -0.0541896112,
            -0.0556487106,
            -0.0571078099,
            -0.0585669093,
            -0.0600260086,
            -0.0616019107,
            -0.0633041933,
            -0.0650064796,
            -0.0667087585,
            -0.0684110448,
            -0.0701133236,
            -0.0718156099,
            -0.0735178888,
            -0.0752201676,
            -0.0769224539,
            -0.0786247402,
            -0.0803270191,
            -0.0820292979,
            -0.0837315843,
            -0.0854338631,
            -0.0871361494,
            -0.0884937644,
            -0.0892233104,
            -0.0899528563,
            -0.0906824097,
            -0.0914119557,
            -0.0921415091,
            -0.092871055,
            -0.0936006084,
            -0.0943301544,
            -0.0950597078,
            -0.0957892537,
            -0.0965188071,
            -0.0972483531,
            -0.0979779065,
            -0.0987074524,
            -0.0994370058,
            -0.100166552,
            -0.100896105,
            -0.101625651,
            -0.102355197,
            -0.103084743,
            -0.103814289,
            -0.104543842,
            -0.105273388,
            -0.106002934,
            -0.10673248,
            -0.107462034,
            -0.10819158,
            -0.108921126,
            -0.109650671,
            -0.110380225,
            -0.111109771,
            -0.111839317,
            -0.11256887,
            -0.113298424,
            -0.11402797,
            -0.114757523,
            -0.115487076,
            -0.11621663,
            -0.116946176,
            -0.117675729,
            -0.118405282,
            -0.119134836,
            -0.119864382,
            -0.120593935,
            -0.121323489,
            -0.122053042,
            -0.122782588,
            -0.123512141,
            -0.122817054,
            -0.122087508,
            -0.121357955,
            -0.120628402,
            -0.119898848,
            -0.119169302,
            -0.118439749,
            -0.117710195,
            -0.116980642,
            -0.116251096,
            -0.115521543,
            -0.114791989,
            -0.114062443,
            -0.11333289,
            -0.112603337,
            -0.111873783,
            -0.110523835,
            -0.109064735,
            -0.107605636,
            -0.106146544,
            -0.104687445,
            -0.103228346,
            -0.101769246,
            -0.100310154,
            -0.0988510549,
            -0.0973919556,
            -0.0959328562,
            -0.0944737643,
            -0.0930146649,
            -0.0915555656,
            -0.0900964737,
            -0.0886373743,
            -0.087706767,
            -0.0869772136,
            -0.0862476677,
            -0.0855181143,
            -0.0847885683,
            -0.0840590149,
            -0.083329469,
            -0.082599923,
            -0.0818703696,
            -0.0811408162,
            -0.0804112703,
            -0.0796817243,
            -0.0789521709,
            -0.078222625,
            -0.0774930716,
            -0.0767635256,
            -0.0769071355,
            -0.0776366815,
            -0.0783662349,
            -0.0790957808,
            -0.0798253343,
            -0.0805548802,
            -0.0812844336,
            -0.0820139796,
            -0.082743533,
            -0.0834730789,
            -0.0842026323,
            -0.0849321783,
            -0.0856617317,
            -0.0863912776,
            -0.087120831,
            -0.087850377,
            -0.0885799304,
            -0.0893094763,
            -0.0900390297,
            -0.0907685757,
            -0.0914981291,
            -0.092227675,
            -0.0929572284,
            -0.0936867744,
            -0.0944163278,
            -0.0951458737,
            -0.0958754271,
            -0.0966049731,
            -0.097334519,
            -0.0980640724,
            -0.0987936258,
            -0.0995231718,
            -0.100252718,
            -0.100982271,
            -0.101711817,
            -0.102441363,
            -0.103170909,
            -0.103900462,
            -0.104630008,
            -0.105359554,
            -0.1060891,
            -0.106818654,
            -0.1075482,
            -0.108277746,
            -0.109007291,
            -0.109736845,
            -0.110466391,
            -0.111195937,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111695707,
            -0.110966161,
            -0.110236607,
            -0.109507062,
            -0.108777516,
            -0.10804797,
            -0.107318416,
            -0.10658887,
            -0.105859324,
            -0.105129778,
            -0.104400232,
            -0.103670679,
            -0.102941133,
            -0.102211587,
            -0.101482034,
            -0.100752488,
            -0.100022942,
            -0.097644724,
            -0.0952128917,
            -0.0927810594,
            -0.0903492272,
            -0.0879173949,
            -0.0854855627,
            -0.0830537379,
            -0.0806218982,
            -0.0781900734,
            -0.0757582337,
            -0.0733264089,
            -0.0708945692,
            -0.0684627444,
            -0.0660309047,
            -0.0635990798,
            -0.0611672476,
            -0.0601696223,
            -0.0594400689,
            -0.0587105229,
            -0.0579809733,
            -0.0572514236,
            -0.0565218739,
            -0.0557923242,
            -0.0550627746,
            -0.0543332249,
            -0.0536036752,
            -0.0528741255,
            -0.0521445759,
            -0.0514150262,
            -0.0506854765,
            -0.0499559268,
            -0.0492263772,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0485887378,
            -0.0478591882,
            -0.0471296385,
            -0.0464000888,
            -0.0456705391,
            -0.0449409895,
            -0.0442114398,
            -0.0434818901,
            -0.0427523404,
            -0.0420227945,
            -0.0412932411,
            -0.0405636951,
            -0.0398341417,
            -0.0391045958,
            -0.0383750424,
            -0.0376454964,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0370078571,
            -0.0362783074,
            -0.0355487578,
            -0.0348192081,
            -0.0340896584,
            -0.0333601087,
            -0.0326305591,
            -0.0319010094,
            -0.0311714597,
            -0.03044191,
            -0.0297123604,
            -0.0289828107,
            -0.028253261,
            -0.0275237113,
            -0.0267941616,
            -0.026064612,
            -0.0253350642,
            -0.0246055145,
            -0.0238759648,
            -0.0231464151,
            -0.0224168655,
            -0.0216873158,
            -0.0209577661,
            -0.0202282164,
            -0.0194986667,
            -0.0187691171,
            -0.0180395674,
            -0.0173100177,
            -0.0165804699,
            -0.0158509202,
            -0.0151213696,
            -0.0143918199,
            -0.0135780182,
            -0.0118757356,
            -0.010173453,
            -0.00847117044,
            -0.00676888833,
            -0.00506660622,
            -0.00336432364,
            -0.00166204106,
            4.02415171e-5,
            0.00174252316,
            0.00344480574,
            0.00514708832,
            0.0068493709,
            0.00855165347,
            0.0102539361,
            0.0119562186,
            0.0136584993,
            0.0151271736,
            0.016586272,
            0.0180453714,
            0.0195044708,
            0.0209635701,
            0.0224226695,
            0.0238817688,
            0.0253408682,
            0.0267999656,
            0.028259065,
            0.0297181644,
            0.0311772637,
            0.0326363631,
            0.0340954624,
            0.0355545618,
            0.0370136611,
            0.0392846465,
            0.0417164788,
            0.044148311,
            0.0465801433,
            0.0490119755,
            0.0514438078,
            0.05387564,
            0.0563074723,
            0.0587393045,
            0.0611711368,
            0.0636029691,
            0.0660348013,
            0.0684666336,
            0.0708984584,
            0.0733302981,
            0.0757621229,
            0.07750462,
            0.0789637193,
            0.0804228187,
            0.081881918,
            0.0833410174,
            0.0848001167,
            0.0862592161,
            0.0877183154,
            0.0891774148,
            0.0906365141,
            0.0920956135,
            0.0935547128,
            0.0950138122,
            0.0964729115,
            0.0979320109,
            0.0993911102,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100149378,
            0.100878932,
            0.101608478,
            0.102338031,
            0.103067577,
            0.10379713,
            0.104526676,
            0.10525623,
            0.105985776,
            0.106715329,
            0.107444875,
            0.108174428,
            0.108903974,
            0.109633528,
            0.110363074,
            0.111092627,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.112459809,
            0.113189362,
            0.113918908,
            0.114648461,
            0.115378007,
            0.116107561,
            0.116837107,
            0.11756666,
            0.118296206,
            0.119025759,
            0.119755305,
            0.120484859,
            0.121214405,
            0.121943958,
            0.122673504,
            0.123403057,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.12421111,
            0.125183851,
            0.126156583,
            0.127129316,
            0.128102049,
            0.129074782,
            0.130047515,
            0.131020248,
            0.131992981,
            0.132965714,
            0.133938447,
            0.13491118,
            0.135883912,
            0.136856645,
            0.137829378,
            0.138802111,
            0.138656572,
            0.137683839,
            0.136711106,
            0.135738373,
            0.13476564,
            0.133792907,
            0.132820174,
            0.131847441,
            0.130874723,
            0.129901975,
            0.128929257,
            0.12795651,
            0.126983792,
            0.126011044,
            0.125038326,
            0.124065585,
            0.123201996,
            0.12247245,
            0.121742897,
            0.121013351,
            0.120283797,
            0.119554251,
            0.118824698,
            0.118095152,
            0.117365599,
            0.116636053,
            0.115906499,
            0.115176953,
            0.1144474,
            0.113717854,
            0.112988308,
            0.112258755,
            0.111529209,
            0.110799655,
            0.110070109,
            0.109340556,
            0.10861101,
            0.107881457,
            0.107151911,
            0.106422357,
            0.105692811,
            0.104963258,
            0.104233712,
            0.103504159,
            0.102774613,
            0.102045059,
            0.101315513,
            0.10058596,
            0.0998564139,
            0.0991268605,
            0.0983973145,
            0.0976677611,
            0.0969382152,
            0.0962086618,
            0.0954791158,
            0.0947495624,
            0.0940200165,
            0.0932904631,
            0.0925609171,
            0.0918313637,
            0.0911018178,
            0.0903722644,
            0.0896427184,
            0.088913165,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0889246538,
            0.0896542072,
            0.0903837532,
            0.0911133066,
            0.0918428525,
            0.0925724059,
            0.0933019519,
            0.0940315053,
            0.0947610512,
            0.0954906046,
            0.0962201506,
            0.096949704,
            0.0976792499,
            0.0984088033,
            0.0991383493,
            0.0998679027,
            0.101991445,
            0.104423277,
            0.106855109,
            0.109286942,
            0.111718774,
            0.114150606,
            0.116582438,
            0.119014271,
            0.121446103,
            0.123877935,
            0.126309767,
            0.128741592,
            0.131173432,
            0.133605257,
            0.136037096,
            0.138468921,
            0.140226737,
            0.141685843,
            0.14314495,
            0.144604042,
            0.146063149,
            0.147522256,
            0.148981363,
            0.150440454,
            0.151899561,
            0.153358668,
            0.154817775,
            0.156276867,
            0.157735974,
            0.15919508,
            0.160654187,
            0.162113279,
            0.163158774,
            0.16388832,
            0.164617866,
            0.165347412,
            0.166076958,
            0.166806504,
            0.16753605,
            0.168265596,
            0.168995142,
            0.169724688,
            0.170454234,
            0.17118378,
            0.171913326,
            0.172642872,
            0.173372418,
            0.174101964,
            0.17483151,
            0.17556107,
            0.176290616,
            0.177020162,
            0.177749708,
            0.178479269,
            0.179208815,
            0.179938361,
            0.180667907,
            0.181397468,
            0.182127014,
            0.18285656,
            0.183586106,
            0.184315652,
            0.185045213,
            0.185774758,
            0.186580896,
            0.187553644,
            0.188526377,
            0.18949911,
            0.190471843,
            0.191444591,
            0.192417324,
            0.193390056,
            0.194362789,
            0.195335537,
            0.19630827,
            0.197281003,
            0.198253736,
            0.199226469,
            0.200199217,
            0.20117195,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201899588,
            0.200926855,
            0.199954107,
            0.198981375,
            0.198008642,
            0.197035909,
            0.196063161,
            0.195090428,
            0.194117695,
            0.193144962,
            0.192172229,
            0.191199481,
            0.190226749,
            0.189254016,
            0.188281283,
            0.187308535,
            0.186335802,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185682848,
            0.184953302,
            0.184223741,
            0.183494195,
            0.182764649,
            0.182035103,
            0.181305543,
            0.180575997,
            0.179846451,
            0.179116905,
            0.178387344,
            0.177657798,
            0.176928252,
            0.176198706,
            0.17546916,
            0.174739599,
            0.174010053,
            0.173280507,
            0.172550961,
            0.171821415,
            0.171091869,
            0.170362324,
            0.169632778,
            0.168903232,
            0.168173686,
            0.16744414,
            0.166714594,
            0.165985048,
            0.165255502,
            0.164525956,
            0.16379641,
            0.163066864,
            0.162337318,
            0.161607757,
            0.160878211,
            0.16014865,
            0.159419104,
            0.158689559,
            0.157959998,
            0.157230437,
            0.156500891,
            0.155771345,
            0.155041784,
            0.154312223,
            0.153582677,
            0.152853131,
            0.15212357,
            0.151394024,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150756374,
            0.150026828,
            0.149297282,
            0.148567736,
            0.147838175,
            0.147108629,
            0.146379083,
            0.145649537,
            0.144919977,
            0.144190431,
            0.143460885,
            0.142731339,
            0.142001778,
            0.141272232,
            0.140542686,
            0.13981314,
            0.139039546,
            0.138066813,
            0.13709408,
            0.136121348,
            0.135148615,
            0.134175882,
            0.133203149,
            0.132230416,
            0.131257683,
            0.13028495,
            0.129312217,
            0.128339484,
            0.127366751,
            0.126394019,
            0.125421286,
            0.124448553,
            0.123449013,
            0.121989913,
            0.120530814,
            0.119071715,
            0.117612615,
            0.116153516,
            0.114694417,
            0.113235317,
            0.111776218,
            0.110317118,
            0.108858019,
            0.10739892,
            0.10593982,
            0.104480721,
            0.103021622,
            0.101562522,
            0.100103423,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0994140878,
            0.0986845344,
            0.0979549885,
            0.0972254351,
            0.0964958891,
            0.0957663357,
            0.0950367898,
            0.0943072364,
            0.0935776904,
            0.092848137,
            0.0921185911,
            0.0913890377,
            0.0906594917,
            0.0899299383,
            0.0892003924,
            0.0884708464,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0879251137,
            0.0871955678,
            0.0864660144,
            0.0857364684,
            0.085006915,
            0.0842773691,
            0.0835478157,
            0.0828182697,
            0.0820887163,
            0.0813591704,
            0.080629617,
            0.079900071,
            0.0791705251,
            0.0784409717,
            0.0777114183,
            0.0769818723,
            0.0761795565,
            0.0752068236,
            0.0742340907,
            0.0732613578,
            0.0722886324,
            0.0713158995,
            0.0703431666,
            0.0693704337,
            0.0683977008,
            0.0674249679,
            0.066452235,
            0.0654795021,
            0.0645067692,
            0.0635340363,
            0.0625613034,
            0.0615885668,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0621381253,
            0.0638404042,
            0.0655426905,
            0.0672449693,
            0.0689472556,
            0.0706495345,
            0.0723518208,
            0.0740540996,
            0.0757563859,
            0.0774586648,
            0.0791609436,
            0.0808632299,
            0.0825655162,
            0.0842677951,
            0.0859700739,
            0.0876723602,
            0.0887235999,
            0.0894531459,
            0.0901826993,
            0.0909122452,
            0.0916417986,
            0.0923713446,
            0.093100898,
            0.0938304439,
            0.0945599973,
            0.0952895433,
            0.0960190967,
            0.0967486426,
            0.097478196,
            0.098207742,
            0.0989372954,
            0.0996668413,
            0.099603653,
            0.098874107,
            0.0981445536,
            0.0974150077,
            0.0966854542,
            0.0959559083,
            0.0952263549,
            0.0944968089,
            0.0937672555,
            0.0930377096,
            0.0923081562,
            0.0915786102,
            0.0908490568,
            0.0901195109,
            0.0893899575,
            0.0886604115,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.088355951,
            0.0890855044,
            0.0898150504,
            0.0905446038,
            0.0912741497,
            0.0920037031,
            0.0927332491,
            0.0934628025,
            0.0941923484,
            0.0949219018,
            0.0956514478,
            0.0963810012,
            0.0971105471,
            0.0978401005,
            0.0985696465,
            0.0992991999,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100574471,
            0.101304024,
            0.10203357,
            0.102763124,
            0.10349267,
            0.104222223,
            0.104951769,
            0.105681323,
            0.106410868,
            0.107140422,
            0.107869968,
            0.108599514,
            0.109329067,
            0.110058621,
            0.110788167,
            0.111517712,
            0.112247266,
            0.112976812,
            0.113706365,
            0.114435911,
            0.115165465,
            0.115895011,
            0.116624564,
            0.11735411,
            0.118083663,
            0.118813209,
            0.119542763,
            0.120272309,
            0.121001862,
            0.121731408,
            0.122460961,
            0.123190507,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.12392772,
            0.124900453,
            0.125873178,
            0.126845911,
            0.127818644,
            0.128791377,
            0.12976411,
            0.130736843,
            0.131709576,
            0.132682309,
            0.133655041,
            0.134627774,
            0.135600507,
            0.13657324,
            0.137545973,
            0.138518706,
            0.138939977,
            0.137967244,
            0.136994511,
            0.136021778,
            0.135049045,
            0.134076312,
            0.133103579,
            0.132130846,
            0.131158113,
            0.130185381,
            0.129212648,
            0.128239915,
            0.127267182,
            0.126294449,
            0.125321716,
            0.124348983,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123560071,
            0.124532804,
            0.125505537,
            0.12647827,
            0.127451003,
            0.128423735,
            0.129396468,
            0.130369201,
            0.131341934,
            0.132314667,
            0.1332874,
            0.134260133,
            0.135232866,
            0.136205599,
            0.137178332,
            0.138151065,
            0.139123797,
            0.139876321,
            0.140605867,
            0.141335428,
            0.142064974,
            0.14279452,
            0.143524066,
            0.144253626,
            0.144983172,
            0.145712718,
            0.146442264,
            0.147171825,
            0.147901371,
            0.148630917,
            0.149360463,
            0.150090024,
            0.15081957,
            0.151549116,
            0.152278677,
            0.153008223,
            0.153737783,
            0.154467329,
            0.15519689,
            0.155926436,
            0.156655997,
            0.157385543,
            0.158115104,
            0.15884465,
            0.159574211,
            0.160303757,
            0.161033317,
            0.161762863,
            0.162492424,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162452206,
            0.16172266,
            0.160993099,
            0.160263553,
            0.159533992,
            0.158804446,
            0.158074886,
            0.15734534,
            0.156615779,
            0.155886233,
            0.155156672,
            0.154427126,
            0.153697565,
            0.152968019,
            0.152238458,
            0.151508912,
            0.150779352,
            0.150049806,
            0.14932026,
            0.148590714,
            0.147861153,
            0.147131607,
            0.146402061,
            0.145672515,
            0.144942954,
            0.144213408,
            0.143483862,
            0.142754316,
            0.142024755,
            0.14129521,
            0.140565664,
            0.139836118,
            0.139070183,
            0.13809745,
            0.137124717,
            0.136151984,
            0.135179251,
            0.134206519,
            0.133233786,
            0.132261053,
            0.13128832,
            0.130315587,
            0.129342854,
            0.128370121,
            0.127397388,
            0.126424655,
            0.125451922,
            0.12447919,
            0.123512201,
            0.122782648,
            0.122053102,
            0.121323556,
            0.120594002,
            0.119864456,
            0.119134903,
            0.118405357,
            0.117675804,
            0.116946258,
            0.116216704,
            0.115487158,
            0.114757605,
            0.114028059,
            0.113298506,
            0.11256896,
            0.111839406,
            0.11110986,
            0.110380307,
            0.109650761,
            0.108921207,
            0.108191662,
            0.107462108,
            0.106732562,
            0.106003009,
            0.105273463,
            0.104543909,
            0.103814363,
            0.10308481,
            0.102355264,
            0.101625711,
            0.100896165,
            0.100166611,
            0.0994370654,
            0.098707512,
            0.0979779661,
            0.0972484127,
            0.0965188667,
            0.0957893133,
            0.0950597674,
            0.094330214,
            0.093600668,
            0.0928711146,
            0.0921415687,
            0.0914120227,
            0.0906824693,
            0.0899529159,
            0.08922337,
            0.088493824,
            0.0877642706,
            0.0870347247,
            0.0863051713,
            0.0855756253,
            0.0848460719,
            0.0841165259,
            0.0833869725,
            0.0826574266,
            0.0819278732,
            0.0811983272,
            0.0804687738,
            0.0797392279,
            0.0790096745,
            0.0782801285,
            0.0775505751,
            0.0768210292,
            0.0755859613,
            0.0738836825,
            0.0721813962,
            0.0704791173,
            0.068776831,
            0.0670745522,
            0.0653722659,
            0.063669987,
            0.0619677044,
            0.0602654219,
            0.0585631393,
            0.0568608567,
            0.0551585741,
            0.0534562916,
            0.051754009,
            0.0500517264,
            0.0484451875,
            0.0469860882,
            0.0455269888,
            0.0440678895,
            0.0426087901,
            0.0411496907,
            0.0396905914,
            0.038231492,
            0.0367723927,
            0.0353132933,
            0.033854194,
            0.0323950946,
            0.0309359953,
            0.0294768978,
            0.0280177984,
            0.0265586991,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254787356,
            0.0247491859,
            0.0240196362,
            0.0232900865,
            0.0225605369,
            0.0218309872,
            0.0211014375,
            0.0203718878,
            0.0196423382,
            0.0189127885,
            0.0181832388,
            0.0174536891,
            0.0167241395,
            0.0159945898,
            0.015265041,
            0.0145354914,
            0.0138059417,
            0.013076392,
            0.0123468433,
            0.0116172936,
            0.0108877439,
            0.0101581942,
            0.00942864455,
            0.00869909488,
            0.0079695452,
            0.00723999552,
            0.00651044585,
            0.00578089617,
            0.0050513465,
            0.00432179775,
            0.00359224807,
            0.0028626984,
            0.00213314872,
            0.00121786061,
            0.000245127827,
            -0.000727605075,
            -0.00170033774,
            -0.00267307041,
            -0.00364580331,
            -0.00461853622,
            -0.00559126865,
            -0.00656400155,
            -0.00753673445,
            -0.00850946736,
            -0.00948220026,
            -0.0104549332,
            -0.0114276651,
            -0.012400398,
            -0.0133731309,
            -0.0141907632,
            -0.0149203129,
            -0.0156498626,
            -0.0163794123,
            -0.0171089619,
            -0.0178385116,
            -0.0185680613,
            -0.019297611,
            -0.0200271606,
            -0.0207567103,
            -0.0214862581,
            -0.0222158097,
            -0.0229453575,
            -0.0236749072,
            -0.0244044568,
            -0.0251340065,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0253005959,
            -0.0245710462,
            -0.0238414984,
            -0.0231119487,
            -0.0223823991,
            -0.0216528494,
            -0.0209232997,
            -0.02019375,
            -0.0194642004,
            -0.0187346507,
            -0.018005101,
            -0.0172755513,
            -0.0165460017,
            -0.015816452,
            -0.0150869023,
            -0.0143573526,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137369484,
            -0.0151960477,
            -0.0166551471,
            -0.0181142464,
            -0.0195733458,
            -0.0210324451,
            -0.0224915445,
            -0.0239506438,
            -0.0254097432,
            -0.0268688407,
            -0.02832794,
            -0.0297870394,
            -0.0312461387,
            -0.03270524,
            -0.0341643393,
            -0.0356234387,
            -0.037082538,
            -0.0378982536,
            -0.0386278033,
            -0.039357353,
            -0.0400869027,
            -0.0408164486,
            -0.041546002,
            -0.042275548,
            -0.0430051014,
            -0.0437346473,
            -0.044464197,
            -0.0451937467,
            -0.0459232964,
            -0.046652846,
            -0.0473823957,
            -0.0481119454,
            -0.0488414951,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0484681055,
            -0.0470090061,
            -0.0455499068,
            -0.0440908074,
            -0.0426317081,
            -0.0411726087,
            -0.0397135094,
            -0.03825441,
            -0.0367953107,
            -0.0353362113,
            -0.033877112,
            -0.0324180126,
            -0.0309589151,
            -0.0294998158,
            -0.0280407164,
            -0.0265816171,
            -0.0253063403,
            -0.0245767925,
            -0.0238472428,
            -0.0231176931,
            -0.0223881435,
            -0.0216585938,
            -0.0209290441,
            -0.0201994944,
            -0.0194699448,
            -0.0187403951,
            -0.0180108454,
            -0.0172812957,
            -0.0165517461,
            -0.0158221964,
            -0.0150926467,
            -0.014363097,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596
          ],
          [
            -0.0137254596,
            -0.0144550093,
            -0.0151845589,
            -0.0159141086,
            -0.0166436583,
            -0.017373208,
            -0.0181027576,
            -0.0188323073,
            -0.019561857,
            -0.0202914067,
            -0.0210209563,
            -0.021750506,
            -0.0224800557,
            -0.0232096054,
            -0.023939155,
            -0.0246687047,
            -0.0253982525,
            -0.0261278022,
            -0.0268573519,
            -0.0275869016,
            -0.0283164512,
            -0.0290460009,
            -0.0297755506,
            -0.0305051003,
            -0.0312346499,
            -0.0319641978,
            -0.0326937474,
            -0.0334232971,
            -0.0341528468,
            -0.0348823965,
            -0.0356119461,
            -0.0363414958,
            -0.0370710455,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0368929692,
            -0.0361634195,
            -0.0354338698,
            -0.0347043201,
            -0.0339747705,
            -0.0332452208,
            -0.0325156711,
            -0.0317861214,
            -0.0310565718,
            -0.0303270221,
            -0.0295974724,
            -0.0288679227,
            -0.028138373,
            -0.0274088234,
            -0.0266792737,
            -0.025949724,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0247663595,
            -0.0240368098,
            -0.0233072601,
            -0.0225777104,
            -0.0218481608,
            -0.0211186111,
            -0.0203890614,
            -0.0196595117,
            -0.0189299621,
            -0.0182004124,
            -0.0174708627,
            -0.016741313,
            -0.0160117634,
            -0.0152822146,
            -0.0145526659,
            -0.0138231162,
            -0.0128829349,
            -0.011910202,
            -0.0109374691,
            -0.00996473618,
            -0.00899200421,
            -0.00801927131,
            -0.00704653841,
            -0.0060738055,
            -0.0051010726,
            -0.0041283397,
            -0.00315560773,
            -0.00218287483,
            -0.00121014193,
            -0.000237409025,
            0.000735323876,
            0.00170805678,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00148593658,
            0.000513203791,
            -0.000459528994,
            -0.0014322619,
            -0.00240499433,
            -0.00337772723,
            -0.00435046013,
            -0.00532319304,
            -0.00629592594,
            -0.00726865884,
            -0.00824139081,
            -0.00921412371,
            -0.0101868566,
            -0.0111595895,
            -0.0121323224,
            -0.0131050553,
            -0.0139897056,
            -0.0147192553,
            -0.0154488049,
            -0.0161783546,
            -0.0169079043,
            -0.017637454,
            -0.0183670036,
            -0.0190965533,
            -0.019826103,
            -0.0205556527,
            -0.0212852024,
            -0.022014752,
            -0.0227443017,
            -0.0234738514,
            -0.0242034011,
            -0.0249329507,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0247721039,
            -0.0240425542,
            -0.0233130045,
            -0.0225834548,
            -0.0218539052,
            -0.0211243555,
            -0.0203948058,
            -0.0196652561,
            -0.0189357065,
            -0.0182061568,
            -0.0174766071,
            -0.0167470574,
            -0.0160175078,
            -0.0152879599,
            -0.0145584103,
            -0.0138288606,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0141677847,
            -0.0148973344,
            -0.015626885,
            -0.0163564347,
            -0.0170859825,
            -0.017815534,
            -0.0185450818,
            -0.0192746315,
            -0.0200041812,
            -0.0207337309,
            -0.0214632805,
            -0.0221928302,
            -0.0229223799,
            -0.0236519296,
            -0.0243814792,
            -0.0251110289,
            -0.0261909924,
            -0.0276500918,
            -0.0291091911,
            -0.0305682905,
            -0.0320273899,
            -0.0334864855,
            -0.0349455848,
            -0.0364046842,
            -0.0378637835,
            -0.0393228829,
            -0.0407819822,
            -0.0422410816,
            -0.0437001809,
            -0.0451592803,
            -0.0466183797,
            -0.048077479,
            -0.0496227443,
            -0.0513250269,
            -0.0530273095,
            -0.0547295921,
            -0.0564318746,
            -0.0581341572,
            -0.0598364398,
            -0.0615387224,
            -0.0632410049,
            -0.0649432838,
            -0.0666455701,
            -0.0683478564,
            -0.0700501353,
            -0.0717524141,
            -0.0734547004,
            -0.0751569793,
            -0.0766371414,
            -0.0773666948,
            -0.0780962408,
            -0.0788257942,
            -0.0795553401,
            -0.0802848935,
            -0.0810144395,
            -0.0817439929,
            -0.0824735388,
            -0.0832030922,
            -0.0839326382,
            -0.0846621916,
            -0.0853917375,
            -0.0861212909,
            -0.0868508369,
            -0.0875803903,
            -0.0883099362,
            -0.0890394896,
            -0.0897690356,
            -0.090498589,
            -0.0912281349,
            -0.0919576883,
            -0.0926872343,
            -0.0934167877,
            -0.0941463336,
            -0.094875887,
            -0.095605433,
            -0.0963349789,
            -0.0970645323,
            -0.0977940857,
            -0.0985236317,
            -0.0992531776,
            -0.099982731,
            -0.0992876515,
            -0.0985580981,
            -0.0978285521,
            -0.0970989987,
            -0.0963694528,
            -0.0956398994,
            -0.0949103534,
            -0.0941808,
            -0.0934512541,
            -0.0927217007,
            -0.0919921547,
            -0.0912626013,
            -0.0905330554,
            -0.089803502,
            -0.089073956,
            -0.0883444026,
            -0.0867876485,
            -0.0850853696,
            -0.0833830833,
            -0.0816808045,
            -0.0799785182,
            -0.0782762393,
            -0.076573953,
            -0.0748716742,
            -0.0731693879,
            -0.071467109,
            -0.0697648227,
            -0.0680625439,
            -0.066360265,
            -0.0646579787,
            -0.0629556924,
            -0.0612534136,
            -0.0602557883,
            -0.0595262386,
            -0.0587966889,
            -0.0580671392,
            -0.0573375896,
            -0.0566080399,
            -0.0558784902,
            -0.0551489405,
            -0.0544193909,
            -0.0536898412,
            -0.0529602915,
            -0.0522307418,
            -0.0515011922,
            -0.0507716425,
            -0.0500420928,
            -0.0493125431,
            -0.0494561568,
            -0.0501857065,
            -0.0509152561,
            -0.0516448058,
            -0.0523743555,
            -0.0531039052,
            -0.0538334548,
            -0.0545630045,
            -0.0552925542,
            -0.0560221039,
            -0.0567516536,
            -0.0574811995,
            -0.0582107529,
            -0.0589402989,
            -0.0596698523,
            -0.0603993982,
            -0.0612438396,
            -0.0622165725,
            -0.0631893054,
            -0.0641620383,
            -0.0651347712,
            -0.0661075041,
            -0.067080237,
            -0.0680529699,
            -0.0690257028,
            -0.0699984357,
            -0.0709711686,
            -0.0719439015,
            -0.0729166344,
            -0.0738893673,
            -0.0748621002,
            -0.0758348331,
            -0.0767233148,
            -0.0774528608,
            -0.0781824142,
            -0.0789119601,
            -0.0796415061,
            -0.0803710595,
            -0.0811006054,
            -0.0818301588,
            -0.0825597048,
            -0.0832892582,
            -0.0840188041,
            -0.0847483575,
            -0.0854779035,
            -0.0862074569,
            -0.0869370028,
            -0.0876665562,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0881663263,
            -0.0874367729,
            -0.0867072269,
            -0.0859776735,
            -0.0852481276,
            -0.0845185742,
            -0.0837890282,
            -0.0830594748,
            -0.0823299289,
            -0.0816003755,
            -0.0808708295,
            -0.0801412761,
            -0.0794117302,
            -0.0786821842,
            -0.0779526308,
            -0.0772230774,
            -0.0764935315,
            -0.0748218894,
            -0.0731196031,
            -0.0714173242,
            -0.0697150379,
            -0.0680127591,
            -0.0663104728,
            -0.0646081939,
            -0.0629059076,
            -0.0612036288,
            -0.0595013462,
            -0.0577990636,
            -0.056096781,
            -0.0543944985,
            -0.0526922159,
            -0.0509899333,
            -0.0492876507,
            -0.0477902554,
            -0.046331156,
            -0.0448720567,
            -0.0434129573,
            -0.041953858,
            -0.0404947586,
            -0.0390356593,
            -0.0375765599,
            -0.0361174606,
            -0.034658365,
            -0.0331992656,
            -0.0317401662,
            -0.030281065,
            -0.0288219657,
            -0.0273628663,
            -0.025903767,
            -0.0249674171,
            -0.0242378674,
            -0.0235083178,
            -0.0227787681,
            -0.0220492184,
            -0.0213196687,
            -0.0205901191,
            -0.0198605694,
            -0.0191310197,
            -0.01840147,
            -0.0176719204,
            -0.0169423707,
            -0.016212821,
            -0.0154832723,
            -0.0147537226,
            -0.0140241729,
            -0.0131510114,
            -0.0121782785,
            -0.0112055456,
            -0.0102328127,
            -0.00926007982,
            -0.00828734692,
            -0.00731461449,
            -0.00634188158,
            -0.00536914915,
            -0.00439641625,
            -0.00342368335,
            -0.00245095044,
            -0.00147821754,
            -0.000505484641,
            0.000467248261,
            0.00143998116,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00211591506,
            0.00284546474,
            0.00357501442,
            0.00430456363,
            0.0050341133,
            0.00576366298,
            0.00649321266,
            0.00722276233,
            0.00795231201,
            0.00868186168,
            0.00941141136,
            0.010140961,
            0.0108705098,
            0.0116000595,
            0.0123296091,
            0.0130591588,
            0.0138518978,
            0.0153109971,
            0.0167700965,
            0.0182291958,
            0.0196882952,
            0.0211473927,
            0.022606492,
            0.0240655914,
            0.0255246907,
            0.0269837901,
            0.0284428895,
            0.0299019888,
            0.0313610882,
            0.0328201875,
            0.0342792869,
            0.0357383862,
            0.0371974856,
            0.0386565849,
            0.0401156843,
            0.0415747836,
            0.043033883,
            0.0444929823,
            0.0459520817,
            0.047411181,
            0.0488702804,
            0.050329376,
            0.0517884754,
            0.0532475747,
            0.0547066741,
            0.0561657734,
            0.0576248728,
            0.0590839721,
            0.0605430715,
            0.0622051433,
            0.0639074221,
            0.0656097084,
            0.0673119873,
            0.0690142736,
            0.0707165524,
            0.0724188387,
            0.0741211176,
            0.0758234039,
            0.0775256827,
            0.0792279691,
            0.0809302479,
            0.0826325268,
            0.0843348131,
            0.0860370994,
            0.0877393782,
            0.0887523219,
            0.0894818753,
            0.0902114213,
            0.0909409747,
            0.0916705206,
            0.092400074,
            0.09312962,
            0.0938591659,
            0.0945887193,
            0.0953182653,
            0.0960478187,
            0.0967773646,
            0.097506918,
            0.098236464,
            0.0989660174,
            0.0996955633,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100603193,
            0.101332746,
            0.102062292,
            0.102791846,
            0.103521392,
            0.104250945,
            0.104980491,
            0.105710045,
            0.10643959,
            0.107169144,
            0.10789869,
            0.108628243,
            0.109357789,
            0.110087343,
            0.110816889,
            0.111546442,
            0.112275988,
            0.113005541,
            0.113735087,
            0.114464641,
            0.115194187,
            0.115923733,
            0.116653286,
            0.117382832,
            0.118112385,
            0.118841931,
            0.119571485,
            0.120301031,
            0.121030584,
            0.12176013,
            0.122489683,
            0.123219229,
            0.123110086,
            0.12238054,
            0.121650986,
            0.12092144,
            0.120191887,
            0.119462341,
            0.118732788,
            0.118003242,
            0.117273688,
            0.116544142,
            0.115814589,
            0.115085043,
            0.11435549,
            0.113625944,
            0.11289639,
            0.112166844,
            0.111437291,
            0.110707745,
            0.109978192,
            0.109248646,
            0.108519092,
            0.107789546,
            0.107059993,
            0.106330447,
            0.105600893,
            0.104871348,
            0.104141794,
            0.103412248,
            0.102682695,
            0.101953149,
            0.101223603,
            0.100494049,
            0.0997645035,
            0.0990349501,
            0.0983054042,
            0.0975758508,
            0.0968463048,
            0.0961167514,
            0.0953872055,
            0.0946576521,
            0.0939281061,
            0.0931985527,
            0.0924690068,
            0.0917394534,
            0.0910099074,
            0.090280354,
            0.0895508081,
            0.0888212547,
            0.0880917087,
            0.0873621553,
            0.0866326094,
            0.085903056,
            0.08517351,
            0.0844439566,
            0.0837144107,
            0.0829848573,
            0.0822553113,
            0.0815257579,
            0.080796212,
            0.0800666586,
            0.0793371126,
            0.0786075592,
            0.0778780133,
            0.0771484599,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0778492913,
            0.0793083906,
            0.08076749,
            0.0822265893,
            0.0836856887,
            0.085144788,
            0.0866038874,
            0.0880629867,
            0.0895220861,
            0.0909811854,
            0.0924402773,
            0.0938993841,
            0.095358476,
            0.0968175828,
            0.0982766747,
            0.0997357816,
            0.101194873,
            0.102653973,
            0.104113072,
            0.105572172,
            0.107031271,
            0.10849037,
            0.10994947,
            0.111408569,
            0.112867668,
            0.114326768,
            0.115785867,
            0.117244966,
            0.118704066,
            0.120163165,
            0.121622264,
            0.123081364,
            0.124708965,
            0.126411244,
            0.128113538,
            0.129815817,
            0.131518096,
            0.133220375,
            0.134922668,
            0.136624947,
            0.138327226,
            0.140029505,
            0.141731799,
            0.143434078,
            0.145136356,
            0.146838635,
            0.148540914,
            0.150243208,
            0.151394024,
            0.15212357,
            0.152853131,
            0.153582677,
            0.154312238,
            0.155041784,
            0.155771345,
            0.156500891,
            0.157230437,
            0.157959998,
            0.158689559,
            0.159419104,
            0.16014865,
            0.160878211,
            0.161607757,
            0.162337318,
            0.163066864,
            0.16379641,
            0.164525956,
            0.165255502,
            0.165985048,
            0.166714594,
            0.16744414,
            0.168173686,
            0.168903232,
            0.169632778,
            0.170362324,
            0.171091869,
            0.171821415,
            0.172550961,
            0.173280507,
            0.174010053,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174463868,
            0.173734322,
            0.173004776,
            0.17227523,
            0.171545684,
            0.170816138,
            0.170086592,
            0.169357046,
            0.168627501,
            0.167897955,
            0.167168409,
            0.166438863,
            0.165709317,
            0.164979771,
            0.164250225,
            0.163520679,
            0.162791133,
            0.162061587,
            0.161332026,
            0.16060248,
            0.159872919,
            0.159143373,
            0.158413813,
            0.157684267,
            0.156954706,
            0.15622516,
            0.155495599,
            0.154766053,
            0.154036492,
            0.153306946,
            0.152577385,
            0.151847839,
            0.151118279,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150572553,
            0.149843007,
            0.149113461,
            0.148383901,
            0.147654355,
            0.146924809,
            0.146195263,
            0.145465702,
            0.144736156,
            0.14400661,
            0.143277064,
            0.142547503,
            0.141817957,
            0.141088411,
            0.140358865,
            0.139629304,
            0.138794452,
            0.137821719,
            0.136848986,
            0.135876253,
            0.13490352,
            0.133930787,
            0.132958055,
            0.131985322,
            0.131012589,
            0.130039856,
            0.129067123,
            0.12809439,
            0.127121657,
            0.126148924,
            0.125176191,
            0.124203451,
            0.123305403,
            0.122575849,
            0.121846303,
            0.12111675,
            0.120387204,
            0.119657651,
            0.118928105,
            0.118198551,
            0.117469005,
            0.116739452,
            0.116009906,
            0.115280353,
            0.114550807,
            0.113821253,
            0.113091707,
            0.112362154,
            0.111632608,
            0.110903054,
            0.110173509,
            0.109443955,
            0.108714409,
            0.107984856,
            0.10725531,
            0.106525756,
            0.10579621,
            0.105066657,
            0.104337111,
            0.103607558,
            0.102878012,
            0.102148458,
            0.101418912,
            0.100689359,
            0.0999598131,
            0.0992302597,
            0.0985007137,
            0.0977711603,
            0.0970416144,
            0.096312061,
            0.095582515,
            0.0948529691,
            0.0941234156,
            0.0933938622,
            0.0926643163,
            0.0919347703,
            0.0912052169,
            0.090475671,
            0.0897461176,
            0.0890165716,
            0.0882870182,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0876493827,
            0.0869198292,
            0.0861902833,
            0.0854607299,
            0.0847311839,
            0.0840016305,
            0.0832720846,
            0.0825425312,
            0.0818129852,
            0.0810834318,
            0.0803538859,
            0.0796243325,
            0.0788947865,
            0.0781652331,
            0.0774356872,
            0.0767061412,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0759344622,
            0.0749617293,
            0.0739889964,
            0.0730162635,
            0.0720435306,
            0.0710707977,
            0.0700980648,
            0.0691253319,
            0.068152599,
            0.0671798661,
            0.0662071332,
            0.0652344003,
            0.0642616674,
            0.0632889345,
            0.0623162016,
            0.0613434687,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0621381253,
            0.0638404042,
            0.0655426905,
            0.0672449693,
            0.0689472556,
            0.0706495345,
            0.0723518208,
            0.0740540996,
            0.0757563859,
            0.0774586648,
            0.0791609436,
            0.0808632299,
            0.0825655162,
            0.0842677951,
            0.0859700739,
            0.0876723602,
            0.0887235999,
            0.0894531459,
            0.0901826993,
            0.0909122452,
            0.0916417986,
            0.0923713446,
            0.093100898,
            0.0938304439,
            0.0945599973,
            0.0952895433,
            0.0960190967,
            0.0967486426,
            0.097478196,
            0.098207742,
            0.0989372954,
            0.0996668413,
            0.099603653,
            0.098874107,
            0.0981445536,
            0.0974150077,
            0.0966854542,
            0.0959559083,
            0.0952263549,
            0.0944968089,
            0.0937672555,
            0.0930377096,
            0.0923081562,
            0.0915786102,
            0.0908490568,
            0.0901195109,
            0.0893899575,
            0.0886604115,
            0.0879308581,
            0.0872013122,
            0.0864717588,
            0.0857422128,
            0.0850126594,
            0.0842831135,
            0.0835535601,
            0.0828240141,
            0.0820944607,
            0.0813649148,
            0.0806353688,
            0.0799058154,
            0.079176262,
            0.0784467161,
            0.0777171701,
            0.0769876167,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0765912458,
            0.0773207992,
            0.0780503452,
            0.0787798986,
            0.0795094445,
            0.0802389979,
            0.0809685439,
            0.0816980973,
            0.0824276432,
            0.0831571966,
            0.0838867426,
            0.084616296,
            0.0853458419,
            0.0860753953,
            0.0868049413,
            0.0875344947,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0888097659,
            0.0895393193,
            0.0902688652,
            0.0909984186,
            0.0917279646,
            0.092457518,
            0.0931870639,
            0.0939166173,
            0.0946461633,
            0.0953757167,
            0.0961052626,
            0.0968348086,
            0.097564362,
            0.0982939154,
            0.0990234613,
            0.0997530073,
            0.100482561,
            0.101212107,
            0.10194166,
            0.102671206,
            0.103400759,
            0.104130305,
            0.104859859,
            0.105589405,
            0.106318958,
            0.107048504,
            0.107778057,
            0.108507603,
            0.109237157,
            0.109966703,
            0.110696256,
            0.111425802,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111787707,
            0.11251726,
            0.113246806,
            0.113976359,
            0.114705905,
            0.115435451,
            0.116165005,
            0.116894551,
            0.117624104,
            0.11835365,
            0.119083203,
            0.119812749,
            0.120542303,
            0.121271849,
            0.122001402,
            0.122730948,
            0.123460501,
            0.124410257,
            0.12538299,
            0.126355723,
            0.127328455,
            0.128301188,
            0.129273921,
            0.130246654,
            0.131219387,
            0.13219212,
            0.133164853,
            0.134137586,
            0.135110319,
            0.136083052,
            0.137055784,
            0.138028517,
            0.13900125,
            0.139784411,
            0.140513957,
            0.141243517,
            0.141973063,
            0.142702609,
            0.143432155,
            0.144161716,
            0.144891262,
            0.145620808,
            0.146350354,
            0.147079915,
            0.147809461,
            0.148539007,
            0.149268553,
            0.149998099,
            0.150727659,
            0.151457205,
            0.152186766,
            0.152916312,
            0.153645873,
            0.154375419,
            0.15510498,
            0.155834526,
            0.156564087,
            0.157293633,
            0.158023193,
            0.158752739,
            0.1594823,
            0.160211846,
            0.160941407,
            0.161670953,
            0.162400514,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162452206,
            0.16172266,
            0.160993099,
            0.160263553,
            0.159533992,
            0.158804446,
            0.158074886,
            0.15734534,
            0.156615779,
            0.155886233,
            0.155156672,
            0.154427126,
            0.153697565,
            0.152968019,
            0.152238458,
            0.151508912,
            0.150779352,
            0.150049806,
            0.14932026,
            0.148590714,
            0.147861153,
            0.147131607,
            0.146402061,
            0.145672515,
            0.144942954,
            0.144213408,
            0.143483862,
            0.142754316,
            0.142024755,
            0.14129521,
            0.140565664,
            0.139836118,
            0.139070183,
            0.13809745,
            0.137124717,
            0.136151984,
            0.135179251,
            0.134206519,
            0.133233786,
            0.132261053,
            0.13128832,
            0.130315587,
            0.129342854,
            0.128370121,
            0.127397388,
            0.126424655,
            0.125451922,
            0.12447919,
            0.123512201,
            0.122782648,
            0.122053102,
            0.121323556,
            0.120594002,
            0.119864456,
            0.119134903,
            0.118405357,
            0.117675804,
            0.116946258,
            0.116216704,
            0.115487158,
            0.114757605,
            0.114028059,
            0.113298506,
            0.11256896,
            0.111839406,
            0.11110986,
            0.110380307,
            0.109650761,
            0.108921207,
            0.108191662,
            0.107462108,
            0.106732562,
            0.106003009,
            0.105273463,
            0.104543909,
            0.103814363,
            0.10308481,
            0.102355264,
            0.101625711,
            0.100896165,
            0.100166611,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0995289758,
            0.0987994298,
            0.0980698764,
            0.0973403305,
            0.0966107771,
            0.0958812311,
            0.0951516777,
            0.0944221318,
            0.0936925784,
            0.0929630324,
            0.092233479,
            0.0915039331,
            0.0907743797,
            0.0900448337,
            0.0893152803,
            0.0885857344,
            0.0873506665,
            0.0856483877,
            0.0839461014,
            0.0822438225,
            0.0805415362,
            0.0788392574,
            0.0771369711,
            0.0754346922,
            0.0737324059,
            0.072030127,
            0.0703278482,
            0.0686255619,
            0.0669232756,
            0.0652209967,
            0.0635187179,
            0.0618164316,
            0.0602098927,
            0.0587507933,
            0.057291694,
            0.0558325946,
            0.0543734953,
            0.0529143959,
            0.0514552966,
            0.0499961972,
            0.0485370979,
            0.0470779985,
            0.0456188992,
            0.0441597998,
            0.0427007005,
            0.0412416011,
            0.0397825018,
            0.0383234024,
            0.0370596163,
            0.0363300666,
            0.0356005169,
            0.0348709673,
            0.0341414176,
            0.0334118679,
            0.0326823182,
            0.0319527686,
            0.0312232208,
            0.0304936711,
            0.0297641214,
            0.0290345717,
            0.028305022,
            0.0275754724,
            0.0268459227,
            0.026116373,
            0.0253868233,
            0.0246572737,
            0.023927724,
            0.0231981743,
            0.0224686246,
            0.021739075,
            0.0210095271,
            0.0202799775,
            0.0195504278,
            0.0188208781,
            0.0180913284,
            0.0173617788,
            0.0166322291,
            0.0159026794,
            0.0151731297,
            0.0144435801,
            0.0137140304,
            0.0129844807,
            0.012254931,
            0.0115253814,
            0.0107958317,
            0.010066282,
            0.00933673233,
            0.00860718265,
            0.00787763298,
            0.00714808377,
            0.00641853455,
            0.00568898488,
            0.0049594352,
            0.00422988553,
            0.00350033585,
            0.00277078617,
            0.0020412365,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00121786061,
            0.000245127827,
            -0.000727605075,
            -0.00170033774,
            -0.00267307041,
            -0.00364580331,
            -0.00461853622,
            -0.00559126865,
            -0.00656400155,
            -0.00753673445,
            -0.00850946736,
            -0.00948220026,
            -0.0104549332,
            -0.0114276651,
            -0.012400398,
            -0.0133731309,
            -0.0141907632,
            -0.0149203129,
            -0.0156498626,
            -0.0163794123,
            -0.0171089619,
            -0.0178385116,
            -0.0185680613,
            -0.019297611,
            -0.0200271606,
            -0.0207567103,
            -0.0214862581,
            -0.0222158097,
            -0.0229453575,
            -0.0236749072,
            -0.0244044568,
            -0.0251340065,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0253005959,
            -0.0245710462,
            -0.0238414984,
            -0.0231119487,
            -0.0223823991,
            -0.0216528494,
            -0.0209232997,
            -0.02019375,
            -0.0194642004,
            -0.0187346507,
            -0.018005101,
            -0.0172755513,
            -0.0165460017,
            -0.015816452,
            -0.0150869023,
            -0.0143573526,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.013731204,
            -0.0144607536,
            -0.0151903033,
            -0.015919853,
            -0.0166494027,
            -0.0173789524,
            -0.018108502,
            -0.0188380517,
            -0.0195676014,
            -0.0202971511,
            -0.0210267007,
            -0.0217562504,
            -0.0224858001,
            -0.0232153498,
            -0.0239448994,
            -0.0246744491,
            -0.0254039988,
            -0.0261335466,
            -0.0268630963,
            -0.027592646,
            -0.0283221956,
            -0.0290517453,
            -0.029781295,
            -0.0305108447,
            -0.0312403943,
            -0.0319699422,
            -0.0326994918,
            -0.0334290415,
            -0.0341585912,
            -0.0348881409,
            -0.0356176905,
            -0.0363472402,
            -0.0370767899,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0369791351,
            -0.0362495854,
            -0.0355200358,
            -0.0347904861,
            -0.0340609364,
            -0.0333313867,
            -0.0326018371,
            -0.0318722874,
            -0.0311427377,
            -0.030413188,
            -0.0296836384,
            -0.0289540887,
            -0.028224539,
            -0.0274949893,
            -0.0267654397,
            -0.02603589,
            -0.0253063403,
            -0.0245767925,
            -0.0238472428,
            -0.0231176931,
            -0.0223881435,
            -0.0216585938,
            -0.0209290441,
            -0.0201994944,
            -0.0194699448,
            -0.0187403951,
            -0.0180108454,
            -0.0172812957,
            -0.0165517461,
            -0.0158221964,
            -0.0150926467,
            -0.014363097,
            -0.0136029106,
            -0.0126301777,
            -0.0116574448,
            -0.0106847119,
            -0.00971197896,
            -0.00873924606,
            -0.00776651409,
            -0.00679378118,
            -0.00582104828,
            -0.00484831538,
            -0.00387558248,
            -0.00290284958,
            -0.00193011761,
            -0.000957384706,
            1.5348196e-5,
            0.000988081098
          ],
          [
            0.001960814,
            0.000988081214,
            1.53484289e-5,
            -0.00095738424,
            -0.00193011714,
            -0.00290285004,
            -0.00387558248,
            -0.00484831538,
            -0.00582104828,
            -0.00679378118,
            -0.00776651409,
            -0.00873924699,
            -0.00971197896,
            -0.0106847119,
            -0.0116574448,
            -0.0126301777,
            -0.0136029106,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0141792735,
            -0.0149088232,
            -0.0156383738,
            -0.0163679235,
            -0.0170974731,
            -0.0178270228,
            -0.0185565725,
            -0.0192861222,
            -0.02001567,
            -0.0207452197,
            -0.0214747693,
            -0.022204319,
            -0.0229338687,
            -0.0236634184,
            -0.024392968,
            -0.0251225177,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0247663595,
            -0.0240368098,
            -0.0233072601,
            -0.0225777104,
            -0.0218481608,
            -0.0211186111,
            -0.0203890614,
            -0.0196595117,
            -0.0189299621,
            -0.0182004124,
            -0.0174708627,
            -0.016741313,
            -0.0160117634,
            -0.0152822146,
            -0.0145526659,
            -0.0138231162,
            -0.0128829349,
            -0.011910202,
            -0.0109374691,
            -0.00996473618,
            -0.00899200421,
            -0.00801927131,
            -0.00704653841,
            -0.0060738055,
            -0.0051010726,
            -0.0041283397,
            -0.00315560773,
            -0.00218287483,
            -0.00121014193,
            -0.000237409025,
            0.000735323876,
            0.00170805678,
            0.00304077705,
            0.00449987641,
            0.00595897529,
            0.00741807465,
            0.008877174,
            0.0103362733,
            0.0117953718,
            0.0132544711,
            0.0147135705,
            0.0161726698,
            0.0176317692,
            0.0190908685,
            0.0205499679,
            0.0220090672,
            0.0234681666,
            0.0249272641,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0251340661,
            0.0244045164,
            0.0236749668,
            0.0229454171,
            0.0222158674,
            0.0214863177,
            0.0207567699,
            0.0200272202,
            0.0192976706,
            0.0185681209,
            0.0178385712,
            0.0171090215,
            0.0163794719,
            0.0156499222,
            0.0149203725,
            0.0141908228,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0129078878,
            0.0112056052,
            0.00950332265,
            0.00780104054,
            0.00609875796,
            0.00439647585,
            0.00269419327,
            0.000991910696,
            -0.000710371882,
            -0.00241265446,
            -0.00411493704,
            -0.00581721775,
            -0.00751950033,
            -0.00922178291,
            -0.0109240655,
            -0.0126263481,
            -0.0145009654,
            -0.0166896135,
            -0.0188782625,
            -0.0210669115,
            -0.0232555605,
            -0.0254442096,
            -0.0276328586,
            -0.0298215058,
            -0.0320101529,
            -0.0341988057,
            -0.036387451,
            -0.0385761037,
            -0.0407647491,
            -0.0429533981,
            -0.0451420471,
            -0.0473306961,
            -0.0491861664,
            -0.0499157161,
            -0.0506452657,
            -0.0513748154,
            -0.0521043651,
            -0.0528339148,
            -0.0535634607,
            -0.0542930141,
            -0.0550225601,
            -0.0557521135,
            -0.0564816594,
            -0.0572112128,
            -0.0579407588,
            -0.0586703122,
            -0.0593998581,
            -0.0601294078,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0601638742,
            -0.0594343245,
            -0.0587047786,
            -0.0579752289,
            -0.0572456792,
            -0.0565161295,
            -0.0557865798,
            -0.0550570302,
            -0.0543274805,
            -0.0535979308,
            -0.0528683811,
            -0.0521388315,
            -0.0514092818,
            -0.0506797321,
            -0.0499501824,
            -0.0492206328,
            -0.0484910831,
            -0.0477615334,
            -0.0470319837,
            -0.0463024341,
            -0.0455728844,
            -0.0448433347,
            -0.044113785,
            -0.0433842354,
            -0.0426546857,
            -0.041925136,
            -0.0411955863,
            -0.0404660366,
            -0.039736487,
            -0.0390069373,
            -0.0382773876,
            -0.0375478379,
            -0.0376914516,
            -0.0384210013,
            -0.039150551,
            -0.0398801006,
            -0.0406096503,
            -0.0413392,
            -0.0420687497,
            -0.0427982993,
            -0.043527849,
            -0.0442573987,
            -0.0449869484,
            -0.0457164943,
            -0.0464460477,
            -0.0471755937,
            -0.0479051471,
            -0.048634693,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0496093407,
            -0.0513116233,
            -0.0530139059,
            -0.0547161885,
            -0.056418471,
            -0.0581207536,
            -0.0598230362,
            -0.0615253188,
            -0.0632276013,
            -0.0649298877,
            -0.0666321665,
            -0.0683344454,
            -0.0700367317,
            -0.0717390105,
            -0.0734412968,
            -0.0751435757,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0763786435,
            -0.0754059106,
            -0.0744331777,
            -0.0734604448,
            -0.0724877119,
            -0.071514979,
            -0.0705422461,
            -0.0695695132,
            -0.0685967803,
            -0.0676240474,
            -0.0666513145,
            -0.0656785816,
            -0.0647058487,
            -0.0637331158,
            -0.0627603829,
            -0.06178765,
            -0.0608149171,
            -0.0593711361,
            -0.0579120368,
            -0.0564529374,
            -0.0549938381,
            -0.0535347387,
            -0.0520756394,
            -0.05061654,
            -0.0491574407,
            -0.0476983413,
            -0.0462392457,
            -0.0447801426,
            -0.043321047,
            -0.0418619476,
            -0.0404028483,
            -0.0389437489,
            -0.0374846496,
            -0.0360255502,
            -0.0345664509,
            -0.0331073515,
            -0.0316482522,
            -0.0301891528,
            -0.0287300535,
            -0.0272709541,
            -0.0258118547,
            -0.0243527554,
            -0.0228936579,
            -0.0214345586,
            -0.0199754592,
            -0.0185163599,
            -0.0170572605,
            -0.0155981611,
            -0.0141390618,
            -0.0130284624,
            -0.0120557295,
            -0.0110829966,
            -0.0101102637,
            -0.00913753081,
            -0.00816479791,
            -0.00719206547,
            -0.00621933257,
            -0.00524660014,
            -0.00427386723,
            -0.00330113433,
            -0.00232840143,
            -0.00135566853,
            -0.000382935628,
            0.000589797273,
            0.00156253017,
            0.00239165034,
            0.00312120002,
            0.00385074969,
            0.00458029937,
            0.00530984905,
            0.00603939826,
            0.00676894793,
            0.00749849761,
            0.00822804682,
            0.0089575965,
            0.00968714617,
            0.0104166958,
            0.0111462455,
            0.0118757952,
            0.0126053449,
            0.0133348946,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0138806207,
            0.0146101695,
            0.0153397191,
            0.0160692688,
            0.0167988185,
            0.0175283682,
            0.0182579178,
            0.0189874675,
            0.0197170172,
            0.0204465669,
            0.0211761165,
            0.0219056662,
            0.022635214,
            0.0233647637,
            0.0240943134,
            0.0248238631,
            0.025616603,
            0.0270757023,
            0.0285348017,
            0.029993901,
            0.0314529985,
            0.0329120979,
            0.0343711972,
            0.0358302966,
            0.0372893959,
            0.0387484953,
            0.0402075946,
            0.041666694,
            0.0431257933,
            0.0445848927,
            0.046043992,
            0.0475030914,
            0.0489621907,
            0.0506548993,
            0.0523571819,
            0.0540594608,
            0.0557617471,
            0.0574640259,
            0.0591663122,
            0.0608685911,
            0.0625708774,
            0.0642731562,
            0.0659754425,
            0.0676777214,
            0.0693800002,
            0.0710822865,
            0.0727845728,
            0.0744868517,
            0.0761891305,
            0.0770795271,
            0.0778090805,
            0.0785386264,
            0.0792681798,
            0.0799977258,
            0.0807272792,
            0.0814568251,
            0.0821863785,
            0.0829159245,
            0.0836454779,
            0.0843750238,
            0.0851045772,
            0.0858341232,
            0.0865636766,
            0.0872932225,
            0.0880227759,
            0.0887523219,
            0.0894818753,
            0.0902114213,
            0.0909409747,
            0.0916705206,
            0.092400074,
            0.09312962,
            0.0938591659,
            0.0945887193,
            0.0953182653,
            0.0960478187,
            0.0967773646,
            0.097506918,
            0.098236464,
            0.0989660174,
            0.0996955633,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0996668413,
            0.0989372954,
            0.098207742,
            0.097478196,
            0.0967486426,
            0.0960190967,
            0.0952895433,
            0.0945599973,
            0.0938304439,
            0.093100898,
            0.0923713446,
            0.0916417986,
            0.0909122527,
            0.0901826993,
            0.0894531459,
            0.0887235999,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0888384879,
            0.0895680413,
            0.0902975872,
            0.0910271406,
            0.0917566866,
            0.09248624,
            0.0932157859,
            0.0939453393,
            0.0946748853,
            0.0954044387,
            0.0961339846,
            0.096863538,
            0.097593084,
            0.0983226374,
            0.0990521833,
            0.0997817367,
            0.100511283,
            0.101240836,
            0.101970382,
            0.102699935,
            0.103429481,
            0.104159027,
            0.104888581,
            0.105618127,
            0.10634768,
            0.107077226,
            0.107806779,
            0.108536325,
            0.109265879,
            0.109995425,
            0.110724978,
            0.111454524,
            0.111345381,
            0.110615835,
            0.109886281,
            0.109156735,
            0.108427182,
            0.107697636,
            0.106968082,
            0.106238537,
            0.105508983,
            0.104779437,
            0.104049884,
            0.103320338,
            0.102590784,
            0.101861238,
            0.101131685,
            0.100402139,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0995289758,
            0.0980698764,
            0.0966107771,
            0.0951516777,
            0.0936925784,
            0.092233479,
            0.0907743797,
            0.0893152803,
            0.087856181,
            0.0863970816,
            0.0849379823,
            0.0834788829,
            0.0820197836,
            0.0805606842,
            0.0791015849,
            0.0776424855,
            0.0762791336,
            0.0753064007,
            0.0743336678,
            0.0733609349,
            0.072388202,
            0.0714154691,
            0.0704427361,
            0.0694700032,
            0.0684972703,
            0.0675245374,
            0.0665518045,
            0.0655790716,
            0.0646063387,
            0.0636336058,
            0.0626608729,
            0.06168814,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0617034584,
            0.0626761913,
            0.0636489242,
            0.0646216571,
            0.06559439,
            0.0665671229,
            0.0675398558,
            0.0685125887,
            0.0694853216,
            0.0704580545,
            0.0714307874,
            0.0724035203,
            0.0733762532,
            0.0743489861,
            0.0753217191,
            0.076294452,
            0.0776654631,
            0.0791245624,
            0.0805836618,
            0.0820427611,
            0.0835018605,
            0.0849609599,
            0.0864200592,
            0.0878791586,
            0.0893382579,
            0.0907973573,
            0.0922564566,
            0.093715556,
            0.0951746553,
            0.0966337547,
            0.098092854,
            0.0995519534,
            0.100505538,
            0.101235092,
            0.101964638,
            0.102694184,
            0.103423737,
            0.10415329,
            0.104882836,
            0.105612382,
            0.106341936,
            0.107071482,
            0.107801035,
            0.108530581,
            0.109260134,
            0.10998968,
            0.110719234,
            0.11144878,
            0.112178333,
            0.112907879,
            0.113637432,
            0.114366978,
            0.115096532,
            0.115826078,
            0.116555631,
            0.117285177,
            0.118014731,
            0.118744276,
            0.11947383,
            0.120203376,
            0.120932929,
            0.121662475,
            0.122392029,
            0.123121575,
            0.123958357,
            0.12493109,
            0.125903815,
            0.126876548,
            0.127849281,
            0.128822014,
            0.129794747,
            0.13076748,
            0.131740212,
            0.132712945,
            0.133685678,
            0.134658411,
            0.135631144,
            0.136603877,
            0.13757661,
            0.138549343,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139108479,
            0.1374062,
            0.135703906,
            0.134001628,
            0.132299349,
            0.13059707,
            0.128894776,
            0.127192497,
            0.125490218,
            0.12378794,
            0.122085653,
            0.120383367,
            0.118681088,
            0.116978809,
            0.115276523,
            0.113574244,
            0.111871958,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111356869,
            0.110627323,
            0.10989777,
            0.109168224,
            0.108438671,
            0.107709125,
            0.106979571,
            0.106250025,
            0.105520472,
            0.104790926,
            0.104061373,
            0.103331827,
            0.102602273,
            0.101872727,
            0.101143174,
            0.100413628,
            0.0996840745,
            0.0989545286,
            0.0982249752,
            0.0974954292,
            0.0967658758,
            0.0960363299,
            0.0953067765,
            0.0945772305,
            0.0938476771,
            0.0931181312,
            0.0923885852,
            0.0916590318,
            0.0909294784,
            0.0901999325,
            0.0894703865,
            0.0887408331,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0876493827,
            0.0869198292,
            0.0861902833,
            0.0854607299,
            0.0847311839,
            0.0840016305,
            0.0832720846,
            0.0825425312,
            0.0818129852,
            0.0810834318,
            0.0803538859,
            0.0796243325,
            0.0788947865,
            0.0781652331,
            0.0774356872,
            0.0767061412,
            0.0758119151,
            0.0748391822,
            0.0738664493,
            0.0728937164,
            0.0719209835,
            0.0709482506,
            0.0699755177,
            0.0690027848,
            0.0680300519,
            0.067057319,
            0.0660845861,
            0.0651118532,
            0.0641391203,
            0.0631663874,
            0.0621936545,
            0.0612209216,
            0.0603822246,
            0.0596526749,
            0.0589231253,
            0.0581935756,
            0.0574640259,
            0.05673448,
            0.0560049266,
            0.0552753806,
            0.0545458272,
            0.0538162813,
            0.0530867316,
            0.0523571819,
            0.0516276322,
            0.0508980826,
            0.0501685329,
            0.0494389832,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0503734201,
            0.052075699,
            0.0537779815,
            0.0554802641,
            0.0571825467,
            0.0588848293,
            0.0605871119,
            0.0622893944,
            0.0639916807,
            0.0656939596,
            0.0673962384,
            0.0690985247,
            0.0708008111,
            0.0725030899,
            0.0742053688,
            0.0759076551,
            0.0769588947,
            0.0776884407,
            0.0784179941,
            0.07914754,
            0.0798770934,
            0.0806066394,
            0.0813361928,
            0.0820657387,
            0.0827952921,
            0.0835248381,
            0.0842543915,
            0.0849839374,
            0.0857134908,
            0.0864430368,
            0.0871725902,
            0.0879021361,
            0.0878389478,
            0.0871094018,
            0.0863798484,
            0.0856503025,
            0.0849207491,
            0.0841912031,
            0.0834616497,
            0.0827321038,
            0.0820025504,
            0.0812730044,
            0.080543451,
            0.0798139051,
            0.0790843517,
            0.0783548057,
            0.0776252523,
            0.0768957064,
            0.0760646686,
            0.0750919357,
            0.0741192028,
            0.0731464699,
            0.072173737,
            0.0712010041,
            0.0702282712,
            0.0692555383,
            0.0682828054,
            0.0673100725,
            0.0663373396,
            0.0653646067,
            0.0643918738,
            0.0634191409,
            0.0624464117,
            0.0614736788,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0609451868,
            0.0619179197,
            0.0628906488,
            0.0638633817,
            0.0648361146,
            0.0658088475,
            0.0667815804,
            0.0677543133,
            0.0687270463,
            0.0696997792,
            0.0706725121,
            0.071645245,
            0.0726179779,
            0.0735907108,
            0.0745634437,
            0.0755361766,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0771369711,
            0.0778665245,
            0.0785960704,
            0.0793256238,
            0.0800551698,
            0.0807847232,
            0.0815142691,
            0.0822438225,
            0.0829733685,
            0.0837029219,
            0.0844324678,
            0.0851620212,
            0.0858915672,
            0.0866211206,
            0.0873506665,
            0.0880802199,
            0.0888097659,
            0.0895393193,
            0.0902688652,
            0.0909984186,
            0.0917279646,
            0.092457518,
            0.0931870639,
            0.0939166173,
            0.0946461633,
            0.0953757167,
            0.0961052626,
            0.0968348086,
            0.097564362,
            0.0982939154,
            0.0990234613,
            0.0997530073,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100023001,
            0.100752555,
            0.101482101,
            0.102211654,
            0.1029412,
            0.103670746,
            0.104400299,
            0.105129845,
            0.105859399,
            0.106588945,
            0.107318498,
            0.108048044,
            0.108777598,
            0.109507143,
            0.110236697,
            0.110966243,
            0.111695796,
            0.112425342,
            0.113154896,
            0.113884442,
            0.114613995,
            0.115343541,
            0.116073094,
            0.11680264,
            0.117532194,
            0.11826174,
            0.118991293,
            0.119720839,
            0.120450392,
            0.121179938,
            0.121909492,
            0.122639038,
            0.123368591,
            0.124856412,
            0.126558691,
            0.12826097,
            0.129963264,
            0.131665543,
            0.133367822,
            0.1350701,
            0.136772394,
            0.138474673,
            0.140176952,
            0.141879231,
            0.14358151,
            0.145283803,
            0.146986082,
            0.148688361,
            0.15039064,
            0.151457205,
            0.152186766,
            0.152916312,
            0.153645873,
            0.154375419,
            0.15510498,
            0.155834526,
            0.156564087,
            0.157293633,
            0.158023193,
            0.158752739,
            0.1594823,
            0.160211846,
            0.160941407,
            0.161670953,
            0.162400514,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162452206,
            0.16172266,
            0.160993099,
            0.160263553,
            0.159533992,
            0.158804446,
            0.158074886,
            0.15734534,
            0.156615779,
            0.155886233,
            0.155156672,
            0.154427126,
            0.153697565,
            0.152968019,
            0.152238458,
            0.151508912,
            0.150779352,
            0.150049806,
            0.14932026,
            0.148590714,
            0.147861153,
            0.147131607,
            0.146402061,
            0.145672515,
            0.144942954,
            0.144213408,
            0.143483862,
            0.142754316,
            0.142024755,
            0.14129521,
            0.140565664,
            0.139836118,
            0.139070183,
            0.13809745,
            0.137124717,
            0.136151984,
            0.135179251,
            0.134206519,
            0.133233786,
            0.132261053,
            0.13128832,
            0.130315587,
            0.129342854,
            0.128370121,
            0.127397388,
            0.126424655,
            0.125451922,
            0.12447919,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.122874565,
            0.122145012,
            0.121415466,
            0.120685913,
            0.119956367,
            0.119226813,
            0.118497267,
            0.117767714,
            0.117038168,
            0.116308615,
            0.115579069,
            0.114849515,
            0.114119969,
            0.113390416,
            0.11266087,
            0.111931317,
            0.111201771,
            0.110472217,
            0.109742671,
            0.109013118,
            0.108283572,
            0.107554018,
            0.106824473,
            0.106094919,
            0.105365373,
            0.10463582,
            0.103906274,
            0.103176728,
            0.102447174,
            0.101717621,
            0.100988075,
            0.100258529,
            0.0995289758,
            0.0987994298,
            0.0980698764,
            0.0973403305,
            0.0966107771,
            0.0958812311,
            0.0951516777,
            0.0944221318,
            0.0936925784,
            0.0929630324,
            0.092233479,
            0.0915039331,
            0.0907743797,
            0.0900448337,
            0.0893152803,
            0.0885857344,
            0.0873506665,
            0.0856483877,
            0.0839461014,
            0.0822438225,
            0.0805415362,
            0.0788392574,
            0.0771369711,
            0.0754346922,
            0.0737324059,
            0.072030127,
            0.0703278482,
            0.0686255619,
            0.0669232756,
            0.0652209967,
            0.0635187179,
            0.0618164316,
            0.0602098927,
            0.0587507933,
            0.057291694,
            0.0558325946,
            0.0543734953,
            0.0529143959,
            0.0514552966,
            0.0499961972,
            0.0485370979,
            0.0470779985,
            0.0456188992,
            0.0441597998,
            0.0427007005,
            0.0412416011,
            0.0397825018,
            0.0383234024,
            0.0370596163,
            0.0363300666,
            0.0356005169,
            0.0348709673,
            0.0341414176,
            0.0334118679,
            0.0326823182,
            0.0319527686,
            0.0312232208,
            0.0304936711,
            0.0297641214,
            0.0290345717,
            0.028305022,
            0.0275754724,
            0.0268459227,
            0.026116373,
            0.0253868233,
            0.0246572737,
            0.023927724,
            0.0231981743,
            0.0224686246,
            0.021739075,
            0.0210095271,
            0.0202799775,
            0.0195504278,
            0.0188208781,
            0.0180913284,
            0.0173617788,
            0.0166322291,
            0.0159026794,
            0.0151731297,
            0.0144435801,
            0.013698712,
            0.0119964294,
            0.0102941468,
            0.00859186426,
            0.00688958215,
            0.00518730003,
            0.00348501746,
            0.00178273488,
            8.04523006e-5,
            -0.00162182935,
            -0.00332411192,
            -0.0050263945,
            -0.00672867708,
            -0.00843095966,
            -0.0101332422,
            -0.0118355248,
            -0.0135378055,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0142826745,
            -0.0150122242,
            -0.0157417729,
            -0.0164713226,
            -0.0172008723,
            -0.017930422,
            -0.0186599717,
            -0.0193895213,
            -0.020119071,
            -0.0208486207,
            -0.0215781704,
            -0.02230772,
            -0.0230372697,
            -0.0237668194,
            -0.0244963691,
            -0.0252259187,
            -0.0259554684,
            -0.0266850181,
            -0.0274145678,
            -0.0281441174,
            -0.0288736671,
            -0.0296032168,
            -0.0303327665,
            -0.0310623161,
            -0.0317918658,
            -0.0325214155,
            -0.0332509652,
            -0.0339805149,
            -0.0347100645,
            -0.0354396105,
            -0.0361691639,
            -0.0368987098,
            -0.0368814766,
            -0.0361519307,
            -0.035422381,
            -0.0346928313,
            -0.0339632817,
            -0.033233732,
            -0.0325041823,
            -0.0317746326,
            -0.0310450811,
            -0.0303155333,
            -0.0295859836,
            -0.0288564339,
            -0.0281268843,
            -0.0273973346,
            -0.0266677849,
            -0.0259382352,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0253005959,
            -0.0245710462,
            -0.0238414984,
            -0.0231119487,
            -0.0223823991,
            -0.0216528494,
            -0.0209232997,
            -0.02019375,
            -0.0194642004,
            -0.0187346507,
            -0.018005101,
            -0.0172755513,
            -0.0165460017,
            -0.015816452,
            -0.0150869023,
            -0.0143573526,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.013731204,
            -0.0144607536,
            -0.0151903033,
            -0.015919853,
            -0.0166494027,
            -0.0173789524,
            -0.018108502,
            -0.0188380517,
            -0.0195676014,
            -0.0202971511,
            -0.0210267007,
            -0.0217562504,
            -0.0224858001,
            -0.0232153498,
            -0.0239448994,
            -0.0246744491,
            -0.0254039988,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0253063403,
            -0.0245767925,
            -0.0238472428,
            -0.0231176931,
            -0.0223881435,
            -0.0216585938,
            -0.0209290441,
            -0.0201994944,
            -0.0194699448,
            -0.0187403951,
            -0.0180108454,
            -0.0172812957,
            -0.0165517461,
            -0.0158221964,
            -0.0150926467,
            -0.014363097,
            -0.0135109983,
            -0.0118087167,
            -0.0101064341,
            -0.00840415154,
            -0.00670186942,
            -0.00499958731,
            -0.00329730473,
            -0.00159502216,
            0.000107260421,
            0.001809543,
            0.00351182558,
            0.00521410815,
            0.00691638887,
            0.00861867145,
            0.010320954,
            0.0120232366
          ],
          [
            0.0137255192,
            0.0129959695,
            0.0122664198,
            0.0115368702,
            0.0108073205,
            0.0100777708,
            0.00934822112,
            0.00861867145,
            0.0078891227,
            0.00715957303,
            0.00643002335,
            0.00570047367,
            0.004970924,
            0.00424137432,
            0.00351182465,
            0.00278227497,
            0.00205272622,
            0.00259845192,
            0.00332800136,
            0.0040575508,
            0.00478710048,
            0.00551665016,
            0.00624619983,
            0.00697574951,
            0.00770529918,
            0.00843484886,
            0.00916439854,
            0.00989394728,
            0.010623497,
            0.0113530466,
            0.0120825963,
            0.012812146,
            0.0135416957,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0132717052,
            0.0125421556,
            0.0118126059,
            0.0110830562,
            0.0103535065,
            0.00962395687,
            0.00889440719,
            0.00816485751,
            0.0074353083,
            0.00670575863,
            0.00597620895,
            0.00524665974,
            0.00451711006,
            0.00378756039,
            0.00305801071,
            0.00232846104,
            0.00147827726,
            0.000505544478,
            -0.000467188191,
            -0.00143992109,
            -0.00241265399,
            -0.00338538643,
            -0.00435811933,
            -0.00533085223,
            -0.00630358513,
            -0.00727631804,
            -0.00824905094,
            -0.00922178291,
            -0.0101945158,
            -0.0111672487,
            -0.0121399816,
            -0.0131127145,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0127603859,
            -0.011787653,
            -0.0108149201,
            -0.00984218717,
            -0.0088694552,
            -0.00789672229,
            -0.00692398939,
            -0.00595125649,
            -0.00497852359,
            -0.00400579069,
            -0.00303305872,
            -0.00206032582,
            -0.00108759291,
            -0.000114860013,
            0.000857872888,
            0.00183060579,
            0.00259270729,
            0.00332225696,
            0.00405180641,
            0.00478135608,
            0.00551090576,
            0.00624045543,
            0.00697000511,
            0.00769955432,
            0.00842910446,
            0.00915865414,
            0.00988820288,
            0.0106177526,
            0.0113473022,
            0.0120768519,
            0.0128064016,
            0.0135359513,
            0.0148054827,
            0.0162645821,
            0.0177236795,
            0.0191827789,
            0.0206418782,
            0.0221009776,
            0.023560077,
            0.0250191763,
            0.0264782757,
            0.027937375,
            0.0293964744,
            0.0308555737,
            0.0323146731,
            0.0337737724,
            0.0352328718,
            0.0366919711,
            0.037703,
            0.0384325497,
            0.0391620994,
            0.039891649,
            0.0406211987,
            0.0413507484,
            0.0420802981,
            0.0428098477,
            0.0435393974,
            0.0442689471,
            0.0449984968,
            0.0457280427,
            0.0464575961,
            0.0471871421,
            0.0479166955,
            0.0486462414,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0485773087,
            0.047847759,
            0.0471182093,
            0.0463886596,
            0.04565911,
            0.0449295603,
            0.0442000106,
            0.0434704609,
            0.0427409112,
            0.0420113616,
            0.0412818119,
            0.0405522659,
            0.0398227125,
            0.0390931666,
            0.0383636132,
            0.0376340672,
            0.0365541019,
            0.0350950025,
            0.0336359031,
            0.0321768038,
            0.0307177063,
            0.029258607,
            0.0277995076,
            0.0263404083,
            0.0248813089,
            0.0234222095,
            0.0219631102,
            0.0205040108,
            0.0190449115,
            0.017585814,
            0.0161267146,
            0.0146676153,
            0.0131223481,
            0.0114200655,
            0.00971778296,
            0.00801550131,
            0.00631321874,
            0.00461093616,
            0.00290865358,
            0.00120637193,
            -0.000495910645,
            -0.00219819322,
            -0.0039004758,
            -0.00560275838,
            -0.00730504096,
            -0.00900732353,
            -0.0107096042,
            -0.0124118868,
            -0.0138920499,
            -0.0146215996,
            -0.0153511483,
            -0.016080698,
            -0.0168102477,
            -0.0175397974,
            -0.018269347,
            -0.0189988967,
            -0.0197284464,
            -0.0204579961,
            -0.0211875457,
            -0.0219170954,
            -0.0226466451,
            -0.0233761948,
            -0.0241057426,
            -0.0248352922,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.026110569,
            -0.0268401187,
            -0.0275696684,
            -0.028299218,
            -0.0290287677,
            -0.0297583174,
            -0.0304878671,
            -0.0312174167,
            -0.0319469646,
            -0.0326765142,
            -0.0334060639,
            -0.0341356136,
            -0.0348651633,
            -0.0355947129,
            -0.0363242626,
            -0.0370538123,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0375076272,
            -0.0382371768,
            -0.0389667265,
            -0.0396962762,
            -0.0404258259,
            -0.0411553755,
            -0.0418849252,
            -0.0426144749,
            -0.0433440246,
            -0.0440735742,
            -0.0448031239,
            -0.0455326736,
            -0.0462622233,
            -0.0469917729,
            -0.0477213226,
            -0.0484508723,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0489506423,
            -0.0482210927,
            -0.047491543,
            -0.0467619933,
            -0.0460324436,
            -0.045302894,
            -0.0445733443,
            -0.0438437946,
            -0.0431142449,
            -0.0423846953,
            -0.0416551456,
            -0.0409255959,
            -0.0401960462,
            -0.0394664966,
            -0.0387369469,
            -0.0380073972,
            -0.0372778475,
            -0.0365482979,
            -0.0358187482,
            -0.0350891985,
            -0.0343596488,
            -0.0336300991,
            -0.0329005495,
            -0.0321709998,
            -0.0314414501,
            -0.0307119004,
            -0.0299823526,
            -0.0292528011,
            -0.0285232533,
            -0.0277937036,
            -0.0270641539,
            -0.0263346042,
            -0.0256050546,
            -0.0240559578,
            -0.0223536752,
            -0.0206513926,
            -0.0189491101,
            -0.0172468275,
            -0.0155445468,
            -0.0138422642,
            -0.0121399816,
            -0.010437699,
            -0.00873541646,
            -0.00703313388,
            -0.00533085316,
            -0.00362857059,
            -0.00192628801,
            -0.000224005431,
            0.00147827715,
            0.0024835621,
            0.00321311178,
            0.00394266099,
            0.00467221066,
            0.00540176034,
            0.00613131002,
            0.00686085969,
            0.00759040937,
            0.00831995904,
            0.00904950872,
            0.0097790584,
            0.0105086081,
            0.0112381568,
            0.0119677065,
            0.0126972562,
            0.0134268058,
            0.0141563555,
            0.0148859052,
            0.0156154549,
            0.0163450036,
            0.0170745533,
            0.017804103,
            0.0185336526,
            0.0192632023,
            0.019992752,
            0.0207223017,
            0.0214518514,
            0.022181401,
            0.0229109507,
            0.0236405004,
            0.0243700501,
            0.0250995997,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.025645325,
            0.0263748746,
            0.0271044243,
            0.027833974,
            0.0285635237,
            0.0292930733,
            0.030022623,
            0.0307521727,
            0.0314817205,
            0.0322112702,
            0.0329408199,
            0.0336703733,
            0.0343999192,
            0.0351294689,
            0.0358590186,
            0.0365885682,
            0.0373181179,
            0.0380476676,
            0.0387772173,
            0.0395067669,
            0.0402363166,
            0.0409658663,
            0.041695416,
            0.0424249656,
            0.0431545153,
            0.043884065,
            0.0446136147,
            0.0453431644,
            0.046072714,
            0.0468022637,
            0.0475318134,
            0.0482613631,
            0.0489909127,
            0.0506548993,
            0.0523571819,
            0.0540594608,
            0.0557617471,
            0.0574640259,
            0.0591663122,
            0.0608685911,
            0.0625708774,
            0.0642731562,
            0.0659754425,
            0.0676777214,
            0.0693800002,
            0.0710822865,
            0.0727845728,
            0.0744868517,
            0.0761891305,
            0.0770795271,
            0.0778090805,
            0.0785386264,
            0.0792681798,
            0.0799977258,
            0.0807272792,
            0.0814568251,
            0.0821863785,
            0.0829159245,
            0.0836454779,
            0.0843750238,
            0.0851045772,
            0.0858341232,
            0.0865636766,
            0.0872932225,
            0.0880227759,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0879021361,
            0.0871725902,
            0.0864430368,
            0.0857134908,
            0.0849839374,
            0.0842543915,
            0.0835248381,
            0.0827952921,
            0.0820657387,
            0.0813361928,
            0.0806066394,
            0.0798770934,
            0.0791475475,
            0.0784179941,
            0.0776884407,
            0.0769588947,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0769818723,
            0.0777114257,
            0.0784409717,
            0.0791705251,
            0.079900071,
            0.080629617,
            0.0813591704,
            0.0820887163,
            0.0828182697,
            0.0835478157,
            0.0842773691,
            0.085006915,
            0.0857364684,
            0.0864660144,
            0.0871955678,
            0.0879251137,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0879997984,
            0.087270245,
            0.086540699,
            0.0858111456,
            0.0850815997,
            0.0843520463,
            0.0836225003,
            0.0828929469,
            0.0821634009,
            0.0814338475,
            0.0807043016,
            0.0799747482,
            0.0792452022,
            0.0785156488,
            0.0777861029,
            0.0770565495,
            0.0762791336,
            0.0753064007,
            0.0743336678,
            0.0733609349,
            0.072388202,
            0.0714154691,
            0.0704427361,
            0.0694700032,
            0.0684972703,
            0.0675245374,
            0.0665518045,
            0.0655790716,
            0.0646063387,
            0.0636336058,
            0.0626608729,
            0.06168814,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0614583604,
            0.0624310933,
            0.0634038225,
            0.0643765554,
            0.0653492883,
            0.0663220212,
            0.0672947541,
            0.068267487,
            0.0692402199,
            0.0702129528,
            0.0711856857,
            0.0721584186,
            0.0731311515,
            0.0741038844,
            0.0750766173,
            0.0760493502,
            0.0768842176,
            0.0776137635,
            0.0783433169,
            0.0790728629,
            0.0798024163,
            0.0805319622,
            0.0812615156,
            0.0819910616,
            0.082720615,
            0.0834501609,
            0.0841797143,
            0.0849092603,
            0.0856388137,
            0.0863683596,
            0.087097913,
            0.087827459,
            0.0885570124,
            0.0892865583,
            0.0900161117,
            0.0907456577,
            0.0914752111,
            0.092204757,
            0.0929343104,
            0.0936638564,
            0.0943934098,
            0.0951229557,
            0.0958525091,
            0.0965820551,
            0.097311601,
            0.0980411544,
            0.0987707078,
            0.0995002538,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0998621583,
            0.0991326049,
            0.0984030589,
            0.0976735055,
            0.0969439596,
            0.0962144062,
            0.0954848602,
            0.0947553068,
            0.0940257609,
            0.0932962075,
            0.0925666615,
            0.0918371081,
            0.0911075622,
            0.0903780088,
            0.0896484628,
            0.0889189094,
            0.0881893635,
            0.0874598101,
            0.0867302641,
            0.0860007107,
            0.0852711648,
            0.0845416114,
            0.0838120654,
            0.083082512,
            0.0823529661,
            0.0816234201,
            0.0808938667,
            0.0801643133,
            0.0794347674,
            0.0787052214,
            0.077975668,
            0.0772461221,
            0.0765165687,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0759268031,
            0.0749540702,
            0.0739813372,
            0.0730086043,
            0.0720358714,
            0.0710631385,
            0.0700904056,
            0.0691176727,
            0.0681449398,
            0.0671722069,
            0.066199474,
            0.0652267411,
            0.0642540082,
            0.0632812753,
            0.0623085424,
            0.0613358095,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0609605052,
            0.0619332381,
            0.0629059672,
            0.0638787001,
            0.064851433,
            0.0658241659,
            0.0667968988,
            0.0677696317,
            0.0687423646,
            0.0697150975,
            0.0706878304,
            0.0716605633,
            0.0726332963,
            0.0736060292,
            0.0745787621,
            0.075551495,
            0.0765108243,
            0.0772403777,
            0.0779699236,
            0.078699477,
            0.079429023,
            0.0801585764,
            0.0808881223,
            0.0816176683,
            0.0823472217,
            0.0830767751,
            0.083806321,
            0.084535867,
            0.0852654204,
            0.0859949663,
            0.0867245197,
            0.0874540657,
            0.0881836191,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0876493827,
            0.0869198292,
            0.0861902833,
            0.0854607299,
            0.0847311839,
            0.0840016305,
            0.0832720846,
            0.0825425312,
            0.0818129852,
            0.0810834318,
            0.0803538859,
            0.0796243325,
            0.0788947865,
            0.0781652331,
            0.0774356872,
            0.0767061412,
            0.0758119151,
            0.0748391822,
            0.0738664493,
            0.0728937164,
            0.0719209835,
            0.0709482506,
            0.0699755177,
            0.0690027848,
            0.0680300519,
            0.067057319,
            0.0660845861,
            0.0651118532,
            0.0641391203,
            0.0631663874,
            0.0621936545,
            0.0612209216,
            0.0603822246,
            0.0596526749,
            0.0589231253,
            0.0581935756,
            0.0574640259,
            0.05673448,
            0.0560049266,
            0.0552753806,
            0.0545458272,
            0.0538162813,
            0.0530867316,
            0.0523571819,
            0.0516276322,
            0.0508980826,
            0.0501685329,
            0.0494389832,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.049507916,
            0.0502374656,
            0.0509670153,
            0.051696565,
            0.0524261147,
            0.0531556644,
            0.053885214,
            0.0546147637,
            0.0553443134,
            0.0560738631,
            0.0568034127,
            0.0575329624,
            0.0582625121,
            0.0589920618,
            0.0597216114,
            0.0604511611,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0608226359,
            0.0617953688,
            0.0627681017,
            0.0637408346,
            0.0647135675,
            0.0656863004,
            0.0666590333,
            0.0676317662,
            0.0686044991,
            0.069577232,
            0.0705499649,
            0.0715226978,
            0.0724954307,
            0.0734681636,
            0.0744408965,
            0.0754136294,
            0.0763863623,
            0.0771369711,
            0.0778665245,
            0.0785960704,
            0.0793256238,
            0.0800551698,
            0.0807847232,
            0.0815142691,
            0.0822438225,
            0.0829733685,
            0.0837029219,
            0.0844324678,
            0.0851620212,
            0.0858915672,
            0.0866211206,
            0.0873506665,
            0.0880802199,
            0.0888097659,
            0.0895393193,
            0.0902688652,
            0.0909984186,
            0.0917279646,
            0.092457518,
            0.0931870639,
            0.0939166173,
            0.0946461633,
            0.0953757167,
            0.0961052626,
            0.0968348086,
            0.097564362,
            0.0982939154,
            0.0990234613,
            0.0997530073,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0997932255,
            0.0990636721,
            0.0983341262,
            0.0976045728,
            0.0968750268,
            0.0961454734,
            0.0954159275,
            0.0946863741,
            0.0939568281,
            0.0932272747,
            0.0924977288,
            0.0917681754,
            0.0910386294,
            0.090309076,
            0.0895795301,
            0.0888499767,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882582963,
            0.0889878497,
            0.0897173956,
            0.090446949,
            0.091176495,
            0.0919060409,
            0.0926355943,
            0.0933651403,
            0.0940946937,
            0.0948242396,
            0.095553793,
            0.096283339,
            0.0970128924,
            0.0977424383,
            0.0984719917,
            0.0992015377,
            0.0999310911,
            0.101321258,
            0.102780357,
            0.104239456,
            0.105698556,
            0.107157655,
            0.108616754,
            0.110075846,
            0.111534953,
            0.112994045,
            0.114453152,
            0.115912244,
            0.117371351,
            0.118830442,
            0.120289549,
            0.121748641,
            0.12320774,
            0.12428771,
            0.125260442,
            0.126233175,
            0.127205908,
            0.128178641,
            0.129151374,
            0.130124107,
            0.13109684,
            0.132069573,
            0.133042306,
            0.134015039,
            0.134987772,
            0.135960504,
            0.136933237,
            0.13790597,
            0.138878703,
            0.1396925,
            0.140422046,
            0.141151592,
            0.141881153,
            0.142610699,
            0.143340245,
            0.144069791,
            0.144799352,
            0.145528898,
            0.146258444,
            0.14698799,
            0.14771755,
            0.148447096,
            0.149176642,
            0.149906188,
            0.150635749,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150871262,
            0.150141716,
            0.14941217,
            0.148682624,
            0.147953063,
            0.147223517,
            0.146493971,
            0.145764425,
            0.145034865,
            0.144305319,
            0.143575773,
            0.142846227,
            0.142116666,
            0.14138712,
            0.140657574,
            0.139928028,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.138342544,
            0.137369812,
            0.136397079,
            0.135424346,
            0.134451613,
            0.13347888,
            0.132506147,
            0.131533414,
            0.130560681,
            0.129587948,
            0.128615215,
            0.127642483,
            0.12666975,
            0.125697017,
            0.124724284,
            0.123751551,
            0.122403517,
            0.120944418,
            0.119485319,
            0.118026219,
            0.11656712,
            0.115108021,
            0.113648921,
            0.112189822,
            0.110730723,
            0.109271623,
            0.107812524,
            0.106353424,
            0.104894325,
            0.103435226,
            0.101976126,
            0.100517027,
            0.0990579277,
            0.0975988284,
            0.096139729,
            0.0946806297,
            0.0932215303,
            0.091762431,
            0.0903033316,
            0.0888442323,
            0.0873851329,
            0.0859260336,
            0.0844669342,
            0.0830078349,
            0.0815487355,
            0.0800896436,
            0.0786305368,
            0.0771714449,
            0.0755859613,
            0.0738836825,
            0.0721813962,
            0.0704791173,
            0.068776831,
            0.0670745522,
            0.0653722659,
            0.063669987,
            0.0619677044,
            0.0602654219,
            0.0585631393,
            0.0568608567,
            0.0551585741,
            0.0534562916,
            0.051754009,
            0.0500517264,
            0.0487324111,
            0.0480028614,
            0.0472733118,
            0.0465437621,
            0.0458142124,
            0.0450846627,
            0.0443551131,
            0.0436255634,
            0.0428960137,
            0.042166464,
            0.0414369144,
            0.0407073647,
            0.039977815,
            0.0392482653,
            0.0385187156,
            0.037789166,
            0.0370596163,
            0.0363300666,
            0.0356005169,
            0.0348709673,
            0.0341414176,
            0.0334118679,
            0.0326823182,
            0.0319527686,
            0.0312232208,
            0.0304936711,
            0.0297641214,
            0.0290345717,
            0.028305022,
            0.0275754724,
            0.0268459227,
            0.026116373,
            0.0253868233,
            0.0246572737,
            0.023927724,
            0.0231981743,
            0.0224686246,
            0.021739075,
            0.0210095271,
            0.0202799775,
            0.0195504278,
            0.0188208781,
            0.0180913284,
            0.0173617788,
            0.0166322291,
            0.0159026794,
            0.0151731297,
            0.0144435801,
            0.013698712,
            0.0119964294,
            0.0102941468,
            0.00859186426,
            0.00688958215,
            0.00518730003,
            0.00348501746,
            0.00178273488,
            8.04523006e-5,
            -0.00162182935,
            -0.00332411192,
            -0.0050263945,
            -0.00672867708,
            -0.00843095966,
            -0.0101332422,
            -0.0118355248,
            -0.0135378055,
            -0.0143745868,
            -0.0151041355,
            -0.0158336852,
            -0.0165632349,
            -0.0172927845,
            -0.0180223342,
            -0.0187518839,
            -0.0194814336,
            -0.0202109832,
            -0.0209405329,
            -0.0216700826,
            -0.0223996323,
            -0.0231291801,
            -0.0238587297,
            -0.0245882794,
            -0.0253178291,
            -0.0260473806,
            -0.0267769285,
            -0.0275064781,
            -0.0282360278,
            -0.0289655775,
            -0.0296951272,
            -0.0304246768,
            -0.0311542265,
            -0.0318837762,
            -0.0326133259,
            -0.0333428755,
            -0.0340724252,
            -0.0348019749,
            -0.0355315246,
            -0.0362610742,
            -0.0369906239,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0368814766,
            -0.0361519307,
            -0.035422381,
            -0.0346928313,
            -0.0339632817,
            -0.033233732,
            -0.0325041823,
            -0.0317746326,
            -0.0310450811,
            -0.0303155333,
            -0.0295859836,
            -0.0288564339,
            -0.0281268843,
            -0.0273973346,
            -0.0266677849,
            -0.0259382352,
            -0.0252086855,
            -0.0244791359,
            -0.0237495862,
            -0.0230200365,
            -0.0222904868,
            -0.0215609372,
            -0.0208313875,
            -0.0201018378,
            -0.0193722881,
            -0.0186427385,
            -0.0179131888,
            -0.0171836391,
            -0.0164540894,
            -0.0157245398,
            -0.014994991,
            -0.0142654413,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0134803616,
            -0.0125076286,
            -0.0115348957,
            -0.0105621628,
            -0.00958942994,
            -0.00861669704,
            -0.00764396507,
            -0.00667123217,
            -0.00569849927,
            -0.00472576637,
            -0.00375303347,
            -0.00278030057,
            -0.00180756859,
            -0.000834835693,
            0.000137897208,
            0.00111063011,
            0.00205272576,
            0.00278227543,
            0.00351182488,
            0.00424137432,
            0.004970924,
            0.00570047367,
            0.00643002335,
            0.00715957303,
            0.0078891227,
            0.00861867145,
            0.00934822112,
            0.0100777708,
            0.0108073205,
            0.0115368702,
            0.0122664198,
            0.0129959695
          ],
          [
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0250364095,
            0.0243068598,
            0.0235773101,
            0.0228477605,
            0.0221182108,
            0.0213886611,
            0.0206591114,
            0.0199295618,
            0.019200014,
            0.0184704643,
            0.0177409146,
            0.0170113649,
            0.0162818152,
            0.0155522656,
            0.0148227159,
            0.0140931662,
            0.0133636165,
            0.0126340669,
            0.0119045172,
            0.0111749675,
            0.0104454178,
            0.00971586816,
            0.00898631848,
            0.00825676974,
            0.00752722006,
            0.00679767039,
            0.00606812071,
            0.00533857103,
            0.00460902136,
            0.00387947168,
            0.00314992201,
            0.00242037326,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00204698136,
            0.0027765308,
            0.00350608048,
            0.00423562992,
            0.0049651796,
            0.00569472928,
            0.00642427895,
            0.00715382863,
            0.00788337737,
            0.00861292705,
            0.00934247673,
            0.0100720264,
            0.0108015761,
            0.0115311258,
            0.0122606754,
            0.0129902251,
            0.0137197748,
            0.0144493245,
            0.0151788741,
            0.0159084238,
            0.0166379735,
            0.0173675232,
            0.0180970728,
            0.0188266225,
            0.0195561722,
            0.0202857219,
            0.0210152715,
            0.0217448212,
            0.0224743709,
            0.0232039206,
            0.0239334702,
            0.0246630181,
            0.0253925677,
            0.0261221174,
            0.0268516671,
            0.0275812168,
            0.0283107664,
            0.0290403161,
            0.0297698658,
            0.0304994155,
            0.0312289651,
            0.031958513,
            0.0326880626,
            0.0334176123,
            0.034147162,
            0.0348767117,
            0.0356062613,
            0.036335811,
            0.0370653607,
            0.0377949104,
            0.03852446,
            0.0392540097,
            0.0399835594,
            0.0407131091,
            0.0414426588,
            0.0421722084,
            0.0429017581,
            0.0436313078,
            0.0443608575,
            0.0450904071,
            0.0458199568,
            0.0465495065,
            0.0472790562,
            0.0480086058,
            0.0487381555,
            0.0494677052,
            0.0501972549,
            0.0509268045,
            0.0516563542,
            0.0523859039,
            0.0531154536,
            0.0538450032,
            0.0545745529,
            0.0553041026,
            0.0560336523,
            0.056763202,
            0.0574927479,
            0.0582223013,
            0.0589518473,
            0.0596814007,
            0.0604109466,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0611366667,
            0.0621093996,
            0.0630821362,
            0.0640548691,
            0.065027602,
            0.0660003349,
            0.0669730678,
            0.0679458007,
            0.0689185336,
            0.0698912665,
            0.070863992,
            0.0718367249,
            0.0728094578,
            0.0737821907,
            0.0747549236,
            0.0757276565,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0758808479,
            0.074908115,
            0.0739353821,
            0.0729626492,
            0.0719899163,
            0.0710171834,
            0.0700444505,
            0.0690717176,
            0.0680989847,
            0.0671262518,
            0.0661535189,
            0.065180786,
            0.0642080531,
            0.0632353202,
            0.0622625872,
            0.0612898543,
            0.0600835122,
            0.0586244129,
            0.0571653135,
            0.0557062142,
            0.0542471148,
            0.0527880192,
            0.0513289198,
            0.0498698205,
            0.0484107211,
            0.0469516218,
            0.0454925224,
            0.0440334231,
            0.0425743237,
            0.0411152244,
            0.039656125,
            0.0381970257,
            0.0367379263,
            0.035278827,
            0.0338197276,
            0.0323606282,
            0.0309015289,
            0.0294424295,
            0.0279833302,
            0.0265242308,
            0.0250651315,
            0.0236060321,
            0.0221469328,
            0.0206878353,
            0.0192287359,
            0.0177696366,
            0.0163105372,
            0.0148514379,
            0.0135589289,
            0.0128293792,
            0.0120998304,
            0.0113702808,
            0.0106407311,
            0.00991118141,
            0.00918163173,
            0.00845208205,
            0.00772253238,
            0.0069929827,
            0.00626343302,
            0.00553388335,
            0.00480433367,
            0.004074784,
            0.00334523525,
            0.00261568557,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00101105915,
            3.83263687e-5,
            -0.000934406416,
            -0.00190713909,
            -0.00287987199,
            -0.00385260489,
            -0.00482533779,
            -0.00579807023,
            -0.00677080266,
            -0.00774353556,
            -0.00871626846,
            -0.00968900137,
            -0.0106617343,
            -0.0116344672,
            -0.0126072001,
            -0.013579933,
            -0.0143458638,
            -0.0150754135,
            -0.0158049632,
            -0.0165345129,
            -0.0172640625,
            -0.0179936122,
            -0.0187231619,
            -0.0194527116,
            -0.0201822612,
            -0.0209118109,
            -0.0216413587,
            -0.0223709084,
            -0.0231004581,
            -0.0238300078,
            -0.0245595574,
            -0.0252891071,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.025742922,
            -0.0264724717,
            -0.0272020213,
            -0.027931571,
            -0.0286611207,
            -0.0293906704,
            -0.03012022,
            -0.0308497697,
            -0.0315793194,
            -0.0323088691,
            -0.0330384187,
            -0.0337679684,
            -0.0344975181,
            -0.0352270678,
            -0.0359566174,
            -0.0366861671,
            -0.0370940231,
            -0.0363644734,
            -0.0356349237,
            -0.0349053741,
            -0.0341758244,
            -0.0334462747,
            -0.0327167287,
            -0.0319871753,
            -0.0312576294,
            -0.0305280779,
            -0.0297985282,
            -0.0290689785,
            -0.0283394288,
            -0.027609881,
            -0.0268803313,
            -0.0261507817,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0247835927,
            -0.024054043,
            -0.0233244933,
            -0.0225949436,
            -0.021865394,
            -0.0211358443,
            -0.0204062946,
            -0.0196767449,
            -0.0189471953,
            -0.0182176474,
            -0.0174880959,
            -0.0167585481,
            -0.0160289984,
            -0.0152994487,
            -0.0145698991,
            -0.0138403494,
            -0.0129059134,
            -0.0119331805,
            -0.0109604476,
            -0.0099877147,
            -0.0090149818,
            -0.0080422489,
            -0.00706951646,
            -0.00609678356,
            -0.00512405112,
            -0.00415131822,
            -0.00317858532,
            -0.00220585242,
            -0.00123311952,
            -0.000260386616,
            0.000712346286,
            0.00168507919,
            0.0024835621,
            0.00321311178,
            0.00394266099,
            0.00467221066,
            0.00540176034,
            0.00613131002,
            0.00686085969,
            0.00759040937,
            0.00831995904,
            0.00904950872,
            0.0097790584,
            0.0105086081,
            0.0112381568,
            0.0119677065,
            0.0126972562,
            0.0134268058,
            0.0141563555,
            0.0148859052,
            0.0156154549,
            0.0163450036,
            0.0170745533,
            0.017804103,
            0.0185336526,
            0.0192632023,
            0.019992752,
            0.0207223017,
            0.0214518514,
            0.022181401,
            0.0229109507,
            0.0236405004,
            0.0243700501,
            0.0250995997,
            0.0258291494,
            0.0265586991,
            0.0272882488,
            0.0280177984,
            0.0287473481,
            0.0294768959,
            0.0302064456,
            0.0309359953,
            0.031665545,
            0.0323950946,
            0.0331246443,
            0.033854194,
            0.0345837437,
            0.0353132933,
            0.036042843,
            0.0367723927,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.037410032,
            0.0381395817,
            0.0388691314,
            0.039598681,
            0.0403282307,
            0.0410577804,
            0.0417873263,
            0.0425168797,
            0.0432464257,
            0.0439759754,
            0.044705525,
            0.0454350784,
            0.0461646244,
            0.0468941741,
            0.0476237237,
            0.0483532734,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0506548993,
            0.0523571819,
            0.0540594608,
            0.0557617471,
            0.0574640259,
            0.0591663122,
            0.0608685911,
            0.0625708774,
            0.0642731562,
            0.0659754425,
            0.0676777214,
            0.0693800002,
            0.0710822865,
            0.0727845728,
            0.0744868517,
            0.0761891305,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0760263726,
            0.0750536397,
            0.0740809068,
            0.0731081739,
            0.072135441,
            0.0711627081,
            0.0701899752,
            0.0692172423,
            0.0682445094,
            0.0672717765,
            0.0662990436,
            0.0653263107,
            0.0643535778,
            0.0633808449,
            0.062408112,
            0.0614353828,
            0.0611060299,
            0.0620787628,
            0.0630514994,
            0.0640242323,
            0.0649969652,
            0.0659696981,
            0.066942431,
            0.0679151639,
            0.0688878894,
            0.0698606223,
            0.0708333552,
            0.0718060881,
            0.072778821,
            0.0737515539,
            0.0747242868,
            0.0756970197,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0763940215,
            0.0754212886,
            0.0744485557,
            0.0734758228,
            0.0725030899,
            0.071530357,
            0.0705576241,
            0.0695848912,
            0.0686121583,
            0.0676394254,
            0.0666666925,
            0.0656939596,
            0.0647212267,
            0.0637484938,
            0.0627757609,
            0.061803028,
            0.0608302951,
            0.0600892566,
            0.0593597069,
            0.0586301573,
            0.0579006076,
            0.0571710579,
            0.0564415082,
            0.0557119586,
            0.0549824089,
            0.0542528592,
            0.0535233095,
            0.0527937636,
            0.0520642102,
            0.0513346642,
            0.0506051108,
            0.0498755649,
            0.0491460115,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0495308936,
            0.0502604432,
            0.0509899929,
            0.0517195426,
            0.0524490923,
            0.0531786419,
            0.0539081916,
            0.0546377413,
            0.055367291,
            0.0560968406,
            0.0568263903,
            0.05755594,
            0.0582854897,
            0.0590150394,
            0.059744589,
            0.0604741387,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0612209216,
            0.0621936545,
            0.0631663874,
            0.0641391203,
            0.0651118532,
            0.0660845861,
            0.067057319,
            0.0680300519,
            0.0690027848,
            0.0699755177,
            0.0709482506,
            0.0719209835,
            0.0728937164,
            0.0738664493,
            0.0748391822,
            0.0758119151,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.075551495,
            0.0745787621,
            0.0736060292,
            0.0726332963,
            0.0716605633,
            0.0706878304,
            0.0697150975,
            0.0687423646,
            0.0677696317,
            0.0667968988,
            0.0658241659,
            0.064851433,
            0.0638787001,
            0.0629059672,
            0.0619332381,
            0.0609605052,
            0.0601869151,
            0.0594573654,
            0.0587278157,
            0.0579982661,
            0.0572687164,
            0.0565391667,
            0.055809617,
            0.0550800674,
            0.0543505177,
            0.053620968,
            0.0528914183,
            0.0521618687,
            0.051432319,
            0.0507027693,
            0.0499732196,
            0.04924367,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0492494144,
            0.049978964,
            0.0507085137,
            0.0514380634,
            0.0521676131,
            0.0528971627,
            0.0536267124,
            0.0543562621,
            0.0550858118,
            0.0558153614,
            0.0565449111,
            0.0572744608,
            0.0580040105,
            0.0587335601,
            0.0594631061,
            0.0601926595,
            0.0606464706,
            0.059916921,
            0.059187375,
            0.0584578216,
            0.0577282757,
            0.056998726,
            0.0562691763,
            0.0555396266,
            0.054810077,
            0.0540805273,
            0.0533509776,
            0.0526214279,
            0.0518918782,
            0.0511623286,
            0.0504327789,
            0.0497032292,
            0.0489736795,
            0.0482441299,
            0.0475145802,
            0.0467850305,
            0.0460554808,
            0.0453259312,
            0.0445963815,
            0.0438668318,
            0.0431372821,
            0.0424077325,
            0.0416781828,
            0.0409486331,
            0.0402190834,
            0.0394895338,
            0.0387599841,
            0.0380304344,
            0.0373008847,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0375708751,
            0.0383004248,
            0.0390299745,
            0.0397595242,
            0.0404890738,
            0.0412186235,
            0.0419481732,
            0.0426777229,
            0.0434072725,
            0.0441368222,
            0.0448663719,
            0.0455959216,
            0.0463254713,
            0.0470550209,
            0.0477845706,
            0.0485141203,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0491517596,
            0.0498813093,
            0.0506108552,
            0.0513404086,
            0.0520699546,
            0.0527995043,
            0.0535290539,
            0.0542586036,
            0.0549881533,
            0.055717703,
            0.0564472526,
            0.0571768023,
            0.057906352,
            0.0586359017,
            0.0593654513,
            0.060095001,
            0.0608379543,
            0.0618106872,
            0.0627834201,
            0.063756153,
            0.0647288859,
            0.0657016188,
            0.0666743517,
            0.0676470846,
            0.0686198175,
            0.0695925504,
            0.0705652833,
            0.0715380162,
            0.0725107491,
            0.073483482,
            0.0744562149,
            0.0754289478,
            0.0764016807,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0756893605,
            0.0747166276,
            0.0737438947,
            0.0727711618,
            0.0717984289,
            0.070825696,
            0.0698529631,
            0.0688802302,
            0.0679074973,
            0.0669347644,
            0.0659620315,
            0.064989306,
            0.0640165731,
            0.0630438402,
            0.0620711036,
            0.0610983707,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0603822246,
            0.0596526749,
            0.0589231253,
            0.0581935756,
            0.0574640259,
            0.05673448,
            0.0560049266,
            0.0552753806,
            0.0545458272,
            0.0538162813,
            0.0530867316,
            0.0523571819,
            0.0516276322,
            0.0508980826,
            0.0501685329,
            0.0494389832,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0492379256,
            0.0499674752,
            0.0506970249,
            0.0514265746,
            0.0521561243,
            0.0528856739,
            0.0536152236,
            0.0543447733,
            0.055074323,
            0.0558038726,
            0.0565334223,
            0.057262972,
            0.0579925179,
            0.0587220713,
            0.0594516173,
            0.0601811707,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607498735,
            0.0600203238,
            0.0592907742,
            0.0585612245,
            0.0578316748,
            0.0571021251,
            0.0563725755,
            0.0556430258,
            0.0549134761,
            0.0541839264,
            0.0534543768,
            0.0527248271,
            0.0519952774,
            0.0512657277,
            0.0505361781,
            0.0498066284,
            0.0490770787,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0484394431,
            0.0477098934,
            0.0469803438,
            0.0462507941,
            0.0455212444,
            0.0447916947,
            0.0440621451,
            0.0433325954,
            0.0426030457,
            0.041873496,
            0.0411439463,
            0.0404143967,
            0.039684847,
            0.0389552973,
            0.0382257476,
            0.037496198,
            0.0377432108,
            0.0384727605,
            0.0392023101,
            0.0399318598,
            0.0406614095,
            0.0413909592,
            0.0421205088,
            0.0428500585,
            0.0435796082,
            0.0443091579,
            0.0450387076,
            0.0457682572,
            0.0464978069,
            0.0472273566,
            0.0479569063,
            0.0486864559,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490483567,
            0.0497779064,
            0.0505074561,
            0.0512370057,
            0.0519665554,
            0.0526961051,
            0.0534256548,
            0.0541552044,
            0.0548847541,
            0.0556143038,
            0.0563438535,
            0.0570734031,
            0.0578029528,
            0.0585325025,
            0.0592620522,
            0.0599916019,
            0.0607211515,
            0.0616728216,
            0.0626455545,
            0.0636182874,
            0.0645910203,
            0.0655637532,
            0.0665364861,
            0.0675092191,
            0.068481952,
            0.0694546849,
            0.0704274178,
            0.0714001507,
            0.0723728836,
            0.0733456165,
            0.0743183494,
            0.0752910823,
            0.0762638152,
            0.0770450607,
            0.0777746141,
            0.07850416,
            0.0792337134,
            0.0799632594,
            0.0806928128,
            0.0814223588,
            0.0821519122,
            0.0828814581,
            0.0836110115,
            0.0843405575,
            0.0850701034,
            0.0857996568,
            0.0865292102,
            0.0872587562,
            0.0879883021,
            0.0887178555,
            0.0894474015,
            0.0901769549,
            0.0909065008,
            0.0916360542,
            0.0923656002,
            0.0930951536,
            0.0938246995,
            0.0945542529,
            0.0952837989,
            0.0960133523,
            0.0967428982,
            0.0974724516,
            0.0982019976,
            0.098931551,
            0.0996610969,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0997932255,
            0.0990636721,
            0.0983341262,
            0.0976045728,
            0.0968750268,
            0.0961454734,
            0.0954159275,
            0.0946863741,
            0.0939568281,
            0.0932272747,
            0.0924977288,
            0.0917681754,
            0.0910386294,
            0.090309076,
            0.0895795301,
            0.0888499767,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882582963,
            0.0889878497,
            0.0897173956,
            0.090446949,
            0.091176495,
            0.0919060409,
            0.0926355943,
            0.0933651403,
            0.0940946937,
            0.0948242396,
            0.095553793,
            0.096283339,
            0.0970128924,
            0.0977424383,
            0.0984719917,
            0.0992015377,
            0.0999310911,
            0.100660637,
            0.10139019,
            0.102119736,
            0.10284929,
            0.103578836,
            0.104308389,
            0.105037935,
            0.105767488,
            0.106497034,
            0.107226588,
            0.107956134,
            0.108685687,
            0.109415233,
            0.110144787,
            0.110874332,
            0.111603886,
            0.112333432,
            0.113062985,
            0.113792531,
            0.114522085,
            0.115251631,
            0.115981184,
            0.11671073,
            0.117440283,
            0.118169829,
            0.118899383,
            0.119628929,
            0.120358482,
            0.121088028,
            0.121817574,
            0.122547127,
            0.123276681,
            0.124165155,
            0.125137895,
            0.126110628,
            0.127083361,
            0.128056094,
            0.129028827,
            0.13000156,
            0.130974293,
            0.131947026,
            0.132919759,
            0.133892491,
            0.134865224,
            0.135837957,
            0.13681069,
            0.137783423,
            0.138756156,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.13950868,
            0.140238225,
            0.140967771,
            0.141697332,
            0.142426878,
            0.143156424,
            0.14388597,
            0.144615531,
            0.145345077,
            0.146074623,
            0.146804169,
            0.147533715,
            0.148263276,
            0.148992822,
            0.149722368,
            0.150451913,
            0.151181474,
            0.15191102,
            0.152640581,
            0.153370127,
            0.154099688,
            0.154829234,
            0.155558795,
            0.156288341,
            0.157017902,
            0.157747447,
            0.158477008,
            0.159206554,
            0.159936115,
            0.160665661,
            0.161395222,
            0.162124768,
            0.162636027,
            0.161906481,
            0.16117692,
            0.160447374,
            0.159717813,
            0.158988267,
            0.158258706,
            0.15752916,
            0.1567996,
            0.156070054,
            0.155340493,
            0.154610947,
            0.153881386,
            0.15315184,
            0.152422279,
            0.151692733,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150325537,
            0.149595991,
            0.148866445,
            0.148136899,
            0.147407338,
            0.146677792,
            0.145948246,
            0.1452187,
            0.144489139,
            0.143759593,
            0.143030047,
            0.142300501,
            0.141570941,
            0.140841395,
            0.140111849,
            0.139382303,
            0.137339175,
            0.13490735,
            0.13247551,
            0.130043685,
            0.127611846,
            0.125180021,
            0.122748181,
            0.120316356,
            0.117884517,
            0.115452692,
            0.113020852,
            0.110589027,
            0.108157195,
            0.105725363,
            0.103293523,
            0.100861698,
            0.0990579277,
            0.0975988284,
            0.096139729,
            0.0946806297,
            0.0932215303,
            0.091762431,
            0.0903033316,
            0.0888442323,
            0.0873851329,
            0.0859260336,
            0.0844669342,
            0.0830078349,
            0.0815487355,
            0.0800896436,
            0.0786305368,
            0.0771714449,
            0.0755859613,
            0.0738836825,
            0.0721813962,
            0.0704791173,
            0.068776831,
            0.0670745522,
            0.0653722659,
            0.063669987,
            0.0619677044,
            0.0602654219,
            0.0585631393,
            0.0568608567,
            0.0551585741,
            0.0534562916,
            0.051754009,
            0.0500517264,
            0.0487324111,
            0.0480028614,
            0.0472733118,
            0.0465437621,
            0.0458142124,
            0.0450846627,
            0.0443551131,
            0.0436255634,
            0.0428960137,
            0.042166464,
            0.0414369144,
            0.0407073647,
            0.039977815,
            0.0392482653,
            0.0385187156,
            0.037789166,
            0.0368643031,
            0.0354052037,
            0.0339461043,
            0.032487005,
            0.0310279075,
            0.0295688082,
            0.0281097107,
            0.0266506113,
            0.025191512,
            0.0237324126,
            0.0222733133,
            0.0208142139,
            0.0193551145,
            0.0178960152,
            0.0164369158,
            0.0149778165,
            0.0136221182,
            0.0128925685,
            0.0121630188,
            0.0114334691,
            0.0107039204,
            0.00997437071,
            0.00924482103,
            0.00851527136,
            0.00778572168,
            0.00705617201,
            0.00632662233,
            0.00559707265,
            0.00486752298,
            0.00413797423,
            0.00340842456,
            0.00267887488,
            0.00194549537,
            0.000972762587,
            2.98023224e-8,
            -0.000972703099,
            -0.00194543577,
            -0.00291816844,
            -0.00389090134,
            -0.00486363424,
            -0.00583636668,
            -0.00680909958,
            -0.00778183248,
            -0.00875456538,
            -0.00972729828,
            -0.0107000312,
            -0.0116727632,
            -0.0126454961,
            -0.013618229,
            -0.0143745868,
            -0.0151041355,
            -0.0158336852,
            -0.0165632349,
            -0.0172927845,
            -0.0180223342,
            -0.0187518839,
            -0.0194814336,
            -0.0202109832,
            -0.0209405329,
            -0.0216700826,
            -0.0223996323,
            -0.0231291801,
            -0.0238587297,
            -0.0245882794,
            -0.0253178291,
            -0.0260473806,
            -0.0267769285,
            -0.0275064781,
            -0.0282360278,
            -0.0289655775,
            -0.0296951272,
            -0.0304246768,
            -0.0311542265,
            -0.0318837762,
            -0.0326133259,
            -0.0333428755,
            -0.0340724252,
            -0.0348019749,
            -0.0355315246,
            -0.0362610742,
            -0.0369906239,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0368814766,
            -0.0361519307,
            -0.035422381,
            -0.0346928313,
            -0.0339632817,
            -0.033233732,
            -0.0325041823,
            -0.0317746326,
            -0.0310450811,
            -0.0303155333,
            -0.0295859836,
            -0.0288564339,
            -0.0281268843,
            -0.0273973346,
            -0.0266677849,
            -0.0259382352,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0253925081,
            -0.0246629585,
            -0.0239334088,
            -0.0232038591,
            -0.0224743094,
            -0.0217447616,
            -0.0210152119,
            -0.0202856623,
            -0.0195561126,
            -0.0188265629,
            -0.0180970132,
            -0.0173674636,
            -0.0166379139,
            -0.0159083642,
            -0.0151788145,
            -0.0144492649,
            -0.0137178004,
            -0.0127450675,
            -0.0117723346,
            -0.0107996017,
            -0.00982686877,
            -0.00885413587,
            -0.00788140297,
            -0.006908671,
            -0.0059359381,
            -0.0049632052,
            -0.00399047229,
            -0.00301773939,
            -0.00204500649,
            -0.00107227452,
            -9.95416194e-5,
            0.000873191282,
            0.00184592418,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00251228455,
            0.00324183423,
            0.00397138391,
            0.00470093358,
            0.00543048279,
            0.00616003247,
            0.00688958215,
            0.00761913182,
            0.00834868103,
            0.00907823071,
            0.00980778039,
            0.0105373301,
            0.0112668797,
            0.0119964294,
            0.0127259791,
            0.0134555288,
            0.0132659599,
            0.0125364112,
            0.0118068615,
            0.0110773118,
            0.0103477621,
            0.00961821247,
            0.00888866279,
            0.00815911312,
            0.00742956344,
            0.00670001423,
            0.00597046455,
            0.00524091534,
            0.00451136567,
            0.00378181599,
            0.00305226631,
            0.00232271664,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00205272576,
            0.00278227543,
            0.00351182488,
            0.00424137432,
            0.004970924,
            0.00570047367,
            0.00643002335,
            0.00715957303,
            0.0078891227,
            0.00861867145,
            0.00934822112,
            0.0100777708,
            0.0108073205,
            0.0115368702,
            0.0122664198,
            0.0129959695
          ],
          [
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0368011147,
            0.036071565,
            0.0353420153,
            0.0346124656,
            0.033882916,
            0.0331533663,
            0.0324238166,
            0.0316942669,
            0.0309647191,
            0.0302351695,
            0.0295056198,
            0.0287760701,
            0.0280465204,
            0.0273169708,
            0.0265874211,
            0.0258578714,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0255763922,
            0.0263059419,
            0.0270354915,
            0.0277650394,
            0.028494589,
            0.0292241387,
            0.0299536884,
            0.0306832381,
            0.0314127877,
            0.0321423374,
            0.0328718871,
            0.0336014368,
            0.0343309864,
            0.0350605361,
            0.0357900858,
            0.0365196355,
            0.0372491851,
            0.0379787348,
            0.0387082845,
            0.0394378342,
            0.0401673838,
            0.0408969335,
            0.0416264832,
            0.0423560329,
            0.0430855826,
            0.0438151322,
            0.0445446819,
            0.0452742316,
            0.0460037813,
            0.0467333309,
            0.0474628806,
            0.0481924266,
            0.04892198,
            0.0496515296,
            0.0503810793,
            0.0511106253,
            0.0518401787,
            0.0525697246,
            0.053299278,
            0.054028824,
            0.0547583736,
            0.0554879233,
            0.056217473,
            0.0569470227,
            0.0576765724,
            0.058406122,
            0.0591356717,
            0.0598652214,
            0.0605947711,
            0.0615043156,
            0.0624770485,
            0.0634497777,
            0.0644225106,
            0.0653952435,
            0.0663679764,
            0.0673407093,
            0.0683134422,
            0.0692861751,
            0.070258908,
            0.0712316409,
            0.0722043738,
            0.0731771067,
            0.0741498396,
            0.0751225725,
            0.0760953054,
            0.0769186839,
            0.0776482299,
            0.0783777833,
            0.0791073292,
            0.0798368827,
            0.0805664286,
            0.081295982,
            0.082025528,
            0.0827550814,
            0.0834846273,
            0.0842141807,
            0.0849437267,
            0.0856732801,
            0.086402826,
            0.0871323794,
            0.0878619254,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0884995684,
            0.0892291144,
            0.0899586678,
            0.0906882137,
            0.0914177597,
            0.0921473131,
            0.0928768665,
            0.0936064124,
            0.0943359584,
            0.0950655118,
            0.0957950577,
            0.0965246111,
            0.0972541571,
            0.0979837105,
            0.0987132564,
            0.0994428098,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0995576978,
            0.0988281518,
            0.0980985984,
            0.0973690525,
            0.0966394991,
            0.0959099531,
            0.0951803997,
            0.0944508538,
            0.0937213004,
            0.0929917544,
            0.092262201,
            0.0915326551,
            0.0908031017,
            0.0900735557,
            0.0893440023,
            0.0886144564,
            0.0874176845,
            0.0857154056,
            0.0840131193,
            0.0823108405,
            0.0806085542,
            0.0789062753,
            0.077203989,
            0.0755017102,
            0.0737994313,
            0.072097145,
            0.0703948587,
            0.0686925799,
            0.066990301,
            0.0652880147,
            0.0635857359,
            0.0618834496,
            0.0602673367,
            0.0588082373,
            0.057349138,
            0.0558900386,
            0.0544309393,
            0.0529718399,
            0.0515127406,
            0.0500536412,
            0.0485945418,
            0.0471354425,
            0.0456763431,
            0.0442172438,
            0.0427581444,
            0.0412990451,
            0.0398399457,
            0.0383808464,
            0.0370883383,
            0.0363587886,
            0.0356292389,
            0.0348996893,
            0.0341701396,
            0.0334405899,
            0.032711044,
            0.0319814906,
            0.0312519446,
            0.0305223931,
            0.0297928434,
            0.0290632937,
            0.028333744,
            0.0276041944,
            0.0268746465,
            0.0261450969,
            0.0254155453,
            0.0246859957,
            0.0239564478,
            0.0232268982,
            0.0224973485,
            0.0217677988,
            0.0210382491,
            0.0203086995,
            0.0195791498,
            0.0188496001,
            0.0181200504,
            0.0173905008,
            0.0166609511,
            0.0159314014,
            0.0152018517,
            0.014472302,
            0.0137427524,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0131051149,
            0.0123755652,
            0.0116460156,
            0.0109164659,
            0.0101869162,
            0.00945736654,
            0.00872781686,
            0.00799826719,
            0.00726871798,
            0.0065391683,
            0.00580961909,
            0.00508006942,
            0.00435051974,
            0.00362097006,
            0.00289142039,
            0.00216187071,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00137870619,
            0.000405973406,
            -0.00056675938,
            -0.00153949205,
            -0.00251222495,
            -0.00348495785,
            -0.00445769075,
            -0.00543042319,
            -0.00640315562,
            -0.00737588853,
            -0.00834862143,
            -0.00932135433,
            -0.0102940872,
            -0.0112668201,
            -0.012239553,
            -0.0132122859,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0135109983,
            -0.0125382664,
            -0.0115655335,
            -0.0105928006,
            -0.00962006766,
            -0.00864733476,
            -0.00767460186,
            -0.00670186942,
            -0.00572913699,
            -0.00475640409,
            -0.00378367119,
            -0.00281093828,
            -0.00183820538,
            -0.000865472481,
            0.000107260421,
            0.00107999332,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00257547386,
            0.00330502354,
            0.00403457321,
            0.00476412289,
            0.00549367256,
            0.00622322178,
            0.00695277145,
            0.00768232113,
            0.00841187127,
            0.00914142001,
            0.00987096969,
            0.0106005194,
            0.011330069,
            0.0120596187,
            0.0127891684,
            0.0135187181,
            0.0142482668,
            0.0149778165,
            0.0157073662,
            0.0164369158,
            0.0171664655,
            0.0178960152,
            0.0186255649,
            0.0193551145,
            0.0200846642,
            0.0208142139,
            0.0215437636,
            0.0222733133,
            0.0230028629,
            0.0237324126,
            0.0244619623,
            0.025191512,
            0.0259210616,
            0.0266506113,
            0.0273801591,
            0.0281097088,
            0.0288392585,
            0.0295688082,
            0.0302983578,
            0.0310279075,
            0.031757459,
            0.032487005,
            0.0332165584,
            0.0339461043,
            0.0346756577,
            0.0354052037,
            0.0361347571,
            0.0368643031,
            0.0375938527,
            0.0383234024,
            0.0390529521,
            0.0397825018,
            0.0405120514,
            0.0412416011,
            0.0419711508,
            0.0427007005,
            0.0434302501,
            0.0441597998,
            0.0448893495,
            0.0456188992,
            0.0463484488,
            0.0470779985,
            0.0478075482,
            0.0485370979,
            0.0492666475,
            0.0499961972,
            0.0507257469,
            0.0514552966,
            0.0521848463,
            0.0529143959,
            0.0536439456,
            0.0543734953,
            0.055103045,
            0.0558325946,
            0.0565621443,
            0.057291694,
            0.0580212437,
            0.0587507933,
            0.059480343,
            0.0602098927,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.060359247,
            0.0596296974,
            0.0589001477,
            0.058170598,
            0.0574410483,
            0.0567114986,
            0.055981949,
            0.0552523993,
            0.0545228496,
            0.0537933037,
            0.0530637503,
            0.0523342043,
            0.0516046509,
            0.050875105,
            0.0501455516,
            0.0494160056,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0492609031,
            0.0499904528,
            0.0507200025,
            0.0514495522,
            0.0521791019,
            0.0529086515,
            0.0536382012,
            0.0543677509,
            0.0550973006,
            0.0558268502,
            0.0565563999,
            0.0572859496,
            0.0580154993,
            0.0587450489,
            0.0594745986,
            0.0602041483,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607268959,
            0.0599973463,
            0.0592677966,
            0.0585382469,
            0.0578086972,
            0.0570791475,
            0.0563495979,
            0.0556200482,
            0.0548904985,
            0.0541609488,
            0.0534313992,
            0.0527018495,
            0.0519722998,
            0.0512427501,
            0.0505132005,
            0.0497836508,
            0.0490541011,
            0.0483245514,
            0.0475950018,
            0.0468654521,
            0.0461359024,
            0.0454063527,
            0.0446768031,
            0.0439472534,
            0.0432177037,
            0.042488154,
            0.0417586043,
            0.0410290584,
            0.040299505,
            0.039569959,
            0.0388404056,
            0.0381108597,
            0.0373813063,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0375823639,
            0.0383119136,
            0.0390414633,
            0.039771013,
            0.0405005626,
            0.0412301123,
            0.041959662,
            0.0426892117,
            0.0434187613,
            0.044148311,
            0.0448778607,
            0.0456074104,
            0.04633696,
            0.0470665097,
            0.0477960594,
            0.0485256091,
            0.0492551588,
            0.0499847084,
            0.0507142581,
            0.0514438078,
            0.0521733575,
            0.0529029071,
            0.0536324568,
            0.0543620065,
            0.0550915562,
            0.0558211058,
            0.0565506555,
            0.0572802052,
            0.0580097549,
            0.0587393045,
            0.0594688542,
            0.0601984039,
            0.0609758236,
            0.0619485565,
            0.0629212856,
            0.0638940185,
            0.0648667514,
            0.0658394843,
            0.0668122172,
            0.0677849501,
            0.068757683,
            0.0697304159,
            0.0707031488,
            0.0716758817,
            0.0726486146,
            0.0736213475,
            0.0745940804,
            0.0755668133,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.075551495,
            0.0745787621,
            0.0736060292,
            0.0726332963,
            0.0716605633,
            0.0706878304,
            0.0697150975,
            0.0687423646,
            0.0677696317,
            0.0667968988,
            0.0658241659,
            0.064851433,
            0.0638787001,
            0.0629059672,
            0.0619332381,
            0.0609605052,
            0.0595894866,
            0.0581303872,
            0.0566712879,
            0.0552121885,
            0.0537530892,
            0.0522939898,
            0.0508348942,
            0.0493757948,
            0.0479166955,
            0.0464575961,
            0.0449984968,
            0.0435393974,
            0.0420802981,
            0.0406211987,
            0.0391620994,
            0.037703,
            0.0367494151,
            0.0360198654,
            0.0352903157,
            0.0345607661,
            0.0338312164,
            0.0331016667,
            0.032372117,
            0.0316425674,
            0.0309130177,
            0.030183468,
            0.0294539183,
            0.0287243687,
            0.027994819,
            0.0272652693,
            0.0265357196,
            0.02580617,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.025720004,
            0.0264495537,
            0.0271791033,
            0.027908653,
            0.0286382027,
            0.0293677524,
            0.030097302,
            0.0308268517,
            0.0315564014,
            0.0322859511,
            0.0330155008,
            0.0337450504,
            0.0344746001,
            0.0352041498,
            0.0359336957,
            0.0366632491,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372089744,
            0.0364794247,
            0.035749875,
            0.0350203253,
            0.0342907757,
            0.033561226,
            0.0328316763,
            0.0321021266,
            0.031372577,
            0.0306430273,
            0.0299134776,
            0.0291839279,
            0.0284543782,
            0.0277248286,
            0.0269952789,
            0.0262657292,
            0.0255361795,
            0.0248066299,
            0.0240770802,
            0.0233475305,
            0.0226179808,
            0.021888433,
            0.0211588833,
            0.0204293337,
            0.019699784,
            0.0189702343,
            0.0182406846,
            0.017511135,
            0.0167815853,
            0.0160520356,
            0.0153224859,
            0.0145929363,
            0.0138633866,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0141333779,
            0.0148629267,
            0.0155924764,
            0.016322026,
            0.0170515757,
            0.0177811254,
            0.0185106751,
            0.0192402247,
            0.0199697744,
            0.0206993241,
            0.0214288738,
            0.0221584234,
            0.0228879731,
            0.0236175209,
            0.0243470706,
            0.0250766203,
            0.0258061718,
            0.0265357196,
            0.0272652693,
            0.027994819,
            0.0287243687,
            0.0294539183,
            0.030183468,
            0.0309130177,
            0.0316425674,
            0.032372117,
            0.0331016667,
            0.0338312164,
            0.0345607661,
            0.0352903157,
            0.0360198654,
            0.0367494151,
            0.0374789648,
            0.0382085145,
            0.0389380641,
            0.0396676138,
            0.0403971635,
            0.0411267132,
            0.0418562628,
            0.0425858125,
            0.0433153622,
            0.0440449119,
            0.0447744615,
            0.0455040112,
            0.0462335609,
            0.0469631106,
            0.0476926565,
            0.0484222099,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0493298359,
            0.0500593856,
            0.0507889353,
            0.051518485,
            0.0522480346,
            0.0529775843,
            0.053707134,
            0.0544366837,
            0.0551662333,
            0.055895783,
            0.0566253327,
            0.0573548824,
            0.058084432,
            0.0588139817,
            0.0595435314,
            0.0602730811,
            0.0610753931,
            0.062048126,
            0.0630208626,
            0.0639935955,
            0.064966321,
            0.0659390539,
            0.0669117868,
            0.0678845197,
            0.0688572526,
            0.0698299855,
            0.0708027184,
            0.0717754513,
            0.0727481842,
            0.0737209171,
            0.07469365,
            0.0756663829,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764246583,
            0.0754519254,
            0.0744791925,
            0.0735064596,
            0.0725337267,
            0.0715609938,
            0.0705882609,
            0.069615528,
            0.0686427951,
            0.0676700622,
            0.0666973293,
            0.0657245964,
            0.0647518635,
            0.0637791306,
            0.0628063977,
            0.0618336648,
            0.0608609319,
            0.0601122342,
            0.0593826845,
            0.0586531349,
            0.0579235852,
            0.0571940355,
            0.0564644858,
            0.0557349361,
            0.0550053865,
            0.0542758405,
            0.0535462871,
            0.0528167412,
            0.0520871878,
            0.0513576418,
            0.0506280884,
            0.0498985425,
            0.0491689891,
            0.0484394431,
            0.0477098934,
            0.0469803438,
            0.0462507941,
            0.0455212444,
            0.0447916947,
            0.0440621451,
            0.0433325954,
            0.0426030457,
            0.041873496,
            0.0411439463,
            0.0404143967,
            0.039684847,
            0.0389552973,
            0.0382257476,
            0.037496198,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0375593863,
            0.038288936,
            0.0390184857,
            0.0397480354,
            0.040477585,
            0.0412071347,
            0.0419366844,
            0.0426662341,
            0.0433957838,
            0.0441253334,
            0.0448548831,
            0.0455844328,
            0.0463139825,
            0.0470435321,
            0.0477730818,
            0.0485026315,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490483567,
            0.0497779064,
            0.0505074561,
            0.0512370057,
            0.0519665554,
            0.0526961051,
            0.0534256548,
            0.0541552044,
            0.0548847541,
            0.0556143038,
            0.0563438535,
            0.0570734031,
            0.0578029528,
            0.0585325025,
            0.0592620522,
            0.0599916019,
            0.0607211515,
            0.0616728216,
            0.0626455545,
            0.0636182874,
            0.0645910203,
            0.0655637532,
            0.0665364861,
            0.0675092191,
            0.068481952,
            0.0694546849,
            0.0704274178,
            0.0714001507,
            0.0723728836,
            0.0733456165,
            0.0743183494,
            0.0752910823,
            0.0762638152,
            0.0770450607,
            0.0777746141,
            0.07850416,
            0.0792337134,
            0.0799632594,
            0.0806928128,
            0.0814223588,
            0.0821519122,
            0.0828814581,
            0.0836110115,
            0.0843405575,
            0.0850701034,
            0.0857996568,
            0.0865292102,
            0.0872587562,
            0.0879883021,
            0.0887178555,
            0.0894474015,
            0.0901769549,
            0.0909065008,
            0.0916360542,
            0.0923656002,
            0.0930951536,
            0.0938246995,
            0.0945542529,
            0.0952837989,
            0.0960133523,
            0.0967428982,
            0.0974724516,
            0.0982019976,
            0.098931551,
            0.0996610969,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100660637,
            0.10139019,
            0.102119736,
            0.10284929,
            0.103578836,
            0.104308389,
            0.105037935,
            0.105767488,
            0.106497034,
            0.107226588,
            0.107956134,
            0.108685687,
            0.109415233,
            0.110144787,
            0.110874332,
            0.111603886,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.112241521,
            0.112971067,
            0.113700621,
            0.114430167,
            0.11515972,
            0.115889266,
            0.11661882,
            0.117348365,
            0.118077919,
            0.118807465,
            0.119537018,
            0.120266564,
            0.120996118,
            0.121725664,
            0.122455217,
            0.123184763,
            0.124042608,
            0.125015348,
            0.125988066,
            0.126960814,
            0.127933532,
            0.12890628,
            0.129878998,
            0.130851731,
            0.131824464,
            0.132797197,
            0.133769929,
            0.134742662,
            0.135715395,
            0.136688128,
            0.137660861,
            0.138633594,
            0.13950868,
            0.140238225,
            0.140967771,
            0.141697332,
            0.142426878,
            0.143156424,
            0.14388597,
            0.144615531,
            0.145345077,
            0.146074623,
            0.146804169,
            0.147533715,
            0.148263276,
            0.148992822,
            0.149722368,
            0.150451913,
            0.151181474,
            0.15191102,
            0.152640581,
            0.153370127,
            0.154099688,
            0.154829234,
            0.155558795,
            0.156288341,
            0.157017902,
            0.157747447,
            0.158477008,
            0.159206554,
            0.159936115,
            0.160665661,
            0.161395222,
            0.162124768,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162727937,
            0.161998391,
            0.16126883,
            0.160539284,
            0.159809738,
            0.159080178,
            0.158350632,
            0.157621071,
            0.156891525,
            0.156161964,
            0.155432418,
            0.154702857,
            0.153973311,
            0.15324375,
            0.152514204,
            0.151784644,
            0.151055098,
            0.150325537,
            0.149595991,
            0.148866445,
            0.148136899,
            0.147407338,
            0.146677792,
            0.145948246,
            0.1452187,
            0.144489139,
            0.143759593,
            0.143030047,
            0.142300501,
            0.141570941,
            0.140841395,
            0.140111849,
            0.139382303,
            0.137902141,
            0.136199847,
            0.134497568,
            0.132795289,
            0.13109301,
            0.129390717,
            0.127688438,
            0.125986159,
            0.12428388,
            0.122581594,
            0.120879307,
            0.119177029,
            0.11747475,
            0.115772463,
            0.114070185,
            0.112367898,
            0.110822633,
            0.109363534,
            0.107904434,
            0.106445335,
            0.104986235,
            0.103527136,
            0.102068037,
            0.100608937,
            0.0991498381,
            0.0976907387,
            0.0962316394,
            0.09477254,
            0.0933134407,
            0.0918543488,
            0.090395242,
            0.0889361501,
            0.0873506665,
            0.0856483877,
            0.0839461014,
            0.0822438225,
            0.0805415362,
            0.0788392574,
            0.0771369711,
            0.0754346922,
            0.0737324059,
            0.072030127,
            0.0703278482,
            0.0686255619,
            0.0669232756,
            0.0652209967,
            0.0635187179,
            0.0618164316,
            0.0602098927,
            0.0587507933,
            0.057291694,
            0.0558325946,
            0.0543734953,
            0.0529143959,
            0.0514552966,
            0.0499961972,
            0.0485370979,
            0.0470779985,
            0.0456188992,
            0.0441597998,
            0.0427007005,
            0.0412416011,
            0.0397825018,
            0.0383234024,
            0.0368643031,
            0.0354052037,
            0.0339461043,
            0.032487005,
            0.0310279075,
            0.0295688082,
            0.0281097107,
            0.0266506113,
            0.025191512,
            0.0237324126,
            0.0222733133,
            0.0208142139,
            0.0193551145,
            0.0178960152,
            0.0164369158,
            0.0149778165,
            0.0136221182,
            0.0128925685,
            0.0121630188,
            0.0114334691,
            0.0107039204,
            0.00997437071,
            0.00924482103,
            0.00851527136,
            0.00778572168,
            0.00705617201,
            0.00632662233,
            0.00559707265,
            0.00486752298,
            0.00413797423,
            0.00340842456,
            0.00267887488,
            0.00194549537,
            0.000972762587,
            2.98023224e-8,
            -0.000972703099,
            -0.00194543577,
            -0.00291816844,
            -0.00389090134,
            -0.00486363424,
            -0.00583636668,
            -0.00680909958,
            -0.00778183248,
            -0.00875456538,
            -0.00972729828,
            -0.0107000312,
            -0.0116727632,
            -0.0126454961,
            -0.013618229,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0142826745,
            -0.0150122242,
            -0.0157417729,
            -0.0164713226,
            -0.0172008723,
            -0.017930422,
            -0.0186599717,
            -0.0193895213,
            -0.020119071,
            -0.0208486207,
            -0.0215781704,
            -0.02230772,
            -0.0230372697,
            -0.0237668194,
            -0.0244963691,
            -0.0252259187,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0253925081,
            -0.0246629585,
            -0.0239334088,
            -0.0232038591,
            -0.0224743094,
            -0.0217447616,
            -0.0210152119,
            -0.0202856623,
            -0.0195561126,
            -0.0188265629,
            -0.0180970132,
            -0.0173674636,
            -0.0166379139,
            -0.0159083642,
            -0.0151788145,
            -0.0144492649,
            -0.0137178004,
            -0.0127450675,
            -0.0117723346,
            -0.0107996017,
            -0.00982686877,
            -0.00885413587,
            -0.00788140297,
            -0.006908671,
            -0.0059359381,
            -0.0049632052,
            -0.00399047229,
            -0.00301773939,
            -0.00204500649,
            -0.00107227452,
            -9.95416194e-5,
            0.000873191282,
            0.00184592418,
            0.00260419631,
            0.00333374599,
            0.0040632952,
            0.00479284488,
            0.00552239455,
            0.00625194423,
            0.00698149391,
            0.00771104358,
            0.00844059326,
            0.00917014293,
            0.00989969261,
            0.0106292414,
            0.011358791,
            0.0120883407,
            0.0128178904,
            0.0135474401,
            0.0142769897,
            0.0150065394,
            0.0157360882,
            0.0164656378,
            0.0171951875,
            0.0179247372,
            0.0186542869,
            0.0193838365,
            0.0201133862,
            0.0208429359,
            0.0215724856,
            0.0223020352,
            0.0230315849,
            0.0237611346,
            0.0244906843,
            0.0252202339,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0251225773,
            0.0243930276,
            0.023663478,
            0.0229339283,
            0.0222043786,
            0.0214748289,
            0.0207452793,
            0.0200157296,
            0.0192861818,
            0.0185566321,
            0.0178270824,
            0.0170975327,
            0.0163679831,
            0.0156384334,
            0.0149088828,
            0.0141793331,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0138174314,
            0.0145469802,
            0.0152765298,
            0.0160060804,
            0.0167356282,
            0.0174651779,
            0.0181947276,
            0.0189242773,
            0.019653827,
            0.0203833766,
            0.0211129263,
            0.021842476,
            0.0225720257,
            0.0233015753,
            0.024031125,
            0.0247606747
          ],
          [
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0378925689,
            0.0386221185,
            0.0393516682,
            0.0400812179,
            0.0408107638,
            0.0415403172,
            0.0422698632,
            0.0429994166,
            0.0437289625,
            0.0444585122,
            0.0451880619,
            0.0459176116,
            0.0466471612,
            0.0473767109,
            0.0481062606,
            0.0488358103,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0486577339,
            0.0479281843,
            0.0471986346,
            0.0464690849,
            0.0457395352,
            0.0450099856,
            0.0442804359,
            0.0435508862,
            0.0428213365,
            0.0420917869,
            0.0413622372,
            0.0406326875,
            0.0399031378,
            0.0391735882,
            0.0384440385,
            0.0377144888,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0374330096,
            0.0381625593,
            0.0388921089,
            0.0396216586,
            0.0403512083,
            0.041080758,
            0.0418103077,
            0.0425398573,
            0.0432694033,
            0.0439989567,
            0.0447285026,
            0.045458056,
            0.046187602,
            0.0469171554,
            0.0476467013,
            0.0483762547,
            0.0491058007,
            0.0498353504,
            0.0505649,
            0.0512944497,
            0.0520239994,
            0.0527535491,
            0.0534830987,
            0.0542126484,
            0.0549421981,
            0.0556717478,
            0.0564012975,
            0.0571308471,
            0.0578603968,
            0.0585899465,
            0.0593194962,
            0.0600490458,
            0.0607785955,
            0.0617494136,
            0.0627221465,
            0.0636948794,
            0.0646676123,
            0.0656403452,
            0.0666130781,
            0.067585811,
            0.0685585439,
            0.0695312768,
            0.0705040097,
            0.0714767426,
            0.0724494755,
            0.0734222084,
            0.0743949413,
            0.0753676742,
            0.0763404071,
            0.0771025047,
            0.0778320581,
            0.078561604,
            0.0792911574,
            0.0800207034,
            0.0807502568,
            0.0814798027,
            0.0822093561,
            0.0829389021,
            0.0836684555,
            0.0843980014,
            0.0851275548,
            0.0858571008,
            0.0865866542,
            0.0873162001,
            0.0880457535,
            0.0887752995,
            0.0895048529,
            0.0902343988,
            0.0909639522,
            0.0916934982,
            0.0924230516,
            0.0931525975,
            0.0938821435,
            0.0946116969,
            0.0953412503,
            0.0960707963,
            0.0968003422,
            0.0975298956,
            0.098259449,
            0.098988995,
            0.0997185409,
            0.100448094,
            0.10117764,
            0.101907194,
            0.10263674,
            0.103366293,
            0.104095839,
            0.104825392,
            0.105554938,
            0.106284492,
            0.107014038,
            0.107743591,
            0.108473137,
            0.10920269,
            0.109932236,
            0.11066179,
            0.111391336,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.112028979,
            0.112758525,
            0.113488078,
            0.114217624,
            0.11494717,
            0.115676723,
            0.116406277,
            0.117135823,
            0.117865369,
            0.118594922,
            0.119324468,
            0.120054021,
            0.120783567,
            0.121513121,
            0.122242667,
            0.12297222,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123636663,
            0.124609396,
            0.125582129,
            0.126554862,
            0.127527595,
            0.128500327,
            0.12947306,
            0.130445793,
            0.131418526,
            0.132391259,
            0.133363992,
            0.134336725,
            0.135309458,
            0.136282191,
            0.137254924,
            0.138227656,
            0.139200389,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.138503388,
            0.137530655,
            0.136557922,
            0.135585189,
            0.134612456,
            0.133639723,
            0.13266699,
            0.131694257,
            0.130721524,
            0.129748791,
            0.128776059,
            0.127803326,
            0.126830593,
            0.12585786,
            0.124885134,
            0.123912401,
            0.123087108,
            0.122357562,
            0.121628009,
            0.120898463,
            0.120168909,
            0.119439363,
            0.11870981,
            0.117980264,
            0.117250711,
            0.116521165,
            0.115791611,
            0.115062065,
            0.114332512,
            0.113602966,
            0.112873413,
            0.112143867,
            0.111063905,
            0.109604806,
            0.108145706,
            0.106686607,
            0.105227508,
            0.103768408,
            0.102309309,
            0.10085021,
            0.0993911102,
            0.0979320109,
            0.0964729115,
            0.0950138122,
            0.0935547128,
            0.0920956135,
            0.0906365141,
            0.0891774148,
            0.0876321495,
            0.0859298632,
            0.0842275843,
            0.082525298,
            0.0808230191,
            0.0791207328,
            0.077418454,
            0.0757161677,
            0.0740138888,
            0.07231161,
            0.0706093237,
            0.0689070374,
            0.0672047585,
            0.0655024797,
            0.0638001934,
            0.0620979145,
            0.0606177486,
            0.059888199,
            0.0591586493,
            0.0584290996,
            0.0576995499,
            0.0569700003,
            0.0562404543,
            0.0555109009,
            0.054781355,
            0.0540518016,
            0.0533222556,
            0.0525927022,
            0.0518631563,
            0.0511336029,
            0.0504040569,
            0.0496745072,
            0.0489449576,
            0.0482154079,
            0.0474858582,
            0.0467563085,
            0.0460267588,
            0.0452972092,
            0.0445676595,
            0.0438381098,
            0.0431085601,
            0.0423790105,
            0.0416494608,
            0.0409199111,
            0.0401903614,
            0.0394608118,
            0.0387312621,
            0.0380017124,
            0.0372721627,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0366345234,
            0.0359049737,
            0.0351754278,
            0.0344458781,
            0.0337163284,
            0.0329867788,
            0.0322572291,
            0.0315276794,
            0.0307981279,
            0.0300685782,
            0.0293390304,
            0.0286094807,
            0.027879931,
            0.0271503814,
            0.0264208317,
            0.025691282,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0250536427,
            0.024324093,
            0.0235945433,
            0.0228649955,
            0.0221354458,
            0.0214058962,
            0.0206763465,
            0.0199467968,
            0.0192172471,
            0.0184876975,
            0.0177581478,
            0.0170285981,
            0.0162990484,
            0.0155694988,
            0.0148399491,
            0.0141103994,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0138863651,
            0.0146159139,
            0.0153454635,
            0.0160750132,
            0.0168045629,
            0.0175341126,
            0.0182636622,
            0.0189932119,
            0.0197227616,
            0.0204523113,
            0.0211818609,
            0.0219114106,
            0.0226409603,
            0.0233705081,
            0.0241000578,
            0.0248296075,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0261048842,
            0.0268344339,
            0.0275639836,
            0.0282935333,
            0.0290230829,
            0.0297526326,
            0.0304821823,
            0.031211732,
            0.0319412798,
            0.0326708294,
            0.0334003791,
            0.0341299288,
            0.0348594785,
            0.0355890281,
            0.0363185778,
            0.0370481275,
            0.0377776772,
            0.0385072269,
            0.0392367765,
            0.0399663262,
            0.0406958759,
            0.0414254256,
            0.0421549752,
            0.0428845249,
            0.0436140746,
            0.0443436243,
            0.0450731739,
            0.0458027236,
            0.0465322733,
            0.047261823,
            0.0479913726,
            0.0487209223,
            0.049450472,
            0.0501800217,
            0.0509095713,
            0.051639121,
            0.0523686707,
            0.0530982204,
            0.0538277701,
            0.0545573197,
            0.0552868694,
            0.0560164154,
            0.0567459688,
            0.0574755147,
            0.0582050681,
            0.0589346141,
            0.0596641675,
            0.0603937134,
            0.06123624,
            0.0622089729,
            0.0631817058,
            0.0641544387,
            0.0651271716,
            0.0660999045,
            0.0670726374,
            0.0680453703,
            0.0690181032,
            0.0699908361,
            0.070963569,
            0.0719363019,
            0.0729090348,
            0.0738817677,
            0.0748545006,
            0.0758272335,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0755361766,
            0.0745634437,
            0.0735907108,
            0.0726179779,
            0.071645245,
            0.0706725121,
            0.0696997792,
            0.0687270463,
            0.0677543133,
            0.0667815804,
            0.0658088475,
            0.0648361146,
            0.0638633817,
            0.0628906488,
            0.0619179159,
            0.0609451868,
            0.0601754263,
            0.0594458766,
            0.058716327,
            0.0579867773,
            0.0572572276,
            0.0565276779,
            0.0557981282,
            0.0550685786,
            0.0543390289,
            0.0536094792,
            0.0528799295,
            0.0521503799,
            0.0514208302,
            0.0506912805,
            0.0499617308,
            0.0492321812,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0485945418,
            0.0478649922,
            0.0471354425,
            0.0464058928,
            0.0456763431,
            0.0449467935,
            0.0442172438,
            0.0434876941,
            0.0427581444,
            0.0420285985,
            0.0412990451,
            0.0405694991,
            0.0398399457,
            0.0391103998,
            0.0383808464,
            0.0376513004,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.037496198,
            0.0382257476,
            0.0389552973,
            0.039684847,
            0.0404143967,
            0.0411439463,
            0.041873496,
            0.0426030457,
            0.0433325954,
            0.0440621451,
            0.0447916947,
            0.0455212444,
            0.0462507941,
            0.0469803438,
            0.0477098934,
            0.0484394431,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0489047468,
            0.0474456474,
            0.0459865481,
            0.0445274487,
            0.0430683494,
            0.04160925,
            0.0401501507,
            0.0386910513,
            0.037231952,
            0.0357728526,
            0.0343137532,
            0.0328546539,
            0.0313955545,
            0.0299364552,
            0.0284773558,
            0.0270182565,
            0.025559159,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0259612724,
            0.0274203718,
            0.0288794711,
            0.0303385705,
            0.0317976698,
            0.0332567692,
            0.0347158685,
            0.0361749679,
            0.0376340672,
            0.0390931666,
            0.0405522659,
            0.0420113653,
            0.0434704646,
            0.044929564,
            0.0463886634,
            0.047847759,
            0.0491632484,
            0.0498927981,
            0.0506223477,
            0.0513518974,
            0.0520814434,
            0.0528109968,
            0.0535405427,
            0.0542700924,
            0.0549996421,
            0.0557291918,
            0.0564587414,
            0.0571882911,
            0.0579178408,
            0.0586473905,
            0.0593769401,
            0.0601064898,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.060095001,
            0.0593654513,
            0.0586359017,
            0.057906352,
            0.0571768023,
            0.0564472526,
            0.055717703,
            0.0549881533,
            0.0542586036,
            0.0535290539,
            0.052799508,
            0.0520699546,
            0.0513404086,
            0.0506108552,
            0.0498813093,
            0.0491517559,
            0.0478247814,
            0.046365682,
            0.0449065827,
            0.0434474833,
            0.041988384,
            0.0405292846,
            0.039070189,
            0.0376110896,
            0.0361519903,
            0.0346928909,
            0.0332337916,
            0.0317746922,
            0.030315591,
            0.0288564917,
            0.0273973942,
            0.0259382948,
            0.0249847099,
            0.0242551602,
            0.0235256106,
            0.0227960609,
            0.0220665112,
            0.0213369615,
            0.0206074119,
            0.0198778622,
            0.0191483125,
            0.0184187628,
            0.0176892132,
            0.0169596635,
            0.0162301138,
            0.0155005651,
            0.0147710154,
            0.0140414657,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0140472101,
            0.0147767598,
            0.0155063095,
            0.0162358582,
            0.0169654079,
            0.0176949576,
            0.0184245072,
            0.0191540569,
            0.0198836066,
            0.0206131563,
            0.0213427059,
            0.0220722556,
            0.0228018053,
            0.023531355,
            0.0242609046,
            0.0249904543,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254442692,
            0.0247147195,
            0.0239851698,
            0.0232556202,
            0.0225260705,
            0.0217965208,
            0.0210669711,
            0.0203374214,
            0.0196078718,
            0.0188783221,
            0.0181487724,
            0.0174192227,
            0.0166896731,
            0.0159601234,
            0.0152305746,
            0.014501025,
            0.0137714753,
            0.0130419256,
            0.0123123759,
            0.0115828263,
            0.0108532766,
            0.0101237269,
            0.00939417817,
            0.00866462849,
            0.00793507881,
            0.00720552867,
            0.006475979,
            0.00574642979,
            0.00501688011,
            0.00428733043,
            0.00355778076,
            0.00282823108,
            0.00209868141,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00259270729,
            0.00405180641,
            0.00551090576,
            0.00697000511,
            0.00842910446,
            0.00988820288,
            0.0113473022,
            0.0128064016,
            0.0142655009,
            0.0157245994,
            0.0171836987,
            0.0186427981,
            0.0201018974,
            0.0215609968,
            0.0230200961,
            0.0244791955,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0255304351,
            0.0262599848,
            0.0269895345,
            0.0277190842,
            0.0284486338,
            0.0291781835,
            0.0299077332,
            0.0306372829,
            0.0313668326,
            0.0320963822,
            0.0328259319,
            0.0335554816,
            0.0342850313,
            0.0350145809,
            0.0357441306,
            0.0364736803,
            0.03720323,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0366689935,
            0.0359394439,
            0.0352098942,
            0.0344803445,
            0.0337507948,
            0.0330212452,
            0.0322916955,
            0.0315621458,
            0.0308325961,
            0.0301030464,
            0.0293734968,
            0.0286439471,
            0.0279143974,
            0.0271848477,
            0.0264552981,
            0.0257257484,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0258923378,
            0.0266218875,
            0.0273514371,
            0.0280809868,
            0.0288105365,
            0.0295400862,
            0.0302696358,
            0.0309991855,
            0.0317287371,
            0.032458283,
            0.0331878327,
            0.0339173824,
            0.034646932,
            0.0353764817,
            0.0361060314,
            0.0368355811,
            0.0378753357,
            0.0393344313,
            0.0407935306,
            0.04225263,
            0.0437117293,
            0.0451708287,
            0.0466299281,
            0.0480890274,
            0.0495481268,
            0.0510072261,
            0.0524663255,
            0.0539254248,
            0.0553845242,
            0.0568436235,
            0.0583027229,
            0.0597618222,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.059623953,
            0.0581648536,
            0.0567057543,
            0.0552466549,
            0.0537875593,
            0.0523284599,
            0.0508693606,
            0.0494102612,
            0.0479511619,
            0.0464920625,
            0.0450329632,
            0.0435738638,
            0.0421147645,
            0.0406556651,
            0.0391965657,
            0.0377374664,
            0.0367666483,
            0.0360370986,
            0.0353075489,
            0.0345779993,
            0.0338484496,
            0.0331188999,
            0.0323893502,
            0.0316598006,
            0.0309302509,
            0.0302007012,
            0.0294711515,
            0.0287416019,
            0.0280120522,
            0.0272825025,
            0.0265529528,
            0.0258234031,
            0.0258865934,
            0.0266161431,
            0.0273456927,
            0.0280752424,
            0.0288047921,
            0.0295343418,
            0.0302638914,
            0.0309934411,
            0.0317229889,
            0.0324525386,
            0.0331820883,
            0.033911638,
            0.0346411876,
            0.0353707373,
            0.036100287,
            0.0368298367,
            0.0375593863,
            0.038288936,
            0.0390184857,
            0.0397480354,
            0.040477585,
            0.0412071347,
            0.0419366844,
            0.0426662341,
            0.0433957838,
            0.0441253334,
            0.0448548831,
            0.0455844328,
            0.0463139825,
            0.0470435321,
            0.0477730818,
            0.0485026315,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490483567,
            0.0497779064,
            0.0505074561,
            0.0512370057,
            0.0519665554,
            0.0526961051,
            0.0534256548,
            0.0541552044,
            0.0548847541,
            0.0556143038,
            0.0563438535,
            0.0570734031,
            0.0578029528,
            0.0585325025,
            0.0592620522,
            0.0599916019,
            0.0607211515,
            0.0616728216,
            0.0626455545,
            0.0636182874,
            0.0645910203,
            0.0655637532,
            0.0665364861,
            0.0675092191,
            0.068481952,
            0.0694546849,
            0.0704274178,
            0.0714001507,
            0.0723728836,
            0.0733456165,
            0.0743183494,
            0.0752910823,
            0.0762638152,
            0.0770450607,
            0.0777746141,
            0.07850416,
            0.0792337134,
            0.0799632594,
            0.0806928128,
            0.0814223588,
            0.0821519122,
            0.0828814581,
            0.0836110115,
            0.0843405575,
            0.0850701034,
            0.0857996568,
            0.0865292102,
            0.0872587562,
            0.0879883021,
            0.0887178555,
            0.0894474015,
            0.0901769549,
            0.0909065008,
            0.0916360542,
            0.0923656002,
            0.0930951536,
            0.0938246995,
            0.0945542529,
            0.0952837989,
            0.0960133523,
            0.0967428982,
            0.0974724516,
            0.0982019976,
            0.098931551,
            0.0996610969,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100660637,
            0.10139019,
            0.102119736,
            0.10284929,
            0.103578836,
            0.104308389,
            0.105037935,
            0.105767488,
            0.106497034,
            0.107226588,
            0.107956134,
            0.108685687,
            0.109415233,
            0.110144787,
            0.110874332,
            0.111603886,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.112241521,
            0.112971067,
            0.113700621,
            0.114430167,
            0.11515972,
            0.115889266,
            0.11661882,
            0.117348365,
            0.118077919,
            0.118807465,
            0.119537018,
            0.120266564,
            0.120996118,
            0.121725664,
            0.122455217,
            0.123184763,
            0.124042608,
            0.125015348,
            0.125988066,
            0.126960814,
            0.127933532,
            0.12890628,
            0.129878998,
            0.130851731,
            0.131824464,
            0.132797197,
            0.133769929,
            0.134742662,
            0.135715395,
            0.136688128,
            0.137660861,
            0.138633594,
            0.13950868,
            0.140238225,
            0.140967771,
            0.141697332,
            0.142426878,
            0.143156424,
            0.14388597,
            0.144615531,
            0.145345077,
            0.146074623,
            0.146804169,
            0.147533715,
            0.148263276,
            0.148992822,
            0.149722368,
            0.150451913,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150963172,
            0.150233626,
            0.14950408,
            0.148774534,
            0.148044974,
            0.147315428,
            0.146585882,
            0.145856336,
            0.14512679,
            0.144397229,
            0.143667683,
            0.142938137,
            0.142208591,
            0.14147903,
            0.140749484,
            0.140019938,
            0.139290392,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.137902141,
            0.136199847,
            0.134497568,
            0.132795289,
            0.13109301,
            0.129390717,
            0.127688438,
            0.125986159,
            0.12428388,
            0.122581594,
            0.120879307,
            0.119177029,
            0.11747475,
            0.115772463,
            0.114070185,
            0.112367898,
            0.111293681,
            0.110564135,
            0.109834582,
            0.109105036,
            0.108375482,
            0.107645936,
            0.106916383,
            0.106186837,
            0.105457284,
            0.104727738,
            0.103998184,
            0.103268638,
            0.102539085,
            0.101809539,
            0.101079985,
            0.10035044,
            0.098736234,
            0.0963044018,
            0.093872577,
            0.0914407372,
            0.0890089124,
            0.0865770802,
            0.0841452479,
            0.0817134157,
            0.0792815834,
            0.0768497512,
            0.0744179189,
            0.0719860867,
            0.0695542544,
            0.0671224222,
            0.0646905899,
            0.0622587577,
            0.0602098927,
            0.0587507933,
            0.057291694,
            0.0558325946,
            0.0543734953,
            0.0529143959,
            0.0514552966,
            0.0499961972,
            0.0485370979,
            0.0470779985,
            0.0456188992,
            0.0441597998,
            0.0427007005,
            0.0412416011,
            0.0397825018,
            0.0383234024,
            0.0370596163,
            0.0363300666,
            0.0356005169,
            0.0348709673,
            0.0341414176,
            0.0334118679,
            0.0326823182,
            0.0319527686,
            0.0312232208,
            0.0304936711,
            0.0297641214,
            0.0290345717,
            0.028305022,
            0.0275754724,
            0.0268459227,
            0.026116373,
            0.0253868233,
            0.0246572737,
            0.023927724,
            0.0231981743,
            0.0224686246,
            0.021739075,
            0.0210095271,
            0.0202799775,
            0.0195504278,
            0.0188208781,
            0.0180913284,
            0.0173617788,
            0.0166322291,
            0.0159026794,
            0.0151731297,
            0.0144435801,
            0.0137140304,
            0.0129844807,
            0.012254931,
            0.0115253814,
            0.0107958317,
            0.010066282,
            0.00933673233,
            0.00860718265,
            0.00787763298,
            0.00714808377,
            0.00641853455,
            0.00568898488,
            0.0049594352,
            0.00422988553,
            0.00350033585,
            0.00277078617,
            0.0020412365,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00121786061,
            0.000245127827,
            -0.000727605075,
            -0.00170033774,
            -0.00267307041,
            -0.00364580331,
            -0.00461853622,
            -0.00559126865,
            -0.00656400155,
            -0.00753673445,
            -0.00850946736,
            -0.00948220026,
            -0.0104549332,
            -0.0114276651,
            -0.012400398,
            -0.0133731309,
            -0.0141907632,
            -0.0149203129,
            -0.0156498626,
            -0.0163794123,
            -0.0171089619,
            -0.0178385116,
            -0.0185680613,
            -0.019297611,
            -0.0200271606,
            -0.0207567103,
            -0.0214862581,
            -0.0222158097,
            -0.0229453575,
            -0.0236749072,
            -0.0244044568,
            -0.0251340065,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0253925081,
            -0.0246629585,
            -0.0239334088,
            -0.0232038591,
            -0.0224743094,
            -0.0217447616,
            -0.0210152119,
            -0.0202856623,
            -0.0195561126,
            -0.0188265629,
            -0.0180970132,
            -0.0173674636,
            -0.0166379139,
            -0.0159083642,
            -0.0151788145,
            -0.0144492649,
            -0.0137178004,
            -0.0127450675,
            -0.0117723346,
            -0.0107996017,
            -0.00982686877,
            -0.00885413587,
            -0.00788140297,
            -0.006908671,
            -0.0059359381,
            -0.0049632052,
            -0.00399047229,
            -0.00301773939,
            -0.00204500649,
            -0.00107227452,
            -9.95416194e-5,
            0.000873191282,
            0.00184592418,
            0.00260419631,
            0.00333374599,
            0.0040632952,
            0.00479284488,
            0.00552239455,
            0.00625194423,
            0.00698149391,
            0.00771104358,
            0.00844059326,
            0.00917014293,
            0.00989969261,
            0.0106292414,
            0.011358791,
            0.0120883407,
            0.0128178904,
            0.0135474401,
            0.0142769897,
            0.0150065394,
            0.0157360882,
            0.0164656378,
            0.0171951875,
            0.0179247372,
            0.0186542869,
            0.0193838365,
            0.0201133862,
            0.0208429359,
            0.0215724856,
            0.0223020352,
            0.0230315849,
            0.0237611346,
            0.0244906843,
            0.0252202339,
            0.0259497836,
            0.0266793333,
            0.027408883,
            0.0281384327,
            0.0288679823,
            0.029597532,
            0.0303270817,
            0.0310566314,
            0.031786181,
            0.0325157307,
            0.0332452804,
            0.0339748263,
            0.0347043797,
            0.0354339257,
            0.0361634791,
            0.036893025,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295
          ],
          [
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.049657274,
            0.0503868237,
            0.0511163734,
            0.0518459231,
            0.052575469,
            0.0533050224,
            0.0540345684,
            0.0547641218,
            0.0554936677,
            0.0562232174,
            0.0569527671,
            0.0576823168,
            0.0584118664,
            0.0591414161,
            0.0598709658,
            0.0606005155,
            0.0615119748,
            0.0624847077,
            0.0634574369,
            0.0644301698,
            0.0654029027,
            0.0663756356,
            0.0673483685,
            0.0683211014,
            0.0692938343,
            0.0702665672,
            0.0712393001,
            0.072212033,
            0.0731847659,
            0.0741574988,
            0.0751302317,
            0.0761029646,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0759880766,
            0.0750153437,
            0.0740426108,
            0.0730698779,
            0.072097145,
            0.0711244121,
            0.0701516792,
            0.0691789463,
            0.0682062134,
            0.0672334805,
            0.0662607476,
            0.0652880147,
            0.0643152818,
            0.0633425489,
            0.062369816,
            0.0613970831,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0610217787,
            0.0619945116,
            0.0629672408,
            0.0639399737,
            0.0649127066,
            0.0658854395,
            0.0668581724,
            0.0678309053,
            0.0688036382,
            0.0697763711,
            0.070749104,
            0.0717218369,
            0.0726945698,
            0.0736673027,
            0.0746400356,
            0.0756127685,
            0.0765567794,
            0.0772863328,
            0.0780158788,
            0.0787454322,
            0.0794749781,
            0.0802045316,
            0.0809340775,
            0.0816636309,
            0.0823931769,
            0.0831227303,
            0.0838522762,
            0.0845818222,
            0.0853113756,
            0.086040929,
            0.0867704749,
            0.0875000209,
            0.0882295743,
            0.0889591202,
            0.0896886736,
            0.0904182196,
            0.091147773,
            0.0918773189,
            0.0926068723,
            0.0933364183,
            0.0940659717,
            0.0947955176,
            0.095525071,
            0.096254617,
            0.0969841704,
            0.0977137163,
            0.0984432697,
            0.0991728157,
            0.0999023691,
            0.100631915,
            0.101361468,
            0.102091014,
            0.102820568,
            0.103550114,
            0.104279667,
            0.105009213,
            0.105738766,
            0.106468312,
            0.107197866,
            0.107927412,
            0.108656965,
            0.109386511,
            0.110116065,
            0.11084561,
            0.111575164,
            0.11230471,
            0.113034263,
            0.113763809,
            0.114493363,
            0.115222909,
            0.115952462,
            0.116682008,
            0.117411554,
            0.118141107,
            0.118870661,
            0.119600207,
            0.120329753,
            0.121059306,
            0.121788859,
            0.122518405,
            0.123247951,
            0.124126859,
            0.125099599,
            0.126072332,
            0.127045065,
            0.128017798,
            0.128990531,
            0.129963264,
            0.130935997,
            0.13190873,
            0.132881463,
            0.133854181,
            0.134826928,
            0.135799646,
            0.136772394,
            0.137745112,
            0.13871786,
            0.13957186,
            0.140301421,
            0.141030967,
            0.141760513,
            0.142490059,
            0.14321962,
            0.143949166,
            0.144678712,
            0.145408258,
            0.146137819,
            0.146867365,
            0.147596911,
            0.148326457,
            0.149056017,
            0.149785563,
            0.150515109,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151060835,
            0.151790395,
            0.152519941,
            0.153249502,
            0.153979048,
            0.154708609,
            0.155438155,
            0.156167716,
            0.156897262,
            0.157626823,
            0.158356369,
            0.159085929,
            0.159815475,
            0.160545021,
            0.161274582,
            0.162004143,
            0.162733689,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162210941,
            0.16148138,
            0.160751835,
            0.160022274,
            0.159292728,
            0.158563167,
            0.157833621,
            0.15710406,
            0.156374514,
            0.155644953,
            0.154915407,
            0.154185846,
            0.1534563,
            0.15272674,
            0.151997194,
            0.151267633,
            0.150538087,
            0.149808541,
            0.149078995,
            0.148349434,
            0.147619888,
            0.146890342,
            0.146160796,
            0.145431235,
            0.144701689,
            0.143972144,
            0.143242598,
            0.142513037,
            0.141783491,
            0.141053945,
            0.140324399,
            0.139594838,
            0.138398081,
            0.136695787,
            0.134993508,
            0.13329123,
            0.131588951,
            0.129886657,
            0.128184378,
            0.126482099,
            0.12477982,
            0.123077534,
            0.121375248,
            0.119672969,
            0.11797069,
            0.116268404,
            0.114566125,
            0.112863839,
            0.111247726,
            0.109788626,
            0.108329527,
            0.106870428,
            0.105411328,
            0.103952229,
            0.10249313,
            0.10103403,
            0.099574931,
            0.0981158316,
            0.0966567323,
            0.0951976329,
            0.0937385336,
            0.0922794342,
            0.0908203349,
            0.0893612355,
            0.0880687311,
            0.0873391777,
            0.0866096318,
            0.0858800784,
            0.0851505324,
            0.084420979,
            0.0836914331,
            0.0829618797,
            0.0822323337,
            0.0815027803,
            0.0807732344,
            0.080043681,
            0.079314135,
            0.0785845816,
            0.0778550357,
            0.0771254823,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0756434053,
            0.0746706724,
            0.0736979395,
            0.0727252066,
            0.0717524737,
            0.0707797408,
            0.0698070079,
            0.068834275,
            0.0678615421,
            0.0668888092,
            0.0659160763,
            0.0649433434,
            0.0639706105,
            0.0629978776,
            0.0620251484,
            0.0610524155,
            0.0602558479,
            0.0595262982,
            0.0587967485,
            0.0580671988,
            0.0573376492,
            0.0566080995,
            0.0558785498,
            0.0551490001,
            0.0544194505,
            0.0536899008,
            0.0529603511,
            0.0522308014,
            0.0515012518,
            0.0507717021,
            0.0500421524,
            0.0493126027,
            0.0485830531,
            0.0478535034,
            0.0471239537,
            0.046394404,
            0.0456648543,
            0.0449353047,
            0.044205755,
            0.0434762053,
            0.0427466556,
            0.042017106,
            0.0412875563,
            0.0405580103,
            0.0398284569,
            0.039098911,
            0.0383693576,
            0.0376398116,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0378695875,
            0.0385991409,
            0.0393286869,
            0.0400582366,
            0.0407877862,
            0.0415173359,
            0.0422468856,
            0.0429764353,
            0.043705985,
            0.0444355346,
            0.0451650843,
            0.045894634,
            0.0466241837,
            0.0473537333,
            0.048083283,
            0.0488128327,
            0.0495423824,
            0.050271932,
            0.0510014817,
            0.0517310314,
            0.0524605811,
            0.0531901307,
            0.0539196804,
            0.0546492301,
            0.0553787798,
            0.0561083294,
            0.0568378791,
            0.0575674288,
            0.0582969785,
            0.0590265281,
            0.0597560778,
            0.0604856275,
            0.0613587871,
            0.06233152,
            0.0633042529,
            0.0642769858,
            0.0652497187,
            0.0662224516,
            0.0671951845,
            0.0681679174,
            0.0691406503,
            0.0701133832,
            0.0710861161,
            0.072058849,
            0.0730315819,
            0.0740043148,
            0.0749770477,
            0.0759497806,
            0.0768095404,
            0.0775390863,
            0.0782686397,
            0.0789981857,
            0.0797277391,
            0.080457285,
            0.0811868384,
            0.0819163844,
            0.0826459378,
            0.0833754838,
            0.0841050372,
            0.0848345831,
            0.0855641365,
            0.0862936825,
            0.0870232284,
            0.0877527818,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0881721303,
            0.0874425769,
            0.0867130309,
            0.0859834775,
            0.0852539316,
            0.0845243782,
            0.0837948322,
            0.0830652788,
            0.0823357329,
            0.0816061795,
            0.0808766335,
            0.0801470876,
            0.0794175342,
            0.0786879808,
            0.0779584348,
            0.0772288889,
            0.0764993355,
            0.0755361766,
            0.0745634437,
            0.0735907108,
            0.0726179779,
            0.071645245,
            0.0706725121,
            0.0696997792,
            0.0687270463,
            0.0677543133,
            0.0667815804,
            0.0658088475,
            0.0648361146,
            0.0638633817,
            0.0628906488,
            0.0619179159,
            0.0609451868,
            0.0601754263,
            0.0594458766,
            0.058716327,
            0.0579867773,
            0.0572572276,
            0.0565276779,
            0.0557981282,
            0.0550685786,
            0.0543390289,
            0.0536094792,
            0.0528799295,
            0.0521503799,
            0.0514208302,
            0.0506912805,
            0.0499617308,
            0.0492321812,
            0.0485026315,
            0.0477730818,
            0.0470435321,
            0.0463139825,
            0.0455844328,
            0.0448548831,
            0.0441253334,
            0.0433957838,
            0.0426662341,
            0.0419366844,
            0.0412071347,
            0.040477585,
            0.0397480354,
            0.0390184857,
            0.038288936,
            0.0375593863,
            0.0368298367,
            0.036100287,
            0.0353707373,
            0.0346411876,
            0.033911638,
            0.0331820883,
            0.0324525386,
            0.0317229889,
            0.0309934411,
            0.0302638914,
            0.0295343418,
            0.0288047921,
            0.0280752424,
            0.0273456927,
            0.0266161431,
            0.0258865934,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254327804,
            0.0247032307,
            0.023973681,
            0.0232441314,
            0.0225145817,
            0.021785032,
            0.0210554823,
            0.0203259327,
            0.019596383,
            0.0188668333,
            0.0181372836,
            0.0174077339,
            0.0166781843,
            0.0159486346,
            0.0152190849,
            0.0144895352,
            0.0137599865,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0139610432,
            0.0146905929,
            0.0154201426,
            0.0161496922,
            0.0168792419,
            0.0176087916,
            0.0183383413,
            0.0190678909,
            0.0197974406,
            0.0205269903,
            0.02125654,
            0.0219860896,
            0.0227156393,
            0.023445189,
            0.0241747387,
            0.0249042865,
            0.0256338362,
            0.0263633858,
            0.0270929355,
            0.0278224852,
            0.0285520349,
            0.0292815845,
            0.0300111342,
            0.0307406839,
            0.0314702317,
            0.0321997814,
            0.0329293311,
            0.0336588807,
            0.0343884304,
            0.0351179801,
            0.0358475298,
            0.0365770794,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0365655906,
            0.035836041,
            0.0351064913,
            0.0343769416,
            0.0336473919,
            0.0329178423,
            0.0321882926,
            0.0314587429,
            0.0307291951,
            0.0299996454,
            0.0292700958,
            0.0285405461,
            0.0278109964,
            0.0270814467,
            0.026351897,
            0.0256223474,
            0.0248927977,
            0.024163248,
            0.0234336983,
            0.0227041487,
            0.021974599,
            0.0212450493,
            0.0205155015,
            0.0197859518,
            0.0190564021,
            0.0183268525,
            0.0175973028,
            0.0168677531,
            0.0161382034,
            0.0154086528,
            0.0146791041,
            0.0139495544,
            0.0132200047,
            0.0124904551,
            0.0117609054,
            0.0110313557,
            0.010301806,
            0.00957225636,
            0.00884270668,
            0.008113157,
            0.00738360779,
            0.00665405812,
            0.00592450844,
            0.00519495923,
            0.00446540955,
            0.00373585988,
            0.0030063102,
            0.00227676053,
            0.00237441692,
            0.00310396636,
            0.00383351604,
            0.00456306571,
            0.00529261539,
            0.00602216506,
            0.00675171427,
            0.00748126395,
            0.00821081363,
            0.0089403633,
            0.00966991298,
            0.0103994627,
            0.0111290123,
            0.011858562,
            0.0125881108,
            0.0133176604,
            0.0140472101,
            0.0147767598,
            0.0155063095,
            0.0162358582,
            0.0169654079,
            0.0176949576,
            0.0184245072,
            0.0191540569,
            0.0198836066,
            0.0206131563,
            0.0213427059,
            0.0220722556,
            0.0228018053,
            0.023531355,
            0.0242609046,
            0.0249904543,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254442692,
            0.0247147195,
            0.0239851698,
            0.0232556202,
            0.0225260705,
            0.0217965208,
            0.0210669711,
            0.0203374214,
            0.0196078718,
            0.0188783221,
            0.0181487724,
            0.0174192227,
            0.0166896731,
            0.0159601234,
            0.0152305746,
            0.014501025,
            0.0137714753,
            0.0130419256,
            0.0123123759,
            0.0115828263,
            0.0108532766,
            0.0101237269,
            0.00939417817,
            0.00866462849,
            0.00793507881,
            0.00720552867,
            0.006475979,
            0.00574642979,
            0.00501688011,
            0.00428733043,
            0.00355778076,
            0.00282823108,
            0.00209868141,
            0.00117190473,
            0.000199171947,
            -0.000773560721,
            -0.00174629362,
            -0.00271902652,
            -0.00369175896,
            -0.00466449186,
            -0.00563722476,
            -0.00660995767,
            -0.00758269057,
            -0.00855542347,
            -0.00952815637,
            -0.0105008883,
            -0.0114736212,
            -0.0124463541,
            -0.013419087,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0133041972,
            -0.0123314643,
            -0.0113587324,
            -0.0103859995,
            -0.00941326655,
            -0.00844053365,
            -0.00746780075,
            -0.00649506785,
            -0.00552233495,
            -0.00454960205,
            -0.00357686915,
            -0.00260413624,
            -0.00163140427,
            -0.000658671372,
            0.00031406153,
            0.00128679443,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00200102548,
            0.00273057492,
            0.0034601246,
            0.00418967428,
            0.00491922349,
            0.00564877316,
            0.00637832284,
            0.00710787252,
            0.00783742219,
            0.00856697187,
            0.00929652154,
            0.0100260712,
            0.0107556209,
            0.0114851696,
            0.0122147193,
            0.012944269,
            0.0136738187,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0131395813,
            0.0124100316,
            0.011680482,
            0.0109509332,
            0.0102213835,
            0.00949183386,
            0.00876228418,
            0.00803273451,
            0.00730318483,
            0.00657363562,
            0.00584408548,
            0.0051145358,
            0.00438498706,
            0.00365543738,
            0.0029258877,
            0.00219633803,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00276504178,
            0.00422414113,
            0.00568324048,
            0.00714233937,
            0.00860143825,
            0.0100605376,
            0.011519637,
            0.0129787363,
            0.0144378357,
            0.015896935,
            0.0173560344,
            0.0188151337,
            0.0202742312,
            0.0217333306,
            0.0231924299,
            0.0246515293,
            0.0261106286,
            0.027569728,
            0.0290288273,
            0.0304879267,
            0.0319470242,
            0.0334061235,
            0.0348652229,
            0.0363243222,
            0.0377834216,
            0.0392425209,
            0.0407016203,
            0.0421607196,
            0.043619819,
            0.0450789183,
            0.0465380177,
            0.047997117,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490541011,
            0.0497836508,
            0.0505132005,
            0.0512427501,
            0.0519722998,
            0.0527018495,
            0.0534313992,
            0.0541609488,
            0.0548904985,
            0.0556200482,
            0.0563495979,
            0.0570791475,
            0.0578086972,
            0.0585382469,
            0.0592677966,
            0.0599973463,
            0.0607268959,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.059623953,
            0.0581648536,
            0.0567057543,
            0.0552466549,
            0.0537875593,
            0.0523284599,
            0.0508693606,
            0.0494102612,
            0.0479511619,
            0.0464920625,
            0.0450329632,
            0.0435738638,
            0.0421147645,
            0.0406556651,
            0.0391965657,
            0.0377374664,
            0.0367666483,
            0.0360370986,
            0.0353075489,
            0.0345779993,
            0.0338484496,
            0.0331188999,
            0.0323893502,
            0.0316598006,
            0.0309302509,
            0.0302007012,
            0.0294711515,
            0.0287416019,
            0.0280120522,
            0.0272825025,
            0.0265529528,
            0.0258234031,
            0.0258865934,
            0.0266161431,
            0.0273456927,
            0.0280752424,
            0.0288047921,
            0.0295343418,
            0.0302638914,
            0.0309934411,
            0.0317229889,
            0.0324525386,
            0.0331820883,
            0.033911638,
            0.0346411876,
            0.0353707373,
            0.036100287,
            0.0368298367,
            0.0375593863,
            0.038288936,
            0.0390184857,
            0.0397480354,
            0.040477585,
            0.0412071347,
            0.0419366844,
            0.0426662341,
            0.0433957838,
            0.0441253334,
            0.0448548831,
            0.0455844328,
            0.0463139825,
            0.0470435321,
            0.0477730818,
            0.0485026315,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0491402671,
            0.0498698168,
            0.0505993664,
            0.0513289161,
            0.0520584658,
            0.0527880155,
            0.0535175651,
            0.0542471148,
            0.0549766645,
            0.0557062142,
            0.0564357638,
            0.0571653135,
            0.0578948632,
            0.0586244129,
            0.0593539625,
            0.0600835122,
            0.0608226359,
            0.0617953688,
            0.0627681017,
            0.0637408346,
            0.0647135675,
            0.0656863004,
            0.0666590333,
            0.0676317662,
            0.0686044991,
            0.069577232,
            0.0705499649,
            0.0715226978,
            0.0724954307,
            0.0734681636,
            0.0744408965,
            0.0754136294,
            0.0763863623,
            0.0771369711,
            0.0778665245,
            0.0785960704,
            0.0793256238,
            0.0800551698,
            0.0807847232,
            0.0815142691,
            0.0822438225,
            0.0829733685,
            0.0837029219,
            0.0844324678,
            0.0851620212,
            0.0858915672,
            0.0866211206,
            0.0873506665,
            0.0880802199,
            0.0888097659,
            0.0895393193,
            0.0902688652,
            0.0909984186,
            0.0917279646,
            0.092457518,
            0.0931870639,
            0.0939166173,
            0.0946461633,
            0.0953757167,
            0.0961052626,
            0.0968348086,
            0.097564362,
            0.0982939154,
            0.0990234613,
            0.0997530073,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.10039065,
            0.101120196,
            0.10184975,
            0.102579296,
            0.103308849,
            0.104038395,
            0.104767948,
            0.105497494,
            0.106227048,
            0.106956594,
            0.107686147,
            0.108415693,
            0.109145246,
            0.109874792,
            0.110604346,
            0.111333892,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111557931,
            0.110828377,
            0.110098831,
            0.109369278,
            0.108639732,
            0.107910179,
            0.107180633,
            0.106451079,
            0.105721533,
            0.10499198,
            0.104262434,
            0.103532881,
            0.102803335,
            0.102073781,
            0.101344235,
            0.100614682,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100660637,
            0.10139019,
            0.102119736,
            0.10284929,
            0.103578836,
            0.104308389,
            0.105037935,
            0.105767488,
            0.106497034,
            0.107226588,
            0.107956134,
            0.108685687,
            0.109415233,
            0.110144787,
            0.110874332,
            0.111603886,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.112241521,
            0.112971067,
            0.113700621,
            0.114430167,
            0.11515972,
            0.115889266,
            0.11661882,
            0.117348365,
            0.118077919,
            0.118807465,
            0.119537018,
            0.120266564,
            0.120996118,
            0.121725664,
            0.122455217,
            0.123184763,
            0.124042608,
            0.125015348,
            0.125988066,
            0.126960814,
            0.127933532,
            0.12890628,
            0.129878998,
            0.130851731,
            0.131824464,
            0.132797197,
            0.133769929,
            0.134742662,
            0.135715395,
            0.136688128,
            0.137660861,
            0.138633594,
            0.13950868,
            0.140238225,
            0.140967771,
            0.141697332,
            0.142426878,
            0.143156424,
            0.14388597,
            0.144615531,
            0.145345077,
            0.146074623,
            0.146804169,
            0.147533715,
            0.148263276,
            0.148992822,
            0.149722368,
            0.150451913,
            0.150779352,
            0.150049806,
            0.14932026,
            0.148590714,
            0.147861153,
            0.147131607,
            0.146402061,
            0.145672515,
            0.144942954,
            0.144213408,
            0.143483862,
            0.142754316,
            0.142024755,
            0.14129521,
            0.140565664,
            0.139836118,
            0.139070183,
            0.13809745,
            0.137124717,
            0.136151984,
            0.135179251,
            0.134206519,
            0.133233786,
            0.132261053,
            0.13128832,
            0.130315587,
            0.129342854,
            0.128370121,
            0.127397388,
            0.126424655,
            0.125451922,
            0.12447919,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.122966476,
            0.122236922,
            0.121507376,
            0.120777823,
            0.120048277,
            0.119318724,
            0.118589178,
            0.117859624,
            0.117130078,
            0.116400525,
            0.115670979,
            0.114941433,
            0.11421188,
            0.113482326,
            0.11275278,
            0.112023234,
            0.111293681,
            0.110564135,
            0.109834582,
            0.109105036,
            0.108375482,
            0.107645936,
            0.106916383,
            0.106186837,
            0.105457284,
            0.104727738,
            0.103998184,
            0.103268638,
            0.102539085,
            0.101809539,
            0.101079985,
            0.10035044,
            0.0992417485,
            0.0977826491,
            0.0963235497,
            0.0948644578,
            0.0934053585,
            0.0919462591,
            0.0904871598,
            0.0890280604,
            0.0875689611,
            0.0861098617,
            0.0846507624,
            0.083191663,
            0.0817325637,
            0.0802734643,
            0.078814365,
            0.0773552656,
            0.0758004263,
            0.07409814,
            0.0723958611,
            0.0706935748,
            0.068991296,
            0.0672890097,
            0.0655867308,
            0.0638844445,
            0.0621821657,
            0.0604798831,
            0.0587776005,
            0.0570753179,
            0.0553730354,
            0.0536707528,
            0.0519684702,
            0.0502661876,
            0.0488243215,
            0.0480947718,
            0.0473652221,
            0.0466356725,
            0.0459061228,
            0.0451765731,
            0.0444470234,
            0.0437174737,
            0.0429879241,
            0.0422583744,
            0.0415288284,
            0.040799275,
            0.0400697291,
            0.0393401757,
            0.0386106297,
            0.0378810763,
            0.0371515304,
            0.0364219807,
            0.035692431,
            0.0349628814,
            0.0342333317,
            0.033503782,
            0.0327742323,
            0.0320446827,
            0.031315133,
            0.0305855833,
            0.0298560336,
            0.0291264839,
            0.0283969343,
            0.0276673846,
            0.0269378349,
            0.0262082852,
            0.0254787356,
            0.0247491859,
            0.0240196362,
            0.0232900865,
            0.0225605369,
            0.0218309872,
            0.0211014375,
            0.0203718878,
            0.0196423382,
            0.0189127885,
            0.0181832388,
            0.0174536891,
            0.0167241395,
            0.0159945898,
            0.015265041,
            0.0145354914,
            0.0138059417,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0131683042,
            0.0124387546,
            0.0117092049,
            0.0109796552,
            0.0102501055,
            0.00952055678,
            0.0087910071,
            0.00806145743,
            0.00733190728,
            0.00660235807,
            0.0058728084,
            0.00514325872,
            0.00441370904,
            0.00368415937,
            0.00295460969,
            0.00222506002,
            0.00134040962,
            0.000367676839,
            -0.000605056062,
            -0.00157778873,
            -0.0025505214,
            -0.0035232543,
            -0.0044959872,
            -0.00546871964,
            -0.00644145254,
            -0.00741418544,
            -0.00838691834,
            -0.00935965125,
            -0.0103323841,
            -0.0113051161,
            -0.012277849,
            -0.0132505819,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0135952514,
            -0.0126225185,
            -0.0116497856,
            -0.0106770527,
            -0.00970431976,
            -0.00873158686,
            -0.00775885442,
            -0.00678612199,
            -0.00581338909,
            -0.00484065618,
            -0.00386792328,
            -0.00289519038,
            -0.00192245748,
            -0.000949725509,
            2.30073929e-5,
            0.000995740294,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00260419631,
            0.00333374599,
            0.0040632952,
            0.00479284488,
            0.00552239455,
            0.00625194423,
            0.00698149391,
            0.00771104358,
            0.00844059326,
            0.00917014293,
            0.00989969261,
            0.0106292414,
            0.011358791,
            0.0120883407,
            0.0128178904,
            0.0135474401,
            0.0142769897,
            0.0150065394,
            0.0157360882,
            0.0164656378,
            0.0171951875,
            0.0179247372,
            0.0186542869,
            0.0193838365,
            0.0201133862,
            0.0208429359,
            0.0215724856,
            0.0223020352,
            0.0230315849,
            0.0237611346,
            0.0244906843,
            0.0252202339,
            0.0264093429,
            0.0278684404,
            0.0293275397,
            0.0307866391,
            0.0322457403,
            0.0337048396,
            0.035163939,
            0.0366230384,
            0.0380821377,
            0.0395412333,
            0.0410003327,
            0.042459432,
            0.0439185314,
            0.0453776307,
            0.0468367301,
            0.0482958294,
            0.0493872836,
            0.0501168296,
            0.0508463793,
            0.0515759289,
            0.0523054786,
            0.0530350283,
            0.053764578,
            0.0544941276,
            0.0552236773,
            0.055953227,
            0.0566827767,
            0.0574123263,
            0.058141876,
            0.0588714257,
            0.0596009754,
            0.060330525,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0606924295,
            0.0599628799,
            0.0592333302,
            0.0585037805,
            0.0577742308,
            0.0570446812,
            0.0563151315,
            0.0555855818,
            0.0548560321,
            0.0541264825,
            0.0533969328,
            0.0526673831,
            0.0519378334,
            0.0512082838,
            0.0504787341,
            0.0497491844
          ],
          [
            0.0607843399,
            0.0617570728,
            0.0627298057,
            0.0637025386,
            0.0646752715,
            0.0656480044,
            0.0666207373,
            0.0675934702,
            0.0685662031,
            0.069538936,
            0.0705116689,
            0.0714844018,
            0.0724571347,
            0.0734298676,
            0.0744026005,
            0.0753753334,
            0.0763480663,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0770163387,
            0.0777458921,
            0.0784754381,
            0.0792049915,
            0.0799345374,
            0.0806640908,
            0.0813936368,
            0.0821231902,
            0.0828527361,
            0.0835822821,
            0.0843118355,
            0.0850413889,
            0.0857709348,
            0.0865004808,
            0.0872300342,
            0.0879595876,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0885053128,
            0.0892348588,
            0.0899644122,
            0.0906939581,
            0.0914235115,
            0.0921530575,
            0.0928826034,
            0.0936121568,
            0.0943417028,
            0.0950712562,
            0.0958008021,
            0.0965303555,
            0.0972599015,
            0.0979894549,
            0.0987190008,
            0.0994485542,
            0.1001781,
            0.100907654,
            0.1016372,
            0.102366753,
            0.103096299,
            0.103825852,
            0.104555398,
            0.105284952,
            0.106014498,
            0.106744051,
            0.107473597,
            0.10820315,
            0.108932696,
            0.10966225,
            0.110391796,
            0.111121349,
            0.111850895,
            0.112580448,
            0.113309994,
            0.114039548,
            0.114769094,
            0.115498647,
            0.116228193,
            0.116957746,
            0.117687292,
            0.118416846,
            0.119146392,
            0.119875938,
            0.120605491,
            0.121335045,
            0.12206459,
            0.122794136,
            0.12352369,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.124249406,
            0.125222147,
            0.126194879,
            0.127167612,
            0.128140345,
            0.129113078,
            0.130085811,
            0.131058544,
            0.132031277,
            0.13300401,
            0.133976743,
            0.134949476,
            0.135922208,
            0.136894941,
            0.137867674,
            0.138840407,
            0.139663771,
            0.140393332,
            0.141122878,
            0.141852424,
            0.142581969,
            0.14331153,
            0.144041076,
            0.144770622,
            0.145500168,
            0.146229729,
            0.146959275,
            0.147688821,
            0.148418367,
            0.149147928,
            0.149877474,
            0.15060702,
            0.151692733,
            0.153151825,
            0.154610932,
            0.156070024,
            0.157529131,
            0.158988222,
            0.160447329,
            0.161906421,
            0.163365528,
            0.16482462,
            0.166283727,
            0.167742819,
            0.169201925,
            0.170661017,
            0.172120124,
            0.173579216,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174590245,
            0.175319791,
            0.176049352,
            0.176778898,
            0.177508444,
            0.17823799,
            0.17896755,
            0.179697096,
            0.180426642,
            0.181156188,
            0.181885749,
            0.182615295,
            0.183344841,
            0.184074387,
            0.184803933,
            0.185533494,
            0.18626304,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185648382,
            0.184918836,
            0.184189275,
            0.183459729,
            0.182730183,
            0.182000637,
            0.181271076,
            0.18054153,
            0.179811984,
            0.179082438,
            0.178352877,
            0.177623332,
            0.176893786,
            0.17616424,
            0.175434679,
            0.174705133,
            0.173975587,
            0.173246041,
            0.172516495,
            0.171786949,
            0.171057403,
            0.170327857,
            0.169598311,
            0.168868765,
            0.168139219,
            0.167409673,
            0.166680127,
            0.165950581,
            0.165221035,
            0.16449149,
            0.163761944,
            0.163032398,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162044346,
            0.16058524,
            0.159126148,
            0.157667041,
            0.156207934,
            0.154748827,
            0.153289735,
            0.151830629,
            0.150371522,
            0.14891243,
            0.147453323,
            0.145994216,
            0.144535109,
            0.143076017,
            0.141616911,
            0.140157804,
            0.138612539,
            0.13691026,
            0.135207966,
            0.133505687,
            0.131803408,
            0.130101129,
            0.128398836,
            0.126696557,
            0.124994278,
            0.123291999,
            0.121589713,
            0.119887426,
            0.118185148,
            0.116482869,
            0.114780582,
            0.113078304,
            0.111598141,
            0.110868588,
            0.110139042,
            0.109409489,
            0.108679943,
            0.107950389,
            0.107220843,
            0.10649129,
            0.105761744,
            0.105032191,
            0.104302645,
            0.103573091,
            0.102843545,
            0.102113992,
            0.101384446,
            0.100654893,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0993796214,
            0.098650068,
            0.0979205221,
            0.0971909687,
            0.0964614227,
            0.0957318693,
            0.0950023234,
            0.09427277,
            0.093543224,
            0.0928136706,
            0.0920841247,
            0.0913545713,
            0.0906250253,
            0.0898954719,
            0.089165926,
            0.0884363726,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.087798737,
            0.087069191,
            0.0863396376,
            0.0856100917,
            0.0848805383,
            0.0841509923,
            0.0834214389,
            0.082691893,
            0.0819623396,
            0.0812327936,
            0.0805032402,
            0.0797736943,
            0.0790441409,
            0.0783145949,
            0.0775850415,
            0.0768554956,
            0.0760110542,
            0.0750383213,
            0.0740655884,
            0.0730928555,
            0.0721201226,
            0.0711473897,
            0.0701746568,
            0.0692019239,
            0.068229191,
            0.0672564581,
            0.0662837252,
            0.0653109923,
            0.0643382594,
            0.0633655265,
            0.0623927936,
            0.0614200607,
            0.0605315827,
            0.059802033,
            0.0590724833,
            0.0583429337,
            0.057613384,
            0.0568838343,
            0.0561542846,
            0.055424735,
            0.0546951853,
            0.0539656356,
            0.0532360859,
            0.0525065362,
            0.0517769866,
            0.0510474369,
            0.0503178872,
            0.0495883375,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0495423824,
            0.050271932,
            0.0510014817,
            0.0517310314,
            0.0524605811,
            0.0531901307,
            0.0539196804,
            0.0546492301,
            0.0553787798,
            0.0561083294,
            0.0568378791,
            0.0575674288,
            0.0582969785,
            0.0590265281,
            0.0597560778,
            0.0604856275,
            0.0613587871,
            0.06233152,
            0.0633042529,
            0.0642769858,
            0.0652497187,
            0.0662224516,
            0.0671951845,
            0.0681679174,
            0.0691406503,
            0.0701133832,
            0.0710861161,
            0.072058849,
            0.0730315819,
            0.0740043148,
            0.0749770477,
            0.0759497806,
            0.0768095404,
            0.0775390863,
            0.0782686397,
            0.0789981857,
            0.0797277391,
            0.080457285,
            0.0811868384,
            0.0819163844,
            0.0826459378,
            0.0833754838,
            0.0841050372,
            0.0848345831,
            0.0855641365,
            0.0862936825,
            0.0870232284,
            0.0877527818,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0881721303,
            0.0874425769,
            0.0867130309,
            0.0859834775,
            0.0852539316,
            0.0845243782,
            0.0837948322,
            0.0830652788,
            0.0823357329,
            0.0816061795,
            0.0808766335,
            0.0801470876,
            0.0794175342,
            0.0786879808,
            0.0779584348,
            0.0772288889,
            0.0764993355,
            0.0755361766,
            0.0745634437,
            0.0735907108,
            0.0726179779,
            0.071645245,
            0.0706725121,
            0.0696997792,
            0.0687270463,
            0.0677543133,
            0.0667815804,
            0.0658088475,
            0.0648361146,
            0.0638633817,
            0.0628906488,
            0.0619179159,
            0.0609451868,
            0.0601754263,
            0.0594458766,
            0.058716327,
            0.0579867773,
            0.0572572276,
            0.0565276779,
            0.0557981282,
            0.0550685786,
            0.0543390289,
            0.0536094792,
            0.0528799295,
            0.0521503799,
            0.0514208302,
            0.0506912805,
            0.0499617308,
            0.0492321812,
            0.0479856282,
            0.0465265289,
            0.0450674295,
            0.0436083302,
            0.0421492308,
            0.0406901315,
            0.0392310321,
            0.0377719328,
            0.0363128334,
            0.0348537341,
            0.0333946347,
            0.0319355354,
            0.0304764379,
            0.0290173385,
            0.0275582392,
            0.0260991398,
            0.0250651333,
            0.0243355837,
            0.023606034,
            0.0228764843,
            0.0221469346,
            0.021417385,
            0.0206878353,
            0.0199582856,
            0.0192287359,
            0.0184991863,
            0.0177696366,
            0.0170400869,
            0.0163105372,
            0.0155809876,
            0.0148514379,
            0.0141218882,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0136680743,
            0.0129385246,
            0.0122089749,
            0.0114794252,
            0.0107498765,
            0.0100203268,
            0.00929077715,
            0.00856122747,
            0.00783167779,
            0.00710212812,
            0.00637257844,
            0.00564302877,
            0.00491347909,
            0.00418392941,
            0.00345437974,
            0.00272483006,
            0.00199528132,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00210442604,
            0.00283397571,
            0.00356352516,
            0.00429307483,
            0.00502262451,
            0.00575217418,
            0.00648172386,
            0.00721127307,
            0.00794082321,
            0.00867037289,
            0.00939992256,
            0.0101294713,
            0.010859021,
            0.0115885707,
            0.0123181203,
            0.01304767,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0132200047,
            0.0124904551,
            0.0117609054,
            0.0110313557,
            0.010301806,
            0.00957225636,
            0.00884270668,
            0.008113157,
            0.00738360779,
            0.00665405812,
            0.00592450844,
            0.00519495923,
            0.00446540955,
            0.00373585988,
            0.0030063102,
            0.00227676053,
            0.00237441692,
            0.00310396636,
            0.00383351604,
            0.00456306571,
            0.00529261539,
            0.00602216506,
            0.00675171427,
            0.00748126395,
            0.00821081363,
            0.0089403633,
            0.00966991298,
            0.0103994627,
            0.0111290123,
            0.011858562,
            0.0125881108,
            0.0133176604,
            0.0140472101,
            0.0147767598,
            0.0155063095,
            0.0162358582,
            0.0169654079,
            0.0176949576,
            0.0184245072,
            0.0191540569,
            0.0198836066,
            0.0206131563,
            0.0213427059,
            0.0220722556,
            0.0228018053,
            0.023531355,
            0.0242609046,
            0.0249904543,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254442692,
            0.0247147195,
            0.0239851698,
            0.0232556202,
            0.0225260705,
            0.0217965208,
            0.0210669711,
            0.0203374214,
            0.0196078718,
            0.0188783221,
            0.0181487724,
            0.0174192227,
            0.0166896731,
            0.0159601234,
            0.0152305746,
            0.014501025,
            0.0137714753,
            0.0121304672,
            0.0104281846,
            0.00872590207,
            0.00702361995,
            0.00532133784,
            0.00361905526,
            0.00191677269,
            0.00021449104,
            -0.00148779154,
            -0.00319007412,
            -0.00489235669,
            -0.00659463927,
            -0.00829692185,
            -0.00999920443,
            -0.0117014851,
            -0.0134037677,
            -0.0143171418,
            -0.0150466915,
            -0.0157762412,
            -0.0165057909,
            -0.0172353406,
            -0.0179648884,
            -0.018694438,
            -0.0194239877,
            -0.0201535374,
            -0.0208830871,
            -0.0216126367,
            -0.0223421864,
            -0.0230717361,
            -0.0238012858,
            -0.0245308354,
            -0.0252603851,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.025449954,
            -0.0247204043,
            -0.0239908546,
            -0.0232613049,
            -0.0225317553,
            -0.0218022056,
            -0.0210726559,
            -0.0203431062,
            -0.0196135566,
            -0.0188840069,
            -0.0181544572,
            -0.0174249075,
            -0.0166953579,
            -0.0159658082,
            -0.0152362594,
            -0.0145067098,
            -0.0137771601,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0143113974,
            -0.0150409471,
            -0.0157704968,
            -0.0165000465,
            -0.0172295962,
            -0.017959144,
            -0.0186886936,
            -0.0194182433,
            -0.020147793,
            -0.0208773427,
            -0.0216068923,
            -0.022336442,
            -0.0230659917,
            -0.0237955414,
            -0.0245250911,
            -0.0252546407,
            -0.0249961391,
            -0.0242665894,
            -0.0235370398,
            -0.0228074901,
            -0.0220779404,
            -0.0213483907,
            -0.0206188411,
            -0.0198892914,
            -0.0191597417,
            -0.018430192,
            -0.0177006423,
            -0.0169710927,
            -0.016241543,
            -0.0155119943,
            -0.0147824446,
            -0.0140528949,
            -0.012787194,
            -0.0110849114,
            -0.00938262884,
            -0.00768034672,
            -0.00597806415,
            -0.00427578203,
            -0.00257349946,
            -0.000871216878,
            0.000831065699,
            0.00253334828,
            0.00423563085,
            0.00593791157,
            0.00764019415,
            0.00934247673,
            0.0110447593,
            0.0127470419,
            0.0143459234,
            0.0158050228,
            0.0172641221,
            0.0187232215,
            0.0201823208,
            0.0216414183,
            0.0231005177,
            0.024559617,
            0.0260187164,
            0.0274778157,
            0.0289369151,
            0.0303960145,
            0.0318551138,
            0.0333142132,
            0.0347733125,
            0.0362324119,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0373238623,
            0.0387829617,
            0.040242061,
            0.0417011604,
            0.0431602597,
            0.0446193591,
            0.0460784584,
            0.0475375578,
            0.0489966571,
            0.0504557565,
            0.0519148558,
            0.0533739552,
            0.0548330545,
            0.0562921539,
            0.0577512532,
            0.0592103526,
            0.060669452,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.059623953,
            0.0581648536,
            0.0567057543,
            0.0552466549,
            0.0537875593,
            0.0523284599,
            0.0508693606,
            0.0494102612,
            0.0479511619,
            0.0464920625,
            0.0450329632,
            0.0435738638,
            0.0421147645,
            0.0406556651,
            0.0391965657,
            0.0377374664,
            0.0367666483,
            0.0360370986,
            0.0353075489,
            0.0345779993,
            0.0338484496,
            0.0331188999,
            0.0323893502,
            0.0316598006,
            0.0309302509,
            0.0302007012,
            0.0294711515,
            0.0287416019,
            0.0280120522,
            0.0272825025,
            0.0265529528,
            0.0258234031,
            0.0258865934,
            0.0266161431,
            0.0273456927,
            0.0280752424,
            0.0288047921,
            0.0295343418,
            0.0302638914,
            0.0309934411,
            0.0317229889,
            0.0324525386,
            0.0331820883,
            0.033911638,
            0.0346411876,
            0.0353707373,
            0.036100287,
            0.0368298367,
            0.0375593863,
            0.038288936,
            0.0390184857,
            0.0397480354,
            0.040477585,
            0.0412071347,
            0.0419366844,
            0.0426662341,
            0.0433957838,
            0.0441253334,
            0.0448548831,
            0.0455844328,
            0.0463139825,
            0.0470435321,
            0.0477730818,
            0.0485026315,
            0.0492321812,
            0.0499617308,
            0.0506912805,
            0.0514208302,
            0.0521503799,
            0.0528799295,
            0.0536094792,
            0.0543390289,
            0.0550685786,
            0.0557981282,
            0.0565276779,
            0.0572572276,
            0.0579867736,
            0.058716327,
            0.0594458729,
            0.0601754263,
            0.0609451868,
            0.0619179197,
            0.0628906488,
            0.0638633817,
            0.0648361146,
            0.0658088475,
            0.0667815804,
            0.0677543133,
            0.0687270463,
            0.0696997792,
            0.0706725121,
            0.071645245,
            0.0726179779,
            0.0735907108,
            0.0745634437,
            0.0755361766,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0771369711,
            0.0778665245,
            0.0785960704,
            0.0793256238,
            0.0800551698,
            0.0807847232,
            0.0815142691,
            0.0822438225,
            0.0829733685,
            0.0837029219,
            0.0844324678,
            0.0851620212,
            0.0858915672,
            0.0866211206,
            0.0873506665,
            0.0880802199,
            0.0888097659,
            0.0895393193,
            0.0902688652,
            0.0909984186,
            0.0917279646,
            0.092457518,
            0.0931870639,
            0.0939166173,
            0.0946461633,
            0.0953757167,
            0.0961052626,
            0.0968348086,
            0.097564362,
            0.0982939154,
            0.0990234613,
            0.0997530073,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.10039065,
            0.101120196,
            0.10184975,
            0.102579296,
            0.103308849,
            0.104038395,
            0.104767948,
            0.105497494,
            0.106227048,
            0.106956594,
            0.107686147,
            0.108415693,
            0.109145246,
            0.109874792,
            0.110604346,
            0.111333892,
            0.112063445,
            0.112792991,
            0.113522545,
            0.11425209,
            0.114981644,
            0.11571119,
            0.116440743,
            0.117170289,
            0.117899835,
            0.118629389,
            0.119358942,
            0.120088488,
            0.120818034,
            0.121547587,
            0.122277141,
            0.123006687,
            0.123322636,
            0.122593082,
            0.121863537,
            0.121133983,
            0.120404437,
            0.119674884,
            0.118945338,
            0.118215784,
            0.117486238,
            0.116756685,
            0.116027139,
            0.115297586,
            0.11456804,
            0.113838486,
            0.11310894,
            0.112379387,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.112425342,
            0.113154896,
            0.113884442,
            0.114613995,
            0.115343541,
            0.116073094,
            0.11680264,
            0.117532194,
            0.11826174,
            0.118991293,
            0.119720839,
            0.120450392,
            0.121179938,
            0.121909492,
            0.122639038,
            0.123368591,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.124165155,
            0.125137895,
            0.126110628,
            0.127083361,
            0.128056094,
            0.129028827,
            0.13000156,
            0.130974293,
            0.131947026,
            0.132919759,
            0.133892491,
            0.134865224,
            0.135837957,
            0.13681069,
            0.137783423,
            0.138756156,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.138746575,
            0.137044296,
            0.135342017,
            0.133639723,
            0.131937444,
            0.130235165,
            0.128532887,
            0.126830593,
            0.125128314,
            0.123426035,
            0.121723749,
            0.12002147,
            0.118319184,
            0.116616905,
            0.114914626,
            0.11321234,
            0.111655585,
            0.110926032,
            0.110196486,
            0.109466933,
            0.108737387,
            0.108007833,
            0.107278287,
            0.106548734,
            0.105819188,
            0.105089635,
            0.104360089,
            0.103630535,
            0.102900989,
            0.102171436,
            0.10144189,
            0.100712344,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100562982,
            0.101292536,
            0.102022082,
            0.102751635,
            0.103481181,
            0.104210734,
            0.10494028,
            0.105669834,
            0.10639938,
            0.107128933,
            0.107858479,
            0.108588025,
            0.109317578,
            0.110047132,
            0.110776678,
            0.111506224,
            0.111293681,
            0.110564135,
            0.109834582,
            0.109105036,
            0.108375482,
            0.107645936,
            0.106916383,
            0.106186837,
            0.105457284,
            0.104727738,
            0.103998184,
            0.103268638,
            0.102539085,
            0.101809539,
            0.101079985,
            0.10035044,
            0.0996208861,
            0.0988913402,
            0.0981617868,
            0.0974322408,
            0.0967026874,
            0.0959731415,
            0.0952435881,
            0.0945140421,
            0.0937844887,
            0.0930549428,
            0.0923253894,
            0.0915958434,
            0.09086629,
            0.0901367441,
            0.0894071907,
            0.0886776447,
            0.0875651315,
            0.0858628452,
            0.0841605663,
            0.08245828,
            0.0807560012,
            0.0790537149,
            0.077351436,
            0.0756491497,
            0.0739468709,
            0.0722445846,
            0.0705423057,
            0.0688400269,
            0.0671377406,
            0.0654354542,
            0.0637331754,
            0.0620308928,
            0.0605890267,
            0.059859477,
            0.0591299273,
            0.0584003776,
            0.057670828,
            0.0569412783,
            0.0562117286,
            0.0554821789,
            0.0547526293,
            0.0540230796,
            0.0532935336,
            0.0525639802,
            0.0518344343,
            0.0511048809,
            0.0503753349,
            0.0496457815,
            0.0489162356,
            0.0481866859,
            0.0474571362,
            0.0467275865,
            0.0459980369,
            0.0452684872,
            0.0445389375,
            0.0438093878,
            0.0430798382,
            0.0423502885,
            0.0416207388,
            0.0408911891,
            0.0401616395,
            0.0394320898,
            0.0387025401,
            0.0379729904,
            0.0372434407,
            0.0365138911,
            0.0357843414,
            0.0350547917,
            0.034325242,
            0.0335956924,
            0.0328661427,
            0.032136593,
            0.0314070433,
            0.0306774937,
            0.029947944,
            0.0292183943,
            0.0284888446,
            0.027759295,
            0.0270297453,
            0.0263001956,
            0.0255706459,
            0.0248410981,
            0.0241115484,
            0.0233819988,
            0.0226524491,
            0.0219228994,
            0.0211933497,
            0.0204638001,
            0.0197342504,
            0.0190047007,
            0.018275151,
            0.0175456014,
            0.0168160517,
            0.0160865039,
            0.0153569533,
            0.0146274036,
            0.0138978539,
            0.0131683042,
            0.0124387546,
            0.0117092049,
            0.0109796552,
            0.0102501055,
            0.00952055678,
            0.0087910071,
            0.00806145743,
            0.00733190728,
            0.00660235807,
            0.0058728084,
            0.00514325872,
            0.00441370904,
            0.00368415937,
            0.00295460969,
            0.00222506002,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00260419631,
            0.00333374599,
            0.0040632952,
            0.00479284488,
            0.00552239455,
            0.00625194423,
            0.00698149391,
            0.00771104358,
            0.00844059326,
            0.00917014293,
            0.00989969261,
            0.0106292414,
            0.011358791,
            0.0120883407,
            0.0128178904,
            0.0135474401,
            0.0142769897,
            0.0150065394,
            0.0157360882,
            0.0164656378,
            0.0171951875,
            0.0179247372,
            0.0186542869,
            0.0193838365,
            0.0201133862,
            0.0208429359,
            0.0215724856,
            0.0223020352,
            0.0230315849,
            0.0237611346,
            0.0244906843,
            0.0252202339,
            0.0264093429,
            0.0278684404,
            0.0293275397,
            0.0307866391,
            0.0322457403,
            0.0337048396,
            0.035163939,
            0.0366230384,
            0.0380821377,
            0.0395412333,
            0.0410003327,
            0.042459432,
            0.0439185314,
            0.0453776307,
            0.0468367301,
            0.0482958294,
            0.0498774797,
            0.0515797585,
            0.0532820411,
            0.0549843237,
            0.0566866063,
            0.0583888888,
            0.0600911714,
            0.061793454,
            0.0634957403,
            0.0651980191,
            0.066900298,
            0.0686025843,
            0.0703048706,
            0.0720071495,
            0.0737094283,
            0.0754117146,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135
          ],
          [
            0.0882353187,
            0.0889648646,
            0.089694418,
            0.090423964,
            0.0911535174,
            0.0918830633,
            0.0926126167,
            0.0933421627,
            0.0940717161,
            0.094801262,
            0.0955308154,
            0.0962603614,
            0.0969899148,
            0.0977194607,
            0.0984490141,
            0.0991785601,
            0.0999081135,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100361928,
            0.101091474,
            0.101821028,
            0.102550574,
            0.103280127,
            0.104009673,
            0.104739226,
            0.105468772,
            0.106198326,
            0.106927872,
            0.107657425,
            0.108386971,
            0.109116524,
            0.10984607,
            0.110575624,
            0.11130517,
            0.112394705,
            0.114096992,
            0.115799271,
            0.117501557,
            0.119203836,
            0.120906122,
            0.122608401,
            0.124310687,
            0.126012966,
            0.127715245,
            0.129417539,
            0.131119817,
            0.132822096,
            0.134524375,
            0.136226654,
            0.137928948,
            0.139393792,
            0.140123338,
            0.140852883,
            0.141582429,
            0.14231199,
            0.143041536,
            0.143771082,
            0.144500628,
            0.145230189,
            0.145959735,
            0.146689281,
            0.147418827,
            0.148148388,
            0.148877934,
            0.14960748,
            0.150337026,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150256604,
            0.149527058,
            0.148797512,
            0.148067966,
            0.147338405,
            0.146608859,
            0.145879313,
            0.145149767,
            0.144420207,
            0.143690661,
            0.142961115,
            0.142231569,
            0.141502008,
            0.140772462,
            0.140042916,
            0.13931337,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139755696,
            0.140485242,
            0.141214788,
            0.141944334,
            0.142673895,
            0.143403441,
            0.144132987,
            0.144862533,
            0.145592093,
            0.146321639,
            0.147051185,
            0.147780731,
            0.148510277,
            0.149239838,
            0.149969384,
            0.15069893,
            0.151428491,
            0.152158037,
            0.152887598,
            0.153617144,
            0.154346704,
            0.15507625,
            0.155805811,
            0.156535357,
            0.157264918,
            0.157994464,
            0.158724025,
            0.159453571,
            0.160183132,
            0.160912678,
            0.161642224,
            0.162371784,
            0.163457498,
            0.16491659,
            0.166375682,
            0.167834774,
            0.16929388,
            0.170752972,
            0.172212064,
            0.173671156,
            0.175130248,
            0.176589355,
            0.178048447,
            0.179507539,
            0.180966645,
            0.182425737,
            0.183884829,
            0.185343921,
            0.186626852,
            0.187599599,
            0.188572332,
            0.189545065,
            0.190517798,
            0.191490546,
            0.192463279,
            0.193436012,
            0.194408745,
            0.195381492,
            0.196354225,
            0.197326958,
            0.198299691,
            0.199272439,
            0.200245172,
            0.201217905,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201125994,
            0.200153261,
            0.199180514,
            0.198207781,
            0.197235048,
            0.196262315,
            0.195289582,
            0.194316834,
            0.193344101,
            0.192371368,
            0.191398636,
            0.190425888,
            0.189453155,
            0.188480422,
            0.187507689,
            0.186534941,
            0.185740292,
            0.185010746,
            0.184281185,
            0.183551639,
            0.182822093,
            0.182092547,
            0.181362987,
            0.180633441,
            0.179903895,
            0.179174349,
            0.178444803,
            0.177715242,
            0.176985696,
            0.17625615,
            0.175526604,
            0.174797043,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174159408,
            0.173429862,
            0.172700316,
            0.17197077,
            0.171241224,
            0.170511678,
            0.169782132,
            0.169052586,
            0.16832304,
            0.167593494,
            0.166863948,
            0.166134402,
            0.165404856,
            0.16467531,
            0.163945764,
            0.163216218,
            0.162228167,
            0.160769075,
            0.159309968,
            0.157850862,
            0.156391755,
            0.154932663,
            0.153473556,
            0.152014449,
            0.150555342,
            0.149096251,
            0.147637144,
            0.146178037,
            0.144718945,
            0.143259838,
            0.141800731,
            0.140341625,
            0.138993591,
            0.138020858,
            0.137048125,
            0.136075392,
            0.135102659,
            0.134129927,
            0.133157194,
            0.132184461,
            0.131211728,
            0.130238995,
            0.129266262,
            0.128293529,
            0.127320796,
            0.126348063,
            0.12537533,
            0.124402598,
            0.123454757,
            0.122725204,
            0.121995658,
            0.121266104,
            0.120536558,
            0.119807005,
            0.119077459,
            0.118347906,
            0.11761836,
            0.116888806,
            0.11615926,
            0.115429714,
            0.114700161,
            0.113970608,
            0.113241062,
            0.112511516,
            0.111781962,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111328147,
            0.110598601,
            0.109869048,
            0.109139502,
            0.108409949,
            0.107680403,
            0.106950849,
            0.106221303,
            0.10549175,
            0.104762204,
            0.104032651,
            0.103303105,
            0.102573551,
            0.101844005,
            0.101114452,
            0.100384906,
            0.0993106887,
            0.0978515893,
            0.09639249,
            0.0949333906,
            0.0934742913,
            0.0920151919,
            0.0905560926,
            0.0890969932,
            0.0876378939,
            0.0861787945,
            0.0847196952,
            0.0832605958,
            0.0818014964,
            0.0803423971,
            0.0788832977,
            0.0774241984,
            0.0761336014,
            0.0751608685,
            0.0741881356,
            0.0732154027,
            0.0722426698,
            0.0712699369,
            0.070297204,
            0.0693244711,
            0.0683517456,
            0.0673790127,
            0.0664062798,
            0.0654335469,
            0.064460814,
            0.0634880811,
            0.0625153482,
            0.0615426116,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607154071,
            0.0599858575,
            0.0592563078,
            0.0585267581,
            0.0577972084,
            0.0570676588,
            0.0563381091,
            0.0556085594,
            0.0548790097,
            0.05414946,
            0.0534199104,
            0.0526903607,
            0.051960811,
            0.0512312613,
            0.0505017117,
            0.049772162,
            0.0490426123,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0495423824,
            0.050271932,
            0.0510014817,
            0.0517310314,
            0.0524605811,
            0.0531901307,
            0.0539196804,
            0.0546492301,
            0.0553787798,
            0.0561083294,
            0.0568378791,
            0.0575674288,
            0.0582969785,
            0.0590265281,
            0.0597560778,
            0.0604856275,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.06123624,
            0.0622089729,
            0.0631817058,
            0.0641544387,
            0.0651271716,
            0.0660999045,
            0.0670726374,
            0.0680453703,
            0.0690181032,
            0.0699908361,
            0.070963569,
            0.0719363019,
            0.0729090348,
            0.0738817677,
            0.0748545006,
            0.0758272335,
            0.07671763,
            0.077447176,
            0.0781767219,
            0.0789062753,
            0.0796358213,
            0.0803653747,
            0.0810949206,
            0.081824474,
            0.08255402,
            0.0832835734,
            0.0840131193,
            0.0847426727,
            0.0854722187,
            0.0862017721,
            0.086931318,
            0.0876608714,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0881721303,
            0.0874425769,
            0.0867130309,
            0.0859834775,
            0.0852539316,
            0.0845243782,
            0.0837948322,
            0.0830652788,
            0.0823357329,
            0.0816061795,
            0.0808766335,
            0.0801470876,
            0.0794175342,
            0.0786879808,
            0.0779584348,
            0.0772288889,
            0.0764993355,
            0.0755361766,
            0.0745634437,
            0.0735907108,
            0.0726179779,
            0.071645245,
            0.0706725121,
            0.0696997792,
            0.0687270463,
            0.0677543133,
            0.0667815804,
            0.0658088475,
            0.0648361146,
            0.0638633817,
            0.0628906488,
            0.0619179159,
            0.0609451868,
            0.059566509,
            0.0581074096,
            0.0566483103,
            0.0551892109,
            0.0537301116,
            0.0522710122,
            0.0508119129,
            0.0493528135,
            0.0478937179,
            0.0464346185,
            0.0449755192,
            0.0435164198,
            0.0420573205,
            0.0405982211,
            0.0391391218,
            0.0376800224,
            0.0367379263,
            0.0360083766,
            0.035278827,
            0.0345492773,
            0.0338197276,
            0.0330901779,
            0.0323606282,
            0.0316310786,
            0.0309015289,
            0.0301719792,
            0.0294424295,
            0.0287128799,
            0.0279833302,
            0.0272537805,
            0.0265242308,
            0.0257946812,
            0.0250651333,
            0.0243355837,
            0.023606034,
            0.0228764843,
            0.0221469346,
            0.021417385,
            0.0206878353,
            0.0199582856,
            0.0192287359,
            0.0184991863,
            0.0177696366,
            0.0170400869,
            0.0163105372,
            0.0155809876,
            0.0148514379,
            0.0141218882,
            0.0133923395,
            0.0126627898,
            0.0119332401,
            0.0112036904,
            0.0104741408,
            0.00974459108,
            0.0090150414,
            0.00828549173,
            0.00755594252,
            0.00682639284,
            0.00609684316,
            0.00536729395,
            0.00463774428,
            0.0039081946,
            0.00317864493,
            0.00244909525,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00164678216,
            0.00067404937,
            -0.000298683532,
            -0.0012714162,
            -0.00224414887,
            -0.00321688177,
            -0.00418961467,
            -0.00516234711,
            -0.00613508001,
            -0.00710781291,
            -0.00808054581,
            -0.00905327871,
            -0.0100260116,
            -0.0109987445,
            -0.0119714765,
            -0.0129442094,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.012806342,
            -0.0118336091,
            -0.0108608762,
            -0.00988814421,
            -0.00891541131,
            -0.00794267841,
            -0.00696994551,
            -0.0059972126,
            -0.0050244797,
            -0.0040517468,
            -0.0030790139,
            -0.002106281,
            -0.0011335481,
            -0.000160816126,
            0.000811916776,
            0.00178464968,
            0.00255824043,
            0.00328778988,
            0.00401733955,
            0.00474688923,
            0.00547643891,
            0.00620598858,
            0.00693553779,
            0.00766508747,
            0.00839463715,
            0.00912418682,
            0.0098537365,
            0.0105832862,
            0.0113128358,
            0.0120423855,
            0.0127719343,
            0.0135014839,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0139552988,
            0.0146848485,
            0.0154143982,
            0.0161439478,
            0.0168734975,
            0.0176030472,
            0.0183325969,
            0.0190621465,
            0.0197916962,
            0.0205212459,
            0.0212507956,
            0.0219803452,
            0.0227098949,
            0.0234394446,
            0.0241689924,
            0.0248985421,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254442692,
            0.0247147195,
            0.0239851698,
            0.0232556202,
            0.0225260705,
            0.0217965208,
            0.0210669711,
            0.0203374214,
            0.0196078718,
            0.0188783221,
            0.0181487724,
            0.0174192227,
            0.0166896731,
            0.0159601234,
            0.0152305746,
            0.014501025,
            0.0137714753,
            0.0121304672,
            0.0104281846,
            0.00872590207,
            0.00702361995,
            0.00532133784,
            0.00361905526,
            0.00191677269,
            0.00021449104,
            -0.00148779154,
            -0.00319007412,
            -0.00489235669,
            -0.00659463927,
            -0.00829692185,
            -0.00999920443,
            -0.0117014851,
            -0.0134037677,
            -0.0143171418,
            -0.0150466915,
            -0.0157762412,
            -0.0165057909,
            -0.0172353406,
            -0.0179648884,
            -0.018694438,
            -0.0194239877,
            -0.0201535374,
            -0.0208830871,
            -0.0216126367,
            -0.0223421864,
            -0.0230717361,
            -0.0238012858,
            -0.0245308354,
            -0.0252603851,
            -0.0259899348,
            -0.0267194845,
            -0.0274490342,
            -0.0281785838,
            -0.0289081335,
            -0.0296376832,
            -0.0303672329,
            -0.0310967825,
            -0.0318263322,
            -0.0325558819,
            -0.0332854316,
            -0.0340149812,
            -0.0347445309,
            -0.0354740806,
            -0.0362036303,
            -0.0369331799,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0367608443,
            -0.0360312946,
            -0.0353017449,
            -0.0345721953,
            -0.0338426456,
            -0.0331130959,
            -0.0323835462,
            -0.0316539966,
            -0.0309244469,
            -0.0301948972,
            -0.0294653475,
            -0.0287357979,
            -0.0280062482,
            -0.0272766985,
            -0.0265471488,
            -0.0258175991,
            -0.0245518982,
            -0.0228496157,
            -0.0211473331,
            -0.0194450524,
            -0.0177427698,
            -0.0160404872,
            -0.0143382046,
            -0.0126359221,
            -0.0109336395,
            -0.0092313569,
            -0.00752907433,
            -0.00582679361,
            -0.00412451103,
            -0.00242222846,
            -0.000719945878,
            0.0009823367,
            0.00258121826,
            0.00404031761,
            0.00549941696,
            0.00695851585,
            0.00841761567,
            0.00987671409,
            0.0113358134,
            0.0127949128,
            0.0142540121,
            0.0157131106,
            0.0171722099,
            0.0186313093,
            0.0200904086,
            0.021549508,
            0.0230086073,
            0.0244677067,
            0.0257085152,
            0.0264380649,
            0.0271676145,
            0.0278971642,
            0.0286267139,
            0.0293562636,
            0.0300858133,
            0.0308153629,
            0.0315449126,
            0.0322744623,
            0.033004012,
            0.0337335616,
            0.0344631076,
            0.035192661,
            0.0359222069,
            0.0366517603,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372893959,
            0.0380189456,
            0.0387484953,
            0.039478045,
            0.0402075946,
            0.0409371443,
            0.041666694,
            0.0423962437,
            0.0431257933,
            0.043855343,
            0.0445848927,
            0.0453144424,
            0.046043992,
            0.0467735417,
            0.0475030914,
            0.0482326411,
            0.0489621907,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0484394431,
            0.0477098934,
            0.0469803438,
            0.0462507941,
            0.0455212444,
            0.0447916947,
            0.0440621451,
            0.0433325954,
            0.0426030457,
            0.041873496,
            0.0411439463,
            0.0404143967,
            0.039684847,
            0.0389552973,
            0.0382257476,
            0.037496198,
            0.0367666483,
            0.0360370986,
            0.0353075489,
            0.0345779993,
            0.0338484496,
            0.0331188999,
            0.0323893502,
            0.0316598006,
            0.0309302509,
            0.0302007012,
            0.0294711515,
            0.0287416019,
            0.0280120522,
            0.0272825025,
            0.0265529528,
            0.0258234031,
            0.0258865934,
            0.0266161431,
            0.0273456927,
            0.0280752424,
            0.0288047921,
            0.0295343418,
            0.0302638914,
            0.0309934411,
            0.0317229889,
            0.0324525386,
            0.0331820883,
            0.033911638,
            0.0346411876,
            0.0353707373,
            0.036100287,
            0.0368298367,
            0.0375593863,
            0.038288936,
            0.0390184857,
            0.0397480354,
            0.040477585,
            0.0412071347,
            0.0419366844,
            0.0426662341,
            0.0433957838,
            0.0441253334,
            0.0448548831,
            0.0455844328,
            0.0463139825,
            0.0470435321,
            0.0477730818,
            0.0485026315,
            0.0492321812,
            0.0499617308,
            0.0506912805,
            0.0514208302,
            0.0521503799,
            0.0528799295,
            0.0536094792,
            0.0543390289,
            0.0550685786,
            0.0557981282,
            0.0565276779,
            0.0572572276,
            0.0579867736,
            0.058716327,
            0.0594458729,
            0.0601754263,
            0.0609451868,
            0.0619179197,
            0.0628906488,
            0.0638633817,
            0.0648361146,
            0.0658088475,
            0.0667815804,
            0.0677543133,
            0.0687270463,
            0.0696997792,
            0.0706725121,
            0.071645245,
            0.0726179779,
            0.0735907108,
            0.0745634437,
            0.0755361766,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0771369711,
            0.0778665245,
            0.0785960704,
            0.0793256238,
            0.0800551698,
            0.0807847232,
            0.0815142691,
            0.0822438225,
            0.0829733685,
            0.0837029219,
            0.0844324678,
            0.0851620212,
            0.0858915672,
            0.0866211206,
            0.0873506665,
            0.0880802199,
            0.0888097659,
            0.0895393193,
            0.0902688652,
            0.0909984186,
            0.0917279646,
            0.092457518,
            0.0931870639,
            0.0939166173,
            0.0946461633,
            0.0953757167,
            0.0961052626,
            0.0968348086,
            0.097564362,
            0.0982939154,
            0.0990234613,
            0.0997530073,
            0.100482561,
            0.101212107,
            0.10194166,
            0.102671206,
            0.103400759,
            0.104130305,
            0.104859859,
            0.105589405,
            0.106318958,
            0.107048504,
            0.107778057,
            0.108507603,
            0.109237157,
            0.109966703,
            0.110696256,
            0.111425802,
            0.112155356,
            0.112884901,
            0.113614455,
            0.114344001,
            0.115073554,
            0.1158031,
            0.116532654,
            0.1172622,
            0.117991753,
            0.118721299,
            0.119450852,
            0.120180398,
            0.120909952,
            0.121639498,
            0.122369051,
            0.123098597,
            0.12392772,
            0.124900453,
            0.125873178,
            0.126845911,
            0.127818644,
            0.128791377,
            0.12976411,
            0.130736843,
            0.131709576,
            0.132682309,
            0.133655041,
            0.134627774,
            0.135600507,
            0.13657324,
            0.137545973,
            0.138518706,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139876321,
            0.140605867,
            0.141335428,
            0.142064974,
            0.14279452,
            0.143524066,
            0.144253626,
            0.144983172,
            0.145712718,
            0.146442264,
            0.147171825,
            0.147901371,
            0.148630917,
            0.149360463,
            0.150090024,
            0.15081957,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150595531,
            0.149865985,
            0.149136439,
            0.148406878,
            0.147677332,
            0.146947786,
            0.14621824,
            0.145488679,
            0.144759133,
            0.144029588,
            0.143300042,
            0.142570481,
            0.141840935,
            0.141111389,
            0.140381843,
            0.139652282,
            0.138825089,
            0.137852356,
            0.136879623,
            0.13590689,
            0.134934157,
            0.133961424,
            0.132988691,
            0.132015958,
            0.131043226,
            0.130070493,
            0.12909776,
            0.128125027,
            0.127152294,
            0.126179561,
            0.125206828,
            0.124234095,
            0.123127319,
            0.12166822,
            0.12020912,
            0.118750021,
            0.117290922,
            0.115831822,
            0.114372723,
            0.112913623,
            0.111454524,
            0.109995425,
            0.108536325,
            0.107077226,
            0.105618134,
            0.104159027,
            0.102699935,
            0.101240829,
            0.0998908803,
            0.0991613269,
            0.0984317809,
            0.0977022275,
            0.0969726816,
            0.0962431282,
            0.0955135822,
            0.0947840288,
            0.0940544829,
            0.0933249295,
            0.0925953835,
            0.0918658301,
            0.0911362842,
            0.0904067308,
            0.0896771848,
            0.0889476389,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0887982771,
            0.0895278305,
            0.0902573764,
            0.0909869298,
            0.0917164758,
            0.0924460292,
            0.0931755751,
            0.0939051285,
            0.0946346745,
            0.0953642279,
            0.0960937738,
            0.0968233198,
            0.0975528732,
            0.0982824266,
            0.0990119725,
            0.0997415185,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0996208861,
            0.0988913402,
            0.0981617868,
            0.0974322408,
            0.0967026874,
            0.0959731415,
            0.0952435881,
            0.0945140421,
            0.0937844887,
            0.0930549428,
            0.0923253894,
            0.0915958434,
            0.09086629,
            0.0901367441,
            0.0894071907,
            0.0886776447,
            0.0879480913,
            0.0872185454,
            0.086488992,
            0.085759446,
            0.0850298926,
            0.0843003467,
            0.0835707933,
            0.0828412473,
            0.0821117014,
            0.081382148,
            0.0806525946,
            0.0799230486,
            0.0791935027,
            0.0784639493,
            0.0777344033,
            0.0770048499,
            0.0762101933,
            0.0752374604,
            0.074264735,
            0.0732920021,
            0.0723192692,
            0.0713465363,
            0.0703738034,
            0.0694010705,
            0.0684283376,
            0.0674556047,
            0.0664828718,
            0.0655101389,
            0.064537406,
            0.0635646731,
            0.0625919402,
            0.0616192073,
            0.0606809407,
            0.0599513911,
            0.0592218414,
            0.0584922917,
            0.057762742,
            0.0570331924,
            0.0563036427,
            0.055574093,
            0.0548445433,
            0.0541149937,
            0.053385444,
            0.0526558943,
            0.0519263446,
            0.051196795,
            0.0504672453,
            0.0497376956,
            0.0490081459,
            0.0482785963,
            0.0475490466,
            0.0468194969,
            0.0460899472,
            0.0453603975,
            0.0446308479,
            0.0439012982,
            0.0431717485,
            0.0424421988,
            0.0417126492,
            0.0409830995,
            0.0402535498,
            0.0395240001,
            0.0387944505,
            0.0380649008,
            0.0373353511,
            0.0366058014,
            0.0358762518,
            0.0351467021,
            0.0344171524,
            0.0336876027,
            0.0329580531,
            0.0322285071,
            0.0314989537,
            0.0307694059,
            0.0300398562,
            0.0293103065,
            0.0285807569,
            0.027851209,
            0.0271216594,
            0.0263921097,
            0.02566256,
            0.0249330085,
            0.0242034607,
            0.023473911,
            0.0227443613,
            0.0220148116,
            0.021285262,
            0.0205557123,
            0.0198261626,
            0.0190966129,
            0.0183670633,
            0.0176375136,
            0.0169079639,
            0.0161784142,
            0.0154488645,
            0.0147193149,
            0.0139897652,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.014368901,
            0.0150984507,
            0.0158280004,
            0.0165575501,
            0.0172870997,
            0.0180166494,
            0.0187461991,
            0.0194757488,
            0.0202052984,
            0.0209348481,
            0.0216643978,
            0.0223939456,
            0.0231234953,
            0.023853045,
            0.0245825946,
            0.0253121443,
            0.026041694,
            0.0267712437,
            0.0275007933,
            0.028230343,
            0.0289598927,
            0.0296894424,
            0.030418992,
            0.0311485417,
            0.0318780914,
            0.0326076411,
            0.0333371907,
            0.0340667404,
            0.0347962901,
            0.0355258398,
            0.0362553895,
            0.0369849391,
            0.0377144888,
            0.0384440385,
            0.0391735882,
            0.0399031378,
            0.0406326875,
            0.0413622372,
            0.0420917869,
            0.0428213365,
            0.0435508862,
            0.0442804359,
            0.0450099856,
            0.0457395315,
            0.0464690849,
            0.0471986309,
            0.0479281843,
            0.0486577302,
            0.0498774797,
            0.0515797585,
            0.0532820411,
            0.0549843237,
            0.0566866063,
            0.0583888888,
            0.0600911714,
            0.061793454,
            0.0634957403,
            0.0651980191,
            0.066900298,
            0.0686025843,
            0.0703048706,
            0.0720071495,
            0.0737094283,
            0.0754117146,
            0.076746352,
            0.077475898,
            0.0782054514,
            0.0789349973,
            0.0796645433,
            0.0803940967,
            0.0811236501,
            0.081853196,
            0.082582742,
            0.0833122954,
            0.0840418413,
            0.0847713947,
            0.0855009407,
            0.0862304941,
            0.08696004,
            0.0876895934,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187
          ],
          [
            0.100000024,
            0.101459123,
            0.102918223,
            0.104377322,
            0.105836421,
            0.107295521,
            0.10875462,
            0.110213719,
            0.111672819,
            0.113131918,
            0.114591017,
            0.116050117,
            0.117509216,
            0.118968315,
            0.120427415,
            0.121886514,
            0.123345613,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.124011971,
            0.124984704,
            0.125957429,
            0.126930162,
            0.127902895,
            0.128875628,
            0.129848361,
            0.130821094,
            0.131793827,
            0.13276656,
            0.133739293,
            0.134712026,
            0.135684758,
            0.136657491,
            0.137630224,
            0.138602957,
            0.139755696,
            0.141214788,
            0.142673895,
            0.144133002,
            0.145592108,
            0.1470512,
            0.148510307,
            0.149969414,
            0.151428521,
            0.152887613,
            0.154346719,
            0.155805826,
            0.157264918,
            0.158724025,
            0.160183132,
            0.161642238,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162021369,
            0.161291823,
            0.160562262,
            0.159832716,
            0.159103155,
            0.158373609,
            0.157644048,
            0.156914502,
            0.156184942,
            0.155455396,
            0.154725835,
            0.153996289,
            0.153266728,
            0.152537182,
            0.151807621,
            0.151078075,
            0.151612312,
            0.152341858,
            0.153071418,
            0.153800964,
            0.154530525,
            0.155260071,
            0.155989632,
            0.156719178,
            0.157448739,
            0.158178285,
            0.158907846,
            0.159637392,
            0.160366952,
            0.161096498,
            0.161826059,
            0.162555605,
            0.163285151,
            0.164014697,
            0.164744243,
            0.165473789,
            0.166203335,
            0.166932881,
            0.167662427,
            0.168391973,
            0.169121519,
            0.169851065,
            0.170580611,
            0.171310157,
            0.172039703,
            0.172769248,
            0.173498794,
            0.17422834,
            0.174957886,
            0.175687447,
            0.176416993,
            0.177146539,
            0.177876085,
            0.178605646,
            0.179335192,
            0.180064738,
            0.180794284,
            0.181523845,
            0.182253391,
            0.182982937,
            0.183712482,
            0.184442043,
            0.185171589,
            0.185901135,
            0.186749414,
            0.187722147,
            0.188694879,
            0.189667612,
            0.19064036,
            0.191613093,
            0.192585826,
            0.193558559,
            0.194531292,
            0.19550404,
            0.196476772,
            0.197449505,
            0.198422253,
            0.199394986,
            0.200367719,
            0.201340452,
            0.202225104,
            0.20295465,
            0.203684196,
            0.204413742,
            0.205143288,
            0.205872834,
            0.20660238,
            0.207331926,
            0.208061472,
            0.208791018,
            0.209520563,
            0.210250109,
            0.210979655,
            0.211709201,
            0.212438747,
            0.213168293,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213645086,
            0.21291554,
            0.212185994,
            0.211456448,
            0.210726902,
            0.209997356,
            0.20926781,
            0.208538264,
            0.207808718,
            0.207079172,
            0.206349626,
            0.20562008,
            0.204890534,
            0.204160988,
            0.203431442,
            0.202701896,
            0.20197235,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201248541,
            0.200275809,
            0.199303076,
            0.198330328,
            0.197357595,
            0.196384862,
            0.195412129,
            0.194439381,
            0.193466648,
            0.192493916,
            0.191521183,
            0.190548435,
            0.189575702,
            0.188602969,
            0.187630236,
            0.186657488,
            0.186864302,
            0.187837034,
            0.188809767,
            0.1897825,
            0.190755248,
            0.191727981,
            0.192700714,
            0.193673447,
            0.194646195,
            0.195618927,
            0.19659166,
            0.197564393,
            0.198537141,
            0.199509874,
            0.200482607,
            0.20145534,
            0.201493636,
            0.200520903,
            0.19954817,
            0.198575437,
            0.197602689,
            0.196629956,
            0.195657223,
            0.194684491,
            0.193711758,
            0.19273901,
            0.191766277,
            0.190793544,
            0.189820796,
            0.188848063,
            0.18787533,
            0.186902598,
            0.185499027,
            0.183310375,
            0.181121722,
            0.178933084,
            0.176744431,
            0.174555779,
            0.172367126,
            0.170178488,
            0.167989835,
            0.165801182,
            0.16361253,
            0.161423892,
            0.159235239,
            0.157046586,
            0.154857934,
            0.152669296,
            0.150813818,
            0.150084272,
            0.149354726,
            0.14862518,
            0.147895619,
            0.147166073,
            0.146436527,
            0.145706981,
            0.144977421,
            0.144247875,
            0.143518329,
            0.142788783,
            0.142059222,
            0.141329676,
            0.14060013,
            0.139870584,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.138511047,
            0.137538314,
            0.136565581,
            0.135592848,
            0.134620115,
            0.133647382,
            0.132674649,
            0.131701916,
            0.130729184,
            0.129756451,
            0.128783718,
            0.127810985,
            0.126838252,
            0.125865519,
            0.124892794,
            0.123920061,
            0.123092853,
            0.122363307,
            0.121633753,
            0.120904207,
            0.120174654,
            0.119445108,
            0.118715554,
            0.117986009,
            0.117256455,
            0.116526909,
            0.115797356,
            0.11506781,
            0.114338256,
            0.11360871,
            0.112879157,
            0.112149611,
            0.111420058,
            0.110690512,
            0.109960958,
            0.109231412,
            0.108501859,
            0.107772313,
            0.10704276,
            0.106313214,
            0.10558366,
            0.104854114,
            0.104124561,
            0.103395015,
            0.102665469,
            0.101935916,
            0.101206362,
            0.100476816,
            0.0994945094,
            0.09803541,
            0.0965763107,
            0.0951172113,
            0.093658112,
            0.0921990126,
            0.0907399133,
            0.0892808139,
            0.0878217146,
            0.0863626152,
            0.0849035159,
            0.0834444165,
            0.0819853172,
            0.0805262178,
            0.0790671185,
            0.0776080191,
            0.076256156,
            0.0752834231,
            0.0743106902,
            0.0733379573,
            0.0723652244,
            0.0713924915,
            0.0704197586,
            0.0694470257,
            0.0684742928,
            0.0675015599,
            0.066528827,
            0.0655560941,
            0.0645833611,
            0.0636106282,
            0.0626378953,
            0.0616651624,
            0.0607154071,
            0.0599858575,
            0.0592563078,
            0.0585267581,
            0.0577972084,
            0.0570676588,
            0.0563381091,
            0.0556085594,
            0.0548790097,
            0.05414946,
            0.0534199104,
            0.0526903607,
            0.051960811,
            0.0512312613,
            0.0505017117,
            0.049772162,
            0.0490426123,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0502393804,
            0.051941663,
            0.0536439456,
            0.0553462282,
            0.0570485108,
            0.0587507933,
            0.0604530759,
            0.0621553585,
            0.0638576373,
            0.0655599236,
            0.0672622025,
            0.0689644888,
            0.0706667677,
            0.072369054,
            0.0740713328,
            0.0757736117,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.07671763,
            0.077447176,
            0.0781767219,
            0.0789062753,
            0.0796358213,
            0.0803653747,
            0.0810949206,
            0.081824474,
            0.08255402,
            0.0832835734,
            0.0840131193,
            0.0847426727,
            0.0854722187,
            0.0862017721,
            0.086931318,
            0.0876608714,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0881721303,
            0.0874425769,
            0.0867130309,
            0.0859834775,
            0.0852539316,
            0.0845243782,
            0.0837948322,
            0.0830652788,
            0.0823357329,
            0.0816061795,
            0.0808766335,
            0.0801470876,
            0.0794175342,
            0.0786879808,
            0.0779584348,
            0.0772288889,
            0.0764993355,
            0.0748353526,
            0.0731330663,
            0.0714307874,
            0.0697285011,
            0.0680262223,
            0.066323936,
            0.0646216571,
            0.0629193708,
            0.061217092,
            0.0595148094,
            0.0578125268,
            0.0561102442,
            0.0544079617,
            0.0527056791,
            0.0510033965,
            0.0493011139,
            0.0478018038,
            0.0463427044,
            0.0448836051,
            0.0434245057,
            0.0419654064,
            0.040506307,
            0.0390472077,
            0.0375881083,
            0.0361290127,
            0.0346699134,
            0.033210814,
            0.0317517146,
            0.0302926134,
            0.0288335141,
            0.0273744147,
            0.0259153154,
            0.0249732211,
            0.0242436714,
            0.0235141218,
            0.0227845721,
            0.0220550224,
            0.0213254727,
            0.0205959231,
            0.0198663734,
            0.0191368237,
            0.018407274,
            0.0176777244,
            0.0169481747,
            0.016218625,
            0.0154890763,
            0.0147595266,
            0.0140299769,
            0.0133004272,
            0.0125708776,
            0.0118413279,
            0.0111117782,
            0.0103822295,
            0.00965267979,
            0.00892313011,
            0.00819358043,
            0.00746403076,
            0.00673448108,
            0.00600493141,
            0.00527538173,
            0.00454583205,
            0.00381628238,
            0.0030867327,
            0.00235718302,
            0.00151657383,
            0.000543841044,
            -0.000428891741,
            -0.00140162464,
            -0.00237435754,
            -0.00334708998,
            -0.00431982288,
            -0.00529255578,
            -0.00626528822,
            -0.00723802112,
            -0.00821075402,
            -0.00918348692,
            -0.0101562198,
            -0.0111289527,
            -0.0121016856,
            -0.0130744176,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0129212318,
            -0.0119484989,
            -0.010975766,
            -0.0100030331,
            -0.00903030112,
            -0.00805756822,
            -0.00708483486,
            -0.00611210242,
            -0.00513936952,
            -0.00416663662,
            -0.00319390371,
            -0.00222117081,
            -0.00124843791,
            -0.00027570501,
            0.000697026961,
            0.00166975986,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00140168413,
            0.000428951345,
            -0.000543781556,
            -0.00151651422,
            -0.00248924689,
            -0.0034619798,
            -0.0044347127,
            -0.00540744513,
            -0.00638017803,
            -0.00735291094,
            -0.00832564384,
            -0.00929837674,
            -0.0102711096,
            -0.0112438425,
            -0.0122165745,
            -0.0131893074,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0139609836,
            -0.0146905333,
            -0.015420083,
            -0.0161496326,
            -0.0168791823,
            -0.017608732,
            -0.0183382817,
            -0.0190678313,
            -0.019797381,
            -0.0205269307,
            -0.0212564804,
            -0.02198603,
            -0.0227155797,
            -0.0234451294,
            -0.0241746791,
            -0.0249042269,
            -0.025346553,
            -0.0246170033,
            -0.0238874536,
            -0.0231579039,
            -0.0224283542,
            -0.0216988046,
            -0.0209692549,
            -0.0202397052,
            -0.0195101555,
            -0.0187806059,
            -0.0180510562,
            -0.0173215084,
            -0.0165919587,
            -0.015862409,
            -0.0151328584,
            -0.0144033087,
            -0.0137771601,
            -0.0145067098,
            -0.0152362594,
            -0.0159658082,
            -0.0166953579,
            -0.0174249075,
            -0.0181544572,
            -0.0188840069,
            -0.0196135566,
            -0.0203431062,
            -0.0210726559,
            -0.0218022056,
            -0.0225317553,
            -0.0232613049,
            -0.0239908546,
            -0.0247204043,
            -0.025449954,
            -0.0248008259,
            -0.0240712762,
            -0.0233417265,
            -0.0226121768,
            -0.0218826272,
            -0.0211530775,
            -0.0204235297,
            -0.01969398,
            -0.0189644303,
            -0.0182348806,
            -0.017505331,
            -0.0167757813,
            -0.0160462316,
            -0.0153166819,
            -0.0145871323,
            -0.0138575826,
            -0.012928891,
            -0.0119561581,
            -0.0109834252,
            -0.0100106932,
            -0.00903796032,
            -0.00806522742,
            -0.00709249452,
            -0.00611976162,
            -0.00514702871,
            -0.00417429581,
            -0.00320156291,
            -0.00222883001,
            -0.00125609711,
            -0.000283365138,
            0.000689367764,
            0.00166210067,
            0.00246632867,
            0.00319587812,
            0.00392542779,
            0.00465497747,
            0.00538452715,
            0.00611407682,
            0.00684362603,
            0.00757317571,
            0.00830272585,
            0.00903227553,
            0.0097618252,
            0.0104913739,
            0.0112209236,
            0.0119504733,
            0.012680023,
            0.0134095727,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0134038283,
            0.0126742786,
            0.0119447289,
            0.0112151792,
            0.0104856296,
            0.00975607987,
            0.00902653113,
            0.00829698145,
            0.00756743131,
            0.00683788164,
            0.00610833196,
            0.00537878275,
            0.00464923307,
            0.0039196834,
            0.00319013372,
            0.00246058404,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00209868164,
            0.00282823108,
            0.00355778076,
            0.00428733043,
            0.00501688011,
            0.00574642979,
            0.006475979,
            0.00720552867,
            0.00793507881,
            0.00866462849,
            0.00939417817,
            0.0101237269,
            0.0108532766,
            0.0115828263,
            0.0123123759,
            0.0130419256,
            0.0136795631,
            0.0129500134,
            0.0122204646,
            0.011490915,
            0.0107613653,
            0.0100318156,
            0.00930226594,
            0.00857271627,
            0.00784316659,
            0.00711361691,
            0.00638406724,
            0.00565451756,
            0.00492496789,
            0.00419541821,
            0.00346586946,
            0.00273631979,
            0.00200677011,
            0.00104935572,
            7.6622935e-5,
            -0.000896109734,
            -0.00186884264,
            -0.00284157554,
            -0.00381430797,
            -0.00478704087,
            -0.00575977378,
            -0.00673250668,
            -0.00770523958,
            -0.00867797248,
            -0.00965070538,
            -0.0106234374,
            -0.0115961703,
            -0.0125689032,
            -0.0135416361,
            -0.0149088232,
            -0.0163679235,
            -0.0178270228,
            -0.0192861222,
            -0.0207452197,
            -0.022204319,
            -0.0236634184,
            -0.0251225177,
            -0.0265816171,
            -0.0280407164,
            -0.0294998158,
            -0.0309589151,
            -0.0324180126,
            -0.033877112,
            -0.0353362113,
            -0.0367953107,
            -0.03775464,
            -0.0384841897,
            -0.0392137393,
            -0.039943289,
            -0.0406728387,
            -0.0414023884,
            -0.042131938,
            -0.0428614877,
            -0.0435910374,
            -0.0443205871,
            -0.0450501367,
            -0.0457796864,
            -0.0465092361,
            -0.0472387858,
            -0.0479683354,
            -0.0486978851,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0487036295,
            -0.0479740798,
            -0.0472445302,
            -0.0465149805,
            -0.0457854308,
            -0.0450558811,
            -0.0443263315,
            -0.0435967818,
            -0.0428672321,
            -0.0421376824,
            -0.0414081328,
            -0.0406785831,
            -0.0399490334,
            -0.0392194837,
            -0.0384899341,
            -0.0377603844,
            -0.0374789052,
            -0.0382084548,
            -0.0389380045,
            -0.0396675542,
            -0.0403971039,
            -0.0411266536,
            -0.0418562032,
            -0.0425857529,
            -0.0433153026,
            -0.0440448523,
            -0.0447744019,
            -0.0455039516,
            -0.0462335013,
            -0.046963051,
            -0.0476925969,
            -0.0484221503,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.048341725,
            -0.0476121753,
            -0.0468826257,
            -0.046153076,
            -0.0454235263,
            -0.0446939766,
            -0.043964427,
            -0.0432348773,
            -0.0425053276,
            -0.0417757779,
            -0.041046232,
            -0.0403166786,
            -0.0395871326,
            -0.0388575792,
            -0.0381280333,
            -0.0373984799,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0364506431,
            -0.0349915437,
            -0.0335324444,
            -0.032073345,
            -0.0306142457,
            -0.0291551463,
            -0.027696047,
            -0.0262369476,
            -0.0247778483,
            -0.0233187489,
            -0.0218596496,
            -0.0204005502,
            -0.0189414527,
            -0.0174823534,
            -0.016023254,
            -0.0145641547,
            -0.0130016543,
            -0.0112993717,
            -0.00959708914,
            -0.0078948075,
            -0.00619252492,
            -0.00449024234,
            -0.00278796069,
            -0.00108567812,
            0.000616604462,
            0.00231888704,
            0.00402116962,
            0.0057234522,
            0.00742573477,
            0.00912801549,
            0.0108302981,
            0.0125325806,
            0.01394381,
            0.0146733597,
            0.0154029084,
            0.016132459,
            0.0168620087,
            0.0175915584,
            0.0183211081,
            0.0190506577,
            0.0197802074,
            0.0205097552,
            0.0212393049,
            0.0219688565,
            0.0226984043,
            0.0234279539,
            0.0241575036,
            0.0248870533,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0255246907,
            0.0262542404,
            0.0269837901,
            0.0277133398,
            0.0284428895,
            0.0291724391,
            0.0299019888,
            0.0306315385,
            0.0313610882,
            0.0320906378,
            0.0328201875,
            0.0335497372,
            0.0342792869,
            0.0350088365,
            0.0357383862,
            0.0364679359,
            0.0371974856,
            0.0379270352,
            0.0386565849,
            0.0393861346,
            0.0401156843,
            0.0408452339,
            0.0415747836,
            0.0423043333,
            0.043033883,
            0.0437634289,
            0.0444929823,
            0.0452225283,
            0.0459520817,
            0.0466816276,
            0.047411181,
            0.048140727,
            0.0488702804,
            0.0484394431,
            0.0477098934,
            0.0469803438,
            0.0462507941,
            0.0455212444,
            0.0447916947,
            0.0440621451,
            0.0433325954,
            0.0426030457,
            0.041873496,
            0.0411439463,
            0.0404143967,
            0.039684847,
            0.0389552973,
            0.0382257476,
            0.037496198,
            0.0367666483,
            0.0360370986,
            0.0353075489,
            0.0345779993,
            0.0338484496,
            0.0331188999,
            0.0323893502,
            0.0316598006,
            0.0309302509,
            0.0302007012,
            0.0294711515,
            0.0287416019,
            0.0280120522,
            0.0272825025,
            0.0265529528,
            0.0258234031,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0257946812,
            0.0265242308,
            0.0272537805,
            0.0279833302,
            0.0287128799,
            0.0294424295,
            0.0301719792,
            0.0309015289,
            0.0316310786,
            0.0323606282,
            0.0330901779,
            0.0338197276,
            0.0345492773,
            0.035278827,
            0.0360083766,
            0.0367379263,
            0.037467476,
            0.0381970257,
            0.0389265753,
            0.039656125,
            0.0403856747,
            0.0411152244,
            0.041844774,
            0.0425743237,
            0.0433038734,
            0.0440334231,
            0.0447629727,
            0.0454925224,
            0.0462220684,
            0.0469516218,
            0.0476811677,
            0.0484107211,
            0.0493011139,
            0.0510033965,
            0.0527056791,
            0.0544079617,
            0.0561102442,
            0.0578125268,
            0.0595148094,
            0.061217092,
            0.0629193708,
            0.0646216571,
            0.066323936,
            0.0680262223,
            0.0697285011,
            0.0714307874,
            0.0731330663,
            0.0748353526,
            0.0764993355,
            0.0772288889,
            0.0779584348,
            0.0786879882,
            0.0794175342,
            0.0801470876,
            0.0808766335,
            0.0816061795,
            0.0823357329,
            0.0830652788,
            0.0837948322,
            0.0845243782,
            0.0852539316,
            0.0859834775,
            0.0867130309,
            0.0874425769,
            0.0881721303,
            0.0889016762,
            0.0896312296,
            0.0903607756,
            0.091090329,
            0.0918198749,
            0.0925494283,
            0.0932789743,
            0.0940085277,
            0.0947380736,
            0.095467627,
            0.096197173,
            0.0969267264,
            0.0976562724,
            0.0983858258,
            0.0991153717,
            0.0998449251,
            0.100574471,
            0.101304024,
            0.10203357,
            0.102763124,
            0.10349267,
            0.104222223,
            0.104951769,
            0.105681323,
            0.106410868,
            0.107140422,
            0.107869968,
            0.108599514,
            0.109329067,
            0.110058621,
            0.110788167,
            0.111517712,
            0.112247266,
            0.112976812,
            0.113706365,
            0.114435911,
            0.115165465,
            0.115895011,
            0.116624564,
            0.11735411,
            0.118083663,
            0.118813209,
            0.119542763,
            0.120272309,
            0.121001862,
            0.121731408,
            0.122460961,
            0.123190507,
            0.124050267,
            0.125023007,
            0.12599574,
            0.126968473,
            0.127941191,
            0.128913939,
            0.129886657,
            0.13085939,
            0.131832123,
            0.132804856,
            0.133777589,
            0.134750322,
            0.135723054,
            0.136695787,
            0.13766852,
            0.138641253,
            0.139514416,
            0.140243977,
            0.140973523,
            0.141703069,
            0.142432615,
            0.143162176,
            0.143891722,
            0.144621268,
            0.145350814,
            0.146080375,
            0.146809921,
            0.147539467,
            0.148269013,
            0.148998559,
            0.149728119,
            0.150457665,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151003391,
            0.151732951,
            0.152462497,
            0.153192043,
            0.153921604,
            0.154651165,
            0.155380711,
            0.156110257,
            0.156839818,
            0.157569364,
            0.158298925,
            0.159028471,
            0.159758031,
            0.160487577,
            0.161217138,
            0.161946684,
            0.162676245,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162268385,
            0.161538824,
            0.160809278,
            0.160079718,
            0.159350172,
            0.158620611,
            0.157891065,
            0.157161504,
            0.156431958,
            0.155702397,
            0.154972851,
            0.15424329,
            0.153513744,
            0.152784184,
            0.152054638,
            0.151325077,
            0.150595531,
            0.149865985,
            0.149136439,
            0.148406878,
            0.147677332,
            0.146947786,
            0.14621824,
            0.145488679,
            0.144759133,
            0.144029588,
            0.143300042,
            0.142570481,
            0.141840935,
            0.141111389,
            0.140381843,
            0.139652282,
            0.138532117,
            0.136829838,
            0.135127544,
            0.133425266,
            0.131722987,
            0.130020708,
            0.128318414,
            0.126616135,
            0.124913856,
            0.12321157,
            0.121509291,
            0.119807005,
            0.118104726,
            0.116402447,
            0.114700161,
            0.112997875,
            0.111362614,
            0.109903514,
            0.108444415,
            0.106985316,
            0.105526216,
            0.104067117,
            0.102608018,
            0.101148918,
            0.0996898189,
            0.0982307196,
            0.0967716202,
            0.0953125209,
            0.093853429,
            0.0923943222,
            0.0909352303,
            0.0894761235,
            0.0881261751,
            0.0873966217,
            0.0866670758,
            0.0859375224,
            0.0852079764,
            0.084478423,
            0.083748877,
            0.0830193236,
            0.0822897777,
            0.0815602243,
            0.0808306783,
            0.0801011249,
            0.079371579,
            0.0786420256,
            0.0779124796,
            0.0771829337,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0763327479,
            0.075360015,
            0.0743872821,
            0.0734145492,
            0.0724418163,
            0.0714690834,
            0.0704963505,
            0.0695236176,
            0.0685508847,
            0.0675781518,
            0.0666054189,
            0.065632686,
            0.0646599531,
            0.0636872202,
            0.0627144873,
            0.0617417544,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0601352118,
            0.0594056621,
            0.0586761124,
            0.0579465628,
            0.0572170131,
            0.0564874634,
            0.0557579175,
            0.0550283641,
            0.0542988181,
            0.0535692647,
            0.0528397188,
            0.0521101654,
            0.0513806194,
            0.0506510697,
            0.0499215201,
            0.0491919704,
            0.047905203,
            0.0464461073,
            0.044987008,
            0.0435279086,
            0.0420688093,
            0.0406097099,
            0.0391506106,
            0.0376915112,
            0.0362324119,
            0.0347733125,
            0.0333142132,
            0.0318551138,
            0.0303960145,
            0.0289369151,
            0.0274778157,
            0.0260187164,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.025587881,
            0.0263174307,
            0.0270469803,
            0.02777653,
            0.0285060797,
            0.0292356275,
            0.0299651772,
            0.0306947269,
            0.0314242765,
            0.0321538262,
            0.0328833759,
            0.0336129256,
            0.0343424752,
            0.0350720249,
            0.0358015746,
            0.0365311243,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0378983133,
            0.0386278629,
            0.0393574126,
            0.0400869623,
            0.0408165082,
            0.0415460616,
            0.0422756076,
            0.043005161,
            0.0437347069,
            0.0444642566,
            0.0451938063,
            0.045923356,
            0.0466529056,
            0.0473824553,
            0.048112005,
            0.0488415547,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0498774797,
            0.0515797585,
            0.0532820411,
            0.0549843237,
            0.0566866063,
            0.0583888888,
            0.0600911714,
            0.061793454,
            0.0634957403,
            0.0651980191,
            0.066900298,
            0.0686025843,
            0.0703048706,
            0.0720071495,
            0.0737094283,
            0.0754117146,
            0.076746352,
            0.077475898,
            0.0782054514,
            0.0789349973,
            0.0796645433,
            0.0803940967,
            0.0811236501,
            0.081853196,
            0.082582742,
            0.0833122954,
            0.0840418413,
            0.0847713947,
            0.0855009407,
            0.0862304941,
            0.08696004,
            0.0876895934,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.088327229,
            0.0890567824,
            0.0897863284,
            0.0905158818,
            0.0912454277,
            0.0919749811,
            0.0927045271,
            0.0934340805,
            0.0941636264,
            0.0948931798,
            0.0956227258,
            0.0963522792,
            0.0970818251,
            0.0978113711,
            0.0985409245,
            0.0992704779
          ],
          [
            0.111764729,
            0.113467008,
            0.115169294,
            0.116871573,
            0.118573859,
            0.120276138,
            0.121978424,
            0.123680703,
            0.12538299,
            0.127085268,
            0.128787547,
            0.130489841,
            0.13219212,
            0.133894399,
            0.135596678,
            0.137298971,
            0.13900125,
            0.139853343,
            0.140582889,
            0.14131245,
            0.142041996,
            0.142771542,
            0.143501088,
            0.144230649,
            0.144960195,
            0.145689741,
            0.146419287,
            0.147148848,
            0.147878394,
            0.148607939,
            0.149337485,
            0.150067046,
            0.150796592,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151342317,
            0.152071863,
            0.152801424,
            0.15353097,
            0.154260531,
            0.154990077,
            0.155719638,
            0.156449184,
            0.157178745,
            0.157908291,
            0.158637851,
            0.159367397,
            0.160096958,
            0.160826504,
            0.161556065,
            0.162285611,
            0.163015172,
            0.163744718,
            0.164474264,
            0.16520381,
            0.165933356,
            0.166662902,
            0.167392448,
            0.168121994,
            0.168851539,
            0.169581085,
            0.170310631,
            0.171040177,
            0.171769723,
            0.172499269,
            0.173228815,
            0.173958361,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.175141722,
            0.175871268,
            0.176600814,
            0.17733036,
            0.178059921,
            0.178789467,
            0.179519013,
            0.180248559,
            0.180978119,
            0.181707665,
            0.182437211,
            0.183166757,
            0.183896318,
            0.184625864,
            0.18535541,
            0.186084956,
            0.186994508,
            0.187967241,
            0.188939974,
            0.189912722,
            0.190885454,
            0.191858187,
            0.19283092,
            0.193803668,
            0.194776401,
            0.195749134,
            0.196721867,
            0.197694615,
            0.198667347,
            0.19964008,
            0.200612813,
            0.201585561,
            0.202408925,
            0.203138471,
            0.203868017,
            0.204597563,
            0.205327109,
            0.206056654,
            0.2067862,
            0.207515746,
            0.208245292,
            0.208974838,
            0.209704384,
            0.21043393,
            0.211163476,
            0.211893022,
            0.212622568,
            0.213352114,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213375092,
            0.212645546,
            0.211916,
            0.211186454,
            0.210456908,
            0.209727362,
            0.208997816,
            0.20826827,
            0.207538724,
            0.206809178,
            0.206079632,
            0.205350086,
            0.20462054,
            0.203890994,
            0.203161448,
            0.202431902,
            0.201357692,
            0.199655399,
            0.19795312,
            0.196250826,
            0.194548547,
            0.192846254,
            0.191143975,
            0.189441681,
            0.187739402,
            0.186037123,
            0.184334829,
            0.182632536,
            0.180930257,
            0.179227978,
            0.177525684,
            0.17582339,
            0.174343228,
            0.173613682,
            0.172884136,
            0.17215459,
            0.171425045,
            0.170695499,
            0.169965953,
            0.169236407,
            0.168506861,
            0.167777315,
            0.167047769,
            0.166318223,
            0.165588677,
            0.164859131,
            0.164129585,
            0.163400039,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162124768,
            0.161395222,
            0.160665661,
            0.159936115,
            0.159206554,
            0.158477008,
            0.157747447,
            0.157017902,
            0.156288341,
            0.155558795,
            0.154829234,
            0.154099688,
            0.153370127,
            0.152640581,
            0.15191102,
            0.151181474,
            0.149747267,
            0.148044974,
            0.146342695,
            0.144640416,
            0.142938137,
            0.141235858,
            0.139533564,
            0.137831286,
            0.136129007,
            0.134426728,
            0.132724434,
            0.131022155,
            0.129319876,
            0.127617598,
            0.125915304,
            0.124213025,
            0.123092853,
            0.122363307,
            0.121633753,
            0.120904207,
            0.120174654,
            0.119445108,
            0.118715554,
            0.117986009,
            0.117256455,
            0.116526909,
            0.115797356,
            0.11506781,
            0.114338256,
            0.11360871,
            0.112879157,
            0.112149611,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111259215,
            0.109800115,
            0.108341016,
            0.106881917,
            0.105422817,
            0.103963718,
            0.102504618,
            0.101045519,
            0.0995864198,
            0.0981273204,
            0.0966682211,
            0.0952091217,
            0.0937500224,
            0.092290923,
            0.0908318236,
            0.0893727243,
            0.0880744755,
            0.0873449221,
            0.0866153762,
            0.0858858228,
            0.0851562768,
            0.0844267234,
            0.0836971775,
            0.0829676241,
            0.0822380781,
            0.0815085247,
            0.0807789788,
            0.0800494254,
            0.0793198794,
            0.078590326,
            0.0778607801,
            0.0771312267,
            0.0763787031,
            0.0754059702,
            0.0744332373,
            0.0734605044,
            0.0724877715,
            0.0715150386,
            0.0705423057,
            0.0695695728,
            0.0685968399,
            0.067624107,
            0.0666513741,
            0.0656786412,
            0.0647059083,
            0.0637331754,
            0.0627604425,
            0.0617877096,
            0.0608149767,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.061481338,
            0.0624540709,
            0.0634268001,
            0.064399533,
            0.0653722659,
            0.0663449988,
            0.0673177317,
            0.0682904646,
            0.0692631975,
            0.0702359304,
            0.0712086633,
            0.0721813962,
            0.0731541291,
            0.074126862,
            0.0750995949,
            0.0760723278,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0763863623,
            0.0754136294,
            0.0744408965,
            0.0734681636,
            0.0724954307,
            0.0715226978,
            0.0705499649,
            0.069577232,
            0.0686044991,
            0.0676317662,
            0.0666590333,
            0.0656863004,
            0.0647135675,
            0.0637408346,
            0.0627681017,
            0.0617953688,
            0.0608226359,
            0.0593826845,
            0.0579235852,
            0.0564644858,
            0.0550053865,
            0.0535462871,
            0.0520871878,
            0.0506280884,
            0.0491689891,
            0.0477098934,
            0.0462507941,
            0.0447916947,
            0.0433325954,
            0.041873496,
            0.0404143967,
            0.0389552973,
            0.037496198,
            0.0360370986,
            0.0345779993,
            0.0331188999,
            0.0316598006,
            0.0302007012,
            0.0287416019,
            0.0272825025,
            0.0258234031,
            0.0243643057,
            0.0229052063,
            0.021446107,
            0.0199870076,
            0.0185279083,
            0.0170688089,
            0.0156097095,
            0.0141506102,
            0.0132085159,
            0.0124789663,
            0.0117494166,
            0.0110198669,
            0.0102903172,
            0.00956076756,
            0.00883121789,
            0.00810166821,
            0.007372119,
            0.00664256932,
            0.00591301965,
            0.00518347044,
            0.00445392076,
            0.00372437108,
            0.00299482141,
            0.00226527173,
            0.00139402482,
            0.000421292032,
            -0.000551440753,
            -0.00152417365,
            -0.00249690656,
            -0.00346963899,
            -0.00444237189,
            -0.0054151048,
            -0.00638783723,
            -0.00736057013,
            -0.00833330303,
            -0.00930603594,
            -0.0102787688,
            -0.0112515017,
            -0.0122242346,
            -0.0131969666,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.013966728,
            -0.0146962777,
            -0.0154258274,
            -0.016155377,
            -0.0168849267,
            -0.0176144764,
            -0.0183440261,
            -0.0190735757,
            -0.0198031254,
            -0.0205326751,
            -0.0212622248,
            -0.0219917744,
            -0.0227213241,
            -0.0234508738,
            -0.0241804235,
            -0.0249099731,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0248869937,
            -0.024157444,
            -0.0234278943,
            -0.0226983447,
            -0.021968795,
            -0.0212392453,
            -0.0205096956,
            -0.0197801478,
            -0.0190505981,
            -0.0183210485,
            -0.0175914988,
            -0.0168619491,
            -0.0161323994,
            -0.0154028488,
            -0.0146732992,
            -0.0139437504,
            -0.0130437808,
            -0.0120710479,
            -0.011098315,
            -0.0101255821,
            -0.00915285014,
            -0.00818011723,
            -0.00720738387,
            -0.00623465143,
            -0.00526191853,
            -0.00428918563,
            -0.00331645273,
            -0.00234371983,
            -0.00137098692,
            -0.000398254022,
            0.000574477948,
            0.00154721085,
            0.00140168413,
            0.000428951345,
            -0.000543781556,
            -0.00151651422,
            -0.00248924689,
            -0.0034619798,
            -0.0044347127,
            -0.00540744513,
            -0.00638017803,
            -0.00735291094,
            -0.00832564384,
            -0.00929837674,
            -0.0102711096,
            -0.0112438425,
            -0.0122165745,
            -0.0131893074,
            -0.0140528949,
            -0.0147824446,
            -0.0155119943,
            -0.016241543,
            -0.0169710927,
            -0.0177006423,
            -0.018430192,
            -0.0191597417,
            -0.0198892914,
            -0.0206188411,
            -0.0213483907,
            -0.0220779404,
            -0.0228074901,
            -0.0235370398,
            -0.0242665894,
            -0.0249961391,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.025346553,
            -0.0246170033,
            -0.0238874536,
            -0.0231579039,
            -0.0224283542,
            -0.0216988046,
            -0.0209692549,
            -0.0202397052,
            -0.0195101555,
            -0.0187806059,
            -0.0180510562,
            -0.0173215084,
            -0.0165919587,
            -0.015862409,
            -0.0151328584,
            -0.0144033087,
            -0.0137771601,
            -0.0145067098,
            -0.0152362594,
            -0.0159658082,
            -0.0166953579,
            -0.0174249075,
            -0.0181544572,
            -0.0188840069,
            -0.0196135566,
            -0.0203431062,
            -0.0210726559,
            -0.0218022056,
            -0.0225317553,
            -0.0232613049,
            -0.0239908546,
            -0.0247204043,
            -0.025449954,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0248927381,
            -0.0241631884,
            -0.0234336387,
            -0.0227040891,
            -0.0219745394,
            -0.0212449897,
            -0.0205154419,
            -0.0197858922,
            -0.0190563425,
            -0.0183267929,
            -0.0175972432,
            -0.0168676935,
            -0.0161381438,
            -0.0154085932,
            -0.0146790445,
            -0.0139494948,
            -0.01305144,
            -0.0120787071,
            -0.0111059742,
            -0.0101332422,
            -0.00916050933,
            -0.00818777643,
            -0.00721504353,
            -0.00624231063,
            -0.00526957773,
            -0.00429684483,
            -0.00332411192,
            -0.00235137902,
            -0.00137864612,
            -0.00040591415,
            0.000566818751,
            0.00153955165,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00153189246,
            0.000559159671,
            -0.000413573114,
            -0.00138630578,
            -0.00235903868,
            -0.00333177159,
            -0.00430450402,
            -0.00527723692,
            -0.00624996983,
            -0.00722270273,
            -0.00819543563,
            -0.00916816853,
            -0.0101409014,
            -0.0111136334,
            -0.0120863663,
            -0.0130590992,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0149088232,
            -0.0163679235,
            -0.0178270228,
            -0.0192861222,
            -0.0207452197,
            -0.022204319,
            -0.0236634184,
            -0.0251225177,
            -0.0265816171,
            -0.0280407164,
            -0.0294998158,
            -0.0309589151,
            -0.0324180126,
            -0.033877112,
            -0.0353362113,
            -0.0367953107,
            -0.03775464,
            -0.0384841897,
            -0.0392137393,
            -0.039943289,
            -0.0406728387,
            -0.0414023884,
            -0.042131938,
            -0.0428614877,
            -0.0435910374,
            -0.0443205871,
            -0.0450501367,
            -0.0457796864,
            -0.0465092361,
            -0.0472387858,
            -0.0479683354,
            -0.0486978851,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0487036295,
            -0.0479740798,
            -0.0472445302,
            -0.0465149805,
            -0.0457854308,
            -0.0450558811,
            -0.0443263315,
            -0.0435967818,
            -0.0428672321,
            -0.0421376824,
            -0.0414081328,
            -0.0406785831,
            -0.0399490334,
            -0.0392194837,
            -0.0384899341,
            -0.0377603844,
            -0.0374789052,
            -0.0382084548,
            -0.0389380045,
            -0.0396675542,
            -0.0403971039,
            -0.0411266536,
            -0.0418562032,
            -0.0425857529,
            -0.0433153026,
            -0.0440448523,
            -0.0447744019,
            -0.0455039516,
            -0.0462335013,
            -0.046963051,
            -0.0476925969,
            -0.0484221503,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.048341725,
            -0.0476121753,
            -0.0468826257,
            -0.046153076,
            -0.0454235263,
            -0.0446939766,
            -0.043964427,
            -0.0432348773,
            -0.0425053276,
            -0.0417757779,
            -0.041046232,
            -0.0403166786,
            -0.0395871326,
            -0.0388575792,
            -0.0381280333,
            -0.0373984799,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0364506431,
            -0.0349915437,
            -0.0335324444,
            -0.032073345,
            -0.0306142457,
            -0.0291551463,
            -0.027696047,
            -0.0262369476,
            -0.0247778483,
            -0.0233187489,
            -0.0218596496,
            -0.0204005502,
            -0.0189414527,
            -0.0174823534,
            -0.016023254,
            -0.0145641547,
            -0.0130016543,
            -0.0112993717,
            -0.00959708914,
            -0.0078948075,
            -0.00619252492,
            -0.00449024234,
            -0.00278796069,
            -0.00108567812,
            0.000616604462,
            0.00231888704,
            0.00402116962,
            0.0057234522,
            0.00742573477,
            0.00912801549,
            0.0108302981,
            0.0125325806,
            0.01394381,
            0.0146733597,
            0.0154029084,
            0.016132459,
            0.0168620087,
            0.0175915584,
            0.0183211081,
            0.0190506577,
            0.0197802074,
            0.0205097552,
            0.0212393049,
            0.0219688565,
            0.0226984043,
            0.0234279539,
            0.0241575036,
            0.0248870533,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0255246907,
            0.0262542404,
            0.0269837901,
            0.0277133398,
            0.0284428895,
            0.0291724391,
            0.0299019888,
            0.0306315385,
            0.0313610882,
            0.0320906378,
            0.0328201875,
            0.0335497372,
            0.0342792869,
            0.0350088365,
            0.0357383862,
            0.0364679359,
            0.0371974856,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0366747379,
            0.0359451883,
            0.0352156386,
            0.0344860889,
            0.0337565392,
            0.0330269895,
            0.0322974399,
            0.0315678902,
            0.0308383405,
            0.0301087908,
            0.0293792412,
            0.0286496915,
            0.0279201418,
            0.0271905921,
            0.0264610425,
            0.0257314928,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0257946812,
            0.0265242308,
            0.0272537805,
            0.0279833302,
            0.0287128799,
            0.0294424295,
            0.0301719792,
            0.0309015289,
            0.0316310786,
            0.0323606282,
            0.0330901779,
            0.0338197276,
            0.0345492773,
            0.035278827,
            0.0360083766,
            0.0367379263,
            0.037467476,
            0.0381970257,
            0.0389265753,
            0.039656125,
            0.0403856747,
            0.0411152244,
            0.041844774,
            0.0425743237,
            0.0433038734,
            0.0440334231,
            0.0447629727,
            0.0454925224,
            0.0462220684,
            0.0469516218,
            0.0476811677,
            0.0484107211,
            0.0493011139,
            0.0510033965,
            0.0527056791,
            0.0544079617,
            0.0561102442,
            0.0578125268,
            0.0595148094,
            0.061217092,
            0.0629193708,
            0.0646216571,
            0.066323936,
            0.0680262223,
            0.0697285011,
            0.0714307874,
            0.0731330663,
            0.0748353526,
            0.0765280575,
            0.0779871568,
            0.0794462562,
            0.0809053555,
            0.0823644549,
            0.0838235542,
            0.0852826536,
            0.0867417529,
            0.0882008523,
            0.0896599516,
            0.091119051,
            0.0925781503,
            0.0940372497,
            0.095496349,
            0.0969554484,
            0.0984145477,
            0.0998736471,
            0.101332746,
            0.102791846,
            0.104250945,
            0.105710045,
            0.107169144,
            0.108628243,
            0.110087343,
            0.111546442,
            0.113005534,
            0.114464641,
            0.115923733,
            0.117382839,
            0.118841931,
            0.120301038,
            0.12176013,
            0.123219229,
            0.124295369,
            0.125268102,
            0.126240835,
            0.127213567,
            0.1281863,
            0.129159033,
            0.130131766,
            0.131104499,
            0.132077232,
            0.133049965,
            0.134022698,
            0.134995431,
            0.135968164,
            0.136940897,
            0.137913629,
            0.138886362,
            0.139698237,
            0.140427798,
            0.141157344,
            0.14188689,
            0.142616436,
            0.143345997,
            0.144075543,
            0.144805089,
            0.145534635,
            0.146264195,
            0.146993741,
            0.147723287,
            0.148452833,
            0.149182394,
            0.14991194,
            0.150641486,
            0.151371047,
            0.152100593,
            0.152830154,
            0.1535597,
            0.154289246,
            0.155018806,
            0.155748367,
            0.156477913,
            0.157207459,
            0.15793702,
            0.158666566,
            0.159396127,
            0.160125673,
            0.160855234,
            0.16158478,
            0.16231434,
            0.163043886,
            0.163773432,
            0.164502978,
            0.165232524,
            0.16596207,
            0.166691616,
            0.167421162,
            0.168150708,
            0.168880254,
            0.1696098,
            0.170339346,
            0.171068892,
            0.171798438,
            0.172527984,
            0.17325753,
            0.173987076,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.173941121,
            0.173211575,
            0.172482029,
            0.171752483,
            0.171022937,
            0.170293391,
            0.169563845,
            0.168834299,
            0.168104753,
            0.167375207,
            0.166645661,
            0.165916115,
            0.165186569,
            0.164457023,
            0.163727477,
            0.162997931,
            0.162268385,
            0.161538824,
            0.160809278,
            0.160079718,
            0.159350172,
            0.158620611,
            0.157891065,
            0.157161504,
            0.156431958,
            0.155702397,
            0.154972851,
            0.15424329,
            0.153513744,
            0.152784184,
            0.152054638,
            0.151325077,
            0.150595531,
            0.149865985,
            0.149136439,
            0.148406878,
            0.147677332,
            0.146947786,
            0.14621824,
            0.145488679,
            0.144759133,
            0.144029588,
            0.143300042,
            0.142570481,
            0.141840935,
            0.141111389,
            0.140381843,
            0.139652282,
            0.138532117,
            0.136829838,
            0.135127544,
            0.133425266,
            0.131722987,
            0.130020708,
            0.128318414,
            0.126616135,
            0.124913856,
            0.12321157,
            0.121509291,
            0.119807005,
            0.118104726,
            0.116402447,
            0.114700161,
            0.112997875,
            0.111362614,
            0.109903514,
            0.108444415,
            0.106985316,
            0.105526216,
            0.104067117,
            0.102608018,
            0.101148918,
            0.0996898189,
            0.0982307196,
            0.0967716202,
            0.0953125209,
            0.093853429,
            0.0923943222,
            0.0909352303,
            0.0894761235,
            0.0879806429,
            0.0862783641,
            0.0845760852,
            0.0828737989,
            0.0811715201,
            0.0794692338,
            0.0777669549,
            0.0760646686,
            0.0743623897,
            0.0726601034,
            0.0709578246,
            0.0692555383,
            0.0675532594,
            0.0658509731,
            0.0641486943,
            0.0624464117,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0616575032,
            0.0626302361,
            0.0636029691,
            0.064575702,
            0.0655484349,
            0.0665211678,
            0.0674939007,
            0.0684666336,
            0.0694393665,
            0.0704120994,
            0.0713848323,
            0.0723575652,
            0.0733302981,
            0.074303031,
            0.0752757639,
            0.0762484968,
            0.0757199973,
            0.0747472644,
            0.0737745315,
            0.0728017986,
            0.0718290657,
            0.0708563402,
            0.0698836073,
            0.0689108744,
            0.0679381415,
            0.0669654086,
            0.0659926757,
            0.0650199428,
            0.0640472099,
            0.063074477,
            0.0621017441,
            0.0611290112,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0611673072,
            0.0621400401,
            0.063112773,
            0.0640855059,
            0.0650582388,
            0.0660309717,
            0.0670037046,
            0.0679764375,
            0.0689491704,
            0.0699219033,
            0.0708946362,
            0.0718673691,
            0.072840102,
            0.0738128349,
            0.0747855604,
            0.0757582933,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0756051093,
            0.0746323764,
            0.0736596435,
            0.0726869106,
            0.0717141777,
            0.0707414448,
            0.0697687119,
            0.068795979,
            0.0678232461,
            0.0668505132,
            0.0658777803,
            0.0649050474,
            0.0639323145,
            0.0629595816,
            0.0619868524,
            0.0610141195,
            0.0602271259,
            0.0594975762,
            0.0587680265,
            0.0580384769,
            0.0573089272,
            0.0565793775,
            0.0558498278,
            0.0551202781,
            0.0543907285,
            0.0536611788,
            0.0529316291,
            0.0522020794,
            0.0514725298,
            0.0507429801,
            0.0500134304,
            0.0492838807,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0491172895,
            0.0498468392,
            0.0505763888,
            0.0513059385,
            0.0520354882,
            0.0527650379,
            0.0534945875,
            0.0542241372,
            0.0549536869,
            0.0556832366,
            0.0564127862,
            0.0571423359,
            0.0578718856,
            0.0586014353,
            0.059330985,
            0.0600605346,
            0.0607919991,
            0.061764732,
            0.0627374649,
            0.0637101978,
            0.0646829307,
            0.0656556636,
            0.0666283965,
            0.0676011294,
            0.0685738623,
            0.0695465952,
            0.0705193281,
            0.071492061,
            0.0724647939,
            0.0734375268,
            0.0744102597,
            0.0753829926,
            0.0763557255,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0757353157,
            0.0747625902,
            0.0737898573,
            0.0728171244,
            0.0718443915,
            0.0708716586,
            0.0698989257,
            0.0689261928,
            0.0679534599,
            0.066980727,
            0.0660079941,
            0.0650352612,
            0.0640625283,
            0.0630897954,
            0.0621170625,
            0.0611443296,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.061274536,
            0.0622472689,
            0.0632200018,
            0.0641927347,
            0.0651654676,
            0.0661382005,
            0.0671109334,
            0.0680836663,
            0.0690563992,
            0.0700291321,
            0.071001865,
            0.0719745979,
            0.0729473308,
            0.0739200637,
            0.0748927966,
            0.0758655295,
            0.076746352,
            0.077475898,
            0.0782054514,
            0.0789349973,
            0.0796645433,
            0.0803940967,
            0.0811236501,
            0.081853196,
            0.082582742,
            0.0833122954,
            0.0840418413,
            0.0847713947,
            0.0855009407,
            0.0862304941,
            0.08696004,
            0.0876895934,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.088327229,
            0.0890567824,
            0.0897863284,
            0.0905158818,
            0.0912454277,
            0.0919749811,
            0.0927045271,
            0.0934340805,
            0.0941636264,
            0.0948931798,
            0.0956227258,
            0.0963522792,
            0.0970818251,
            0.0978113711,
            0.0985409245,
            0.0992704779
          ],
          [
            0.123529434,
            0.125231713,
            0.126933992,
            0.128636286,
            0.130338565,
            0.132040843,
            0.133743122,
            0.135445416,
            0.137147695,
            0.138849974,
            0.140552253,
            0.142254546,
            0.143956825,
            0.145659104,
            0.147361383,
            0.149063677,
            0.150765955,
            0.151618049,
            0.152347609,
            0.153077155,
            0.153806716,
            0.154536262,
            0.155265823,
            0.155995369,
            0.15672493,
            0.157454476,
            0.158184037,
            0.158913583,
            0.159643143,
            0.160372689,
            0.16110225,
            0.161831796,
            0.162561357,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163198993,
            0.163928539,
            0.164658085,
            0.16538763,
            0.166117176,
            0.166846722,
            0.167576268,
            0.168305814,
            0.16903536,
            0.169764906,
            0.170494452,
            0.171223998,
            0.171953544,
            0.17268309,
            0.173412636,
            0.174142182,
            0.174871728,
            0.175601274,
            0.17633082,
            0.177060381,
            0.177789927,
            0.178519472,
            0.179249018,
            0.179978579,
            0.180708125,
            0.181437671,
            0.182167217,
            0.182896778,
            0.183626324,
            0.18435587,
            0.185085416,
            0.185814977,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.187117055,
            0.188089788,
            0.189062536,
            0.190035269,
            0.191008002,
            0.191980734,
            0.192953467,
            0.193926215,
            0.194898948,
            0.195871681,
            0.196844429,
            0.197817162,
            0.198789895,
            0.199762627,
            0.20073536,
            0.201708108,
            0.202500835,
            0.203230381,
            0.203959927,
            0.204689473,
            0.205419019,
            0.206148565,
            0.206878111,
            0.207607657,
            0.208337203,
            0.209066749,
            0.209796295,
            0.210525841,
            0.211255386,
            0.211984932,
            0.212714478,
            0.213444024,
            0.21417357,
            0.214903131,
            0.215632677,
            0.216362223,
            0.217091769,
            0.21782133,
            0.218550876,
            0.219280422,
            0.220009968,
            0.220739529,
            0.221469074,
            0.22219862,
            0.222928166,
            0.223657727,
            0.224387273,
            0.225116819,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225570634,
            0.22630018,
            0.227029741,
            0.227759287,
            0.228488833,
            0.229218379,
            0.22994794,
            0.230677485,
            0.231407031,
            0.232136577,
            0.232866138,
            0.233595684,
            0.23432523,
            0.235054776,
            0.235784322,
            0.236513883,
            0.237243429,
            0.23653686,
            0.235807315,
            0.235077754,
            0.234348208,
            0.233618662,
            0.232889116,
            0.232159555,
            0.231430009,
            0.230700463,
            0.229970917,
            0.229241356,
            0.22851181,
            0.227782264,
            0.227052718,
            0.226323158,
            0.225593612,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225047886,
            0.22431834,
            0.223588794,
            0.222859234,
            0.222129688,
            0.221400142,
            0.220670596,
            0.219941035,
            0.219211489,
            0.218481943,
            0.217752397,
            0.217022836,
            0.21629329,
            0.215563744,
            0.214834198,
            0.214104638,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213467002,
            0.212737456,
            0.21200791,
            0.211278364,
            0.210548818,
            0.209819272,
            0.209089726,
            0.20836018,
            0.207630634,
            0.206901088,
            0.206171542,
            0.205441996,
            0.204712451,
            0.203982905,
            0.203253359,
            0.202523813,
            0.201738745,
            0.200765997,
            0.199793264,
            0.198820531,
            0.197847798,
            0.196875066,
            0.195902318,
            0.194929585,
            0.193956852,
            0.192984119,
            0.192011371,
            0.191038638,
            0.190065905,
            0.189093173,
            0.188120425,
            0.187147692,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185562208,
            0.184832662,
            0.184103116,
            0.18337357,
            0.18264401,
            0.181914464,
            0.181184918,
            0.180455372,
            0.179725811,
            0.178996265,
            0.178266719,
            0.177537173,
            0.176807612,
            0.176078066,
            0.17534852,
            0.174618974,
            0.173889428,
            0.173159882,
            0.172430336,
            0.171700791,
            0.170971245,
            0.170241699,
            0.169512153,
            0.168782607,
            0.168053061,
            0.167323515,
            0.166593969,
            0.165864423,
            0.165134877,
            0.164405331,
            0.163675785,
            0.162946239,
            0.161688194,
            0.160229087,
            0.15876998,
            0.157310888,
            0.155851781,
            0.154392675,
            0.152933568,
            0.151474476,
            0.150015369,
            0.148556262,
            0.147097155,
            0.145638064,
            0.144178957,
            0.14271985,
            0.141260743,
            0.139801651,
            0.13819702,
            0.136494741,
            0.134792447,
            0.133090168,
            0.131387889,
            0.129685611,
            0.127983332,
            0.126281038,
            0.124578759,
            0.12287648,
            0.121174194,
            0.119471915,
            0.117769629,
            0.11606735,
            0.114365064,
            0.112662785,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111511968,
            0.110782422,
            0.110052869,
            0.109323323,
            0.108593777,
            0.107864223,
            0.107134677,
            0.106405124,
            0.105675578,
            0.104946025,
            0.104216479,
            0.103486925,
            0.102757379,
            0.102027826,
            0.10129828,
            0.100568727,
            0.0998391807,
            0.0991096273,
            0.0983800814,
            0.097650528,
            0.096920982,
            0.0961914286,
            0.0954618827,
            0.0947323292,
            0.0940027833,
            0.0932732299,
            0.0925436839,
            0.0918141305,
            0.0910845846,
            0.0903550312,
            0.0896254852,
            0.0888959318,
            0.0881663859,
            0.0874368325,
            0.0867072865,
            0.0859777331,
            0.0852481872,
            0.0845186338,
            0.0837890878,
            0.0830595344,
            0.0823299885,
            0.0816004351,
            0.0808708891,
            0.0801413357,
            0.0794117898,
            0.0786822438,
            0.0779526904,
            0.077223137,
            0.0764935911,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0756510645,
            0.0746783316,
            0.0737055987,
            0.0727328658,
            0.0717601329,
            0.0707874,
            0.0698146671,
            0.0688419342,
            0.0678692013,
            0.0668964684,
            0.0659237355,
            0.0649510026,
            0.0639782697,
            0.0630055368,
            0.0620328076,
            0.0610600747,
            0.061481338,
            0.0624540709,
            0.0634268001,
            0.064399533,
            0.0653722659,
            0.0663449988,
            0.0673177317,
            0.0682904646,
            0.0692631975,
            0.0702359304,
            0.0712086633,
            0.0721813962,
            0.0731541291,
            0.074126862,
            0.0750995949,
            0.0760723278,
            0.0758961663,
            0.0749234334,
            0.0739507005,
            0.0729779676,
            0.0720052347,
            0.0710325018,
            0.0700597689,
            0.069087036,
            0.0681143031,
            0.0671415702,
            0.0661688372,
            0.0651961043,
            0.0642233714,
            0.0632506385,
            0.0622779056,
            0.0613051727,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607211515,
            0.0599916019,
            0.0592620522,
            0.0585325025,
            0.0578029528,
            0.0570734031,
            0.0563438535,
            0.0556143038,
            0.0548847541,
            0.0541552044,
            0.0534256548,
            0.0526961051,
            0.0519665554,
            0.0512370057,
            0.0505074561,
            0.0497779064,
            0.0490483567,
            0.0476179793,
            0.04615888,
            0.0446997806,
            0.0432406813,
            0.0417815819,
            0.0403224826,
            0.0388633832,
            0.0374042839,
            0.0359451883,
            0.0344860889,
            0.0330269895,
            0.0315678902,
            0.0301087908,
            0.0286496915,
            0.0271905921,
            0.0257314928,
            0.0242723934,
            0.0228132941,
            0.0213541947,
            0.0198950954,
            0.018435996,
            0.0169768967,
            0.0155177983,
            0.0140586989,
            0.0125996005,
            0.0111405011,
            0.00968140177,
            0.00822230242,
            0.00676320307,
            0.00530410372,
            0.00384500436,
            0.00238590501,
            0.0012714758,
            0.00029874302,
            -0.000673989765,
            -0.00164672267,
            -0.00261945557,
            -0.003592188,
            -0.00456492091,
            -0.00553765381,
            -0.00651038624,
            -0.00748311915,
            -0.00845585205,
            -0.00942858495,
            -0.0104013178,
            -0.0113740508,
            -0.0123467837,
            -0.0133195156,
            -0.0141505515,
            -0.0148801012,
            -0.0156096509,
            -0.0163391996,
            -0.0170687493,
            -0.017798299,
            -0.0185278486,
            -0.0192573983,
            -0.019986948,
            -0.0207164977,
            -0.0214460474,
            -0.022175597,
            -0.0229051467,
            -0.0236346964,
            -0.0243642461,
            -0.0250937957,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0257314332,
            -0.0264609829,
            -0.0271905325,
            -0.0279200822,
            -0.0286496319,
            -0.0293791816,
            -0.0301087312,
            -0.0308382809,
            -0.0315678306,
            -0.0322973803,
            -0.0330269299,
            -0.0337564796,
            -0.0344860293,
            -0.035215579,
            -0.0359451286,
            -0.0366746783,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0366517007,
            -0.0359221511,
            -0.0351926014,
            -0.0344630517,
            -0.033733502,
            -0.0330039524,
            -0.0322744027,
            -0.031544853,
            -0.0308153033,
            -0.0300857536,
            -0.029356204,
            -0.0286266543,
            -0.0278971046,
            -0.0271675549,
            -0.0264380053,
            -0.0257084556,
            -0.0249789059,
            -0.0242493562,
            -0.0235198066,
            -0.0227902569,
            -0.0220607072,
            -0.0213311575,
            -0.0206016079,
            -0.0198720582,
            -0.0191425085,
            -0.0184129588,
            -0.0176834092,
            -0.0169538595,
            -0.0162243098,
            -0.0154947611,
            -0.0147652114,
            -0.0140356617,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0143803312,
            -0.0158394296,
            -0.0172985289,
            -0.0187576283,
            -0.0202167276,
            -0.021675827,
            -0.0231349263,
            -0.0245940238,
            -0.0260531232,
            -0.0275122225,
            -0.0289713219,
            -0.0304304212,
            -0.0318895206,
            -0.0333486199,
            -0.0348077193,
            -0.0362668186,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0371112563,
            -0.0363817066,
            -0.0356521569,
            -0.0349226072,
            -0.0341930613,
            -0.0334635079,
            -0.0327339619,
            -0.0320044123,
            -0.0312748626,
            -0.030545311,
            -0.0298157614,
            -0.0290862136,
            -0.0283566639,
            -0.0276271142,
            -0.0268975645,
            -0.0261680149,
            -0.0255418643,
            -0.026271414,
            -0.0270009637,
            -0.0277305134,
            -0.028460063,
            -0.0291896127,
            -0.0299191624,
            -0.0306487121,
            -0.0313782617,
            -0.0321078114,
            -0.0328373611,
            -0.0335669108,
            -0.0342964604,
            -0.0350260101,
            -0.0357555598,
            -0.0364851095,
            -0.0372146592,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0366574451,
            -0.0359278955,
            -0.0351983458,
            -0.0344687961,
            -0.0337392464,
            -0.0330096968,
            -0.0322801471,
            -0.0315505974,
            -0.0308210477,
            -0.030091498,
            -0.0293619484,
            -0.0286323987,
            -0.027902849,
            -0.0271732993,
            -0.0264437497,
            -0.0257142,
            -0.0249846503,
            -0.0242551006,
            -0.023525551,
            -0.0227960013,
            -0.0220664516,
            -0.0213369019,
            -0.0206073523,
            -0.0198778026,
            -0.0191482529,
            -0.0184187032,
            -0.0176891536,
            -0.0169596039,
            -0.0162300542,
            -0.0155005055,
            -0.0147709558,
            -0.0140414061,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.013863327,
            -0.0145928767,
            -0.0153224263,
            -0.016051976,
            -0.0167815257,
            -0.0175110754,
            -0.018240625,
            -0.0189701747,
            -0.0196997244,
            -0.0204292741,
            -0.0211588237,
            -0.0218883716,
            -0.0226179212,
            -0.0233474709,
            -0.0240770206,
            -0.0248065703,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.026081847,
            -0.0268113967,
            -0.0275409464,
            -0.0282704961,
            -0.0290000457,
            -0.0297295935,
            -0.0304591432,
            -0.0311886929,
            -0.0319182426,
            -0.0326477922,
            -0.0333773419,
            -0.0341068916,
            -0.0348364413,
            -0.035565991,
            -0.0362955406,
            -0.0370250903,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0374789052,
            -0.0382084548,
            -0.0389380045,
            -0.0396675542,
            -0.0403971039,
            -0.0411266536,
            -0.0418562032,
            -0.0425857529,
            -0.0433153026,
            -0.0440448523,
            -0.0447744019,
            -0.0455039516,
            -0.0462335013,
            -0.046963051,
            -0.0476925969,
            -0.0484221503,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.048341725,
            -0.0476121753,
            -0.0468826257,
            -0.046153076,
            -0.0454235263,
            -0.0446939766,
            -0.043964427,
            -0.0432348773,
            -0.0425053276,
            -0.0417757779,
            -0.041046232,
            -0.0403166786,
            -0.0395871326,
            -0.0388575792,
            -0.0381280333,
            -0.0373984799,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0368527547,
            -0.036123205,
            -0.0353936553,
            -0.0346641056,
            -0.0339345559,
            -0.03320501,
            -0.0324754566,
            -0.0317459106,
            -0.0310163591,
            -0.0302868094,
            -0.0295572598,
            -0.0288277101,
            -0.0280981623,
            -0.0273686126,
            -0.0266390629,
            -0.0259095132,
            -0.0244561583,
            -0.022024326,
            -0.0195924938,
            -0.0171606615,
            -0.0147288293,
            -0.0122969979,
            -0.00986516569,
            -0.00743333437,
            -0.00500150211,
            -0.00256966986,
            -0.000137837604,
            0.00229399465,
            0.0047258269,
            0.0071576573,
            0.00958948955,
            0.0120213218,
            0.01394381,
            0.0146733597,
            0.0154029084,
            0.016132459,
            0.0168620087,
            0.0175915584,
            0.0183211081,
            0.0190506577,
            0.0197802074,
            0.0205097552,
            0.0212393049,
            0.0219688565,
            0.0226984043,
            0.0234279539,
            0.0241575036,
            0.0248870533,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0255246907,
            0.0262542404,
            0.0269837901,
            0.0277133398,
            0.0284428895,
            0.0291724391,
            0.0299019888,
            0.0306315385,
            0.0313610882,
            0.0320906378,
            0.0328201875,
            0.0335497372,
            0.0342792869,
            0.0350088365,
            0.0357383862,
            0.0364679359,
            0.0371974856,
            0.0365828238,
            0.0358532742,
            0.0351237245,
            0.0343941748,
            0.0336646251,
            0.0329350755,
            0.0322055258,
            0.0314759761,
            0.0307464283,
            0.0300168786,
            0.0292873289,
            0.0285577793,
            0.0278282296,
            0.0270986799,
            0.0263691302,
            0.0256395806,
            0.0249100309,
            0.0241804812,
            0.0234509315,
            0.0227213819,
            0.021991834,
            0.0212622844,
            0.0205327347,
            0.019803185,
            0.0190736353,
            0.0183440857,
            0.017614536,
            0.0168849863,
            0.0161554366,
            0.015425887,
            0.0146963373,
            0.0139667876,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0141218882,
            0.0148514379,
            0.0155809876,
            0.0163105372,
            0.0170400869,
            0.0177696366,
            0.0184991863,
            0.0192287359,
            0.0199582856,
            0.0206878353,
            0.021417385,
            0.0221469328,
            0.0228764825,
            0.0236060321,
            0.0243355818,
            0.0250651315,
            0.0260991398,
            0.0275582392,
            0.0290173385,
            0.0304764379,
            0.0319355354,
            0.0333946347,
            0.0348537341,
            0.0363128334,
            0.0377719328,
            0.0392310321,
            0.0406901315,
            0.0421492308,
            0.0436083302,
            0.0450674295,
            0.0465265289,
            0.0479856282,
            0.0492321812,
            0.0499617308,
            0.0506912805,
            0.0514208302,
            0.0521503799,
            0.0528799295,
            0.0536094792,
            0.0543390289,
            0.0550685786,
            0.0557981282,
            0.0565276779,
            0.0572572276,
            0.0579867736,
            0.058716327,
            0.0594458729,
            0.0601754263,
            0.0610658191,
            0.0627681017,
            0.064470388,
            0.0661726668,
            0.0678749457,
            0.069577232,
            0.0712795109,
            0.0729817972,
            0.074684076,
            0.0763863623,
            0.0780886412,
            0.0797909275,
            0.0814932063,
            0.0831954926,
            0.0848977715,
            0.0866000578,
            0.0883214846,
            0.0905101374,
            0.0926987827,
            0.0948874354,
            0.0970760807,
            0.099264726,
            0.101453379,
            0.103642024,
            0.105830677,
            0.108019322,
            0.110207975,
            0.11239662,
            0.114585273,
            0.116773918,
            0.118962571,
            0.121151216,
            0.123339862,
            0.125084281,
            0.12678656,
            0.128488839,
            0.130191118,
            0.131893396,
            0.13359569,
            0.135297969,
            0.137000248,
            0.138702542,
            0.14040482,
            0.142107099,
            0.143809378,
            0.145511657,
            0.147213951,
            0.14891623,
            0.150618508,
            0.151554868,
            0.152284414,
            0.153013974,
            0.15374352,
            0.154473081,
            0.155202627,
            0.155932188,
            0.156661734,
            0.157391295,
            0.158120841,
            0.158850402,
            0.159579948,
            0.160309508,
            0.161039054,
            0.161768615,
            0.162498161,
            0.163227707,
            0.163957253,
            0.164686799,
            0.165416345,
            0.166145891,
            0.166875437,
            0.167604983,
            0.168334529,
            0.169064075,
            0.169793621,
            0.170523167,
            0.171252713,
            0.171982259,
            0.172711805,
            0.17344135,
            0.174170896,
            0.174900442,
            0.175630003,
            0.176359549,
            0.177089095,
            0.177818641,
            0.178548202,
            0.179277748,
            0.180007294,
            0.18073684,
            0.181466401,
            0.182195947,
            0.182925493,
            0.183655038,
            0.184384599,
            0.185114145,
            0.185843691,
            0.186672822,
            0.187645555,
            0.188618287,
            0.18959102,
            0.190563753,
            0.191536501,
            0.192509234,
            0.193481967,
            0.1944547,
            0.195427448,
            0.19640018,
            0.197372913,
            0.198345646,
            0.199318394,
            0.200291127,
            0.20126386,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201930225,
            0.200957492,
            0.199984744,
            0.199012011,
            0.198039278,
            0.197066545,
            0.196093813,
            0.195121065,
            0.194148332,
            0.193175599,
            0.192202866,
            0.191230118,
            0.190257385,
            0.189284652,
            0.18831192,
            0.187339172,
            0.186366439,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185705826,
            0.18497628,
            0.184246719,
            0.183517173,
            0.182787627,
            0.182058081,
            0.18132852,
            0.180598974,
            0.179869428,
            0.179139882,
            0.178410321,
            0.177680776,
            0.17695123,
            0.176221684,
            0.175492138,
            0.174762577,
            0.173556238,
            0.172097147,
            0.17063804,
            0.169178948,
            0.167719841,
            0.166260749,
            0.164801642,
            0.16334255,
            0.161883444,
            0.160424352,
            0.158965245,
            0.157506153,
            0.156047046,
            0.154587954,
            0.153128847,
            0.151669756,
            0.150082365,
            0.148380071,
            0.146677792,
            0.144975513,
            0.143273234,
            0.141570941,
            0.139868662,
            0.138166383,
            0.136464104,
            0.13476181,
            0.133059531,
            0.131357253,
            0.129654974,
            0.127952695,
            0.126250401,
            0.124548122,
            0.123236462,
            0.122506917,
            0.121777363,
            0.121047817,
            0.120318264,
            0.119588718,
            0.118859172,
            0.118129618,
            0.117400065,
            0.116670519,
            0.115940973,
            0.11521142,
            0.114481866,
            0.11375232,
            0.113022774,
            0.112293221,
            0.111362614,
            0.109903514,
            0.108444415,
            0.106985316,
            0.105526216,
            0.104067117,
            0.102608018,
            0.101148918,
            0.0996898189,
            0.0982307196,
            0.0967716202,
            0.0953125209,
            0.093853429,
            0.0923943222,
            0.0909352303,
            0.0894761235,
            0.0879806429,
            0.0862783641,
            0.0845760852,
            0.0828737989,
            0.0811715201,
            0.0794692338,
            0.0777669549,
            0.0760646686,
            0.0743623897,
            0.0726601034,
            0.0709578246,
            0.0692555383,
            0.0675532594,
            0.0658509731,
            0.0641486943,
            0.0624464117,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0602213815,
            0.0594918318,
            0.0587622821,
            0.0580327325,
            0.0573031828,
            0.0565736331,
            0.0558440834,
            0.0551145338,
            0.0543849841,
            0.0536554344,
            0.0529258847,
            0.052196335,
            0.0514667854,
            0.0507372357,
            0.050007686,
            0.0492781363,
            0.0494906828,
            0.0502202325,
            0.0509497821,
            0.0516793318,
            0.0524088815,
            0.0531384312,
            0.0538679808,
            0.0545975305,
            0.0553270802,
            0.0560566299,
            0.0567861795,
            0.0575157292,
            0.0582452789,
            0.0589748248,
            0.0597043782,
            0.0604339242,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0610447563,
            0.0620174892,
            0.0629902184,
            0.0639629513,
            0.0649356842,
            0.0659084171,
            0.06688115,
            0.0678538829,
            0.0688266158,
            0.0697993487,
            0.0707720816,
            0.0717448145,
            0.0727175474,
            0.0736902803,
            0.0746630132,
            0.0756357461,
            0.0765740126,
            0.077303566,
            0.078033112,
            0.0787626654,
            0.0794922113,
            0.0802217647,
            0.0809513107,
            0.0816808641,
            0.08241041,
            0.0831399634,
            0.0838695094,
            0.0845990628,
            0.0853286088,
            0.0860581547,
            0.0867877081,
            0.0875172615,
            0.0882238299,
            0.0874942765,
            0.0867647305,
            0.0860351771,
            0.0853056312,
            0.0845760852,
            0.0838465318,
            0.0831169859,
            0.0823874325,
            0.0816578865,
            0.0809283331,
            0.0801987872,
            0.0794692338,
            0.0787396878,
            0.0780101344,
            0.0772805884,
            0.076551035,
            0.0756051093,
            0.0746323764,
            0.0736596435,
            0.0726869106,
            0.0717141777,
            0.0707414448,
            0.0697687119,
            0.068795979,
            0.0678232461,
            0.0668505132,
            0.0658777803,
            0.0649050474,
            0.0639323145,
            0.0629595816,
            0.0619868524,
            0.0610141195,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.061159648,
            0.0621323809,
            0.0631051138,
            0.0640778467,
            0.0650505796,
            0.0660233125,
            0.0669960454,
            0.0679687783,
            0.0689415112,
            0.0699142441,
            0.070886977,
            0.0718597099,
            0.0728324428,
            0.0738051683,
            0.0747779012,
            0.0757506341,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.076665923,
            0.0781250224,
            0.0795841217,
            0.0810432211,
            0.0825023204,
            0.0839614198,
            0.0854205191,
            0.0868796185,
            0.0883387178,
            0.0897978172,
            0.0912569165,
            0.0927160159,
            0.0941751152,
            0.0956342146,
            0.0970933139,
            0.0985524133,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0994485542,
            0.0987190008,
            0.0979894549,
            0.0972599015,
            0.0965303555,
            0.0958008021,
            0.0950712562,
            0.0943417028,
            0.0936121568,
            0.0928826034,
            0.0921530575,
            0.0914235115,
            0.0906939581,
            0.0899644047,
            0.0892348588,
            0.0885053128,
            0.0877757594,
            0.0870462134,
            0.08631666,
            0.0855871141,
            0.0848575607,
            0.0841280147,
            0.0833984613,
            0.0826689154,
            0.081939362,
            0.081209816,
            0.0804802626,
            0.0797507167,
            0.0790211633,
            0.0782916173,
            0.0775620639,
            0.076832518,
            0.0768382624,
            0.0775678083,
            0.0782973617,
            0.0790269077,
            0.0797564611,
            0.080486007,
            0.0812155604,
            0.0819451064,
            0.0826746598,
            0.0834042057,
            0.0841337591,
            0.0848633051,
            0.0855928585,
            0.0863224044,
            0.0870519578,
            0.0877815038,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0884191394,
            0.0891486928,
            0.0898782387,
            0.0906077921,
            0.0913373381,
            0.0920668915,
            0.0927964374,
            0.0935259908,
            0.0942555368,
            0.0949850902,
            0.0957146361,
            0.0964441895,
            0.0971737355,
            0.0979032889,
            0.0986328349,
            0.0993623883,
            0.100091934,
            0.100821488,
            0.101551034,
            0.102280587,
            0.103010133,
            0.103739686,
            0.104469232,
            0.105198786,
            0.105928332,
            0.106657885,
            0.107387431,
            0.108116984,
            0.10884653,
            0.109576076,
            0.11030563,
            0.111035183
          ],
          [
            0.139215708,
            0.139945254,
            0.1406748,
            0.141404361,
            0.142133906,
            0.142863452,
            0.143592998,
            0.144322559,
            0.145052105,
            0.145781651,
            0.146511197,
            0.147240758,
            0.147970304,
            0.14869985,
            0.149429396,
            0.150158957,
            0.150888503,
            0.151618049,
            0.152347609,
            0.153077155,
            0.153806716,
            0.154536262,
            0.155265823,
            0.155995369,
            0.15672493,
            0.157454476,
            0.158184037,
            0.158913583,
            0.159643143,
            0.160372689,
            0.16110225,
            0.161831796,
            0.162561357,
            0.163290903,
            0.164020449,
            0.164749995,
            0.165479541,
            0.166209087,
            0.166938633,
            0.167668179,
            0.168397725,
            0.169127271,
            0.169856817,
            0.170586362,
            0.171315908,
            0.172045454,
            0.172775,
            0.173504546,
            0.174234092,
            0.174963638,
            0.175693184,
            0.17642273,
            0.177152291,
            0.177881837,
            0.178611383,
            0.179340929,
            0.18007049,
            0.180800036,
            0.181529582,
            0.182259127,
            0.182988688,
            0.183718234,
            0.18444778,
            0.185177326,
            0.185906887,
            0.186757073,
            0.187729806,
            0.188702539,
            0.189675272,
            0.190648019,
            0.191620752,
            0.192593485,
            0.193566218,
            0.194538966,
            0.195511699,
            0.196484432,
            0.197457165,
            0.198429912,
            0.199402645,
            0.200375378,
            0.201348111,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.202684656,
            0.203414202,
            0.204143748,
            0.204873294,
            0.20560284,
            0.206332386,
            0.207061931,
            0.207791477,
            0.208521023,
            0.209250569,
            0.209980115,
            0.210709661,
            0.211439207,
            0.212168753,
            0.212898299,
            0.213627845,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.214265496,
            0.214995041,
            0.215724587,
            0.216454133,
            0.217183694,
            0.21791324,
            0.218642786,
            0.219372332,
            0.220101893,
            0.220831439,
            0.221560985,
            0.222290531,
            0.223020077,
            0.223749638,
            0.224479184,
            0.22520873,
            0.225938275,
            0.226667836,
            0.227397382,
            0.228126928,
            0.228856474,
            0.229586035,
            0.230315581,
            0.231045127,
            0.231774673,
            0.232504234,
            0.23323378,
            0.233963326,
            0.234692872,
            0.235422432,
            0.236151978,
            0.236881524,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237335339,
            0.238064885,
            0.238794446,
            0.239523992,
            0.240253538,
            0.240983084,
            0.241712645,
            0.242442191,
            0.243171737,
            0.243901283,
            0.244630843,
            0.245360389,
            0.246089935,
            0.246819481,
            0.247549027,
            0.248278588,
            0.249008134,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.248485386,
            0.24775584,
            0.24702628,
            0.246296734,
            0.245567188,
            0.244837642,
            0.244108081,
            0.243378535,
            0.242648989,
            0.241919443,
            0.241189897,
            0.240460336,
            0.23973079,
            0.239001244,
            0.238271698,
            0.237542138,
            0.236812592,
            0.236083046,
            0.2353535,
            0.234623939,
            0.233894393,
            0.233164847,
            0.232435301,
            0.23170574,
            0.230976194,
            0.230246648,
            0.229517102,
            0.228787541,
            0.228057995,
            0.227328449,
            0.226598904,
            0.225869343,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225323617,
            0.224594072,
            0.223864526,
            0.22313498,
            0.222405419,
            0.221675873,
            0.220946327,
            0.220216781,
            0.21948722,
            0.218757674,
            0.218028128,
            0.217298582,
            0.216569021,
            0.215839475,
            0.215109929,
            0.214380383,
            0.213650823,
            0.212921277,
            0.212191731,
            0.211462185,
            0.210732639,
            0.210003093,
            0.209273547,
            0.208544001,
            0.207814455,
            0.207084924,
            0.206355363,
            0.205625832,
            0.204896271,
            0.20416674,
            0.203437179,
            0.202707648,
            0.201978087,
            0.201011106,
            0.200038373,
            0.199065626,
            0.198092893,
            0.19712016,
            0.196147427,
            0.195174679,
            0.194201946,
            0.193229213,
            0.19225648,
            0.191283733,
            0.190311,
            0.189338267,
            0.188365534,
            0.187392786,
            0.186420053,
            0.185654119,
            0.184924573,
            0.184195027,
            0.183465481,
            0.18273592,
            0.182006374,
            0.181276828,
            0.180547282,
            0.179817721,
            0.179088175,
            0.178358629,
            0.177629083,
            0.176899523,
            0.176169977,
            0.175440431,
            0.174710885,
            0.173452839,
            0.171993732,
            0.170534641,
            0.169075534,
            0.167616442,
            0.166157335,
            0.164698243,
            0.163239151,
            0.161780044,
            0.160320938,
            0.158861846,
            0.157402754,
            0.155943647,
            0.154484555,
            0.153025448,
            0.151566356,
            0.149961725,
            0.148259446,
            0.146557152,
            0.144854873,
            0.143152595,
            0.141450316,
            0.139748037,
            0.138045743,
            0.136343464,
            0.134641185,
            0.132938907,
            0.131236613,
            0.129534334,
            0.127832055,
            0.126129776,
            0.12442749,
            0.123184763,
            0.122455217,
            0.121725664,
            0.120996118,
            0.120266564,
            0.119537018,
            0.118807465,
            0.118077919,
            0.117348365,
            0.11661882,
            0.115889266,
            0.11515972,
            0.114430174,
            0.113700621,
            0.112971067,
            0.112241521,
            0.111511968,
            0.110782422,
            0.110052869,
            0.109323323,
            0.108593777,
            0.107864223,
            0.107134677,
            0.106405124,
            0.105675578,
            0.104946025,
            0.104216479,
            0.103486925,
            0.102757379,
            0.102027826,
            0.10129828,
            0.100568727,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0999310911,
            0.0992015377,
            0.0984719917,
            0.0977424383,
            0.0970128924,
            0.096283339,
            0.095553793,
            0.0948242396,
            0.0940946937,
            0.0933651403,
            0.0926355943,
            0.0919060409,
            0.091176495,
            0.090446949,
            0.0897173956,
            0.0889878422,
            0.0882582963,
            0.0875287503,
            0.0867991969,
            0.0860696509,
            0.0853400975,
            0.0846105516,
            0.0838809982,
            0.0831514522,
            0.0824218988,
            0.0816923529,
            0.0809627995,
            0.0802332535,
            0.0795037001,
            0.0787741542,
            0.0780446008,
            0.0773150548,
            0.0765855014,
            0.0756510645,
            0.0746783316,
            0.0737055987,
            0.0727328658,
            0.0717601329,
            0.0707874,
            0.0698146671,
            0.0688419342,
            0.0678692013,
            0.0668964684,
            0.0659237355,
            0.0649510026,
            0.0639782697,
            0.0630055368,
            0.0620328076,
            0.0610600747,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0603535026,
            0.059623953,
            0.0588944033,
            0.0581648536,
            0.0574353039,
            0.0567057543,
            0.0559762046,
            0.0552466549,
            0.0545171052,
            0.0537875593,
            0.0530580059,
            0.0523284599,
            0.0515989065,
            0.0508693606,
            0.0501398072,
            0.0494102612,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0489564463,
            0.0482268967,
            0.047497347,
            0.0467677973,
            0.0460382476,
            0.045308698,
            0.0445791483,
            0.0438495986,
            0.0431200489,
            0.0423904993,
            0.0416609496,
            0.0409313999,
            0.0402018502,
            0.0394723006,
            0.0387427509,
            0.0380132012,
            0.0372836515,
            0.0358532742,
            0.0343941748,
            0.0329350755,
            0.0314759761,
            0.0300168786,
            0.0285577793,
            0.0270986799,
            0.0256395806,
            0.0241804831,
            0.0227213837,
            0.0212622844,
            0.019803185,
            0.0183440857,
            0.0168849863,
            0.015425887,
            0.0139667876,
            0.0123047167,
            0.0106024342,
            0.00890015159,
            0.00719786948,
            0.00549558736,
            0.00379330479,
            0.00209102221,
            0.000388739631,
            -0.00131354202,
            -0.00301582552,
            -0.00471810624,
            -0.00642038882,
            -0.0081226714,
            -0.00982495397,
            -0.0115272366,
            -0.0132295191,
            -0.0142424628,
            -0.0149720125,
            -0.0157015622,
            -0.0164311118,
            -0.0171606615,
            -0.0178902112,
            -0.0186197609,
            -0.0193493105,
            -0.0200788602,
            -0.0208084099,
            -0.0215379596,
            -0.0222675093,
            -0.0229970589,
            -0.0237266086,
            -0.0244561583,
            -0.025185708,
            -0.0259152558,
            -0.0266448054,
            -0.0273743551,
            -0.0281039048,
            -0.0288334545,
            -0.0295630042,
            -0.0302925538,
            -0.0310221035,
            -0.031751655,
            -0.032481201,
            -0.0332107544,
            -0.0339403003,
            -0.0346698537,
            -0.0353993997,
            -0.0361289531,
            -0.0368584991,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0374961384,
            -0.038225688,
            -0.0389552377,
            -0.0396847874,
            -0.0404143371,
            -0.0411438867,
            -0.0418734364,
            -0.0426029861,
            -0.0433325358,
            -0.0440620854,
            -0.0447916351,
            -0.0455211848,
            -0.0462507345,
            -0.0469802842,
            -0.0477098338,
            -0.0484393835,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0484164059,
            -0.0476868562,
            -0.0469573066,
            -0.0462277569,
            -0.0454982072,
            -0.0447686575,
            -0.0440391079,
            -0.0433095582,
            -0.0425800085,
            -0.0418504588,
            -0.0411209092,
            -0.0403913595,
            -0.0396618098,
            -0.0389322601,
            -0.0382027104,
            -0.0374731608,
            -0.0367436111,
            -0.0360140614,
            -0.0352845117,
            -0.0345549621,
            -0.0338254124,
            -0.0330958627,
            -0.032366313,
            -0.0316367634,
            -0.0309072137,
            -0.030177664,
            -0.0294481143,
            -0.0287185647,
            -0.027989015,
            -0.0272594653,
            -0.0265299156,
            -0.025800366,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.025817601,
            -0.0265471507,
            -0.0272767004,
            -0.0280062482,
            -0.0287357979,
            -0.0294653475,
            -0.0301948972,
            -0.0309244469,
            -0.0316539966,
            -0.0323835462,
            -0.0331130959,
            -0.0338426456,
            -0.0345721953,
            -0.0353017449,
            -0.0360312946,
            -0.0367608443,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0371112563,
            -0.0363817066,
            -0.0356521569,
            -0.0349226072,
            -0.0341930613,
            -0.0334635079,
            -0.0327339619,
            -0.0320044123,
            -0.0312748626,
            -0.030545311,
            -0.0298157614,
            -0.0290862136,
            -0.0283566639,
            -0.0276271142,
            -0.0268975645,
            -0.0261680149,
            -0.0255418643,
            -0.026271414,
            -0.0270009637,
            -0.0277305134,
            -0.028460063,
            -0.0291896127,
            -0.0299191624,
            -0.0306487121,
            -0.0313782617,
            -0.0321078114,
            -0.0328373611,
            -0.0335669108,
            -0.0342964604,
            -0.0350260101,
            -0.0357555598,
            -0.0364851095,
            -0.0372146592,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0366574451,
            -0.0359278955,
            -0.0351983458,
            -0.0344687961,
            -0.0337392464,
            -0.0330096968,
            -0.0322801471,
            -0.0315505974,
            -0.0308210477,
            -0.030091498,
            -0.0293619484,
            -0.0286323987,
            -0.027902849,
            -0.0271732993,
            -0.0264437497,
            -0.0257142,
            -0.0249846503,
            -0.0242551006,
            -0.023525551,
            -0.0227960013,
            -0.0220664516,
            -0.0213369019,
            -0.0206073523,
            -0.0198778026,
            -0.0191482529,
            -0.0184187032,
            -0.0176891536,
            -0.0169596039,
            -0.0162300542,
            -0.0155005055,
            -0.0147709558,
            -0.0140414061,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.013863327,
            -0.0145928767,
            -0.0153224263,
            -0.016051976,
            -0.0167815257,
            -0.0175110754,
            -0.018240625,
            -0.0189701747,
            -0.0196997244,
            -0.0204292741,
            -0.0211588237,
            -0.0218883716,
            -0.0226179212,
            -0.0233474709,
            -0.0240770206,
            -0.0248065703,
            -0.0255361199,
            -0.0262656696,
            -0.0269952193,
            -0.027724769,
            -0.0284543186,
            -0.0291838683,
            -0.029913418,
            -0.0306429677,
            -0.0313725173,
            -0.032102067,
            -0.0328316167,
            -0.0335611664,
            -0.0342907161,
            -0.0350202657,
            -0.0357498154,
            -0.0364793651,
            -0.0372089148,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0367550999,
            -0.0360255502,
            -0.0352960005,
            -0.0345664509,
            -0.0338369012,
            -0.0331073515,
            -0.0323778018,
            -0.0316482522,
            -0.0309187025,
            -0.0301891528,
            -0.0294596031,
            -0.0287300535,
            -0.0280005038,
            -0.0272709541,
            -0.0265414044,
            -0.0258118547,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0258061122,
            -0.02653566,
            -0.0272652097,
            -0.0279947594,
            -0.0287243091,
            -0.0294538587,
            -0.0301834084,
            -0.0309129581,
            -0.0316425078,
            -0.0323720574,
            -0.0331016071,
            -0.0338311568,
            -0.0345607065,
            -0.0352902561,
            -0.0360198058,
            -0.0367493555,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0368527547,
            -0.036123205,
            -0.0353936553,
            -0.0346641056,
            -0.0339345559,
            -0.03320501,
            -0.0324754566,
            -0.0317459106,
            -0.0310163591,
            -0.0302868094,
            -0.0295572598,
            -0.0288277101,
            -0.0280981623,
            -0.0273686126,
            -0.0266390629,
            -0.0259095132,
            -0.0247663595,
            -0.0230640769,
            -0.0213617943,
            -0.0196595117,
            -0.0179572292,
            -0.0162549466,
            -0.0145526659,
            -0.0128503833,
            -0.0111481007,
            -0.00944581814,
            -0.00774353556,
            -0.00604125299,
            -0.00433897041,
            -0.00263668969,
            -0.000934407115,
            0.000767875463,
            0.00217910437,
            0.00290865405,
            0.00363820372,
            0.00436775293,
            0.00509730261,
            0.00582685228,
            0.00655640196,
            0.00728595164,
            0.00801550131,
            0.00874505006,
            0.00947459973,
            0.0102041503,
            0.0109336991,
            0.0116632488,
            0.0123927984,
            0.0131223481,
            0.0138518978,
            0.0145814475,
            0.0153109971,
            0.0160405468,
            0.0167700965,
            0.0174996462,
            0.0182291958,
            0.0189587455,
            0.0196882952,
            0.020417843,
            0.0211473927,
            0.0218769424,
            0.022606492,
            0.0233360417,
            0.0240655914,
            0.0247951411,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0248181187,
            0.0240885708,
            0.0233590212,
            0.0226294715,
            0.0218999218,
            0.0211703721,
            0.0204408225,
            0.0197112728,
            0.0189817231,
            0.0182521734,
            0.0175226238,
            0.0167930741,
            0.0160635244,
            0.0153339747,
            0.0146044251,
            0.0138748754,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0145182582,
            0.0159773566,
            0.0174364559,
            0.0188955553,
            0.0203546546,
            0.021813754,
            0.0232728533,
            0.0247319527,
            0.026191052,
            0.0276501514,
            0.0291092508,
            0.0305683482,
            0.0320274457,
            0.0334865451,
            0.0349456444,
            0.0364047438,
            0.0378638431,
            0.0393229425,
            0.0407820418,
            0.0422411412,
            0.0437002406,
            0.0451593399,
            0.0466184393,
            0.0480775386,
            0.049536638,
            0.0509957373,
            0.0524548367,
            0.053913936,
            0.0553730354,
            0.0568321347,
            0.0582912341,
            0.0597503334,
            0.0612802804,
            0.0629825592,
            0.0646848455,
            0.0663871244,
            0.0680894107,
            0.0697916895,
            0.0714939758,
            0.0731962547,
            0.074898541,
            0.0766008198,
            0.0783031061,
            0.080005385,
            0.0817076713,
            0.0834099501,
            0.0851122364,
            0.0868145153,
            0.0884765834,
            0.0899356827,
            0.0913947821,
            0.0928538814,
            0.0943129808,
            0.0957720801,
            0.0972311795,
            0.0986902788,
            0.100149378,
            0.101608478,
            0.103067577,
            0.104526676,
            0.105985776,
            0.107444875,
            0.108903974,
            0.110363074,
            0.111831747,
            0.113534033,
            0.115236312,
            0.116938598,
            0.118640877,
            0.120343164,
            0.122045442,
            0.123747721,
            0.12545,
            0.127152294,
            0.128854573,
            0.130556852,
            0.13225913,
            0.133961424,
            0.135663703,
            0.137365982,
            0.139068261,
            0.140548438,
            0.14200753,
            0.143466637,
            0.144925743,
            0.14638485,
            0.147843942,
            0.149303049,
            0.150762156,
            0.152221262,
            0.153680354,
            0.155139461,
            0.156598568,
            0.15805766,
            0.159516767,
            0.160975873,
            0.16243498,
            0.163894072,
            0.165353164,
            0.166812256,
            0.168271363,
            0.169730455,
            0.171189547,
            0.172648638,
            0.174107745,
            0.175566837,
            0.177025929,
            0.178485021,
            0.179944128,
            0.18140322,
            0.182862312,
            0.184321404,
            0.18578051,
            0.186917916,
            0.187890649,
            0.188863382,
            0.18983613,
            0.190808862,
            0.191781595,
            0.192754328,
            0.193727076,
            0.194699809,
            0.195672542,
            0.196645275,
            0.197618008,
            0.198590755,
            0.199563488,
            0.200536221,
            0.201508954,
            0.202351481,
            0.203081027,
            0.203810573,
            0.204540119,
            0.205269665,
            0.20599921,
            0.206728756,
            0.207458302,
            0.208187848,
            0.208917394,
            0.20964694,
            0.210376486,
            0.211106032,
            0.211835578,
            0.212565124,
            0.21329467,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.21370253,
            0.212972984,
            0.212243438,
            0.211513892,
            0.210784346,
            0.2100548,
            0.209325254,
            0.208595708,
            0.207866162,
            0.207136616,
            0.20640707,
            0.205677524,
            0.204947978,
            0.204218432,
            0.203488886,
            0.20275934,
            0.202029794,
            0.201080039,
            0.200107306,
            0.199134558,
            0.198161826,
            0.197189093,
            0.19621636,
            0.195243612,
            0.194270879,
            0.193298146,
            0.192325413,
            0.191352665,
            0.190379933,
            0.1894072,
            0.188434467,
            0.187461734,
            0.186488986,
            0.185705826,
            0.18497628,
            0.184246719,
            0.183517173,
            0.182787627,
            0.182058081,
            0.18132852,
            0.180598974,
            0.179869428,
            0.179139882,
            0.178410321,
            0.177680776,
            0.17695123,
            0.176221684,
            0.175492138,
            0.174762577,
            0.173556238,
            0.172097147,
            0.17063804,
            0.169178948,
            0.167719841,
            0.166260749,
            0.164801642,
            0.16334255,
            0.161883444,
            0.160424352,
            0.158965245,
            0.157506153,
            0.156047046,
            0.154587954,
            0.153128847,
            0.151669756,
            0.150082365,
            0.148380071,
            0.146677792,
            0.144975513,
            0.143273234,
            0.141570941,
            0.139868662,
            0.138166383,
            0.136464104,
            0.13476181,
            0.133059531,
            0.131357253,
            0.129654974,
            0.127952695,
            0.126250401,
            0.124548122,
            0.123236462,
            0.122506917,
            0.121777363,
            0.121047817,
            0.120318264,
            0.119588718,
            0.118859172,
            0.118129618,
            0.117400065,
            0.116670519,
            0.115940973,
            0.11521142,
            0.114481866,
            0.11375232,
            0.113022774,
            0.112293221,
            0.111362614,
            0.109903514,
            0.108444415,
            0.106985316,
            0.105526216,
            0.104067117,
            0.102608018,
            0.101148918,
            0.0996898189,
            0.0982307196,
            0.0967716202,
            0.0953125209,
            0.093853429,
            0.0923943222,
            0.0909352303,
            0.0894761235,
            0.0881261751,
            0.0873966217,
            0.0866670758,
            0.0859375224,
            0.0852079764,
            0.084478423,
            0.083748877,
            0.0830193236,
            0.0822897777,
            0.0815602243,
            0.0808306783,
            0.0801011249,
            0.079371579,
            0.0786420256,
            0.0779124796,
            0.0771829337,
            0.0764476359,
            0.075474903,
            0.0745021701,
            0.0735294372,
            0.0725567043,
            0.0715839714,
            0.0706112385,
            0.0696385056,
            0.0686657727,
            0.0676930398,
            0.0667203069,
            0.065747574,
            0.0647748411,
            0.0638021082,
            0.0628293753,
            0.0618566424,
            0.0608839095,
            0.0601294674,
            0.0593999177,
            0.058670368,
            0.0579408184,
            0.0572112687,
            0.056481719,
            0.0557521731,
            0.0550226197,
            0.0542930737,
            0.0535635203,
            0.0528339744,
            0.052104421,
            0.051374875,
            0.0506453253,
            0.0499157757,
            0.049186226,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0494906828,
            0.0502202325,
            0.0509497821,
            0.0516793318,
            0.0524088815,
            0.0531384312,
            0.0538679808,
            0.0545975305,
            0.0553270802,
            0.0560566299,
            0.0567861795,
            0.0575157292,
            0.0582452789,
            0.0589748248,
            0.0597043782,
            0.0604339242,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0610447563,
            0.0620174892,
            0.0629902184,
            0.0639629513,
            0.0649356842,
            0.0659084171,
            0.06688115,
            0.0678538829,
            0.0688266158,
            0.0697993487,
            0.0707720816,
            0.0717448145,
            0.0727175474,
            0.0736902803,
            0.0746630132,
            0.0756357461,
            0.0765740126,
            0.077303566,
            0.078033112,
            0.0787626654,
            0.0794922113,
            0.0802217647,
            0.0809513107,
            0.0816808641,
            0.08241041,
            0.0831399634,
            0.0838695094,
            0.0845990628,
            0.0853286088,
            0.0860581547,
            0.0867877081,
            0.0875172615,
            0.0882238299,
            0.0874942765,
            0.0867647305,
            0.0860351771,
            0.0853056312,
            0.0845760852,
            0.0838465318,
            0.0831169859,
            0.0823874325,
            0.0816578865,
            0.0809283331,
            0.0801987872,
            0.0794692338,
            0.0787396878,
            0.0780101344,
            0.0772805884,
            0.076551035,
            0.0756051093,
            0.0746323764,
            0.0736596435,
            0.0726869106,
            0.0717141777,
            0.0707414448,
            0.0697687119,
            0.068795979,
            0.0678232461,
            0.0668505132,
            0.0658777803,
            0.0649050474,
            0.0639323145,
            0.0629595816,
            0.0619868524,
            0.0610141195,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.061404746,
            0.0623774752,
            0.0633502081,
            0.064322941,
            0.0652956739,
            0.0662684068,
            0.0672411397,
            0.0682138726,
            0.0691866055,
            0.0701593384,
            0.0711320713,
            0.0721048042,
            0.0730775371,
            0.07405027,
            0.0750230029,
            0.0759957358,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0767520964,
            0.0774816424,
            0.0782111958,
            0.0789407417,
            0.0796702951,
            0.0803998411,
            0.081129387,
            0.0818589404,
            0.0825884938,
            0.0833180398,
            0.0840475857,
            0.0847771391,
            0.0855066851,
            0.0862362385,
            0.0869657844,
            0.0876953378,
            0.0884248838,
            0.0891544372,
            0.0898839831,
            0.0906135365,
            0.0913430825,
            0.0920726359,
            0.0928021818,
            0.0935317352,
            0.0942612812,
            0.0949908346,
            0.0957203805,
            0.0964499339,
            0.0971794799,
            0.0979090333,
            0.0986385792,
            0.0993681327,
            0.100097679,
            0.100827232,
            0.101556778,
            0.102286331,
            0.103015877,
            0.103745431,
            0.104474977,
            0.10520453,
            0.105934076,
            0.106663629,
            0.107393175,
            0.108122729,
            0.108852275,
            0.109581828,
            0.110311374,
            0.11104092,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111213259,
            0.110483706,
            0.10975416,
            0.109024607,
            0.108295061,
            0.107565507,
            0.106835961,
            0.106106408,
            0.105376862,
            0.104647309,
            0.103917763,
            0.103188217,
            0.102458663,
            0.10172911,
            0.100999564,
            0.100270018,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100183845,
            0.100913398,
            0.101642944,
            0.102372497,
            0.103102043,
            0.103831597,
            0.104561143,
            0.105290696,
            0.106020242,
            0.106749795,
            0.107479341,
            0.108208895,
            0.108938441,
            0.109667994,
            0.11039754,
            0.111127093,
            0.111856639,
            0.112586193,
            0.113315739,
            0.114045292,
            0.114774838,
            0.115504391,
            0.116233937,
            0.116963491,
            0.117693037,
            0.11842259,
            0.119152136,
            0.11988169,
            0.120611235,
            0.121340781,
            0.122070335,
            0.122799888
          ],
          [
            0.139215708,
            0.139945254,
            0.1406748,
            0.141404361,
            0.142133906,
            0.142863452,
            0.143592998,
            0.144322559,
            0.145052105,
            0.145781651,
            0.146511197,
            0.147240758,
            0.147970304,
            0.14869985,
            0.149429396,
            0.150158957,
            0.150888503,
            0.151618049,
            0.152347609,
            0.153077155,
            0.153806716,
            0.154536262,
            0.155265823,
            0.155995369,
            0.15672493,
            0.157454476,
            0.158184037,
            0.158913583,
            0.159643143,
            0.160372689,
            0.16110225,
            0.161831796,
            0.162561357,
            0.163836628,
            0.16529572,
            0.166754812,
            0.168213919,
            0.169673011,
            0.171132103,
            0.172591195,
            0.174050301,
            0.175509393,
            0.176968485,
            0.178427577,
            0.179886684,
            0.181345776,
            0.182804868,
            0.18426396,
            0.185723066,
            0.18687962,
            0.187852353,
            0.188825086,
            0.189797819,
            0.190770566,
            0.191743299,
            0.192716032,
            0.193688765,
            0.194661513,
            0.195634246,
            0.196606979,
            0.197579712,
            0.198552459,
            0.199525192,
            0.200497925,
            0.201470658,
            0.202322766,
            0.203052312,
            0.203781858,
            0.204511404,
            0.20524095,
            0.205970496,
            0.206700042,
            0.207429588,
            0.208159134,
            0.20888868,
            0.209618226,
            0.210347772,
            0.211077318,
            0.211806864,
            0.212536409,
            0.213265955,
            0.213455513,
            0.212725967,
            0.211996421,
            0.211266875,
            0.210537329,
            0.209807783,
            0.209078237,
            0.208348691,
            0.207619146,
            0.2068896,
            0.206160054,
            0.205430508,
            0.204700962,
            0.203971416,
            0.20324187,
            0.202512324,
            0.202138945,
            0.202868491,
            0.203598037,
            0.204327583,
            0.205057129,
            0.205786675,
            0.206516221,
            0.207245767,
            0.207975313,
            0.208704859,
            0.209434405,
            0.210163951,
            0.210893497,
            0.211623043,
            0.212352589,
            0.213082135,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.21517311,
            0.216632217,
            0.218091309,
            0.219550416,
            0.221009508,
            0.222468615,
            0.223927706,
            0.225386813,
            0.226845905,
            0.228305012,
            0.229764104,
            0.231223211,
            0.232682303,
            0.234141409,
            0.235600501,
            0.237059608,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237702981,
            0.238432541,
            0.239162087,
            0.239891633,
            0.240621179,
            0.24135074,
            0.242080286,
            0.242809832,
            0.243539378,
            0.244268939,
            0.244998485,
            0.245728031,
            0.246457577,
            0.247187138,
            0.247916684,
            0.24864623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.24973768,
            0.250467241,
            0.251196802,
            0.251926333,
            0.252655894,
            0.253385454,
            0.254115015,
            0.254844546,
            0.255574107,
            0.256303668,
            0.257033229,
            0.25776276,
            0.258492321,
            0.259221882,
            0.259951442,
            0.260680974,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260250151,
            0.25952059,
            0.258791029,
            0.258061498,
            0.257331938,
            0.256602377,
            0.255872816,
            0.255143285,
            0.254413724,
            0.253684163,
            0.252954602,
            0.252225071,
            0.25149551,
            0.250765949,
            0.250036389,
            0.249306843,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.248853028,
            0.248123482,
            0.247393936,
            0.24666439,
            0.245934829,
            0.245205283,
            0.244475737,
            0.243746191,
            0.24301663,
            0.242287084,
            0.241557539,
            0.240827993,
            0.240098432,
            0.239368886,
            0.23863934,
            0.237909794,
            0.237180233,
            0.236450687,
            0.235721141,
            0.234991595,
            0.234262034,
            0.233532488,
            0.232802942,
            0.232073396,
            0.231343836,
            0.23061429,
            0.229884744,
            0.229155198,
            0.228425652,
            0.227696091,
            0.226966545,
            0.226236999,
            0.225507438,
            0.224065587,
            0.222606495,
            0.221147388,
            0.219688296,
            0.218229204,
            0.216770113,
            0.215311006,
            0.213851914,
            0.212392822,
            0.21093373,
            0.209474623,
            0.208015531,
            0.206556439,
            0.205097347,
            0.203638241,
            0.202179149,
            0.200513244,
            0.198810965,
            0.197108671,
            0.195406392,
            0.193704098,
            0.19200182,
            0.190299526,
            0.188597247,
            0.186894953,
            0.185192674,
            0.183490396,
            0.181788102,
            0.180085808,
            0.178383529,
            0.17668125,
            0.174978957,
            0.173452839,
            0.171993732,
            0.170534641,
            0.169075534,
            0.167616442,
            0.166157335,
            0.164698243,
            0.163239151,
            0.161780044,
            0.160320938,
            0.158861846,
            0.157402754,
            0.155943647,
            0.154484555,
            0.153025448,
            0.151566356,
            0.149961725,
            0.148259446,
            0.146557152,
            0.144854873,
            0.143152595,
            0.141450316,
            0.139748037,
            0.138045743,
            0.136343464,
            0.134641185,
            0.132938907,
            0.131236613,
            0.129534334,
            0.127832055,
            0.126129776,
            0.12442749,
            0.123184763,
            0.122455217,
            0.121725664,
            0.120996118,
            0.120266564,
            0.119537018,
            0.118807465,
            0.118077919,
            0.117348365,
            0.11661882,
            0.115889266,
            0.11515972,
            0.114430174,
            0.113700621,
            0.112971067,
            0.112241521,
            0.111511968,
            0.110782422,
            0.110052869,
            0.109323323,
            0.108593777,
            0.107864223,
            0.107134677,
            0.106405124,
            0.105675578,
            0.104946025,
            0.104216479,
            0.103486925,
            0.102757379,
            0.102027826,
            0.10129828,
            0.100568727,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0999310911,
            0.0992015377,
            0.0984719917,
            0.0977424383,
            0.0970128924,
            0.096283339,
            0.095553793,
            0.0948242396,
            0.0940946937,
            0.0933651403,
            0.0926355943,
            0.0919060409,
            0.091176495,
            0.090446949,
            0.0897173956,
            0.0889878422,
            0.0882582963,
            0.0875287503,
            0.0867991969,
            0.0860696509,
            0.0853400975,
            0.0846105516,
            0.0838809982,
            0.0831514522,
            0.0824218988,
            0.0816923529,
            0.0809627995,
            0.0802332535,
            0.0795037001,
            0.0787741542,
            0.0780446008,
            0.0773150548,
            0.0765855014,
            0.0756510645,
            0.0746783316,
            0.0737055987,
            0.0727328658,
            0.0717601329,
            0.0707874,
            0.0698146671,
            0.0688419342,
            0.0678692013,
            0.0668964684,
            0.0659237355,
            0.0649510026,
            0.0639782697,
            0.0630055368,
            0.0620328076,
            0.0610600747,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0603535026,
            0.059623953,
            0.0588944033,
            0.0581648536,
            0.0574353039,
            0.0567057543,
            0.0559762046,
            0.0552466549,
            0.0545171052,
            0.0537875593,
            0.0530580059,
            0.0523284599,
            0.0515989065,
            0.0508693606,
            0.0501398072,
            0.0494102612,
            0.0486807115,
            0.0479511619,
            0.0472216122,
            0.0464920625,
            0.0457625128,
            0.0450329632,
            0.0443034135,
            0.0435738638,
            0.0428443141,
            0.0421147645,
            0.0413852148,
            0.0406556651,
            0.0399261154,
            0.0391965657,
            0.0384670161,
            0.0377374664,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0371917412,
            0.0364621915,
            0.0357326418,
            0.0350030921,
            0.0342735425,
            0.0335439928,
            0.0328144431,
            0.0320848934,
            0.0313553438,
            0.0306257941,
            0.0298962444,
            0.0291666947,
            0.0284371451,
            0.0277075954,
            0.0269780457,
            0.026248496,
            0.0255189463,
            0.0240885708,
            0.0226294715,
            0.0211703721,
            0.0197112728,
            0.0182521734,
            0.0167930741,
            0.0153339747,
            0.0138748754,
            0.012415777,
            0.0109566776,
            0.00949757919,
            0.00803847983,
            0.00657938048,
            0.00512028113,
            0.00366118178,
            0.00220208243,
            0.00054001133,
            -0.00116227102,
            -0.00286455359,
            -0.00456683571,
            -0.00626911782,
            -0.0079714004,
            -0.00967368297,
            -0.0113759656,
            -0.0130782472,
            -0.0147805307,
            -0.0164828114,
            -0.018185094,
            -0.0198873766,
            -0.0215896592,
            -0.0232919417,
            -0.0249942243,
            -0.026007168,
            -0.0267367177,
            -0.0274662673,
            -0.028195817,
            -0.0289253667,
            -0.0296549164,
            -0.0303844661,
            -0.0311140157,
            -0.0318435654,
            -0.0325731151,
            -0.0333026648,
            -0.0340322144,
            -0.0347617641,
            -0.0354913138,
            -0.0362208635,
            -0.0369504131,
            -0.0376799628,
            -0.0384095125,
            -0.0391390622,
            -0.0398686118,
            -0.0405981615,
            -0.0413277112,
            -0.0420572609,
            -0.0427868105,
            -0.0435163602,
            -0.0442459062,
            -0.0449754596,
            -0.0457050055,
            -0.0464345589,
            -0.0471641049,
            -0.0478936583,
            -0.0486232042,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0495825335,
            -0.0512848161,
            -0.0529870987,
            -0.0546893813,
            -0.0563916638,
            -0.0580939464,
            -0.059796229,
            -0.0614985116,
            -0.0632007942,
            -0.0649030805,
            -0.0666053593,
            -0.0683076382,
            -0.0700099245,
            -0.0717122033,
            -0.0734144896,
            -0.0751167685,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0755437762,
            -0.0745710433,
            -0.0735983104,
            -0.0726255774,
            -0.0716528445,
            -0.0706801116,
            -0.0697073787,
            -0.0687346458,
            -0.0677619129,
            -0.06678918,
            -0.0658164471,
            -0.0648437142,
            -0.0638709813,
            -0.0628982484,
            -0.0619255193,
            -0.0609527864,
            -0.0601811111,
            -0.0594515614,
            -0.0587220117,
            -0.0579924621,
            -0.0572629124,
            -0.0565333627,
            -0.055803813,
            -0.0550742634,
            -0.0543447137,
            -0.053615164,
            -0.0528856143,
            -0.0521560647,
            -0.051426515,
            -0.0506969653,
            -0.0499674156,
            -0.049237866,
            -0.0485083163,
            -0.0477787666,
            -0.0470492169,
            -0.0463196672,
            -0.0455901176,
            -0.0448605679,
            -0.0441310182,
            -0.0434014685,
            -0.0426719189,
            -0.0419423692,
            -0.0412128195,
            -0.0404832698,
            -0.0397537202,
            -0.0390241705,
            -0.0382946208,
            -0.0375650711,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0370193459,
            -0.0362897962,
            -0.0355602466,
            -0.0348306969,
            -0.0341011472,
            -0.0333715975,
            -0.0326420479,
            -0.0319124982,
            -0.0311829485,
            -0.0304533988,
            -0.0297238491,
            -0.0289942995,
            -0.0282647498,
            -0.0275352001,
            -0.0268056504,
            -0.0260761026,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0249846503,
            -0.0242551006,
            -0.023525551,
            -0.0227960013,
            -0.0220664516,
            -0.0213369019,
            -0.0206073523,
            -0.0198778026,
            -0.0191482529,
            -0.0184187032,
            -0.0176891536,
            -0.0169596039,
            -0.0162300542,
            -0.0155005055,
            -0.0147709558,
            -0.0140414061,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.013863327,
            -0.0145928767,
            -0.0153224263,
            -0.016051976,
            -0.0167815257,
            -0.0175110754,
            -0.018240625,
            -0.0189701747,
            -0.0196997244,
            -0.0204292741,
            -0.0211588237,
            -0.0218883716,
            -0.0226179212,
            -0.0233474709,
            -0.0240770206,
            -0.0248065703,
            -0.0255361199,
            -0.0262656696,
            -0.0269952193,
            -0.027724769,
            -0.0284543186,
            -0.0291838683,
            -0.029913418,
            -0.0306429677,
            -0.0313725173,
            -0.032102067,
            -0.0328316167,
            -0.0335611664,
            -0.0342907161,
            -0.0350202657,
            -0.0357498154,
            -0.0364793651,
            -0.0372089148,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0367550999,
            -0.0360255502,
            -0.0352960005,
            -0.0345664509,
            -0.0338369012,
            -0.0331073515,
            -0.0323778018,
            -0.0316482522,
            -0.0309187025,
            -0.0301891528,
            -0.0294596031,
            -0.0287300535,
            -0.0280005038,
            -0.0272709541,
            -0.0265414044,
            -0.0258118547,
            -0.0250823069,
            -0.0243527573,
            -0.0236232076,
            -0.0228936579,
            -0.0221641082,
            -0.0214345586,
            -0.0207050089,
            -0.0199754592,
            -0.0192459095,
            -0.0185163599,
            -0.0177868102,
            -0.0170572605,
            -0.0163277108,
            -0.0155981621,
            -0.0148686124,
            -0.0141390627,
            -0.0140414061,
            -0.0147709558,
            -0.0155005055,
            -0.0162300542,
            -0.0169596039,
            -0.0176891536,
            -0.0184187032,
            -0.0191482529,
            -0.0198778026,
            -0.0206073523,
            -0.0213369019,
            -0.0220664516,
            -0.0227960013,
            -0.023525551,
            -0.0242551006,
            -0.0249846503,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0255303755,
            -0.0262599252,
            -0.0269894749,
            -0.0277190246,
            -0.0284485742,
            -0.0291781239,
            -0.0299076736,
            -0.0306372233,
            -0.0313667729,
            -0.0320963226,
            -0.0328258723,
            -0.033555422,
            -0.0342849717,
            -0.0350145213,
            -0.035744071,
            -0.0364736207,
            -0.0372031704,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0366344638,
            -0.0351753682,
            -0.0337162688,
            -0.0322571695,
            -0.0307980683,
            -0.0293389708,
            -0.0278798714,
            -0.0264207721,
            -0.0249616727,
            -0.0235025734,
            -0.022043474,
            -0.0205843747,
            -0.0191252753,
            -0.017666176,
            -0.0162070766,
            -0.0147479773,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0135569545,
            -0.0125842215,
            -0.0116114896,
            -0.0106387567,
            -0.00966602378,
            -0.00869329087,
            -0.00772055797,
            -0.00674782507,
            -0.00577509217,
            -0.00480235927,
            -0.00382962637,
            -0.0028568944,
            -0.00188416149,
            -0.000911428593,
            6.13043085e-5,
            0.00103403721,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00254100701,
            0.00327055668,
            0.0040001059,
            0.00472965557,
            0.00545920525,
            0.00618875492,
            0.0069183046,
            0.00764785428,
            0.00837740302,
            0.0091069527,
            0.0098365033,
            0.010566052,
            0.0112956017,
            0.0120251514,
            0.0127547011,
            0.0134842508,
            0.0142138004,
            0.0149433501,
            0.0156728998,
            0.0164024495,
            0.0171319991,
            0.0178615488,
            0.0185910985,
            0.0193206482,
            0.0200501978,
            0.0207797475,
            0.0215092972,
            0.0222388469,
            0.0229683965,
            0.0236979462,
            0.0244274959,
            0.0251570456,
            0.0258865934,
            0.0266161431,
            0.0273456927,
            0.0280752424,
            0.0288047921,
            0.0295343418,
            0.0302638914,
            0.0309934411,
            0.0317229889,
            0.0324525386,
            0.0331820883,
            0.033911638,
            0.0346411876,
            0.0353707373,
            0.036100287,
            0.0368298367,
            0.0378638431,
            0.0393229425,
            0.0407820418,
            0.0422411412,
            0.0437002406,
            0.0451593399,
            0.0466184393,
            0.0480775386,
            0.049536638,
            0.0509957373,
            0.0524548367,
            0.053913936,
            0.0553730354,
            0.0568321347,
            0.0582912341,
            0.0597503334,
            0.0614928268,
            0.0639246553,
            0.0663564876,
            0.0687883198,
            0.0712201521,
            0.0736519843,
            0.0760838166,
            0.0785156488,
            0.0809474811,
            0.0833793133,
            0.0858111456,
            0.0882429779,
            0.0906748101,
            0.0931066424,
            0.0955384746,
            0.0979703069,
            0.100241289,
            0.101700388,
            0.103159487,
            0.104618587,
            0.106077686,
            0.107536785,
            0.108995885,
            0.110454984,
            0.111914083,
            0.113373183,
            0.114832282,
            0.116291381,
            0.117750481,
            0.11920958,
            0.120668679,
            0.122127779,
            0.123596452,
            0.125298738,
            0.127001017,
            0.128703296,
            0.130405575,
            0.132107869,
            0.133810148,
            0.135512426,
            0.137214705,
            0.138916999,
            0.140619278,
            0.142321557,
            0.144023836,
            0.145726129,
            0.147428408,
            0.149130687,
            0.150832966,
            0.151646778,
            0.152376324,
            0.153105885,
            0.153835431,
            0.154564992,
            0.155294538,
            0.156024098,
            0.156753644,
            0.157483205,
            0.158212751,
            0.158942312,
            0.159671858,
            0.160401419,
            0.161130965,
            0.161860526,
            0.162590072,
            0.163894072,
            0.165353164,
            0.166812256,
            0.168271363,
            0.169730455,
            0.171189547,
            0.172648638,
            0.174107745,
            0.175566837,
            0.177025929,
            0.178485021,
            0.179944128,
            0.18140322,
            0.182862312,
            0.184321404,
            0.18578051,
            0.186917916,
            0.187890649,
            0.188863382,
            0.18983613,
            0.190808862,
            0.191781595,
            0.192754328,
            0.193727076,
            0.194699809,
            0.195672542,
            0.196645275,
            0.197618008,
            0.198590755,
            0.199563488,
            0.200536221,
            0.201508954,
            0.202351481,
            0.203081027,
            0.203810573,
            0.204540119,
            0.205269665,
            0.20599921,
            0.206728756,
            0.207458302,
            0.208187848,
            0.208917394,
            0.20964694,
            0.210376486,
            0.211106032,
            0.211835578,
            0.212565124,
            0.21329467,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213932306,
            0.214661852,
            0.215391412,
            0.216120958,
            0.216850504,
            0.21758005,
            0.218309611,
            0.219039157,
            0.219768703,
            0.220498249,
            0.22122781,
            0.221957356,
            0.222686902,
            0.223416448,
            0.224146008,
            0.224875554,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225444257,
            0.223985165,
            0.222526059,
            0.221066967,
            0.219607875,
            0.218148783,
            0.216689676,
            0.215230584,
            0.213771492,
            0.2123124,
            0.210853308,
            0.209394202,
            0.20793511,
            0.206476018,
            0.205016926,
            0.203557819,
            0.202098727,
            0.201080039,
            0.200107306,
            0.199134558,
            0.198161826,
            0.197189093,
            0.19621636,
            0.195243612,
            0.194270879,
            0.193298146,
            0.192325413,
            0.191352665,
            0.190379933,
            0.1894072,
            0.188434467,
            0.187461734,
            0.186488986,
            0.185705826,
            0.18497628,
            0.184246719,
            0.183517173,
            0.182787627,
            0.182058081,
            0.18132852,
            0.180598974,
            0.179869428,
            0.179139882,
            0.178410321,
            0.177680776,
            0.17695123,
            0.176221684,
            0.175492138,
            0.174762577,
            0.173556238,
            0.172097147,
            0.17063804,
            0.169178948,
            0.167719841,
            0.166260749,
            0.164801642,
            0.16334255,
            0.161883444,
            0.160424352,
            0.158965245,
            0.157506153,
            0.156047046,
            0.154587954,
            0.153128847,
            0.151669756,
            0.150082365,
            0.148380071,
            0.146677792,
            0.144975513,
            0.143273234,
            0.141570941,
            0.139868662,
            0.138166383,
            0.136464104,
            0.13476181,
            0.133059531,
            0.131357253,
            0.129654974,
            0.127952695,
            0.126250401,
            0.124548122,
            0.122943498,
            0.121484399,
            0.120025299,
            0.1185662,
            0.117107101,
            0.115648001,
            0.114188902,
            0.112729803,
            0.111270703,
            0.109811604,
            0.108352505,
            0.106893405,
            0.105434306,
            0.103975207,
            0.102516107,
            0.101057008,
            0.0997989699,
            0.0990694165,
            0.0983398706,
            0.0976103172,
            0.0968807712,
            0.0961512178,
            0.0954216719,
            0.0946921185,
            0.0939625725,
            0.0932330191,
            0.0925034732,
            0.0917739198,
            0.0910443738,
            0.0903148204,
            0.0895852745,
            0.0888557211,
            0.0881261751,
            0.0873966217,
            0.0866670758,
            0.0859375224,
            0.0852079764,
            0.084478423,
            0.083748877,
            0.0830193236,
            0.0822897777,
            0.0815602243,
            0.0808306783,
            0.0801011249,
            0.079371579,
            0.0786420256,
            0.0779124796,
            0.0771829337,
            0.0764476359,
            0.075474903,
            0.0745021701,
            0.0735294372,
            0.0725567043,
            0.0715839714,
            0.0706112385,
            0.0696385056,
            0.0686657727,
            0.0676930398,
            0.0667203069,
            0.065747574,
            0.0647748411,
            0.0638021082,
            0.0628293753,
            0.0618566424,
            0.0608839095,
            0.0601294674,
            0.0593999177,
            0.058670368,
            0.0579408184,
            0.0572112687,
            0.056481719,
            0.0557521731,
            0.0550226197,
            0.0542930737,
            0.0535635203,
            0.0528339744,
            0.052104421,
            0.051374875,
            0.0506453253,
            0.0499157757,
            0.049186226,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0494906828,
            0.0502202325,
            0.0509497821,
            0.0516793318,
            0.0524088815,
            0.0531384312,
            0.0538679808,
            0.0545975305,
            0.0553270802,
            0.0560566299,
            0.0567861795,
            0.0575157292,
            0.0582452789,
            0.0589748248,
            0.0597043782,
            0.0604339242,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0610256083,
            0.0627278909,
            0.0644301698,
            0.0661324561,
            0.0678347349,
            0.0695370212,
            0.0712393001,
            0.0729415864,
            0.0746438652,
            0.0763461515,
            0.0780484304,
            0.0797507167,
            0.0814529955,
            0.0831552818,
            0.0848575607,
            0.086559847,
            0.0882238299,
            0.0874942765,
            0.0867647305,
            0.0860351771,
            0.0853056312,
            0.0845760852,
            0.0838465318,
            0.0831169859,
            0.0823874325,
            0.0816578865,
            0.0809283331,
            0.0801987872,
            0.0794692338,
            0.0787396878,
            0.0780101344,
            0.0772805884,
            0.076551035,
            0.0756051093,
            0.0746323764,
            0.0736596435,
            0.0726869106,
            0.0717141777,
            0.0707414448,
            0.0697687119,
            0.068795979,
            0.0678232461,
            0.0668505132,
            0.0658777803,
            0.0649050474,
            0.0639323145,
            0.0629595816,
            0.0619868524,
            0.0610141195,
            0.0615272932,
            0.0625000298,
            0.0634727627,
            0.0644454882,
            0.0654182211,
            0.066390954,
            0.0673636869,
            0.0683364198,
            0.0693091527,
            0.0702818856,
            0.0712546185,
            0.0722273514,
            0.0732000843,
            0.0741728172,
            0.0751455501,
            0.076118283,
            0.0769359171,
            0.0776654631,
            0.0783950165,
            0.0791245624,
            0.0798541158,
            0.0805836618,
            0.0813132152,
            0.0820427611,
            0.0827723145,
            0.0835018605,
            0.0842314139,
            0.0849609599,
            0.0856905133,
            0.0864200592,
            0.0871496126,
            0.0878791586,
            0.0878619254,
            0.0871323794,
            0.086402826,
            0.0856732801,
            0.0849437267,
            0.0842141807,
            0.0834846273,
            0.0827550814,
            0.082025528,
            0.081295982,
            0.0805664286,
            0.0798368827,
            0.0791073292,
            0.0783777833,
            0.0776482299,
            0.0769186839,
            0.0767520964,
            0.0774816424,
            0.0782111958,
            0.0789407417,
            0.0796702951,
            0.0803998411,
            0.081129387,
            0.0818589404,
            0.0825884938,
            0.0833180398,
            0.0840475857,
            0.0847771391,
            0.0855066851,
            0.0862362385,
            0.0869657844,
            0.0876953378,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0883329734,
            0.0890625268,
            0.0897920728,
            0.0905216262,
            0.0912511721,
            0.0919807255,
            0.0927102715,
            0.0934398249,
            0.0941693708,
            0.0948989242,
            0.0956284702,
            0.0963580236,
            0.0970875695,
            0.0978171229,
            0.0985466689,
            0.0992762148,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100643404,
            0.101372957,
            0.102102503,
            0.102832057,
            0.103561603,
            0.104291156,
            0.105020702,
            0.105750255,
            0.106479801,
            0.107209355,
            0.107938901,
            0.108668454,
            0.109398,
            0.110127553,
            0.110857099,
            0.111586653,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.11139708,
            0.110667534,
            0.109937981,
            0.109208435,
            0.108478881,
            0.107749335,
            0.107019782,
            0.106290236,
            0.105560683,
            0.104831137,
            0.104101583,
            0.103372037,
            0.102642484,
            0.101912938,
            0.101183385,
            0.100453839,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100183845,
            0.100913398,
            0.101642944,
            0.102372497,
            0.103102043,
            0.103831597,
            0.104561143,
            0.105290696,
            0.106020242,
            0.106749795,
            0.107479341,
            0.108208895,
            0.108938441,
            0.109667994,
            0.11039754,
            0.111127093,
            0.111856639,
            0.112586193,
            0.113315739,
            0.114045292,
            0.114774838,
            0.115504391,
            0.116233937,
            0.116963491,
            0.117693037,
            0.11842259,
            0.119152136,
            0.11988169,
            0.120611235,
            0.121340781,
            0.122070335,
            0.122799888
          ],
          [
            0.139215708,
            0.139945254,
            0.1406748,
            0.141404361,
            0.142133906,
            0.142863452,
            0.143592998,
            0.144322559,
            0.145052105,
            0.145781651,
            0.146511197,
            0.147240758,
            0.147970304,
            0.14869985,
            0.149429396,
            0.150158957,
            0.150888503,
            0.152255684,
            0.153714791,
            0.155173883,
            0.15663299,
            0.158092082,
            0.159551188,
            0.16101028,
            0.162469387,
            0.163928479,
            0.165387586,
            0.166846678,
            0.168305784,
            0.169764876,
            0.171223983,
            0.172683075,
            0.174142182,
            0.175783187,
            0.177485466,
            0.17918776,
            0.180890039,
            0.182592332,
            0.184294611,
            0.185996905,
            0.187699184,
            0.189401478,
            0.191103756,
            0.19280605,
            0.194508329,
            0.196210623,
            0.197912902,
            0.199615195,
            0.201317474,
            0.202414677,
            0.203144222,
            0.203873768,
            0.204603314,
            0.20533286,
            0.206062406,
            0.206791952,
            0.207521498,
            0.208251044,
            0.20898059,
            0.209710136,
            0.210439682,
            0.211169228,
            0.211898774,
            0.21262832,
            0.213357866,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213903591,
            0.214633137,
            0.215362683,
            0.216092229,
            0.21682179,
            0.217551336,
            0.218280882,
            0.219010428,
            0.219739988,
            0.220469534,
            0.22119908,
            0.221928626,
            0.222658187,
            0.223387733,
            0.224117279,
            0.224846825,
            0.225576386,
            0.226305932,
            0.227035478,
            0.227765024,
            0.228494585,
            0.229224131,
            0.229953676,
            0.230683222,
            0.231412783,
            0.232142329,
            0.232871875,
            0.233601421,
            0.234330982,
            0.235060528,
            0.235790074,
            0.23651962,
            0.237249166,
            0.237978727,
            0.238708273,
            0.239437819,
            0.240167364,
            0.240896925,
            0.241626471,
            0.242356017,
            0.243085563,
            0.243815124,
            0.24454467,
            0.245274216,
            0.246003762,
            0.246733323,
            0.247462869,
            0.248192415,
            0.248921961,
            0.249651521,
            0.250381082,
            0.251110613,
            0.251840174,
            0.252569735,
            0.253299296,
            0.254028827,
            0.254758388,
            0.255487949,
            0.25621751,
            0.256947041,
            0.257676601,
            0.258406162,
            0.259135723,
            0.259865254,
            0.260594815,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.26052013,
            0.259790599,
            0.259061038,
            0.258331478,
            0.257601917,
            0.256872386,
            0.256142825,
            0.255413264,
            0.254683703,
            0.253954172,
            0.253224611,
            0.25249505,
            0.25176549,
            0.251035959,
            0.250306398,
            0.249576837,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.24973768,
            0.250467241,
            0.251196802,
            0.251926333,
            0.252655894,
            0.253385454,
            0.254115015,
            0.254844546,
            0.255574107,
            0.256303668,
            0.257033229,
            0.25776276,
            0.258492321,
            0.259221882,
            0.259951442,
            0.260680974,
            0.26161927,
            0.262591988,
            0.263564736,
            0.264537454,
            0.265510201,
            0.266482949,
            0.267455667,
            0.268428415,
            0.269401133,
            0.270373881,
            0.271346629,
            0.272319347,
            0.273292094,
            0.274264842,
            0.27523756,
            0.276210308,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276248604,
            0.275275856,
            0.274303138,
            0.27333039,
            0.272357643,
            0.271384925,
            0.270412177,
            0.269439459,
            0.268466711,
            0.267493963,
            0.266521245,
            0.265548497,
            0.26457575,
            0.263603032,
            0.262630284,
            0.261657566,
            0.260635018,
            0.259175926,
            0.257716835,
            0.256257713,
            0.254798621,
            0.253339529,
            0.251880407,
            0.250421315,
            0.248962209,
            0.247503102,
            0.246043995,
            0.244584903,
            0.243125796,
            0.24166669,
            0.240207583,
            0.238748491,
            0.237289384,
            0.235830292,
            0.234371185,
            0.232912093,
            0.231452987,
            0.229993895,
            0.228534788,
            0.227075696,
            0.225616589,
            0.224157497,
            0.22269839,
            0.221239299,
            0.219780192,
            0.2183211,
            0.216861993,
            0.215402901,
            0.213943794,
            0.212277904,
            0.21057561,
            0.208873332,
            0.207171053,
            0.205468774,
            0.20376648,
            0.202064201,
            0.200361922,
            0.198659644,
            0.19695735,
            0.195255071,
            0.193552792,
            0.191850513,
            0.190148234,
            0.188445941,
            0.186743662,
            0.185217544,
            0.183758453,
            0.182299361,
            0.180840254,
            0.179381162,
            0.17792207,
            0.176462978,
            0.175003871,
            0.173544779,
            0.172085688,
            0.170626596,
            0.169167489,
            0.167708397,
            0.166249305,
            0.164790213,
            0.163331121,
            0.161872014,
            0.160412908,
            0.158953801,
            0.157494709,
            0.156035602,
            0.154576495,
            0.153117403,
            0.151658297,
            0.15019919,
            0.148740083,
            0.147280991,
            0.145821884,
            0.144362777,
            0.142903671,
            0.141444579,
            0.139985472,
            0.138756156,
            0.137783423,
            0.13681069,
            0.135837957,
            0.134865224,
            0.133892491,
            0.132919759,
            0.131947026,
            0.130974293,
            0.13000156,
            0.129028827,
            0.128056094,
            0.127083361,
            0.126110628,
            0.125137895,
            0.124165155,
            0.123276673,
            0.122547127,
            0.121817574,
            0.121088028,
            0.120358482,
            0.119628929,
            0.118899383,
            0.118169829,
            0.117440283,
            0.11671073,
            0.115981184,
            0.115251631,
            0.114522085,
            0.113792531,
            0.113062985,
            0.112333432,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111626863,
            0.110167764,
            0.108708665,
            0.107249565,
            0.105790466,
            0.104331367,
            0.102872267,
            0.101413168,
            0.0999540687,
            0.0984949693,
            0.09703587,
            0.0955767706,
            0.0941176713,
            0.0926585719,
            0.0911994725,
            0.0897403732,
            0.0882812738,
            0.0875287503,
            0.0867991969,
            0.0860696509,
            0.0853400975,
            0.0846105516,
            0.0838809982,
            0.0831514522,
            0.0824218988,
            0.0816923529,
            0.0809627995,
            0.0802332535,
            0.0795037001,
            0.0787741542,
            0.0780446008,
            0.0773150548,
            0.0765855014,
            0.0756510645,
            0.0746783316,
            0.0737055987,
            0.0727328658,
            0.0717601329,
            0.0707874,
            0.0698146671,
            0.0688419342,
            0.0678692013,
            0.0668964684,
            0.0659237355,
            0.0649510026,
            0.0639782697,
            0.0630055368,
            0.0620328076,
            0.0610600747,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0603535026,
            0.059623953,
            0.0588944033,
            0.0581648536,
            0.0574353039,
            0.0567057543,
            0.0559762046,
            0.0552466549,
            0.0545171052,
            0.0537875593,
            0.0530580059,
            0.0523284599,
            0.0515989065,
            0.0508693606,
            0.0501398072,
            0.0494102612,
            0.0486807115,
            0.0479511619,
            0.0472216122,
            0.0464920625,
            0.0457625128,
            0.0450329632,
            0.0443034135,
            0.0435738638,
            0.0428443141,
            0.0421147645,
            0.0413852148,
            0.0406556651,
            0.0399261154,
            0.0391965657,
            0.0384670161,
            0.0377374664,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0370998271,
            0.0363702774,
            0.0356407277,
            0.0349111781,
            0.0341816284,
            0.0334520787,
            0.0327225327,
            0.0319929793,
            0.0312634334,
            0.0305338819,
            0.0298043322,
            0.0290747825,
            0.0283452347,
            0.027615685,
            0.0268861353,
            0.0261565857,
            0.0254270341,
            0.0246974863,
            0.0239679366,
            0.023238387,
            0.0225088373,
            0.0217792876,
            0.0210497379,
            0.0203201883,
            0.0195906386,
            0.0188610889,
            0.0181315392,
            0.0174019895,
            0.0166724399,
            0.0159428902,
            0.0152133405,
            0.0144837908,
            0.0137542412,
            0.0120902555,
            0.0103879739,
            0.00868569128,
            0.0069834087,
            0.00528112613,
            0.00357884355,
            0.0018765619,
            0.000174279325,
            -0.00152800325,
            -0.0032302849,
            -0.00493256748,
            -0.00663485005,
            -0.00833713263,
            -0.0100394152,
            -0.0117416978,
            -0.0134439804,
            -0.0149432905,
            -0.0164023899,
            -0.0178614892,
            -0.0193205886,
            -0.0207796879,
            -0.0222387873,
            -0.0236978866,
            -0.025156986,
            -0.0266160835,
            -0.0280751828,
            -0.0295342822,
            -0.0309933815,
            -0.032452479,
            -0.0339115784,
            -0.0353706777,
            -0.0368297771,
            -0.0377718732,
            -0.0385014229,
            -0.0392309725,
            -0.0399605222,
            -0.0406900719,
            -0.0414196216,
            -0.0421491712,
            -0.0428787209,
            -0.0436082706,
            -0.0443378203,
            -0.0450673699,
            -0.0457969196,
            -0.0465264693,
            -0.047256019,
            -0.0479855686,
            -0.0487151183,
            -0.049444668,
            -0.0501742177,
            -0.0509037673,
            -0.051633317,
            -0.0523628667,
            -0.0530924164,
            -0.0538219661,
            -0.0545515157,
            -0.0552810654,
            -0.0560106114,
            -0.0567401648,
            -0.0574697107,
            -0.0581992641,
            -0.0589288101,
            -0.0596583635,
            -0.0603879094,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0613472387,
            -0.063049525,
            -0.0647518039,
            -0.0664540902,
            -0.068156369,
            -0.0698586553,
            -0.0715609342,
            -0.073263213,
            -0.0749654993,
            -0.0766677856,
            -0.0783700645,
            -0.0800723433,
            -0.0817746297,
            -0.0834769085,
            -0.0851791948,
            -0.0868814737,
            -0.0883846134,
            -0.0891141668,
            -0.0898437127,
            -0.0905732661,
            -0.0913028121,
            -0.0920323655,
            -0.0927619115,
            -0.0934914649,
            -0.0942210108,
            -0.0949505642,
            -0.0956801102,
            -0.0964096636,
            -0.0971392095,
            -0.0978687629,
            -0.0985983089,
            -0.0993278623,
            -0.0999425203,
            -0.0992129669,
            -0.0984834209,
            -0.0977538675,
            -0.0970243216,
            -0.0962947682,
            -0.0955652222,
            -0.0948356688,
            -0.0941061229,
            -0.0933765769,
            -0.0926470235,
            -0.0919174701,
            -0.0911879241,
            -0.0904583782,
            -0.0897288248,
            -0.0889992714,
            -0.0882697254,
            -0.0875401795,
            -0.0868106261,
            -0.0860810801,
            -0.0853515267,
            -0.0846219808,
            -0.0838924274,
            -0.0831628814,
            -0.082433328,
            -0.0817037821,
            -0.0809742287,
            -0.0802446827,
            -0.0795151293,
            -0.0787855834,
            -0.07805603,
            -0.077326484,
            -0.0765969306,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0757888779,
            -0.074816145,
            -0.0738434121,
            -0.0728706792,
            -0.0718979463,
            -0.0709252134,
            -0.0699524805,
            -0.0689797476,
            -0.0680070147,
            -0.0670342818,
            -0.0660615489,
            -0.065088816,
            -0.0641160831,
            -0.0631433502,
            -0.0621706173,
            -0.0611978844,
            -0.0603649318,
            -0.0596353821,
            -0.0589058325,
            -0.0581762828,
            -0.0574467331,
            -0.0567171834,
            -0.0559876338,
            -0.0552580878,
            -0.0545285344,
            -0.0537989885,
            -0.0530694351,
            -0.0523398891,
            -0.0516103357,
            -0.0508807898,
            -0.0501512364,
            -0.0494216904,
            -0.0486921407,
            -0.0479625911,
            -0.0472330414,
            -0.0465034917,
            -0.045773942,
            -0.0450443923,
            -0.0443148427,
            -0.043585293,
            -0.0428557433,
            -0.0421261936,
            -0.041396644,
            -0.0406670943,
            -0.0399375446,
            -0.0392079949,
            -0.0384784453,
            -0.0377488956,
            -0.0370193459,
            -0.0362897962,
            -0.0355602466,
            -0.0348306969,
            -0.0341011472,
            -0.0333715975,
            -0.0326420479,
            -0.0319124982,
            -0.0311829485,
            -0.0304533988,
            -0.0297238491,
            -0.0289942995,
            -0.0282647498,
            -0.0275352001,
            -0.0268056504,
            -0.0260761026,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254384652,
            -0.0247089155,
            -0.0239793658,
            -0.0232498161,
            -0.0225202665,
            -0.0217907168,
            -0.0210611671,
            -0.0203316174,
            -0.0196020678,
            -0.0188725181,
            -0.0181429684,
            -0.0174134187,
            -0.0166838691,
            -0.0159543194,
            -0.0152247697,
            -0.014495221,
            -0.0137656713,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137714157,
            -0.0145009654,
            -0.0152305141,
            -0.0159600638,
            -0.0166896135,
            -0.0174191631,
            -0.0181487128,
            -0.0188782625,
            -0.0196078122,
            -0.0203373618,
            -0.0210669115,
            -0.0217964612,
            -0.0225260109,
            -0.0232555605,
            -0.0239851102,
            -0.0247146599,
            -0.0254442096,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0250823069,
            -0.0243527573,
            -0.0236232076,
            -0.0228936579,
            -0.0221641082,
            -0.0214345586,
            -0.0207050089,
            -0.0199754592,
            -0.0192459095,
            -0.0185163599,
            -0.0177868102,
            -0.0170572605,
            -0.0163277108,
            -0.0155981621,
            -0.0148686124,
            -0.0141390627,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0138575826,
            -0.0145871323,
            -0.0153166819,
            -0.0160462316,
            -0.0167757813,
            -0.017505331,
            -0.0182348806,
            -0.0189644303,
            -0.01969398,
            -0.0204235297,
            -0.0211530775,
            -0.0218826272,
            -0.0226121768,
            -0.0233417265,
            -0.0240712762,
            -0.0248008259,
            -0.0255303755,
            -0.0262599252,
            -0.0269894749,
            -0.0277190246,
            -0.0284485742,
            -0.0291781239,
            -0.0299076736,
            -0.0306372233,
            -0.0313667729,
            -0.0320963226,
            -0.0328258723,
            -0.033555422,
            -0.0342849717,
            -0.0350145213,
            -0.035744071,
            -0.0364736207,
            -0.0372031704,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0369446687,
            -0.0362151191,
            -0.0354855694,
            -0.0347560197,
            -0.03402647,
            -0.0332969204,
            -0.0325673707,
            -0.031837821,
            -0.0311082713,
            -0.0303787217,
            -0.029649172,
            -0.0289196223,
            -0.0281900726,
            -0.0274605229,
            -0.0267309733,
            -0.0260014236,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0253637861,
            -0.0246342365,
            -0.0239046868,
            -0.0231751371,
            -0.0224455874,
            -0.0217160378,
            -0.0209864881,
            -0.0202569384,
            -0.0195273887,
            -0.0187978409,
            -0.0180682912,
            -0.0173387416,
            -0.0166091919,
            -0.0158796422,
            -0.0151500916,
            -0.0144205419,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0128293196,
            -0.0118565876,
            -0.0108838547,
            -0.0099111218,
            -0.0089383889,
            -0.007965656,
            -0.0069929231,
            -0.00602019019,
            -0.00504745729,
            -0.00407472439,
            -0.00310199242,
            -0.00212925952,
            -0.00115652662,
            -0.000183793716,
            0.000788939185,
            0.00176167209,
            0.00254100701,
            0.00327055668,
            0.0040001059,
            0.00472965557,
            0.00545920525,
            0.00618875492,
            0.0069183046,
            0.00764785428,
            0.00837740302,
            0.0091069527,
            0.0098365033,
            0.010566052,
            0.0112956017,
            0.0120251514,
            0.0127547011,
            0.0134842508,
            0.0147020817,
            0.016161181,
            0.0176202804,
            0.0190793797,
            0.0205384791,
            0.0219975784,
            0.0234566778,
            0.0249157771,
            0.0263748746,
            0.027833974,
            0.0292930733,
            0.0307521727,
            0.0322112739,
            0.0336703733,
            0.0351294726,
            0.036588572,
            0.0376513004,
            0.0383808501,
            0.0391103998,
            0.0398399495,
            0.0405694991,
            0.0412990451,
            0.0420285985,
            0.0427581444,
            0.0434876941,
            0.0442172438,
            0.0449467935,
            0.0456763431,
            0.0464058928,
            0.0471354425,
            0.0478649922,
            0.0485945418,
            0.0497300364,
            0.051432319,
            0.0531346016,
            0.0548368841,
            0.0565391667,
            0.0582414493,
            0.0599437281,
            0.0616460145,
            0.0633482933,
            0.0650505796,
            0.0667528585,
            0.0684551448,
            0.0701574236,
            0.0718597025,
            0.0735619888,
            0.0752642751,
            0.0771082491,
            0.0792969018,
            0.0814855471,
            0.0836741999,
            0.0858628452,
            0.0880514979,
            0.0902401432,
            0.0924287885,
            0.0946174413,
            0.0968060941,
            0.0989947394,
            0.101183385,
            0.103372037,
            0.105560683,
            0.107749335,
            0.109937981,
            0.112046212,
            0.113748491,
            0.115450777,
            0.117153056,
            0.118855335,
            0.120557621,
            0.1222599,
            0.123962186,
            0.125664473,
            0.127366751,
            0.12906903,
            0.130771309,
            0.132473603,
            0.134175882,
            0.135878161,
            0.137580439,
            0.139244437,
            0.139973983,
            0.140703529,
            0.141433075,
            0.142162621,
            0.142892182,
            0.143621728,
            0.144351274,
            0.14508082,
            0.145810381,
            0.146539927,
            0.147269472,
            0.147999018,
            0.148728579,
            0.149458125,
            0.150187671,
            0.150917217,
            0.151646778,
            0.152376324,
            0.153105885,
            0.153835431,
            0.154564992,
            0.155294538,
            0.156024098,
            0.156753644,
            0.157483205,
            0.158212751,
            0.158942312,
            0.159671858,
            0.160401419,
            0.161130965,
            0.161860526,
            0.162590072,
            0.163319618,
            0.164049163,
            0.164778709,
            0.165508255,
            0.166237801,
            0.166967347,
            0.167696893,
            0.168426439,
            0.169155985,
            0.169885531,
            0.170615077,
            0.171344623,
            0.172074169,
            0.172803715,
            0.173533261,
            0.174262807,
            0.174992353,
            0.175721914,
            0.17645146,
            0.177181005,
            0.177910551,
            0.178640112,
            0.179369658,
            0.180099204,
            0.18082875,
            0.181558311,
            0.182287857,
            0.183017403,
            0.183746949,
            0.18447651,
            0.185206056,
            0.185935602,
            0.186795369,
            0.187768102,
            0.188740835,
            0.189713567,
            0.190686315,
            0.191659048,
            0.192631781,
            0.193604514,
            0.194577262,
            0.195549995,
            0.196522728,
            0.197495461,
            0.198468208,
            0.199440941,
            0.200413674,
            0.201386407,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.20216766,
            0.202897206,
            0.203626752,
            0.204356298,
            0.205085844,
            0.20581539,
            0.206544936,
            0.207274482,
            0.208004028,
            0.208733574,
            0.20946312,
            0.210192665,
            0.210922211,
            0.211651757,
            0.212381303,
            0.213110849,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.21370253,
            0.212972984,
            0.212243438,
            0.211513892,
            0.210784346,
            0.2100548,
            0.209325254,
            0.208595708,
            0.207866162,
            0.207136616,
            0.20640707,
            0.205677524,
            0.204947978,
            0.204218432,
            0.203488886,
            0.20275934,
            0.202029794,
            0.201080039,
            0.200107306,
            0.199134558,
            0.198161826,
            0.197189093,
            0.19621636,
            0.195243612,
            0.194270879,
            0.193298146,
            0.192325413,
            0.191352665,
            0.190379933,
            0.1894072,
            0.188434467,
            0.187461734,
            0.186488986,
            0.185705826,
            0.18497628,
            0.184246719,
            0.183517173,
            0.182787627,
            0.182058081,
            0.18132852,
            0.180598974,
            0.179869428,
            0.179139882,
            0.178410321,
            0.177680776,
            0.17695123,
            0.176221684,
            0.175492138,
            0.174762577,
            0.174033031,
            0.173303485,
            0.172573939,
            0.171844393,
            0.171114847,
            0.170385301,
            0.169655755,
            0.168926209,
            0.168196663,
            0.167467117,
            0.166737571,
            0.166008025,
            0.165278479,
            0.164548934,
            0.163819388,
            0.163089842,
            0.161462247,
            0.159030408,
            0.156598568,
            0.154166728,
            0.151734903,
            0.149303064,
            0.146871224,
            0.144439399,
            0.14200756,
            0.13957572,
            0.13714388,
            0.13471204,
            0.132280216,
            0.129848376,
            0.127416536,
            0.124984711,
            0.122943498,
            0.121484399,
            0.120025299,
            0.1185662,
            0.117107101,
            0.115648001,
            0.114188902,
            0.112729803,
            0.111270703,
            0.109811604,
            0.108352505,
            0.106893405,
            0.105434306,
            0.103975207,
            0.102516107,
            0.101057008,
            0.0997989699,
            0.0990694165,
            0.0983398706,
            0.0976103172,
            0.0968807712,
            0.0961512178,
            0.0954216719,
            0.0946921185,
            0.0939625725,
            0.0932330191,
            0.0925034732,
            0.0917739198,
            0.0910443738,
            0.0903148204,
            0.0895852745,
            0.0888557211,
            0.0881261751,
            0.0873966217,
            0.0866670758,
            0.0859375224,
            0.0852079764,
            0.084478423,
            0.083748877,
            0.0830193236,
            0.0822897777,
            0.0815602243,
            0.0808306783,
            0.0801011249,
            0.079371579,
            0.0786420256,
            0.0779124796,
            0.0771829337,
            0.0764476359,
            0.075474903,
            0.0745021701,
            0.0735294372,
            0.0725567043,
            0.0715839714,
            0.0706112385,
            0.0696385056,
            0.0686657727,
            0.0676930398,
            0.0667203069,
            0.065747574,
            0.0647748411,
            0.0638021082,
            0.0628293753,
            0.0618566424,
            0.0608839095,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0609222092,
            0.0618949421,
            0.0628676713,
            0.0638404042,
            0.0648131371,
            0.06578587,
            0.0667586029,
            0.0677313358,
            0.0687040687,
            0.0696768016,
            0.0706495345,
            0.0716222674,
            0.0725950003,
            0.0735677332,
            0.0745404661,
            0.075513199,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0770278275,
            0.0777573809,
            0.0784869269,
            0.0792164803,
            0.0799460262,
            0.0806755796,
            0.0814051256,
            0.082134679,
            0.0828642249,
            0.0835937709,
            0.0843233243,
            0.0850528777,
            0.0857824236,
            0.0865119696,
            0.087241523,
            0.0879710764,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0878619254,
            0.0871323794,
            0.086402826,
            0.0856732801,
            0.0849437267,
            0.0842141807,
            0.0834846273,
            0.0827550814,
            0.082025528,
            0.081295982,
            0.0805664286,
            0.0798368827,
            0.0791073292,
            0.0783777833,
            0.0776482299,
            0.0769186839,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0765682682,
            0.0772978216,
            0.0780273676,
            0.078756921,
            0.0794864669,
            0.0802160203,
            0.0809455663,
            0.0816751197,
            0.0824046656,
            0.0831342191,
            0.083863765,
            0.0845933184,
            0.0853228644,
            0.0860524178,
            0.0867819637,
            0.0875115097,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0888786986,
            0.089608252,
            0.090337798,
            0.0910673514,
            0.0917968974,
            0.0925264508,
            0.0932559967,
            0.0939855501,
            0.0947150961,
            0.0954446495,
            0.0961741954,
            0.0969037488,
            0.0976332948,
            0.0983628482,
            0.0990923941,
            0.0998219475,
            0.100551493,
            0.101281047,
            0.102010593,
            0.102740146,
            0.103469692,
            0.104199246,
            0.104928792,
            0.105658345,
            0.106387891,
            0.107117444,
            0.10784699,
            0.108576536,
            0.10930609,
            0.110035643,
            0.110765189,
            0.111494735,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111856639,
            0.112586193,
            0.113315739,
            0.114045292,
            0.114774838,
            0.115504391,
            0.116233937,
            0.116963491,
            0.117693037,
            0.11842259,
            0.119152136,
            0.11988169,
            0.120611235,
            0.121340781,
            0.122070335,
            0.122799888
          ],
          [
            0.139215708,
            0.139945254,
            0.1406748,
            0.141404361,
            0.142133906,
            0.142863452,
            0.143592998,
            0.144322559,
            0.145052105,
            0.145781651,
            0.146511197,
            0.147240758,
            0.147970304,
            0.14869985,
            0.149429396,
            0.150158957,
            0.150888503,
            0.152255684,
            0.153714791,
            0.155173883,
            0.15663299,
            0.158092082,
            0.159551188,
            0.16101028,
            0.162469387,
            0.163928479,
            0.165387586,
            0.166846678,
            0.168305784,
            0.169764876,
            0.171223983,
            0.172683075,
            0.174142182,
            0.175783187,
            0.177485466,
            0.17918776,
            0.180890039,
            0.182592332,
            0.184294611,
            0.185996905,
            0.187699184,
            0.189401478,
            0.191103756,
            0.19280605,
            0.194508329,
            0.196210623,
            0.197912902,
            0.199615195,
            0.201317474,
            0.202414677,
            0.203144222,
            0.203873768,
            0.204603314,
            0.20533286,
            0.206062406,
            0.206791952,
            0.207521498,
            0.208251044,
            0.20898059,
            0.209710136,
            0.210439682,
            0.211169228,
            0.211898774,
            0.21262832,
            0.213357866,
            0.214087412,
            0.214816958,
            0.215546504,
            0.216276065,
            0.21700561,
            0.217735156,
            0.218464702,
            0.219194263,
            0.219923809,
            0.220653355,
            0.221382901,
            0.222112462,
            0.222842008,
            0.223571554,
            0.2243011,
            0.225030661,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225846365,
            0.227305472,
            0.228764564,
            0.230223671,
            0.231682763,
            0.233141869,
            0.234600961,
            0.236060068,
            0.23751916,
            0.238978267,
            0.240437359,
            0.241896465,
            0.243355557,
            0.244814664,
            0.246273756,
            0.247732863,
            0.249105796,
            0.249835342,
            0.250564903,
            0.251294464,
            0.252023995,
            0.252753556,
            0.253483117,
            0.254212677,
            0.254942209,
            0.255671769,
            0.25640133,
            0.257130861,
            0.257860422,
            0.258589983,
            0.259319544,
            0.260049105,
            0.260778636,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.261626929,
            0.262599647,
            0.263572395,
            0.264545113,
            0.265517861,
            0.266490608,
            0.267463326,
            0.268436074,
            0.269408822,
            0.27038154,
            0.271354288,
            0.272327006,
            0.273299754,
            0.274272501,
            0.275245219,
            0.276217967,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.275995851,
            0.275023103,
            0.274050355,
            0.273077637,
            0.272104889,
            0.271132171,
            0.270159423,
            0.269186676,
            0.268213958,
            0.26724121,
            0.266268492,
            0.265295744,
            0.264322996,
            0.263350278,
            0.26237753,
            0.261404783,
            0.26052013,
            0.259790599,
            0.259061038,
            0.258331478,
            0.257601917,
            0.256872386,
            0.256142825,
            0.255413264,
            0.254683703,
            0.253954172,
            0.253224611,
            0.25249505,
            0.25176549,
            0.251035959,
            0.250306398,
            0.249576837,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.24973768,
            0.250467241,
            0.251196802,
            0.251926333,
            0.252655894,
            0.253385454,
            0.254115015,
            0.254844546,
            0.255574107,
            0.256303668,
            0.257033229,
            0.25776276,
            0.258492321,
            0.259221882,
            0.259951442,
            0.260680974,
            0.26161927,
            0.262591988,
            0.263564736,
            0.264537454,
            0.265510201,
            0.266482949,
            0.267455667,
            0.268428415,
            0.269401133,
            0.270373881,
            0.271346629,
            0.272319347,
            0.273292094,
            0.274264842,
            0.27523756,
            0.276210308,
            0.277004957,
            0.277734488,
            0.278464049,
            0.27919358,
            0.279923141,
            0.280652672,
            0.281382233,
            0.282111764,
            0.282841325,
            0.283570856,
            0.284300417,
            0.285029948,
            0.285759509,
            0.28648904,
            0.287218601,
            0.287948132,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288068771,
            0.28733924,
            0.286609679,
            0.285880148,
            0.285150588,
            0.284421057,
            0.283691496,
            0.282961965,
            0.282232404,
            0.281502873,
            0.280773312,
            0.280043781,
            0.27931422,
            0.278584689,
            0.277855128,
            0.277125597,
            0.276296467,
            0.274594188,
            0.272891879,
            0.2711896,
            0.269487321,
            0.267785013,
            0.266082734,
            0.264380455,
            0.262678146,
            0.260975868,
            0.259273589,
            0.25757128,
            0.255869001,
            0.254166692,
            0.252464414,
            0.250762135,
            0.249059826,
            0.247594997,
            0.24613589,
            0.244676799,
            0.243217692,
            0.2417586,
            0.240299493,
            0.238840401,
            0.237381294,
            0.235922202,
            0.234463096,
            0.233004004,
            0.231544897,
            0.230085805,
            0.228626698,
            0.227167606,
            0.2257085,
            0.224249408,
            0.222790316,
            0.221331209,
            0.219872117,
            0.218413025,
            0.216953933,
            0.215494841,
            0.214035735,
            0.212576643,
            0.211117551,
            0.209658444,
            0.208199352,
            0.20674026,
            0.205281168,
            0.203822076,
            0.20236297,
            0.200727716,
            0.199025422,
            0.197323143,
            0.19562085,
            0.193918571,
            0.192216277,
            0.190513998,
            0.188811705,
            0.187109426,
            0.185407132,
            0.183704853,
            0.182002559,
            0.18030028,
            0.178597987,
            0.176895708,
            0.175193414,
            0.17363666,
            0.172177568,
            0.170718461,
            0.169259369,
            0.167800263,
            0.166341171,
            0.164882064,
            0.163422972,
            0.161963865,
            0.160504773,
            0.159045666,
            0.157586575,
            0.156127468,
            0.154668376,
            0.153209269,
            0.151750177,
            0.150635749,
            0.149906188,
            0.149176642,
            0.148447096,
            0.14771755,
            0.14698799,
            0.146258444,
            0.145528898,
            0.144799352,
            0.144069791,
            0.143340245,
            0.142610699,
            0.141881153,
            0.141151607,
            0.140422046,
            0.1396925,
            0.138878703,
            0.13790597,
            0.136933237,
            0.135960504,
            0.134987772,
            0.134015039,
            0.133042306,
            0.132069573,
            0.13109684,
            0.130124107,
            0.129151374,
            0.128178641,
            0.127205908,
            0.126233175,
            0.125260442,
            0.12428771,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123391569,
            0.121932469,
            0.12047337,
            0.119014271,
            0.117555171,
            0.116096072,
            0.114636973,
            0.113177873,
            0.111718774,
            0.110259674,
            0.108800575,
            0.107341476,
            0.105882376,
            0.104423277,
            0.102964178,
            0.101505078,
            0.100045979,
            0.0992934555,
            0.0985639021,
            0.0978343561,
            0.0971048027,
            0.0963752568,
            0.0956457034,
            0.0949161574,
            0.094186604,
            0.0934570581,
            0.0927275047,
            0.0919979587,
            0.0912684053,
            0.0905388594,
            0.089809306,
            0.08907976,
            0.0883502066,
            0.0868011117,
            0.0850988328,
            0.0833965465,
            0.0816942677,
            0.0799919814,
            0.0782897025,
            0.0765874162,
            0.0748851374,
            0.0731828511,
            0.0714805722,
            0.0697782859,
            0.0680760071,
            0.0663737208,
            0.0646714419,
            0.0629691631,
            0.0612668768,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0603535026,
            0.059623953,
            0.0588944033,
            0.0581648536,
            0.0574353039,
            0.0567057543,
            0.0559762046,
            0.0552466549,
            0.0545171052,
            0.0537875593,
            0.0530580059,
            0.0523284599,
            0.0515989065,
            0.0508693606,
            0.0501398072,
            0.0494102612,
            0.0486807115,
            0.0479511619,
            0.0472216122,
            0.0464920625,
            0.0457625128,
            0.0450329632,
            0.0443034135,
            0.0435738638,
            0.0428443141,
            0.0421147645,
            0.0413852148,
            0.0406556651,
            0.0399261154,
            0.0391965657,
            0.0384670161,
            0.0377374664,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0370998271,
            0.0363702774,
            0.0356407277,
            0.0349111781,
            0.0341816284,
            0.0334520787,
            0.0327225327,
            0.0319929793,
            0.0312634334,
            0.0305338819,
            0.0298043322,
            0.0290747825,
            0.0283452347,
            0.027615685,
            0.0268861353,
            0.0261565857,
            0.0253638458,
            0.0239047464,
            0.022445647,
            0.0209865477,
            0.0195274483,
            0.0180683509,
            0.0166092515,
            0.0151501512,
            0.0136910519,
            0.0122319534,
            0.0107728541,
            0.00931375474,
            0.00785465539,
            0.00639555603,
            0.00493645668,
            0.00347735733,
            0.00201825798,
            0.000325550558,
            -0.00137673179,
            -0.0030790139,
            -0.00478129648,
            -0.00648357905,
            -0.00818586163,
            -0.00988814328,
            -0.0115904259,
            -0.0132927084,
            -0.0149949901,
            -0.0166972727,
            -0.0183995552,
            -0.0201018378,
            -0.0218041204,
            -0.023506403,
            -0.0252086855,
            -0.0267079957,
            -0.028167095,
            -0.0296261944,
            -0.0310852937,
            -0.0325443931,
            -0.0340034924,
            -0.0354625918,
            -0.0369216911,
            -0.0383807868,
            -0.0398398861,
            -0.0412989855,
            -0.0427580848,
            -0.0442171842,
            -0.0456762835,
            -0.0471353829,
            -0.0485944822,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.050011456,
            -0.0517137386,
            -0.0534160212,
            -0.0551183037,
            -0.0568205863,
            -0.0585228689,
            -0.0602251515,
            -0.0619274341,
            -0.0636297166,
            -0.0653319955,
            -0.0670342818,
            -0.0687365606,
            -0.0704388469,
            -0.0721411258,
            -0.0738434121,
            -0.075545691,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0769530907,
            -0.0784121901,
            -0.0798712894,
            -0.0813303888,
            -0.0827894881,
            -0.0842485875,
            -0.0857076868,
            -0.0871667862,
            -0.0886258855,
            -0.0900849849,
            -0.0915440843,
            -0.0930031836,
            -0.094462283,
            -0.0959213823,
            -0.0973804817,
            -0.098839581,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0994887054,
            -0.098759152,
            -0.098029606,
            -0.0973000526,
            -0.0965705067,
            -0.0958409607,
            -0.0951114073,
            -0.0943818614,
            -0.093652308,
            -0.092922762,
            -0.0921932086,
            -0.0914636627,
            -0.0907341093,
            -0.0900045633,
            -0.0892750099,
            -0.088545464,
            -0.0878159106,
            -0.0870863646,
            -0.0863568112,
            -0.0856272653,
            -0.0848977119,
            -0.0841681659,
            -0.0834386125,
            -0.0827090666,
            -0.0819795132,
            -0.0812499672,
            -0.0805204138,
            -0.0797908679,
            -0.0790613145,
            -0.0783317685,
            -0.0776022151,
            -0.0768726692,
            -0.0757065341,
            -0.0740042552,
            -0.0723019689,
            -0.0705996901,
            -0.0688974112,
            -0.0671951249,
            -0.0654928461,
            -0.0637905598,
            -0.0620882772,
            -0.0603859946,
            -0.0586837158,
            -0.0569814295,
            -0.0552791506,
            -0.0535768643,
            -0.0518745854,
            -0.0501722991,
            -0.0487840511,
            -0.0480545014,
            -0.0473249517,
            -0.0465954021,
            -0.0458658524,
            -0.0451363027,
            -0.044406753,
            -0.0436772034,
            -0.0429476537,
            -0.042218104,
            -0.0414885543,
            -0.0407590047,
            -0.040029455,
            -0.0392999053,
            -0.0385703556,
            -0.0378408059,
            -0.0371112563,
            -0.0363817066,
            -0.0356521569,
            -0.0349226072,
            -0.0341930613,
            -0.0334635079,
            -0.0327339619,
            -0.0320044123,
            -0.0312748626,
            -0.030545311,
            -0.0298157614,
            -0.0290862136,
            -0.0283566639,
            -0.0276271142,
            -0.0268975645,
            -0.0261680149,
            -0.0254384652,
            -0.0247089155,
            -0.0239793658,
            -0.0232498161,
            -0.0225202665,
            -0.0217907168,
            -0.0210611671,
            -0.0203316174,
            -0.0196020678,
            -0.0188725181,
            -0.0181429684,
            -0.0174134187,
            -0.0166838691,
            -0.0159543194,
            -0.0152247697,
            -0.014495221,
            -0.0137656713,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0139552392,
            -0.0146847889,
            -0.0154143386,
            -0.0161438882,
            -0.0168734379,
            -0.0176029876,
            -0.0183325373,
            -0.0190620869,
            -0.0197916366,
            -0.0205211863,
            -0.021250736,
            -0.0219802856,
            -0.0227098353,
            -0.023439385,
            -0.0241689328,
            -0.0248984825,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254442096,
            -0.0247146599,
            -0.0239851102,
            -0.0232555605,
            -0.0225260109,
            -0.0217964612,
            -0.0210669115,
            -0.0203373618,
            -0.0196078122,
            -0.0188782625,
            -0.0181487128,
            -0.0174191631,
            -0.0166896135,
            -0.0159600638,
            -0.015230515,
            -0.0145009654,
            -0.0137714157,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0129365502,
            -0.0119638173,
            -0.0109910853,
            -0.0100183524,
            -0.00904561952,
            -0.00807288662,
            -0.00710015371,
            -0.00612742081,
            -0.00515468791,
            -0.00418195501,
            -0.00320922211,
            -0.00223648921,
            -0.00126375724,
            -0.000291024335,
            0.000681708567,
            0.00165444147,
            0.00129445374,
            0.00032172096,
            -0.000651011709,
            -0.00162374461,
            -0.00259647751,
            -0.00356920995,
            -0.00454194285,
            -0.00551467575,
            -0.00648740865,
            -0.00746014155,
            -0.00843287446,
            -0.00940560736,
            -0.0103783393,
            -0.0113510722,
            -0.0123238051,
            -0.013296538,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0139494948,
            -0.0146790445,
            -0.0154085942,
            -0.0161381438,
            -0.0168676935,
            -0.0175972432,
            -0.0183267929,
            -0.0190563425,
            -0.0197858922,
            -0.0205154419,
            -0.0212449897,
            -0.0219745412,
            -0.0227040909,
            -0.0234336387,
            -0.0241631884,
            -0.0248927381,
            -0.0256222878,
            -0.0263518374,
            -0.0270813871,
            -0.0278109368,
            -0.0285404865,
            -0.0292700361,
            -0.0299995858,
            -0.0307291355,
            -0.0314586833,
            -0.032188233,
            -0.0329177827,
            -0.0336473323,
            -0.034376882,
            -0.0351064317,
            -0.0358359814,
            -0.036565531,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0370365791,
            -0.0363070294,
            -0.0355774797,
            -0.0348479301,
            -0.0341183804,
            -0.0333888307,
            -0.032659281,
            -0.0319297314,
            -0.0312001817,
            -0.0304706339,
            -0.0297410842,
            -0.0290115327,
            -0.0282819849,
            -0.0275524352,
            -0.0268228855,
            -0.0260933358,
            -0.0253637861,
            -0.0246342365,
            -0.0239046868,
            -0.0231751371,
            -0.0224455874,
            -0.0217160378,
            -0.0209864881,
            -0.0202569384,
            -0.0195273887,
            -0.0187978409,
            -0.0180682912,
            -0.0173387416,
            -0.0166091919,
            -0.0158796422,
            -0.0151500916,
            -0.0144205419,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0121572148,
            -0.0104549322,
            -0.00875265058,
            -0.007050368,
            -0.00534808543,
            -0.00364580378,
            -0.0019435212,
            -0.000241238624,
            0.00146104395,
            0.00316332653,
            0.00486560911,
            0.00656789169,
            0.0082701724,
            0.00997245498,
            0.0116747376,
            0.0133770201,
            0.0143057127,
            0.0150352614,
            0.015764812,
            0.0164943617,
            0.0172239095,
            0.0179534592,
            0.0186830088,
            0.0194125585,
            0.0201421082,
            0.0208716579,
            0.0216012076,
            0.0223307572,
            0.0230603069,
            0.0237898566,
            0.0245194063,
            0.0252489559,
            0.0264667869,
            0.0279258862,
            0.0293849856,
            0.0308440849,
            0.0323031843,
            0.0337622836,
            0.035221383,
            0.0366804823,
            0.0381395817,
            0.039598681,
            0.0410577804,
            0.0425168797,
            0.0439759791,
            0.0454350784,
            0.0468941778,
            0.0483532771,
            0.0494160056,
            0.0501455553,
            0.050875105,
            0.0516046546,
            0.0523342043,
            0.0530637503,
            0.0537933037,
            0.0545228496,
            0.0552523993,
            0.055981949,
            0.0567114986,
            0.0574410483,
            0.058170598,
            0.0589001477,
            0.0596296974,
            0.060359247,
            0.0614947416,
            0.0631970242,
            0.064899303,
            0.0666015893,
            0.0683038682,
            0.0700061545,
            0.0717084333,
            0.0734107196,
            0.0751129985,
            0.0768152848,
            0.0785175636,
            0.0802198499,
            0.0819221288,
            0.0836244076,
            0.085326694,
            0.0870289803,
            0.0886604115,
            0.0901195109,
            0.0915786102,
            0.0930377096,
            0.0944968089,
            0.0959559083,
            0.0974150077,
            0.098874107,
            0.100333206,
            0.101792306,
            0.103251405,
            0.104710504,
            0.106169596,
            0.107628703,
            0.109087795,
            0.110546902,
            0.112046212,
            0.113748491,
            0.115450777,
            0.117153056,
            0.118855335,
            0.120557621,
            0.1222599,
            0.123962186,
            0.125664473,
            0.127366751,
            0.12906903,
            0.130771309,
            0.132473603,
            0.134175882,
            0.135878161,
            0.137580439,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139882073,
            0.140611619,
            0.141341165,
            0.142070711,
            0.142800272,
            0.143529817,
            0.144259363,
            0.144988909,
            0.14571847,
            0.146448016,
            0.147177562,
            0.147907108,
            0.148636669,
            0.149366215,
            0.150095761,
            0.150825307,
            0.151554868,
            0.152284414,
            0.153013974,
            0.15374352,
            0.154473081,
            0.155202627,
            0.155932188,
            0.156661734,
            0.157391295,
            0.158120841,
            0.158850402,
            0.159579948,
            0.160309508,
            0.161039054,
            0.161768615,
            0.162498161,
            0.163227707,
            0.163957253,
            0.164686799,
            0.165416345,
            0.166145891,
            0.166875437,
            0.167604983,
            0.168334529,
            0.169064075,
            0.169793621,
            0.170523167,
            0.171252713,
            0.171982259,
            0.172711805,
            0.17344135,
            0.174170896,
            0.174900442,
            0.175630003,
            0.176359549,
            0.177089095,
            0.177818641,
            0.178548202,
            0.179277748,
            0.180007294,
            0.18073684,
            0.181466401,
            0.182195947,
            0.182925493,
            0.183655038,
            0.184384599,
            0.185114145,
            0.185843691,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.18655026,
            0.187523007,
            0.18849574,
            0.189468473,
            0.190441206,
            0.191413954,
            0.192386687,
            0.19335942,
            0.194332153,
            0.1953049,
            0.196277633,
            0.197250366,
            0.198223099,
            0.199195832,
            0.20016858,
            0.201141313,
            0.201807678,
            0.200834945,
            0.199862197,
            0.198889464,
            0.197916731,
            0.196943998,
            0.195971251,
            0.194998518,
            0.194025785,
            0.193053052,
            0.192080304,
            0.191107571,
            0.190134838,
            0.189162105,
            0.188189358,
            0.187216625,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185613915,
            0.184884369,
            0.184154809,
            0.183425263,
            0.182695717,
            0.181966171,
            0.18123661,
            0.180507064,
            0.179777518,
            0.179047972,
            0.178318411,
            0.177588865,
            0.176859319,
            0.176129773,
            0.175400212,
            0.174670666,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174033031,
            0.173303485,
            0.172573939,
            0.171844393,
            0.171114847,
            0.170385301,
            0.169655755,
            0.168926209,
            0.168196663,
            0.167467117,
            0.166737571,
            0.166008025,
            0.165278479,
            0.164548934,
            0.163819388,
            0.163089842,
            0.161975414,
            0.160516307,
            0.159057215,
            0.157598108,
            0.156139001,
            0.154679894,
            0.153220803,
            0.151761696,
            0.150302589,
            0.148843482,
            0.14738439,
            0.145925283,
            0.144466177,
            0.14300707,
            0.141547978,
            0.140088871,
            0.138532117,
            0.136829838,
            0.135127544,
            0.133425266,
            0.131722987,
            0.130020708,
            0.128318414,
            0.126616135,
            0.124913856,
            0.12321157,
            0.121509291,
            0.119807005,
            0.118104726,
            0.116402447,
            0.114700161,
            0.112997875,
            0.111563675,
            0.110834122,
            0.110104576,
            0.109375022,
            0.108645476,
            0.107915923,
            0.107186377,
            0.106456824,
            0.105727278,
            0.104997724,
            0.104268178,
            0.103538625,
            0.102809079,
            0.102079526,
            0.10134998,
            0.100620426,
            0.0998908803,
            0.0991613269,
            0.0984317809,
            0.0977022275,
            0.0969726816,
            0.0962431282,
            0.0955135822,
            0.0947840288,
            0.0940544829,
            0.0933249295,
            0.0925953835,
            0.0918658301,
            0.0911362842,
            0.0904067308,
            0.0896771848,
            0.0889476389,
            0.0882180855,
            0.0874885321,
            0.0867589861,
            0.0860294402,
            0.0852998868,
            0.0845703408,
            0.0838407874,
            0.0831112415,
            0.0823816881,
            0.0816521421,
            0.0809225887,
            0.0801930428,
            0.0794634894,
            0.0787339434,
            0.07800439,
            0.0772748441,
            0.0765452906,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0760876462,
            0.0751149133,
            0.0741421804,
            0.0731694475,
            0.0721967146,
            0.0712239817,
            0.0702512488,
            0.0692785159,
            0.068305783,
            0.0673330501,
            0.0663603172,
            0.0653875843,
            0.0644148514,
            0.0634421185,
            0.0624693893,
            0.0614966564,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0609222092,
            0.0618949421,
            0.0628676713,
            0.0638404042,
            0.0648131371,
            0.06578587,
            0.0667586029,
            0.0677313358,
            0.0687040687,
            0.0696768016,
            0.0706495345,
            0.0716222674,
            0.0725950003,
            0.0735677332,
            0.0745404661,
            0.075513199,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0771197379,
            0.0778492913,
            0.0785788372,
            0.0793083906,
            0.0800379366,
            0.08076749,
            0.0814970359,
            0.0822265893,
            0.0829561353,
            0.0836856887,
            0.0844152346,
            0.085144788,
            0.085874334,
            0.0866038874,
            0.0873334333,
            0.0880629867,
            0.0887925327,
            0.0895220861,
            0.090251632,
            0.0909811854,
            0.0917107314,
            0.0924402848,
            0.0931698307,
            0.0938993841,
            0.0946289301,
            0.095358476,
            0.0960880294,
            0.0968175828,
            0.0975471288,
            0.0982766747,
            0.0990062281,
            0.0997357816,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0992532372,
            0.0977941453,
            0.096335046,
            0.0948759466,
            0.0934168473,
            0.0919577479,
            0.0904986486,
            0.0890395492,
            0.0875804499,
            0.0861213505,
            0.0846622512,
            0.0832031518,
            0.0817440525,
            0.0802849531,
            0.0788258538,
            0.0773667544,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0765682682,
            0.0772978216,
            0.0780273676,
            0.078756921,
            0.0794864669,
            0.0802160203,
            0.0809455663,
            0.0816751197,
            0.0824046656,
            0.0831342191,
            0.083863765,
            0.0845933184,
            0.0853228644,
            0.0860524178,
            0.0867819637,
            0.0875115097,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0888786986,
            0.089608252,
            0.090337798,
            0.0910673514,
            0.0917968974,
            0.0925264508,
            0.0932559967,
            0.0939855501,
            0.0947150961,
            0.0954446495,
            0.0961741954,
            0.0969037488,
            0.0976332948,
            0.0983628482,
            0.0990923941,
            0.0998219475,
            0.101102963,
            0.102562062,
            0.104021162,
            0.105480261,
            0.10693936,
            0.10839846,
            0.109857559,
            0.111316659,
            0.112775758,
            0.114234857,
            0.115693957,
            0.117153056,
            0.118612155,
            0.120071255,
            0.121530354,
            0.122989453,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123253696,
            0.12252415,
            0.121794596,
            0.12106505,
            0.120335504,
            0.119605951,
            0.118876398,
            0.118146852,
            0.117417306,
            0.116687752,
            0.115958206,
            0.115228653,
            0.114499107,
            0.113769554,
            0.113040008,
            0.112310454,
            0.11194855,
            0.112678103,
            0.113407649,
            0.114137203,
            0.114866748,
            0.115596302,
            0.116325848,
            0.117055401,
            0.117784947,
            0.118514501,
            0.119244047,
            0.1199736,
            0.120703146,
            0.121432699,
            0.122162245,
            0.122891799,
            0.123651981,
            0.124624714,
            0.125597447,
            0.12657018,
            0.127542913,
            0.128515646,
            0.129488379,
            0.130461112,
            0.131433845,
            0.132406577,
            0.13337931,
            0.134352043,
            0.135324776,
            0.136297509,
            0.137270242,
            0.138242975
          ],
          [
            0.150980413,
            0.151709959,
            0.15243952,
            0.153169066,
            0.153898627,
            0.154628173,
            0.155357733,
            0.156087279,
            0.15681684,
            0.157546386,
            0.158275947,
            0.159005493,
            0.159735054,
            0.1604646,
            0.161194161,
            0.161923707,
            0.162653267,
            0.164020449,
            0.165479541,
            0.166938648,
            0.16839774,
            0.169856831,
            0.171315923,
            0.17277503,
            0.174234122,
            0.175693214,
            0.177152306,
            0.178611398,
            0.180070505,
            0.181529596,
            0.182988688,
            0.184447795,
            0.185906887,
            0.187547892,
            0.189250171,
            0.19095245,
            0.192654729,
            0.194357023,
            0.196059301,
            0.19776158,
            0.199463859,
            0.201166153,
            0.202868432,
            0.204570711,
            0.20627299,
            0.207975283,
            0.209677562,
            0.211379841,
            0.21308212,
            0.214179322,
            0.214908868,
            0.215638414,
            0.216367975,
            0.217097521,
            0.217827067,
            0.218556613,
            0.219286174,
            0.22001572,
            0.220745265,
            0.221474811,
            0.222204372,
            0.222933918,
            0.223663464,
            0.22439301,
            0.225122571,
            0.225852117,
            0.226581663,
            0.227311209,
            0.22804077,
            0.228770316,
            0.229499862,
            0.230229408,
            0.230958968,
            0.231688514,
            0.23241806,
            0.233147606,
            0.233877167,
            0.234606713,
            0.235336259,
            0.236065805,
            0.236795366,
            0.237524912,
            0.238254458,
            0.238984004,
            0.23971355,
            0.24044311,
            0.241172656,
            0.241902202,
            0.242631763,
            0.243361309,
            0.244090855,
            0.244820401,
            0.245549947,
            0.246279508,
            0.247009054,
            0.2477386,
            0.248468146,
            0.249197707,
            0.249927253,
            0.250656813,
            0.251386374,
            0.252115905,
            0.252845466,
            0.253575027,
            0.254304588,
            0.255034119,
            0.25576368,
            0.256493241,
            0.257222801,
            0.257952332,
            0.258681893,
            0.259411454,
            0.260141015,
            0.260899276,
            0.261872023,
            0.262844741,
            0.263817489,
            0.264790237,
            0.265762955,
            0.266735703,
            0.267708421,
            0.268681169,
            0.269653916,
            0.270626634,
            0.271599382,
            0.2725721,
            0.273544848,
            0.274517596,
            0.275490314,
            0.276463062,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.277102619,
            0.27783215,
            0.278561711,
            0.279291242,
            0.280020803,
            0.280750334,
            0.281479895,
            0.282209426,
            0.282938987,
            0.283668518,
            0.284398079,
            0.28512761,
            0.285857171,
            0.286586702,
            0.287316263,
            0.288045794,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.287879199,
            0.287149668,
            0.286420107,
            0.285690576,
            0.284961015,
            0.284231484,
            0.283501923,
            0.282772392,
            0.282042831,
            0.2813133,
            0.280583739,
            0.279854208,
            0.279124647,
            0.278395116,
            0.277665555,
            0.276936024,
            0.276118398,
            0.27514565,
            0.274172932,
            0.273200184,
            0.272227436,
            0.271254718,
            0.270281971,
            0.269309223,
            0.268336505,
            0.267363757,
            0.266391039,
            0.265418291,
            0.264445543,
            0.263472825,
            0.262500077,
            0.26152733,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.261741817,
            0.262714535,
            0.263687283,
            0.264660001,
            0.265632749,
            0.266605496,
            0.267578214,
            0.268550962,
            0.26952371,
            0.270496428,
            0.271469176,
            0.272441894,
            0.273414642,
            0.274387389,
            0.275360107,
            0.276332855,
            0.277096868,
            0.277826399,
            0.278555959,
            0.279285491,
            0.280015051,
            0.280744582,
            0.281474143,
            0.282203674,
            0.282933235,
            0.283662766,
            0.284392327,
            0.285121858,
            0.285851419,
            0.28658095,
            0.287310511,
            0.288040042,
            0.288769603,
            0.289499164,
            0.290228695,
            0.290958256,
            0.291687816,
            0.292417347,
            0.293146908,
            0.293876439,
            0.294606,
            0.295335561,
            0.296065092,
            0.296794653,
            0.297524214,
            0.298253745,
            0.298983306,
            0.299712837,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.299833477,
            0.299103945,
            0.298374385,
            0.297644824,
            0.296915293,
            0.296185732,
            0.295456171,
            0.29472664,
            0.293997079,
            0.293267548,
            0.292537987,
            0.291808426,
            0.291078895,
            0.290349334,
            0.289619774,
            0.288890243,
            0.288061112,
            0.286358833,
            0.284656554,
            0.282954276,
            0.281251997,
            0.279549718,
            0.277847409,
            0.27614513,
            0.274442852,
            0.272740573,
            0.271038294,
            0.269336015,
            0.267633736,
            0.265931457,
            0.264229178,
            0.26252687,
            0.260824591,
            0.259359747,
            0.257900655,
            0.256441534,
            0.254982442,
            0.25352335,
            0.252064228,
            0.250605136,
            0.249146029,
            0.247686923,
            0.246227831,
            0.244768724,
            0.243309617,
            0.241850525,
            0.240391418,
            0.238932312,
            0.237473205,
            0.236014113,
            0.234555006,
            0.233095914,
            0.231636807,
            0.230177715,
            0.228718609,
            0.227259517,
            0.22580041,
            0.224341318,
            0.222882211,
            0.221423119,
            0.219964013,
            0.218504921,
            0.217045814,
            0.215586722,
            0.214127615,
            0.212492362,
            0.210790068,
            0.209087789,
            0.20738551,
            0.205683231,
            0.203980953,
            0.202278659,
            0.20057638,
            0.198874101,
            0.197171822,
            0.195469528,
            0.19376725,
            0.192064971,
            0.190362692,
            0.188660398,
            0.186958119,
            0.185837954,
            0.185108393,
            0.184378847,
            0.183649302,
            0.182919756,
            0.182190195,
            0.181460649,
            0.180731103,
            0.180001557,
            0.179271996,
            0.17854245,
            0.177812904,
            0.177083358,
            0.176353797,
            0.175624251,
            0.174894705,
            0.174165159,
            0.173435614,
            0.172706068,
            0.171976522,
            0.171246976,
            0.17051743,
            0.169787884,
            0.169058338,
            0.168328792,
            0.167599246,
            0.1668697,
            0.166140154,
            0.165410608,
            0.164681062,
            0.163951516,
            0.16322197,
            0.162492424,
            0.161762863,
            0.161033317,
            0.160303757,
            0.159574211,
            0.15884465,
            0.158115104,
            0.157385543,
            0.156655997,
            0.155926436,
            0.15519689,
            0.154467329,
            0.153737783,
            0.153008223,
            0.152278677,
            0.151549116,
            0.15081957,
            0.150090024,
            0.149360463,
            0.148630917,
            0.147901371,
            0.147171825,
            0.146442264,
            0.145712718,
            0.144983172,
            0.144253626,
            0.143524066,
            0.14279452,
            0.142064974,
            0.141335428,
            0.140605867,
            0.139876321,
            0.139123797,
            0.138151065,
            0.137178332,
            0.136205599,
            0.135232866,
            0.134260133,
            0.1332874,
            0.132314667,
            0.131341934,
            0.130369201,
            0.129396468,
            0.128423735,
            0.127451003,
            0.12647827,
            0.125505537,
            0.124532804,
            0.123560071,
            0.12211629,
            0.120657191,
            0.119198091,
            0.117738992,
            0.116279893,
            0.114820793,
            0.113361694,
            0.111902595,
            0.110443495,
            0.108984396,
            0.107525297,
            0.106066197,
            0.104607105,
            0.103147998,
            0.101688907,
            0.1002298,
            0.0987707078,
            0.097311601,
            0.0958525091,
            0.0943934098,
            0.0929343104,
            0.0914752111,
            0.0900161117,
            0.0885570124,
            0.087097913,
            0.0856388137,
            0.0841797143,
            0.082720615,
            0.0812615156,
            0.0798024163,
            0.0783433169,
            0.0768842176,
            0.0757736191,
            0.0748008862,
            0.0738281533,
            0.0728554204,
            0.0718826875,
            0.0709099546,
            0.0699372217,
            0.0689644888,
            0.0679917559,
            0.067019023,
            0.0660462901,
            0.0650735572,
            0.0641008243,
            0.0631280914,
            0.0621553585,
            0.0611826256,
            0.0603535026,
            0.059623953,
            0.0588944033,
            0.0581648536,
            0.0574353039,
            0.0567057543,
            0.0559762046,
            0.0552466549,
            0.0545171052,
            0.0537875593,
            0.0530580059,
            0.0523284599,
            0.0515989065,
            0.0508693606,
            0.0501398072,
            0.0494102612,
            0.0486807115,
            0.0479511619,
            0.0472216122,
            0.0464920625,
            0.0457625128,
            0.0450329632,
            0.0443034135,
            0.0435738638,
            0.0428443141,
            0.0421147645,
            0.0413852148,
            0.0406556651,
            0.0399261154,
            0.0391965657,
            0.0384670161,
            0.0377374664,
            0.0370079167,
            0.036278367,
            0.0355488174,
            0.0348192677,
            0.034089718,
            0.0333601683,
            0.0326306187,
            0.031901069,
            0.0311715193,
            0.0304419696,
            0.02971242,
            0.0289828703,
            0.0282533206,
            0.0275237709,
            0.0267942213,
            0.0260646716,
            0.0253351238,
            0.0246055741,
            0.0238760244,
            0.0231464747,
            0.0224169251,
            0.0216873754,
            0.0209578257,
            0.020228276,
            0.0194987264,
            0.0187691767,
            0.018039627,
            0.0173100773,
            0.0165805295,
            0.0158509798,
            0.0151214292,
            0.0143918796,
            0.0135780778,
            0.0118757952,
            0.0101735126,
            0.00847123004,
            0.00676894793,
            0.00506666582,
            0.00336438324,
            0.00166210067,
            -4.01819125e-5,
            -0.00174246356,
            -0.00344474614,
            -0.00514702871,
            -0.00684931129,
            -0.00855159387,
            -0.0102538764,
            -0.011956159,
            -0.0136584397,
            -0.015127114,
            -0.0165862124,
            -0.0180453118,
            -0.0195044111,
            -0.0209635105,
            -0.0224226099,
            -0.0238817092,
            -0.0253408086,
            -0.026799906,
            -0.0282590054,
            -0.0297181047,
            -0.0311772041,
            -0.0326363035,
            -0.0340954028,
            -0.0355545022,
            -0.0370136015,
            -0.0378637835,
            -0.0385933332,
            -0.0393228829,
            -0.0400524326,
            -0.0407819822,
            -0.0415115319,
            -0.0422410816,
            -0.0429706313,
            -0.0437001809,
            -0.0444297306,
            -0.0451592803,
            -0.04588883,
            -0.0466183797,
            -0.0473479293,
            -0.048077479,
            -0.0488070287,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.050011456,
            -0.0517137386,
            -0.0534160212,
            -0.0551183037,
            -0.0568205863,
            -0.0585228689,
            -0.0602251515,
            -0.0619274341,
            -0.0636297166,
            -0.0653319955,
            -0.0670342818,
            -0.0687365606,
            -0.0704388469,
            -0.0721411258,
            -0.0738434121,
            -0.075545691,
            -0.0768037364,
            -0.0775332823,
            -0.0782628357,
            -0.0789923817,
            -0.0797219351,
            -0.080451481,
            -0.0811810344,
            -0.0819105804,
            -0.0826401338,
            -0.0833696797,
            -0.0840992332,
            -0.0848287791,
            -0.0855583251,
            -0.0862878785,
            -0.0870174319,
            -0.0877469778,
            -0.0884765238,
            -0.0892060772,
            -0.0899356231,
            -0.0906651765,
            -0.0913947225,
            -0.0921242759,
            -0.0928538218,
            -0.0935833752,
            -0.0943129212,
            -0.0950424746,
            -0.0957720205,
            -0.0965015739,
            -0.0972311199,
            -0.0979606733,
            -0.0986902192,
            -0.0994197726,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100057408,
            -0.100786954,
            -0.101516508,
            -0.102246054,
            -0.102975599,
            -0.103705145,
            -0.104434699,
            -0.105164245,
            -0.105893791,
            -0.106623337,
            -0.107352883,
            -0.108082436,
            -0.108811982,
            -0.109541528,
            -0.110271081,
            -0.111000627,
            -0.111730173,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111253381,
            -0.110523835,
            -0.109794289,
            -0.109064735,
            -0.10833519,
            -0.107605644,
            -0.106876098,
            -0.106146544,
            -0.105416998,
            -0.104687452,
            -0.103957906,
            -0.10322836,
            -0.102498807,
            -0.101769261,
            -0.101039715,
            -0.100310162,
            -0.0995806158,
            -0.0988510698,
            -0.0981215164,
            -0.0973919705,
            -0.0966624171,
            -0.0959328711,
            -0.0952033177,
            -0.0944737718,
            -0.0937442183,
            -0.0930146724,
            -0.092285119,
            -0.091555573,
            -0.0908260196,
            -0.0900964737,
            -0.0893669203,
            -0.0886373743,
            -0.0874712393,
            -0.0857689604,
            -0.0840666741,
            -0.0823643953,
            -0.0806621164,
            -0.0789598301,
            -0.0772575513,
            -0.0755552649,
            -0.0738529861,
            -0.0721506998,
            -0.0704484209,
            -0.0687461346,
            -0.0670438558,
            -0.0653415695,
            -0.0636392906,
            -0.0619370043,
            -0.0605487563,
            -0.0598192066,
            -0.0590896569,
            -0.0583601072,
            -0.0576305576,
            -0.0569010079,
            -0.0561714582,
            -0.0554419085,
            -0.0547123589,
            -0.0539828092,
            -0.0532532595,
            -0.0525237098,
            -0.0517941602,
            -0.0510646105,
            -0.0503350608,
            -0.0496055111,
            -0.0488759615,
            -0.0481464118,
            -0.0474168621,
            -0.0466873124,
            -0.0459577665,
            -0.0452282131,
            -0.0444986671,
            -0.0437691174,
            -0.0430395678,
            -0.0423100181,
            -0.0415804684,
            -0.0408509187,
            -0.0401213691,
            -0.0393918194,
            -0.0386622697,
            -0.03793272,
            -0.0372031704,
            -0.0364736207,
            -0.035744071,
            -0.0350145213,
            -0.0342849717,
            -0.033555422,
            -0.0328258723,
            -0.0320963226,
            -0.0313667729,
            -0.0306372233,
            -0.0299076736,
            -0.0291781239,
            -0.0284485742,
            -0.0277190246,
            -0.0269894749,
            -0.0262599252,
            -0.0255303755,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0248927381,
            -0.0241631884,
            -0.0234336387,
            -0.0227040891,
            -0.0219745394,
            -0.0212449897,
            -0.0205154419,
            -0.0197858922,
            -0.0190563425,
            -0.0183267929,
            -0.0175972432,
            -0.0168676935,
            -0.0161381438,
            -0.0154085932,
            -0.0146790445,
            -0.0139494948,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0139552392,
            -0.0146847889,
            -0.0154143386,
            -0.0161438882,
            -0.0168734379,
            -0.0176029876,
            -0.0183325373,
            -0.0190620869,
            -0.0197916366,
            -0.0205211863,
            -0.021250736,
            -0.0219802856,
            -0.0227098353,
            -0.023439385,
            -0.0241689328,
            -0.0248984825,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254442096,
            -0.0247146599,
            -0.0239851102,
            -0.0232555605,
            -0.0225260109,
            -0.0217964612,
            -0.0210669115,
            -0.0203373618,
            -0.0196078122,
            -0.0188782625,
            -0.0181487128,
            -0.0174191631,
            -0.0166896135,
            -0.0159600638,
            -0.015230515,
            -0.0145009654,
            -0.0137714157,
            -0.0128140012,
            -0.0118412683,
            -0.0108685363,
            -0.00989580341,
            -0.00892307051,
            -0.0079503376,
            -0.0069776047,
            -0.0060048718,
            -0.0050321389,
            -0.004059406,
            -0.0030866731,
            -0.00211394019,
            -0.00114120822,
            -0.000168475322,
            0.000804257579,
            0.00177699048,
            0.0025524958,
            0.00328204548,
            0.00401159516,
            0.00474114483,
            0.00547069404,
            0.00620024372,
            0.0069297934,
            0.00765934307,
            0.00838889275,
            0.00911844242,
            0.0098479921,
            0.0105775418,
            0.0113070915,
            0.0120366402,
            0.0127661899,
            0.0134957395,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0133176604,
            0.0125881117,
            0.011858562,
            0.0111290123,
            0.0103994627,
            0.00966991298,
            0.0089403633,
            0.00821081363,
            0.00748126395,
            0.00675171427,
            0.00602216506,
            0.00529261492,
            0.00456306525,
            0.0038335165,
            0.00310396682,
            0.00237441715,
            0.00153955177,
            0.000566818984,
            -0.000405913685,
            -0.00137864659,
            -0.00235137949,
            -0.00332411192,
            -0.00429684483,
            -0.00526957773,
            -0.00624231063,
            -0.00721504353,
            -0.00818777643,
            -0.00916050933,
            -0.0101332413,
            -0.0111059742,
            -0.0120787071,
            -0.01305144,
            -0.0139494948,
            -0.0146790445,
            -0.0154085942,
            -0.0161381438,
            -0.0168676935,
            -0.0175972432,
            -0.0183267929,
            -0.0190563425,
            -0.0197858922,
            -0.0205154419,
            -0.0212449897,
            -0.0219745412,
            -0.0227040909,
            -0.0234336387,
            -0.0241631884,
            -0.0248927381,
            -0.0256222878,
            -0.0263518374,
            -0.0270813871,
            -0.0278109368,
            -0.0285404865,
            -0.0292700361,
            -0.0299995858,
            -0.0307291355,
            -0.0314586833,
            -0.032188233,
            -0.0329177827,
            -0.0336473323,
            -0.034376882,
            -0.0351064317,
            -0.0358359814,
            -0.036565531,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0370365791,
            -0.0363070294,
            -0.0355774797,
            -0.0348479301,
            -0.0341183804,
            -0.0333888307,
            -0.032659281,
            -0.0319297314,
            -0.0312001817,
            -0.0304706339,
            -0.0297410842,
            -0.0290115327,
            -0.0282819849,
            -0.0275524352,
            -0.0268228855,
            -0.0260933358,
            -0.0253637861,
            -0.0246342365,
            -0.0239046868,
            -0.0231751371,
            -0.0224455874,
            -0.0217160378,
            -0.0209864881,
            -0.0202569384,
            -0.0195273887,
            -0.0187978409,
            -0.0180682912,
            -0.0173387416,
            -0.0166091919,
            -0.0158796422,
            -0.0151500916,
            -0.0144205419,
            -0.0136795035,
            -0.0127067706,
            -0.0117340386,
            -0.0107613057,
            -0.00978857279,
            -0.00881583989,
            -0.00784310699,
            -0.00687037408,
            -0.00589764118,
            -0.00492490828,
            -0.00395217538,
            -0.00297944341,
            -0.00200671051,
            -0.00103397761,
            -6.12447038e-5,
            0.000911488198,
            0.0018842211,
            0.00263291877,
            0.00336246844,
            0.00409201812,
            0.0048215678,
            0.00555111701,
            0.00628066668,
            0.00701021636,
            0.00773976604,
            0.00846931525,
            0.00919886492,
            0.0099284146,
            0.0106579643,
            0.011387514,
            0.0121170636,
            0.0128466133,
            0.013576163,
            0.0143057127,
            0.0150352614,
            0.015764812,
            0.0164943617,
            0.0172239095,
            0.0179534592,
            0.0186830088,
            0.0194125585,
            0.0201421082,
            0.0208716579,
            0.0216012076,
            0.0223307572,
            0.0230603069,
            0.0237898566,
            0.0245194063,
            0.0252489559,
            0.0264667869,
            0.0279258862,
            0.0293849856,
            0.0308440849,
            0.0323031843,
            0.0337622836,
            0.035221383,
            0.0366804823,
            0.0381395817,
            0.039598681,
            0.0410577804,
            0.0425168797,
            0.0439759791,
            0.0454350784,
            0.0468941778,
            0.0483532771,
            0.0499444976,
            0.0516467802,
            0.0533490628,
            0.0550513454,
            0.056753628,
            0.0584559068,
            0.0601581931,
            0.061860472,
            0.0635627583,
            0.0652650371,
            0.0669673234,
            0.0686696023,
            0.0703718811,
            0.0720741674,
            0.0737764537,
            0.0754787326,
            0.0770795271,
            0.0785386264,
            0.0799977258,
            0.0814568251,
            0.0829159245,
            0.0843750238,
            0.0858341232,
            0.0872932225,
            0.0887523219,
            0.0902114213,
            0.0916705206,
            0.09312962,
            0.0945887193,
            0.0960478187,
            0.097506918,
            0.0989660174,
            0.100212567,
            0.10094212,
            0.101671666,
            0.102401219,
            0.103130765,
            0.103860319,
            0.104589865,
            0.105319418,
            0.106048964,
            0.106778517,
            0.107508063,
            0.108237617,
            0.108967163,
            0.109696716,
            0.110426262,
            0.111155815,
            0.111885361,
            0.112614915,
            0.113344461,
            0.114074014,
            0.11480356,
            0.115533113,
            0.116262659,
            0.116992213,
            0.117721759,
            0.118451312,
            0.119180858,
            0.119910412,
            0.120639957,
            0.121369511,
            0.122099057,
            0.12282861,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.124417916,
            0.125390649,
            0.126363382,
            0.127336115,
            0.128308848,
            0.12928158,
            0.130254313,
            0.131227046,
            0.132199779,
            0.133172512,
            0.134145245,
            0.135117978,
            0.136090711,
            0.137063444,
            0.138036177,
            0.139008909,
            0.139790162,
            0.140519708,
            0.141249254,
            0.1419788,
            0.142708361,
            0.143437907,
            0.144167453,
            0.144896999,
            0.14562656,
            0.146356106,
            0.147085652,
            0.147815198,
            0.148544759,
            0.149274305,
            0.15000385,
            0.150733396,
            0.151462957,
            0.152192503,
            0.152922064,
            0.15365161,
            0.154381171,
            0.155110717,
            0.155840278,
            0.156569824,
            0.157299384,
            0.15802893,
            0.158758491,
            0.159488037,
            0.160217598,
            0.160947144,
            0.161676705,
            0.162406251,
            0.163135797,
            0.163865343,
            0.164594889,
            0.165324435,
            0.166053981,
            0.166783527,
            0.167513072,
            0.168242618,
            0.168972164,
            0.16970171,
            0.170431256,
            0.171160802,
            0.171890348,
            0.172619894,
            0.17334944,
            0.174078986,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174033031,
            0.173303485,
            0.172573939,
            0.171844393,
            0.171114847,
            0.170385301,
            0.169655755,
            0.168926209,
            0.168196663,
            0.167467117,
            0.166737571,
            0.166008025,
            0.165278479,
            0.164548934,
            0.163819388,
            0.163089842,
            0.162360296,
            0.161630735,
            0.160901189,
            0.160171628,
            0.159442082,
            0.158712536,
            0.157982975,
            0.157253429,
            0.156523868,
            0.155794322,
            0.155064762,
            0.154335216,
            0.153605655,
            0.152876109,
            0.152146548,
            0.151417002,
            0.150296822,
            0.148594543,
            0.14689225,
            0.145189971,
            0.143487692,
            0.141785413,
            0.140083119,
            0.13838084,
            0.136678562,
            0.134976283,
            0.133273989,
            0.13157171,
            0.129869431,
            0.128167152,
            0.126464874,
            0.12476258,
            0.12332838,
            0.122598827,
            0.121869281,
            0.121139728,
            0.120410182,
            0.119680628,
            0.118951082,
            0.118221529,
            0.117491983,
            0.116762429,
            0.116032884,
            0.11530333,
            0.114573784,
            0.113844231,
            0.113114685,
            0.112385131,
            0.111655585,
            0.110926032,
            0.110196486,
            0.109466933,
            0.108737387,
            0.108007833,
            0.107278287,
            0.106548734,
            0.105819188,
            0.105089635,
            0.104360089,
            0.103630535,
            0.102900989,
            0.102171436,
            0.10144189,
            0.100712344,
            0.0999827906,
            0.0992532372,
            0.0985236913,
            0.0977941453,
            0.0970645919,
            0.096335046,
            0.0956054926,
            0.0948759466,
            0.0941463932,
            0.0934168473,
            0.0926872939,
            0.0919577479,
            0.0912281945,
            0.0904986486,
            0.0897690952,
            0.0890395492,
            0.0883099958,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0887982771,
            0.0895278305,
            0.0902573764,
            0.0909869298,
            0.0917164758,
            0.0924460292,
            0.0931755751,
            0.0939051285,
            0.0946346745,
            0.0953642279,
            0.0960937738,
            0.0968233198,
            0.0975528732,
            0.0982824266,
            0.0990119725,
            0.0997415185,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0996208861,
            0.0988913402,
            0.0981617868,
            0.0974322408,
            0.0967026874,
            0.0959731415,
            0.0952435881,
            0.0945140421,
            0.0937844887,
            0.0930549428,
            0.0923253894,
            0.0915958434,
            0.09086629,
            0.0901367441,
            0.0894071907,
            0.0886776447,
            0.0879480913,
            0.0872185454,
            0.086488992,
            0.085759446,
            0.0850298926,
            0.0843003467,
            0.0835707933,
            0.0828412473,
            0.0821117014,
            0.081382148,
            0.0806525946,
            0.0799230486,
            0.0791935027,
            0.0784639493,
            0.0777344033,
            0.0770048499,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0771197379,
            0.0778492913,
            0.0785788372,
            0.0793083906,
            0.0800379366,
            0.08076749,
            0.0814970359,
            0.0822265893,
            0.0829561353,
            0.0836856887,
            0.0844152346,
            0.085144788,
            0.085874334,
            0.0866038874,
            0.0873334333,
            0.0880629867,
            0.0887925327,
            0.0895220861,
            0.090251632,
            0.0909811854,
            0.0917107314,
            0.0924402848,
            0.0931698307,
            0.0938993841,
            0.0946289301,
            0.095358476,
            0.0960880294,
            0.0968175828,
            0.0975471288,
            0.0982766747,
            0.0990062281,
            0.0997357816,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0996266305,
            0.0988970846,
            0.0981675312,
            0.0974379852,
            0.0967084318,
            0.0959788859,
            0.0952493325,
            0.0945197865,
            0.0937902331,
            0.0930606872,
            0.0923311338,
            0.0916015878,
            0.0908720344,
            0.0901424885,
            0.0894129351,
            0.0886833891,
            0.0879538357,
            0.0872242898,
            0.0864947364,
            0.0857651904,
            0.085035637,
            0.0843060911,
            0.0835765451,
            0.0828469917,
            0.0821174383,
            0.0813878924,
            0.0806583464,
            0.079928793,
            0.0791992471,
            0.0784696937,
            0.0777401477,
            0.0770105943,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0765682682,
            0.0772978216,
            0.0780273676,
            0.078756921,
            0.0794864669,
            0.0802160203,
            0.0809455663,
            0.0816751197,
            0.0824046656,
            0.0831342191,
            0.083863765,
            0.0845933184,
            0.0853228644,
            0.0860524178,
            0.0867819637,
            0.0875115097,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0888786986,
            0.089608252,
            0.090337798,
            0.0910673514,
            0.0917968974,
            0.0925264508,
            0.0932559967,
            0.0939855501,
            0.0947150961,
            0.0954446495,
            0.0961741954,
            0.0969037488,
            0.0976332948,
            0.0983628482,
            0.0990923941,
            0.0998219475,
            0.101102963,
            0.102562062,
            0.104021162,
            0.105480261,
            0.10693936,
            0.10839846,
            0.109857559,
            0.111316659,
            0.112775758,
            0.114234857,
            0.115693957,
            0.117153056,
            0.118612155,
            0.120071255,
            0.121530354,
            0.122989453,
            0.124142177,
            0.125114918,
            0.126087651,
            0.127060384,
            0.128033116,
            0.129005849,
            0.129978582,
            0.130951315,
            0.131924048,
            0.132896781,
            0.133869514,
            0.134842247,
            0.135814965,
            0.136787713,
            0.137760431,
            0.138733178,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.138848066,
            0.137875333,
            0.136902601,
            0.135929868,
            0.134957135,
            0.133984402,
            0.133011669,
            0.132038936,
            0.131066203,
            0.13009347,
            0.129120737,
            0.128148004,
            0.127175272,
            0.126202539,
            0.125229806,
            0.124257073,
            0.123774529,
            0.124747261,
            0.125719994,
            0.126692727,
            0.12766546,
            0.128638193,
            0.129610926,
            0.130583659,
            0.131556392,
            0.132529125,
            0.133501858,
            0.13447459,
            0.135447323,
            0.136420056,
            0.137392789,
            0.138365522,
            0.139307618,
            0.140037164,
            0.140766725,
            0.141496271,
            0.142225817,
            0.142955363,
            0.143684924,
            0.14441447,
            0.145144016,
            0.145873562,
            0.146603122,
            0.147332668,
            0.148062214,
            0.14879176,
            0.149521321,
            0.150250867
          ],
          [
            0.150980413,
            0.152439505,
            0.153898612,
            0.155357704,
            0.15681681,
            0.158275902,
            0.159735009,
            0.161194101,
            0.162653208,
            0.1641123,
            0.165571406,
            0.167030498,
            0.168489605,
            0.169948697,
            0.171407804,
            0.172866896,
            0.174326003,
            0.175997645,
            0.177699938,
            0.179402217,
            0.181104511,
            0.18280679,
            0.184509084,
            0.186211362,
            0.187913656,
            0.189615935,
            0.191318229,
            0.193020508,
            0.194722801,
            0.19642508,
            0.198127359,
            0.199829653,
            0.201531947,
            0.203052312,
            0.204511404,
            0.205970496,
            0.207429603,
            0.208888695,
            0.210347787,
            0.211806878,
            0.213265985,
            0.214725077,
            0.216184169,
            0.217643261,
            0.219102368,
            0.22056146,
            0.222020552,
            0.223479643,
            0.22493875,
            0.225944027,
            0.226673573,
            0.227403119,
            0.22813268,
            0.228862226,
            0.229591772,
            0.230321318,
            0.231050879,
            0.231780425,
            0.232509971,
            0.233239517,
            0.233969077,
            0.234698623,
            0.235428169,
            0.236157715,
            0.236887276,
            0.237616822,
            0.238346368,
            0.239075914,
            0.239805475,
            0.240535021,
            0.241264567,
            0.241994113,
            0.242723674,
            0.24345322,
            0.244182765,
            0.244912311,
            0.245641872,
            0.246371418,
            0.247100964,
            0.24783051,
            0.248560071,
            0.249289617,
            0.250019163,
            0.250748724,
            0.251478285,
            0.252207816,
            0.252937376,
            0.253666937,
            0.254396498,
            0.255126029,
            0.25585559,
            0.256585151,
            0.257314712,
            0.258044243,
            0.258773804,
            0.259503365,
            0.260232925,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260899276,
            0.261872023,
            0.262844741,
            0.263817489,
            0.264790237,
            0.265762955,
            0.266735703,
            0.267708421,
            0.268681169,
            0.269653916,
            0.270626634,
            0.271599382,
            0.2725721,
            0.273544848,
            0.274517596,
            0.275490314,
            0.276463062,
            0.27719453,
            0.277924061,
            0.278653622,
            0.279383153,
            0.280112714,
            0.280842245,
            0.281571805,
            0.282301337,
            0.283030897,
            0.283760428,
            0.284489989,
            0.28521952,
            0.285949081,
            0.286678612,
            0.287408173,
            0.288137704,
            0.288867265,
            0.289596796,
            0.290326357,
            0.291055918,
            0.291785449,
            0.29251501,
            0.29324457,
            0.293974102,
            0.294703662,
            0.295433193,
            0.296162754,
            0.296892315,
            0.297621846,
            0.298351407,
            0.299080968,
            0.299810499,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.299643904,
            0.298914373,
            0.298184812,
            0.297455251,
            0.29672572,
            0.295996159,
            0.295266628,
            0.294537067,
            0.293807507,
            0.293077976,
            0.292348415,
            0.291618854,
            0.290889323,
            0.290159762,
            0.289430231,
            0.28870067,
            0.287971109,
            0.287241578,
            0.286512017,
            0.285782486,
            0.285052925,
            0.284323394,
            0.283593833,
            0.282864302,
            0.282134742,
            0.28140521,
            0.28067565,
            0.279946119,
            0.279216558,
            0.278487027,
            0.277757466,
            0.277027935,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.277188778,
            0.277918309,
            0.27864787,
            0.279377401,
            0.280106962,
            0.280836493,
            0.281566054,
            0.282295585,
            0.283025146,
            0.283754677,
            0.284484237,
            0.285213768,
            0.285943329,
            0.28667286,
            0.287402421,
            0.288131952,
            0.288861513,
            0.289591074,
            0.290320605,
            0.291050166,
            0.291779727,
            0.292509258,
            0.293238819,
            0.29396835,
            0.294697911,
            0.295427471,
            0.296157002,
            0.296886563,
            0.297616124,
            0.298345655,
            0.299075216,
            0.299804747,
            0.300534308,
            0.301263869,
            0.3019934,
            0.302722961,
            0.303452522,
            0.304182053,
            0.304911613,
            0.305641145,
            0.306370705,
            0.307100266,
            0.307829797,
            0.308559358,
            0.309288919,
            0.31001845,
            0.310748011,
            0.311477542,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311598182,
            0.310868651,
            0.31013909,
            0.309409529,
            0.308679998,
            0.307950437,
            0.307220876,
            0.306491345,
            0.305761784,
            0.305032253,
            0.304302692,
            0.303573132,
            0.302843601,
            0.30211404,
            0.301384479,
            0.300654948,
            0.299850702,
            0.29839161,
            0.296932518,
            0.295473427,
            0.294014335,
            0.292555243,
            0.291096151,
            0.289637059,
            0.288177937,
            0.286718845,
            0.285259753,
            0.283800662,
            0.28234157,
            0.280882478,
            0.279423386,
            0.277964294,
            0.276505172,
            0.274808645,
            0.273106366,
            0.271404058,
            0.269701779,
            0.26799947,
            0.266297191,
            0.264594913,
            0.262892604,
            0.261190325,
            0.259488046,
            0.257785738,
            0.256083459,
            0.25438118,
            0.252678871,
            0.250976592,
            0.249274299,
            0.247778818,
            0.246319711,
            0.244860619,
            0.243401513,
            0.241942421,
            0.240483314,
            0.239024222,
            0.237565115,
            0.236106023,
            0.234646916,
            0.233187824,
            0.231728718,
            0.230269626,
            0.228810519,
            0.227351427,
            0.22589232,
            0.224433228,
            0.222974136,
            0.221515045,
            0.220055938,
            0.218596846,
            0.217137754,
            0.215678662,
            0.214219555,
            0.212760463,
            0.211301371,
            0.20984228,
            0.208383173,
            0.206924081,
            0.205464989,
            0.204005897,
            0.202546805,
            0.201378748,
            0.200406015,
            0.199433282,
            0.198460549,
            0.197487801,
            0.196515068,
            0.195542336,
            0.194569603,
            0.193596855,
            0.192624122,
            0.191651389,
            0.190678656,
            0.189705908,
            0.188733175,
            0.187760442,
            0.18678771,
            0.185929865,
            0.185200304,
            0.184470758,
            0.183741212,
            0.183011666,
            0.182282105,
            0.181552559,
            0.180823013,
            0.180093467,
            0.179363906,
            0.17863436,
            0.177904814,
            0.177175269,
            0.176445723,
            0.175716162,
            0.174986616,
            0.17425707,
            0.173527524,
            0.172797978,
            0.172068432,
            0.171338886,
            0.17060934,
            0.169879794,
            0.169150248,
            0.168420702,
            0.167691156,
            0.16696161,
            0.166232064,
            0.165502518,
            0.164772972,
            0.164043427,
            0.163313881,
            0.162584335,
            0.161854774,
            0.161125228,
            0.160395667,
            0.159666121,
            0.15893656,
            0.158207014,
            0.157477453,
            0.156747907,
            0.156018347,
            0.155288801,
            0.15455924,
            0.153829694,
            0.153100133,
            0.152370587,
            0.151641026,
            0.15091148,
            0.150181934,
            0.149452373,
            0.148722827,
            0.147993281,
            0.147263736,
            0.146534175,
            0.145804629,
            0.145075083,
            0.144345537,
            0.143615991,
            0.14288643,
            0.142156884,
            0.141427338,
            0.140697777,
            0.139968231,
            0.139238685,
            0.136860475,
            0.134428635,
            0.13199681,
            0.129564971,
            0.127133146,
            0.124701306,
            0.122269481,
            0.119837642,
            0.117405817,
            0.114973977,
            0.112542152,
            0.110110313,
            0.107678488,
            0.105246648,
            0.102814823,
            0.100382991,
            0.0987707078,
            0.097311601,
            0.0958525091,
            0.0943934098,
            0.0929343104,
            0.0914752111,
            0.0900161117,
            0.0885570124,
            0.087097913,
            0.0856388137,
            0.0841797143,
            0.082720615,
            0.0812615156,
            0.0798024163,
            0.0783433169,
            0.0768842176,
            0.0757736191,
            0.0748008862,
            0.0738281533,
            0.0728554204,
            0.0718826875,
            0.0709099546,
            0.0699372217,
            0.0689644888,
            0.0679917559,
            0.067019023,
            0.0660462901,
            0.0650735572,
            0.0641008243,
            0.0631280914,
            0.0621553585,
            0.0611826256,
            0.0599226654,
            0.058463566,
            0.0570044704,
            0.055545371,
            0.0540862717,
            0.0526271723,
            0.051168073,
            0.0497089736,
            0.0482498743,
            0.0467907749,
            0.0453316756,
            0.0438725762,
            0.0424134769,
            0.0409543775,
            0.0394952781,
            0.0380361788,
            0.0369160064,
            0.0361864567,
            0.035456907,
            0.0347273573,
            0.0339978077,
            0.033268258,
            0.0325387083,
            0.0318091586,
            0.0310796089,
            0.0303500593,
            0.0296205096,
            0.0288909599,
            0.0281614102,
            0.0274318606,
            0.0267023109,
            0.0259727612,
            0.0252432115,
            0.0245136619,
            0.0237841122,
            0.0230545625,
            0.0223250128,
            0.0215954632,
            0.0208659135,
            0.0201363638,
            0.0194068141,
            0.0186772645,
            0.0179477148,
            0.0172181651,
            0.0164886154,
            0.0157590657,
            0.015029517,
            0.0142999673,
            0.0133636165,
            0.011661334,
            0.00995905139,
            0.00825676974,
            0.00655448716,
            0.00485220458,
            0.00314992201,
            0.00144764036,
            -0.000254642218,
            -0.0019569248,
            -0.00365920737,
            -0.00536148995,
            -0.00706377253,
            -0.00876605511,
            -0.0104683358,
            -0.0121706184,
            -0.0137886489,
            -0.0145181986,
            -0.0152477482,
            -0.015977297,
            -0.0167068467,
            -0.0174363963,
            -0.018165946,
            -0.0188954957,
            -0.0196250454,
            -0.020354595,
            -0.0210841447,
            -0.0218136944,
            -0.0225432441,
            -0.0232727937,
            -0.0240023434,
            -0.0247318931,
            -0.0254614428,
            -0.0268918183,
            -0.0283509176,
            -0.029810017,
            -0.0312691182,
            -0.0327282175,
            -0.0341873169,
            -0.0356464162,
            -0.0371055156,
            -0.0385646112,
            -0.0400237106,
            -0.0414828099,
            -0.0429419093,
            -0.0444010086,
            -0.045860108,
            -0.0473192073,
            -0.0487783067,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0504365489,
            -0.0528683811,
            -0.0553002134,
            -0.0577320457,
            -0.0601638779,
            -0.0625957102,
            -0.0650275424,
            -0.0674593747,
            -0.0698911995,
            -0.0723230392,
            -0.074754864,
            -0.0771867037,
            -0.0796185285,
            -0.0820503682,
            -0.084482193,
            -0.0869140327,
            -0.0885684416,
            -0.0892979875,
            -0.0900275409,
            -0.0907570869,
            -0.0914866403,
            -0.0922161862,
            -0.0929457396,
            -0.0936752856,
            -0.094404839,
            -0.0951343849,
            -0.0958639383,
            -0.0965934843,
            -0.0973230302,
            -0.0980525836,
            -0.098782137,
            -0.099511683,
            -0.100241229,
            -0.100970782,
            -0.101700328,
            -0.102429874,
            -0.10315942,
            -0.103888974,
            -0.10461852,
            -0.105348065,
            -0.106077611,
            -0.106807165,
            -0.107536711,
            -0.108266257,
            -0.108995803,
            -0.109725356,
            -0.110454902,
            -0.111184448,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111253381,
            -0.110523835,
            -0.109794289,
            -0.109064735,
            -0.10833519,
            -0.107605644,
            -0.106876098,
            -0.106146544,
            -0.105416998,
            -0.104687452,
            -0.103957906,
            -0.10322836,
            -0.102498807,
            -0.101769261,
            -0.101039715,
            -0.100310162,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0996725261,
            -0.0989429802,
            -0.0982134268,
            -0.0974838808,
            -0.0967543274,
            -0.0960247815,
            -0.0952952281,
            -0.0945656821,
            -0.0938361287,
            -0.0931065828,
            -0.0923770294,
            -0.0916474834,
            -0.09091793,
            -0.0901883841,
            -0.0894588381,
            -0.0887292847,
            -0.0879997388,
            -0.0872701854,
            -0.0865406394,
            -0.085811086,
            -0.08508154,
            -0.0843519866,
            -0.0836224407,
            -0.0828928873,
            -0.0821633413,
            -0.0814337879,
            -0.080704242,
            -0.0799746886,
            -0.0792451426,
            -0.0785155892,
            -0.0777860433,
            -0.0770564899,
            -0.0761354566,
            -0.0744331777,
            -0.0727308914,
            -0.0710286126,
            -0.0693263263,
            -0.0676240474,
            -0.0659217685,
            -0.0642194822,
            -0.0625171959,
            -0.0608149171,
            -0.0591126345,
            -0.0574103519,
            -0.0557080731,
            -0.0540057868,
            -0.0523035079,
            -0.0506012216,
            -0.0489678755,
            -0.0482383259,
            -0.0475087762,
            -0.0467792265,
            -0.0460496768,
            -0.0453201272,
            -0.0445905775,
            -0.0438610278,
            -0.0431314781,
            -0.0424019285,
            -0.0416723788,
            -0.0409428291,
            -0.0402132794,
            -0.0394837297,
            -0.0387541801,
            -0.0380246304,
            -0.0372950807,
            -0.036565531,
            -0.0358359814,
            -0.0351064317,
            -0.034376882,
            -0.0336473323,
            -0.0329177827,
            -0.032188233,
            -0.0314586833,
            -0.0307291355,
            -0.0299995858,
            -0.0292700361,
            -0.0285404865,
            -0.0278109368,
            -0.0270813871,
            -0.0263518374,
            -0.0256222878,
            -0.0248927381,
            -0.0241631884,
            -0.0234336387,
            -0.0227040891,
            -0.0219745394,
            -0.0212449897,
            -0.0205154419,
            -0.0197858922,
            -0.0190563425,
            -0.0183267929,
            -0.0175972432,
            -0.0168676935,
            -0.0161381438,
            -0.0154085932,
            -0.0146790445,
            -0.0139494948,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0128140012,
            -0.0118412683,
            -0.0108685363,
            -0.00989580341,
            -0.00892307051,
            -0.0079503376,
            -0.0069776047,
            -0.0060048718,
            -0.0050321389,
            -0.004059406,
            -0.0030866731,
            -0.00211394019,
            -0.00114120822,
            -0.000168475322,
            0.000804257579,
            0.00177699048,
            0.0025524958,
            0.00328204548,
            0.00401159516,
            0.00474114483,
            0.00547069404,
            0.00620024372,
            0.0069297934,
            0.00765934307,
            0.00838889275,
            0.00911844242,
            0.0098479921,
            0.0105775418,
            0.0113070915,
            0.0120366402,
            0.0127661899,
            0.0134957395,
            0.0142252892,
            0.0149548389,
            0.0156843886,
            0.0164139383,
            0.0171434879,
            0.0178730376,
            0.0186025873,
            0.019332137,
            0.0200616866,
            0.0207912363,
            0.021520786,
            0.0222503357,
            0.0229798853,
            0.023709435,
            0.0244389847,
            0.0251685344,
            0.0250823665,
            0.0243528169,
            0.0236232672,
            0.0228937175,
            0.0221641678,
            0.0214346182,
            0.0207050685,
            0.0199755188,
            0.0192459691,
            0.0185164195,
            0.0177868698,
            0.0170573201,
            0.0163277704,
            0.0155982217,
            0.014868672,
            0.0141391223,
            0.0134095727,
            0.012680023,
            0.0119504733,
            0.0112209236,
            0.0104913739,
            0.0097618252,
            0.00903227553,
            0.00830272585,
            0.00757317571,
            0.00684362603,
            0.00611407682,
            0.00538452715,
            0.00465497747,
            0.00392542779,
            0.00319587812,
            0.00246632844,
            0.00166210078,
            0.000689367997,
            -0.000283364672,
            -0.00125609757,
            -0.00222883048,
            -0.00320156291,
            -0.00417429581,
            -0.00514702871,
            -0.00611976162,
            -0.00709249452,
            -0.00806522742,
            -0.00903796032,
            -0.0100106923,
            -0.0109834252,
            -0.0119561581,
            -0.012928891,
            -0.0138575826,
            -0.0145871323,
            -0.0153166819,
            -0.0160462316,
            -0.0167757813,
            -0.017505331,
            -0.0182348806,
            -0.0189644303,
            -0.01969398,
            -0.0204235297,
            -0.0211530775,
            -0.0218826272,
            -0.0226121768,
            -0.0233417265,
            -0.0240712762,
            -0.0248008259,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0261680149,
            -0.0268975645,
            -0.0276271142,
            -0.028356662,
            -0.0290862117,
            -0.0298157614,
            -0.030545311,
            -0.0312748626,
            -0.0320044123,
            -0.0327339619,
            -0.0334635079,
            -0.0341930613,
            -0.0349226072,
            -0.0356521606,
            -0.0363817066,
            -0.03711126,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0368182883,
            -0.0353591889,
            -0.0339000896,
            -0.0324409902,
            -0.0309818927,
            -0.0295227934,
            -0.028063694,
            -0.0266045947,
            -0.0251454953,
            -0.0236863978,
            -0.0222272985,
            -0.0207681973,
            -0.0193090998,
            -0.0178500004,
            -0.0163909011,
            -0.0149318017,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0136795035,
            -0.0127067706,
            -0.0117340386,
            -0.0107613057,
            -0.00978857279,
            -0.00881583989,
            -0.00784310699,
            -0.00687037408,
            -0.00589764118,
            -0.00492490828,
            -0.00395217538,
            -0.00297944341,
            -0.00200671051,
            -0.00103397761,
            -6.12447038e-5,
            0.000911488198,
            0.0018842211,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00312120002,
            0.00458029937,
            0.00603939826,
            0.00749849761,
            0.0089575965,
            0.0104166958,
            0.0118757952,
            0.0133348946,
            0.014793993,
            0.0162530914,
            0.0177121926,
            0.0191712901,
            0.0206303895,
            0.0220894888,
            0.0235485882,
            0.0250076875,
            0.0264667869,
            0.0279258862,
            0.0293849856,
            0.0308440849,
            0.0323031843,
            0.0337622836,
            0.035221383,
            0.0366804823,
            0.0381395817,
            0.039598681,
            0.0410577804,
            0.0425168797,
            0.0439759791,
            0.0454350784,
            0.0468941778,
            0.0483532771,
            0.0494160056,
            0.0501455553,
            0.050875105,
            0.0516046546,
            0.0523342043,
            0.0530637503,
            0.0537933037,
            0.0545228496,
            0.0552523993,
            0.055981949,
            0.0567114986,
            0.0574410483,
            0.058170598,
            0.0589001477,
            0.0596296974,
            0.060359247,
            0.0614947416,
            0.0631970242,
            0.064899303,
            0.0666015893,
            0.0683038682,
            0.0700061545,
            0.0717084333,
            0.0734107196,
            0.0751129985,
            0.0768152848,
            0.0785175636,
            0.0802198499,
            0.0819221288,
            0.0836244076,
            0.085326694,
            0.0870289803,
            0.0886604115,
            0.0901195109,
            0.0915786102,
            0.0930377096,
            0.0944968089,
            0.0959559083,
            0.0974150077,
            0.098874107,
            0.100333206,
            0.101792306,
            0.103251405,
            0.104710504,
            0.106169596,
            0.107628703,
            0.109087795,
            0.110546902,
            0.111885361,
            0.112614915,
            0.113344461,
            0.114074014,
            0.11480356,
            0.115533113,
            0.116262659,
            0.116992213,
            0.117721759,
            0.118451312,
            0.119180858,
            0.119910412,
            0.120639957,
            0.121369511,
            0.122099057,
            0.12282861,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.124417916,
            0.125390649,
            0.126363382,
            0.127336115,
            0.128308848,
            0.12928158,
            0.130254313,
            0.131227046,
            0.132199779,
            0.133172512,
            0.134145245,
            0.135117978,
            0.136090711,
            0.137063444,
            0.138036177,
            0.139008909,
            0.139790162,
            0.140519708,
            0.141249254,
            0.1419788,
            0.142708361,
            0.143437907,
            0.144167453,
            0.144896999,
            0.14562656,
            0.146356106,
            0.147085652,
            0.147815198,
            0.148544759,
            0.149274305,
            0.15000385,
            0.150733396,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151371047,
            0.152100593,
            0.152830154,
            0.1535597,
            0.154289246,
            0.155018806,
            0.155748367,
            0.156477913,
            0.157207459,
            0.15793702,
            0.158666566,
            0.159396127,
            0.160125673,
            0.160855234,
            0.16158478,
            0.16231434,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162860066,
            0.163589612,
            0.164319158,
            0.165048704,
            0.16577825,
            0.166507795,
            0.167237341,
            0.167966887,
            0.168696433,
            0.169425979,
            0.170155525,
            0.170885071,
            0.171614617,
            0.172344163,
            0.173073709,
            0.173803255,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174124941,
            0.173395395,
            0.172665849,
            0.171936303,
            0.171206757,
            0.170477211,
            0.169747666,
            0.16901812,
            0.168288574,
            0.167559028,
            0.166829482,
            0.166099936,
            0.16537039,
            0.164640844,
            0.163911298,
            0.163181752,
            0.162159234,
            0.160700142,
            0.159241036,
            0.157781929,
            0.156322822,
            0.15486373,
            0.153404623,
            0.151945516,
            0.15048641,
            0.149027318,
            0.147568211,
            0.146109104,
            0.144650012,
            0.143190905,
            0.141731799,
            0.140272692,
            0.138947636,
            0.137974903,
            0.13700217,
            0.136029437,
            0.135056704,
            0.134083971,
            0.133111238,
            0.132138506,
            0.131165773,
            0.13019304,
            0.129220307,
            0.128247574,
            0.127274841,
            0.126302108,
            0.125329375,
            0.124356642,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123512201,
            0.122782648,
            0.122053102,
            0.121323556,
            0.120594002,
            0.119864456,
            0.119134903,
            0.118405357,
            0.117675804,
            0.116946258,
            0.116216704,
            0.115487158,
            0.114757605,
            0.114028059,
            0.113298506,
            0.11256896,
            0.111839406,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111385591,
            0.110656045,
            0.109926492,
            0.109196946,
            0.108467393,
            0.107737847,
            0.107008293,
            0.106278747,
            0.105549194,
            0.104819648,
            0.104090095,
            0.103360549,
            0.102630995,
            0.101901449,
            0.101171896,
            0.10044235,
            0.0994255766,
            0.0979664773,
            0.0965073779,
            0.0950482786,
            0.0935891792,
            0.0921300799,
            0.0906709805,
            0.0892118812,
            0.0877527818,
            0.0862936825,
            0.0848345831,
            0.0833754838,
            0.0819163844,
            0.080457285,
            0.0789981857,
            0.0775390863,
            0.076665923,
            0.0773954764,
            0.0781250224,
            0.0788545758,
            0.0795841217,
            0.0803136751,
            0.0810432211,
            0.0817727745,
            0.0825023204,
            0.0832318738,
            0.0839614198,
            0.0846909732,
            0.0854205191,
            0.0861500725,
            0.0868796185,
            0.0876091719,
            0.0881319195,
            0.0874023661,
            0.0866728202,
            0.0859432667,
            0.0852137208,
            0.0844841674,
            0.0837546214,
            0.083025068,
            0.0822955221,
            0.0815659687,
            0.0808364227,
            0.0801068693,
            0.0793773234,
            0.0786477774,
            0.077918224,
            0.0771886706,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0770278275,
            0.0777573809,
            0.0784869269,
            0.0792164803,
            0.0799460262,
            0.0806755796,
            0.0814051256,
            0.082134679,
            0.0828642249,
            0.0835937709,
            0.0843233243,
            0.0850528777,
            0.0857824236,
            0.0865119696,
            0.087241523,
            0.0879710764,
            0.0887006223,
            0.0894301683,
            0.0901597217,
            0.0908892676,
            0.091618821,
            0.092348367,
            0.0930779204,
            0.0938074663,
            0.0945370197,
            0.0952665657,
            0.0959961191,
            0.096725665,
            0.0974552184,
            0.0981847644,
            0.0989143178,
            0.0996438637,
            0.0996266305,
            0.0988970846,
            0.0981675312,
            0.0974379852,
            0.0967084318,
            0.0959788859,
            0.0952493325,
            0.0945197865,
            0.0937902331,
            0.0930606872,
            0.0923311338,
            0.0916015878,
            0.0908720344,
            0.0901424885,
            0.0894129351,
            0.0886833891,
            0.0879538357,
            0.0872242898,
            0.0864947364,
            0.0857651904,
            0.085035637,
            0.0843060911,
            0.0835765451,
            0.0828469917,
            0.0821174383,
            0.0813878924,
            0.0806583464,
            0.079928793,
            0.0791992471,
            0.0784696937,
            0.0777401477,
            0.0770105943,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0765682682,
            0.0772978216,
            0.0780273676,
            0.078756921,
            0.0794864669,
            0.0802160203,
            0.0809455663,
            0.0816751197,
            0.0824046656,
            0.0831342191,
            0.083863765,
            0.0845933184,
            0.0853228644,
            0.0860524178,
            0.0867819637,
            0.0875115097,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0888786986,
            0.089608252,
            0.090337798,
            0.0910673514,
            0.0917968974,
            0.0925264508,
            0.0932559967,
            0.0939855501,
            0.0947150961,
            0.0954446495,
            0.0961741954,
            0.0969037488,
            0.0976332948,
            0.0983628482,
            0.0990923941,
            0.0998219475,
            0.101102963,
            0.102562062,
            0.104021162,
            0.105480261,
            0.10693936,
            0.10839846,
            0.109857559,
            0.111316659,
            0.112775758,
            0.114234857,
            0.115693957,
            0.117153056,
            0.118612155,
            0.120071255,
            0.121530354,
            0.122989453,
            0.124142177,
            0.125114918,
            0.126087651,
            0.127060384,
            0.128033116,
            0.129005849,
            0.129978582,
            0.130951315,
            0.131924048,
            0.132896781,
            0.133869514,
            0.134842247,
            0.135814965,
            0.136787713,
            0.137760431,
            0.138733178,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.138848066,
            0.137875333,
            0.136902601,
            0.135929868,
            0.134957135,
            0.133984402,
            0.133011669,
            0.132038936,
            0.131066203,
            0.13009347,
            0.129120737,
            0.128148004,
            0.127175272,
            0.126202539,
            0.125229806,
            0.124257073,
            0.123774529,
            0.124747261,
            0.125719994,
            0.126692727,
            0.12766546,
            0.128638193,
            0.129610926,
            0.130583659,
            0.131556392,
            0.132529125,
            0.133501858,
            0.13447459,
            0.135447323,
            0.136420056,
            0.137392789,
            0.138365522,
            0.139307618,
            0.140037164,
            0.140766725,
            0.141496271,
            0.142225817,
            0.142955363,
            0.143684924,
            0.14441447,
            0.145144016,
            0.145873562,
            0.146603122,
            0.147332668,
            0.148062214,
            0.14879176,
            0.149521321,
            0.150250867
          ],
          [
            0.162745178,
            0.16420427,
            0.165663362,
            0.167122468,
            0.16858156,
            0.170040652,
            0.171499744,
            0.172958851,
            0.174417943,
            0.175877035,
            0.177336127,
            0.178795233,
            0.180254325,
            0.181713417,
            0.183172509,
            0.184631616,
            0.186090708,
            0.188399985,
            0.190831825,
            0.19326365,
            0.19569549,
            0.198127314,
            0.200559154,
            0.202990979,
            0.205422819,
            0.207854643,
            0.210286468,
            0.212718308,
            0.215150148,
            0.217581972,
            0.220013797,
            0.222445637,
            0.224877477,
            0.226581663,
            0.22804077,
            0.229499862,
            0.230958968,
            0.23241806,
            0.233877167,
            0.235336259,
            0.236795366,
            0.238254458,
            0.23971355,
            0.241172656,
            0.242631763,
            0.244090855,
            0.245549947,
            0.247009054,
            0.248468161,
            0.249473438,
            0.250202984,
            0.250932544,
            0.251662105,
            0.252391666,
            0.253121197,
            0.253850758,
            0.254580319,
            0.25530988,
            0.256039411,
            0.256768972,
            0.257498533,
            0.258228064,
            0.258957624,
            0.259687185,
            0.260416746,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260899276,
            0.261872023,
            0.262844741,
            0.263817489,
            0.264790237,
            0.265762955,
            0.266735703,
            0.267708421,
            0.268681169,
            0.269653916,
            0.270626634,
            0.271599382,
            0.2725721,
            0.273544848,
            0.274517596,
            0.275490314,
            0.276463062,
            0.277918339,
            0.279377431,
            0.280836523,
            0.282295614,
            0.283754706,
            0.285213798,
            0.28667289,
            0.288131982,
            0.289591104,
            0.291050196,
            0.292509288,
            0.293968379,
            0.295427471,
            0.296886563,
            0.298345655,
            0.299804747,
            0.30063197,
            0.301361501,
            0.302091062,
            0.302820623,
            0.303550154,
            0.304279715,
            0.305009276,
            0.305738807,
            0.306468368,
            0.307197899,
            0.307927459,
            0.30865702,
            0.309386551,
            0.310116112,
            0.310845673,
            0.311575204,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311408609,
            0.310679078,
            0.309949517,
            0.309219956,
            0.308490425,
            0.307760864,
            0.307031333,
            0.306301773,
            0.305572212,
            0.304842681,
            0.30411312,
            0.303383559,
            0.302654028,
            0.301924467,
            0.301194936,
            0.300465375,
            0.299735814,
            0.299006283,
            0.298276722,
            0.297547162,
            0.296817631,
            0.29608807,
            0.295358539,
            0.294628978,
            0.293899417,
            0.293169886,
            0.292440325,
            0.291710794,
            0.290981233,
            0.290251672,
            0.289522141,
            0.28879258,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288953424,
            0.289682984,
            0.290412515,
            0.291142076,
            0.291871637,
            0.292601168,
            0.293330729,
            0.29406026,
            0.294789821,
            0.295519382,
            0.296248913,
            0.296978474,
            0.297708035,
            0.298437566,
            0.299167126,
            0.299896657,
            0.300626218,
            0.301355779,
            0.30208531,
            0.302814871,
            0.303544432,
            0.304273963,
            0.305003524,
            0.305733055,
            0.306462616,
            0.307192177,
            0.307921708,
            0.308651268,
            0.309380829,
            0.31011036,
            0.310839921,
            0.311569452,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311598182,
            0.310868651,
            0.31013909,
            0.309409529,
            0.308679998,
            0.307950437,
            0.307220876,
            0.306491345,
            0.305761784,
            0.305032253,
            0.304302692,
            0.303573132,
            0.302843601,
            0.30211404,
            0.301384479,
            0.300654948,
            0.299925387,
            0.299195856,
            0.298466295,
            0.297736734,
            0.297007203,
            0.296277642,
            0.295548081,
            0.29481855,
            0.294088989,
            0.293359458,
            0.292629898,
            0.291900337,
            0.291170806,
            0.290441245,
            0.289711714,
            0.288982153,
            0.288252592,
            0.286573291,
            0.284871012,
            0.283168733,
            0.281466454,
            0.279764175,
            0.278061897,
            0.276359588,
            0.274657309,
            0.27295503,
            0.271252751,
            0.269550472,
            0.267848194,
            0.266145915,
            0.264443636,
            0.262741327,
            0.261039048,
            0.259543568,
            0.258084476,
            0.256625384,
            0.255166262,
            0.25370717,
            0.252248049,
            0.250788957,
            0.24932985,
            0.247870758,
            0.246411651,
            0.244952545,
            0.243493438,
            0.242034346,
            0.240575239,
            0.239116132,
            0.23765704,
            0.236726418,
            0.235996872,
            0.235267326,
            0.23453778,
            0.233808219,
            0.233078673,
            0.232349128,
            0.231619582,
            0.230890036,
            0.230160475,
            0.229430929,
            0.228701383,
            0.227971822,
            0.227242276,
            0.22651273,
            0.225783184,
            0.224617049,
            0.223157957,
            0.221698865,
            0.220239773,
            0.218780667,
            0.217321575,
            0.215862483,
            0.214403391,
            0.212944284,
            0.211485192,
            0.2100261,
            0.208567008,
            0.207107902,
            0.20564881,
            0.204189718,
            0.202730626,
            0.201501295,
            0.200528562,
            0.199555829,
            0.198583096,
            0.197610348,
            0.196637616,
            0.195664883,
            0.19469215,
            0.193719417,
            0.192746669,
            0.191773936,
            0.190801203,
            0.189828455,
            0.188855723,
            0.18788299,
            0.186910257,
            0.186021775,
            0.185292214,
            0.184562668,
            0.183833122,
            0.183103576,
            0.18237403,
            0.181644469,
            0.180914924,
            0.180185378,
            0.179455832,
            0.178726271,
            0.177996725,
            0.177267179,
            0.176537633,
            0.175808072,
            0.175078526,
            0.17434898,
            0.173619434,
            0.172889888,
            0.172160342,
            0.171430796,
            0.17070125,
            0.169971704,
            0.169242159,
            0.168512613,
            0.167783067,
            0.167053521,
            0.166323975,
            0.165594429,
            0.164864883,
            0.164135337,
            0.163405791,
            0.162607312,
            0.161148205,
            0.159689099,
            0.158230007,
            0.1567709,
            0.155311793,
            0.153852686,
            0.152393594,
            0.150934488,
            0.149475381,
            0.148016274,
            0.146557182,
            0.145098075,
            0.143638968,
            0.142179877,
            0.14072077,
            0.139261663,
            0.137567043,
            0.135864764,
            0.134162471,
            0.132460192,
            0.130757913,
            0.129055634,
            0.12735334,
            0.125651062,
            0.123948783,
            0.122246504,
            0.120544218,
            0.118841931,
            0.117139652,
            0.115437374,
            0.113735087,
            0.112032801,
            0.110535413,
            0.109076306,
            0.107617214,
            0.106158115,
            0.104699016,
            0.103239916,
            0.101780817,
            0.100321718,
            0.0988626182,
            0.0974035189,
            0.0959444195,
            0.0944853202,
            0.0930262208,
            0.0915671214,
            0.0901080221,
            0.0886489227,
            0.0870155767,
            0.0853132904,
            0.0836110115,
            0.0819087252,
            0.0802064463,
            0.07850416,
            0.0768018812,
            0.0750995949,
            0.073397316,
            0.0716950297,
            0.0699927509,
            0.0682904646,
            0.0665881857,
            0.0648858994,
            0.0631836206,
            0.061481338,
            0.0599226654,
            0.058463566,
            0.0570044704,
            0.055545371,
            0.0540862717,
            0.0526271723,
            0.051168073,
            0.0497089736,
            0.0482498743,
            0.0467907749,
            0.0453316756,
            0.0438725762,
            0.0424134769,
            0.0409543775,
            0.0394952781,
            0.0380361788,
            0.0369160064,
            0.0361864567,
            0.035456907,
            0.0347273573,
            0.0339978077,
            0.033268258,
            0.0325387083,
            0.0318091586,
            0.0310796089,
            0.0303500593,
            0.0296205096,
            0.0288909599,
            0.0281614102,
            0.0274318606,
            0.0267023109,
            0.0259727612,
            0.0249961987,
            0.0235370994,
            0.022078,
            0.0206189007,
            0.0191598013,
            0.017700702,
            0.0162416026,
            0.0147825042,
            0.0133234048,
            0.0118643064,
            0.0104052071,
            0.0089461077,
            0.00748700835,
            0.006027909,
            0.00456880964,
            0.00310971029,
            0.00159891148,
            -0.000103370985,
            -0.00180565333,
            -0.00350793544,
            -0.00521021802,
            -0.0069125006,
            -0.00861478318,
            -0.0103170648,
            -0.0120193474,
            -0.01372163,
            -0.0154239126,
            -0.0171261951,
            -0.0188284777,
            -0.0205307603,
            -0.022233041,
            -0.0239353236,
            -0.025553355,
            -0.0262829028,
            -0.0270124525,
            -0.0277420022,
            -0.0284715518,
            -0.0292011015,
            -0.0299306512,
            -0.0306602009,
            -0.0313897505,
            -0.0321193002,
            -0.0328488499,
            -0.0335783996,
            -0.0343079492,
            -0.0350374989,
            -0.0357670486,
            -0.0364965983,
            -0.0372261479,
            -0.0379556976,
            -0.0386852473,
            -0.039414797,
            -0.0401443467,
            -0.0408738963,
            -0.041603446,
            -0.0423329957,
            -0.0430625454,
            -0.043792095,
            -0.0445216447,
            -0.0452511907,
            -0.0459807441,
            -0.04671029,
            -0.0474398434,
            -0.0481693894,
            -0.0488989428,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0495365784,
            -0.050266128,
            -0.0509956777,
            -0.0517252274,
            -0.0524547771,
            -0.0531843267,
            -0.0539138764,
            -0.0546434261,
            -0.0553729758,
            -0.0561025254,
            -0.0568320751,
            -0.0575616248,
            -0.0582911745,
            -0.0590207241,
            -0.0597502738,
            -0.0604798235,
            -0.0617761612,
            -0.06347844,
            -0.0651807263,
            -0.0668830052,
            -0.0685852915,
            -0.0702875704,
            -0.0719898567,
            -0.0736921355,
            -0.0753944218,
            -0.0770967007,
            -0.078798987,
            -0.0805012658,
            -0.0822035521,
            -0.083905831,
            -0.0856081173,
            -0.0873103961,
            -0.0885684416,
            -0.0892979875,
            -0.0900275409,
            -0.0907570869,
            -0.0914866403,
            -0.0922161862,
            -0.0929457396,
            -0.0936752856,
            -0.094404839,
            -0.0951343849,
            -0.0958639383,
            -0.0965934843,
            -0.0973230302,
            -0.0980525836,
            -0.098782137,
            -0.099511683,
            -0.100241229,
            -0.100970782,
            -0.101700328,
            -0.102429874,
            -0.10315942,
            -0.103888974,
            -0.10461852,
            -0.105348065,
            -0.106077611,
            -0.106807165,
            -0.107536711,
            -0.108266257,
            -0.108995803,
            -0.109725356,
            -0.110454902,
            -0.111184448,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11106956,
            -0.110340014,
            -0.109610461,
            -0.108880915,
            -0.108151369,
            -0.107421823,
            -0.106692269,
            -0.105962723,
            -0.105233178,
            -0.104503632,
            -0.103774078,
            -0.103044532,
            -0.102314986,
            -0.10158544,
            -0.100855887,
            -0.100126341,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0997644439,
            -0.0990348905,
            -0.0983053446,
            -0.0975757912,
            -0.0968462452,
            -0.0961166918,
            -0.0953871459,
            -0.0946575925,
            -0.0939280465,
            -0.0931984931,
            -0.0924689472,
            -0.0917393938,
            -0.0910098478,
            -0.0902802944,
            -0.0895507485,
            -0.0888211951,
            -0.0879001617,
            -0.0861978829,
            -0.0844955966,
            -0.0827933177,
            -0.0810910314,
            -0.0793887526,
            -0.0776864737,
            -0.0759841874,
            -0.0742819011,
            -0.0725796223,
            -0.0708773434,
            -0.0691750571,
            -0.0674727783,
            -0.065770492,
            -0.0640682131,
            -0.0623659268,
            -0.0607325807,
            -0.060003031,
            -0.0592734814,
            -0.0585439317,
            -0.057814382,
            -0.0570848323,
            -0.0563552827,
            -0.055625733,
            -0.0548961833,
            -0.0541666336,
            -0.053437084,
            -0.0527075343,
            -0.0519779846,
            -0.0512484349,
            -0.0505188853,
            -0.0497893356,
            -0.0490597859,
            -0.0483302362,
            -0.0476006866,
            -0.0468711369,
            -0.0461415872,
            -0.0454120375,
            -0.0446824878,
            -0.0439529382,
            -0.0432233885,
            -0.0424938388,
            -0.0417642891,
            -0.0410347432,
            -0.0403051898,
            -0.0395756438,
            -0.0388460904,
            -0.0381165445,
            -0.0373869911,
            -0.0366574451,
            -0.0359278955,
            -0.0351983458,
            -0.0344687961,
            -0.0337392464,
            -0.0330096968,
            -0.0322801471,
            -0.0315505974,
            -0.0308210477,
            -0.030091498,
            -0.0293619484,
            -0.0286323987,
            -0.027902849,
            -0.0271732993,
            -0.0264437497,
            -0.0257142,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0250765625,
            -0.0243470129,
            -0.0236174632,
            -0.0228879135,
            -0.0221583638,
            -0.0214288142,
            -0.0206992645,
            -0.0199697148,
            -0.0192401651,
            -0.0185106155,
            -0.0177810658,
            -0.0170515161,
            -0.0163219664,
            -0.0155924167,
            -0.014862868,
            -0.0141333183,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0128140012,
            -0.0118412683,
            -0.0108685363,
            -0.00989580341,
            -0.00892307051,
            -0.0079503376,
            -0.0069776047,
            -0.0060048718,
            -0.0050321389,
            -0.004059406,
            -0.0030866731,
            -0.00211394019,
            -0.00114120822,
            -0.000168475322,
            0.000804257579,
            0.00177699048,
            0.0025524958,
            0.00328204548,
            0.00401159516,
            0.00474114483,
            0.00547069404,
            0.00620024372,
            0.0069297934,
            0.00765934307,
            0.00838889275,
            0.00911844242,
            0.0098479921,
            0.0105775418,
            0.0113070915,
            0.0120366402,
            0.0127661899,
            0.0134957395,
            0.0142252892,
            0.0149548389,
            0.0156843886,
            0.0164139383,
            0.0171434879,
            0.0178730376,
            0.0186025873,
            0.019332137,
            0.0200616866,
            0.0207912363,
            0.021520786,
            0.0222503357,
            0.0229798853,
            0.023709435,
            0.0244389847,
            0.0251685344,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0251742769,
            0.0244447291,
            0.0237151794,
            0.0229856297,
            0.0222560801,
            0.0215265304,
            0.0207969807,
            0.020067431,
            0.0193378814,
            0.0186083317,
            0.017878782,
            0.0171492323,
            0.0164196827,
            0.015690133,
            0.0149605833,
            0.0142310336,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0135933962,
            0.0128638465,
            0.0121342968,
            0.0114047471,
            0.0106751975,
            0.00994564779,
            0.00921609811,
            0.00848654844,
            0.00775699923,
            0.00702744955,
            0.00629790034,
            0.00556835067,
            0.00483880099,
            0.00410925131,
            0.00337970164,
            0.00265015196,
            0.00190719881,
            0.000934466021,
            -3.82666476e-5,
            -0.00101099955,
            -0.00198373245,
            -0.00295646489,
            -0.00392919779,
            -0.00490193069,
            -0.00587466359,
            -0.00684739649,
            -0.00782012939,
            -0.0087928623,
            -0.00976559427,
            -0.0107383272,
            -0.0117110601,
            -0.012683793,
            -0.0136565259,
            -0.0144033087,
            -0.0151328584,
            -0.015862409,
            -0.0165919568,
            -0.0173215065,
            -0.0180510562,
            -0.0187806059,
            -0.0195101555,
            -0.0202397052,
            -0.0209692549,
            -0.0216988046,
            -0.0224283542,
            -0.0231579039,
            -0.0238874536,
            -0.0246170033,
            -0.025346553,
            -0.0260761026,
            -0.0268056523,
            -0.027535202,
            -0.0282647517,
            -0.0289943013,
            -0.0297238491,
            -0.0304533988,
            -0.0311829485,
            -0.0319124982,
            -0.0326420479,
            -0.0333715975,
            -0.0341011472,
            -0.0348306969,
            -0.0355602466,
            -0.0362897962,
            -0.0370193459,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0369446687,
            -0.0362151191,
            -0.0354855694,
            -0.0347560197,
            -0.03402647,
            -0.0332969204,
            -0.0325673707,
            -0.031837821,
            -0.0311082713,
            -0.0303787217,
            -0.029649172,
            -0.0289196223,
            -0.0281900726,
            -0.0274605229,
            -0.0267309733,
            -0.0260014236,
            -0.0252718739,
            -0.0245423242,
            -0.0238127746,
            -0.0230832249,
            -0.0223536752,
            -0.0216241255,
            -0.0208945759,
            -0.0201650262,
            -0.0194354765,
            -0.0187059287,
            -0.017976379,
            -0.0172468275,
            -0.0165172797,
            -0.01578773,
            -0.0150581803,
            -0.0143286306,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.012371676,
            -0.0106693935,
            -0.00896711089,
            -0.00726482878,
            -0.00556254666,
            -0.00386026409,
            -0.00215798151,
            -0.00045569893,
            0.00124658272,
            0.00294886529,
            0.00465114787,
            0.00635343045,
            0.00805571303,
            0.00975799561,
            0.0114602782,
            0.0131625589,
            0.0147020817,
            0.016161181,
            0.0176202804,
            0.0190793797,
            0.0205384791,
            0.0219975784,
            0.0234566778,
            0.0249157771,
            0.0263748746,
            0.027833974,
            0.0292930733,
            0.0307521727,
            0.0322112739,
            0.0336703733,
            0.0351294726,
            0.036588572,
            0.0376513004,
            0.0383808501,
            0.0391103998,
            0.0398399495,
            0.0405694991,
            0.0412990451,
            0.0420285985,
            0.0427581444,
            0.0434876941,
            0.0442172438,
            0.0449467935,
            0.0456763431,
            0.0464058928,
            0.0471354425,
            0.0478649922,
            0.0485945418,
            0.0493240915,
            0.0500536412,
            0.0507831909,
            0.0515127406,
            0.0522422902,
            0.0529718399,
            0.0537013896,
            0.0544309393,
            0.0551604889,
            0.0558900386,
            0.0566195883,
            0.057349138,
            0.0580786876,
            0.0588082373,
            0.059537787,
            0.0602673367,
            0.0614928268,
            0.0639246553,
            0.0663564876,
            0.0687883198,
            0.0712201521,
            0.0736519843,
            0.0760838166,
            0.0785156488,
            0.0809474811,
            0.0833793133,
            0.0858111456,
            0.0882429779,
            0.0906748101,
            0.0931066424,
            0.0955384746,
            0.0979703069,
            0.100241289,
            0.101700388,
            0.103159487,
            0.104618587,
            0.106077686,
            0.107536785,
            0.108995885,
            0.110454984,
            0.111914083,
            0.113373183,
            0.114832282,
            0.116291381,
            0.117750481,
            0.11920958,
            0.120668679,
            0.122127779,
            0.12356773,
            0.124540463,
            0.125513196,
            0.126485929,
            0.127458662,
            0.128431395,
            0.129404128,
            0.13037686,
            0.131349593,
            0.132322326,
            0.133295059,
            0.134267792,
            0.135240525,
            0.136213258,
            0.137185991,
            0.138158724,
            0.139131457,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139790162,
            0.140519708,
            0.141249254,
            0.1419788,
            0.142708361,
            0.143437907,
            0.144167453,
            0.144896999,
            0.14562656,
            0.146356106,
            0.147085652,
            0.147815198,
            0.148544759,
            0.149274305,
            0.15000385,
            0.150733396,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151187211,
            0.151916772,
            0.152646318,
            0.153375879,
            0.154105425,
            0.154834986,
            0.155564532,
            0.156294093,
            0.157023638,
            0.157753199,
            0.158482745,
            0.159212306,
            0.159941852,
            0.160671413,
            0.161400959,
            0.16213052,
            0.162860066,
            0.163589612,
            0.164319158,
            0.165048704,
            0.16577825,
            0.166507795,
            0.167237341,
            0.167966887,
            0.168696433,
            0.169425979,
            0.170155525,
            0.170885071,
            0.171614617,
            0.172344163,
            0.173073709,
            0.173803255,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.175078526,
            0.175808072,
            0.176537633,
            0.177267179,
            0.177996725,
            0.178726271,
            0.179455832,
            0.180185378,
            0.180914924,
            0.181644469,
            0.18237403,
            0.183103576,
            0.183833122,
            0.184562668,
            0.185292214,
            0.186021775,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185889646,
            0.1851601,
            0.184430555,
            0.183700994,
            0.182971448,
            0.182241902,
            0.181512356,
            0.180782795,
            0.180053249,
            0.179323703,
            0.178594157,
            0.177864596,
            0.17713505,
            0.176405504,
            0.175675958,
            0.174946398,
            0.174216852,
            0.173487306,
            0.17275776,
            0.172028214,
            0.171298668,
            0.170569122,
            0.169839576,
            0.16911003,
            0.168380484,
            0.167650938,
            0.166921392,
            0.166191846,
            0.1654623,
            0.164732754,
            0.164003208,
            0.163273662,
            0.162544116,
            0.16181457,
            0.16108501,
            0.160355464,
            0.159625903,
            0.158896357,
            0.158166796,
            0.15743725,
            0.156707689,
            0.155978143,
            0.155248582,
            0.154519036,
            0.153789476,
            0.15305993,
            0.152330369,
            0.151600823,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150325537,
            0.149595991,
            0.148866445,
            0.148136899,
            0.147407338,
            0.146677792,
            0.145948246,
            0.1452187,
            0.144489139,
            0.143759593,
            0.143030047,
            0.142300501,
            0.141570941,
            0.140841395,
            0.140111849,
            0.139382303,
            0.138465092,
            0.137492359,
            0.136519626,
            0.135546893,
            0.13457416,
            0.133601427,
            0.132628694,
            0.131655961,
            0.130683228,
            0.129710495,
            0.128737763,
            0.12776503,
            0.126792297,
            0.125819564,
            0.124846838,
            0.123874106,
            0.123058386,
            0.12232884,
            0.121599287,
            0.120869741,
            0.120140187,
            0.119410641,
            0.118681088,
            0.117951542,
            0.117221989,
            0.116492443,
            0.115762889,
            0.115033343,
            0.11430379,
            0.113574244,
            0.112844691,
            0.112115145,
            0.111385591,
            0.110656045,
            0.109926492,
            0.109196946,
            0.108467393,
            0.107737847,
            0.107008293,
            0.106278747,
            0.105549194,
            0.104819648,
            0.104090095,
            0.103360549,
            0.102630995,
            0.101901449,
            0.101171896,
            0.10044235,
            0.0997127965,
            0.0989832506,
            0.0982536972,
            0.0975241512,
            0.0967945978,
            0.0960650519,
            0.0953354985,
            0.0946059525,
            0.0938764066,
            0.0931468531,
            0.0924172997,
            0.0916877538,
            0.0909582078,
            0.0902286544,
            0.0894991085,
            0.0887695551,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882238299,
            0.0874942765,
            0.0867647305,
            0.0860351771,
            0.0853056312,
            0.0845760852,
            0.0838465318,
            0.0831169859,
            0.0823874325,
            0.0816578865,
            0.0809283331,
            0.0801987872,
            0.0794692338,
            0.0787396878,
            0.0780101344,
            0.0772805884,
            0.076551035,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0770278275,
            0.0777573809,
            0.0784869269,
            0.0792164803,
            0.0799460262,
            0.0806755796,
            0.0814051256,
            0.082134679,
            0.0828642249,
            0.0835937709,
            0.0843233243,
            0.0850528777,
            0.0857824236,
            0.0865119696,
            0.087241523,
            0.0879710764,
            0.0887006223,
            0.0894301683,
            0.0901597217,
            0.0908892676,
            0.091618821,
            0.092348367,
            0.0930779204,
            0.0938074663,
            0.0945370197,
            0.0952665657,
            0.0959961191,
            0.096725665,
            0.0974552184,
            0.0981847644,
            0.0989143178,
            0.0996438637,
            0.0996266305,
            0.0988970846,
            0.0981675312,
            0.0974379852,
            0.0967084318,
            0.0959788859,
            0.0952493325,
            0.0945197865,
            0.0937902331,
            0.0930606872,
            0.0923311338,
            0.0916015878,
            0.0908720344,
            0.0901424885,
            0.0894129351,
            0.0886833891,
            0.0879538357,
            0.0872242898,
            0.0864947364,
            0.0857651904,
            0.085035637,
            0.0843060911,
            0.0835765451,
            0.0828469917,
            0.0821174383,
            0.0813878924,
            0.0806583464,
            0.079928793,
            0.0791992471,
            0.0784696937,
            0.0777401477,
            0.0770105943,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0765682682,
            0.0772978216,
            0.0780273676,
            0.078756921,
            0.0794864669,
            0.0802160203,
            0.0809455663,
            0.0816751197,
            0.0824046656,
            0.0831342191,
            0.083863765,
            0.0845933184,
            0.0853228644,
            0.0860524178,
            0.0867819637,
            0.0875115097,
            0.0882410631,
            0.0889706165,
            0.0897001624,
            0.0904297084,
            0.0911592618,
            0.0918888077,
            0.0926183611,
            0.0933479071,
            0.0940774605,
            0.0948070064,
            0.0955365598,
            0.0962661058,
            0.0969956592,
            0.0977252051,
            0.0984547585,
            0.0991843045,
            0.0999138579,
            0.100643404,
            0.101372957,
            0.102102503,
            0.102832057,
            0.103561603,
            0.104291156,
            0.105020702,
            0.105750255,
            0.106479801,
            0.107209355,
            0.107938901,
            0.108668454,
            0.109398,
            0.110127553,
            0.110857099,
            0.111586653,
            0.112316199,
            0.113045752,
            0.113775298,
            0.114504851,
            0.115234397,
            0.115963951,
            0.116693497,
            0.11742305,
            0.118152596,
            0.118882149,
            0.119611695,
            0.120341241,
            0.121070795,
            0.121800348,
            0.122529894,
            0.12325944,
            0.124142177,
            0.125114918,
            0.126087651,
            0.127060384,
            0.128033116,
            0.129005849,
            0.129978582,
            0.130951315,
            0.131924048,
            0.132896781,
            0.133869514,
            0.134842247,
            0.135814965,
            0.136787713,
            0.137760431,
            0.138733178,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139307618,
            0.140037164,
            0.140766725,
            0.141496271,
            0.142225817,
            0.142955363,
            0.143684924,
            0.14441447,
            0.145144016,
            0.145873562,
            0.146603122,
            0.147332668,
            0.148062214,
            0.14879176,
            0.149521321,
            0.150250867
          ],
          [
            0.174509823,
            0.176941648,
            0.179373488,
            0.181805313,
            0.184237152,
            0.186668977,
            0.189100817,
            0.191532642,
            0.193964481,
            0.196396306,
            0.198828146,
            0.201259971,
            0.20369181,
            0.206123635,
            0.208555475,
            0.2109873,
            0.213419139,
            0.215638414,
            0.217827067,
            0.22001572,
            0.222204372,
            0.22439301,
            0.226581663,
            0.228770316,
            0.230958968,
            0.233147606,
            0.235336259,
            0.237524912,
            0.23971355,
            0.241902202,
            0.244090855,
            0.246279508,
            0.248468161,
            0.249565348,
            0.250294894,
            0.251024455,
            0.251754016,
            0.252483577,
            0.253213108,
            0.253942668,
            0.254672229,
            0.25540179,
            0.256131321,
            0.256860882,
            0.257590443,
            0.258320004,
            0.259049535,
            0.259779096,
            0.260508657,
            0.261389464,
            0.262362212,
            0.26333496,
            0.264307678,
            0.265280426,
            0.266253144,
            0.267225891,
            0.268198639,
            0.269171357,
            0.270144105,
            0.271116853,
            0.272089571,
            0.273062319,
            0.274035037,
            0.275007784,
            0.275980532,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276110739,
            0.275137991,
            0.274165273,
            0.273192525,
            0.272219777,
            0.271247059,
            0.270274311,
            0.269301564,
            0.268328846,
            0.267356098,
            0.26638338,
            0.265410632,
            0.264437884,
            0.263465166,
            0.262492418,
            0.26151967,
            0.261021823,
            0.26199457,
            0.262967288,
            0.263940036,
            0.264912784,
            0.265885502,
            0.26685825,
            0.267830968,
            0.268803716,
            0.269776464,
            0.270749182,
            0.271721929,
            0.272694677,
            0.273667395,
            0.274640143,
            0.275612861,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.277918339,
            0.279377431,
            0.280836523,
            0.282295614,
            0.283754706,
            0.285213798,
            0.28667289,
            0.288131982,
            0.289591104,
            0.291050196,
            0.292509288,
            0.293968379,
            0.295427471,
            0.296886563,
            0.298345655,
            0.299804747,
            0.30063197,
            0.301361501,
            0.302091062,
            0.302820623,
            0.303550154,
            0.304279715,
            0.305009276,
            0.305738807,
            0.306468368,
            0.307197899,
            0.307927459,
            0.30865702,
            0.309386551,
            0.310116112,
            0.310845673,
            0.311575204,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.31150052,
            0.310770988,
            0.310041428,
            0.309311867,
            0.308582336,
            0.307852775,
            0.307123244,
            0.306393683,
            0.305664122,
            0.304934591,
            0.30420503,
            0.303475499,
            0.302745938,
            0.302016377,
            0.301286846,
            0.300557286,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300626218,
            0.301355779,
            0.30208531,
            0.302814871,
            0.303544432,
            0.304273963,
            0.305003524,
            0.305733055,
            0.306462616,
            0.307192177,
            0.307921708,
            0.308651268,
            0.309380829,
            0.31011036,
            0.310839921,
            0.311569452,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.312207103,
            0.312936664,
            0.313666195,
            0.314395756,
            0.315125287,
            0.315854847,
            0.316584408,
            0.317313939,
            0.3180435,
            0.318773061,
            0.319502592,
            0.320232153,
            0.320961684,
            0.321691245,
            0.322420806,
            0.323150337,
            0.323179066,
            0.322449505,
            0.321719974,
            0.320990413,
            0.320260882,
            0.319531322,
            0.318801761,
            0.31807223,
            0.317342669,
            0.316613108,
            0.315883577,
            0.315154016,
            0.314424485,
            0.313694924,
            0.312965363,
            0.312235832,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311431587,
            0.309972495,
            0.308513403,
            0.307054311,
            0.305595189,
            0.304136097,
            0.302677006,
            0.301217914,
            0.299758792,
            0.2982997,
            0.296840608,
            0.295381516,
            0.293922395,
            0.292463303,
            0.291004211,
            0.289545119,
            0.288160682,
            0.287431151,
            0.28670159,
            0.285972059,
            0.285242498,
            0.284512967,
            0.283783406,
            0.283053875,
            0.282324314,
            0.281594783,
            0.280865222,
            0.280135691,
            0.27940613,
            0.278676599,
            0.277947038,
            0.277217507,
            0.276487947,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.275023103,
            0.273320824,
            0.271618515,
            0.269916236,
            0.268213958,
            0.266511649,
            0.26480937,
            0.263107061,
            0.261404783,
            0.259702504,
            0.258000195,
            0.256297916,
            0.254595637,
            0.252893329,
            0.25119105,
            0.249488756,
            0.248491123,
            0.247761577,
            0.247032031,
            0.246302485,
            0.245572925,
            0.244843379,
            0.244113833,
            0.243384287,
            0.242654741,
            0.24192518,
            0.241195634,
            0.240466088,
            0.239736527,
            0.239006981,
            0.238277435,
            0.237547889,
            0.236818343,
            0.236088783,
            0.235359237,
            0.234629691,
            0.233900145,
            0.233170584,
            0.232441038,
            0.231711492,
            0.230981946,
            0.230252385,
            0.229522839,
            0.228793293,
            0.228063747,
            0.227334186,
            0.22660464,
            0.225875095,
            0.225145549,
            0.224415988,
            0.223686442,
            0.222956896,
            0.22222735,
            0.221497789,
            0.220768243,
            0.220038697,
            0.219309151,
            0.21857959,
            0.217850044,
            0.217120498,
            0.216390952,
            0.215661407,
            0.214931846,
            0.2142023,
            0.213472754,
            0.212743208,
            0.212013662,
            0.211284116,
            0.21055457,
            0.209825024,
            0.209095478,
            0.208365932,
            0.207636386,
            0.20690684,
            0.206177294,
            0.205447748,
            0.204718202,
            0.203988656,
            0.20325911,
            0.202529564,
            0.201585561,
            0.199883267,
            0.198180988,
            0.196478695,
            0.194776416,
            0.193074122,
            0.191371843,
            0.189669549,
            0.187967271,
            0.186264977,
            0.184562698,
            0.182860404,
            0.181158125,
            0.179455832,
            0.177753553,
            0.176051259,
            0.174303025,
            0.172114372,
            0.169925719,
            0.167737082,
            0.165548429,
            0.163359776,
            0.161171123,
            0.158982486,
            0.156793833,
            0.15460518,
            0.152416527,
            0.150227889,
            0.148039237,
            0.145850584,
            0.143661946,
            0.141473293,
            0.139284641,
            0.138273612,
            0.137300879,
            0.136328146,
            0.135355413,
            0.13438268,
            0.133409947,
            0.132437214,
            0.131464481,
            0.130491748,
            0.129519016,
            0.128546283,
            0.12757355,
            0.126600817,
            0.125628084,
            0.124655351,
            0.123682618,
            0.122300118,
            0.120841011,
            0.11938192,
            0.11792282,
            0.116463721,
            0.115004621,
            0.113545522,
            0.112086423,
            0.110627323,
            0.109168224,
            0.107709125,
            0.106250025,
            0.104790926,
            0.103331827,
            0.101872727,
            0.100413628,
            0.0989545286,
            0.0974954292,
            0.0960363299,
            0.0945772305,
            0.0931181312,
            0.0916590318,
            0.0901999325,
            0.0887408331,
            0.0872817338,
            0.0858226344,
            0.084363535,
            0.0829044357,
            0.0814453363,
            0.079986237,
            0.0785271376,
            0.0770680383,
            0.0750344917,
            0.0726026595,
            0.0701708272,
            0.067738995,
            0.0653071627,
            0.0628753304,
            0.0604434982,
            0.0580116659,
            0.0555798374,
            0.0531480052,
            0.0507161729,
            0.0482843406,
            0.0458525084,
            0.0434206761,
            0.0409888439,
            0.0385570116,
            0.0369160064,
            0.0361864567,
            0.035456907,
            0.0347273573,
            0.0339978077,
            0.033268258,
            0.0325387083,
            0.0318091586,
            0.0310796089,
            0.0303500593,
            0.0296205096,
            0.0288909599,
            0.0281614102,
            0.0274318606,
            0.0267023109,
            0.0259727612,
            0.0249961987,
            0.0235370994,
            0.022078,
            0.0206189007,
            0.0191598013,
            0.017700702,
            0.0162416026,
            0.0147825042,
            0.0133234048,
            0.0118643064,
            0.0104052071,
            0.0089461077,
            0.00748700835,
            0.006027909,
            0.00456880964,
            0.00310971029,
            0.00159891148,
            -0.000103370985,
            -0.00180565333,
            -0.00350793544,
            -0.00521021802,
            -0.0069125006,
            -0.00861478318,
            -0.0103170648,
            -0.0120193474,
            -0.01372163,
            -0.0154239126,
            -0.0171261951,
            -0.0188284777,
            -0.0205307603,
            -0.022233041,
            -0.0239353236,
            -0.0256165434,
            -0.0270756427,
            -0.0285347421,
            -0.0299938414,
            -0.0314529389,
            -0.0329120383,
            -0.0343711376,
            -0.035830237,
            -0.0372893363,
            -0.0387484357,
            -0.040207535,
            -0.0416666344,
            -0.0431257337,
            -0.0445848331,
            -0.0460439324,
            -0.0475030318,
            -0.0489621311,
            -0.0497204028,
            -0.0504499525,
            -0.0511795022,
            -0.0519090518,
            -0.0526386015,
            -0.0533681512,
            -0.0540977009,
            -0.0548272505,
            -0.0555568002,
            -0.0562863499,
            -0.0570158958,
            -0.0577454492,
            -0.0584749952,
            -0.0592045486,
            -0.0599340945,
            -0.0606636479,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0614736192,
            -0.0624463521,
            -0.0634190813,
            -0.0643918142,
            -0.0653645471,
            -0.06633728,
            -0.0673100129,
            -0.0682827458,
            -0.0692554787,
            -0.0702282116,
            -0.0712009445,
            -0.0721736774,
            -0.0731464103,
            -0.0741191432,
            -0.0750918761,
            -0.076064609,
            -0.0768956468,
            -0.0776251927,
            -0.0783547461,
            -0.0790842921,
            -0.0798138455,
            -0.0805433914,
            -0.0812729448,
            -0.0820024908,
            -0.0827320442,
            -0.0834615901,
            -0.0841911435,
            -0.0849206895,
            -0.0856502429,
            -0.0863797888,
            -0.0871093422,
            -0.0878388882,
            -0.0885684416,
            -0.0892979875,
            -0.0900275409,
            -0.0907570869,
            -0.0914866403,
            -0.0922161862,
            -0.0929457396,
            -0.0936752856,
            -0.094404839,
            -0.0951343849,
            -0.0958639383,
            -0.0965934843,
            -0.0973230302,
            -0.0980525836,
            -0.098782137,
            -0.099511683,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100419313,
            -0.101148859,
            -0.101878405,
            -0.102607951,
            -0.103337504,
            -0.10406705,
            -0.104796596,
            -0.105526142,
            -0.106255695,
            -0.106985241,
            -0.107714787,
            -0.108444333,
            -0.109173886,
            -0.109903432,
            -0.110632978,
            -0.111362524,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111529119,
            -0.110799566,
            -0.11007002,
            -0.109340474,
            -0.108610928,
            -0.107881375,
            -0.107151829,
            -0.106422283,
            -0.105692737,
            -0.104963183,
            -0.104233637,
            -0.103504092,
            -0.102774546,
            -0.102045,
            -0.101315446,
            -0.1005859,
            -0.0997127369,
            -0.0982536376,
            -0.0967945382,
            -0.0953354388,
            -0.0938763469,
            -0.0924172401,
            -0.0909581482,
            -0.0894990489,
            -0.0880399495,
            -0.0865808502,
            -0.0851217508,
            -0.0836626515,
            -0.0822035521,
            -0.0807444528,
            -0.0792853534,
            -0.0778262541,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0748621002,
            -0.0731598139,
            -0.071457535,
            -0.0697552487,
            -0.0680529699,
            -0.0663506836,
            -0.0646484047,
            -0.0629461184,
            -0.0612438396,
            -0.059541557,
            -0.0578392744,
            -0.0561369918,
            -0.0544347093,
            -0.0527324267,
            -0.0510301441,
            -0.0493278652,
            -0.0484221503,
            -0.0476926006,
            -0.046963051,
            -0.0462335013,
            -0.0455039516,
            -0.0447744019,
            -0.0440448523,
            -0.0433153026,
            -0.0425857529,
            -0.0418562032,
            -0.0411266536,
            -0.0403971039,
            -0.0396675542,
            -0.0389380045,
            -0.0382084548,
            -0.0374789052,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0368412659,
            -0.0361117162,
            -0.0353821665,
            -0.0346526168,
            -0.0339230672,
            -0.0331935175,
            -0.0324639678,
            -0.0317344218,
            -0.0310048703,
            -0.0302753206,
            -0.029545771,
            -0.0288162213,
            -0.0280866716,
            -0.0273571219,
            -0.0266275741,
            -0.0258980244,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254442096,
            -0.0247146599,
            -0.0239851102,
            -0.0232555605,
            -0.0225260109,
            -0.0217964612,
            -0.0210669115,
            -0.0203373618,
            -0.0196078122,
            -0.0188782625,
            -0.0181487128,
            -0.0174191631,
            -0.0166896135,
            -0.0159600638,
            -0.015230515,
            -0.0145009654,
            -0.0137714157,
            -0.0128140012,
            -0.0118412683,
            -0.0108685363,
            -0.00989580341,
            -0.00892307051,
            -0.0079503376,
            -0.0069776047,
            -0.0060048718,
            -0.0050321389,
            -0.004059406,
            -0.0030866731,
            -0.00211394019,
            -0.00114120822,
            -0.000168475322,
            0.000804257579,
            0.00177699048,
            0.0025524958,
            0.00328204548,
            0.00401159516,
            0.00474114483,
            0.00547069404,
            0.00620024372,
            0.0069297934,
            0.00765934307,
            0.00838889275,
            0.00911844242,
            0.0098479921,
            0.0105775418,
            0.0113070915,
            0.0120366402,
            0.0127661899,
            0.0134957395,
            0.0142252892,
            0.0149548389,
            0.0156843886,
            0.0164139383,
            0.0171434879,
            0.0178730376,
            0.0186025873,
            0.019332137,
            0.0200616866,
            0.0207912363,
            0.021520786,
            0.0222503357,
            0.0229798853,
            0.023709435,
            0.0244389847,
            0.0251685344,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0251742769,
            0.0244447291,
            0.0237151794,
            0.0229856297,
            0.0222560801,
            0.0215265304,
            0.0207969807,
            0.020067431,
            0.0193378814,
            0.0186083317,
            0.017878782,
            0.0171492323,
            0.0164196827,
            0.015690133,
            0.0149605833,
            0.0142310336,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0136853075,
            0.0129557578,
            0.012226209,
            0.0114966594,
            0.0107671097,
            0.01003756,
            0.00930801034,
            0.00857846066,
            0.00784891099,
            0.00711936131,
            0.0063898121,
            0.00566026196,
            0.00493071228,
            0.00420116354,
            0.00347161386,
            0.00274206419,
            0.00201251451,
            0.000379165867,
            -0.00132311648,
            -0.00302539906,
            -0.00472768117,
            -0.00642996375,
            -0.00813224632,
            -0.00983452797,
            -0.0115368105,
            -0.0132390931,
            -0.0149413757,
            -0.0166436583,
            -0.0183459409,
            -0.0200482234,
            -0.0217505042,
            -0.0234527867,
            -0.0251550693,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0258922782,
            -0.0266218279,
            -0.0273513775,
            -0.0280809272,
            -0.0288104769,
            -0.0295400266,
            -0.0302695762,
            -0.0309991259,
            -0.0317286775,
            -0.0324582234,
            -0.0331877731,
            -0.0339173228,
            -0.0346468724,
            -0.0353764221,
            -0.0361059718,
            -0.0368355215,
            -0.0369446687,
            -0.0362151191,
            -0.0354855694,
            -0.0347560197,
            -0.03402647,
            -0.0332969204,
            -0.0325673707,
            -0.031837821,
            -0.0311082713,
            -0.0303787217,
            -0.029649172,
            -0.0289196223,
            -0.0281900726,
            -0.0274605229,
            -0.0267309733,
            -0.0260014236,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0241363812,
            -0.0224340986,
            -0.0207318161,
            -0.0190295335,
            -0.0173272528,
            -0.0156249693,
            -0.0139226867,
            -0.0122204041,
            -0.0105181225,
            -0.00881583989,
            -0.00711355731,
            -0.00541127473,
            -0.00370899215,
            -0.00200670958,
            -0.000304426998,
            0.00139785372,
            0.0029373765,
            0.00439647585,
            0.00585557474,
            0.00731467409,
            0.00877377298,
            0.0102328723,
            0.0116919717,
            0.013151071,
            0.0146101695,
            0.0160692688,
            0.0175283682,
            0.0189874675,
            0.0204465669,
            0.0219056662,
            0.0233647656,
            0.0248238649,
            0.0258865934,
            0.0266161431,
            0.0273456927,
            0.0280752424,
            0.0288047921,
            0.0295343418,
            0.0302638914,
            0.0309934411,
            0.0317229889,
            0.0324525386,
            0.0331820883,
            0.033911638,
            0.0346411876,
            0.0353707373,
            0.036100287,
            0.0368298367,
            0.0375593863,
            0.038288936,
            0.0390184857,
            0.0397480354,
            0.040477585,
            0.0412071347,
            0.0419366844,
            0.0426662341,
            0.0433957838,
            0.0441253334,
            0.0448548831,
            0.0455844328,
            0.0463139825,
            0.0470435321,
            0.0477730818,
            0.0485026315,
            0.0495155752,
            0.0512178577,
            0.0529201403,
            0.0546224229,
            0.0563247055,
            0.0580269881,
            0.0597292706,
            0.0614315532,
            0.0631338358,
            0.0648361146,
            0.0665384009,
            0.0682406798,
            0.0699429661,
            0.071645245,
            0.0733475313,
            0.0750498101,
            0.076832518,
            0.0790211633,
            0.081209816,
            0.0833984613,
            0.0855871141,
            0.0877757594,
            0.0899644047,
            0.0921530575,
            0.0943417102,
            0.0965303555,
            0.0987190008,
            0.100907654,
            0.103096299,
            0.105284952,
            0.107473597,
            0.10966225,
            0.111831747,
            0.113534033,
            0.115236312,
            0.116938598,
            0.118640877,
            0.120343164,
            0.122045442,
            0.123747721,
            0.12545,
            0.127152294,
            0.128854573,
            0.130556852,
            0.13225913,
            0.133961424,
            0.135663703,
            0.137365982,
            0.139068261,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139790162,
            0.140519708,
            0.141249254,
            0.1419788,
            0.142708361,
            0.143437907,
            0.144167453,
            0.144896999,
            0.14562656,
            0.146356106,
            0.147085652,
            0.147815198,
            0.148544759,
            0.149274305,
            0.15000385,
            0.150733396,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151095301,
            0.151824862,
            0.152554408,
            0.153283969,
            0.154013515,
            0.154743075,
            0.155472621,
            0.156202182,
            0.156931728,
            0.157661289,
            0.158390835,
            0.159120396,
            0.159849942,
            0.160579503,
            0.161309049,
            0.162038609,
            0.162768155,
            0.163497701,
            0.164227247,
            0.164956793,
            0.165686339,
            0.166415885,
            0.167145431,
            0.167874977,
            0.168604523,
            0.169334069,
            0.170063615,
            0.170793161,
            0.171522707,
            0.172252253,
            0.172981799,
            0.173711345,
            0.174440891,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.175078526,
            0.175808072,
            0.176537633,
            0.177267179,
            0.177996725,
            0.178726271,
            0.179455832,
            0.180185378,
            0.180914924,
            0.181644469,
            0.18237403,
            0.183103576,
            0.183833122,
            0.184562668,
            0.185292214,
            0.186021775,
            0.186910257,
            0.18788299,
            0.188855723,
            0.18982847,
            0.190801203,
            0.191773936,
            0.192746669,
            0.193719417,
            0.19469215,
            0.195664883,
            0.196637616,
            0.197610348,
            0.198583096,
            0.199555829,
            0.200528562,
            0.201501295,
            0.201447681,
            0.200474948,
            0.199502215,
            0.198529482,
            0.197556734,
            0.196584001,
            0.195611268,
            0.194638535,
            0.193665788,
            0.192693055,
            0.191720322,
            0.190747589,
            0.189774841,
            0.188802108,
            0.187829375,
            0.186856642,
            0.185981557,
            0.185252011,
            0.184522465,
            0.183792904,
            0.183063358,
            0.182333812,
            0.181604266,
            0.180874705,
            0.180145159,
            0.179415613,
            0.178686067,
            0.177956522,
            0.177226961,
            0.176497415,
            0.175767869,
            0.175038323,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174492583,
            0.173763037,
            0.173033506,
            0.172303945,
            0.171574414,
            0.170844853,
            0.170115322,
            0.169385761,
            0.16865623,
            0.167926684,
            0.167197138,
            0.166467577,
            0.165738046,
            0.1650085,
            0.164278954,
            0.163549408,
            0.162819862,
            0.162090302,
            0.161360756,
            0.160631195,
            0.159901649,
            0.159172088,
            0.158442542,
            0.157712981,
            0.156983435,
            0.156253874,
            0.155524328,
            0.154794767,
            0.154065222,
            0.153335661,
            0.152606115,
            0.151876554,
            0.151147008,
            0.149666846,
            0.147964552,
            0.146262273,
            0.144559994,
            0.142857715,
            0.141155422,
            0.139453143,
            0.137750864,
            0.136048585,
            0.134346306,
            0.132644013,
            0.130941734,
            0.129239455,
            0.127537176,
            0.125834882,
            0.124132603,
            0.123058386,
            0.12232884,
            0.121599287,
            0.120869741,
            0.120140187,
            0.119410641,
            0.118681088,
            0.117951542,
            0.117221989,
            0.116492443,
            0.115762889,
            0.115033343,
            0.11430379,
            0.113574244,
            0.112844691,
            0.112115145,
            0.111385591,
            0.110656045,
            0.109926492,
            0.109196946,
            0.108467393,
            0.107737847,
            0.107008293,
            0.106278747,
            0.105549194,
            0.104819648,
            0.104090095,
            0.103360549,
            0.102630995,
            0.101901449,
            0.101171896,
            0.10044235,
            0.0997127965,
            0.0989832506,
            0.0982536972,
            0.0975241512,
            0.0967945978,
            0.0960650519,
            0.0953354985,
            0.0946059525,
            0.0938764066,
            0.0931468531,
            0.0924172997,
            0.0916877538,
            0.0909582078,
            0.0902286544,
            0.0894991085,
            0.0887695551,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882238299,
            0.0874942765,
            0.0867647305,
            0.0860351771,
            0.0853056312,
            0.0845760852,
            0.0838465318,
            0.0831169859,
            0.0823874325,
            0.0816578865,
            0.0809283331,
            0.0801987872,
            0.0794692338,
            0.0787396878,
            0.0780101344,
            0.0772805884,
            0.076551035,
            0.0771197379,
            0.0778492913,
            0.0785788372,
            0.0793083906,
            0.0800379366,
            0.08076749,
            0.0814970359,
            0.0822265893,
            0.0829561353,
            0.0836856887,
            0.0844152346,
            0.085144788,
            0.085874334,
            0.0866038874,
            0.0873334333,
            0.0880629867,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0887006223,
            0.0894301683,
            0.0901597217,
            0.0908892676,
            0.091618821,
            0.092348367,
            0.0930779204,
            0.0938074663,
            0.0945370197,
            0.0952665657,
            0.0959961191,
            0.096725665,
            0.0974552184,
            0.0981847644,
            0.0989143178,
            0.0996438637,
            0.0996266305,
            0.0988970846,
            0.0981675312,
            0.0974379852,
            0.0967084318,
            0.0959788859,
            0.0952493325,
            0.0945197865,
            0.0937902331,
            0.0930606872,
            0.0923311338,
            0.0916015878,
            0.0908720344,
            0.0901424885,
            0.0894129351,
            0.0886833891,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882410631,
            0.0889706165,
            0.0897001624,
            0.0904297084,
            0.0911592618,
            0.0918888077,
            0.0926183611,
            0.0933479071,
            0.0940774605,
            0.0948070064,
            0.0955365598,
            0.0962661058,
            0.0969956592,
            0.0977252051,
            0.0984547585,
            0.0991843045,
            0.0999138579,
            0.101286791,
            0.102745891,
            0.10420499,
            0.105664089,
            0.107123181,
            0.108582288,
            0.11004138,
            0.111500487,
            0.112959579,
            0.114418678,
            0.115877777,
            0.117336877,
            0.118795976,
            0.120255075,
            0.121714175,
            0.123173274,
            0.124264732,
            0.125237465,
            0.126210198,
            0.127182931,
            0.128155664,
            0.129128397,
            0.130101129,
            0.131073862,
            0.132046595,
            0.133019328,
            0.133992061,
            0.134964794,
            0.135937527,
            0.13691026,
            0.137882993,
            0.138855726,
            0.13967526,
            0.14040482,
            0.141134366,
            0.141863912,
            0.142593458,
            0.143323019,
            0.144052565,
            0.144782111,
            0.145511657,
            0.146241218,
            0.146970764,
            0.14770031,
            0.148429856,
            0.149159417,
            0.149888963,
            0.150618508,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151072323,
            0.151801884,
            0.15253143,
            0.153260991,
            0.153990537,
            0.154720098,
            0.155449644,
            0.156179205,
            0.156908751,
            0.157638311,
            0.158367857,
            0.159097418,
            0.159826964,
            0.160556525,
            0.161286071,
            0.162015617
          ],
          [
            0.201960862,
            0.2041495,
            0.206338152,
            0.20852679,
            0.210715443,
            0.212904081,
            0.215092734,
            0.217281371,
            0.219470024,
            0.221658662,
            0.223847315,
            0.226035953,
            0.228224605,
            0.230413243,
            0.232601896,
            0.234790534,
            0.236979187,
            0.238530204,
            0.239989296,
            0.241448402,
            0.242907509,
            0.244366601,
            0.245825708,
            0.247284815,
            0.248743922,
            0.250203013,
            0.251662135,
            0.253121227,
            0.254580319,
            0.256039441,
            0.257498533,
            0.258957624,
            0.260416746,
            0.261512011,
            0.262484759,
            0.263457507,
            0.264430225,
            0.265402973,
            0.266375721,
            0.267348439,
            0.268321186,
            0.269293904,
            0.270266652,
            0.2712394,
            0.272212118,
            0.273184866,
            0.274157614,
            0.275130332,
            0.276103079,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.27664879,
            0.27737835,
            0.278107882,
            0.278837442,
            0.279566973,
            0.280296534,
            0.281026065,
            0.281755626,
            0.282485157,
            0.283214718,
            0.283944249,
            0.28467381,
            0.285403341,
            0.286132902,
            0.286862433,
            0.287591994,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288959175,
            0.289688706,
            0.290418267,
            0.291147828,
            0.291877359,
            0.29260692,
            0.293336481,
            0.294066012,
            0.294795573,
            0.295525104,
            0.296254665,
            0.296984226,
            0.297713757,
            0.298443317,
            0.299172878,
            0.299902409,
            0.30063197,
            0.301361501,
            0.302091062,
            0.302820623,
            0.303550154,
            0.304279715,
            0.305009276,
            0.305738807,
            0.306468368,
            0.307197899,
            0.307927459,
            0.30865702,
            0.309386551,
            0.310116112,
            0.310845673,
            0.311575204,
            0.312304765,
            0.313034296,
            0.313763857,
            0.314493418,
            0.315222949,
            0.31595251,
            0.316682041,
            0.317411602,
            0.318141162,
            0.318870693,
            0.319600254,
            0.320329815,
            0.321059346,
            0.321788907,
            0.322518468,
            0.323247999,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323265225,
            0.322535694,
            0.321806133,
            0.321076572,
            0.320347041,
            0.31961748,
            0.318887949,
            0.318158388,
            0.317428827,
            0.316699296,
            0.315969735,
            0.315240204,
            0.314510643,
            0.313781083,
            0.313051552,
            0.312321991,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.312390924,
            0.313120484,
            0.313850015,
            0.314579576,
            0.315309137,
            0.316038668,
            0.316768229,
            0.31749776,
            0.318227321,
            0.318956882,
            0.319686413,
            0.320415974,
            0.321145535,
            0.321875066,
            0.322604626,
            0.323334157,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323179066,
            0.322449505,
            0.321719974,
            0.320990413,
            0.320260882,
            0.319531322,
            0.318801761,
            0.31807223,
            0.317342669,
            0.316613108,
            0.315883577,
            0.315154016,
            0.314424485,
            0.313694924,
            0.312965363,
            0.312235832,
            0.311506271,
            0.310776711,
            0.310047179,
            0.309317619,
            0.308588088,
            0.307858527,
            0.307128966,
            0.306399435,
            0.305669874,
            0.304940343,
            0.304210782,
            0.303481221,
            0.30275169,
            0.302022129,
            0.301292568,
            0.300563037,
            0.299833477,
            0.299103945,
            0.298374385,
            0.297644824,
            0.296915293,
            0.296185732,
            0.295456171,
            0.29472664,
            0.293997079,
            0.293267548,
            0.292537987,
            0.291808426,
            0.291078895,
            0.290349334,
            0.289619774,
            0.288890243,
            0.288160682,
            0.287431151,
            0.28670159,
            0.285972059,
            0.285242498,
            0.284512967,
            0.283783406,
            0.283053875,
            0.282324314,
            0.281594783,
            0.280865222,
            0.280135691,
            0.27940613,
            0.278676599,
            0.277947038,
            0.277217507,
            0.276487947,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.275643498,
            0.27467078,
            0.273698032,
            0.272725314,
            0.271752566,
            0.270779818,
            0.2698071,
            0.268834352,
            0.267861605,
            0.266888887,
            0.265916139,
            0.264943421,
            0.263970673,
            0.262997925,
            0.262025207,
            0.261052459,
            0.260255903,
            0.259526342,
            0.258796781,
            0.25806722,
            0.257337689,
            0.256608129,
            0.255878568,
            0.255149007,
            0.254419476,
            0.253689915,
            0.252960354,
            0.252230793,
            0.251501262,
            0.250771701,
            0.25004214,
            0.249312595,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.248674959,
            0.247945398,
            0.247215852,
            0.246486306,
            0.24575676,
            0.245027199,
            0.244297653,
            0.243568107,
            0.242838562,
            0.242109001,
            0.241379455,
            0.240649909,
            0.239920363,
            0.239190817,
            0.238461256,
            0.23773171,
            0.236749396,
            0.235290304,
            0.233831197,
            0.232372105,
            0.230913013,
            0.229453906,
            0.227994815,
            0.226535708,
            0.225076616,
            0.223617509,
            0.222158417,
            0.22069931,
            0.219240218,
            0.217781112,
            0.21632202,
            0.214862913,
            0.213189349,
            0.210757524,
            0.208325684,
            0.205893859,
            0.203462034,
            0.201030195,
            0.19859837,
            0.19616653,
            0.193734705,
            0.191302866,
            0.188871041,
            0.186439201,
            0.184007376,
            0.181575537,
            0.179143712,
            0.176711872,
            0.174371958,
            0.172912851,
            0.171453759,
            0.169994652,
            0.16853556,
            0.167076454,
            0.165617362,
            0.164158255,
            0.162699163,
            0.161240056,
            0.159780964,
            0.158321857,
            0.156862766,
            0.155403674,
            0.153944567,
            0.15248546,
            0.151026368,
            0.150273845,
            0.149544299,
            0.148814738,
            0.148085192,
            0.147355646,
            0.1466261,
            0.145896539,
            0.145166993,
            0.144437447,
            0.143707901,
            0.14297834,
            0.142248794,
            0.141519248,
            0.140789703,
            0.140060142,
            0.139330596,
            0.137781501,
            0.136079222,
            0.134376943,
            0.132674649,
            0.130972371,
            0.129270092,
            0.127567813,
            0.125865519,
            0.12416324,
            0.122460961,
            0.120758675,
            0.119056396,
            0.11735411,
            0.115651831,
            0.113949552,
            0.112247266,
            0.110719234,
            0.109260134,
            0.107801035,
            0.106341936,
            0.104882836,
            0.103423737,
            0.101964638,
            0.100505538,
            0.0990464389,
            0.0975873396,
            0.0961282402,
            0.0946691409,
            0.0932100415,
            0.0917509422,
            0.0902918428,
            0.0888327435,
            0.0867991969,
            0.0843673646,
            0.0819355324,
            0.0795037001,
            0.0770718679,
            0.0746400356,
            0.0722082034,
            0.0697763711,
            0.0673445463,
            0.0649127066,
            0.0624808781,
            0.0600490458,
            0.0576172136,
            0.0551853813,
            0.0527535491,
            0.0503217168,
            0.0483417846,
            0.0468826853,
            0.0454235859,
            0.0439644866,
            0.0425053872,
            0.0410462916,
            0.0395871922,
            0.0381280929,
            0.0366689935,
            0.0352098942,
            0.0337507948,
            0.0322916955,
            0.0308325961,
            0.0293734968,
            0.0279143974,
            0.0264552981,
            0.0249961987,
            0.0235370994,
            0.022078,
            0.0206189007,
            0.0191598013,
            0.017700702,
            0.0162416026,
            0.0147825042,
            0.0133234048,
            0.0118643064,
            0.0104052071,
            0.0089461077,
            0.00748700835,
            0.006027909,
            0.00456880964,
            0.00310971029,
            0.00159891148,
            -0.000103370985,
            -0.00180565333,
            -0.00350793544,
            -0.00521021802,
            -0.0069125006,
            -0.00861478318,
            -0.0103170648,
            -0.0120193474,
            -0.01372163,
            -0.0154239126,
            -0.0171261951,
            -0.0188284777,
            -0.0205307603,
            -0.022233041,
            -0.0239353236,
            -0.0256165434,
            -0.0270756427,
            -0.0285347421,
            -0.0299938414,
            -0.0314529389,
            -0.0329120383,
            -0.0343711376,
            -0.035830237,
            -0.0372893363,
            -0.0387484357,
            -0.040207535,
            -0.0416666344,
            -0.0431257337,
            -0.0445848331,
            -0.0460439324,
            -0.0475030318,
            -0.0489621311,
            -0.0497204028,
            -0.0504499525,
            -0.0511795022,
            -0.0519090518,
            -0.0526386015,
            -0.0533681512,
            -0.0540977009,
            -0.0548272505,
            -0.0555568002,
            -0.0562863499,
            -0.0570158958,
            -0.0577454492,
            -0.0584749952,
            -0.0592045486,
            -0.0599340945,
            -0.0606636479,
            -0.0615961663,
            -0.062568903,
            -0.0635416359,
            -0.0645143688,
            -0.0654871017,
            -0.0664598346,
            -0.0674325675,
            -0.0684053004,
            -0.0693780333,
            -0.0703507662,
            -0.0713234991,
            -0.072296232,
            -0.0732689649,
            -0.0742416978,
            -0.0752144307,
            -0.0761871561,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0768956468,
            -0.0776251927,
            -0.0783547461,
            -0.0790842921,
            -0.0798138455,
            -0.0805433914,
            -0.0812729448,
            -0.0820024908,
            -0.0827320442,
            -0.0834615901,
            -0.0841911435,
            -0.0849206895,
            -0.0856502429,
            -0.0863797888,
            -0.0871093422,
            -0.0878388882,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.088292703,
            -0.0890222564,
            -0.0897518024,
            -0.0904813558,
            -0.0912109017,
            -0.0919404551,
            -0.0926700011,
            -0.0933995545,
            -0.0941291004,
            -0.0948586464,
            -0.0955881998,
            -0.0963177532,
            -0.0970472991,
            -0.0977768451,
            -0.0985063985,
            -0.0992359519,
            -0.0999654979,
            -0.100695044,
            -0.10142459,
            -0.102154143,
            -0.102883689,
            -0.103613235,
            -0.104342781,
            -0.105072334,
            -0.10580188,
            -0.106531426,
            -0.107260972,
            -0.107990526,
            -0.108720072,
            -0.109449618,
            -0.110179164,
            -0.110908717,
            -0.111638263,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111253381,
            -0.110523835,
            -0.109794289,
            -0.109064735,
            -0.10833519,
            -0.107605644,
            -0.106876098,
            -0.106146544,
            -0.105416998,
            -0.104687452,
            -0.103957906,
            -0.10322836,
            -0.102498807,
            -0.101769261,
            -0.101039715,
            -0.100310162,
            -0.100419313,
            -0.101148859,
            -0.101878405,
            -0.102607951,
            -0.103337504,
            -0.10406705,
            -0.104796596,
            -0.105526142,
            -0.106255695,
            -0.106985241,
            -0.107714787,
            -0.108444333,
            -0.109173886,
            -0.109903432,
            -0.110632978,
            -0.111362524,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111529119,
            -0.110799566,
            -0.11007002,
            -0.109340474,
            -0.108610928,
            -0.107881375,
            -0.107151829,
            -0.106422283,
            -0.105692737,
            -0.104963183,
            -0.104233637,
            -0.103504092,
            -0.102774546,
            -0.102045,
            -0.101315446,
            -0.1005859,
            -0.0998563543,
            -0.0991268009,
            -0.0983972549,
            -0.0976677015,
            -0.0969381556,
            -0.0962086022,
            -0.0954790562,
            -0.0947495028,
            -0.0940199569,
            -0.0932904035,
            -0.0925608575,
            -0.0918313041,
            -0.0911017582,
            -0.0903722048,
            -0.0896426588,
            -0.0889131054,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0875459239,
            -0.0868163705,
            -0.0860868245,
            -0.0853572711,
            -0.0846277252,
            -0.0838981718,
            -0.0831686258,
            -0.0824390724,
            -0.0817095265,
            -0.0809799731,
            -0.0802504271,
            -0.0795208737,
            -0.0787913278,
            -0.0780617744,
            -0.0773322284,
            -0.076602675,
            -0.0756739825,
            -0.0747012496,
            -0.0737285167,
            -0.0727557838,
            -0.0717830509,
            -0.070810318,
            -0.0698375851,
            -0.0688648522,
            -0.0678921193,
            -0.0669193864,
            -0.0659466535,
            -0.0649739206,
            -0.0640011877,
            -0.0630284622,
            -0.0620557256,
            -0.0610829927,
            -0.0602787659,
            -0.0595492162,
            -0.0588196665,
            -0.0580901168,
            -0.0573605672,
            -0.0566310175,
            -0.0559014678,
            -0.0551719181,
            -0.0544423684,
            -0.0537128188,
            -0.0529832691,
            -0.0522537194,
            -0.0515241697,
            -0.0507946201,
            -0.0500650704,
            -0.0493355207,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0488817059,
            -0.0481521562,
            -0.0474226102,
            -0.0466930568,
            -0.0459635109,
            -0.0452339612,
            -0.0445044115,
            -0.0437748618,
            -0.0430453122,
            -0.0423157625,
            -0.0415862128,
            -0.0408566631,
            -0.0401271135,
            -0.0393975638,
            -0.0386680141,
            -0.0379384644,
            -0.0372089148,
            -0.0364793651,
            -0.0357498154,
            -0.0350202657,
            -0.0342907161,
            -0.0335611664,
            -0.0328316167,
            -0.032102067,
            -0.0313725173,
            -0.0306429677,
            -0.029913418,
            -0.0291838683,
            -0.0284543186,
            -0.027724769,
            -0.0269952193,
            -0.0262656696,
            -0.0255361199,
            -0.0248065703,
            -0.0240770206,
            -0.0233474709,
            -0.0226179212,
            -0.0218883734,
            -0.0211588237,
            -0.0204292741,
            -0.0196997244,
            -0.0189701747,
            -0.018240625,
            -0.0175110754,
            -0.0167815257,
            -0.016051976,
            -0.0153224263,
            -0.0145928767,
            -0.013863327,
            -0.0129365502,
            -0.0119638173,
            -0.0109910853,
            -0.0100183524,
            -0.00904561952,
            -0.00807288662,
            -0.00710015371,
            -0.00612742081,
            -0.00515468791,
            -0.00418195501,
            -0.00320922211,
            -0.00223648921,
            -0.00126375724,
            -0.000291024335,
            0.000681708567,
            0.00165444147,
            0.00246058404,
            0.00319013372,
            0.0039196834,
            0.00464923307,
            0.00537878275,
            0.00610833196,
            0.00683788164,
            0.00756743131,
            0.00829698145,
            0.00902653113,
            0.00975607987,
            0.0104856296,
            0.0112151792,
            0.0119447289,
            0.0126742786,
            0.0134038283,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0134095727,
            0.012680023,
            0.0119504733,
            0.0112209236,
            0.0104913739,
            0.0097618252,
            0.00903227553,
            0.00830272585,
            0.00757317571,
            0.00684362603,
            0.00611407682,
            0.00538452715,
            0.00465497747,
            0.00392542779,
            0.00319587812,
            0.00246632844,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.001960814,
            0.00190719881,
            0.000934466021,
            -3.82666476e-5,
            -0.00101099955,
            -0.00198373245,
            -0.00295646489,
            -0.00392919779,
            -0.00490193069,
            -0.00587466359,
            -0.00684739649,
            -0.00782012939,
            -0.0087928623,
            -0.00976559427,
            -0.0107383272,
            -0.0117110601,
            -0.012683793,
            -0.0136565259,
            -0.0144033087,
            -0.0151328584,
            -0.015862409,
            -0.0165919568,
            -0.0173215065,
            -0.0180510562,
            -0.0187806059,
            -0.0195101555,
            -0.0202397052,
            -0.0209692549,
            -0.0216988046,
            -0.0224283542,
            -0.0231579039,
            -0.0238874536,
            -0.0246170033,
            -0.025346553,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0258922782,
            -0.0266218279,
            -0.0273513775,
            -0.0280809272,
            -0.0288104769,
            -0.0295400266,
            -0.0302695762,
            -0.0309991259,
            -0.0317286775,
            -0.0324582234,
            -0.0331877731,
            -0.0339173228,
            -0.0346468724,
            -0.0353764221,
            -0.0361059718,
            -0.0368355215,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0365827642,
            -0.0358532146,
            -0.0351236649,
            -0.0343941152,
            -0.0336645655,
            -0.0329350159,
            -0.0322054662,
            -0.0314759165,
            -0.0307463687,
            -0.030016819,
            -0.0292872693,
            -0.0285577197,
            -0.02782817,
            -0.0270986203,
            -0.0263690706,
            -0.025639521,
            -0.0249099713,
            -0.0241804216,
            -0.0234508719,
            -0.0227213223,
            -0.0219917744,
            -0.0212622248,
            -0.0205326751,
            -0.0198031254,
            -0.0190735757,
            -0.0183440261,
            -0.0176144764,
            -0.0168849267,
            -0.016155377,
            -0.0154258274,
            -0.0146962777,
            -0.013966728,
            -0.0125861363,
            -0.0108838547,
            -0.00918157212,
            -0.00747928955,
            -0.00577700697,
            -0.00407472439,
            -0.00237244274,
            -0.000670160167,
            0.00103212241,
            0.00273440406,
            0.00443668664,
            0.00613896921,
            0.00784125179,
            0.00954353437,
            0.0112458169,
            0.0129480995,
            0.0141218882,
            0.0148514379,
            0.0155809876,
            0.0163105372,
            0.0170400869,
            0.0177696366,
            0.0184991863,
            0.0192287359,
            0.0199582856,
            0.0206878353,
            0.021417385,
            0.0221469328,
            0.0228764825,
            0.0236060321,
            0.0243355818,
            0.0250651315,
            0.0257946812,
            0.0265242308,
            0.0272537805,
            0.0279833302,
            0.0287128799,
            0.0294424295,
            0.0301719792,
            0.0309015289,
            0.0316310786,
            0.0323606282,
            0.0330901779,
            0.0338197276,
            0.0345492773,
            0.035278827,
            0.0360083766,
            0.0367379263,
            0.0376800224,
            0.0391391218,
            0.0405982211,
            0.0420573205,
            0.0435164198,
            0.0449755192,
            0.0464346185,
            0.0478937179,
            0.0493528135,
            0.0508119129,
            0.0522710122,
            0.0537301116,
            0.0551892109,
            0.0566483103,
            0.0581074096,
            0.059566509,
            0.0611864552,
            0.0636182874,
            0.0660501197,
            0.068481952,
            0.0709137842,
            0.0733456165,
            0.0757774487,
            0.078209281,
            0.0806411058,
            0.0830729455,
            0.0855047703,
            0.08793661,
            0.0903684348,
            0.0928002745,
            0.0952320993,
            0.0976639315,
            0.100057468,
            0.101516567,
            0.102975667,
            0.104434766,
            0.105893865,
            0.107352965,
            0.108812064,
            0.110271163,
            0.111730263,
            0.113189362,
            0.114648461,
            0.116107561,
            0.11756666,
            0.119025759,
            0.120484859,
            0.121943958,
            0.123403057,
            0.124417916,
            0.125390649,
            0.126363382,
            0.127336115,
            0.128308848,
            0.12928158,
            0.130254313,
            0.131227046,
            0.132199779,
            0.133172512,
            0.134145245,
            0.135117978,
            0.136090711,
            0.137063444,
            0.138036177,
            0.139008909,
            0.139790162,
            0.140519708,
            0.141249254,
            0.1419788,
            0.142708361,
            0.143437907,
            0.144167453,
            0.144896999,
            0.14562656,
            0.146356106,
            0.147085652,
            0.147815198,
            0.148544759,
            0.149274305,
            0.15000385,
            0.150733396,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151371047,
            0.152100593,
            0.152830154,
            0.1535597,
            0.154289246,
            0.155018806,
            0.155748367,
            0.156477913,
            0.157207459,
            0.15793702,
            0.158666566,
            0.159396127,
            0.160125673,
            0.160855234,
            0.16158478,
            0.16231434,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162538379,
            0.161808819,
            0.161079273,
            0.160349712,
            0.159620166,
            0.158890605,
            0.158161059,
            0.157431498,
            0.156701952,
            0.155972391,
            0.155242845,
            0.154513285,
            0.153783739,
            0.153054178,
            0.152324632,
            0.151595071,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151003391,
            0.151732951,
            0.152462497,
            0.153192043,
            0.153921604,
            0.154651165,
            0.155380711,
            0.156110257,
            0.156839818,
            0.157569364,
            0.158298925,
            0.159028471,
            0.159758031,
            0.160487577,
            0.161217138,
            0.161946684,
            0.162676245,
            0.163405791,
            0.164135337,
            0.164864883,
            0.165594429,
            0.166323975,
            0.167053521,
            0.167783067,
            0.168512613,
            0.169242159,
            0.169971704,
            0.17070125,
            0.171430796,
            0.172160342,
            0.172889888,
            0.173619434,
            0.17434898,
            0.175078526,
            0.175808072,
            0.176537633,
            0.177267179,
            0.177996725,
            0.178726271,
            0.179455832,
            0.180185378,
            0.180914924,
            0.181644469,
            0.18237403,
            0.183103576,
            0.183833122,
            0.184562668,
            0.185292214,
            0.186021775,
            0.186910257,
            0.18788299,
            0.188855723,
            0.18982847,
            0.190801203,
            0.191773936,
            0.192746669,
            0.193719417,
            0.19469215,
            0.195664883,
            0.196637616,
            0.197610348,
            0.198583096,
            0.199555829,
            0.200528562,
            0.201501295,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201570243,
            0.200597495,
            0.199624762,
            0.198652029,
            0.197679296,
            0.196706548,
            0.195733815,
            0.194761083,
            0.19378835,
            0.192815602,
            0.191842869,
            0.190870136,
            0.189897403,
            0.188924655,
            0.187951922,
            0.18697919,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186257288,
            0.185527742,
            0.184798196,
            0.18406865,
            0.183339089,
            0.182609543,
            0.181879997,
            0.181150451,
            0.180420905,
            0.179691344,
            0.178961799,
            0.178232253,
            0.177502707,
            0.176773146,
            0.1760436,
            0.175314054,
            0.174584508,
            0.173200086,
            0.171740979,
            0.170281887,
            0.16882278,
            0.167363688,
            0.165904582,
            0.16444549,
            0.162986383,
            0.161527291,
            0.160068184,
            0.158609092,
            0.157149985,
            0.155690894,
            0.154231787,
            0.152772695,
            0.151313588,
            0.149666846,
            0.147964552,
            0.146262273,
            0.144559994,
            0.142857715,
            0.141155422,
            0.139453143,
            0.137750864,
            0.136048585,
            0.134346306,
            0.132644013,
            0.130941734,
            0.129239455,
            0.127537176,
            0.125834882,
            0.124132603,
            0.123058386,
            0.12232884,
            0.121599287,
            0.120869741,
            0.120140187,
            0.119410641,
            0.118681088,
            0.117951542,
            0.117221989,
            0.116492443,
            0.115762889,
            0.115033343,
            0.11430379,
            0.113574244,
            0.112844691,
            0.112115145,
            0.111385591,
            0.110656045,
            0.109926492,
            0.109196946,
            0.108467393,
            0.107737847,
            0.107008293,
            0.106278747,
            0.105549194,
            0.104819648,
            0.104090095,
            0.103360549,
            0.102630995,
            0.101901449,
            0.101171896,
            0.10044235,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0998047143,
            0.0990751609,
            0.098345615,
            0.0976160616,
            0.0968865156,
            0.0961569622,
            0.0954274163,
            0.0946978629,
            0.0939683169,
            0.0932387635,
            0.0925092176,
            0.0917796642,
            0.0910501182,
            0.0903205648,
            0.0895910189,
            0.0888614655,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.088884443,
            0.0896139964,
            0.0903435424,
            0.0910730958,
            0.0918026417,
            0.0925321952,
            0.0932617411,
            0.0939912945,
            0.0947208405,
            0.0954503939,
            0.0961799398,
            0.0969094932,
            0.0976390392,
            0.0983685926,
            0.0990981385,
            0.0998276919,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100005768,
            0.100735322,
            0.101464868,
            0.102194414,
            0.102923967,
            0.103653513,
            0.104383066,
            0.105112612,
            0.105842166,
            0.106571712,
            0.107301265,
            0.108030811,
            0.108760364,
            0.10948991,
            0.110219464,
            0.11094901,
            0.111678563,
            0.113265954,
            0.11496824,
            0.116670519,
            0.118372798,
            0.120075084,
            0.121777363,
            0.123479649,
            0.125181928,
            0.126884207,
            0.128586501,
            0.13028878,
            0.131991059,
            0.133693337,
            0.135395631,
            0.13709791,
            0.138800189,
            0.139767185,
            0.140496731,
            0.141226277,
            0.141955823,
            0.142685384,
            0.14341493,
            0.144144475,
            0.144874021,
            0.145603567,
            0.146333128,
            0.147062674,
            0.14779222,
            0.148521781,
            0.149251327,
            0.149980873,
            0.150710419,
            0.15143998,
            0.152169526,
            0.152899086,
            0.153628632,
            0.154358193,
            0.155087739,
            0.1558173,
            0.156546846,
            0.157276407,
            0.158005953,
            0.158735514,
            0.15946506,
            0.160194606,
            0.160924166,
            0.161653727,
            0.162383273,
            0.163112819,
            0.163842365,
            0.164571911,
            0.165301457,
            0.166031003,
            0.166760549,
            0.167490095,
            0.168219641,
            0.168949187,
            0.169678733,
            0.170408279,
            0.171137825,
            0.171867371,
            0.172596917,
            0.173326463,
            0.174056008,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823
          ],
          [
            0.213725507,
            0.215184599,
            0.216643706,
            0.218102798,
            0.219561905,
            0.221020997,
            0.222480103,
            0.223939195,
            0.225398302,
            0.226857394,
            0.228316501,
            0.229775593,
            0.231234699,
            0.232693791,
            0.234152898,
            0.23561199,
            0.237071097,
            0.238530204,
            0.239989296,
            0.241448402,
            0.242907509,
            0.244366601,
            0.245825708,
            0.247284815,
            0.248743922,
            0.250203013,
            0.251662135,
            0.253121227,
            0.254580319,
            0.256039441,
            0.257498533,
            0.258957624,
            0.260416746,
            0.261512011,
            0.262484759,
            0.263457507,
            0.264430225,
            0.265402973,
            0.266375721,
            0.267348439,
            0.268321186,
            0.269293904,
            0.270266652,
            0.2712394,
            0.272212118,
            0.273184866,
            0.274157614,
            0.275130332,
            0.276103079,
            0.275865644,
            0.274892896,
            0.273920149,
            0.272947431,
            0.271974683,
            0.271001965,
            0.270029217,
            0.269056469,
            0.268083751,
            0.267111003,
            0.266138256,
            0.265165538,
            0.26419279,
            0.263220072,
            0.262247324,
            0.261274576,
            0.261266917,
            0.262239665,
            0.263212413,
            0.264185131,
            0.265157878,
            0.266130596,
            0.267103344,
            0.268076092,
            0.26904881,
            0.270021558,
            0.270994306,
            0.271967024,
            0.272939771,
            0.273912489,
            0.274885237,
            0.275857985,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276826888,
            0.27828598,
            0.279745072,
            0.281204164,
            0.282663256,
            0.284122348,
            0.28558144,
            0.287040532,
            0.288499653,
            0.289958745,
            0.291417837,
            0.292876929,
            0.294336021,
            0.295795113,
            0.297254205,
            0.298713297,
            0.30008623,
            0.300815791,
            0.301545352,
            0.302274883,
            0.303004444,
            0.303733975,
            0.304463536,
            0.305193096,
            0.305922627,
            0.306652188,
            0.307381749,
            0.30811128,
            0.308840841,
            0.309570372,
            0.310299933,
            0.311029494,
            0.311759025,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.312396675,
            0.313126206,
            0.313855767,
            0.314585328,
            0.315314859,
            0.31604442,
            0.316773981,
            0.317503512,
            0.318233073,
            0.318962604,
            0.319692165,
            0.320421726,
            0.321151257,
            0.321880817,
            0.322610378,
            0.323339909,
            0.324249446,
            0.325222194,
            0.326194912,
            0.32716766,
            0.328140378,
            0.329113126,
            0.330085844,
            0.331058592,
            0.33203131,
            0.333004057,
            0.333976775,
            0.334949523,
            0.335922241,
            0.336894989,
            0.337867707,
            0.338840455,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339571923,
            0.340301454,
            0.341031015,
            0.341760576,
            0.342490107,
            0.343219668,
            0.343949199,
            0.34467876,
            0.34540832,
            0.346137851,
            0.346867412,
            0.347596973,
            0.348326504,
            0.349056065,
            0.349785596,
            0.350515157,
            0.350716203,
            0.349986672,
            0.349257112,
            0.348527551,
            0.34779802,
            0.347068459,
            0.346338928,
            0.345609367,
            0.344879806,
            0.344150275,
            0.343420714,
            0.342691183,
            0.341961622,
            0.341232061,
            0.34050253,
            0.339772969,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.33850345,
            0.337530702,
            0.336557984,
            0.335585237,
            0.334612519,
            0.333639771,
            0.332667053,
            0.331694305,
            0.330721587,
            0.329748839,
            0.328776121,
            0.327803373,
            0.326830655,
            0.325857908,
            0.32488519,
            0.323912442,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323179066,
            0.322449505,
            0.321719974,
            0.320990413,
            0.320260882,
            0.319531322,
            0.318801761,
            0.31807223,
            0.317342669,
            0.316613108,
            0.315883577,
            0.315154016,
            0.314424485,
            0.313694924,
            0.312965363,
            0.312235832,
            0.311506271,
            0.310776711,
            0.310047179,
            0.309317619,
            0.308588088,
            0.307858527,
            0.307128966,
            0.306399435,
            0.305669874,
            0.304940343,
            0.304210782,
            0.303481221,
            0.30275169,
            0.302022129,
            0.301292568,
            0.300563037,
            0.299833477,
            0.299103945,
            0.298374385,
            0.297644824,
            0.296915293,
            0.296185732,
            0.295456171,
            0.29472664,
            0.293997079,
            0.293267548,
            0.292537987,
            0.291808426,
            0.291078895,
            0.290349334,
            0.289619774,
            0.288890243,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.287614971,
            0.286885411,
            0.286155879,
            0.285426319,
            0.284696788,
            0.283967227,
            0.283237696,
            0.282508135,
            0.281778604,
            0.281049043,
            0.280319512,
            0.279589951,
            0.27886042,
            0.278130859,
            0.277401328,
            0.276671767,
            0.27523756,
            0.273535281,
            0.271832973,
            0.270130694,
            0.268428415,
            0.266726106,
            0.265023828,
            0.263321549,
            0.26161924,
            0.259916961,
            0.258214653,
            0.256512374,
            0.254810095,
            0.253107786,
            0.251405507,
            0.249703214,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.248674959,
            0.247945398,
            0.247215852,
            0.246486306,
            0.24575676,
            0.245027199,
            0.244297653,
            0.243568107,
            0.242838562,
            0.242109001,
            0.241379455,
            0.240649909,
            0.239920363,
            0.239190817,
            0.238461256,
            0.23773171,
            0.236749396,
            0.235290304,
            0.233831197,
            0.232372105,
            0.230913013,
            0.229453906,
            0.227994815,
            0.226535708,
            0.225076616,
            0.223617509,
            0.222158417,
            0.22069931,
            0.219240218,
            0.217781112,
            0.21632202,
            0.214862913,
            0.213350207,
            0.211647913,
            0.209945634,
            0.208243355,
            0.206541076,
            0.204838783,
            0.203136504,
            0.201434225,
            0.199731946,
            0.198029667,
            0.196327373,
            0.194625095,
            0.192922816,
            0.191220522,
            0.189518243,
            0.187815964,
            0.186136663,
            0.184677571,
            0.183218464,
            0.181759372,
            0.18030028,
            0.178841189,
            0.177382082,
            0.17592299,
            0.174463898,
            0.173004806,
            0.171545714,
            0.170086607,
            0.168627515,
            0.167168424,
            0.165709317,
            0.164250225,
            0.162791133,
            0.161332026,
            0.159872934,
            0.158413827,
            0.156954721,
            0.155495614,
            0.154036522,
            0.152577415,
            0.151118308,
            0.149659202,
            0.14820011,
            0.146741003,
            0.145281896,
            0.143822789,
            0.142363697,
            0.14090459,
            0.139445484,
            0.137781501,
            0.136079222,
            0.134376943,
            0.132674649,
            0.130972371,
            0.129270092,
            0.127567813,
            0.125865519,
            0.12416324,
            0.122460961,
            0.120758675,
            0.119056396,
            0.11735411,
            0.115651831,
            0.113949552,
            0.112247266,
            0.110719234,
            0.109260134,
            0.107801035,
            0.106341936,
            0.104882836,
            0.103423737,
            0.101964638,
            0.100505538,
            0.0990464389,
            0.0975873396,
            0.0961282402,
            0.0946691409,
            0.0932100415,
            0.0917509422,
            0.0902918428,
            0.0888327435,
            0.0867991969,
            0.0843673646,
            0.0819355324,
            0.0795037001,
            0.0770718679,
            0.0746400356,
            0.0722082034,
            0.0697763711,
            0.0673445463,
            0.0649127066,
            0.0624808781,
            0.0600490458,
            0.0576172136,
            0.0551853813,
            0.0527535491,
            0.0503217168,
            0.0483417846,
            0.0468826853,
            0.0454235859,
            0.0439644866,
            0.0425053872,
            0.0410462916,
            0.0395871922,
            0.0381280929,
            0.0366689935,
            0.0352098942,
            0.0337507948,
            0.0322916955,
            0.0308325961,
            0.0293734968,
            0.0279143974,
            0.0264552981,
            0.0249961987,
            0.0235370994,
            0.022078,
            0.0206189007,
            0.0191598013,
            0.017700702,
            0.0162416026,
            0.0147825042,
            0.0133234048,
            0.0118643064,
            0.0104052071,
            0.0089461077,
            0.00748700835,
            0.006027909,
            0.00456880964,
            0.00310971029,
            0.00159891148,
            -0.000103370985,
            -0.00180565333,
            -0.00350793544,
            -0.00521021802,
            -0.0069125006,
            -0.00861478318,
            -0.0103170648,
            -0.0120193474,
            -0.01372163,
            -0.0154239126,
            -0.0171261951,
            -0.0188284777,
            -0.0205307603,
            -0.022233041,
            -0.0239353236,
            -0.0256165434,
            -0.0270756427,
            -0.0285347421,
            -0.0299938414,
            -0.0314529389,
            -0.0329120383,
            -0.0343711376,
            -0.035830237,
            -0.0372893363,
            -0.0387484357,
            -0.040207535,
            -0.0416666344,
            -0.0431257337,
            -0.0445848331,
            -0.0460439324,
            -0.0475030318,
            -0.0489621311,
            -0.0497204028,
            -0.0504499525,
            -0.0511795022,
            -0.0519090518,
            -0.0526386015,
            -0.0533681512,
            -0.0540977009,
            -0.0548272505,
            -0.0555568002,
            -0.0562863499,
            -0.0570158958,
            -0.0577454492,
            -0.0584749952,
            -0.0592045486,
            -0.0599340945,
            -0.0606636479,
            -0.0615961663,
            -0.062568903,
            -0.0635416359,
            -0.0645143688,
            -0.0654871017,
            -0.0664598346,
            -0.0674325675,
            -0.0684053004,
            -0.0693780333,
            -0.0703507662,
            -0.0713234991,
            -0.072296232,
            -0.0732689649,
            -0.0742416978,
            -0.0752144307,
            -0.0761871561,
            -0.0769875571,
            -0.0777171105,
            -0.0784466565,
            -0.0791762099,
            -0.0799057558,
            -0.0806353092,
            -0.0813648552,
            -0.0820944011,
            -0.0828239545,
            -0.0835535005,
            -0.0842830539,
            -0.0850125998,
            -0.0857421532,
            -0.0864716992,
            -0.0872012526,
            -0.0879307985,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.088292703,
            -0.0890222564,
            -0.0897518024,
            -0.0904813558,
            -0.0912109017,
            -0.0919404551,
            -0.0926700011,
            -0.0933995545,
            -0.0941291004,
            -0.0948586464,
            -0.0955881998,
            -0.0963177532,
            -0.0970472991,
            -0.0977768451,
            -0.0985063985,
            -0.0992359519,
            -0.0999654979,
            -0.101390131,
            -0.10284923,
            -0.10430833,
            -0.105767429,
            -0.107226528,
            -0.108685628,
            -0.110144727,
            -0.111603826,
            -0.113062926,
            -0.114522025,
            -0.115981117,
            -0.117440224,
            -0.118899316,
            -0.120358422,
            -0.121817514,
            -0.123276621,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123018116,
            -0.122288562,
            -0.121559009,
            -0.120829463,
            -0.12009991,
            -0.119370356,
            -0.118640803,
            -0.117911257,
            -0.117181703,
            -0.11645215,
            -0.115722597,
            -0.114993051,
            -0.114263497,
            -0.113533944,
            -0.112804398,
            -0.112074845,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11162103,
            -0.110891484,
            -0.11016193,
            -0.109432384,
            -0.108702838,
            -0.107973292,
            -0.107243739,
            -0.106514193,
            -0.105784647,
            -0.105055101,
            -0.104325548,
            -0.103596002,
            -0.102866456,
            -0.10213691,
            -0.101407357,
            -0.100677811,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0994025394,
            -0.098672986,
            -0.0979434401,
            -0.0972138867,
            -0.0964843407,
            -0.0957547873,
            -0.0950252414,
            -0.094295688,
            -0.093566142,
            -0.0928365886,
            -0.0921070427,
            -0.0913774893,
            -0.0906479433,
            -0.0899183899,
            -0.089188844,
            -0.088459298,
            -0.0877297446,
            -0.0870001912,
            -0.0862706453,
            -0.0855410993,
            -0.0848115459,
            -0.0840819925,
            -0.0833524466,
            -0.0826229006,
            -0.0818933472,
            -0.0811638013,
            -0.0804342479,
            -0.0797047019,
            -0.0789751485,
            -0.0782456025,
            -0.0775160491,
            -0.0767865032,
            -0.0759190843,
            -0.0749463513,
            -0.0739736184,
            -0.0730008855,
            -0.0720281526,
            -0.0710554197,
            -0.0700826868,
            -0.0691099539,
            -0.068137221,
            -0.0671644881,
            -0.0661917552,
            -0.0652190223,
            -0.0642462894,
            -0.0632735565,
            -0.0623008236,
            -0.0613280907,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0610906519,
            -0.0620633848,
            -0.0630361214,
            -0.0640088543,
            -0.0649815872,
            -0.0659543201,
            -0.0669270456,
            -0.0678997785,
            -0.0688725114,
            -0.0698452443,
            -0.0708179772,
            -0.0717907101,
            -0.072763443,
            -0.0737361759,
            -0.0747089088,
            -0.0756816417,
            -0.0762867332,
            -0.0753140002,
            -0.0743412673,
            -0.0733685344,
            -0.0723958015,
            -0.0714230686,
            -0.0704503357,
            -0.0694776028,
            -0.0685048699,
            -0.067532137,
            -0.0665594041,
            -0.0655866712,
            -0.0646139383,
            -0.0636412054,
            -0.0626684725,
            -0.0616957396,
            -0.0607383251,
            -0.0600087754,
            -0.0592792258,
            -0.0585496761,
            -0.0578201264,
            -0.0570905767,
            -0.0563610271,
            -0.0556314774,
            -0.0549019277,
            -0.054172378,
            -0.0534428284,
            -0.0527132787,
            -0.051983729,
            -0.0512541793,
            -0.0505246297,
            -0.04979508,
            -0.0490655303,
            -0.0476523861,
            -0.0461932868,
            -0.0447341874,
            -0.0432750881,
            -0.0418159924,
            -0.0403568931,
            -0.0388977937,
            -0.0374386944,
            -0.035979595,
            -0.0345204957,
            -0.0330613963,
            -0.031602297,
            -0.0301431976,
            -0.0286840983,
            -0.0272249989,
            -0.0257658996,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0249903947,
            -0.024260845,
            -0.0235312954,
            -0.0228017457,
            -0.022072196,
            -0.0213426463,
            -0.0206130967,
            -0.019883547,
            -0.0191539973,
            -0.0184244476,
            -0.0176948979,
            -0.0169653483,
            -0.0162357986,
            -0.0155062499,
            -0.0147767002,
            -0.0140471505,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0140414061,
            -0.0147709558,
            -0.0155005055,
            -0.0162300542,
            -0.0169596039,
            -0.0176891536,
            -0.0184187032,
            -0.0191482529,
            -0.0198778026,
            -0.0206073523,
            -0.0213369019,
            -0.0220664516,
            -0.0227960013,
            -0.023525551,
            -0.0242551006,
            -0.0249846503,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0254901648,
            -0.0255303755,
            -0.0262599252,
            -0.0269894749,
            -0.0277190246,
            -0.0284485742,
            -0.0291781239,
            -0.0299076736,
            -0.0306372233,
            -0.0313667729,
            -0.0320963226,
            -0.0328258723,
            -0.033555422,
            -0.0342849717,
            -0.0350145213,
            -0.035744071,
            -0.0364736207,
            -0.0372031704,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0367608443,
            -0.0360312946,
            -0.0353017449,
            -0.0345721953,
            -0.0338426456,
            -0.0331130959,
            -0.0323835462,
            -0.0316539966,
            -0.0309244469,
            -0.0301948972,
            -0.0294653475,
            -0.0287357979,
            -0.0280062482,
            -0.0272766985,
            -0.0265471488,
            -0.0258175991,
            -0.0258922782,
            -0.0266218279,
            -0.0273513775,
            -0.0280809272,
            -0.0288104769,
            -0.0295400266,
            -0.0302695762,
            -0.0309991259,
            -0.0317286775,
            -0.0324582234,
            -0.0331877731,
            -0.0339173228,
            -0.0346468724,
            -0.0353764221,
            -0.0361059718,
            -0.0368355215,
            -0.0375650711,
            -0.0382946208,
            -0.0390241705,
            -0.0397537202,
            -0.0404832698,
            -0.0412128195,
            -0.0419423692,
            -0.0426719189,
            -0.0434014685,
            -0.0441310182,
            -0.0448605679,
            -0.0455901176,
            -0.0463196672,
            -0.0470492169,
            -0.0477787666,
            -0.0485083163,
            -0.049237866,
            -0.0499674156,
            -0.0506969653,
            -0.051426515,
            -0.0521560647,
            -0.0528856143,
            -0.053615164,
            -0.0543447137,
            -0.0550742634,
            -0.055803813,
            -0.0565333627,
            -0.0572629124,
            -0.0579924583,
            -0.0587220117,
            -0.0594515577,
            -0.0601811111,
            -0.0606578998,
            -0.0599283502,
            -0.0591988042,
            -0.0584692545,
            -0.0577397048,
            -0.0570101552,
            -0.0562806055,
            -0.0555510558,
            -0.0548215061,
            -0.0540919565,
            -0.0533624068,
            -0.0526328571,
            -0.0519033074,
            -0.0511737578,
            -0.0504442081,
            -0.0497146584,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0483474694,
            -0.0476179197,
            -0.0468883701,
            -0.0461588204,
            -0.0454292707,
            -0.044699721,
            -0.0439701714,
            -0.0432406217,
            -0.0425110757,
            -0.0417815223,
            -0.0410519764,
            -0.040322423,
            -0.039592877,
            -0.0388633236,
            -0.0381337777,
            -0.0374042243,
            -0.036094483,
            -0.0346353836,
            -0.0331762843,
            -0.0317171849,
            -0.0302580874,
            -0.0287989881,
            -0.0273398887,
            -0.0258807894,
            -0.0244216919,
            -0.0229625925,
            -0.0215034913,
            -0.0200443938,
            -0.0185852945,
            -0.0171261951,
            -0.0156670958,
            -0.0142079964,
            -0.0125861363,
            -0.0108838547,
            -0.00918157212,
            -0.00747928955,
            -0.00577700697,
            -0.00407472439,
            -0.00237244274,
            -0.000670160167,
            0.00103212241,
            0.00273440406,
            0.00443668664,
            0.00613896921,
            0.00784125179,
            0.00954353437,
            0.0112458169,
            0.0129480995,
            0.0141218882,
            0.0148514379,
            0.0155809876,
            0.0163105372,
            0.0170400869,
            0.0177696366,
            0.0184991863,
            0.0192287359,
            0.0199582856,
            0.0206878353,
            0.021417385,
            0.0221469328,
            0.0228764825,
            0.0236060321,
            0.0243355818,
            0.0250651315,
            0.0257946812,
            0.0265242308,
            0.0272537805,
            0.0279833302,
            0.0287128799,
            0.0294424295,
            0.0301719792,
            0.0309015289,
            0.0316310786,
            0.0323606282,
            0.0330901779,
            0.0338197276,
            0.0345492773,
            0.035278827,
            0.0360083766,
            0.0367379263,
            0.037467476,
            0.0381970257,
            0.0389265753,
            0.039656125,
            0.0403856747,
            0.0411152244,
            0.041844774,
            0.0425743237,
            0.0433038734,
            0.0440334231,
            0.0447629727,
            0.0454925224,
            0.0462220684,
            0.0469516218,
            0.0476811677,
            0.0484107211,
            0.0493011139,
            0.0510033965,
            0.0527056791,
            0.0544079617,
            0.0561102442,
            0.0578125268,
            0.0595148094,
            0.061217092,
            0.0629193708,
            0.0646216571,
            0.066323936,
            0.0680262223,
            0.0697285011,
            0.0714307874,
            0.0731330663,
            0.0748353526,
            0.0765567794,
            0.0787454322,
            0.0809340775,
            0.0831227303,
            0.0853113756,
            0.0875000209,
            0.0896886736,
            0.0918773189,
            0.0940659717,
            0.096254617,
            0.0984432697,
            0.100631915,
            0.102820568,
            0.105009213,
            0.107197866,
            0.109386511,
            0.111575156,
            0.113319568,
            0.115021855,
            0.116724133,
            0.11842642,
            0.120128699,
            0.121830985,
            0.123533264,
            0.125235543,
            0.126937836,
            0.128640115,
            0.130342394,
            0.132044673,
            0.133746952,
            0.135449246,
            0.137151524,
            0.138853803,
            0.139790162,
            0.140519708,
            0.141249254,
            0.1419788,
            0.142708361,
            0.143437907,
            0.144167453,
            0.144896999,
            0.14562656,
            0.146356106,
            0.147085652,
            0.147815198,
            0.148544759,
            0.149274305,
            0.15000385,
            0.150733396,
            0.150497884,
            0.149768323,
            0.149038777,
            0.148309231,
            0.147579685,
            0.146850124,
            0.146120578,
            0.145391032,
            0.144661486,
            0.143931925,
            0.143202379,
            0.142472833,
            0.141743287,
            0.141013727,
            0.140284181,
            0.139554635,
            0.139606327,
            0.140335888,
            0.141065434,
            0.14179498,
            0.142524526,
            0.143254086,
            0.143983632,
            0.144713178,
            0.145442724,
            0.146172285,
            0.146901831,
            0.147631377,
            0.148360923,
            0.149090484,
            0.14982003,
            0.150549576,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151641026,
            0.152370587,
            0.153100133,
            0.153829694,
            0.15455924,
            0.155288801,
            0.156018347,
            0.156747907,
            0.157477453,
            0.158207014,
            0.15893656,
            0.159666121,
            0.160395667,
            0.161125228,
            0.161854774,
            0.162584335,
            0.163882583,
            0.165341675,
            0.166800767,
            0.168259874,
            0.169718966,
            0.171178058,
            0.17263715,
            0.174096256,
            0.175555348,
            0.17701444,
            0.178473532,
            0.179932639,
            0.181391731,
            0.182850823,
            0.184309915,
            0.185769022,
            0.186910257,
            0.18788299,
            0.188855723,
            0.18982847,
            0.190801203,
            0.191773936,
            0.192746669,
            0.193719417,
            0.19469215,
            0.195664883,
            0.196637616,
            0.197610348,
            0.198583096,
            0.199555829,
            0.200528562,
            0.201501295,
            0.202345744,
            0.20307529,
            0.203804836,
            0.204534382,
            0.205263928,
            0.205993474,
            0.206723019,
            0.207452565,
            0.208182111,
            0.208911657,
            0.209641203,
            0.210370749,
            0.211100295,
            0.211829841,
            0.212559387,
            0.213288933,
            0.213432536,
            0.21270299,
            0.211973444,
            0.211243898,
            0.210514352,
            0.209784806,
            0.20905526,
            0.208325714,
            0.207596168,
            0.206866622,
            0.206137076,
            0.20540753,
            0.204677984,
            0.203948438,
            0.203218892,
            0.202489346,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201937884,
            0.200965151,
            0.199992403,
            0.19901967,
            0.198046938,
            0.197074205,
            0.196101472,
            0.195128724,
            0.194155991,
            0.193183258,
            0.192210525,
            0.191237777,
            0.190265045,
            0.189292312,
            0.188319579,
            0.187346831,
            0.186374098,
            0.184964791,
            0.183505699,
            0.182046592,
            0.1805875,
            0.179128408,
            0.177669317,
            0.17621021,
            0.174751118,
            0.173292026,
            0.171832934,
            0.170373827,
            0.168914735,
            0.167455643,
            0.165996552,
            0.16453746,
            0.163078353,
            0.160868645,
            0.158436805,
            0.156004965,
            0.153573141,
            0.151141301,
            0.148709461,
            0.146277636,
            0.143845797,
            0.141413957,
            0.138982117,
            0.136550292,
            0.134118453,
            0.131686613,
            0.129254788,
            0.126822948,
            0.124391109,
            0.123058386,
            0.12232884,
            0.121599287,
            0.120869741,
            0.120140187,
            0.119410641,
            0.118681088,
            0.117951542,
            0.117221989,
            0.116492443,
            0.115762889,
            0.115033343,
            0.11430379,
            0.113574244,
            0.112844691,
            0.112115145,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.11156942,
            0.110839866,
            0.11011032,
            0.109380767,
            0.108651221,
            0.107921667,
            0.107192121,
            0.106462568,
            0.105733022,
            0.105003469,
            0.104273923,
            0.103544369,
            0.102814823,
            0.10208527,
            0.101355724,
            0.100626171,
            0.0998966247,
            0.0991670713,
            0.0984375253,
            0.0977079719,
            0.096978426,
            0.0962488726,
            0.0955193266,
            0.0947897732,
            0.0940602273,
            0.0933306739,
            0.0926011279,
            0.0918715745,
            0.0911420286,
            0.0904124826,
            0.0896829292,
            0.0889533758,
            0.0882468075,
            0.0889763609,
            0.0897059068,
            0.0904354602,
            0.0911650062,
            0.0918945521,
            0.0926241055,
            0.0933536515,
            0.0940832049,
            0.0948127508,
            0.0955423042,
            0.0962718502,
            0.0970014036,
            0.0977309495,
            0.0984605029,
            0.0991900489,
            0.0999196023,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100281507,
            0.101011053,
            0.101740606,
            0.102470152,
            0.103199705,
            0.103929251,
            0.104658797,
            0.105388351,
            0.106117904,
            0.10684745,
            0.107576996,
            0.108306549,
            0.109036095,
            0.109765649,
            0.110495195,
            0.111224748,
            0.111575164,
            0.11084561,
            0.110116065,
            0.109386511,
            0.108656965,
            0.107927412,
            0.107197866,
            0.106468312,
            0.105738766,
            0.105009213,
            0.104279667,
            0.103550114,
            0.102820568,
            0.102091014,
            0.101361468,
            0.100631915,
            0.100097679,
            0.100827232,
            0.101556778,
            0.102286331,
            0.103015877,
            0.103745431,
            0.104474977,
            0.10520453,
            0.105934076,
            0.106663629,
            0.107393175,
            0.108122729,
            0.108852275,
            0.109581828,
            0.110311374,
            0.11104092,
            0.111770473,
            0.112500027,
            0.113229573,
            0.113959119,
            0.114688672,
            0.115418218,
            0.116147771,
            0.116877317,
            0.117606871,
            0.118336417,
            0.11906597,
            0.119795516,
            0.12052507,
            0.121254615,
            0.121984169,
            0.122713715,
            0.123443268,
            0.125030667,
            0.126732945,
            0.128435224,
            0.130137503,
            0.131839782,
            0.133542076,
            0.135244355,
            0.136946633,
            0.138648912,
            0.140351206,
            0.142053485,
            0.143755764,
            0.145458043,
            0.147160336,
            0.148862615,
            0.150564894,
            0.15153189,
            0.152261436,
            0.152990997,
            0.153720543,
            0.154450104,
            0.15517965,
            0.15590921,
            0.156638756,
            0.157368317,
            0.158097863,
            0.158827424,
            0.15955697,
            0.160286531,
            0.161016077,
            0.161745638,
            0.162475184,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163480476,
            0.164939567,
            0.166398659,
            0.167857751,
            0.169316858,
            0.17077595,
            0.172235042,
            0.173694134,
            0.175153241,
            0.176612332,
            0.178071424,
            0.179530516,
            0.180989623,
            0.182448715,
            0.183907807,
            0.185366899,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529
          ],
          [
            0.225490212,
            0.226219758,
            0.226949304,
            0.227678865,
            0.228408411,
            0.229137957,
            0.229867503,
            0.230597064,
            0.23132661,
            0.232056156,
            0.232785702,
            0.233515263,
            0.234244809,
            0.234974355,
            0.2357039,
            0.236433461,
            0.237163007,
            0.237892553,
            0.238622099,
            0.23935166,
            0.240081206,
            0.240810752,
            0.241540298,
            0.242269859,
            0.242999405,
            0.243728951,
            0.244458497,
            0.245188057,
            0.245917603,
            0.246647149,
            0.247376695,
            0.248106256,
            0.248835802,
            0.249565348,
            0.250294894,
            0.251024455,
            0.251754016,
            0.252483577,
            0.253213108,
            0.253942668,
            0.254672229,
            0.25540179,
            0.256131321,
            0.256860882,
            0.257590443,
            0.258320004,
            0.259049535,
            0.259779096,
            0.260508657,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.261266917,
            0.262239665,
            0.263212413,
            0.264185131,
            0.265157878,
            0.266130596,
            0.267103344,
            0.268076092,
            0.26904881,
            0.270021558,
            0.270994306,
            0.271967024,
            0.272939771,
            0.273912489,
            0.274885237,
            0.275857985,
            0.2767407,
            0.277470261,
            0.278199792,
            0.278929353,
            0.279658884,
            0.280388445,
            0.281117976,
            0.281847537,
            0.282577068,
            0.283306628,
            0.28403616,
            0.28476572,
            0.285495251,
            0.286224812,
            0.286954343,
            0.287683904,
            0.288413435,
            0.289142996,
            0.289872557,
            0.290602088,
            0.291331649,
            0.29206118,
            0.292790741,
            0.293520302,
            0.294249833,
            0.294979393,
            0.295708954,
            0.296438485,
            0.297168046,
            0.297897577,
            0.298627138,
            0.299356699,
            0.300172418,
            0.30163151,
            0.303090602,
            0.304549694,
            0.306008816,
            0.307467908,
            0.308927,
            0.310386091,
            0.311845213,
            0.313304305,
            0.314763397,
            0.316222489,
            0.317681611,
            0.319140702,
            0.320599794,
            0.322058886,
            0.323517978,
            0.324494541,
            0.325467288,
            0.326440006,
            0.327412754,
            0.328385472,
            0.32935822,
            0.330330938,
            0.331303686,
            0.332276404,
            0.333249152,
            0.33422187,
            0.335194618,
            0.336167336,
            0.337140083,
            0.338112801,
            0.339085549,
            0.339847654,
            0.340577185,
            0.341306746,
            0.342036307,
            0.342765838,
            0.343495399,
            0.34422496,
            0.344954491,
            0.345684052,
            0.346413583,
            0.347143143,
            0.347872704,
            0.348602235,
            0.349331796,
            0.350061357,
            0.350790888,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.351428539,
            0.35215807,
            0.35288763,
            0.353617191,
            0.354346722,
            0.355076283,
            0.355805814,
            0.356535375,
            0.357264936,
            0.357994467,
            0.358724028,
            0.359453589,
            0.36018312,
            0.360912681,
            0.361642212,
            0.362371773,
            0.363101333,
            0.363830864,
            0.364560425,
            0.365289986,
            0.366019517,
            0.366749078,
            0.367478609,
            0.36820817,
            0.368937731,
            0.369667262,
            0.370396823,
            0.371126384,
            0.371855915,
            0.372585475,
            0.373315006,
            0.374044567,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374337524,
            0.373607993,
            0.372878432,
            0.372148901,
            0.37141934,
            0.37068978,
            0.369960248,
            0.369230688,
            0.368501127,
            0.367771596,
            0.367042035,
            0.366312504,
            0.365582943,
            0.364853382,
            0.364123851,
            0.36339429,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362119019,
            0.361389458,
            0.360659927,
            0.359930366,
            0.359200805,
            0.358471274,
            0.357741714,
            0.357012182,
            0.356282622,
            0.355553061,
            0.35482353,
            0.354093969,
            0.353364408,
            0.352634877,
            0.351905316,
            0.351175785,
            0.350446224,
            0.349716663,
            0.348987132,
            0.348257571,
            0.347528011,
            0.34679848,
            0.346068919,
            0.345339388,
            0.344609827,
            0.343880266,
            0.343150735,
            0.342421174,
            0.341691613,
            0.340962082,
            0.340232521,
            0.33950299,
            0.338625997,
            0.33765325,
            0.336680532,
            0.335707784,
            0.334735066,
            0.333762318,
            0.3327896,
            0.331816852,
            0.330844134,
            0.329871386,
            0.328898668,
            0.32792592,
            0.326953202,
            0.325980455,
            0.325007737,
            0.324034989,
            0.323179066,
            0.322449505,
            0.321719974,
            0.320990413,
            0.320260882,
            0.319531322,
            0.318801761,
            0.31807223,
            0.317342669,
            0.316613108,
            0.315883577,
            0.315154016,
            0.314424485,
            0.313694924,
            0.312965363,
            0.312235832,
            0.311506271,
            0.310776711,
            0.310047179,
            0.309317619,
            0.308588088,
            0.307858527,
            0.307128966,
            0.306399435,
            0.305669874,
            0.304940343,
            0.304210782,
            0.303481221,
            0.30275169,
            0.302022129,
            0.301292568,
            0.300563037,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.299287766,
            0.298558205,
            0.297828645,
            0.297099113,
            0.296369553,
            0.295640022,
            0.294910461,
            0.2941809,
            0.293451369,
            0.292721808,
            0.291992247,
            0.291262716,
            0.290533155,
            0.289803624,
            0.289074063,
            0.288344502,
            0.287614971,
            0.286885411,
            0.286155879,
            0.285426319,
            0.284696788,
            0.283967227,
            0.283237696,
            0.282508135,
            0.281778604,
            0.281049043,
            0.280319512,
            0.279589951,
            0.27886042,
            0.278130859,
            0.277401328,
            0.276671767,
            0.27523756,
            0.273535281,
            0.271832973,
            0.270130694,
            0.268428415,
            0.266726106,
            0.265023828,
            0.263321549,
            0.26161924,
            0.259916961,
            0.258214653,
            0.256512374,
            0.254810095,
            0.253107786,
            0.251405507,
            0.249703214,
            0.248583049,
            0.247853488,
            0.247123942,
            0.246394396,
            0.24566485,
            0.244935289,
            0.244205743,
            0.243476197,
            0.242746651,
            0.24201709,
            0.241287544,
            0.240557998,
            0.239828452,
            0.239098892,
            0.238369346,
            0.2376398,
            0.236910254,
            0.236180693,
            0.235451147,
            0.234721601,
            0.233992055,
            0.233262494,
            0.232532948,
            0.231803402,
            0.231073856,
            0.230344296,
            0.22961475,
            0.228885204,
            0.228155658,
            0.227426112,
            0.226696551,
            0.225967005,
            0.225237459,
            0.224507898,
            0.223778352,
            0.223048806,
            0.22231926,
            0.221589714,
            0.220860153,
            0.220130607,
            0.219401062,
            0.218671516,
            0.217941955,
            0.217212409,
            0.216482863,
            0.215753317,
            0.215023756,
            0.21429421,
            0.213350207,
            0.211647913,
            0.209945634,
            0.208243355,
            0.206541076,
            0.204838783,
            0.203136504,
            0.201434225,
            0.199731946,
            0.198029667,
            0.196327373,
            0.194625095,
            0.192922816,
            0.191220522,
            0.189518243,
            0.187815964,
            0.186136663,
            0.184677571,
            0.183218464,
            0.181759372,
            0.18030028,
            0.178841189,
            0.177382082,
            0.17592299,
            0.174463898,
            0.173004806,
            0.171545714,
            0.170086607,
            0.168627515,
            0.167168424,
            0.165709317,
            0.164250225,
            0.162791133,
            0.16038993,
            0.157958105,
            0.155526266,
            0.153094426,
            0.150662586,
            0.148230761,
            0.145798922,
            0.143367082,
            0.140935242,
            0.138503417,
            0.136071578,
            0.133639738,
            0.131207913,
            0.128776073,
            0.126344234,
            0.123912401,
            0.122300118,
            0.120841011,
            0.11938192,
            0.11792282,
            0.116463721,
            0.115004621,
            0.113545522,
            0.112086423,
            0.110627323,
            0.109168224,
            0.107709125,
            0.106250025,
            0.104790926,
            0.103331827,
            0.101872727,
            0.100413628,
            0.0989545286,
            0.0974954292,
            0.0960363299,
            0.0945772305,
            0.0931181312,
            0.0916590318,
            0.0901999325,
            0.0887408331,
            0.0872817338,
            0.0858226344,
            0.084363535,
            0.0829044357,
            0.0814453363,
            0.079986237,
            0.0785271376,
            0.0770680383,
            0.075465329,
            0.0737630427,
            0.0720607638,
            0.070358485,
            0.0686561987,
            0.0669539198,
            0.0652516335,
            0.0635493547,
            0.0618470684,
            0.0601447895,
            0.0584425032,
            0.0567402244,
            0.0550379381,
            0.0533356592,
            0.0516333729,
            0.0499310941,
            0.0483417846,
            0.0468826853,
            0.0454235859,
            0.0439644866,
            0.0425053872,
            0.0410462916,
            0.0395871922,
            0.0381280929,
            0.0366689935,
            0.0352098942,
            0.0337507948,
            0.0322916955,
            0.0308325961,
            0.0293734968,
            0.0279143974,
            0.0264552981,
            0.0249961987,
            0.0235370994,
            0.022078,
            0.0206189007,
            0.0191598013,
            0.017700702,
            0.0162416026,
            0.0147825042,
            0.0133234048,
            0.0118643064,
            0.0104052071,
            0.0089461077,
            0.00748700835,
            0.006027909,
            0.00456880964,
            0.00310971029,
            0.00159891148,
            -0.000103370985,
            -0.00180565333,
            -0.00350793544,
            -0.00521021802,
            -0.0069125006,
            -0.00861478318,
            -0.0103170648,
            -0.0120193474,
            -0.01372163,
            -0.0154239126,
            -0.0171261951,
            -0.0188284777,
            -0.0205307603,
            -0.022233041,
            -0.0239353236,
            -0.025553355,
            -0.0262829028,
            -0.0270124525,
            -0.0277420022,
            -0.0284715518,
            -0.0292011015,
            -0.0299306512,
            -0.0306602009,
            -0.0313897505,
            -0.0321193002,
            -0.0328488499,
            -0.0335783996,
            -0.0343079492,
            -0.0350374989,
            -0.0357670486,
            -0.0364965983,
            -0.0372261479,
            -0.0379556976,
            -0.0386852473,
            -0.039414797,
            -0.0401443467,
            -0.0408738963,
            -0.041603446,
            -0.0423329957,
            -0.0430625454,
            -0.043792095,
            -0.0445216447,
            -0.0452511907,
            -0.0459807441,
            -0.04671029,
            -0.0474398434,
            -0.0481693894,
            -0.0488989428,
            -0.0504403785,
            -0.0521426611,
            -0.0538449436,
            -0.0555472262,
            -0.0572495088,
            -0.0589517877,
            -0.060654074,
            -0.0623563528,
            -0.0640586391,
            -0.065760918,
            -0.0674632043,
            -0.0691654831,
            -0.070867762,
            -0.0725700483,
            -0.0742723346,
            -0.0759746134,
            -0.0769875571,
            -0.0777171105,
            -0.0784466565,
            -0.0791762099,
            -0.0799057558,
            -0.0806353092,
            -0.0813648552,
            -0.0820944011,
            -0.0828239545,
            -0.0835535005,
            -0.0842830539,
            -0.0850125998,
            -0.0857421532,
            -0.0864716992,
            -0.0872012526,
            -0.0879307985,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0883846134,
            -0.0891141668,
            -0.0898437127,
            -0.0905732661,
            -0.0913028121,
            -0.0920323655,
            -0.0927619115,
            -0.0934914649,
            -0.0942210108,
            -0.0949505642,
            -0.0956801102,
            -0.0964096636,
            -0.0971392095,
            -0.0978687629,
            -0.0985983089,
            -0.0993278623,
            -0.100057408,
            -0.100786954,
            -0.101516508,
            -0.102246054,
            -0.102975599,
            -0.103705145,
            -0.104434699,
            -0.105164245,
            -0.105893791,
            -0.106623337,
            -0.107352883,
            -0.108082436,
            -0.108811982,
            -0.109541528,
            -0.110271081,
            -0.111000627,
            -0.111730173,
            -0.112459727,
            -0.113189273,
            -0.113918826,
            -0.114648379,
            -0.115377933,
            -0.116107479,
            -0.116837032,
            -0.117566586,
            -0.118296139,
            -0.119025685,
            -0.119755238,
            -0.120484792,
            -0.121214345,
            -0.121943891,
            -0.122673444,
            -0.123402998,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123385765,
            -0.122656211,
            -0.121926658,
            -0.121197104,
            -0.120467559,
            -0.119738005,
            -0.119008452,
            -0.118278906,
            -0.117549352,
            -0.116819799,
            -0.116090246,
            -0.115360692,
            -0.114631146,
            -0.113901593,
            -0.113172039,
            -0.112442493,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111259125,
            -0.110529579,
            -0.109800033,
            -0.10907048,
            -0.108340934,
            -0.107611388,
            -0.106881842,
            -0.106152289,
            -0.105422743,
            -0.104693197,
            -0.103963651,
            -0.103234097,
            -0.102504551,
            -0.101775005,
            -0.10104546,
            -0.100315914,
            -0.0995863602,
            -0.0988568142,
            -0.0981272608,
            -0.0973977149,
            -0.0966681615,
            -0.0959386155,
            -0.0952090621,
            -0.0944795161,
            -0.0937499627,
            -0.0930204168,
            -0.0922908634,
            -0.0915613174,
            -0.090831764,
            -0.0901022181,
            -0.0893726647,
            -0.0886431187,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0881893039,
            -0.0874597505,
            -0.0867302045,
            -0.0860006511,
            -0.0852711052,
            -0.0845415518,
            -0.0838120058,
            -0.0830824524,
            -0.0823529065,
            -0.0816233605,
            -0.0808938071,
            -0.0801642537,
            -0.0794347078,
            -0.0787051618,
            -0.0779756084,
            -0.0772460625,
            -0.0765165091,
            -0.0748755038,
            -0.0731732175,
            -0.0714709386,
            -0.0697686523,
            -0.0680663735,
            -0.0663640872,
            -0.0646618083,
            -0.062959522,
            -0.0612572432,
            -0.0595549606,
            -0.057852678,
            -0.0561503954,
            -0.0544481128,
            -0.0527458303,
            -0.0510435477,
            -0.0493412688,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490597859,
            -0.0497893356,
            -0.0505188853,
            -0.0512484349,
            -0.0519779846,
            -0.0527075343,
            -0.053437084,
            -0.0541666336,
            -0.0548961833,
            -0.055625733,
            -0.0563552827,
            -0.0570848323,
            -0.057814382,
            -0.0585439317,
            -0.0592734814,
            -0.060003031,
            -0.0607325807,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0601983443,
            -0.0594687946,
            -0.0587392449,
            -0.0580096953,
            -0.0572801456,
            -0.0565505959,
            -0.0558210462,
            -0.0550914966,
            -0.0543619469,
            -0.0536323972,
            -0.0529028475,
            -0.0521732979,
            -0.0514437482,
            -0.0507141985,
            -0.0499846488,
            -0.0492550991,
            -0.0485255495,
            -0.0477959998,
            -0.0470664501,
            -0.0463369004,
            -0.0456073508,
            -0.0448778011,
            -0.0441482514,
            -0.0434187017,
            -0.0426891521,
            -0.0419596024,
            -0.0412300527,
            -0.040500503,
            -0.0397709534,
            -0.0390414037,
            -0.038311854,
            -0.0375823043,
            -0.0376569852,
            -0.0383865349,
            -0.0391160846,
            -0.0398456343,
            -0.0405751839,
            -0.0413047299,
            -0.0420342833,
            -0.0427638292,
            -0.0434933826,
            -0.0442229286,
            -0.0449524783,
            -0.0456820279,
            -0.0464115776,
            -0.0471411273,
            -0.047870677,
            -0.0486002266,
            -0.0497433804,
            -0.051445663,
            -0.0531479456,
            -0.0548502281,
            -0.0565525107,
            -0.0582547933,
            -0.0599570721,
            -0.0616593584,
            -0.0633616373,
            -0.0650639236,
            -0.0667662024,
            -0.0684684888,
            -0.0701707676,
            -0.0718730539,
            -0.0735753328,
            -0.0752776116,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0763020515,
            -0.0753293186,
            -0.0743565857,
            -0.0733838528,
            -0.0724111199,
            -0.071438387,
            -0.0704656541,
            -0.0694929212,
            -0.0685201883,
            -0.0675474554,
            -0.0665747225,
            -0.0656019896,
            -0.0646292567,
            -0.0636565238,
            -0.0626837909,
            -0.061711058,
            -0.0607498139,
            -0.0600202642,
            -0.0592907146,
            -0.0585611649,
            -0.0578316152,
            -0.0571020655,
            -0.0563725159,
            -0.0556429662,
            -0.0549134165,
            -0.0541838668,
            -0.0534543172,
            -0.0527247675,
            -0.0519952178,
            -0.0512656681,
            -0.0505361184,
            -0.0498065688,
            -0.0490770191,
            -0.0483474694,
            -0.0476179197,
            -0.0468883701,
            -0.0461588204,
            -0.0454292707,
            -0.044699721,
            -0.0439701714,
            -0.0432406217,
            -0.0425110757,
            -0.0417815223,
            -0.0410519764,
            -0.040322423,
            -0.039592877,
            -0.0388633236,
            -0.0381337777,
            -0.0374042243,
            -0.036094483,
            -0.0346353836,
            -0.0331762843,
            -0.0317171849,
            -0.0302580874,
            -0.0287989881,
            -0.0273398887,
            -0.0258807894,
            -0.0244216919,
            -0.0229625925,
            -0.0215034913,
            -0.0200443938,
            -0.0185852945,
            -0.0171261951,
            -0.0156670958,
            -0.0142079964,
            -0.0125861363,
            -0.0108838547,
            -0.00918157212,
            -0.00747928955,
            -0.00577700697,
            -0.00407472439,
            -0.00237244274,
            -0.000670160167,
            0.00103212241,
            0.00273440406,
            0.00443668664,
            0.00613896921,
            0.00784125179,
            0.00954353437,
            0.0112458169,
            0.0129480995,
            0.0141218882,
            0.0148514379,
            0.0155809876,
            0.0163105372,
            0.0170400869,
            0.0177696366,
            0.0184991863,
            0.0192287359,
            0.0199582856,
            0.0206878353,
            0.021417385,
            0.0221469328,
            0.0228764825,
            0.0236060321,
            0.0243355818,
            0.0250651315,
            0.0257946812,
            0.0265242308,
            0.0272537805,
            0.0279833302,
            0.0287128799,
            0.0294424295,
            0.0301719792,
            0.0309015289,
            0.0316310786,
            0.0323606282,
            0.0330901779,
            0.0338197276,
            0.0345492773,
            0.035278827,
            0.0360083766,
            0.0367379263,
            0.037467476,
            0.0381970257,
            0.0389265753,
            0.039656125,
            0.0403856747,
            0.0411152244,
            0.041844774,
            0.0425743237,
            0.0433038734,
            0.0440334231,
            0.0447629727,
            0.0454925224,
            0.0462220684,
            0.0469516218,
            0.0476811677,
            0.0484107211,
            0.0491402671,
            0.0498698168,
            0.0505993664,
            0.0513289161,
            0.0520584658,
            0.0527880155,
            0.0535175651,
            0.0542471148,
            0.0549766645,
            0.0557062142,
            0.0564357638,
            0.0571653135,
            0.0578948632,
            0.0586244129,
            0.0593539625,
            0.0600835122,
            0.0608800799,
            0.0633119121,
            0.0657437444,
            0.0681755766,
            0.0706074089,
            0.0730392411,
            0.0754710734,
            0.0779029056,
            0.0803347379,
            0.0827665702,
            0.0851984024,
            0.0876302347,
            0.0900620669,
            0.0924938917,
            0.0949257314,
            0.0973575562,
            0.0997893959,
            0.101332746,
            0.102791846,
            0.104250945,
            0.105710045,
            0.107169144,
            0.108628243,
            0.110087343,
            0.111546442,
            0.113005534,
            0.114464641,
            0.115923733,
            0.117382839,
            0.118841931,
            0.120301038,
            0.12176013,
            0.123219229,
            0.124295369,
            0.125268102,
            0.126240835,
            0.127213567,
            0.1281863,
            0.129159033,
            0.130131766,
            0.131104499,
            0.132077232,
            0.133049965,
            0.134022698,
            0.134995431,
            0.135968164,
            0.136940897,
            0.137913629,
            0.138886362,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139606327,
            0.140335888,
            0.141065434,
            0.14179498,
            0.142524526,
            0.143254086,
            0.143983632,
            0.144713178,
            0.145442724,
            0.146172285,
            0.146901831,
            0.147631377,
            0.148360923,
            0.149090484,
            0.14982003,
            0.150549576,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151641026,
            0.152370587,
            0.153100133,
            0.153829694,
            0.15455924,
            0.155288801,
            0.156018347,
            0.156747907,
            0.157477453,
            0.158207014,
            0.15893656,
            0.159666121,
            0.160395667,
            0.161125228,
            0.161854774,
            0.162584335,
            0.163313881,
            0.164043427,
            0.164772972,
            0.165502518,
            0.166232064,
            0.16696161,
            0.167691156,
            0.168420702,
            0.169150248,
            0.169879794,
            0.17060934,
            0.171338886,
            0.172068432,
            0.172797978,
            0.173527524,
            0.17425707,
            0.175622344,
            0.177324623,
            0.179026917,
            0.180729195,
            0.182431489,
            0.184133768,
            0.185836062,
            0.187538341,
            0.189240634,
            0.190942913,
            0.192645207,
            0.194347486,
            0.19604978,
            0.197752059,
            0.199454352,
            0.201156631,
            0.202345744,
            0.20307529,
            0.203804836,
            0.204534382,
            0.205263928,
            0.205993474,
            0.206723019,
            0.207452565,
            0.208182111,
            0.208911657,
            0.209641203,
            0.210370749,
            0.211100295,
            0.211829841,
            0.212559387,
            0.213288933,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213616356,
            0.21288681,
            0.212157264,
            0.211427718,
            0.210698172,
            0.209968626,
            0.209239081,
            0.208509535,
            0.207779989,
            0.207050443,
            0.206320897,
            0.205591351,
            0.20486182,
            0.204132259,
            0.203402728,
            0.202673167,
            0.201937884,
            0.200965151,
            0.199992403,
            0.19901967,
            0.198046938,
            0.197074205,
            0.196101472,
            0.195128724,
            0.194155991,
            0.193183258,
            0.192210525,
            0.191237777,
            0.190265045,
            0.189292312,
            0.188319579,
            0.187346831,
            0.186374098,
            0.184964791,
            0.183505699,
            0.182046592,
            0.1805875,
            0.179128408,
            0.177669317,
            0.17621021,
            0.174751118,
            0.173292026,
            0.171832934,
            0.170373827,
            0.168914735,
            0.167455643,
            0.165996552,
            0.16453746,
            0.163078353,
            0.161619261,
            0.160160154,
            0.158701047,
            0.15724194,
            0.155782849,
            0.154323742,
            0.152864635,
            0.151405543,
            0.149946436,
            0.148487329,
            0.147028223,
            0.145569116,
            0.144110024,
            0.142650917,
            0.14119181,
            0.139732718,
            0.138587639,
            0.137614906,
            0.136642173,
            0.13566944,
            0.134696707,
            0.133723974,
            0.132751241,
            0.131778508,
            0.130805776,
            0.129833043,
            0.12886031,
            0.127887577,
            0.126914844,
            0.125942111,
            0.124969386,
            0.123996653,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123334125,
            0.122604571,
            0.121875025,
            0.121145472,
            0.120415926,
            0.119686373,
            0.118956827,
            0.118227273,
            0.117497727,
            0.116768174,
            0.116038628,
            0.115309075,
            0.114579529,
            0.113849975,
            0.113120429,
            0.112390876,
            0.11166133,
            0.110931776,
            0.110202231,
            0.109472677,
            0.108743131,
            0.108013578,
            0.107284032,
            0.106554478,
            0.105824932,
            0.105095379,
            0.104365833,
            0.10363628,
            0.102906734,
            0.102177188,
            0.101447634,
            0.100718081,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100281507,
            0.101011053,
            0.101740606,
            0.102470152,
            0.103199705,
            0.103929251,
            0.104658797,
            0.105388351,
            0.106117904,
            0.10684745,
            0.107576996,
            0.108306549,
            0.109036095,
            0.109765649,
            0.110495195,
            0.111224748,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111862384,
            0.112591937,
            0.113321483,
            0.114051037,
            0.114780582,
            0.115510136,
            0.116239682,
            0.116969235,
            0.117698781,
            0.118428335,
            0.119157881,
            0.119887434,
            0.12061698,
            0.121346533,
            0.122076079,
            0.122805625,
            0.123537093,
            0.124509826,
            0.125482559,
            0.126455292,
            0.127428025,
            0.128400758,
            0.129373491,
            0.130346224,
            0.131318957,
            0.13229169,
            0.133264422,
            0.134237155,
            0.135209888,
            0.136182621,
            0.137155354,
            0.138128087,
            0.13910082,
            0.140502483,
            0.141961575,
            0.143420681,
            0.144879788,
            0.14633888,
            0.147797987,
            0.149257094,
            0.1507162,
            0.152175292,
            0.153634399,
            0.155093506,
            0.156552613,
            0.158011705,
            0.159470811,
            0.160929918,
            0.162389025,
            0.16329664,
            0.164026186,
            0.164755732,
            0.165485278,
            0.166214824,
            0.16694437,
            0.167673916,
            0.168403462,
            0.169133008,
            0.169862553,
            0.170592099,
            0.171321645,
            0.172051191,
            0.172780737,
            0.173510283,
            0.174239829,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174877465,
            0.175607026,
            0.176336572,
            0.177066118,
            0.177795663,
            0.178525224,
            0.17925477,
            0.179984316,
            0.180713862,
            0.181443423,
            0.182172969,
            0.182902515,
            0.183632061,
            0.184361622,
            0.185091168,
            0.185820714,
            0.18664217,
            0.187614918,
            0.188587651,
            0.189560384,
            0.190533116,
            0.191505864,
            0.192478597,
            0.19345133,
            0.194424063,
            0.195396811,
            0.196369544,
            0.197342277,
            0.198315009,
            0.199287757,
            0.20026049,
            0.201233223,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.202052772,
            0.202782318,
            0.203511864,
            0.20424141,
            0.204970956,
            0.205700502,
            0.206430048,
            0.207159594,
            0.20788914,
            0.208618686,
            0.209348232,
            0.210077778,
            0.210807323,
            0.211536869,
            0.212266415,
            0.212995961
          ],
          [
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249657258,
            0.250386804,
            0.251116365,
            0.251845926,
            0.252575487,
            0.253305018,
            0.254034579,
            0.25476414,
            0.255493701,
            0.256223232,
            0.256952792,
            0.257682353,
            0.258411914,
            0.259141445,
            0.259871006,
            0.260600567,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.261266917,
            0.262239665,
            0.263212413,
            0.264185131,
            0.265157878,
            0.266130596,
            0.267103344,
            0.268076092,
            0.26904881,
            0.270021558,
            0.270994306,
            0.271967024,
            0.272939771,
            0.273912489,
            0.274885237,
            0.275857985,
            0.2767407,
            0.277470261,
            0.278199792,
            0.278929353,
            0.279658884,
            0.280388445,
            0.281117976,
            0.281847537,
            0.282577068,
            0.283306628,
            0.28403616,
            0.28476572,
            0.285495251,
            0.286224812,
            0.286954343,
            0.287683904,
            0.288413435,
            0.289142996,
            0.289872557,
            0.290602088,
            0.291331649,
            0.29206118,
            0.292790741,
            0.293520302,
            0.294249833,
            0.294979393,
            0.295708954,
            0.296438485,
            0.297168046,
            0.297897577,
            0.298627138,
            0.299356699,
            0.300172418,
            0.30163151,
            0.303090602,
            0.304549694,
            0.306008816,
            0.307467908,
            0.308927,
            0.310386091,
            0.311845213,
            0.313304305,
            0.314763397,
            0.316222489,
            0.317681611,
            0.319140702,
            0.320599794,
            0.322058886,
            0.323517978,
            0.32521835,
            0.326920629,
            0.328622937,
            0.330325216,
            0.332027495,
            0.333729774,
            0.335432053,
            0.337134331,
            0.33883661,
            0.340538889,
            0.342241198,
            0.343943477,
            0.345645756,
            0.347348034,
            0.349050313,
            0.350752592,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.351520449,
            0.35224998,
            0.352979541,
            0.353709102,
            0.354438633,
            0.355168194,
            0.355897725,
            0.356627285,
            0.357356846,
            0.358086377,
            0.358815938,
            0.359545499,
            0.36027503,
            0.361004591,
            0.361734152,
            0.362463683,
            0.363193244,
            0.363922775,
            0.364652336,
            0.365381896,
            0.366111428,
            0.366840988,
            0.367570519,
            0.36830008,
            0.369029641,
            0.369759172,
            0.370488733,
            0.371218294,
            0.371947825,
            0.372677386,
            0.373406917,
            0.374136478,
            0.374866039,
            0.37559557,
            0.37632513,
            0.377054691,
            0.377784222,
            0.378513783,
            0.379243314,
            0.379972875,
            0.380702436,
            0.381431967,
            0.382161528,
            0.382891089,
            0.38362062,
            0.384350181,
            0.385079712,
            0.385809273,
            0.386626899,
            0.387599647,
            0.388572365,
            0.389545113,
            0.390517831,
            0.391490579,
            0.392463297,
            0.393436044,
            0.394408762,
            0.39538151,
            0.396354228,
            0.397326976,
            0.398299694,
            0.399272442,
            0.40024516,
            0.401217908,
            0.401731074,
            0.400758326,
            0.399785608,
            0.39881286,
            0.397840142,
            0.396867394,
            0.395894676,
            0.394921929,
            0.393949211,
            0.392976463,
            0.392003745,
            0.391030997,
            0.390058279,
            0.389085531,
            0.388112813,
            0.387140065,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.385556519,
            0.384826958,
            0.384097427,
            0.383367866,
            0.382638305,
            0.381908774,
            0.381179214,
            0.380449682,
            0.379720122,
            0.378990561,
            0.37826103,
            0.377531469,
            0.376801908,
            0.376072377,
            0.375342816,
            0.374613285,
            0.373883724,
            0.373154163,
            0.372424632,
            0.371695071,
            0.370965511,
            0.37023598,
            0.369506419,
            0.368776888,
            0.368047327,
            0.367317766,
            0.366588235,
            0.365858674,
            0.365129113,
            0.364399582,
            0.363670021,
            0.36294049,
            0.362210929,
            0.361481369,
            0.360751837,
            0.360022277,
            0.359292716,
            0.358563185,
            0.357833624,
            0.357104093,
            0.356374532,
            0.355644971,
            0.35491544,
            0.354185879,
            0.353456318,
            0.352726787,
            0.351997226,
            0.351267695,
            0.350538135,
            0.349808574,
            0.349079043,
            0.348349482,
            0.347619951,
            0.34689039,
            0.346160829,
            0.345431298,
            0.344701737,
            0.343972176,
            0.343242645,
            0.342513084,
            0.341783553,
            0.341053993,
            0.340324432,
            0.339594901,
            0.338748544,
            0.337775797,
            0.336803079,
            0.335830331,
            0.334857613,
            0.333884865,
            0.332912147,
            0.331939399,
            0.330966681,
            0.329993933,
            0.329021215,
            0.328048468,
            0.32707575,
            0.326103002,
            0.325130284,
            0.324157536,
            0.323012471,
            0.321553379,
            0.320094287,
            0.318635166,
            0.317176074,
            0.315716982,
            0.31425789,
            0.312798798,
            0.311339676,
            0.309880584,
            0.308421493,
            0.306962401,
            0.305503279,
            0.304044187,
            0.302585095,
            0.301126003,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.299287766,
            0.298558205,
            0.297828645,
            0.297099113,
            0.296369553,
            0.295640022,
            0.294910461,
            0.2941809,
            0.293451369,
            0.292721808,
            0.291992247,
            0.291262716,
            0.290533155,
            0.289803624,
            0.289074063,
            0.288344502,
            0.287614971,
            0.286885411,
            0.286155879,
            0.285426319,
            0.284696788,
            0.283967227,
            0.283237696,
            0.282508135,
            0.281778604,
            0.281049043,
            0.280319512,
            0.279589951,
            0.27886042,
            0.278130859,
            0.277401328,
            0.276671767,
            0.27523756,
            0.273535281,
            0.271832973,
            0.270130694,
            0.268428415,
            0.266726106,
            0.265023828,
            0.263321549,
            0.26161924,
            0.259916961,
            0.258214653,
            0.256512374,
            0.254810095,
            0.253107786,
            0.251405507,
            0.249703214,
            0.248583049,
            0.247853488,
            0.247123942,
            0.246394396,
            0.24566485,
            0.244935289,
            0.244205743,
            0.243476197,
            0.242746651,
            0.24201709,
            0.241287544,
            0.240557998,
            0.239828452,
            0.239098892,
            0.238369346,
            0.2376398,
            0.236910254,
            0.236180693,
            0.235451147,
            0.234721601,
            0.233992055,
            0.233262494,
            0.232532948,
            0.231803402,
            0.231073856,
            0.230344296,
            0.22961475,
            0.228885204,
            0.228155658,
            0.227426112,
            0.226696551,
            0.225967005,
            0.225237459,
            0.224507898,
            0.223778352,
            0.223048806,
            0.22231926,
            0.221589714,
            0.220860153,
            0.220130607,
            0.219401062,
            0.218671516,
            0.217941955,
            0.217212409,
            0.216482863,
            0.215753317,
            0.215023756,
            0.21429421,
            0.213350207,
            0.211647913,
            0.209945634,
            0.208243355,
            0.206541076,
            0.204838783,
            0.203136504,
            0.201434225,
            0.199731946,
            0.198029667,
            0.196327373,
            0.194625095,
            0.192922816,
            0.191220522,
            0.189518243,
            0.187815964,
            0.186136663,
            0.184677571,
            0.183218464,
            0.181759372,
            0.18030028,
            0.178841189,
            0.177382082,
            0.17592299,
            0.174463898,
            0.173004806,
            0.171545714,
            0.170086607,
            0.168627515,
            0.167168424,
            0.165709317,
            0.164250225,
            0.162791133,
            0.16038993,
            0.157958105,
            0.155526266,
            0.153094426,
            0.150662586,
            0.148230761,
            0.145798922,
            0.143367082,
            0.140935242,
            0.138503417,
            0.136071578,
            0.133639738,
            0.131207913,
            0.128776073,
            0.126344234,
            0.123912401,
            0.122300118,
            0.120841011,
            0.11938192,
            0.11792282,
            0.116463721,
            0.115004621,
            0.113545522,
            0.112086423,
            0.110627323,
            0.109168224,
            0.107709125,
            0.106250025,
            0.104790926,
            0.103331827,
            0.101872727,
            0.100413628,
            0.0989545286,
            0.0974954292,
            0.0960363299,
            0.0945772305,
            0.0931181312,
            0.0916590318,
            0.0901999325,
            0.0887408331,
            0.0872817338,
            0.0858226344,
            0.084363535,
            0.0829044357,
            0.0814453363,
            0.079986237,
            0.0785271376,
            0.0770680383,
            0.075465329,
            0.0737630427,
            0.0720607638,
            0.070358485,
            0.0686561987,
            0.0669539198,
            0.0652516335,
            0.0635493547,
            0.0618470684,
            0.0601447895,
            0.0584425032,
            0.0567402244,
            0.0550379381,
            0.0533356592,
            0.0516333729,
            0.0499310941,
            0.0486807115,
            0.0479511619,
            0.0472216122,
            0.0464920625,
            0.0457625128,
            0.0450329632,
            0.0443034135,
            0.0435738638,
            0.0428443141,
            0.0421147645,
            0.0413852148,
            0.0406556651,
            0.0399261154,
            0.0391965657,
            0.0384670161,
            0.0377374664,
            0.0367609039,
            0.0353018045,
            0.0338427052,
            0.0323836058,
            0.0309245065,
            0.0294654071,
            0.0280063078,
            0.0265472084,
            0.0250881091,
            0.0236290116,
            0.0221699122,
            0.0207108129,
            0.0192517135,
            0.0177926142,
            0.0163335148,
            0.0148744155,
            0.0133636165,
            0.011661334,
            0.00995905139,
            0.00825676974,
            0.00655448716,
            0.00485220458,
            0.00314992201,
            0.00144764036,
            -0.000254642218,
            -0.0019569248,
            -0.00365920737,
            -0.00536148995,
            -0.00706377253,
            -0.00876605511,
            -0.0104683358,
            -0.0121706184,
            -0.0137886489,
            -0.0145181986,
            -0.0152477482,
            -0.015977297,
            -0.0167068467,
            -0.0174363963,
            -0.018165946,
            -0.0188954957,
            -0.0196250454,
            -0.020354595,
            -0.0210841447,
            -0.0218136944,
            -0.0225432441,
            -0.0232727937,
            -0.0240023434,
            -0.0247318931,
            -0.0254614428,
            -0.0268918183,
            -0.0283509176,
            -0.029810017,
            -0.0312691182,
            -0.0327282175,
            -0.0341873169,
            -0.0356464162,
            -0.0371055156,
            -0.0385646112,
            -0.0400237106,
            -0.0414828099,
            -0.0429419093,
            -0.0444010086,
            -0.045860108,
            -0.0473192073,
            -0.0487783067,
            -0.0496284887,
            -0.0503580384,
            -0.0510875881,
            -0.0518171377,
            -0.0525466874,
            -0.0532762371,
            -0.0540057868,
            -0.0547353365,
            -0.0554648861,
            -0.0561944358,
            -0.0569239855,
            -0.0576535352,
            -0.0583830848,
            -0.0591126345,
            -0.0598421842,
            -0.0605717339,
            -0.0614736192,
            -0.0624463521,
            -0.0634190813,
            -0.0643918142,
            -0.0653645471,
            -0.06633728,
            -0.0673100129,
            -0.0682827458,
            -0.0692554787,
            -0.0702282116,
            -0.0712009445,
            -0.0721736774,
            -0.0731464103,
            -0.0741191432,
            -0.0750918761,
            -0.076064609,
            -0.0768956468,
            -0.0776251927,
            -0.0783547461,
            -0.0790842921,
            -0.0798138455,
            -0.0805433914,
            -0.0812729448,
            -0.0820024908,
            -0.0827320442,
            -0.0834615901,
            -0.0841911435,
            -0.0849206895,
            -0.0856502429,
            -0.0863797888,
            -0.0871093422,
            -0.0878388882,
            -0.0885684416,
            -0.0892979875,
            -0.0900275409,
            -0.0907570869,
            -0.0914866403,
            -0.0922161862,
            -0.0929457396,
            -0.0936752856,
            -0.094404839,
            -0.0951343849,
            -0.0958639383,
            -0.0965934843,
            -0.0973230302,
            -0.0980525836,
            -0.098782137,
            -0.099511683,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100149319,
            -0.100878865,
            -0.101608418,
            -0.102337964,
            -0.10306751,
            -0.103797056,
            -0.104526609,
            -0.105256155,
            -0.105985701,
            -0.106715247,
            -0.1074448,
            -0.108174346,
            -0.108903892,
            -0.109633438,
            -0.110362992,
            -0.111092538,
            -0.111822084,
            -0.112551637,
            -0.11328119,
            -0.114010736,
            -0.11474029,
            -0.115469843,
            -0.116199397,
            -0.116928943,
            -0.117658496,
            -0.118388049,
            -0.119117603,
            -0.119847149,
            -0.120576702,
            -0.121306255,
            -0.122035801,
            -0.122765355,
            -0.123494908,
            -0.124456152,
            -0.125428885,
            -0.126401618,
            -0.127374351,
            -0.128347099,
            -0.129319832,
            -0.130292565,
            -0.131265298,
            -0.13223803,
            -0.133210763,
            -0.134183496,
            -0.135156229,
            -0.136128962,
            -0.13710171,
            -0.138074443,
            -0.139047176,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139024198,
            -0.138051465,
            -0.137078732,
            -0.136105984,
            -0.135133252,
            -0.134160519,
            -0.133187786,
            -0.132215053,
            -0.13124232,
            -0.130269587,
            -0.129296854,
            -0.128324121,
            -0.127351373,
            -0.126378641,
            -0.125405908,
            -0.124433175,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.124448493,
            -0.125421226,
            -0.126393959,
            -0.127366692,
            -0.12833944,
            -0.129312173,
            -0.130284905,
            -0.131257638,
            -0.132230371,
            -0.133203104,
            -0.134175837,
            -0.13514857,
            -0.136121303,
            -0.137094051,
            -0.138066784,
            -0.139039516,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.138250604,
            -0.136548311,
            -0.134846032,
            -0.133143738,
            -0.131441459,
            -0.129739165,
            -0.128036886,
            -0.126334608,
            -0.124632314,
            -0.122930028,
            -0.121227741,
            -0.119525455,
            -0.117823169,
            -0.116120882,
            -0.114418596,
            -0.11271631,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111534864,
            -0.11080531,
            -0.110075764,
            -0.109346218,
            -0.108616672,
            -0.107887119,
            -0.107157573,
            -0.106428027,
            -0.105698481,
            -0.104968928,
            -0.104239382,
            -0.103509836,
            -0.10278029,
            -0.102050737,
            -0.101321191,
            -0.100591645,
            -0.10013783,
            -0.100867376,
            -0.101596929,
            -0.102326475,
            -0.103056021,
            -0.103785567,
            -0.10451512,
            -0.105244666,
            -0.105974212,
            -0.106703758,
            -0.107433312,
            -0.108162858,
            -0.108892404,
            -0.109621949,
            -0.110351503,
            -0.111081049,
            -0.111672729,
            -0.11021363,
            -0.108754531,
            -0.107295439,
            -0.105836339,
            -0.10437724,
            -0.102918148,
            -0.101459049,
            -0.0999999493,
            -0.09854085,
            -0.0970817506,
            -0.0956226587,
            -0.0941635594,
            -0.09270446,
            -0.0912453681,
            -0.0897862688,
            -0.0883271694,
            -0.0875516683,
            -0.0868221149,
            -0.0860925689,
            -0.0853630155,
            -0.0846334696,
            -0.0839039162,
            -0.0831743702,
            -0.0824448168,
            -0.0817152709,
            -0.0809857175,
            -0.0802561715,
            -0.0795266181,
            -0.0787970722,
            -0.0780675188,
            -0.0773379728,
            -0.0766084194,
            -0.0770622343,
            -0.0777917877,
            -0.0785213336,
            -0.079250887,
            -0.079980433,
            -0.0807099864,
            -0.0814395323,
            -0.0821690857,
            -0.0828986317,
            -0.0836281851,
            -0.084357731,
            -0.0850872844,
            -0.0858168304,
            -0.0865463763,
            -0.0872759297,
            -0.0880054832,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0879193097,
            -0.0871897638,
            -0.0864602104,
            -0.0857306644,
            -0.085001111,
            -0.0842715651,
            -0.0835420117,
            -0.0828124657,
            -0.0820829123,
            -0.0813533664,
            -0.0806238204,
            -0.079894267,
            -0.0791647136,
            -0.0784351677,
            -0.0777056217,
            -0.0769760683,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.076602675,
            -0.0773322284,
            -0.0780617744,
            -0.0787913278,
            -0.0795208737,
            -0.0802504271,
            -0.0809799731,
            -0.0817095265,
            -0.0824390724,
            -0.0831686258,
            -0.0838981718,
            -0.0846277252,
            -0.0853572711,
            -0.0860868245,
            -0.0868163705,
            -0.0875459239,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.087649323,
            -0.0869197696,
            -0.0861902237,
            -0.0854606703,
            -0.0847311243,
            -0.0840015709,
            -0.083272025,
            -0.0825424716,
            -0.0818129256,
            -0.0810833722,
            -0.0803538263,
            -0.0796242729,
            -0.0788947269,
            -0.0781651735,
            -0.0774356276,
            -0.0767060816,
            -0.0758118555,
            -0.0748391226,
            -0.0738663897,
            -0.0728936568,
            -0.0719209239,
            -0.070948191,
            -0.0699754581,
            -0.0690027252,
            -0.0680299923,
            -0.0670572594,
            -0.0660845265,
            -0.0651117936,
            -0.0641390607,
            -0.0631663278,
            -0.0621935949,
            -0.061220862,
            -0.0617225468,
            -0.0634248257,
            -0.065127112,
            -0.0668293908,
            -0.0685316771,
            -0.070233956,
            -0.0719362423,
            -0.0736385211,
            -0.0753408074,
            -0.0770430863,
            -0.0787453726,
            -0.0804476514,
            -0.0821499377,
            -0.0838522166,
            -0.0855544955,
            -0.0872567818,
            -0.088545464,
            -0.0892750099,
            -0.0900045633,
            -0.0907341093,
            -0.0914636627,
            -0.0921932086,
            -0.092922762,
            -0.093652308,
            -0.0943818614,
            -0.0951114073,
            -0.0958409607,
            -0.0965705067,
            -0.0973000526,
            -0.098029606,
            -0.0987591594,
            -0.0994887054,
            -0.0997816771,
            -0.0990521237,
            -0.0983225778,
            -0.0975930244,
            -0.0968634784,
            -0.096133925,
            -0.0954043791,
            -0.0946748257,
            -0.0939452797,
            -0.0932157263,
            -0.0924861804,
            -0.091756627,
            -0.091027081,
            -0.0902975276,
            -0.0895679817,
            -0.0888384283,
            -0.0881088823,
            -0.0873793289,
            -0.086649783,
            -0.0859202296,
            -0.0851906836,
            -0.0844611302,
            -0.0837315843,
            -0.0830020308,
            -0.0822724849,
            -0.0815429315,
            -0.0808133855,
            -0.0800838321,
            -0.0793542862,
            -0.0786247328,
            -0.0778951868,
            -0.0771656334,
            -0.0763901323,
            -0.074687846,
            -0.0729855672,
            -0.0712832808,
            -0.069581002,
            -0.0678787231,
            -0.0661764368,
            -0.0644741505,
            -0.0627718717,
            -0.0610695891,
            -0.0593673065,
            -0.0576650277,
            -0.0559627414,
            -0.0542604625,
            -0.0525581762,
            -0.0508558974,
            -0.0491536111,
            -0.0483474694,
            -0.0476179197,
            -0.0468883701,
            -0.0461588204,
            -0.0454292707,
            -0.044699721,
            -0.0439701714,
            -0.0432406217,
            -0.0425110757,
            -0.0417815223,
            -0.0410519764,
            -0.040322423,
            -0.039592877,
            -0.0388633236,
            -0.0381337777,
            -0.0374042243,
            -0.036094483,
            -0.0346353836,
            -0.0331762843,
            -0.0317171849,
            -0.0302580874,
            -0.0287989881,
            -0.0273398887,
            -0.0258807894,
            -0.0244216919,
            -0.0229625925,
            -0.0215034913,
            -0.0200443938,
            -0.0185852945,
            -0.0171261951,
            -0.0156670958,
            -0.0142079964,
            -0.0125861363,
            -0.0108838547,
            -0.00918157212,
            -0.00747928955,
            -0.00577700697,
            -0.00407472439,
            -0.00237244274,
            -0.000670160167,
            0.00103212241,
            0.00273440406,
            0.00443668664,
            0.00613896921,
            0.00784125179,
            0.00954353437,
            0.0112458169,
            0.0129480995,
            0.0141218882,
            0.0148514379,
            0.0155809876,
            0.0163105372,
            0.0170400869,
            0.0177696366,
            0.0184991863,
            0.0192287359,
            0.0199582856,
            0.0206878353,
            0.021417385,
            0.0221469328,
            0.0228764825,
            0.0236060321,
            0.0243355818,
            0.0250651315,
            0.0257946812,
            0.0265242308,
            0.0272537805,
            0.0279833302,
            0.0287128799,
            0.0294424295,
            0.0301719792,
            0.0309015289,
            0.0316310786,
            0.0323606282,
            0.0330901779,
            0.0338197276,
            0.0345492773,
            0.035278827,
            0.0360083766,
            0.0367379263,
            0.037467476,
            0.0381970257,
            0.0389265753,
            0.039656125,
            0.0403856747,
            0.0411152244,
            0.041844774,
            0.0425743237,
            0.0433038734,
            0.0440334231,
            0.0447629727,
            0.0454925224,
            0.0462220684,
            0.0469516218,
            0.0476811677,
            0.0484107211,
            0.0491402671,
            0.0498698168,
            0.0505993664,
            0.0513289161,
            0.0520584658,
            0.0527880155,
            0.0535175651,
            0.0542471148,
            0.0549766645,
            0.0557062142,
            0.0564357638,
            0.0571653135,
            0.0578948632,
            0.0586244129,
            0.0593539625,
            0.0600835122,
            0.0608513579,
            0.0625536442,
            0.064255923,
            0.0659582093,
            0.0676604882,
            0.0693627745,
            0.0710650533,
            0.0727673322,
            0.0744696185,
            0.0761718974,
            0.0778741837,
            0.0795764625,
            0.0812787488,
            0.0829810277,
            0.084683314,
            0.0863855928,
            0.0880878791,
            0.0895680413,
            0.0910271406,
            0.09248624,
            0.0939453393,
            0.0954044387,
            0.096863538,
            0.0983226374,
            0.0997817367,
            0.101240829,
            0.102699935,
            0.104159027,
            0.105618134,
            0.107077226,
            0.108536333,
            0.109995425,
            0.111454524,
            0.113105111,
            0.11480739,
            0.116509676,
            0.118211955,
            0.119914241,
            0.12161652,
            0.123318806,
            0.125021085,
            0.126723364,
            0.128425658,
            0.130127937,
            0.131830215,
            0.133532494,
            0.135234773,
            0.136937067,
            0.138639346,
            0.139698237,
            0.140427798,
            0.141157344,
            0.14188689,
            0.142616436,
            0.143345997,
            0.144075543,
            0.144805089,
            0.145534635,
            0.146264195,
            0.146993741,
            0.147723287,
            0.148452833,
            0.149182394,
            0.14991194,
            0.150641486,
            0.151371047,
            0.152100593,
            0.152830154,
            0.1535597,
            0.154289246,
            0.155018806,
            0.155748367,
            0.156477913,
            0.157207459,
            0.15793702,
            0.158666566,
            0.159396127,
            0.160125673,
            0.160855234,
            0.16158478,
            0.16231434,
            0.162446469,
            0.161716908,
            0.160987362,
            0.160257801,
            0.159528255,
            0.158798695,
            0.158069149,
            0.157339588,
            0.156610042,
            0.155880481,
            0.155150935,
            0.154421374,
            0.153691828,
            0.152962267,
            0.152232721,
            0.151503161,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151641026,
            0.152370587,
            0.153100133,
            0.153829694,
            0.15455924,
            0.155288801,
            0.156018347,
            0.156747907,
            0.157477453,
            0.158207014,
            0.15893656,
            0.159666121,
            0.160395667,
            0.161125228,
            0.161854774,
            0.162584335,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163698763,
            0.165157855,
            0.166616946,
            0.168076053,
            0.169535145,
            0.170994237,
            0.172453329,
            0.173912436,
            0.175371528,
            0.17683062,
            0.178289711,
            0.179748803,
            0.18120791,
            0.182667002,
            0.184126094,
            0.185585186,
            0.18678771,
            0.187760442,
            0.188733175,
            0.189705908,
            0.190678656,
            0.191651389,
            0.192624122,
            0.193596855,
            0.194569603,
            0.195542336,
            0.196515068,
            0.197487801,
            0.198460549,
            0.199433282,
            0.200406015,
            0.201378748,
            0.202253833,
            0.202983379,
            0.203712925,
            0.204442471,
            0.205172017,
            0.205901563,
            0.206631109,
            0.207360655,
            0.208090201,
            0.208819747,
            0.209549293,
            0.210278839,
            0.211008385,
            0.211737931,
            0.212467477,
            0.213197023,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213470832,
            0.211768553,
            0.210066274,
            0.208363995,
            0.206661701,
            0.204959422,
            0.203257143,
            0.201554865,
            0.199852571,
            0.198150292,
            0.196448013,
            0.194745734,
            0.193043441,
            0.191341162,
            0.189638883,
            0.187936604,
            0.186257288,
            0.185527742,
            0.184798196,
            0.18406865,
            0.183339089,
            0.182609543,
            0.181879997,
            0.181150451,
            0.180420905,
            0.179691344,
            0.178961799,
            0.178232253,
            0.177502707,
            0.176773146,
            0.1760436,
            0.175314054,
            0.174584508,
            0.173854962,
            0.173125416,
            0.17239587,
            0.171666324,
            0.170936778,
            0.170207232,
            0.169477686,
            0.16874814,
            0.168018594,
            0.167289048,
            0.166559502,
            0.165829957,
            0.165100411,
            0.164370865,
            0.163641319,
            0.162911773,
            0.162182212,
            0.161452666,
            0.160723105,
            0.159993559,
            0.159263998,
            0.158534452,
            0.157804891,
            0.157075346,
            0.156345785,
            0.155616239,
            0.154886678,
            0.154157132,
            0.153427571,
            0.152698025,
            0.151968464,
            0.151238918,
            0.150509372,
            0.149779812,
            0.149050266,
            0.14832072,
            0.147591174,
            0.146861613,
            0.146132067,
            0.145402521,
            0.144672975,
            0.143943414,
            0.143213868,
            0.142484322,
            0.141754776,
            0.141025215,
            0.140295669,
            0.139566123,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.138832748,
            0.137860015,
            0.136887282,
            0.135914549,
            0.134941816,
            0.133969083,
            0.132996351,
            0.132023618,
            0.131050885,
            0.130078152,
            0.129105419,
            0.128132686,
            0.127159953,
            0.12618722,
            0.125214487,
            0.124241754,
            0.123334125,
            0.122604571,
            0.121875025,
            0.121145472,
            0.120415926,
            0.119686373,
            0.118956827,
            0.118227273,
            0.117497727,
            0.116768174,
            0.116038628,
            0.115309075,
            0.114579529,
            0.113849975,
            0.113120429,
            0.112390876,
            0.11166133,
            0.110931776,
            0.110202231,
            0.109472677,
            0.108743131,
            0.108013578,
            0.107284032,
            0.106554478,
            0.105824932,
            0.105095379,
            0.104365833,
            0.10363628,
            0.102906734,
            0.102177188,
            0.101447634,
            0.100718081,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100465328,
            0.101194873,
            0.101924427,
            0.102653973,
            0.103383526,
            0.104113072,
            0.104842626,
            0.105572172,
            0.106301725,
            0.107031271,
            0.107760824,
            0.10849037,
            0.109219924,
            0.10994947,
            0.110679023,
            0.111408569,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111954294,
            0.112683848,
            0.113413393,
            0.114142947,
            0.114872493,
            0.115602046,
            0.116331592,
            0.117061146,
            0.117790692,
            0.118520245,
            0.119249791,
            0.119979344,
            0.12070889,
            0.121438444,
            0.12216799,
            0.122897543,
            0.123659641,
            0.124632373,
            0.125605106,
            0.126577839,
            0.127550572,
            0.128523305,
            0.129496038,
            0.130468771,
            0.131441504,
            0.132414237,
            0.13338697,
            0.134359702,
            0.135332435,
            0.136305168,
            0.137277901,
            0.138250634,
            0.13922146,
            0.139951006,
            0.140680552,
            0.141410097,
            0.142139643,
            0.142869204,
            0.14359875,
            0.144328296,
            0.145057842,
            0.145787403,
            0.146516949,
            0.147246495,
            0.147976041,
            0.148705602,
            0.149435148,
            0.150164694,
            0.15089424,
            0.1516238,
            0.152353346,
            0.153082907,
            0.153812453,
            0.154542014,
            0.15527156,
            0.156001121,
            0.156730667,
            0.157460228,
            0.158189774,
            0.158919334,
            0.15964888,
            0.160378441,
            0.161107987,
            0.161837548,
            0.162567094,
            0.16329664,
            0.164026186,
            0.164755732,
            0.165485278,
            0.166214824,
            0.16694437,
            0.167673916,
            0.168403462,
            0.169133008,
            0.169862553,
            0.170592099,
            0.171321645,
            0.172051191,
            0.172780737,
            0.173510283,
            0.174239829,
            0.174969375,
            0.175698936,
            0.176428482,
            0.177158028,
            0.177887574,
            0.178617135,
            0.179346681,
            0.180076227,
            0.180805773,
            0.181535333,
            0.182264879,
            0.182994425,
            0.183723971,
            0.184453532,
            0.185183078,
            0.185912624,
            0.186764732,
            0.187737465,
            0.188710198,
            0.189682931,
            0.190655679,
            0.191628411,
            0.192601144,
            0.193573877,
            0.194546625,
            0.195519358,
            0.196492091,
            0.197464824,
            0.198437572,
            0.199410304,
            0.200383037,
            0.20135577,
            0.202236593,
            0.202966139,
            0.203695685,
            0.204425231,
            0.205154777,
            0.205884323,
            0.206613868,
            0.207343414,
            0.20807296,
            0.208802506,
            0.209532052,
            0.210261598,
            0.210991144,
            0.21172069,
            0.212450236,
            0.213179782,
            0.213909328,
            0.214638874,
            0.215368435,
            0.216097981,
            0.216827527,
            0.217557073,
            0.218286633,
            0.219016179,
            0.219745725,
            0.220475271,
            0.221204832,
            0.221934378,
            0.222663924,
            0.22339347,
            0.224123031,
            0.224852577,
            0.225582123,
            0.226311669,
            0.22704123,
            0.227770776,
            0.228500322,
            0.229229867,
            0.229959428,
            0.230688974,
            0.23141852,
            0.232148066,
            0.232877627,
            0.233607173,
            0.234336719,
            0.235066265,
            0.235795826,
            0.236525372
          ],
          [
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.27683261,
            0.277562171,
            0.278291702,
            0.279021263,
            0.279750794,
            0.280480355,
            0.281209886,
            0.281939447,
            0.282668978,
            0.283398539,
            0.28412807,
            0.284857631,
            0.285587162,
            0.286316723,
            0.287046254,
            0.287775815,
            0.288505346,
            0.289234906,
            0.289964467,
            0.290693998,
            0.291423559,
            0.29215312,
            0.292882651,
            0.293612212,
            0.294341743,
            0.295071304,
            0.295800865,
            0.296530396,
            0.297259957,
            0.297989488,
            0.298719049,
            0.299448609,
            0.30017814,
            0.300907701,
            0.301637262,
            0.302366793,
            0.303096354,
            0.303825885,
            0.304555446,
            0.305285007,
            0.306014538,
            0.306744099,
            0.30747366,
            0.308203191,
            0.308932751,
            0.309662282,
            0.310391843,
            0.311121404,
            0.311850935,
            0.312580496,
            0.313310057,
            0.314039588,
            0.314769149,
            0.31549868,
            0.316228241,
            0.316957802,
            0.317687333,
            0.318416893,
            0.319146454,
            0.319875985,
            0.320605546,
            0.321335077,
            0.322064638,
            0.322794199,
            0.32352373,
            0.32521835,
            0.326920629,
            0.328622937,
            0.330325216,
            0.332027495,
            0.333729774,
            0.335432053,
            0.337134331,
            0.33883661,
            0.340538889,
            0.342241198,
            0.343943477,
            0.345645756,
            0.347348034,
            0.349050313,
            0.350752592,
            0.351612359,
            0.35234189,
            0.353071451,
            0.353801012,
            0.354530543,
            0.355260104,
            0.355989665,
            0.356719196,
            0.357448757,
            0.358178288,
            0.358907849,
            0.359637409,
            0.36036694,
            0.361096501,
            0.361826062,
            0.362555593,
            0.363285154,
            0.364014685,
            0.364744246,
            0.365473807,
            0.366203338,
            0.366932899,
            0.36766243,
            0.368391991,
            0.369121552,
            0.369851083,
            0.370580643,
            0.371310204,
            0.372039735,
            0.372769296,
            0.373498857,
            0.374228388,
            0.374957949,
            0.37568748,
            0.376417041,
            0.377146602,
            0.377876133,
            0.378605694,
            0.379335225,
            0.380064785,
            0.380794346,
            0.381523877,
            0.382253438,
            0.382982999,
            0.38371253,
            0.384442091,
            0.385171622,
            0.385901183,
            0.386749446,
            0.387722194,
            0.388694912,
            0.38966766,
            0.390640378,
            0.391613126,
            0.392585844,
            0.393558592,
            0.39453131,
            0.395504057,
            0.396476775,
            0.397449523,
            0.398422241,
            0.399394989,
            0.400367707,
            0.401340455,
            0.402225107,
            0.402954638,
            0.403684199,
            0.40441373,
            0.405143291,
            0.405872822,
            0.406602383,
            0.407331914,
            0.408061475,
            0.408791006,
            0.409520566,
            0.410250098,
            0.410979658,
            0.411709189,
            0.41243875,
            0.413168281,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413645059,
            0.412915528,
            0.412185967,
            0.411456436,
            0.410726875,
            0.409997344,
            0.409267783,
            0.408538252,
            0.407808691,
            0.40707916,
            0.406349599,
            0.405620068,
            0.404890537,
            0.404160976,
            0.403431416,
            0.402701885,
            0.401972353,
            0.40100345,
            0.400030702,
            0.399057984,
            0.398085237,
            0.397112519,
            0.396139771,
            0.395167053,
            0.394194305,
            0.393221587,
            0.392248839,
            0.391276121,
            0.390303373,
            0.389330655,
            0.388357908,
            0.38738519,
            0.386412442,
            0.385648429,
            0.384918869,
            0.384189337,
            0.383459777,
            0.382730216,
            0.382000685,
            0.381271124,
            0.380541593,
            0.379812032,
            0.379082471,
            0.37835294,
            0.377623379,
            0.376893818,
            0.376164287,
            0.375434726,
            0.374705195,
            0.373975635,
            0.373246074,
            0.372516543,
            0.371786982,
            0.371057421,
            0.37032789,
            0.369598329,
            0.368868798,
            0.368139237,
            0.367409676,
            0.366680145,
            0.365950584,
            0.365221024,
            0.364491493,
            0.363761932,
            0.363032401,
            0.36230284,
            0.361573279,
            0.360843748,
            0.360114187,
            0.359384656,
            0.358655095,
            0.357925534,
            0.357196003,
            0.356466442,
            0.355736881,
            0.35500735,
            0.35427779,
            0.353548259,
            0.352818698,
            0.352089137,
            0.351359606,
            0.350630045,
            0.349900484,
            0.349170953,
            0.348441392,
            0.347711861,
            0.3469823,
            0.346252739,
            0.345523208,
            0.344793648,
            0.344064087,
            0.343334556,
            0.342604995,
            0.341875464,
            0.341145903,
            0.340416342,
            0.339686811,
            0.338612586,
            0.336910307,
            0.335208029,
            0.33350575,
            0.331803441,
            0.330101162,
            0.328398883,
            0.326696604,
            0.324994326,
            0.323292047,
            0.321589768,
            0.319887489,
            0.31818521,
            0.316482902,
            0.314780623,
            0.313078344,
            0.311598182,
            0.310868651,
            0.31013909,
            0.309409529,
            0.308679998,
            0.307950437,
            0.307220876,
            0.306491345,
            0.305761784,
            0.305032253,
            0.304302692,
            0.303573132,
            0.302843601,
            0.30211404,
            0.301384479,
            0.300654948,
            0.299925387,
            0.299195856,
            0.298466295,
            0.297736734,
            0.297007203,
            0.296277642,
            0.295548081,
            0.29481855,
            0.294088989,
            0.293359458,
            0.292629898,
            0.291900337,
            0.291170806,
            0.290441245,
            0.289711714,
            0.288982153,
            0.288252592,
            0.287523061,
            0.2867935,
            0.286063969,
            0.285334408,
            0.284604877,
            0.283875316,
            0.283145785,
            0.282416224,
            0.281686693,
            0.280957133,
            0.280227602,
            0.279498041,
            0.27876851,
            0.278038949,
            0.277309418,
            0.276579857,
            0.275643498,
            0.27467078,
            0.273698032,
            0.272725314,
            0.271752566,
            0.270779818,
            0.2698071,
            0.268834352,
            0.267861605,
            0.266888887,
            0.265916139,
            0.264943421,
            0.263970673,
            0.262997925,
            0.262025207,
            0.261052459,
            0.260255903,
            0.259526342,
            0.258796781,
            0.25806722,
            0.257337689,
            0.256608129,
            0.255878568,
            0.255149007,
            0.254419476,
            0.253689915,
            0.252960354,
            0.252230793,
            0.251501262,
            0.250771701,
            0.25004214,
            0.249312595,
            0.248583049,
            0.247853488,
            0.247123942,
            0.246394396,
            0.24566485,
            0.244935289,
            0.244205743,
            0.243476197,
            0.242746651,
            0.24201709,
            0.241287544,
            0.240557998,
            0.239828452,
            0.239098892,
            0.238369346,
            0.2376398,
            0.236565575,
            0.235106483,
            0.233647376,
            0.232188284,
            0.230729178,
            0.229270086,
            0.227810979,
            0.226351887,
            0.22489278,
            0.223433688,
            0.221974581,
            0.22051549,
            0.219056398,
            0.217597291,
            0.216138184,
            0.214679092,
            0.213472754,
            0.212743208,
            0.212013662,
            0.211284116,
            0.21055457,
            0.209825024,
            0.209095478,
            0.208365932,
            0.207636386,
            0.20690684,
            0.206177294,
            0.205447748,
            0.204718202,
            0.203988656,
            0.20325911,
            0.202529564,
            0.201585561,
            0.199883267,
            0.198180988,
            0.196478695,
            0.194776416,
            0.193074122,
            0.191371843,
            0.189669549,
            0.187967271,
            0.186264977,
            0.184562698,
            0.182860404,
            0.181158125,
            0.179455832,
            0.177753553,
            0.176051259,
            0.174371958,
            0.172912851,
            0.171453759,
            0.169994652,
            0.16853556,
            0.167076454,
            0.165617362,
            0.164158255,
            0.162699163,
            0.161240056,
            0.159780964,
            0.158321857,
            0.156862766,
            0.155403674,
            0.153944567,
            0.15248546,
            0.151026368,
            0.149331748,
            0.14762947,
            0.145927176,
            0.144224897,
            0.142522618,
            0.140820339,
            0.139118046,
            0.137415767,
            0.135713488,
            0.134011209,
            0.13230893,
            0.130606636,
            0.128904358,
            0.127202079,
            0.125499785,
            0.123797506,
            0.122300118,
            0.120841011,
            0.11938192,
            0.11792282,
            0.116463721,
            0.115004621,
            0.113545522,
            0.112086423,
            0.110627323,
            0.109168224,
            0.107709125,
            0.106250025,
            0.104790926,
            0.103331827,
            0.101872727,
            0.100413628,
            0.0989545286,
            0.0974954292,
            0.0960363299,
            0.0945772305,
            0.0931181312,
            0.0916590318,
            0.0901999325,
            0.0887408331,
            0.0872817338,
            0.0858226344,
            0.084363535,
            0.0829044357,
            0.0814453363,
            0.079986237,
            0.0785271376,
            0.0770680383,
            0.0758961663,
            0.0749234334,
            0.0739507005,
            0.0729779676,
            0.0720052347,
            0.0710325018,
            0.0700597689,
            0.069087036,
            0.0681143031,
            0.0671415702,
            0.0661688372,
            0.0651961043,
            0.0642233714,
            0.0632506385,
            0.0622779056,
            0.0613051727,
            0.0604454167,
            0.059715867,
            0.0589863174,
            0.0582567677,
            0.057527218,
            0.0567976683,
            0.0560681187,
            0.055338569,
            0.0546090193,
            0.0538794696,
            0.05314992,
            0.0524203703,
            0.0516908206,
            0.0509612709,
            0.0502317213,
            0.0495021716,
            0.0487726219,
            0.0480430722,
            0.0473135225,
            0.0465839729,
            0.0458544232,
            0.0451248735,
            0.0443953238,
            0.0436657742,
            0.0429362245,
            0.0422066748,
            0.0414771251,
            0.0407475755,
            0.0400180258,
            0.0392884761,
            0.0385589264,
            0.0378293768,
            0.0369447283,
            0.035485629,
            0.0340265296,
            0.0325674303,
            0.0311083309,
            0.0296492316,
            0.0281901322,
            0.0267310329,
            0.0252719335,
            0.0238128342,
            0.0223537348,
            0.0208946355,
            0.019435538,
            0.0179764386,
            0.0165173393,
            0.0150582399,
            0.0135780778,
            0.0118757952,
            0.0101735126,
            0.00847123004,
            0.00676894793,
            0.00506666582,
            0.00336438324,
            0.00166210067,
            -4.01819125e-5,
            -0.00174246356,
            -0.00344474614,
            -0.00514702871,
            -0.00684931129,
            -0.00855159387,
            -0.0102538764,
            -0.011956159,
            -0.0136584397,
            -0.015127114,
            -0.0165862124,
            -0.0180453118,
            -0.0195044111,
            -0.0209635105,
            -0.0224226099,
            -0.0238817092,
            -0.0253408086,
            -0.026799906,
            -0.0282590054,
            -0.0297181047,
            -0.0311772041,
            -0.0326363035,
            -0.0340954028,
            -0.0355545022,
            -0.0370136015,
            -0.0378637835,
            -0.0385933332,
            -0.0393228829,
            -0.0400524326,
            -0.0407819822,
            -0.0415115319,
            -0.0422410816,
            -0.0429706313,
            -0.0437001809,
            -0.0444297306,
            -0.0451592803,
            -0.04588883,
            -0.0466183797,
            -0.0473479293,
            -0.048077479,
            -0.0488070287,
            -0.0495365784,
            -0.050266128,
            -0.0509956777,
            -0.0517252274,
            -0.0524547771,
            -0.0531843267,
            -0.0539138764,
            -0.0546434261,
            -0.0553729758,
            -0.0561025254,
            -0.0568320751,
            -0.0575616248,
            -0.0582911745,
            -0.0590207241,
            -0.0597502738,
            -0.0604798235,
            -0.0617761612,
            -0.06347844,
            -0.0651807263,
            -0.0668830052,
            -0.0685852915,
            -0.0702875704,
            -0.0719898567,
            -0.0736921355,
            -0.0753944218,
            -0.0770967007,
            -0.078798987,
            -0.0805012658,
            -0.0822035521,
            -0.083905831,
            -0.0856081173,
            -0.0873103961,
            -0.0885684416,
            -0.0892979875,
            -0.0900275409,
            -0.0907570869,
            -0.0914866403,
            -0.0922161862,
            -0.0929457396,
            -0.0936752856,
            -0.094404839,
            -0.0951343849,
            -0.0958639383,
            -0.0965934843,
            -0.0973230302,
            -0.0980525836,
            -0.098782137,
            -0.099511683,
            -0.100241229,
            -0.100970782,
            -0.101700328,
            -0.102429874,
            -0.10315942,
            -0.103888974,
            -0.10461852,
            -0.105348065,
            -0.106077611,
            -0.106807165,
            -0.107536711,
            -0.108266257,
            -0.108995803,
            -0.109725356,
            -0.110454902,
            -0.111184448,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111822084,
            -0.112551637,
            -0.11328119,
            -0.114010736,
            -0.11474029,
            -0.115469843,
            -0.116199397,
            -0.116928943,
            -0.117658496,
            -0.118388049,
            -0.119117603,
            -0.119847149,
            -0.120576702,
            -0.121306255,
            -0.122035801,
            -0.122765355,
            -0.123494908,
            -0.124456152,
            -0.125428885,
            -0.126401618,
            -0.127374351,
            -0.128347099,
            -0.129319832,
            -0.130292565,
            -0.131265298,
            -0.13223803,
            -0.133210763,
            -0.134183496,
            -0.135156229,
            -0.136128962,
            -0.13710171,
            -0.138074443,
            -0.139047176,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139635026,
            -0.140364572,
            -0.141094118,
            -0.141823679,
            -0.142553225,
            -0.143282771,
            -0.144012317,
            -0.144741878,
            -0.145471424,
            -0.14620097,
            -0.146930516,
            -0.147660077,
            -0.148389623,
            -0.149119169,
            -0.149848714,
            -0.150578275,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150744855,
            -0.150015309,
            -0.149285764,
            -0.148556218,
            -0.147826657,
            -0.147097111,
            -0.146367565,
            -0.145638019,
            -0.144908458,
            -0.144178912,
            -0.143449366,
            -0.14271982,
            -0.141990259,
            -0.141260713,
            -0.140531167,
            -0.139801621,
            -0.139024198,
            -0.138051465,
            -0.137078732,
            -0.136105984,
            -0.135133252,
            -0.134160519,
            -0.133187786,
            -0.132215053,
            -0.13124232,
            -0.130269587,
            -0.129296854,
            -0.128324121,
            -0.127351373,
            -0.126378641,
            -0.125405908,
            -0.124433175,
            -0.123598307,
            -0.12457104,
            -0.125543773,
            -0.126516506,
            -0.127489254,
            -0.128461987,
            -0.12943472,
            -0.130407453,
            -0.131380185,
            -0.132352918,
            -0.133325651,
            -0.134298384,
            -0.135271132,
            -0.136243865,
            -0.137216598,
            -0.138189331,
            -0.139162064,
            -0.139905021,
            -0.140634567,
            -0.141364112,
            -0.142093658,
            -0.142823219,
            -0.143552765,
            -0.144282311,
            -0.145011857,
            -0.145741418,
            -0.146470964,
            -0.14720051,
            -0.147930056,
            -0.148659617,
            -0.149389163,
            -0.150118709,
            -0.150848255,
            -0.151577815,
            -0.152307361,
            -0.153036907,
            -0.153766453,
            -0.154496014,
            -0.15522556,
            -0.155955106,
            -0.156684652,
            -0.157414213,
            -0.158143759,
            -0.158873305,
            -0.159602851,
            -0.160332412,
            -0.161061957,
            -0.161791503,
            -0.162521049,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162331492,
            -0.161601931,
            -0.160872385,
            -0.160142839,
            -0.159413293,
            -0.158683732,
            -0.157954186,
            -0.15722464,
            -0.156495094,
            -0.155765533,
            -0.155035987,
            -0.154306442,
            -0.153576896,
            -0.152847335,
            -0.152117789,
            -0.151388243,
            -0.150658697,
            -0.149929136,
            -0.14919959,
            -0.148470044,
            -0.147740498,
            -0.147010937,
            -0.146281391,
            -0.145551845,
            -0.144822299,
            -0.144092739,
            -0.143363193,
            -0.142633647,
            -0.141904101,
            -0.141174555,
            -0.140444994,
            -0.139715448,
            -0.13890931,
            -0.137936577,
            -0.136963829,
            -0.135991096,
            -0.135018364,
            -0.134045631,
            -0.133072898,
            -0.132100165,
            -0.131127432,
            -0.130154699,
            -0.129181951,
            -0.128209218,
            -0.127236485,
            -0.126263753,
            -0.12529102,
            -0.124318287,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123483419,
            -0.122753866,
            -0.122024313,
            -0.121294767,
            -0.120565213,
            -0.11983566,
            -0.119106114,
            -0.118376561,
            -0.117647007,
            -0.116917454,
            -0.1161879,
            -0.115458354,
            -0.114728801,
            -0.113999248,
            -0.113269702,
            -0.112540148,
            -0.111810595,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11235632,
            -0.113085873,
            -0.113815427,
            -0.11454498,
            -0.115274526,
            -0.11600408,
            -0.116733633,
            -0.117463186,
            -0.118192732,
            -0.118922286,
            -0.119651839,
            -0.120381385,
            -0.121110938,
            -0.121840492,
            -0.122570045,
            -0.123299599,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123213425,
            -0.122483879,
            -0.121754326,
            -0.121024773,
            -0.120295219,
            -0.119565673,
            -0.11883612,
            -0.118106566,
            -0.117377013,
            -0.116647467,
            -0.115917914,
            -0.11518836,
            -0.114458807,
            -0.113729261,
            -0.112999707,
            -0.112270154,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111086793,
            -0.110357247,
            -0.109627694,
            -0.108898148,
            -0.108168602,
            -0.107439056,
            -0.106709503,
            -0.105979957,
            -0.105250411,
            -0.104520865,
            -0.103791311,
            -0.103061765,
            -0.102332219,
            -0.101602674,
            -0.100873128,
            -0.100143574,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.10040208,
            -0.101131625,
            -0.101861171,
            -0.102590717,
            -0.103320271,
            -0.104049817,
            -0.104779363,
            -0.105508909,
            -0.106238462,
            -0.106968008,
            -0.107697554,
            -0.1084271,
            -0.109156653,
            -0.109886199,
            -0.110615745,
            -0.111345291,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111546353,
            -0.110816799,
            -0.110087253,
            -0.109357707,
            -0.108628161,
            -0.107898608,
            -0.107169062,
            -0.106439516,
            -0.10570997,
            -0.104980417,
            -0.104250871,
            -0.103521325,
            -0.102791779,
            -0.102062225,
            -0.101332679,
            -0.100603133,
            -0.0998735875,
            -0.0991440341,
            -0.0984144881,
            -0.0976849347,
            -0.0969553888,
            -0.0962258354,
            -0.0954962894,
            -0.094766736,
            -0.0940371901,
            -0.0933076367,
            -0.0925780907,
            -0.0918485373,
            -0.0911189914,
            -0.090389438,
            -0.089659892,
            -0.0889303386,
            -0.0881548375,
            -0.0864525512,
            -0.0847502723,
            -0.083047986,
            -0.0813457072,
            -0.0796434283,
            -0.077941142,
            -0.0762388557,
            -0.0745365769,
            -0.072834298,
            -0.0711320117,
            -0.0694297329,
            -0.0677274466,
            -0.0660251677,
            -0.0643228814,
            -0.0626206025,
            -0.0609183162,
            -0.0594400689,
            -0.0579809733,
            -0.0565218739,
            -0.0550627746,
            -0.0536036752,
            -0.0521445759,
            -0.0506854765,
            -0.0492263772,
            -0.0477672778,
            -0.0463081785,
            -0.0448490791,
            -0.0433899797,
            -0.0419308804,
            -0.040471781,
            -0.0390126817,
            -0.0375535823,
            -0.036094483,
            -0.0346353836,
            -0.0331762843,
            -0.0317171849,
            -0.0302580874,
            -0.0287989881,
            -0.0273398887,
            -0.0258807894,
            -0.0244216919,
            -0.0229625925,
            -0.0215034913,
            -0.0200443938,
            -0.0185852945,
            -0.0171261951,
            -0.0156670958,
            -0.0142079964,
            -0.0130744176,
            -0.0121016856,
            -0.0111289527,
            -0.0101562198,
            -0.00918348692,
            -0.00821075402,
            -0.00723802112,
            -0.00626528822,
            -0.00529255532,
            -0.00431982242,
            -0.00334709045,
            -0.00237435754,
            -0.00140162464,
            -0.000428891741,
            0.000543841161,
            0.00151657406,
            0.00275355298,
            0.00421265233,
            0.00567175122,
            0.00713085057,
            0.00858994946,
            0.0100490488,
            0.0115081482,
            0.0129672475,
            0.0144263459,
            0.0158854462,
            0.0173445456,
            0.0188036431,
            0.0202627424,
            0.0217218418,
            0.0231809411,
            0.0246400405,
            0.0257946812,
            0.0265242308,
            0.0272537805,
            0.0279833302,
            0.0287128799,
            0.0294424295,
            0.0301719792,
            0.0309015289,
            0.0316310786,
            0.0323606282,
            0.0330901779,
            0.0338197276,
            0.0345492773,
            0.035278827,
            0.0360083766,
            0.0367379263,
            0.037467476,
            0.0381970257,
            0.0389265753,
            0.039656125,
            0.0403856747,
            0.0411152244,
            0.041844774,
            0.0425743237,
            0.0433038734,
            0.0440334231,
            0.0447629727,
            0.0454925224,
            0.0462220684,
            0.0469516218,
            0.0476811677,
            0.0484107211,
            0.0491402671,
            0.0498698168,
            0.0505993664,
            0.0513289161,
            0.0520584658,
            0.0527880155,
            0.0535175651,
            0.0542471148,
            0.0549766645,
            0.0557062142,
            0.0564357638,
            0.0571653135,
            0.0578948632,
            0.0586244129,
            0.0593539625,
            0.0600835122,
            0.0608226359,
            0.0617953688,
            0.0627681017,
            0.0637408346,
            0.0647135675,
            0.0656863004,
            0.0666590333,
            0.0676317662,
            0.0686044991,
            0.069577232,
            0.0705499649,
            0.0715226978,
            0.0724954307,
            0.0734681636,
            0.0744408965,
            0.0754136294,
            0.0763863623,
            0.0778033361,
            0.0792624354,
            0.0807215348,
            0.0821806341,
            0.0836397335,
            0.0850988328,
            0.0865579322,
            0.0880170316,
            0.0894761235,
            0.0909352303,
            0.0923943222,
            0.093853429,
            0.0953125209,
            0.0967716277,
            0.0982307196,
            0.0996898189,
            0.101148918,
            0.102608018,
            0.104067117,
            0.105526216,
            0.106985316,
            0.108444415,
            0.109903514,
            0.111362614,
            0.112821713,
            0.114280812,
            0.115739912,
            0.117199011,
            0.11865811,
            0.12011721,
            0.121576309,
            0.123035409,
            0.124655351,
            0.12635763,
            0.128059924,
            0.129762203,
            0.131464481,
            0.13316676,
            0.134869054,
            0.136571333,
            0.138273612,
            0.139975891,
            0.141678184,
            0.143380463,
            0.145082742,
            0.146785021,
            0.1484873,
            0.150189593,
            0.151371047,
            0.152100593,
            0.152830154,
            0.1535597,
            0.154289246,
            0.155018806,
            0.155748367,
            0.156477913,
            0.157207459,
            0.15793702,
            0.158666566,
            0.159396127,
            0.160125673,
            0.160855234,
            0.16158478,
            0.16231434,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.16322197,
            0.163951516,
            0.164681062,
            0.165410608,
            0.166140154,
            0.1668697,
            0.167599246,
            0.168328792,
            0.169058338,
            0.169787884,
            0.17051743,
            0.171246976,
            0.171976522,
            0.172706068,
            0.173435614,
            0.174165159,
            0.174894705,
            0.175624251,
            0.176353797,
            0.177083358,
            0.177812904,
            0.17854245,
            0.179271996,
            0.180001557,
            0.180731103,
            0.181460649,
            0.182190195,
            0.182919756,
            0.183649302,
            0.184378847,
            0.185108393,
            0.185837954,
            0.186665148,
            0.187637895,
            0.188610628,
            0.189583361,
            0.190556094,
            0.191528842,
            0.192501575,
            0.193474308,
            0.194447041,
            0.195419788,
            0.196392521,
            0.197365254,
            0.198337987,
            0.199310735,
            0.200283468,
            0.201256201,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201815337,
            0.200842604,
            0.199869856,
            0.198897123,
            0.19792439,
            0.196951658,
            0.19597891,
            0.195006177,
            0.194033444,
            0.193060711,
            0.192087963,
            0.19111523,
            0.190142497,
            0.189169765,
            0.188197017,
            0.187224284,
            0.186257288,
            0.185527742,
            0.184798196,
            0.18406865,
            0.183339089,
            0.182609543,
            0.181879997,
            0.181150451,
            0.180420905,
            0.179691344,
            0.178961799,
            0.178232253,
            0.177502707,
            0.176773146,
            0.1760436,
            0.175314054,
            0.174584508,
            0.173854962,
            0.173125416,
            0.17239587,
            0.171666324,
            0.170936778,
            0.170207232,
            0.169477686,
            0.16874814,
            0.168018594,
            0.167289048,
            0.166559502,
            0.165829957,
            0.165100411,
            0.164370865,
            0.163641319,
            0.162911773,
            0.162182212,
            0.161452666,
            0.160723105,
            0.159993559,
            0.159263998,
            0.158534452,
            0.157804891,
            0.157075346,
            0.156345785,
            0.155616239,
            0.154886678,
            0.154157132,
            0.153427571,
            0.152698025,
            0.151968464,
            0.151238918,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150601283,
            0.149871722,
            0.149142176,
            0.14841263,
            0.147683084,
            0.146953523,
            0.146223977,
            0.145494431,
            0.144764885,
            0.144035324,
            0.143305779,
            0.142576233,
            0.141846687,
            0.141117126,
            0.14038758,
            0.139658034,
            0.138832748,
            0.137860015,
            0.136887282,
            0.135914549,
            0.134941816,
            0.133969083,
            0.132996351,
            0.132023618,
            0.131050885,
            0.130078152,
            0.129105419,
            0.128132686,
            0.127159953,
            0.12618722,
            0.125214487,
            0.124241754,
            0.123334125,
            0.122604571,
            0.121875025,
            0.121145472,
            0.120415926,
            0.119686373,
            0.118956827,
            0.118227273,
            0.117497727,
            0.116768174,
            0.116038628,
            0.115309075,
            0.114579529,
            0.113849975,
            0.113120429,
            0.112390876,
            0.11166133,
            0.110931776,
            0.110202231,
            0.109472677,
            0.108743131,
            0.108013578,
            0.107284032,
            0.106554478,
            0.105824932,
            0.105095379,
            0.104365833,
            0.10363628,
            0.102906734,
            0.102177188,
            0.101447634,
            0.100718081,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100557238,
            0.101286791,
            0.102016337,
            0.102745891,
            0.103475437,
            0.10420499,
            0.104934536,
            0.105664089,
            0.106393635,
            0.107123181,
            0.107852735,
            0.108582288,
            0.109311834,
            0.11004138,
            0.110770933,
            0.111500487,
            0.112230033,
            0.112959579,
            0.113689132,
            0.114418678,
            0.115148231,
            0.115877777,
            0.116607331,
            0.117336877,
            0.11806643,
            0.118795976,
            0.119525529,
            0.120255075,
            0.120984629,
            0.121714175,
            0.122443728,
            0.123173274,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123782195,
            0.124754921,
            0.125727654,
            0.126700386,
            0.127673119,
            0.128645852,
            0.129618585,
            0.130591318,
            0.131564051,
            0.132536784,
            0.133509517,
            0.13448225,
            0.135454983,
            0.136427715,
            0.137400448,
            0.138373181,
            0.13931337,
            0.140042916,
            0.140772462,
            0.141502008,
            0.142231569,
            0.142961115,
            0.143690661,
            0.144420207,
            0.145149767,
            0.145879313,
            0.146608859,
            0.147338405,
            0.148067951,
            0.148797512,
            0.149527058,
            0.150256604,
            0.150986165,
            0.151715711,
            0.152445257,
            0.153174818,
            0.153904364,
            0.154633924,
            0.15536347,
            0.156093031,
            0.156822577,
            0.157552138,
            0.158281684,
            0.159011245,
            0.159740791,
            0.160470352,
            0.161199898,
            0.161929458,
            0.162659004,
            0.16338855,
            0.164118096,
            0.164847642,
            0.165577188,
            0.166306734,
            0.16703628,
            0.167765826,
            0.168495372,
            0.169224918,
            0.169954464,
            0.17068401,
            0.171413556,
            0.172143102,
            0.172872648,
            0.173602194,
            0.17433174,
            0.1750613,
            0.175790846,
            0.176520392,
            0.177249938,
            0.177979499,
            0.178709045,
            0.179438591,
            0.180168137,
            0.180897683,
            0.181627244,
            0.18235679,
            0.183086336,
            0.183815897,
            0.184545442,
            0.185274988,
            0.186004534,
            0.186887279,
            0.187860012,
            0.188832745,
            0.189805478,
            0.190778226,
            0.191750959,
            0.192723691,
            0.193696424,
            0.194669172,
            0.195641905,
            0.196614638,
            0.197587371,
            0.198560119,
            0.199532852,
            0.200505584,
            0.201478317,
            0.202328503,
            0.203058049,
            0.203787595,
            0.204517141,
            0.205246687,
            0.205976233,
            0.206705779,
            0.207435325,
            0.208164871,
            0.208894417,
            0.209623963,
            0.210353509,
            0.211083055,
            0.2118126,
            0.212542146,
            0.213271692,
            0.214276984,
            0.215736076,
            0.217195183,
            0.218654275,
            0.220113367,
            0.221572474,
            0.22303158,
            0.224490672,
            0.225949764,
            0.227408871,
            0.228867963,
            0.23032707,
            0.231786162,
            0.233245268,
            0.23470436,
            0.236163467,
            0.237438738,
            0.238168284,
            0.238897845,
            0.239627391,
            0.240356937,
            0.241086483,
            0.241816044,
            0.24254559,
            0.243275136,
            0.244004682,
            0.244734243,
            0.245463789,
            0.246193334,
            0.24692288,
            0.247652441,
            0.248381987,
            0.249111533,
            0.249841094,
            0.250570655,
            0.251300186,
            0.252029747,
            0.252759308,
            0.253488868,
            0.2542184,
            0.25494796,
            0.255677521,
            0.256407082,
            0.257136613,
            0.257866174,
            0.258595735,
            0.259325266,
            0.260054827
          ],
          [
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288781106,
            0.289510638,
            0.290240198,
            0.290969729,
            0.29169929,
            0.292428851,
            0.293158382,
            0.293887943,
            0.294617474,
            0.295347035,
            0.296076596,
            0.296806127,
            0.297535688,
            0.298265249,
            0.29899478,
            0.29972434,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300361961,
            0.301091522,
            0.301821083,
            0.302550614,
            0.303280175,
            0.304009736,
            0.304739267,
            0.305468827,
            0.306198359,
            0.306927919,
            0.30765748,
            0.308387011,
            0.309116572,
            0.309846133,
            0.310575664,
            0.311305225,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311942846,
            0.312672406,
            0.313401967,
            0.314131498,
            0.314861059,
            0.31559059,
            0.316320151,
            0.317049712,
            0.317779243,
            0.318508804,
            0.319238365,
            0.319967896,
            0.320697457,
            0.321426988,
            0.322156549,
            0.322886109,
            0.32364437,
            0.324617118,
            0.325589836,
            0.326562583,
            0.327535301,
            0.328508049,
            0.329480767,
            0.330453515,
            0.331426233,
            0.332398981,
            0.333371699,
            0.334344447,
            0.335317165,
            0.336289883,
            0.33726263,
            0.338235378,
            0.339208096,
            0.340663373,
            0.342122465,
            0.343581557,
            0.345040649,
            0.346499771,
            0.347958863,
            0.349417955,
            0.350877047,
            0.352336168,
            0.35379526,
            0.355254352,
            0.356713444,
            0.358172566,
            0.359631658,
            0.36109075,
            0.362549841,
            0.364008963,
            0.365468055,
            0.366927147,
            0.368386239,
            0.369845361,
            0.371304452,
            0.372763544,
            0.374222636,
            0.375681758,
            0.37714085,
            0.378599942,
            0.380059034,
            0.381518155,
            0.382977247,
            0.384436339,
            0.385895431,
            0.386994541,
            0.387967288,
            0.388940006,
            0.389912754,
            0.390885472,
            0.39185822,
            0.392830938,
            0.393803686,
            0.394776404,
            0.395749152,
            0.39672187,
            0.397694618,
            0.398667336,
            0.399640083,
            0.400612801,
            0.401585549,
            0.402408928,
            0.403138459,
            0.40386802,
            0.404597551,
            0.405327111,
            0.406056643,
            0.406786203,
            0.407515734,
            0.408245295,
            0.408974826,
            0.409704387,
            0.410433918,
            0.411163479,
            0.41189301,
            0.412622571,
            0.413352102,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413989753,
            0.414719284,
            0.415448844,
            0.416178405,
            0.416907966,
            0.417637497,
            0.418367058,
            0.419096619,
            0.41982618,
            0.420555711,
            0.421285272,
            0.422014832,
            0.422744393,
            0.423473924,
            0.424203485,
            0.424933046,
            0.425317913,
            0.424588382,
            0.423858821,
            0.423129261,
            0.4223997,
            0.421670169,
            0.420940608,
            0.420211047,
            0.419481486,
            0.418751955,
            0.418022394,
            0.417292833,
            0.416563272,
            0.415833741,
            0.415104181,
            0.41437462,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413007438,
            0.412277907,
            0.411548346,
            0.410818815,
            0.410089254,
            0.409359723,
            0.408630162,
            0.407900631,
            0.407171071,
            0.40644154,
            0.405711979,
            0.404982448,
            0.404252887,
            0.403523356,
            0.402793795,
            0.402064264,
            0.401125997,
            0.40015325,
            0.399180532,
            0.398207784,
            0.397235066,
            0.396262318,
            0.3952896,
            0.394316852,
            0.393344134,
            0.392371386,
            0.391398668,
            0.39042592,
            0.389453202,
            0.388480455,
            0.387507737,
            0.386534989,
            0.38574034,
            0.385010779,
            0.384281248,
            0.383551687,
            0.382822126,
            0.382092595,
            0.381363034,
            0.380633503,
            0.379903942,
            0.379174381,
            0.37844485,
            0.37771529,
            0.376985729,
            0.376256198,
            0.375526637,
            0.374797106,
            0.374067545,
            0.373337984,
            0.372608453,
            0.371878892,
            0.371149361,
            0.3704198,
            0.369690239,
            0.368960708,
            0.368231148,
            0.367501587,
            0.366772056,
            0.366042495,
            0.365312964,
            0.364583403,
            0.363853842,
            0.363124311,
            0.36239475,
            0.361665189,
            0.360935658,
            0.360206097,
            0.359476566,
            0.358747005,
            0.358017445,
            0.357287914,
            0.356558353,
            0.355828792,
            0.355099261,
            0.3543697,
            0.353640169,
            0.352910608,
            0.352181047,
            0.351451516,
            0.350377291,
            0.348675013,
            0.346972734,
            0.345270455,
            0.343568146,
            0.341865867,
            0.340163589,
            0.33846131,
            0.336759031,
            0.335056752,
            0.333354473,
            0.331652194,
            0.329949915,
            0.328247607,
            0.326545328,
            0.324843049,
            0.323196292,
            0.3217372,
            0.320278108,
            0.318819016,
            0.317359895,
            0.315900803,
            0.314441711,
            0.312982619,
            0.311523497,
            0.310064405,
            0.308605313,
            0.307146221,
            0.3056871,
            0.304228008,
            0.302768916,
            0.301309824,
            0.299925387,
            0.299195856,
            0.298466295,
            0.297736734,
            0.297007203,
            0.296277642,
            0.295548081,
            0.29481855,
            0.294088989,
            0.293359458,
            0.292629898,
            0.291900337,
            0.291170806,
            0.290441245,
            0.289711714,
            0.288982153,
            0.288252592,
            0.287523061,
            0.2867935,
            0.286063969,
            0.285334408,
            0.284604877,
            0.283875316,
            0.283145785,
            0.282416224,
            0.281686693,
            0.280957133,
            0.280227602,
            0.279498041,
            0.27876851,
            0.278038949,
            0.277309418,
            0.276579857,
            0.275643498,
            0.27467078,
            0.273698032,
            0.272725314,
            0.271752566,
            0.270779818,
            0.2698071,
            0.268834352,
            0.267861605,
            0.266888887,
            0.265916139,
            0.264943421,
            0.263970673,
            0.262997925,
            0.262025207,
            0.261052459,
            0.259727389,
            0.258268297,
            0.256809205,
            0.255350083,
            0.253890991,
            0.252431899,
            0.250972778,
            0.249513686,
            0.248054579,
            0.246595472,
            0.245136365,
            0.243677273,
            0.242218167,
            0.24075906,
            0.239299953,
            0.237840861,
            0.236818343,
            0.236088783,
            0.235359237,
            0.234629691,
            0.233900145,
            0.233170584,
            0.232441038,
            0.231711492,
            0.230981946,
            0.230252385,
            0.229522839,
            0.228793293,
            0.228063747,
            0.227334186,
            0.22660464,
            0.225875095,
            0.22480087,
            0.223341778,
            0.221882686,
            0.220423594,
            0.218964487,
            0.217505395,
            0.216046304,
            0.214587212,
            0.21312812,
            0.211669013,
            0.210209921,
            0.208750829,
            0.207291722,
            0.20583263,
            0.204373538,
            0.202914447,
            0.201371089,
            0.19966881,
            0.197966516,
            0.196264237,
            0.194561943,
            0.192859665,
            0.191157371,
            0.189455092,
            0.187752798,
            0.186050519,
            0.184348226,
            0.182645947,
            0.180943668,
            0.179241374,
            0.17753908,
            0.175836802,
            0.17434898,
            0.173619434,
            0.172889888,
            0.172160342,
            0.171430796,
            0.17070125,
            0.169971704,
            0.169242159,
            0.168512613,
            0.167783067,
            0.167053521,
            0.166323975,
            0.165594429,
            0.164864883,
            0.164135337,
            0.163405791,
            0.162607312,
            0.161148205,
            0.159689099,
            0.158230007,
            0.1567709,
            0.155311793,
            0.153852686,
            0.152393594,
            0.150934488,
            0.149475381,
            0.148016274,
            0.146557182,
            0.145098075,
            0.143638968,
            0.142179877,
            0.14072077,
            0.139261663,
            0.138273612,
            0.137300879,
            0.136328146,
            0.135355413,
            0.13438268,
            0.133409947,
            0.132437214,
            0.131464481,
            0.130491748,
            0.129519016,
            0.128546283,
            0.12757355,
            0.126600817,
            0.125628084,
            0.124655351,
            0.123682618,
            0.122300118,
            0.120841011,
            0.11938192,
            0.11792282,
            0.116463721,
            0.115004621,
            0.113545522,
            0.112086423,
            0.110627323,
            0.109168224,
            0.107709125,
            0.106250025,
            0.104790926,
            0.103331827,
            0.101872727,
            0.100413628,
            0.0989545286,
            0.0974954292,
            0.0960363299,
            0.0945772305,
            0.0931181312,
            0.0916590318,
            0.0901999325,
            0.0887408331,
            0.0872817338,
            0.0858226344,
            0.084363535,
            0.0829044357,
            0.0814453363,
            0.079986237,
            0.0785271376,
            0.0770680383,
            0.0758961663,
            0.0749234334,
            0.0739507005,
            0.0729779676,
            0.0720052347,
            0.0710325018,
            0.0700597689,
            0.069087036,
            0.0681143031,
            0.0671415702,
            0.0661688372,
            0.0651961043,
            0.0642233714,
            0.0632506385,
            0.0622779056,
            0.0613051727,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0605373271,
            0.0598077774,
            0.0590782277,
            0.0583486781,
            0.0576191284,
            0.0568895787,
            0.056160029,
            0.0554304793,
            0.0547009297,
            0.05397138,
            0.0532418303,
            0.0525122806,
            0.051782731,
            0.0510531813,
            0.0503236316,
            0.0495940819,
            0.0487094335,
            0.0472503342,
            0.0457912348,
            0.0443321355,
            0.0428730361,
            0.0414139368,
            0.0399548374,
            0.0384957381,
            0.0370366387,
            0.0355775394,
            0.03411844,
            0.0326593406,
            0.0312002432,
            0.0297411438,
            0.0282820445,
            0.0268229451,
            0.0253638458,
            0.0239047464,
            0.022445647,
            0.0209865477,
            0.0195274483,
            0.0180683509,
            0.0166092515,
            0.0151501512,
            0.0136910519,
            0.0122319534,
            0.0107728541,
            0.00931375474,
            0.00785465539,
            0.00639555603,
            0.00493645668,
            0.00347735733,
            0.00201825798,
            0.000325550558,
            -0.00137673179,
            -0.0030790139,
            -0.00478129648,
            -0.00648357905,
            -0.00818586163,
            -0.00988814328,
            -0.0115904259,
            -0.0132927084,
            -0.0149949901,
            -0.0166972727,
            -0.0183995552,
            -0.0201018378,
            -0.0218041204,
            -0.023506403,
            -0.0252086855,
            -0.0260990802,
            -0.0268286299,
            -0.0275581796,
            -0.0282877292,
            -0.0290172789,
            -0.0297468286,
            -0.0304763783,
            -0.031205928,
            -0.0319354758,
            -0.0326650254,
            -0.0333945751,
            -0.0341241248,
            -0.0348536745,
            -0.0355832241,
            -0.0363127738,
            -0.0370423235,
            -0.0382888764,
            -0.0397479758,
            -0.0412070751,
            -0.0426661745,
            -0.0441252738,
            -0.0455843732,
            -0.0470434725,
            -0.0485025719,
            -0.0499616712,
            -0.0514207706,
            -0.0528798699,
            -0.0543389693,
            -0.0557980686,
            -0.057257168,
            -0.0587162673,
            -0.0601753667,
            -0.0613510683,
            -0.0623238012,
            -0.0632965341,
            -0.064269267,
            -0.0652419999,
            -0.0662147328,
            -0.0671874657,
            -0.0681601986,
            -0.0691329315,
            -0.0701056644,
            -0.0710783973,
            -0.0720511302,
            -0.0730238631,
            -0.073996596,
            -0.0749693289,
            -0.0759420618,
            -0.0768037364,
            -0.0775332823,
            -0.0782628357,
            -0.0789923817,
            -0.0797219351,
            -0.080451481,
            -0.0811810344,
            -0.0819105804,
            -0.0826401338,
            -0.0833696797,
            -0.0840992332,
            -0.0848287791,
            -0.0855583251,
            -0.0862878785,
            -0.0870174319,
            -0.0877469778,
            -0.0887177959,
            -0.0901768953,
            -0.0916359872,
            -0.0930950865,
            -0.0945541859,
            -0.0960132852,
            -0.0974723771,
            -0.0989314765,
            -0.100390576,
            -0.101849675,
            -0.103308767,
            -0.104767866,
            -0.106226966,
            -0.107686058,
            -0.109145157,
            -0.110604256,
            -0.111913994,
            -0.112643547,
            -0.113373101,
            -0.114102654,
            -0.1148322,
            -0.115561754,
            -0.116291307,
            -0.11702086,
            -0.117750406,
            -0.11847996,
            -0.119209513,
            -0.119939059,
            -0.120668612,
            -0.121398166,
            -0.122127719,
            -0.122857265,
            -0.123605967,
            -0.124578699,
            -0.125551432,
            -0.126524165,
            -0.127496913,
            -0.128469646,
            -0.129442379,
            -0.130415112,
            -0.131387845,
            -0.132360578,
            -0.13333331,
            -0.134306043,
            -0.135278791,
            -0.136251524,
            -0.137224257,
            -0.13819699,
            -0.139169723,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139818847,
            -0.140548393,
            -0.141277954,
            -0.1420075,
            -0.142737046,
            -0.143466592,
            -0.144196153,
            -0.144925699,
            -0.145655245,
            -0.146384791,
            -0.147114351,
            -0.147843897,
            -0.148573443,
            -0.149302989,
            -0.15003255,
            -0.150762096,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.151399732,
            -0.152129278,
            -0.152858824,
            -0.153588384,
            -0.15431793,
            -0.155047476,
            -0.155777022,
            -0.156506583,
            -0.157236129,
            -0.157965675,
            -0.158695221,
            -0.159424782,
            -0.160154328,
            -0.160883874,
            -0.16161342,
            -0.162342981,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162509561,
            -0.161780015,
            -0.161050469,
            -0.160320923,
            -0.159591362,
            -0.158861816,
            -0.15813227,
            -0.157402724,
            -0.156673163,
            -0.155943617,
            -0.155214071,
            -0.154484525,
            -0.153754964,
            -0.153025419,
            -0.152295873,
            -0.151566327,
            -0.150836766,
            -0.15010722,
            -0.149377674,
            -0.148648128,
            -0.147918567,
            -0.147189021,
            -0.146459475,
            -0.145729929,
            -0.145000368,
            -0.144270822,
            -0.143541276,
            -0.142811731,
            -0.14208217,
            -0.141352624,
            -0.140623078,
            -0.139893532,
            -0.139267385,
            -0.139996931,
            -0.140726477,
            -0.141456023,
            -0.142185584,
            -0.14291513,
            -0.143644676,
            -0.144374222,
            -0.145103782,
            -0.145833328,
            -0.146562874,
            -0.14729242,
            -0.148021966,
            -0.148751527,
            -0.149481073,
            -0.150210619,
            -0.150940165,
            -0.151669726,
            -0.152399272,
            -0.153128818,
            -0.153858364,
            -0.154587924,
            -0.15531747,
            -0.156047016,
            -0.156776562,
            -0.157506123,
            -0.158235669,
            -0.158965215,
            -0.159694761,
            -0.160424322,
            -0.161153868,
            -0.161883414,
            -0.16261296,
            -0.163342521,
            -0.164072067,
            -0.164801612,
            -0.165531158,
            -0.166260719,
            -0.166990265,
            -0.167719811,
            -0.168449357,
            -0.169178918,
            -0.169908464,
            -0.17063801,
            -0.171367556,
            -0.172097117,
            -0.172826663,
            -0.173556209,
            -0.174285755,
            -0.175015315,
            -0.175744861,
            -0.176474407,
            -0.177203953,
            -0.177933514,
            -0.17866306,
            -0.179392606,
            -0.180122152,
            -0.180851698,
            -0.181581259,
            -0.182310805,
            -0.183040351,
            -0.183769897,
            -0.184499457,
            -0.185229003,
            -0.185958549,
            -0.185860902,
            -0.185131341,
            -0.184401795,
            -0.183672249,
            -0.182942703,
            -0.182213143,
            -0.181483597,
            -0.180754051,
            -0.180024505,
            -0.179294944,
            -0.178565398,
            -0.177835852,
            -0.177106306,
            -0.176376745,
            -0.175647199,
            -0.174917653,
            -0.174188107,
            -0.173458546,
            -0.172729,
            -0.171999454,
            -0.171269909,
            -0.170540348,
            -0.169810802,
            -0.169081256,
            -0.16835171,
            -0.167622149,
            -0.166892603,
            -0.166163057,
            -0.165433511,
            -0.164703965,
            -0.163974404,
            -0.163244858,
            -0.162515312,
            -0.161785766,
            -0.161056206,
            -0.16032666,
            -0.159597114,
            -0.158867568,
            -0.158138007,
            -0.157408461,
            -0.156678915,
            -0.155949369,
            -0.155219808,
            -0.154490262,
            -0.153760716,
            -0.15303117,
            -0.15230161,
            -0.151572064,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.151572064,
            -0.15230161,
            -0.15303117,
            -0.153760716,
            -0.154490262,
            -0.155219808,
            -0.155949369,
            -0.156678915,
            -0.157408461,
            -0.158138007,
            -0.158867568,
            -0.159597114,
            -0.16032666,
            -0.161056206,
            -0.161785752,
            -0.162515312,
            -0.162245318,
            -0.161515772,
            -0.160786211,
            -0.160056666,
            -0.15932712,
            -0.158597574,
            -0.157868028,
            -0.157138467,
            -0.156408921,
            -0.155679375,
            -0.154949829,
            -0.154220268,
            -0.153490722,
            -0.152761176,
            -0.15203163,
            -0.151302069,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150848255,
            -0.150118709,
            -0.149389163,
            -0.148659617,
            -0.147930056,
            -0.14720051,
            -0.146470964,
            -0.145741418,
            -0.145011857,
            -0.144282311,
            -0.143552765,
            -0.142823219,
            -0.142093658,
            -0.141364112,
            -0.140634567,
            -0.139905021,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.138311878,
            -0.137339145,
            -0.136366412,
            -0.135393679,
            -0.134420931,
            -0.133448198,
            -0.132475466,
            -0.131502733,
            -0.13053,
            -0.129557267,
            -0.128584534,
            -0.127611801,
            -0.126639068,
            -0.12566632,
            -0.124693595,
            -0.123720855,
            -0.122943439,
            -0.122213885,
            -0.121484332,
            -0.120754778,
            -0.120025232,
            -0.119295679,
            -0.118566126,
            -0.117836572,
            -0.117107026,
            -0.116377473,
            -0.115647919,
            -0.114918366,
            -0.11418882,
            -0.113459267,
            -0.112729713,
            -0.112000167,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.112166755,
            -0.112896308,
            -0.113625854,
            -0.114355408,
            -0.115084961,
            -0.115814514,
            -0.11654406,
            -0.117273614,
            -0.118003167,
            -0.118732721,
            -0.119462267,
            -0.12019182,
            -0.120921373,
            -0.121650919,
            -0.122380473,
            -0.123110026,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.12331108,
            -0.122581534,
            -0.121851981,
            -0.121122427,
            -0.120392881,
            -0.119663328,
            -0.118933775,
            -0.118204221,
            -0.117474675,
            -0.116745122,
            -0.116015568,
            -0.115286015,
            -0.114556469,
            -0.113826916,
            -0.113097362,
            -0.112367809,
            -0.111638263,
            -0.110908717,
            -0.110179164,
            -0.109449618,
            -0.108720072,
            -0.107990526,
            -0.107260972,
            -0.106531426,
            -0.10580188,
            -0.105072334,
            -0.104342781,
            -0.103613235,
            -0.102883689,
            -0.102154143,
            -0.10142459,
            -0.100695044,
            -0.0999310315,
            -0.0984719321,
            -0.0970128328,
            -0.0955537334,
            -0.0940946341,
            -0.0926355347,
            -0.0911764354,
            -0.089717336,
            -0.0882582366,
            -0.0867991373,
            -0.0853400379,
            -0.0838809386,
            -0.0824218392,
            -0.0809627399,
            -0.0795036405,
            -0.0780445412,
            -0.0765854418,
            -0.074902311,
            -0.0732000247,
            -0.0714977458,
            -0.0697954595,
            -0.0680931807,
            -0.0663909018,
            -0.0646886155,
            -0.0629863292,
            -0.0612840503,
            -0.0595817678,
            -0.0578794852,
            -0.0561772026,
            -0.05447492,
            -0.0527726412,
            -0.0510703549,
            -0.049368076,
            -0.0478591882,
            -0.0464000888,
            -0.0449409895,
            -0.0434818901,
            -0.0420227945,
            -0.0405636951,
            -0.0391045958,
            -0.0376454964,
            -0.0361863971,
            -0.0347272977,
            -0.0332681984,
            -0.031809099,
            -0.0303499997,
            -0.0288909003,
            -0.027431801,
            -0.0259727016,
            -0.0250018835,
            -0.0242723338,
            -0.0235427842,
            -0.0228132345,
            -0.0220836848,
            -0.0213541351,
            -0.0206245854,
            -0.0198950358,
            -0.0191654861,
            -0.0184359364,
            -0.0177063867,
            -0.0169768371,
            -0.0162472874,
            -0.0155177386,
            -0.014788189,
            -0.0140586393,
            -0.0128005976,
            -0.011098315,
            -0.00939603336,
            -0.00769375032,
            -0.00599146821,
            -0.00428918563,
            -0.00258690305,
            -0.000884620473,
            0.000817661174,
            0.00251994468,
            0.0042222254,
            0.00592450798,
            0.00762679055,
            0.00932907313,
            0.0110313557,
            0.0127336383,
            0.0140299769,
            0.0147595266,
            0.0154890763,
            0.016218625,
            0.0169481747,
            0.0176777244,
            0.018407274,
            0.0191368237,
            0.0198663734,
            0.0205959231,
            0.0213254727,
            0.0220550224,
            0.0227845721,
            0.0235141218,
            0.0242436714,
            0.0249732211,
            0.0257027708,
            0.0264323205,
            0.0271618702,
            0.0278914198,
            0.0286209695,
            0.0293505192,
            0.0300800689,
            0.0308096185,
            0.0315391682,
            0.0322687179,
            0.0329982676,
            0.0337278172,
            0.0344573632,
            0.0351869166,
            0.0359164625,
            0.0366460159,
            0.0373755619,
            0.0381051116,
            0.0388346612,
            0.0395642109,
            0.0402937606,
            0.0410233103,
            0.04175286,
            0.0424824096,
            0.0432119593,
            0.043941509,
            0.0446710587,
            0.0454006083,
            0.046130158,
            0.0468597077,
            0.0475892574,
            0.048318807,
            0.0490483567,
            0.0497779064,
            0.0505074561,
            0.0512370057,
            0.0519665554,
            0.0526961051,
            0.0534256548,
            0.0541552044,
            0.0548847541,
            0.0556143038,
            0.0563438535,
            0.0570734031,
            0.0578029528,
            0.0585325025,
            0.0592620522,
            0.0599916019,
            0.0607211515,
            0.0623391792,
            0.0640414655,
            0.0657437444,
            0.0674460307,
            0.0691483095,
            0.0708505958,
            0.0725528747,
            0.0742551535,
            0.0759574398,
            0.0776597261,
            0.079362005,
            0.0810642838,
            0.0827665702,
            0.084468849,
            0.0861711353,
            0.0878734142,
            0.0893842131,
            0.0908433124,
            0.0923024118,
            0.0937615111,
            0.0952206105,
            0.0966797099,
            0.0981388092,
            0.0995979086,
            0.101057008,
            0.102516107,
            0.103975207,
            0.105434306,
            0.106893405,
            0.108352505,
            0.109811604,
            0.111270703,
            0.112890646,
            0.114592932,
            0.116295211,
            0.117997497,
            0.119699776,
            0.121402062,
            0.123104341,
            0.124806628,
            0.126508906,
            0.128211185,
            0.129913479,
            0.131615758,
            0.133318037,
            0.135020316,
            0.136722594,
            0.138424888,
            0.139606327,
            0.140335888,
            0.141065434,
            0.14179498,
            0.142524526,
            0.143254086,
            0.143983632,
            0.144713178,
            0.145442724,
            0.146172285,
            0.146901831,
            0.147631377,
            0.148360923,
            0.149090484,
            0.14982003,
            0.150549576,
            0.151279122,
            0.152008682,
            0.152738228,
            0.153467789,
            0.154197335,
            0.154926896,
            0.155656442,
            0.156386003,
            0.157115549,
            0.15784511,
            0.158574656,
            0.159304217,
            0.160033762,
            0.160763323,
            0.161492869,
            0.16222243,
            0.162951976,
            0.163681522,
            0.164411068,
            0.165140614,
            0.16587016,
            0.166599706,
            0.167329252,
            0.168058798,
            0.168788344,
            0.16951789,
            0.170247436,
            0.170976982,
            0.171706527,
            0.172436073,
            0.173165619,
            0.173895165,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174894705,
            0.175624251,
            0.176353797,
            0.177083358,
            0.177812904,
            0.17854245,
            0.179271996,
            0.180001557,
            0.180731103,
            0.181460649,
            0.182190195,
            0.182919756,
            0.183649302,
            0.184378847,
            0.185108393,
            0.185837954,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.1865426,
            0.187515348,
            0.188488081,
            0.189460814,
            0.190433547,
            0.191406295,
            0.192379028,
            0.193351761,
            0.194324493,
            0.195297241,
            0.196269974,
            0.197242707,
            0.19821544,
            0.199188173,
            0.200160921,
            0.201133654,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201920643,
            0.200218365,
            0.198516071,
            0.196813792,
            0.195111513,
            0.193409219,
            0.191706941,
            0.190004647,
            0.188302368,
            0.186600074,
            0.184897795,
            0.183195502,
            0.181493223,
            0.179790929,
            0.17808865,
            0.176386356,
            0.174684078,
            0.173854962,
            0.173125416,
            0.17239587,
            0.171666324,
            0.170936778,
            0.170207232,
            0.169477686,
            0.16874814,
            0.168018594,
            0.167289048,
            0.166559502,
            0.165829957,
            0.165100411,
            0.164370865,
            0.163641319,
            0.162911773,
            0.161619261,
            0.160160154,
            0.158701047,
            0.15724194,
            0.155782849,
            0.154323742,
            0.152864635,
            0.151405543,
            0.149946436,
            0.148487329,
            0.147028223,
            0.145569116,
            0.144110024,
            0.142650917,
            0.14119181,
            0.139732718,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.138710186,
            0.137737453,
            0.136764735,
            0.135791987,
            0.134819269,
            0.133846536,
            0.132873803,
            0.13190107,
            0.130928338,
            0.129955605,
            0.128982872,
            0.128010139,
            0.127037406,
            0.126064673,
            0.12509194,
            0.1241192,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123334125,
            0.122604571,
            0.121875025,
            0.121145472,
            0.120415926,
            0.119686373,
            0.118956827,
            0.118227273,
            0.117497727,
            0.116768174,
            0.116038628,
            0.115309075,
            0.114579529,
            0.113849975,
            0.113120429,
            0.112390876,
            0.11166133,
            0.110931776,
            0.110202231,
            0.109472677,
            0.108743131,
            0.108013578,
            0.107284032,
            0.106554478,
            0.105824932,
            0.105095379,
            0.104365833,
            0.10363628,
            0.102906734,
            0.102177188,
            0.101447634,
            0.100718081,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100557238,
            0.101286791,
            0.102016337,
            0.102745891,
            0.103475437,
            0.10420499,
            0.104934536,
            0.105664089,
            0.106393635,
            0.107123181,
            0.107852735,
            0.108582288,
            0.109311834,
            0.11004138,
            0.110770933,
            0.111500487,
            0.112850435,
            0.114552721,
            0.116255,
            0.117957287,
            0.119659565,
            0.121361852,
            0.123064131,
            0.124766409,
            0.126468688,
            0.128170982,
            0.129873261,
            0.13157554,
            0.133277833,
            0.134980112,
            0.136682391,
            0.13838467,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.13940528,
            0.140134826,
            0.140864372,
            0.141593918,
            0.142323479,
            0.143053025,
            0.143782571,
            0.144512117,
            0.145241678,
            0.145971224,
            0.14670077,
            0.147430316,
            0.148159876,
            0.148889422,
            0.149618968,
            0.150348514,
            0.151175722,
            0.152634829,
            0.154093921,
            0.155553028,
            0.15701212,
            0.158471227,
            0.159930319,
            0.161389425,
            0.162848517,
            0.164307624,
            0.165766716,
            0.167225823,
            0.168684915,
            0.170144022,
            0.171603113,
            0.173062205,
            0.174515575,
            0.175245121,
            0.175974667,
            0.176704213,
            0.177433759,
            0.17816332,
            0.178892866,
            0.179622412,
            0.180351958,
            0.181081519,
            0.181811064,
            0.18254061,
            0.183270156,
            0.183999717,
            0.184729263,
            0.185458809,
            0.186188355,
            0.187132373,
            0.188105106,
            0.189077854,
            0.190050587,
            0.19102332,
            0.191996053,
            0.192968801,
            0.193941534,
            0.194914266,
            0.195886999,
            0.196859747,
            0.19783248,
            0.198805213,
            0.199777946,
            0.200750679,
            0.201723427,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.202420413,
            0.203149959,
            0.203879505,
            0.204609051,
            0.205338597,
            0.206068143,
            0.206797689,
            0.207527235,
            0.208256781,
            0.208986327,
            0.209715873,
            0.210445419,
            0.211174965,
            0.211904511,
            0.212634057,
            0.213363603,
            0.214093149,
            0.21482271,
            0.215552256,
            0.216281801,
            0.217011347,
            0.217740908,
            0.218470454,
            0.2192,
            0.219929546,
            0.220659107,
            0.221388653,
            0.222118199,
            0.222847745,
            0.223577306,
            0.224306852,
            0.225036398,
            0.22604169,
            0.227500781,
            0.228959888,
            0.23041898,
            0.231878072,
            0.233337179,
            0.234796286,
            0.236255378,
            0.237714469,
            0.239173576,
            0.240632668,
            0.242091775,
            0.243550867,
            0.245009974,
            0.246469066,
            0.247928172,
            0.249203444,
            0.249933004,
            0.250662565,
            0.251392096,
            0.252121657,
            0.252851218,
            0.253580779,
            0.25431031,
            0.255039871,
            0.255769432,
            0.256498992,
            0.257228523,
            0.257958084,
            0.258687645,
            0.259417206,
            0.260146737,
            0.260998845,
            0.262701124,
            0.264403403,
            0.266105682,
            0.26780799,
            0.269510269,
            0.271212548,
            0.272914827,
            0.274617106,
            0.276319385,
            0.278021663,
            0.279723942,
            0.281426251,
            0.28312853,
            0.284830809,
            0.286533087
          ],
          [
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.312310517,
            0.313040048,
            0.313769609,
            0.31449914,
            0.315228701,
            0.315958261,
            0.316687793,
            0.317417353,
            0.318146884,
            0.318876445,
            0.319606006,
            0.320335537,
            0.321065098,
            0.321794659,
            0.32252419,
            0.323253751,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.324012011,
            0.324984759,
            0.325957477,
            0.326930225,
            0.327902943,
            0.328875691,
            0.329848409,
            0.330821157,
            0.331793875,
            0.332766622,
            0.33373934,
            0.334712088,
            0.335684806,
            0.336657554,
            0.337630272,
            0.33860302,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339393824,
            0.340123385,
            0.340852946,
            0.341582477,
            0.342312038,
            0.343041569,
            0.34377113,
            0.344500691,
            0.345230222,
            0.345959783,
            0.346689343,
            0.347418875,
            0.348148435,
            0.348877966,
            0.349607527,
            0.350337088,
            0.351066619,
            0.35179618,
            0.352525741,
            0.353255272,
            0.353984833,
            0.354714364,
            0.355443925,
            0.356173486,
            0.356903017,
            0.357632577,
            0.358362138,
            0.359091669,
            0.35982123,
            0.360550761,
            0.361280322,
            0.362009883,
            0.362739414,
            0.363468975,
            0.364198506,
            0.364928067,
            0.365657628,
            0.366387159,
            0.367116719,
            0.36784628,
            0.368575811,
            0.369305372,
            0.370034903,
            0.370764464,
            0.371494025,
            0.372223556,
            0.372953117,
            0.373682678,
            0.374412209,
            0.375984281,
            0.37768656,
            0.379388839,
            0.381091148,
            0.382793427,
            0.384495705,
            0.386197984,
            0.387900263,
            0.389602542,
            0.391304821,
            0.3930071,
            0.394709408,
            0.396411687,
            0.398113966,
            0.399816245,
            0.401518524,
            0.402500838,
            0.403230369,
            0.40395993,
            0.404689461,
            0.405419022,
            0.406148553,
            0.406878114,
            0.407607645,
            0.408337206,
            0.409066737,
            0.409796298,
            0.410525829,
            0.411255389,
            0.411984921,
            0.412714481,
            0.413444012,
            0.414173573,
            0.414903134,
            0.415632665,
            0.416362226,
            0.417091787,
            0.417821348,
            0.418550879,
            0.41928044,
            0.42001,
            0.420739561,
            0.421469092,
            0.422198653,
            0.422928214,
            0.423657775,
            0.424387306,
            0.425116867,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.425317913,
            0.424588382,
            0.423858821,
            0.423129261,
            0.4223997,
            0.421670169,
            0.420940608,
            0.420211047,
            0.419481486,
            0.418751955,
            0.418022394,
            0.417292833,
            0.416563272,
            0.415833741,
            0.415104181,
            0.41437462,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413007438,
            0.412277907,
            0.411548346,
            0.410818815,
            0.410089254,
            0.409359723,
            0.408630162,
            0.407900631,
            0.407171071,
            0.40644154,
            0.405711979,
            0.404982448,
            0.404252887,
            0.403523356,
            0.402793795,
            0.402064264,
            0.401125997,
            0.40015325,
            0.399180532,
            0.398207784,
            0.397235066,
            0.396262318,
            0.3952896,
            0.394316852,
            0.393344134,
            0.392371386,
            0.391398668,
            0.39042592,
            0.389453202,
            0.388480455,
            0.387507737,
            0.386534989,
            0.38574034,
            0.385010779,
            0.384281248,
            0.383551687,
            0.382822126,
            0.382092595,
            0.381363034,
            0.380633503,
            0.379903942,
            0.379174381,
            0.37844485,
            0.37771529,
            0.376985729,
            0.376256198,
            0.375526637,
            0.374797106,
            0.374067545,
            0.373337984,
            0.372608453,
            0.371878892,
            0.371149361,
            0.3704198,
            0.369690239,
            0.368960708,
            0.368231148,
            0.367501587,
            0.366772056,
            0.366042495,
            0.365312964,
            0.364583403,
            0.363853842,
            0.363124311,
            0.36239475,
            0.361665189,
            0.360935658,
            0.360206097,
            0.359476566,
            0.358747005,
            0.358017445,
            0.357287914,
            0.356558353,
            0.355828792,
            0.355099261,
            0.3543697,
            0.353640169,
            0.352910608,
            0.352181047,
            0.351451516,
            0.350377291,
            0.348675013,
            0.346972734,
            0.345270455,
            0.343568146,
            0.341865867,
            0.340163589,
            0.33846131,
            0.336759031,
            0.335056752,
            0.333354473,
            0.331652194,
            0.329949915,
            0.328247607,
            0.326545328,
            0.324843049,
            0.323196292,
            0.3217372,
            0.320278108,
            0.318819016,
            0.317359895,
            0.315900803,
            0.314441711,
            0.312982619,
            0.311523497,
            0.310064405,
            0.308605313,
            0.307146221,
            0.3056871,
            0.304228008,
            0.302768916,
            0.301309824,
            0.299925387,
            0.299195856,
            0.298466295,
            0.297736734,
            0.297007203,
            0.296277642,
            0.295548081,
            0.29481855,
            0.294088989,
            0.293359458,
            0.292629898,
            0.291900337,
            0.291170806,
            0.290441245,
            0.289711714,
            0.288982153,
            0.288252592,
            0.287523061,
            0.2867935,
            0.286063969,
            0.285334408,
            0.284604877,
            0.283875316,
            0.283145785,
            0.282416224,
            0.281686693,
            0.280957133,
            0.280227602,
            0.279498041,
            0.27876851,
            0.278038949,
            0.277309418,
            0.276579857,
            0.275643498,
            0.27467078,
            0.273698032,
            0.272725314,
            0.271752566,
            0.270779818,
            0.2698071,
            0.268834352,
            0.267861605,
            0.266888887,
            0.265916139,
            0.264943421,
            0.263970673,
            0.262997925,
            0.262025207,
            0.261052459,
            0.259727389,
            0.258268297,
            0.256809205,
            0.255350083,
            0.253890991,
            0.252431899,
            0.250972778,
            0.249513686,
            0.248054579,
            0.246595472,
            0.245136365,
            0.243677273,
            0.242218167,
            0.24075906,
            0.239299953,
            0.237840861,
            0.236381754,
            0.234922662,
            0.233463556,
            0.232004464,
            0.230545357,
            0.229086265,
            0.227627158,
            0.226168066,
            0.224708959,
            0.223249868,
            0.221790761,
            0.220331669,
            0.218872562,
            0.21741347,
            0.215954363,
            0.214495271,
            0.212921277,
            0.211218998,
            0.209516719,
            0.207814425,
            0.206112146,
            0.204409868,
            0.202707589,
            0.20100531,
            0.199303016,
            0.197600737,
            0.195898458,
            0.19419618,
            0.192493886,
            0.190791607,
            0.189089328,
            0.187387049,
            0.185769022,
            0.184309915,
            0.182850823,
            0.181391731,
            0.179932639,
            0.178473532,
            0.17701444,
            0.175555348,
            0.174096256,
            0.17263715,
            0.171178058,
            0.169718966,
            0.168259874,
            0.166800767,
            0.165341675,
            0.163882583,
            0.162584335,
            0.161854774,
            0.161125228,
            0.160395667,
            0.159666121,
            0.15893656,
            0.158207014,
            0.157477453,
            0.156747907,
            0.156018347,
            0.155288801,
            0.15455924,
            0.153829694,
            0.153100133,
            0.152370587,
            0.151641026,
            0.15081957,
            0.149117291,
            0.147414997,
            0.145712718,
            0.14401044,
            0.142308161,
            0.140605867,
            0.138903588,
            0.137201309,
            0.13549903,
            0.133796751,
            0.132094458,
            0.130392179,
            0.1286899,
            0.126987606,
            0.125285327,
            0.123583049,
            0.122822866,
            0.122093312,
            0.121363766,
            0.120634213,
            0.119904667,
            0.119175114,
            0.118445568,
            0.117716014,
            0.116986468,
            0.116256915,
            0.115527369,
            0.114797816,
            0.11406827,
            0.113338716,
            0.11260917,
            0.111879617,
            0.110535413,
            0.109076306,
            0.107617214,
            0.106158115,
            0.104699016,
            0.103239916,
            0.101780817,
            0.100321718,
            0.0988626182,
            0.0974035189,
            0.0959444195,
            0.0944853202,
            0.0930262208,
            0.0915671214,
            0.0901080221,
            0.0886489227,
            0.087712571,
            0.0869830176,
            0.0862534717,
            0.0855239183,
            0.0847943723,
            0.0840648264,
            0.083335273,
            0.0826057196,
            0.0818761736,
            0.0811466277,
            0.0804170743,
            0.0796875209,
            0.0789579749,
            0.078228429,
            0.0774988756,
            0.0767693296,
            0.0758961663,
            0.0749234334,
            0.0739507005,
            0.0729779676,
            0.0720052347,
            0.0710325018,
            0.0700597689,
            0.069087036,
            0.0681143031,
            0.0671415702,
            0.0661688372,
            0.0651961043,
            0.0642233714,
            0.0632506385,
            0.0622779056,
            0.0613051727,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0605373271,
            0.0598077774,
            0.0590782277,
            0.0583486781,
            0.0576191284,
            0.0568895787,
            0.056160029,
            0.0554304793,
            0.0547009297,
            0.05397138,
            0.0532418303,
            0.0525122806,
            0.051782731,
            0.0510531813,
            0.0503236316,
            0.0495940819,
            0.0488645323,
            0.0481349826,
            0.0474054329,
            0.0466758832,
            0.0459463336,
            0.0452167839,
            0.0444872379,
            0.0437576845,
            0.0430281386,
            0.0422985889,
            0.0415690392,
            0.0408394858,
            0.0401099399,
            0.0393803902,
            0.0386508405,
            0.0379212908,
            0.0371917412,
            0.0364621915,
            0.0357326418,
            0.0350030921,
            0.0342735425,
            0.0335439928,
            0.0328144431,
            0.0320848934,
            0.0313553438,
            0.0306257941,
            0.0298962444,
            0.0291666947,
            0.0284371451,
            0.0277075954,
            0.0269780457,
            0.026248496,
            0.0255189463,
            0.0240885708,
            0.0226294715,
            0.0211703721,
            0.0197112728,
            0.0182521734,
            0.0167930741,
            0.0153339747,
            0.0138748754,
            0.012415777,
            0.0109566776,
            0.00949757919,
            0.00803847983,
            0.00657938048,
            0.00512028113,
            0.00366118178,
            0.00220208243,
            0.00054001133,
            -0.00116227102,
            -0.00286455359,
            -0.00456683571,
            -0.00626911782,
            -0.0079714004,
            -0.00967368297,
            -0.0113759656,
            -0.0130782472,
            -0.0147805307,
            -0.0164828114,
            -0.018185094,
            -0.0198873766,
            -0.0215896592,
            -0.0232919417,
            -0.0249942243,
            -0.0265241712,
            -0.0279832706,
            -0.0294423699,
            -0.0309014693,
            -0.0323605686,
            -0.033819668,
            -0.0352787673,
            -0.0367378667,
            -0.0381969661,
            -0.0396560654,
            -0.0411151648,
            -0.0425742641,
            -0.0440333635,
            -0.0454924628,
            -0.0469515622,
            -0.0484106615,
            -0.049444668,
            -0.0501742177,
            -0.0509037673,
            -0.051633317,
            -0.0523628667,
            -0.0530924164,
            -0.0538219661,
            -0.0545515157,
            -0.0552810654,
            -0.0560106114,
            -0.0567401648,
            -0.0574697107,
            -0.0581992641,
            -0.0589288101,
            -0.0596583635,
            -0.0603879094,
            -0.0612285212,
            -0.0622012541,
            -0.063173987,
            -0.0641467199,
            -0.0651194528,
            -0.0660921857,
            -0.0670649186,
            -0.0680376515,
            -0.0690103844,
            -0.0699831173,
            -0.0709558502,
            -0.0719285831,
            -0.072901316,
            -0.0738740489,
            -0.0748467818,
            -0.0758195147,
            -0.0769530907,
            -0.0784121901,
            -0.0798712894,
            -0.0813303888,
            -0.0827894881,
            -0.0842485875,
            -0.0857076868,
            -0.0871667862,
            -0.0886258855,
            -0.0900849849,
            -0.0915440843,
            -0.0930031836,
            -0.094462283,
            -0.0959213823,
            -0.0973804817,
            -0.098839581,
            -0.10029868,
            -0.10175778,
            -0.103216879,
            -0.104675978,
            -0.10613507,
            -0.107594177,
            -0.109053269,
            -0.110512376,
            -0.111971468,
            -0.113430567,
            -0.114889666,
            -0.116348766,
            -0.117807865,
            -0.119266964,
            -0.120726064,
            -0.122185163,
            -0.123605967,
            -0.124578699,
            -0.125551432,
            -0.126524165,
            -0.127496913,
            -0.128469646,
            -0.129442379,
            -0.130415112,
            -0.131387845,
            -0.132360578,
            -0.13333331,
            -0.134306043,
            -0.135278791,
            -0.136251524,
            -0.137224257,
            -0.13819699,
            -0.139169723,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139818847,
            -0.140548393,
            -0.141277954,
            -0.1420075,
            -0.142737046,
            -0.143466592,
            -0.144196153,
            -0.144925699,
            -0.145655245,
            -0.146384791,
            -0.147114351,
            -0.147843897,
            -0.148573443,
            -0.149302989,
            -0.15003255,
            -0.150762096,
            -0.151491642,
            -0.152221188,
            -0.152950749,
            -0.153680295,
            -0.154409841,
            -0.155139387,
            -0.155868948,
            -0.156598493,
            -0.157328039,
            -0.158057585,
            -0.158787131,
            -0.159516692,
            -0.160246238,
            -0.160975784,
            -0.16170533,
            -0.162434891,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162509561,
            -0.161780015,
            -0.161050469,
            -0.160320923,
            -0.159591362,
            -0.158861816,
            -0.15813227,
            -0.157402724,
            -0.156673163,
            -0.155943617,
            -0.155214071,
            -0.154484525,
            -0.153754964,
            -0.153025419,
            -0.152295873,
            -0.151566327,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.151669726,
            -0.152399272,
            -0.153128818,
            -0.153858364,
            -0.154587924,
            -0.15531747,
            -0.156047016,
            -0.156776562,
            -0.157506123,
            -0.158235669,
            -0.158965215,
            -0.159694761,
            -0.160424322,
            -0.161153868,
            -0.161883414,
            -0.16261296,
            -0.163939938,
            -0.165399045,
            -0.166858137,
            -0.168317243,
            -0.169776335,
            -0.171235442,
            -0.172694534,
            -0.174153641,
            -0.175612733,
            -0.17707184,
            -0.178530931,
            -0.179990038,
            -0.18144913,
            -0.182908237,
            -0.184367329,
            -0.185826421,
            -0.186780021,
            -0.187509567,
            -0.188239112,
            -0.188968658,
            -0.189698219,
            -0.190427765,
            -0.191157311,
            -0.191886857,
            -0.192616403,
            -0.193345964,
            -0.19407551,
            -0.194805056,
            -0.195534602,
            -0.196264163,
            -0.196993709,
            -0.197723255,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197717518,
            -0.196987957,
            -0.196258411,
            -0.195528865,
            -0.194799319,
            -0.194069758,
            -0.193340212,
            -0.192610666,
            -0.19188112,
            -0.191151559,
            -0.190422013,
            -0.189692467,
            -0.188962922,
            -0.188233376,
            -0.187503815,
            -0.186774269,
            -0.186044723,
            -0.185315177,
            -0.184585616,
            -0.18385607,
            -0.183126524,
            -0.182396978,
            -0.181667417,
            -0.180937871,
            -0.180208325,
            -0.179478779,
            -0.178749219,
            -0.178019673,
            -0.177290127,
            -0.176560581,
            -0.17583102,
            -0.175101474,
            -0.174371928,
            -0.173642382,
            -0.172912821,
            -0.172183275,
            -0.171453729,
            -0.170724183,
            -0.169994622,
            -0.169265077,
            -0.168535531,
            -0.167805985,
            -0.167076424,
            -0.166346878,
            -0.165617332,
            -0.164887786,
            -0.164158225,
            -0.163428679,
            -0.162791044,
            -0.163520589,
            -0.16425015,
            -0.164979696,
            -0.165709242,
            -0.166438788,
            -0.167168349,
            -0.167897895,
            -0.168627441,
            -0.169356987,
            -0.170086533,
            -0.170816094,
            -0.17154564,
            -0.172275186,
            -0.173004732,
            -0.173734292,
            -0.174463838,
            -0.175193384,
            -0.17592293,
            -0.176652491,
            -0.177382037,
            -0.178111583,
            -0.178841129,
            -0.17957069,
            -0.180300236,
            -0.181029782,
            -0.181759328,
            -0.182488889,
            -0.183218434,
            -0.18394798,
            -0.184677526,
            -0.185407087,
            -0.186136633,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.185774729,
            -0.185045183,
            -0.184315622,
            -0.183586076,
            -0.18285653,
            -0.182126984,
            -0.181397438,
            -0.180667877,
            -0.179938331,
            -0.179208785,
            -0.178479239,
            -0.177749678,
            -0.177020133,
            -0.176290587,
            -0.175561041,
            -0.17483148,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174377665,
            -0.173648119,
            -0.172918573,
            -0.172189027,
            -0.171459466,
            -0.17072992,
            -0.170000374,
            -0.169270828,
            -0.168541268,
            -0.167811722,
            -0.167082176,
            -0.16635263,
            -0.165623069,
            -0.164893523,
            -0.164163977,
            -0.163434431,
            -0.16270487,
            -0.161975324,
            -0.161245778,
            -0.160516232,
            -0.159786671,
            -0.159057125,
            -0.158327579,
            -0.157598034,
            -0.156868488,
            -0.156138927,
            -0.155409381,
            -0.154679835,
            -0.153950274,
            -0.153220728,
            -0.152491182,
            -0.151761636,
            -0.15103209,
            -0.150302529,
            -0.149572983,
            -0.148843437,
            -0.148113891,
            -0.147384331,
            -0.146654785,
            -0.145925239,
            -0.145195693,
            -0.144466132,
            -0.143736586,
            -0.14300704,
            -0.142277494,
            -0.141547933,
            -0.140818387,
            -0.140088841,
            -0.139359295,
            -0.138434425,
            -0.137461692,
            -0.136488959,
            -0.135516226,
            -0.134543493,
            -0.13357076,
            -0.132598013,
            -0.13162528,
            -0.130652547,
            -0.129679814,
            -0.128707081,
            -0.127734348,
            -0.126761615,
            -0.125788882,
            -0.124816142,
            -0.123843409,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.12331108,
            -0.122581534,
            -0.121851981,
            -0.121122427,
            -0.120392881,
            -0.119663328,
            -0.118933775,
            -0.118204221,
            -0.117474675,
            -0.116745122,
            -0.116015568,
            -0.115286015,
            -0.114556469,
            -0.113826916,
            -0.113097362,
            -0.112367809,
            -0.111638263,
            -0.110908717,
            -0.110179164,
            -0.109449618,
            -0.108720072,
            -0.107990526,
            -0.107260972,
            -0.106531426,
            -0.10580188,
            -0.105072334,
            -0.104342781,
            -0.103613235,
            -0.102883689,
            -0.102154143,
            -0.10142459,
            -0.100695044,
            -0.0999654979,
            -0.0992359444,
            -0.0985063985,
            -0.0977768451,
            -0.0970472991,
            -0.0963177532,
            -0.0955881998,
            -0.0948586464,
            -0.0941291004,
            -0.0933995545,
            -0.0926700011,
            -0.0919404477,
            -0.0912109017,
            -0.0904813558,
            -0.0897518024,
            -0.0890222564,
            -0.088292703,
            -0.0866670161,
            -0.0849647298,
            -0.083262451,
            -0.0815601647,
            -0.0798578858,
            -0.078155607,
            -0.0764533207,
            -0.0747510344,
            -0.0730487555,
            -0.0713464767,
            -0.0696441904,
            -0.0679419041,
            -0.0662396252,
            -0.0645373464,
            -0.0628350601,
            -0.0611327812,
            -0.0596238934,
            -0.058164794,
            -0.0567056946,
            -0.0552465953,
            -0.0537874997,
            -0.0523284003,
            -0.050869301,
            -0.0494102016,
            -0.0479511023,
            -0.0464920029,
            -0.0450329036,
            -0.0435738042,
            -0.0421147048,
            -0.0406556055,
            -0.0391965061,
            -0.0377374068,
            -0.0362783074,
            -0.0348192081,
            -0.0333601087,
            -0.0319010094,
            -0.03044191,
            -0.0289828107,
            -0.0275237113,
            -0.026064612,
            -0.0246055145,
            -0.0231464151,
            -0.0216873158,
            -0.0202282164,
            -0.0187691171,
            -0.0173100177,
            -0.0158509184,
            -0.014391819,
            -0.0131969666,
            -0.0122242346,
            -0.0112515017,
            -0.0102787688,
            -0.00930603594,
            -0.00833330303,
            -0.00736057013,
            -0.00638783723,
            -0.00541510433,
            -0.00444237143,
            -0.00346963946,
            -0.00249690656,
            -0.00152417365,
            -0.000551440753,
            0.000421292149,
            0.00139402505,
            0.00226527173,
            0.00299482141,
            0.00372437085,
            0.00445392076,
            0.00518346997,
            0.00591301965,
            0.00664256932,
            0.007372119,
            0.00810166821,
            0.00883121789,
            0.00956076756,
            0.0102903172,
            0.0110198669,
            0.0117494166,
            0.0124789663,
            0.0132085159,
            0.0139380647,
            0.0146676144,
            0.015397164,
            0.0161267146,
            0.0168562643,
            0.017585814,
            0.0183153637,
            0.0190449134,
            0.0197744612,
            0.0205040108,
            0.0212335605,
            0.0219631102,
            0.0226926599,
            0.0234222095,
            0.0241517592,
            0.0248813089,
            0.0257314928,
            0.0271905921,
            0.0286496915,
            0.0301087908,
            0.0315678902,
            0.0330269895,
            0.0344860889,
            0.0359451883,
            0.0374042839,
            0.0388633832,
            0.0403224826,
            0.0417815819,
            0.0432406813,
            0.0446997806,
            0.04615888,
            0.0476179793,
            0.0490483567,
            0.0497779064,
            0.0505074561,
            0.0512370057,
            0.0519665554,
            0.0526961051,
            0.0534256548,
            0.0541552044,
            0.0548847541,
            0.0556143038,
            0.0563438535,
            0.0570734031,
            0.0578029528,
            0.0585325025,
            0.0592620522,
            0.0599916019,
            0.0607211515,
            0.0616728216,
            0.0626455545,
            0.0636182874,
            0.0645910203,
            0.0655637532,
            0.0665364861,
            0.0675092191,
            0.068481952,
            0.0694546849,
            0.0704274178,
            0.0714001507,
            0.0723728836,
            0.0733456165,
            0.0743183494,
            0.0752910823,
            0.0762638152,
            0.0776195079,
            0.0790786073,
            0.0805377066,
            0.081996806,
            0.0834559053,
            0.0849150047,
            0.086374104,
            0.0878332034,
            0.0892923027,
            0.0907514021,
            0.0922105014,
            0.0936696008,
            0.0951287001,
            0.0965877995,
            0.0980468988,
            0.0995059982,
            0.100965098,
            0.102424197,
            0.103883296,
            0.105342396,
            0.106801495,
            0.108260594,
            0.109719694,
            0.111178793,
            0.112637892,
            0.114096992,
            0.115556091,
            0.11701519,
            0.11847429,
            0.119933389,
            0.121392488,
            0.12285158,
            0.124050267,
            0.125023007,
            0.12599574,
            0.126968473,
            0.127941191,
            0.128913939,
            0.129886657,
            0.13085939,
            0.131832123,
            0.132804856,
            0.133777589,
            0.134750322,
            0.135723054,
            0.136695787,
            0.13766852,
            0.138641253,
            0.139514416,
            0.140243977,
            0.140973523,
            0.141703069,
            0.142432615,
            0.143162176,
            0.143891722,
            0.144621268,
            0.145350814,
            0.146080375,
            0.146809921,
            0.147539467,
            0.148269013,
            0.148998559,
            0.149728119,
            0.150457665,
            0.15139401,
            0.152853116,
            0.154312208,
            0.155771315,
            0.157230407,
            0.158689514,
            0.160148606,
            0.161607713,
            0.163066804,
            0.164525911,
            0.165985003,
            0.16744411,
            0.168903202,
            0.170362309,
            0.171821401,
            0.173280507,
            0.174624711,
            0.175354257,
            0.176083818,
            0.176813364,
            0.17754291,
            0.178272456,
            0.179002017,
            0.179731563,
            0.180461109,
            0.181190655,
            0.181920215,
            0.182649761,
            0.183379307,
            0.184108853,
            0.184838414,
            0.18556796,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.1865426,
            0.187515348,
            0.188488081,
            0.189460814,
            0.190433547,
            0.191406295,
            0.192379028,
            0.193351761,
            0.194324493,
            0.195297241,
            0.196269974,
            0.197242707,
            0.19821544,
            0.199188173,
            0.200160921,
            0.201133654,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201937884,
            0.200965151,
            0.199992403,
            0.19901967,
            0.198046938,
            0.197074205,
            0.196101472,
            0.195128724,
            0.194155991,
            0.193183258,
            0.192210525,
            0.191237777,
            0.190265045,
            0.189292312,
            0.188319579,
            0.187346831,
            0.186374098,
            0.184964791,
            0.183505699,
            0.182046592,
            0.1805875,
            0.179128408,
            0.177669317,
            0.17621021,
            0.174751118,
            0.173292026,
            0.171832934,
            0.170373827,
            0.168914735,
            0.167455643,
            0.165996552,
            0.16453746,
            0.163078353,
            0.161619261,
            0.160160154,
            0.158701047,
            0.15724194,
            0.155782849,
            0.154323742,
            0.152864635,
            0.151405543,
            0.149946436,
            0.148487329,
            0.147028223,
            0.145569116,
            0.144110024,
            0.142650917,
            0.14119181,
            0.139732718,
            0.138587639,
            0.137614906,
            0.136642173,
            0.13566944,
            0.134696707,
            0.133723974,
            0.132751241,
            0.131778508,
            0.130805776,
            0.129833043,
            0.12886031,
            0.127887577,
            0.126914844,
            0.125942111,
            0.124969386,
            0.123996653,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123334125,
            0.122604571,
            0.121875025,
            0.121145472,
            0.120415926,
            0.119686373,
            0.118956827,
            0.118227273,
            0.117497727,
            0.116768174,
            0.116038628,
            0.115309075,
            0.114579529,
            0.113849975,
            0.113120429,
            0.112390876,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.112321943,
            0.113051496,
            0.113781042,
            0.114510596,
            0.115240142,
            0.115969695,
            0.116699241,
            0.117428795,
            0.11815834,
            0.118887886,
            0.11961744,
            0.120346993,
            0.121076539,
            0.121806085,
            0.122535639,
            0.123265192,
            0.12461514,
            0.126317427,
            0.128019705,
            0.129721984,
            0.131424278,
            0.133126557,
            0.134828836,
            0.136531115,
            0.138233393,
            0.139935687,
            0.141637966,
            0.143340245,
            0.145042539,
            0.146744817,
            0.148447096,
            0.150149375,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151261896,
            0.151991442,
            0.152721003,
            0.153450549,
            0.15418011,
            0.154909655,
            0.155639216,
            0.156368762,
            0.157098323,
            0.157827869,
            0.15855743,
            0.159286976,
            0.160016537,
            0.160746083,
            0.161475644,
            0.162205189,
            0.16293475,
            0.163664296,
            0.164393842,
            0.165123388,
            0.165852934,
            0.16658248,
            0.167312026,
            0.168041572,
            0.168771118,
            0.169500664,
            0.17023021,
            0.170959756,
            0.171689302,
            0.172418848,
            0.173148394,
            0.17387794,
            0.174737692,
            0.176439971,
            0.178142264,
            0.179844543,
            0.181546837,
            0.183249116,
            0.18495141,
            0.186653689,
            0.188355982,
            0.190058261,
            0.191760555,
            0.193462834,
            0.195165128,
            0.196867406,
            0.198569685,
            0.200271979,
            0.201966614,
            0.202696145,
            0.203425705,
            0.204155236,
            0.204884782,
            0.205614328,
            0.206343874,
            0.20707342,
            0.207802966,
            0.208532512,
            0.209262058,
            0.209991604,
            0.21072115,
            0.211450696,
            0.212180242,
            0.212909788,
            0.213639334,
            0.214368895,
            0.215098441,
            0.215827987,
            0.216557533,
            0.217287093,
            0.218016639,
            0.218746185,
            0.219475731,
            0.220205292,
            0.220934838,
            0.221664384,
            0.22239393,
            0.223123491,
            0.223853037,
            0.224582583,
            0.225312129,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225949764,
            0.226679325,
            0.227408871,
            0.228138417,
            0.228867963,
            0.229597524,
            0.23032707,
            0.231056616,
            0.231786162,
            0.232515723,
            0.233245268,
            0.233974814,
            0.23470436,
            0.235433921,
            0.236163467,
            0.236893013,
            0.237622559,
            0.23835212,
            0.239081666,
            0.239811212,
            0.240540758,
            0.241270319,
            0.241999865,
            0.242729411,
            0.243458956,
            0.244188517,
            0.244918063,
            0.245647609,
            0.246377155,
            0.247106716,
            0.247836262,
            0.248565808,
            0.249295354,
            0.250024915,
            0.250754476,
            0.251484007,
            0.252213567,
            0.252943128,
            0.253672689,
            0.25440222,
            0.255131781,
            0.255861342,
            0.256590903,
            0.257320434,
            0.258049995,
            0.258779556,
            0.259509116,
            0.260238647,
            0.261213303,
            0.262915581,
            0.26461786,
            0.266320169,
            0.268022448,
            0.269724727,
            0.271427006,
            0.273129284,
            0.274831563,
            0.276533842,
            0.278236121,
            0.2799384,
            0.281640708,
            0.283342987,
            0.285045266,
            0.286747545,
            0.288419187,
            0.289878279,
            0.291337401,
            0.292796493,
            0.294255584,
            0.295714676,
            0.297173798,
            0.29863289,
            0.300091982,
            0.301551074,
            0.303010195,
            0.304469287,
            0.305928379,
            0.307387471,
            0.308846593,
            0.310305685
          ],
          [
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.338365585,
            0.337392837,
            0.336420119,
            0.335447371,
            0.334474653,
            0.333501905,
            0.332529187,
            0.331556439,
            0.330583721,
            0.329610974,
            0.328638256,
            0.327665508,
            0.32669279,
            0.325720042,
            0.324747324,
            0.323774576,
            0.324257106,
            0.325229853,
            0.326202571,
            0.327175319,
            0.328148037,
            0.329120785,
            0.330093503,
            0.331066251,
            0.332038969,
            0.333011717,
            0.333984435,
            0.334957182,
            0.3359299,
            0.336902648,
            0.337875366,
            0.338848114,
            0.339669555,
            0.340399116,
            0.341128677,
            0.341858208,
            0.342587769,
            0.34331733,
            0.344046861,
            0.344776422,
            0.345505953,
            0.346235514,
            0.346965075,
            0.347694606,
            0.348424166,
            0.349153727,
            0.349883258,
            0.350612819,
            0.35134235,
            0.352071911,
            0.352801472,
            0.353531003,
            0.354260564,
            0.354990125,
            0.355719656,
            0.356449217,
            0.357178748,
            0.357908309,
            0.358637869,
            0.3593674,
            0.360096961,
            0.360826522,
            0.361556053,
            0.362285614,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362831324,
            0.363560885,
            0.364290446,
            0.365019977,
            0.365749538,
            0.366479069,
            0.36720863,
            0.367938191,
            0.368667722,
            0.369397283,
            0.370126843,
            0.370856375,
            0.371585935,
            0.372315466,
            0.373045027,
            0.373774588,
            0.374504119,
            0.37523368,
            0.375963211,
            0.376692772,
            0.377422333,
            0.378151864,
            0.378881425,
            0.379610986,
            0.380340517,
            0.381070077,
            0.381799608,
            0.382529169,
            0.38325873,
            0.383988261,
            0.384717822,
            0.385447383,
            0.386176914,
            0.387117088,
            0.388089836,
            0.389062554,
            0.390035301,
            0.391008019,
            0.391980767,
            0.392953485,
            0.393926233,
            0.394898951,
            0.395871699,
            0.396844417,
            0.397817165,
            0.398789883,
            0.39976263,
            0.400735348,
            0.401708096,
            0.402500838,
            0.403230369,
            0.40395993,
            0.404689461,
            0.405419022,
            0.406148553,
            0.406878114,
            0.407607645,
            0.408337206,
            0.409066737,
            0.409796298,
            0.410525829,
            0.411255389,
            0.411984921,
            0.412714481,
            0.413444012,
            0.414173573,
            0.414903134,
            0.415632665,
            0.416362226,
            0.417091787,
            0.417821348,
            0.418550879,
            0.41928044,
            0.42001,
            0.420739561,
            0.421469092,
            0.422198653,
            0.422928214,
            0.423657775,
            0.424387306,
            0.425116867,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.425145596,
            0.423686504,
            0.422227383,
            0.420768291,
            0.419309199,
            0.417850107,
            0.416390985,
            0.414931893,
            0.413472801,
            0.41201371,
            0.410554588,
            0.409095496,
            0.407636404,
            0.406177312,
            0.40471819,
            0.403259099,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.401125997,
            0.40015325,
            0.399180532,
            0.398207784,
            0.397235066,
            0.396262318,
            0.3952896,
            0.394316852,
            0.393344134,
            0.392371386,
            0.391398668,
            0.39042592,
            0.389453202,
            0.388480455,
            0.387507737,
            0.386534989,
            0.38574034,
            0.385010779,
            0.384281248,
            0.383551687,
            0.382822126,
            0.382092595,
            0.381363034,
            0.380633503,
            0.379903942,
            0.379174381,
            0.37844485,
            0.37771529,
            0.376985729,
            0.376256198,
            0.375526637,
            0.374797106,
            0.374067545,
            0.373337984,
            0.372608453,
            0.371878892,
            0.371149361,
            0.3704198,
            0.369690239,
            0.368960708,
            0.368231148,
            0.367501587,
            0.366772056,
            0.366042495,
            0.365312964,
            0.364583403,
            0.363853842,
            0.363124311,
            0.36239475,
            0.361665189,
            0.360935658,
            0.360206097,
            0.359476566,
            0.358747005,
            0.358017445,
            0.357287914,
            0.356558353,
            0.355828792,
            0.355099261,
            0.3543697,
            0.353640169,
            0.352910608,
            0.352181047,
            0.351451516,
            0.350377291,
            0.348675013,
            0.346972734,
            0.345270455,
            0.343568146,
            0.341865867,
            0.340163589,
            0.33846131,
            0.336759031,
            0.335056752,
            0.333354473,
            0.331652194,
            0.329949915,
            0.328247607,
            0.326545328,
            0.324843049,
            0.323196292,
            0.3217372,
            0.320278108,
            0.318819016,
            0.317359895,
            0.315900803,
            0.314441711,
            0.312982619,
            0.311523497,
            0.310064405,
            0.308605313,
            0.307146221,
            0.3056871,
            0.304228008,
            0.302768916,
            0.301309824,
            0.299850702,
            0.29839161,
            0.296932518,
            0.295473427,
            0.294014335,
            0.292555243,
            0.291096151,
            0.289637059,
            0.288177937,
            0.286718845,
            0.285259753,
            0.283800662,
            0.28234157,
            0.280882478,
            0.279423386,
            0.277964294,
            0.276505172,
            0.275520951,
            0.274548233,
            0.273575485,
            0.272602767,
            0.271630019,
            0.270657271,
            0.269684553,
            0.268711805,
            0.267739058,
            0.26676634,
            0.265793592,
            0.264820874,
            0.263848126,
            0.262875378,
            0.26190266,
            0.260929912,
            0.260163993,
            0.259434432,
            0.258704871,
            0.25797531,
            0.257245779,
            0.256516218,
            0.255786657,
            0.255057096,
            0.254327565,
            0.253598005,
            0.252868444,
            0.252138883,
            0.251409352,
            0.250679791,
            0.24995023,
            0.249220684,
            0.248491123,
            0.247761577,
            0.247032031,
            0.246302485,
            0.245572925,
            0.244843379,
            0.244113833,
            0.243384287,
            0.242654741,
            0.24192518,
            0.241195634,
            0.240466088,
            0.239736527,
            0.239006981,
            0.238277435,
            0.237547889,
            0.236381754,
            0.234922662,
            0.233463556,
            0.232004464,
            0.230545357,
            0.229086265,
            0.227627158,
            0.226168066,
            0.224708959,
            0.223249868,
            0.221790761,
            0.220331669,
            0.218872562,
            0.21741347,
            0.215954363,
            0.214495271,
            0.212576613,
            0.210144773,
            0.207712948,
            0.205281109,
            0.202849284,
            0.200417444,
            0.197985619,
            0.19555378,
            0.193121955,
            0.19069013,
            0.18825829,
            0.185826451,
            0.183394626,
            0.180962801,
            0.178530961,
            0.176099122,
            0.174004301,
            0.17254521,
            0.171086103,
            0.169627011,
            0.168167919,
            0.166708812,
            0.16524972,
            0.163790613,
            0.162331522,
            0.160872415,
            0.159413323,
            0.157954216,
            0.156495124,
            0.155036017,
            0.153576925,
            0.152117819,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150750637,
            0.148318797,
            0.145886973,
            0.143455133,
            0.141023308,
            0.138591468,
            0.136159644,
            0.133727804,
            0.131295979,
            0.128864139,
            0.126432315,
            0.124000482,
            0.12156865,
            0.119136818,
            0.116704985,
            0.114273153,
            0.111841321,
            0.111058161,
            0.110328607,
            0.109599061,
            0.108869508,
            0.108139962,
            0.107410409,
            0.106680863,
            0.105951309,
            0.105221763,
            0.10449221,
            0.103762664,
            0.10303311,
            0.102303565,
            0.101574011,
            0.100844465,
            0.100114912,
            0.0987707078,
            0.097311601,
            0.0958525091,
            0.0943934098,
            0.0929343104,
            0.0914752111,
            0.0900161117,
            0.0885570124,
            0.087097913,
            0.0856388137,
            0.0841797143,
            0.082720615,
            0.0812615156,
            0.0798024163,
            0.0783433169,
            0.0768842176,
            0.0757736191,
            0.0748008862,
            0.0738281533,
            0.0728554204,
            0.0718826875,
            0.0709099546,
            0.0699372217,
            0.0689644888,
            0.0679917559,
            0.067019023,
            0.0660462901,
            0.0650735572,
            0.0641008243,
            0.0631280914,
            0.0621553585,
            0.0611826256,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.06123624,
            0.0622089729,
            0.0631817058,
            0.0641544387,
            0.0651271716,
            0.0660999045,
            0.0670726374,
            0.0680453703,
            0.0690181032,
            0.0699908361,
            0.070963569,
            0.0719363019,
            0.0729090348,
            0.0738817677,
            0.0748545006,
            0.0758272335,
            0.0761412606,
            0.0751685277,
            0.0741957948,
            0.0732230619,
            0.072250329,
            0.0712775961,
            0.0703048632,
            0.0693321303,
            0.0683594048,
            0.0673866719,
            0.066413939,
            0.0654412061,
            0.0644684732,
            0.0634957403,
            0.0625230074,
            0.0615502708,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0606579594,
            0.0591988638,
            0.0577397645,
            0.0562806651,
            0.0548215657,
            0.0533624664,
            0.051903367,
            0.0504442677,
            0.0489851683,
            0.047526069,
            0.0460669696,
            0.0446078703,
            0.0431487709,
            0.0416896716,
            0.0402305722,
            0.0387714729,
            0.0373123735,
            0.0358532742,
            0.0343941748,
            0.0329350755,
            0.0314759761,
            0.0300168786,
            0.0285577793,
            0.0270986799,
            0.0256395806,
            0.0241804831,
            0.0227213837,
            0.0212622844,
            0.019803185,
            0.0183440857,
            0.0168849863,
            0.015425887,
            0.0139667876,
            0.0131166037,
            0.012387054,
            0.0116575044,
            0.0109279547,
            0.010198405,
            0.00946885534,
            0.00873930566,
            0.00800975598,
            0.00728020724,
            0.00655065756,
            0.00582110789,
            0.00509155821,
            0.00436200853,
            0.00363245886,
            0.00290290918,
            0.00217335951,
            0.000754472101,
            -0.000947810244,
            -0.00265009236,
            -0.00435237493,
            -0.00605465751,
            -0.00775694009,
            -0.00945922174,
            -0.0111615043,
            -0.0128637869,
            -0.0145660695,
            -0.016268352,
            -0.0179706346,
            -0.0196729172,
            -0.0213751979,
            -0.0230774805,
            -0.0247797631,
            -0.0263403486,
            -0.027799448,
            -0.0292585474,
            -0.0307176467,
            -0.0321767442,
            -0.0336358435,
            -0.0350949429,
            -0.0365540422,
            -0.0380131416,
            -0.039472241,
            -0.0409313403,
            -0.0423904397,
            -0.043849539,
            -0.0453086384,
            -0.0467677377,
            -0.0482268371,
            -0.0497969948,
            -0.0514992774,
            -0.0532015599,
            -0.0549038425,
            -0.0566061251,
            -0.0583084077,
            -0.0600106902,
            -0.0617129728,
            -0.0634152517,
            -0.065117538,
            -0.0668198168,
            -0.0685221031,
            -0.070224382,
            -0.0719266683,
            -0.0736289471,
            -0.0753312334,
            -0.0769530907,
            -0.0784121901,
            -0.0798712894,
            -0.0813303888,
            -0.0827894881,
            -0.0842485875,
            -0.0857076868,
            -0.0871667862,
            -0.0886258855,
            -0.0900849849,
            -0.0915440843,
            -0.0930031836,
            -0.094462283,
            -0.0959213823,
            -0.0973804817,
            -0.098839581,
            -0.100497819,
            -0.102929652,
            -0.105361491,
            -0.107793324,
            -0.110225156,
            -0.112656988,
            -0.11508882,
            -0.11752066,
            -0.119952492,
            -0.122384325,
            -0.124816157,
            -0.127247989,
            -0.129679829,
            -0.132111669,
            -0.134543493,
            -0.136975318,
            -0.139273122,
            -0.140002668,
            -0.140732229,
            -0.141461775,
            -0.142191321,
            -0.142920867,
            -0.143650427,
            -0.144379973,
            -0.145109519,
            -0.145839065,
            -0.146568626,
            -0.147298172,
            -0.148027718,
            -0.148757264,
            -0.14948681,
            -0.150216371,
            -0.150945917,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.151583552,
            -0.152313098,
            -0.153042659,
            -0.153772205,
            -0.154501751,
            -0.155231297,
            -0.155960858,
            -0.156690404,
            -0.15741995,
            -0.158149496,
            -0.158879057,
            -0.159608603,
            -0.160338148,
            -0.161067694,
            -0.161797255,
            -0.162526801,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.163164437,
            -0.163893983,
            -0.164623529,
            -0.16535309,
            -0.166082636,
            -0.166812181,
            -0.167541727,
            -0.168271288,
            -0.169000834,
            -0.16973038,
            -0.170459926,
            -0.171189487,
            -0.171919033,
            -0.172648579,
            -0.173378125,
            -0.174107686,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174274266,
            -0.17354472,
            -0.172815174,
            -0.172085628,
            -0.171356067,
            -0.170626521,
            -0.169896975,
            -0.169167429,
            -0.168437868,
            -0.167708322,
            -0.166978776,
            -0.166249231,
            -0.16551967,
            -0.164790124,
            -0.164060578,
            -0.163331032,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.164123759,
            -0.165582865,
            -0.167041957,
            -0.168501064,
            -0.169960156,
            -0.171419263,
            -0.172878355,
            -0.174337462,
            -0.175796553,
            -0.17725566,
            -0.178714752,
            -0.180173859,
            -0.181632951,
            -0.183092058,
            -0.18455115,
            -0.186010256,
            -0.186871931,
            -0.187601477,
            -0.188331023,
            -0.189060569,
            -0.18979013,
            -0.190519676,
            -0.191249222,
            -0.191978768,
            -0.192708328,
            -0.193437874,
            -0.19416742,
            -0.194896966,
            -0.195626527,
            -0.196356073,
            -0.197085619,
            -0.197815165,
            -0.198713228,
            -0.199685961,
            -0.200658694,
            -0.201631427,
            -0.20260416,
            -0.203576893,
            -0.204549626,
            -0.205522358,
            -0.206495091,
            -0.207467824,
            -0.208440557,
            -0.20941329,
            -0.210386023,
            -0.211358756,
            -0.212331489,
            -0.213304222,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213296562,
            -0.21232383,
            -0.211351097,
            -0.210378364,
            -0.209405631,
            -0.208432898,
            -0.207460165,
            -0.206487432,
            -0.205514699,
            -0.204541966,
            -0.203569233,
            -0.202596501,
            -0.201623768,
            -0.200651035,
            -0.199678302,
            -0.198705569,
            -0.197809428,
            -0.197079882,
            -0.196350321,
            -0.195620775,
            -0.194891229,
            -0.194161683,
            -0.193432122,
            -0.192702577,
            -0.191973031,
            -0.191243485,
            -0.190513924,
            -0.189784378,
            -0.189054832,
            -0.188325286,
            -0.187595725,
            -0.186866179,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186958089,
            -0.187687635,
            -0.188417196,
            -0.189146742,
            -0.189876288,
            -0.190605834,
            -0.191335395,
            -0.192064941,
            -0.192794487,
            -0.193524033,
            -0.194253594,
            -0.19498314,
            -0.195712686,
            -0.196442232,
            -0.197171792,
            -0.197901338,
            -0.198828116,
            -0.199800849,
            -0.200773582,
            -0.201746315,
            -0.202719048,
            -0.203691781,
            -0.204664513,
            -0.205637246,
            -0.206609979,
            -0.207582712,
            -0.208555445,
            -0.209528178,
            -0.210500911,
            -0.211473644,
            -0.212446377,
            -0.21341911,
            -0.213059112,
            -0.21208638,
            -0.211113647,
            -0.210140914,
            -0.209168181,
            -0.208195448,
            -0.207222715,
            -0.206249982,
            -0.205277249,
            -0.204304516,
            -0.203331783,
            -0.202359051,
            -0.201386318,
            -0.200413585,
            -0.199440852,
            -0.198468119,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197723255,
            -0.196993709,
            -0.196264163,
            -0.195534602,
            -0.194805056,
            -0.19407551,
            -0.193345964,
            -0.192616403,
            -0.191886857,
            -0.191157311,
            -0.190427765,
            -0.189698219,
            -0.188968658,
            -0.188239112,
            -0.187509567,
            -0.186780006,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.18614237,
            -0.185412824,
            -0.184683278,
            -0.183953732,
            -0.183224171,
            -0.182494625,
            -0.181765079,
            -0.181035534,
            -0.180305973,
            -0.179576427,
            -0.178846881,
            -0.178117335,
            -0.177387774,
            -0.176658228,
            -0.175928682,
            -0.175199136,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.17383194,
            -0.173102394,
            -0.172372848,
            -0.171643302,
            -0.170913741,
            -0.170184195,
            -0.169454649,
            -0.168725103,
            -0.167995542,
            -0.167265996,
            -0.16653645,
            -0.165806904,
            -0.165077344,
            -0.164347798,
            -0.163618252,
            -0.162888706,
            -0.162159145,
            -0.161429599,
            -0.160700053,
            -0.159970507,
            -0.159240946,
            -0.1585114,
            -0.157781854,
            -0.157052308,
            -0.156322747,
            -0.155593202,
            -0.154863656,
            -0.15413411,
            -0.153404564,
            -0.152675003,
            -0.151945457,
            -0.151215911,
            -0.15048635,
            -0.149756804,
            -0.149027258,
            -0.148297712,
            -0.147568166,
            -0.146838605,
            -0.146109059,
            -0.145379514,
            -0.144649968,
            -0.143920407,
            -0.143190861,
            -0.142461315,
            -0.141731769,
            -0.141002208,
            -0.140272662,
            -0.139543116,
            -0.138679519,
            -0.137706786,
            -0.136734053,
            -0.135761321,
            -0.134788588,
            -0.133815855,
            -0.132843122,
            -0.131870389,
            -0.130897641,
            -0.129924908,
            -0.128952175,
            -0.127979442,
            -0.12700671,
            -0.126033977,
            -0.125061244,
            -0.124088503,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123402998,
            -0.122673444,
            -0.121943891,
            -0.121214345,
            -0.120484792,
            -0.119755238,
            -0.119025685,
            -0.118296139,
            -0.117566586,
            -0.116837032,
            -0.116107479,
            -0.115377933,
            -0.114648379,
            -0.113918826,
            -0.113189273,
            -0.112459727,
            -0.111695707,
            -0.110236607,
            -0.108777508,
            -0.107318416,
            -0.105859317,
            -0.104400218,
            -0.102941126,
            -0.101482026,
            -0.100022927,
            -0.0985638276,
            -0.0971047357,
            -0.0956456363,
            -0.094186537,
            -0.0927274376,
            -0.0912683457,
            -0.0898092464,
            -0.088350147,
            -0.0866670161,
            -0.0849647298,
            -0.083262451,
            -0.0815601647,
            -0.0798578858,
            -0.078155607,
            -0.0764533207,
            -0.0747510344,
            -0.0730487555,
            -0.0713464767,
            -0.0696441904,
            -0.0679419041,
            -0.0662396252,
            -0.0645373464,
            -0.0628350601,
            -0.0611327812,
            -0.0596238934,
            -0.058164794,
            -0.0567056946,
            -0.0552465953,
            -0.0537874997,
            -0.0523284003,
            -0.050869301,
            -0.0494102016,
            -0.0479511023,
            -0.0464920029,
            -0.0450329036,
            -0.0435738042,
            -0.0421147048,
            -0.0406556055,
            -0.0391965061,
            -0.0377374068,
            -0.0367665887,
            -0.036037039,
            -0.0353074893,
            -0.0345779397,
            -0.03384839,
            -0.0331188403,
            -0.0323892906,
            -0.031659741,
            -0.0309301913,
            -0.0302006416,
            -0.0294710919,
            -0.0287415422,
            -0.0280119926,
            -0.0272824429,
            -0.0265528932,
            -0.0258233435,
            -0.0250937957,
            -0.0243642461,
            -0.0236346964,
            -0.0229051467,
            -0.022175597,
            -0.0214460474,
            -0.0207164977,
            -0.019986948,
            -0.0192573983,
            -0.0185278486,
            -0.017798299,
            -0.0170687512,
            -0.0163392015,
            -0.0156096509,
            -0.0148801012,
            -0.0141505515,
            -0.0130150579,
            -0.0113127753,
            -0.00961049367,
            -0.00790821109,
            -0.00620592898,
            -0.00450364687,
            -0.00280136429,
            -0.00109908171,
            0.000603200868,
            0.00230548345,
            0.00400776602,
            0.0057100486,
            0.00741232932,
            0.00911461189,
            0.0108168945,
            0.012519177,
            0.0141506111,
            0.0156097105,
            0.0170688089,
            0.0185279083,
            0.0199870076,
            0.021446107,
            0.0229052063,
            0.0243643057,
            0.0258234031,
            0.0272825025,
            0.0287416019,
            0.0302007012,
            0.0316598006,
            0.0331188999,
            0.0345779993,
            0.0360370986,
            0.0373755619,
            0.0381051116,
            0.0388346612,
            0.0395642109,
            0.0402937606,
            0.0410233103,
            0.04175286,
            0.0424824096,
            0.0432119593,
            0.043941509,
            0.0446710587,
            0.0454006083,
            0.046130158,
            0.0468597077,
            0.0475892574,
            0.048318807,
            0.0490483567,
            0.0497779064,
            0.0505074561,
            0.0512370057,
            0.0519665554,
            0.0526961051,
            0.0534256548,
            0.0541552044,
            0.0548847541,
            0.0556143038,
            0.0563438535,
            0.0570734031,
            0.0578029528,
            0.0585325025,
            0.0592620522,
            0.0599916019,
            0.0607211515,
            0.0616728216,
            0.0626455545,
            0.0636182874,
            0.0645910203,
            0.0655637532,
            0.0665364861,
            0.0675092191,
            0.068481952,
            0.0694546849,
            0.0704274178,
            0.0714001507,
            0.0723728836,
            0.0733456165,
            0.0743183494,
            0.0752910823,
            0.0762638152,
            0.0770450607,
            0.0777746141,
            0.07850416,
            0.0792337134,
            0.0799632594,
            0.0806928128,
            0.0814223588,
            0.0821519122,
            0.0828814581,
            0.0836110115,
            0.0843405575,
            0.0850701034,
            0.0857996568,
            0.0865292102,
            0.0872587562,
            0.0879883021,
            0.0892003924,
            0.0906594917,
            0.0921185911,
            0.0935776904,
            0.0950367898,
            0.0964958891,
            0.0979549885,
            0.0994140878,
            0.100873187,
            0.102332287,
            0.103791386,
            0.105250485,
            0.106709585,
            0.108168684,
            0.109627783,
            0.111086875,
            0.112155356,
            0.112884901,
            0.113614455,
            0.114344001,
            0.115073554,
            0.1158031,
            0.116532654,
            0.1172622,
            0.117991753,
            0.118721299,
            0.119450852,
            0.120180398,
            0.120909952,
            0.121639498,
            0.122369051,
            0.123098597,
            0.12392772,
            0.124900453,
            0.125873178,
            0.126845911,
            0.127818644,
            0.128791377,
            0.12976411,
            0.130736843,
            0.131709576,
            0.132682309,
            0.133655041,
            0.134627774,
            0.135600507,
            0.13657324,
            0.137545973,
            0.138518706,
            0.139836118,
            0.142024755,
            0.144213408,
            0.146402061,
            0.148590714,
            0.150779352,
            0.152968004,
            0.155156657,
            0.157345295,
            0.159533948,
            0.1617226,
            0.163911253,
            0.166099891,
            0.168288544,
            0.170477197,
            0.172665834,
            0.174624711,
            0.175354257,
            0.176083818,
            0.176813364,
            0.17754291,
            0.178272456,
            0.179002017,
            0.179731563,
            0.180461109,
            0.181190655,
            0.181920215,
            0.182649761,
            0.183379307,
            0.184108853,
            0.184838414,
            0.18556796,
            0.186305165,
            0.187277898,
            0.188250646,
            0.189223379,
            0.190196112,
            0.191168845,
            0.192141578,
            0.193114325,
            0.194087058,
            0.195059791,
            0.196032524,
            0.197005272,
            0.197978005,
            0.198950738,
            0.199923471,
            0.200896218,
            0.201868951,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201325133,
            0.200352401,
            0.199379668,
            0.19840692,
            0.197434187,
            0.196461454,
            0.195488721,
            0.194515973,
            0.19354324,
            0.192570508,
            0.191597775,
            0.190625042,
            0.189652294,
            0.188679561,
            0.187706828,
            0.186734095,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.1865426,
            0.187515348,
            0.188488081,
            0.189460814,
            0.190433547,
            0.191406295,
            0.192379028,
            0.193351761,
            0.194324493,
            0.195297241,
            0.196269974,
            0.197242707,
            0.19821544,
            0.199188173,
            0.200160921,
            0.201133654,
            0.201815337,
            0.200842604,
            0.199869856,
            0.198897123,
            0.19792439,
            0.196951658,
            0.19597891,
            0.195006177,
            0.194033444,
            0.193060711,
            0.192087963,
            0.19111523,
            0.190142497,
            0.189169765,
            0.188197017,
            0.187224284,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.184964791,
            0.183505699,
            0.182046592,
            0.1805875,
            0.179128408,
            0.177669317,
            0.17621021,
            0.174751118,
            0.173292026,
            0.171832934,
            0.170373827,
            0.168914735,
            0.167455643,
            0.165996552,
            0.16453746,
            0.163078353,
            0.161619261,
            0.160160154,
            0.158701047,
            0.15724194,
            0.155782849,
            0.154323742,
            0.152864635,
            0.151405543,
            0.149946436,
            0.148487329,
            0.147028223,
            0.145569116,
            0.144110024,
            0.142650917,
            0.14119181,
            0.139732718,
            0.138587639,
            0.137614906,
            0.136642173,
            0.13566944,
            0.134696707,
            0.133723974,
            0.132751241,
            0.131778508,
            0.130805776,
            0.129833043,
            0.12886031,
            0.127887577,
            0.126914844,
            0.125942111,
            0.124969386,
            0.123996653,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.123529434,
            0.124272391,
            0.125245124,
            0.126217857,
            0.12719059,
            0.128163323,
            0.129136056,
            0.130108789,
            0.131081522,
            0.132054254,
            0.133026987,
            0.13399972,
            0.134972453,
            0.135945186,
            0.136917919,
            0.137890652,
            0.138863385,
            0.139681011,
            0.140410557,
            0.141140103,
            0.141869664,
            0.14259921,
            0.143328756,
            0.144058302,
            0.144787863,
            0.145517409,
            0.146246955,
            0.146976501,
            0.147706062,
            0.148435608,
            0.149165154,
            0.149894699,
            0.15062426,
            0.151353806,
            0.152083367,
            0.152812913,
            0.153542459,
            0.15427202,
            0.155001566,
            0.155731127,
            0.156460673,
            0.157190233,
            0.157919779,
            0.15864934,
            0.159378886,
            0.160108447,
            0.160837993,
            0.161567554,
            0.1622971,
            0.163308129,
            0.164767236,
            0.166226327,
            0.167685419,
            0.169144511,
            0.170603618,
            0.17206271,
            0.173521802,
            0.174980894,
            0.176440001,
            0.177899092,
            0.179358184,
            0.180817276,
            0.182276383,
            0.183735475,
            0.185194567,
            0.186716855,
            0.188419133,
            0.190121412,
            0.191823706,
            0.193525985,
            0.195228264,
            0.196930543,
            0.198632836,
            0.200335115,
            0.202037394,
            0.203739673,
            0.205441952,
            0.207144246,
            0.208846524,
            0.210548803,
            0.212251097,
            0.213920817,
            0.215379924,
            0.216839015,
            0.218298122,
            0.219757214,
            0.221216321,
            0.222675413,
            0.22413452,
            0.225593612,
            0.227052718,
            0.22851181,
            0.229970917,
            0.231430009,
            0.232889116,
            0.234348208,
            0.2358073,
            0.237260669,
            0.237990215,
            0.238719761,
            0.239449307,
            0.240178853,
            0.240908414,
            0.24163796,
            0.242367506,
            0.243097052,
            0.243826613,
            0.244556159,
            0.245285705,
            0.246015251,
            0.246744812,
            0.247474357,
            0.248203903,
            0.248933449,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249387264,
            0.250116825,
            0.250846386,
            0.251575917,
            0.252305478,
            0.253035039,
            0.2537646,
            0.254494131,
            0.255223691,
            0.255953252,
            0.256682813,
            0.257412344,
            0.258141905,
            0.258871466,
            0.259601027,
            0.260330558,
            0.26142776,
            0.263130039,
            0.264832348,
            0.266534626,
            0.268236905,
            0.269939184,
            0.271641463,
            0.273343742,
            0.275046021,
            0.2767483,
            0.278450608,
            0.280152887,
            0.281855166,
            0.283557445,
            0.285259724,
            0.286962003,
            0.288603008,
            0.2900621,
            0.291521221,
            0.292980313,
            0.294439405,
            0.295898497,
            0.297357619,
            0.298816711,
            0.300275803,
            0.301734895,
            0.303194016,
            0.304653108,
            0.3061122,
            0.307571292,
            0.309030414,
            0.310489506,
            0.311979234,
            0.313681513,
            0.315383792,
            0.317086071,
            0.318788379,
            0.320490658,
            0.322192937,
            0.323895216,
            0.325597495,
            0.327299774,
            0.329002053,
            0.330704331,
            0.33240664,
            0.334108919,
            0.335811198,
            0.337513477
          ],
          [
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362107515,
            0.361377984,
            0.360648423,
            0.359918892,
            0.359189332,
            0.358459771,
            0.35773024,
            0.357000679,
            0.356271118,
            0.355541587,
            0.354812026,
            0.354082495,
            0.353352934,
            0.352623373,
            0.351893842,
            0.351164281,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.351434261,
            0.352163821,
            0.352893382,
            0.353622913,
            0.354352474,
            0.355082035,
            0.355811566,
            0.356541127,
            0.357270658,
            0.358000219,
            0.35872978,
            0.359459311,
            0.360188872,
            0.360918432,
            0.361647964,
            0.362377524,
            0.363107055,
            0.363836616,
            0.364566177,
            0.365295708,
            0.366025269,
            0.36675483,
            0.367484361,
            0.368213922,
            0.368943453,
            0.369673014,
            0.370402575,
            0.371132106,
            0.371861666,
            0.372591227,
            0.373320758,
            0.374050319,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.37459603,
            0.37532559,
            0.376055151,
            0.376784682,
            0.377514243,
            0.378243774,
            0.378973335,
            0.379702896,
            0.380432427,
            0.381161988,
            0.381891549,
            0.38262108,
            0.383350641,
            0.384080172,
            0.384809732,
            0.385539293,
            0.386268824,
            0.387239635,
            0.388212383,
            0.389185101,
            0.390157849,
            0.391130567,
            0.392103314,
            0.393076032,
            0.39404878,
            0.395021498,
            0.395994246,
            0.396966964,
            0.397939712,
            0.39891243,
            0.399885178,
            0.400857896,
            0.401830643,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.402408928,
            0.403138459,
            0.40386802,
            0.404597551,
            0.405327111,
            0.406056643,
            0.406786203,
            0.407515734,
            0.408245295,
            0.408974826,
            0.409704387,
            0.410433918,
            0.411163479,
            0.41189301,
            0.412622571,
            0.413352102,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413553149,
            0.412823617,
            0.412094057,
            0.411364526,
            0.410634965,
            0.409905434,
            0.409175873,
            0.408446342,
            0.407716781,
            0.40698725,
            0.406257689,
            0.405528158,
            0.404798597,
            0.404069066,
            0.403339505,
            0.402609974,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.401125997,
            0.40015325,
            0.399180532,
            0.398207784,
            0.397235066,
            0.396262318,
            0.3952896,
            0.394316852,
            0.393344134,
            0.392371386,
            0.391398668,
            0.39042592,
            0.389453202,
            0.388480455,
            0.387507737,
            0.386534989,
            0.38574034,
            0.385010779,
            0.384281248,
            0.383551687,
            0.382822126,
            0.382092595,
            0.381363034,
            0.380633503,
            0.379903942,
            0.379174381,
            0.37844485,
            0.37771529,
            0.376985729,
            0.376256198,
            0.375526637,
            0.374797106,
            0.374067545,
            0.373337984,
            0.372608453,
            0.371878892,
            0.371149361,
            0.3704198,
            0.369690239,
            0.368960708,
            0.368231148,
            0.367501587,
            0.366772056,
            0.366042495,
            0.365312964,
            0.364583403,
            0.363853842,
            0.363124311,
            0.36239475,
            0.361665189,
            0.360935658,
            0.360206097,
            0.359476566,
            0.358747005,
            0.358017445,
            0.357287914,
            0.356558353,
            0.355828792,
            0.355099261,
            0.3543697,
            0.353640169,
            0.352910608,
            0.352181047,
            0.351451516,
            0.350377291,
            0.348675013,
            0.346972734,
            0.345270455,
            0.343568146,
            0.341865867,
            0.340163589,
            0.33846131,
            0.336759031,
            0.335056752,
            0.333354473,
            0.331652194,
            0.329949915,
            0.328247607,
            0.326545328,
            0.324843049,
            0.323196292,
            0.3217372,
            0.320278108,
            0.318819016,
            0.317359895,
            0.315900803,
            0.314441711,
            0.312982619,
            0.311523497,
            0.310064405,
            0.308605313,
            0.307146221,
            0.3056871,
            0.304228008,
            0.302768916,
            0.301309824,
            0.299850702,
            0.29839161,
            0.296932518,
            0.295473427,
            0.294014335,
            0.292555243,
            0.291096151,
            0.289637059,
            0.288177937,
            0.286718845,
            0.285259753,
            0.283800662,
            0.28234157,
            0.280882478,
            0.279423386,
            0.277964294,
            0.276505172,
            0.275520951,
            0.274548233,
            0.273575485,
            0.272602767,
            0.271630019,
            0.270657271,
            0.269684553,
            0.268711805,
            0.267739058,
            0.26676634,
            0.265793592,
            0.264820874,
            0.263848126,
            0.262875378,
            0.26190266,
            0.260929912,
            0.260163993,
            0.259434432,
            0.258704871,
            0.25797531,
            0.257245779,
            0.256516218,
            0.255786657,
            0.255057096,
            0.254327565,
            0.253598005,
            0.252868444,
            0.252138883,
            0.251409352,
            0.250679791,
            0.24995023,
            0.249220684,
            0.248491123,
            0.247761577,
            0.247032031,
            0.246302485,
            0.245572925,
            0.244843379,
            0.244113833,
            0.243384287,
            0.242654741,
            0.24192518,
            0.241195634,
            0.240466088,
            0.239736527,
            0.239006981,
            0.238277435,
            0.237547889,
            0.236381754,
            0.234922662,
            0.233463556,
            0.232004464,
            0.230545357,
            0.229086265,
            0.227627158,
            0.226168066,
            0.224708959,
            0.223249868,
            0.221790761,
            0.220331669,
            0.218872562,
            0.21741347,
            0.215954363,
            0.214495271,
            0.212576613,
            0.210144773,
            0.207712948,
            0.205281109,
            0.202849284,
            0.200417444,
            0.197985619,
            0.19555378,
            0.193121955,
            0.19069013,
            0.18825829,
            0.185826451,
            0.183394626,
            0.180962801,
            0.178530961,
            0.176099122,
            0.174004301,
            0.17254521,
            0.171086103,
            0.169627011,
            0.168167919,
            0.166708812,
            0.16524972,
            0.163790613,
            0.162331522,
            0.160872415,
            0.159413323,
            0.157954216,
            0.156495124,
            0.155036017,
            0.153576925,
            0.152117819,
            0.15081957,
            0.150090024,
            0.149360463,
            0.148630917,
            0.147901371,
            0.147171825,
            0.146442264,
            0.145712718,
            0.144983172,
            0.144253626,
            0.143524066,
            0.14279452,
            0.142064974,
            0.141335428,
            0.140605867,
            0.139876321,
            0.139054865,
            0.137352586,
            0.135650292,
            0.133948013,
            0.132245734,
            0.130543455,
            0.128841162,
            0.127138883,
            0.125436604,
            0.123734318,
            0.122032039,
            0.120329753,
            0.118627474,
            0.116925195,
            0.115222909,
            0.113520622,
            0.111818343,
            0.110351585,
            0.108892485,
            0.107433386,
            0.105974287,
            0.104515187,
            0.103056088,
            0.101596989,
            0.100137889,
            0.09867879,
            0.0972196907,
            0.0957605913,
            0.094301492,
            0.0928424001,
            0.0913832933,
            0.0899242014,
            0.0884650946,
            0.0876206607,
            0.0868911073,
            0.0861615613,
            0.0854320079,
            0.084702462,
            0.0839729086,
            0.0832433626,
            0.0825138092,
            0.0817842633,
            0.0810547099,
            0.0803251639,
            0.0795956105,
            0.0788660645,
            0.0781365111,
            0.0774069652,
            0.0766774118,
            0.0757736191,
            0.0748008862,
            0.0738281533,
            0.0728554204,
            0.0718826875,
            0.0709099546,
            0.0699372217,
            0.0689644888,
            0.0679917559,
            0.067019023,
            0.0660462901,
            0.0650735572,
            0.0641008243,
            0.0631280914,
            0.0621553585,
            0.0611826256,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.06123624,
            0.0622089729,
            0.0631817058,
            0.0641544387,
            0.0651271716,
            0.0660999045,
            0.0670726374,
            0.0680453703,
            0.0690181032,
            0.0699908361,
            0.070963569,
            0.0719363019,
            0.0729090348,
            0.0738817677,
            0.0748545006,
            0.0758272335,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0763231739,
            0.0746208876,
            0.0729186088,
            0.0712163225,
            0.0695140436,
            0.0678117573,
            0.0661094785,
            0.0644071922,
            0.0627049133,
            0.0610026307,
            0.0593003482,
            0.0575980656,
            0.055895783,
            0.0541935004,
            0.0524912179,
            0.0507889353,
            0.0490866527,
            0.0476179793,
            0.04615888,
            0.0446997806,
            0.0432406813,
            0.0417815819,
            0.0403224826,
            0.0388633832,
            0.0374042839,
            0.0359451883,
            0.0344860889,
            0.0330269895,
            0.0315678902,
            0.0301087908,
            0.0286496915,
            0.0271905921,
            0.0257314928,
            0.0248813089,
            0.0241517592,
            0.0234222095,
            0.0226926599,
            0.0219631102,
            0.0212335605,
            0.0205040108,
            0.0197744612,
            0.0190449134,
            0.0183153637,
            0.017585814,
            0.0168562643,
            0.0161267146,
            0.015397164,
            0.0146676144,
            0.0139380647,
            0.012519177,
            0.0108168945,
            0.00911461283,
            0.00741233025,
            0.00571004767,
            0.00400776509,
            0.00230548345,
            0.000603200868,
            -0.00109908171,
            -0.00280136429,
            -0.00450364687,
            -0.00620592944,
            -0.00790821202,
            -0.00961049274,
            -0.0113127753,
            -0.0130150579,
            -0.0145756435,
            -0.0160347428,
            -0.0174938422,
            -0.0189529415,
            -0.020412039,
            -0.0218711384,
            -0.0233302377,
            -0.0247893371,
            -0.0262484364,
            -0.0277075358,
            -0.0291666351,
            -0.0306257345,
            -0.0320848338,
            -0.0335439332,
            -0.0350030325,
            -0.0364621319,
            -0.0383654721,
            -0.0407973006,
            -0.0432291329,
            -0.0456609651,
            -0.0480927974,
            -0.0505246297,
            -0.0529564619,
            -0.0553882942,
            -0.0578201264,
            -0.0602519587,
            -0.0626837909,
            -0.0651156232,
            -0.0675474554,
            -0.0699792877,
            -0.0724111199,
            -0.0748429447,
            -0.0771943554,
            -0.0793830082,
            -0.0815716535,
            -0.0837602988,
            -0.0859489441,
            -0.0881375968,
            -0.0903262421,
            -0.0925148875,
            -0.0947035328,
            -0.0968921781,
            -0.0990808308,
            -0.101269476,
            -0.103458121,
            -0.105646767,
            -0.107835412,
            -0.110024065,
            -0.112113141,
            -0.113815427,
            -0.115517713,
            -0.117219999,
            -0.118922286,
            -0.120624572,
            -0.122326858,
            -0.124029145,
            -0.125731423,
            -0.127433717,
            -0.129135996,
            -0.13083829,
            -0.132540569,
            -0.134242862,
            -0.135945141,
            -0.137647435,
            -0.139273122,
            -0.140002668,
            -0.140732229,
            -0.141461775,
            -0.142191321,
            -0.142920867,
            -0.143650427,
            -0.144379973,
            -0.145109519,
            -0.145839065,
            -0.146568626,
            -0.147298172,
            -0.148027718,
            -0.148757264,
            -0.14948681,
            -0.150216371,
            -0.150945917,
            -0.151675463,
            -0.152405009,
            -0.15313457,
            -0.153864115,
            -0.154593661,
            -0.155323207,
            -0.156052768,
            -0.156782314,
            -0.15751186,
            -0.158241406,
            -0.158970967,
            -0.159700513,
            -0.160430059,
            -0.161159605,
            -0.161889166,
            -0.162618712,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.163164437,
            -0.163893983,
            -0.164623529,
            -0.16535309,
            -0.166082636,
            -0.166812181,
            -0.167541727,
            -0.168271288,
            -0.169000834,
            -0.16973038,
            -0.170459926,
            -0.171189487,
            -0.171919033,
            -0.172648579,
            -0.173378125,
            -0.174107686,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174274266,
            -0.17354472,
            -0.172815174,
            -0.172085628,
            -0.171356067,
            -0.170626521,
            -0.169896975,
            -0.169167429,
            -0.168437868,
            -0.167708322,
            -0.166978776,
            -0.166249231,
            -0.16551967,
            -0.164790124,
            -0.164060578,
            -0.163331032,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162796795,
            -0.163526341,
            -0.164255887,
            -0.164985433,
            -0.165714994,
            -0.16644454,
            -0.167174086,
            -0.167903632,
            -0.168633193,
            -0.169362739,
            -0.170092285,
            -0.170821831,
            -0.171551377,
            -0.172280937,
            -0.173010483,
            -0.173740029,
            -0.174469575,
            -0.175888464,
            -0.177347571,
            -0.178806663,
            -0.180265769,
            -0.181724861,
            -0.183183968,
            -0.18464306,
            -0.186102167,
            -0.187561259,
            -0.189020365,
            -0.190479457,
            -0.191938564,
            -0.193397656,
            -0.194856763,
            -0.196315855,
            -0.197774962,
            -0.198835775,
            -0.199808508,
            -0.200781241,
            -0.201753974,
            -0.202726707,
            -0.20369944,
            -0.204672173,
            -0.205644906,
            -0.206617638,
            -0.207590371,
            -0.208563104,
            -0.209535837,
            -0.21050857,
            -0.211481303,
            -0.212454036,
            -0.213426769,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.21341911,
            -0.212446377,
            -0.211473644,
            -0.210500911,
            -0.209528178,
            -0.208555445,
            -0.207582712,
            -0.206609979,
            -0.205637246,
            -0.204664513,
            -0.203691781,
            -0.202719048,
            -0.201746315,
            -0.200773582,
            -0.199800849,
            -0.198828116,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198950663,
            -0.199923396,
            -0.200896129,
            -0.201868862,
            -0.202841595,
            -0.203814328,
            -0.204787061,
            -0.205759794,
            -0.206732526,
            -0.207705259,
            -0.208677992,
            -0.209650725,
            -0.210623458,
            -0.211596191,
            -0.212568924,
            -0.213541657,
            -0.214317158,
            -0.215046704,
            -0.215776265,
            -0.216505811,
            -0.217235357,
            -0.217964903,
            -0.218694463,
            -0.219424009,
            -0.220153555,
            -0.220883101,
            -0.221612662,
            -0.222342208,
            -0.223071754,
            -0.2238013,
            -0.224530846,
            -0.225260407,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225082323,
            -0.224352777,
            -0.223623231,
            -0.22289367,
            -0.222164124,
            -0.221434578,
            -0.220705032,
            -0.219975471,
            -0.219245926,
            -0.21851638,
            -0.217786834,
            -0.217057273,
            -0.216327727,
            -0.215598181,
            -0.214868635,
            -0.214139074,
            -0.213304222,
            -0.212331489,
            -0.211358756,
            -0.210386023,
            -0.20941329,
            -0.208440557,
            -0.207467824,
            -0.206495091,
            -0.205522358,
            -0.204549626,
            -0.203576893,
            -0.20260416,
            -0.201631427,
            -0.200658694,
            -0.199685961,
            -0.198713228,
            -0.197815165,
            -0.197085619,
            -0.196356073,
            -0.195626527,
            -0.194896966,
            -0.19416742,
            -0.193437874,
            -0.192708328,
            -0.191978768,
            -0.191249222,
            -0.190519676,
            -0.18979013,
            -0.189060569,
            -0.188331023,
            -0.187601477,
            -0.186871931,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.185596645,
            -0.184867099,
            -0.184137553,
            -0.183408007,
            -0.182678446,
            -0.1819489,
            -0.181219354,
            -0.180489808,
            -0.179760247,
            -0.179030702,
            -0.178301156,
            -0.17757161,
            -0.176842049,
            -0.176112503,
            -0.175382957,
            -0.174653411,
            -0.17392385,
            -0.173194304,
            -0.172464758,
            -0.171735212,
            -0.171005651,
            -0.170276105,
            -0.169546559,
            -0.168817014,
            -0.168087453,
            -0.167357907,
            -0.166628361,
            -0.165898815,
            -0.165169269,
            -0.164439708,
            -0.163710162,
            -0.162980616,
            -0.161757037,
            -0.16029793,
            -0.158838838,
            -0.157379746,
            -0.15592064,
            -0.154461548,
            -0.153002441,
            -0.151543349,
            -0.150084242,
            -0.14862515,
            -0.147166044,
            -0.145706952,
            -0.144247845,
            -0.142788753,
            -0.141329646,
            -0.139870554,
            -0.138679519,
            -0.137706786,
            -0.136734053,
            -0.135761321,
            -0.134788588,
            -0.133815855,
            -0.132843122,
            -0.131870389,
            -0.130897641,
            -0.129924908,
            -0.128952175,
            -0.127979442,
            -0.12700671,
            -0.126033977,
            -0.125061244,
            -0.124088503,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123402998,
            -0.122673444,
            -0.121943891,
            -0.121214345,
            -0.120484792,
            -0.119755238,
            -0.119025685,
            -0.118296139,
            -0.117566586,
            -0.116837032,
            -0.116107479,
            -0.115377933,
            -0.114648379,
            -0.113918826,
            -0.113189273,
            -0.112459727,
            -0.111695707,
            -0.110236607,
            -0.108777508,
            -0.107318416,
            -0.105859317,
            -0.104400218,
            -0.102941126,
            -0.101482026,
            -0.100022927,
            -0.0985638276,
            -0.0971047357,
            -0.0956456363,
            -0.094186537,
            -0.0927274376,
            -0.0912683457,
            -0.0898092464,
            -0.088350147,
            -0.0866670161,
            -0.0849647298,
            -0.083262451,
            -0.0815601647,
            -0.0798578858,
            -0.078155607,
            -0.0764533207,
            -0.0747510344,
            -0.0730487555,
            -0.0713464767,
            -0.0696441904,
            -0.0679419041,
            -0.0662396252,
            -0.0645373464,
            -0.0628350601,
            -0.0611327812,
            -0.0596238934,
            -0.058164794,
            -0.0567056946,
            -0.0552465953,
            -0.0537874997,
            -0.0523284003,
            -0.050869301,
            -0.0494102016,
            -0.0479511023,
            -0.0464920029,
            -0.0450329036,
            -0.0435738042,
            -0.0421147048,
            -0.0406556055,
            -0.0391965061,
            -0.0377374068,
            -0.0367665887,
            -0.036037039,
            -0.0353074893,
            -0.0345779397,
            -0.03384839,
            -0.0331188403,
            -0.0323892906,
            -0.031659741,
            -0.0309301913,
            -0.0302006416,
            -0.0294710919,
            -0.0287415422,
            -0.0280119926,
            -0.0272824429,
            -0.0265528932,
            -0.0258233435,
            -0.0250937957,
            -0.0243642461,
            -0.0236346964,
            -0.0229051467,
            -0.022175597,
            -0.0214460474,
            -0.0207164977,
            -0.019986948,
            -0.0192573983,
            -0.0185278486,
            -0.017798299,
            -0.0170687512,
            -0.0163392015,
            -0.0156096509,
            -0.0148801012,
            -0.0141505515,
            -0.0130150579,
            -0.0113127753,
            -0.00961049367,
            -0.00790821109,
            -0.00620592898,
            -0.00450364687,
            -0.00280136429,
            -0.00109908171,
            0.000603200868,
            0.00230548345,
            0.00400776602,
            0.0057100486,
            0.00741232932,
            0.00911461189,
            0.0108168945,
            0.012519177,
            0.0141506111,
            0.0156097105,
            0.0170688089,
            0.0185279083,
            0.0199870076,
            0.021446107,
            0.0229052063,
            0.0243643057,
            0.0258234031,
            0.0272825025,
            0.0287416019,
            0.0302007012,
            0.0316598006,
            0.0331188999,
            0.0345779993,
            0.0360370986,
            0.0373755619,
            0.0381051116,
            0.0388346612,
            0.0395642109,
            0.0402937606,
            0.0410233103,
            0.04175286,
            0.0424824096,
            0.0432119593,
            0.043941509,
            0.0446710587,
            0.0454006083,
            0.046130158,
            0.0468597077,
            0.0475892574,
            0.048318807,
            0.0490483567,
            0.0497779064,
            0.0505074561,
            0.0512370057,
            0.0519665554,
            0.0526961051,
            0.0534256548,
            0.0541552044,
            0.0548847541,
            0.0556143038,
            0.0563438535,
            0.0570734031,
            0.0578029528,
            0.0585325025,
            0.0592620522,
            0.0599916019,
            0.0607211515,
            0.0616728216,
            0.0626455545,
            0.0636182874,
            0.0645910203,
            0.0655637532,
            0.0665364861,
            0.0675092191,
            0.068481952,
            0.0694546849,
            0.0704274178,
            0.0714001507,
            0.0723728836,
            0.0733456165,
            0.0743183494,
            0.0752910823,
            0.0762638152,
            0.0770450607,
            0.0777746141,
            0.07850416,
            0.0792337134,
            0.0799632594,
            0.0806928128,
            0.0814223588,
            0.0821519122,
            0.0828814581,
            0.0836110115,
            0.0843405575,
            0.0850701034,
            0.0857996568,
            0.0865292102,
            0.0872587562,
            0.0879883021,
            0.0887178555,
            0.0894474015,
            0.0901769549,
            0.0909065008,
            0.0916360542,
            0.0923656002,
            0.0930951536,
            0.0938246995,
            0.0945542529,
            0.0952837989,
            0.0960133523,
            0.0967428982,
            0.0974724516,
            0.0982019976,
            0.098931551,
            0.0996610969,
            0.10039065,
            0.101120196,
            0.10184975,
            0.102579296,
            0.103308849,
            0.104038395,
            0.104767948,
            0.105497494,
            0.106227048,
            0.106956594,
            0.107686147,
            0.108415693,
            0.109145246,
            0.109874792,
            0.110604346,
            0.111333892,
            0.112461723,
            0.11416401,
            0.115866289,
            0.117568575,
            0.119270854,
            0.12097314,
            0.122675419,
            0.124377705,
            0.126079991,
            0.12778227,
            0.129484549,
            0.131186828,
            0.132889122,
            0.134591401,
            0.136293679,
            0.137995958,
            0.139629304,
            0.141088411,
            0.142547518,
            0.144006625,
            0.145465717,
            0.146924824,
            0.14838393,
            0.149843037,
            0.151302129,
            0.152761236,
            0.154220343,
            0.155679449,
            0.157138541,
            0.158597648,
            0.160056755,
            0.161515862,
            0.162974954,
            0.164434046,
            0.165893152,
            0.167352244,
            0.168811336,
            0.170270428,
            0.171729535,
            0.173188627,
            0.174647719,
            0.176106811,
            0.177565917,
            0.179025009,
            0.180484101,
            0.181943193,
            0.1834023,
            0.184861392,
            0.186305165,
            0.187277898,
            0.188250646,
            0.189223379,
            0.190196112,
            0.191168845,
            0.192141578,
            0.193114325,
            0.194087058,
            0.195059791,
            0.196032524,
            0.197005272,
            0.197978005,
            0.198950738,
            0.199923471,
            0.200896218,
            0.201868951,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201325133,
            0.200352401,
            0.199379668,
            0.19840692,
            0.197434187,
            0.196461454,
            0.195488721,
            0.194515973,
            0.19354324,
            0.192570508,
            0.191597775,
            0.190625042,
            0.189652294,
            0.188679561,
            0.187706828,
            0.186734095,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186165377,
            0.185435832,
            0.184706286,
            0.18397674,
            0.183247179,
            0.182517633,
            0.181788087,
            0.181058541,
            0.18032898,
            0.179599434,
            0.178869888,
            0.178140342,
            0.177410781,
            0.176681235,
            0.175951689,
            0.175222144,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.173854962,
            0.173125416,
            0.17239587,
            0.171666324,
            0.170936778,
            0.170207232,
            0.169477686,
            0.16874814,
            0.168018594,
            0.167289048,
            0.166559502,
            0.165829957,
            0.165100411,
            0.164370865,
            0.163641319,
            0.162911773,
            0.162182212,
            0.161452666,
            0.160723105,
            0.159993559,
            0.159263998,
            0.158534452,
            0.157804891,
            0.157075346,
            0.156345785,
            0.155616239,
            0.154886678,
            0.154157132,
            0.153427571,
            0.152698025,
            0.151968464,
            0.151238918,
            0.150509372,
            0.149779812,
            0.149050266,
            0.14832072,
            0.147591174,
            0.146861613,
            0.146132067,
            0.145402521,
            0.144672975,
            0.143943414,
            0.143213868,
            0.142484322,
            0.141754776,
            0.141025215,
            0.140295669,
            0.139566123,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139215708,
            0.139319107,
            0.140048653,
            0.140778214,
            0.14150776,
            0.142237306,
            0.142966852,
            0.143696412,
            0.144425958,
            0.145155504,
            0.14588505,
            0.146614611,
            0.147344157,
            0.148073703,
            0.148803249,
            0.149532795,
            0.150262356,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151445717,
            0.152175277,
            0.152904823,
            0.153634384,
            0.15436393,
            0.155093491,
            0.155823037,
            0.156552598,
            0.157282144,
            0.158011705,
            0.158741251,
            0.159470811,
            0.160200357,
            0.160929918,
            0.161659464,
            0.16238901,
            0.163491964,
            0.164951056,
            0.166410148,
            0.16786924,
            0.169328347,
            0.170787439,
            0.172246531,
            0.173705623,
            0.175164729,
            0.176623821,
            0.178082913,
            0.179542005,
            0.181001097,
            0.182460204,
            0.183919296,
            0.185378388,
            0.186931312,
            0.188633591,
            0.190335885,
            0.192038164,
            0.193740442,
            0.195442721,
            0.197145015,
            0.198847294,
            0.200549573,
            0.202251852,
            0.20395413,
            0.205656424,
            0.207358703,
            0.209060982,
            0.210763276,
            0.212465554,
            0.214104638,
            0.215563744,
            0.217022836,
            0.218481943,
            0.219941035,
            0.221400142,
            0.222859234,
            0.22431834,
            0.225777432,
            0.227236539,
            0.228695631,
            0.230154738,
            0.23161383,
            0.233072937,
            0.234532028,
            0.235991135,
            0.237450227,
            0.238909334,
            0.240368441,
            0.241827533,
            0.243286639,
            0.244745746,
            0.246204853,
            0.247663945,
            0.249123052,
            0.250582159,
            0.25204125,
            0.253500372,
            0.254959464,
            0.256418556,
            0.257877678,
            0.25933677,
            0.260792047,
            0.261764795,
            0.262737513,
            0.26371026,
            0.264682978,
            0.265655726,
            0.266628474,
            0.267601192,
            0.26857394,
            0.269546688,
            0.270519406,
            0.271492153,
            0.272464871,
            0.273437619,
            0.274410367,
            0.275383085,
            0.276355833,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276838362,
            0.277567923,
            0.278297454,
            0.279027015,
            0.279756546,
            0.280486107,
            0.281215638,
            0.281945199,
            0.28267473,
            0.283404291,
            0.284133822,
            0.284863383,
            0.285592914,
            0.286322474,
            0.287052006,
            0.287781566,
            0.288786829,
            0.29024595,
            0.291705042,
            0.293164134,
            0.294623226,
            0.296082318,
            0.29754144,
            0.299000531,
            0.300459623,
            0.301918715,
            0.303377837,
            0.304836929,
            0.306296021,
            0.307755113,
            0.309214234,
            0.310673326,
            0.312193692,
            0.313895971,
            0.315598249,
            0.317300558,
            0.319002837,
            0.320705116,
            0.322407395,
            0.324109674,
            0.325811952,
            0.327514231,
            0.32921651,
            0.330918789,
            0.332621098,
            0.334323376,
            0.336025655,
            0.337727934,
            0.339399576,
            0.340858668,
            0.34231779,
            0.343776882,
            0.345235974,
            0.346695065,
            0.348154187,
            0.349613279,
            0.351072371,
            0.352531463,
            0.353990585,
            0.355449677,
            0.356908768,
            0.35836786,
            0.359826982,
            0.361286074
          ],
          [
            0.374509871,
            0.375239432,
            0.375968963,
            0.376698524,
            0.377428055,
            0.378157616,
            0.378887177,
            0.379616708,
            0.380346268,
            0.381075829,
            0.38180536,
            0.382534921,
            0.383264452,
            0.383994013,
            0.384723574,
            0.385453105,
            0.386182666,
            0.385636926,
            0.384907395,
            0.384177834,
            0.383448303,
            0.382718742,
            0.381989181,
            0.38125965,
            0.380530089,
            0.379800528,
            0.379070997,
            0.378341436,
            0.377611905,
            0.376882344,
            0.376152784,
            0.375423253,
            0.374693692,
            0.373964131,
            0.3732346,
            0.372505039,
            0.371775508,
            0.371045947,
            0.370316386,
            0.369586855,
            0.368857294,
            0.368127763,
            0.367398202,
            0.366668642,
            0.365939111,
            0.36520955,
            0.364479989,
            0.363750458,
            0.363020897,
            0.363198966,
            0.363928527,
            0.364658087,
            0.365387619,
            0.366117179,
            0.36684674,
            0.367576271,
            0.368305832,
            0.369035363,
            0.369764924,
            0.370494485,
            0.371224016,
            0.371953577,
            0.372683138,
            0.373412669,
            0.37414223,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.37477985,
            0.375509411,
            0.376238972,
            0.376968503,
            0.377698064,
            0.378427625,
            0.379157156,
            0.379886717,
            0.380616248,
            0.381345809,
            0.382075369,
            0.3828049,
            0.383534461,
            0.384263992,
            0.384993553,
            0.385723114,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386389464,
            0.387362212,
            0.38833493,
            0.389307678,
            0.390280396,
            0.391253144,
            0.392225862,
            0.393198609,
            0.394171327,
            0.395144075,
            0.396116793,
            0.397089541,
            0.398062259,
            0.399034977,
            0.400007725,
            0.400980473,
            0.401953191,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.402408928,
            0.403138459,
            0.40386802,
            0.404597551,
            0.405327111,
            0.406056643,
            0.406786203,
            0.407515734,
            0.408245295,
            0.408974826,
            0.409704387,
            0.410433918,
            0.411163479,
            0.41189301,
            0.412622571,
            0.413352102,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413553149,
            0.412823617,
            0.412094057,
            0.411364526,
            0.410634965,
            0.409905434,
            0.409175873,
            0.408446342,
            0.407716781,
            0.40698725,
            0.406257689,
            0.405528158,
            0.404798597,
            0.404069066,
            0.403339505,
            0.402609974,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.401125997,
            0.40015325,
            0.399180532,
            0.398207784,
            0.397235066,
            0.396262318,
            0.3952896,
            0.394316852,
            0.393344134,
            0.392371386,
            0.391398668,
            0.39042592,
            0.389453202,
            0.388480455,
            0.387507737,
            0.386534989,
            0.38574034,
            0.385010779,
            0.384281248,
            0.383551687,
            0.382822126,
            0.382092595,
            0.381363034,
            0.380633503,
            0.379903942,
            0.379174381,
            0.37844485,
            0.37771529,
            0.376985729,
            0.376256198,
            0.375526637,
            0.374797106,
            0.374067545,
            0.373337984,
            0.372608453,
            0.371878892,
            0.371149361,
            0.3704198,
            0.369690239,
            0.368960708,
            0.368231148,
            0.367501587,
            0.366772056,
            0.366042495,
            0.365312964,
            0.364583403,
            0.363853842,
            0.363124311,
            0.36239475,
            0.361665189,
            0.360935658,
            0.360206097,
            0.359476566,
            0.358747005,
            0.358017445,
            0.357287914,
            0.356558353,
            0.355828792,
            0.355099261,
            0.3543697,
            0.353640169,
            0.352910608,
            0.352181047,
            0.351451516,
            0.350377291,
            0.348675013,
            0.346972734,
            0.345270455,
            0.343568146,
            0.341865867,
            0.340163589,
            0.33846131,
            0.336759031,
            0.335056752,
            0.333354473,
            0.331652194,
            0.329949915,
            0.328247607,
            0.326545328,
            0.324843049,
            0.323196292,
            0.3217372,
            0.320278108,
            0.318819016,
            0.317359895,
            0.315900803,
            0.314441711,
            0.312982619,
            0.311523497,
            0.310064405,
            0.308605313,
            0.307146221,
            0.3056871,
            0.304228008,
            0.302768916,
            0.301309824,
            0.299850702,
            0.29839161,
            0.296932518,
            0.295473427,
            0.294014335,
            0.292555243,
            0.291096151,
            0.289637059,
            0.288177937,
            0.286718845,
            0.285259753,
            0.283800662,
            0.28234157,
            0.280882478,
            0.279423386,
            0.277964294,
            0.276505172,
            0.275520951,
            0.274548233,
            0.273575485,
            0.272602767,
            0.271630019,
            0.270657271,
            0.269684553,
            0.268711805,
            0.267739058,
            0.26676634,
            0.265793592,
            0.264820874,
            0.263848126,
            0.262875378,
            0.26190266,
            0.260929912,
            0.260163993,
            0.259434432,
            0.258704871,
            0.25797531,
            0.257245779,
            0.256516218,
            0.255786657,
            0.255057096,
            0.254327565,
            0.253598005,
            0.252868444,
            0.252138883,
            0.251409352,
            0.250679791,
            0.24995023,
            0.249220684,
            0.248491123,
            0.247761577,
            0.247032031,
            0.246302485,
            0.245572925,
            0.244843379,
            0.244113833,
            0.243384287,
            0.242654741,
            0.24192518,
            0.241195634,
            0.240466088,
            0.239736527,
            0.239006981,
            0.238277435,
            0.237547889,
            0.236381754,
            0.234922662,
            0.233463556,
            0.232004464,
            0.230545357,
            0.229086265,
            0.227627158,
            0.226168066,
            0.224708959,
            0.223249868,
            0.221790761,
            0.220331669,
            0.218872562,
            0.21741347,
            0.215954363,
            0.214495271,
            0.212231949,
            0.209070563,
            0.205909193,
            0.202747807,
            0.199586436,
            0.19642505,
            0.19326368,
            0.190102294,
            0.186940923,
            0.183779538,
            0.180618167,
            0.177456781,
            0.174295411,
            0.171134025,
            0.167972654,
            0.164811283,
            0.161902651,
            0.159470811,
            0.157038987,
            0.154607147,
            0.152175307,
            0.149743468,
            0.147311643,
            0.144879803,
            0.142447963,
            0.140016139,
            0.137584299,
            0.135152459,
            0.132720619,
            0.13028878,
            0.127856955,
            0.125425115,
            0.123368591,
            0.122639038,
            0.121909492,
            0.121179938,
            0.120450392,
            0.119720839,
            0.118991293,
            0.11826174,
            0.117532194,
            0.11680264,
            0.116073094,
            0.115343541,
            0.114613995,
            0.113884442,
            0.113154896,
            0.112425342,
            0.111695796,
            0.110966243,
            0.110236697,
            0.109507143,
            0.108777598,
            0.108048044,
            0.107318498,
            0.106588945,
            0.105859399,
            0.105129845,
            0.104400299,
            0.103670746,
            0.1029412,
            0.102211654,
            0.101482101,
            0.100752547,
            0.100023001,
            0.0992934555,
            0.0985639021,
            0.0978343561,
            0.0971048027,
            0.0963752568,
            0.0956457034,
            0.0949161574,
            0.094186604,
            0.0934570581,
            0.0927275047,
            0.0919979587,
            0.0912684053,
            0.0905388594,
            0.089809306,
            0.08907976,
            0.0883502066,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.087712571,
            0.0869830176,
            0.0862534717,
            0.0855239183,
            0.0847943723,
            0.0840648264,
            0.083335273,
            0.0826057196,
            0.0818761736,
            0.0811466277,
            0.0804170743,
            0.0796875209,
            0.0789579749,
            0.078228429,
            0.0774988756,
            0.0767693296,
            0.0758961663,
            0.0749234334,
            0.0739507005,
            0.0729779676,
            0.0720052347,
            0.0710325018,
            0.0700597689,
            0.069087036,
            0.0681143031,
            0.0671415702,
            0.0661688372,
            0.0651961043,
            0.0642233714,
            0.0632506385,
            0.0622779056,
            0.0613051727,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0611136891,
            0.062086422,
            0.0630591586,
            0.0640318915,
            0.0650046244,
            0.0659773573,
            0.0669500902,
            0.0679228231,
            0.0688955486,
            0.0698682815,
            0.0708410144,
            0.0718137473,
            0.0727864802,
            0.0737592131,
            0.074731946,
            0.0757046789,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0763231739,
            0.0746208876,
            0.0729186088,
            0.0712163225,
            0.0695140436,
            0.0678117573,
            0.0661094785,
            0.0644071922,
            0.0627049133,
            0.0610026307,
            0.0593003482,
            0.0575980656,
            0.055895783,
            0.0541935004,
            0.0524912179,
            0.0507889353,
            0.0490866527,
            0.0476179793,
            0.04615888,
            0.0446997806,
            0.0432406813,
            0.0417815819,
            0.0403224826,
            0.0388633832,
            0.0374042839,
            0.0359451883,
            0.0344860889,
            0.0330269895,
            0.0315678902,
            0.0301087908,
            0.0286496915,
            0.0271905921,
            0.0257314928,
            0.0248813089,
            0.0241517592,
            0.0234222095,
            0.0226926599,
            0.0219631102,
            0.0212335605,
            0.0205040108,
            0.0197744612,
            0.0190449134,
            0.0183153637,
            0.017585814,
            0.0168562643,
            0.0161267146,
            0.015397164,
            0.0146676144,
            0.0139380647,
            0.012519177,
            0.0108168945,
            0.00911461283,
            0.00741233025,
            0.00571004767,
            0.00400776509,
            0.00230548345,
            0.000603200868,
            -0.00109908171,
            -0.00280136429,
            -0.00450364687,
            -0.00620592944,
            -0.00790821202,
            -0.00961049274,
            -0.0113127753,
            -0.0130150579,
            -0.0150007354,
            -0.0171893835,
            -0.0193780325,
            -0.0215666816,
            -0.0237553306,
            -0.0259439796,
            -0.0281326286,
            -0.0303212758,
            -0.032509923,
            -0.0346985757,
            -0.036887221,
            -0.0390758738,
            -0.0412645191,
            -0.0434531718,
            -0.0456418172,
            -0.0478304662,
            -0.0501301773,
            -0.0525620058,
            -0.0549938381,
            -0.0574256703,
            -0.0598575026,
            -0.0622893348,
            -0.0647211671,
            -0.0671529993,
            -0.0695848316,
            -0.0720166638,
            -0.0744484961,
            -0.0768803284,
            -0.0793121606,
            -0.0817439929,
            -0.0841758251,
            -0.0866076499,
            -0.0889590606,
            -0.0911477134,
            -0.0933363587,
            -0.0955250114,
            -0.0977136567,
            -0.0999023095,
            -0.102090955,
            -0.104279608,
            -0.106468253,
            -0.108656906,
            -0.110845551,
            -0.113034204,
            -0.115222849,
            -0.117411494,
            -0.119600147,
            -0.1217888,
            -0.123728514,
            -0.124701254,
            -0.12567398,
            -0.126646727,
            -0.12761946,
            -0.128592193,
            -0.129564926,
            -0.130537659,
            -0.131510392,
            -0.132483125,
            -0.133455858,
            -0.134428591,
            -0.135401338,
            -0.136374071,
            -0.137346804,
            -0.138319537,
            -0.139273122,
            -0.140002668,
            -0.140732229,
            -0.141461775,
            -0.142191321,
            -0.142920867,
            -0.143650427,
            -0.144379973,
            -0.145109519,
            -0.145839065,
            -0.146568626,
            -0.147298172,
            -0.148027718,
            -0.148757264,
            -0.14948681,
            -0.150216371,
            -0.150945917,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.151399732,
            -0.152129278,
            -0.152858824,
            -0.153588384,
            -0.15431793,
            -0.155047476,
            -0.155777022,
            -0.156506583,
            -0.157236129,
            -0.157965675,
            -0.158695221,
            -0.159424782,
            -0.160154328,
            -0.160883874,
            -0.16161342,
            -0.162342981,
            -0.163072526,
            -0.163802072,
            -0.164531618,
            -0.165261179,
            -0.165990725,
            -0.166720271,
            -0.167449817,
            -0.168179378,
            -0.168908924,
            -0.16963847,
            -0.170368016,
            -0.171097577,
            -0.171827123,
            -0.172556669,
            -0.173286214,
            -0.17401576,
            -0.174274266,
            -0.17354472,
            -0.172815174,
            -0.172085628,
            -0.171356067,
            -0.170626521,
            -0.169896975,
            -0.169167429,
            -0.168437868,
            -0.167708322,
            -0.166978776,
            -0.166249231,
            -0.16551967,
            -0.164790124,
            -0.164060578,
            -0.163331032,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162796795,
            -0.163526341,
            -0.164255887,
            -0.164985433,
            -0.165714994,
            -0.16644454,
            -0.167174086,
            -0.167903632,
            -0.168633193,
            -0.169362739,
            -0.170092285,
            -0.170821831,
            -0.171551377,
            -0.172280937,
            -0.173010483,
            -0.173740029,
            -0.174469575,
            -0.175888464,
            -0.177347571,
            -0.178806663,
            -0.180265769,
            -0.181724861,
            -0.183183968,
            -0.18464306,
            -0.186102167,
            -0.187561259,
            -0.189020365,
            -0.190479457,
            -0.191938564,
            -0.193397656,
            -0.194856763,
            -0.196315855,
            -0.197774962,
            -0.199433193,
            -0.201135486,
            -0.202837765,
            -0.204540044,
            -0.206242323,
            -0.207944617,
            -0.209646896,
            -0.211349174,
            -0.213051453,
            -0.214753747,
            -0.216456026,
            -0.218158305,
            -0.219860584,
            -0.221562862,
            -0.223265156,
            -0.224967435,
            -0.225995705,
            -0.22672525,
            -0.227454796,
            -0.228184342,
            -0.228913903,
            -0.229643449,
            -0.230372995,
            -0.231102541,
            -0.231832087,
            -0.232561648,
            -0.233291194,
            -0.23402074,
            -0.234750286,
            -0.235479847,
            -0.236209393,
            -0.236938938,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237025112,
            -0.236295566,
            -0.235566005,
            -0.234836459,
            -0.234106913,
            -0.233377367,
            -0.232647806,
            -0.23191826,
            -0.231188715,
            -0.230459169,
            -0.229729608,
            -0.229000062,
            -0.228270516,
            -0.22754097,
            -0.226811409,
            -0.226081863,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.226173773,
            -0.226903319,
            -0.22763288,
            -0.228362426,
            -0.229091972,
            -0.229821518,
            -0.230551079,
            -0.231280625,
            -0.232010171,
            -0.232739717,
            -0.233469278,
            -0.234198824,
            -0.23492837,
            -0.235657915,
            -0.236387476,
            -0.237117022,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.236847028,
            -0.236117482,
            -0.235387936,
            -0.234658375,
            -0.233928829,
            -0.233199283,
            -0.232469738,
            -0.231740177,
            -0.231010631,
            -0.230281085,
            -0.229551539,
            -0.228821978,
            -0.228092432,
            -0.227362886,
            -0.22663334,
            -0.225903779,
            -0.225174233,
            -0.224444687,
            -0.223715141,
            -0.222985581,
            -0.222256035,
            -0.221526489,
            -0.220796943,
            -0.220067382,
            -0.219337836,
            -0.21860829,
            -0.217878744,
            -0.217149198,
            -0.216419637,
            -0.215690091,
            -0.214960545,
            -0.214230984,
            -0.213426769,
            -0.212454036,
            -0.211481303,
            -0.21050857,
            -0.209535837,
            -0.208563104,
            -0.207590371,
            -0.206617638,
            -0.205644906,
            -0.204672173,
            -0.20369944,
            -0.202726707,
            -0.201753974,
            -0.200781241,
            -0.199808508,
            -0.198835775,
            -0.197907075,
            -0.197177529,
            -0.196447983,
            -0.195718437,
            -0.194988877,
            -0.194259331,
            -0.193529785,
            -0.192800239,
            -0.192070678,
            -0.191341132,
            -0.190611586,
            -0.18988204,
            -0.189152479,
            -0.188422933,
            -0.187693387,
            -0.186963841,
            -0.18623428,
            -0.185504735,
            -0.184775189,
            -0.184045643,
            -0.183316082,
            -0.182586536,
            -0.18185699,
            -0.181127444,
            -0.180397898,
            -0.179668337,
            -0.178938791,
            -0.178209245,
            -0.177479684,
            -0.176750138,
            -0.176020592,
            -0.175291047,
            -0.174561501,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.17392385,
            -0.173194304,
            -0.172464758,
            -0.171735212,
            -0.171005651,
            -0.170276105,
            -0.169546559,
            -0.168817014,
            -0.168087453,
            -0.167357907,
            -0.166628361,
            -0.165898815,
            -0.165169269,
            -0.164439708,
            -0.163710162,
            -0.162980616,
            -0.162251055,
            -0.161521509,
            -0.160791963,
            -0.160062417,
            -0.159332871,
            -0.158603311,
            -0.157873765,
            -0.157144219,
            -0.156414673,
            -0.155685112,
            -0.154955566,
            -0.15422602,
            -0.153496474,
            -0.152766913,
            -0.152037367,
            -0.151307821,
            -0.150578275,
            -0.149848714,
            -0.149119169,
            -0.148389623,
            -0.147660077,
            -0.146930516,
            -0.14620097,
            -0.145471424,
            -0.144741878,
            -0.144012317,
            -0.143282771,
            -0.142553225,
            -0.141823679,
            -0.141094118,
            -0.140364572,
            -0.139635026,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.138924628,
            -0.137951896,
            -0.136979148,
            -0.136006415,
            -0.135033682,
            -0.134060949,
            -0.133088216,
            -0.132115483,
            -0.13114275,
            -0.130170017,
            -0.12919727,
            -0.128224537,
            -0.127251804,
            -0.126279071,
            -0.125306338,
            -0.124333605,
            -0.123402998,
            -0.122673444,
            -0.121943891,
            -0.121214345,
            -0.120484792,
            -0.119755238,
            -0.119025685,
            -0.118296139,
            -0.117566586,
            -0.116837032,
            -0.116107479,
            -0.115377933,
            -0.114648379,
            -0.113918826,
            -0.113189273,
            -0.112459727,
            -0.111730173,
            -0.111000627,
            -0.110271074,
            -0.109541528,
            -0.108811982,
            -0.108082436,
            -0.107352883,
            -0.106623337,
            -0.105893791,
            -0.105164245,
            -0.104434699,
            -0.103705145,
            -0.102975599,
            -0.102246054,
            -0.101516508,
            -0.100786954,
            -0.100057408,
            -0.0986557528,
            -0.0971966535,
            -0.0957375541,
            -0.0942784548,
            -0.0928193554,
            -0.0913602561,
            -0.0899011567,
            -0.0884420574,
            -0.0869829655,
            -0.0855238587,
            -0.0840647668,
            -0.08260566,
            -0.0811465681,
            -0.0796874613,
            -0.0782283694,
            -0.0767692626,
            -0.0751167685,
            -0.0734144896,
            -0.0717122033,
            -0.0700099245,
            -0.0683076382,
            -0.0666053593,
            -0.064903073,
            -0.0632007942,
            -0.0614985116,
            -0.059796229,
            -0.0580939464,
            -0.0563916638,
            -0.0546893813,
            -0.0529870987,
            -0.0512848161,
            -0.0495825335,
            -0.0485312939,
            -0.0478017442,
            -0.0470721945,
            -0.0463426448,
            -0.0456130952,
            -0.0448835455,
            -0.0441539958,
            -0.0434244461,
            -0.0426948965,
            -0.0419653468,
            -0.0412357971,
            -0.0405062474,
            -0.0397766978,
            -0.0390471481,
            -0.0383175984,
            -0.0375880487,
            -0.0368584991,
            -0.0361289494,
            -0.0353993997,
            -0.03466985,
            -0.0339403003,
            -0.0332107544,
            -0.032481201,
            -0.031751655,
            -0.0310221035,
            -0.0302925538,
            -0.0295630042,
            -0.0288334563,
            -0.0281039067,
            -0.027374357,
            -0.0266448073,
            -0.0259152576,
            -0.0247797631,
            -0.0230774805,
            -0.0213751979,
            -0.0196729153,
            -0.0179706346,
            -0.016268352,
            -0.0145660695,
            -0.0128637869,
            -0.0111615043,
            -0.00945922174,
            -0.00775693916,
            -0.00605465658,
            -0.00435237586,
            -0.00265009329,
            -0.000947810709,
            0.000754471868,
            0.00217335997,
            0.00290290965,
            0.00363245909,
            0.00436200853,
            0.00509155821,
            0.00582110789,
            0.00655065756,
            0.00728020724,
            0.00800975598,
            0.00873930566,
            0.00946885534,
            0.010198405,
            0.0109279547,
            0.0116575044,
            0.012387054,
            0.0131166037,
            0.0139667876,
            0.015425887,
            0.0168849863,
            0.0183440857,
            0.019803185,
            0.0212622844,
            0.0227213837,
            0.0241804831,
            0.0256395806,
            0.0270986799,
            0.0285577793,
            0.0300168786,
            0.0314759761,
            0.0329350755,
            0.0343941748,
            0.0358532742,
            0.0373123735,
            0.0387714729,
            0.0402305722,
            0.0416896716,
            0.0431487709,
            0.0446078703,
            0.0460669696,
            0.047526069,
            0.0489851683,
            0.0504442677,
            0.051903367,
            0.0533624664,
            0.0548215657,
            0.0562806651,
            0.0577397645,
            0.0591988638,
            0.0606579632,
            0.0616728216,
            0.0626455545,
            0.0636182874,
            0.0645910203,
            0.0655637532,
            0.0665364861,
            0.0675092191,
            0.068481952,
            0.0694546849,
            0.0704274178,
            0.0714001507,
            0.0723728836,
            0.0733456165,
            0.0743183494,
            0.0752910823,
            0.0762638152,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0769531503,
            0.0776826963,
            0.0784122497,
            0.0791417956,
            0.079871349,
            0.080600895,
            0.0813304484,
            0.0820599943,
            0.0827895477,
            0.0835190937,
            0.0842486471,
            0.084978193,
            0.0857077464,
            0.0864372924,
            0.0871668458,
            0.0878963917,
            0.0886259452,
            0.0893554911,
            0.0900850445,
            0.0908145905,
            0.0915441439,
            0.0922736898,
            0.0930032432,
            0.0937327892,
            0.0944623426,
            0.0951918885,
            0.0959214419,
            0.0966509879,
            0.0973805413,
            0.0981100872,
            0.0988396406,
            0.0995691866,
            0.100597449,
            0.102056548,
            0.103515647,
            0.104974747,
            0.106433846,
            0.107892945,
            0.109352045,
            0.110811144,
            0.112270243,
            0.113729343,
            0.115188442,
            0.116647542,
            0.118106641,
            0.11956574,
            0.12102484,
            0.122483939,
            0.124218777,
            0.126650602,
            0.129082441,
            0.131514281,
            0.133946121,
            0.136377946,
            0.138809785,
            0.141241625,
            0.143673465,
            0.146105289,
            0.148537129,
            0.150968969,
            0.153400809,
            0.155832633,
            0.158264473,
            0.160696313,
            0.162974954,
            0.164434046,
            0.165893152,
            0.167352244,
            0.168811336,
            0.170270428,
            0.171729535,
            0.173188627,
            0.174647719,
            0.176106811,
            0.177565917,
            0.179025009,
            0.180484101,
            0.181943193,
            0.1834023,
            0.184861392,
            0.186305165,
            0.187277898,
            0.188250646,
            0.189223379,
            0.190196112,
            0.191168845,
            0.192141578,
            0.193114325,
            0.194087058,
            0.195059791,
            0.196032524,
            0.197005272,
            0.197978005,
            0.198950738,
            0.199923471,
            0.200896218,
            0.201868951,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.200848341,
            0.199146062,
            0.197443768,
            0.19574149,
            0.194039196,
            0.192336917,
            0.190634623,
            0.188932344,
            0.187230051,
            0.185527772,
            0.183825478,
            0.182123199,
            0.180420905,
            0.178718626,
            0.177016333,
            0.175314054,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174400672,
            0.173671126,
            0.17294158,
            0.172212034,
            0.171482489,
            0.170752943,
            0.170023397,
            0.169293851,
            0.168564305,
            0.167834759,
            0.167105213,
            0.166375667,
            0.165646136,
            0.164916575,
            0.164187044,
            0.163457483,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162274122,
            0.161544576,
            0.160815015,
            0.160085469,
            0.159355909,
            0.158626363,
            0.157896802,
            0.157167256,
            0.156437695,
            0.155708149,
            0.154978588,
            0.154249042,
            0.153519481,
            0.152789935,
            0.15206039,
            0.151330829,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.150980413,
            0.151187211,
            0.152646318,
            0.15410541,
            0.155564517,
            0.157023609,
            0.158482715,
            0.159941807,
            0.161400914,
            0.162860006,
            0.164319113,
            0.165778205,
            0.167237312,
            0.168696404,
            0.170155495,
            0.171614602,
            0.173073709,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.173952609,
            0.173223063,
            0.172493517,
            0.171763971,
            0.171034425,
            0.17030488,
            0.169575334,
            0.168845788,
            0.168116242,
            0.167386696,
            0.16665715,
            0.165927604,
            0.165198058,
            0.164468512,
            0.163738966,
            0.16300942,
            0.163210481,
            0.163940027,
            0.164669573,
            0.165399119,
            0.166128665,
            0.166858211,
            0.167587757,
            0.168317303,
            0.169046849,
            0.169776395,
            0.170505941,
            0.171235487,
            0.171965033,
            0.172694579,
            0.173424125,
            0.174153671,
            0.175381079,
            0.177083358,
            0.178785652,
            0.180487931,
            0.18219021,
            0.183892503,
            0.185594782,
            0.187297076,
            0.188999355,
            0.190701649,
            0.192403927,
            0.194106221,
            0.1958085,
            0.197510794,
            0.199213073,
            0.200915366,
            0.202523813,
            0.203982919,
            0.205442011,
            0.206901103,
            0.208360195,
            0.209819302,
            0.211278394,
            0.212737486,
            0.214196578,
            0.215655684,
            0.217114776,
            0.218573868,
            0.22003296,
            0.221492067,
            0.222951159,
            0.224410251,
            0.225869343,
            0.227328449,
            0.228787541,
            0.230246648,
            0.23170574,
            0.233164847,
            0.234623939,
            0.236083046,
            0.237542138,
            0.239001244,
            0.240460336,
            0.241919443,
            0.243378535,
            0.244837642,
            0.246296734,
            0.24775584,
            0.249117285,
            0.249846831,
            0.250576377,
            0.251305938,
            0.252035499,
            0.252765059,
            0.253494591,
            0.254224151,
            0.254953712,
            0.255683273,
            0.256412804,
            0.257142365,
            0.257871926,
            0.258601487,
            0.259331018,
            0.260060579,
            0.260792047,
            0.261764795,
            0.262737513,
            0.26371026,
            0.264682978,
            0.265655726,
            0.266628474,
            0.267601192,
            0.26857394,
            0.269546688,
            0.270519406,
            0.271492153,
            0.272464871,
            0.273437619,
            0.274410367,
            0.275383085,
            0.276355833,
            0.277114093,
            0.277843654,
            0.278573185,
            0.279302746,
            0.280032277,
            0.280761838,
            0.281491369,
            0.28222093,
            0.282950461,
            0.283680022,
            0.284409553,
            0.285139114,
            0.285868645,
            0.286598206,
            0.287327737,
            0.288057297,
            0.288786829,
            0.289516389,
            0.29024595,
            0.290975481,
            0.291705042,
            0.292434573,
            0.293164134,
            0.293893695,
            0.294623226,
            0.295352787,
            0.296082318,
            0.296811879,
            0.29754144,
            0.298270971,
            0.299000531,
            0.299730092,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300367713,
            0.301097274,
            0.301826805,
            0.302556366,
            0.303285927,
            0.304015458,
            0.304745018,
            0.305474579,
            0.30620411,
            0.306933671,
            0.307663202,
            0.308392763,
            0.309122324,
            0.309851855,
            0.310581416,
            0.311310977,
            0.31268388,
            0.31511572,
            0.31754756,
            0.319979399,
            0.322411209,
            0.324843049,
            0.327274889,
            0.329706728,
            0.332138538,
            0.334570378,
            0.337002218,
            0.339434057,
            0.341865867,
            0.344297707,
            0.346729547,
            0.349161386,
            0.351164281,
            0.351893842,
            0.352623373,
            0.353352934,
            0.354082495,
            0.354812026,
            0.355541587,
            0.356271118,
            0.357000679,
            0.35773024,
            0.358459771,
            0.359189332,
            0.359918892,
            0.360648423,
            0.361377984,
            0.362107515,
            0.362837076,
            0.363566637,
            0.364296168,
            0.365025729,
            0.36575529,
            0.366484821,
            0.367214382,
            0.367943913,
            0.368673474,
            0.369403034,
            0.370132565,
            0.370862126,
            0.371591687,
            0.372321218,
            0.373050779,
            0.37378031
          ],
          [
            0.40196085,
            0.402690381,
            0.403419942,
            0.404149473,
            0.404879034,
            0.405608565,
            0.406338125,
            0.407067657,
            0.407797217,
            0.408526748,
            0.409256309,
            0.40998584,
            0.410715401,
            0.411444932,
            0.412174493,
            0.412904024,
            0.413633585,
            0.413087875,
            0.412358314,
            0.411628783,
            0.410899222,
            0.410169691,
            0.40944013,
            0.408710599,
            0.407981038,
            0.407251507,
            0.406521946,
            0.405792415,
            0.405062854,
            0.404333323,
            0.403603762,
            0.402874231,
            0.40214467,
            0.401233226,
            0.400260478,
            0.39928776,
            0.398315012,
            0.397342294,
            0.396369547,
            0.395396829,
            0.394424081,
            0.393451363,
            0.392478615,
            0.391505897,
            0.390533149,
            0.389560431,
            0.388587683,
            0.387614965,
            0.386642218,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386512011,
            0.387484759,
            0.388457477,
            0.389430225,
            0.390402943,
            0.391375691,
            0.392348409,
            0.393321157,
            0.394293875,
            0.395266622,
            0.39623934,
            0.397212088,
            0.398184806,
            0.399157554,
            0.400130272,
            0.40110302,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.402500838,
            0.403230369,
            0.40395993,
            0.404689461,
            0.405419022,
            0.406148553,
            0.406878114,
            0.407607645,
            0.408337206,
            0.409066737,
            0.409796298,
            0.410525829,
            0.411255389,
            0.411984921,
            0.412714481,
            0.413444012,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413099349,
            0.412369817,
            0.411640257,
            0.410910726,
            0.410181165,
            0.409451634,
            0.408722073,
            0.407992542,
            0.407262981,
            0.40653345,
            0.405803889,
            0.405074358,
            0.404344797,
            0.403615266,
            0.402885705,
            0.402156174,
            0.401248544,
            0.400275797,
            0.399303079,
            0.398330331,
            0.397357613,
            0.396384865,
            0.395412147,
            0.394439399,
            0.393466681,
            0.392493933,
            0.391521215,
            0.390548468,
            0.38957575,
            0.388603002,
            0.387630284,
            0.386657536,
            0.38583225,
            0.385102689,
            0.384373158,
            0.383643597,
            0.382914066,
            0.382184505,
            0.381454945,
            0.380725414,
            0.379995853,
            0.379266292,
            0.378536761,
            0.3778072,
            0.377077669,
            0.376348108,
            0.375618547,
            0.374889016,
            0.37380904,
            0.372349948,
            0.370890856,
            0.369431734,
            0.367972642,
            0.36651355,
            0.365054458,
            0.363595337,
            0.362136245,
            0.360677153,
            0.359218061,
            0.357758939,
            0.356299847,
            0.354840755,
            0.353381664,
            0.351922572,
            0.350377291,
            0.348675013,
            0.346972734,
            0.345270455,
            0.343568146,
            0.341865867,
            0.340163589,
            0.33846131,
            0.336759031,
            0.335056752,
            0.333354473,
            0.331652194,
            0.329949915,
            0.328247607,
            0.326545328,
            0.324843049,
            0.323196292,
            0.3217372,
            0.320278108,
            0.318819016,
            0.317359895,
            0.315900803,
            0.314441711,
            0.312982619,
            0.311523497,
            0.310064405,
            0.308605313,
            0.307146221,
            0.3056871,
            0.304228008,
            0.302768916,
            0.301309824,
            0.299925387,
            0.299195856,
            0.298466295,
            0.297736734,
            0.297007203,
            0.296277642,
            0.295548081,
            0.29481855,
            0.294088989,
            0.293359458,
            0.292629898,
            0.291900337,
            0.291170806,
            0.290441245,
            0.289711714,
            0.288982153,
            0.288252592,
            0.287523061,
            0.2867935,
            0.286063969,
            0.285334408,
            0.284604877,
            0.283875316,
            0.283145785,
            0.282416224,
            0.281686693,
            0.280957133,
            0.280227602,
            0.279498041,
            0.27876851,
            0.278038949,
            0.277309418,
            0.276579857,
            0.275643498,
            0.27467078,
            0.273698032,
            0.272725314,
            0.271752566,
            0.270779818,
            0.2698071,
            0.268834352,
            0.267861605,
            0.266888887,
            0.265916139,
            0.264943421,
            0.263970673,
            0.262997925,
            0.262025207,
            0.261052459,
            0.259727389,
            0.258268297,
            0.256809205,
            0.255350083,
            0.253890991,
            0.252431899,
            0.250972778,
            0.249513686,
            0.248054579,
            0.246595472,
            0.245136365,
            0.243677273,
            0.242218167,
            0.24075906,
            0.239299953,
            0.237840861,
            0.23594518,
            0.233756527,
            0.231567889,
            0.229379237,
            0.227190599,
            0.225001946,
            0.222813308,
            0.220624655,
            0.218436018,
            0.21624738,
            0.214058727,
            0.211870074,
            0.209681436,
            0.207492799,
            0.205304146,
            0.203115493,
            0.200467288,
            0.197305903,
            0.194144517,
            0.190983132,
            0.187821746,
            0.184660375,
            0.181498975,
            0.178337604,
            0.175176218,
            0.172014832,
            0.168853447,
            0.165692061,
            0.162530676,
            0.15936929,
            0.156207904,
            0.153046519,
            0.150137886,
            0.147706062,
            0.145274222,
            0.142842397,
            0.140410557,
            0.137978733,
            0.135546893,
            0.133115068,
            0.130683228,
            0.128251404,
            0.125819564,
            0.123387739,
            0.120955907,
            0.118524075,
            0.116092242,
            0.11366041,
            0.111603886,
            0.110874332,
            0.110144787,
            0.109415233,
            0.108685687,
            0.107956134,
            0.107226588,
            0.106497034,
            0.105767488,
            0.105037935,
            0.104308389,
            0.103578836,
            0.10284929,
            0.102119736,
            0.10139019,
            0.100660637,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0994772762,
            0.0987477228,
            0.0980181769,
            0.0972886235,
            0.0965590775,
            0.0958295316,
            0.0950999781,
            0.0943704247,
            0.0936408788,
            0.0929113328,
            0.0921817794,
            0.091452226,
            0.0907226801,
            0.0899931341,
            0.0892635807,
            0.0885340348,
            0.0878044814,
            0.0870749354,
            0.086345382,
            0.0856158361,
            0.0848862827,
            0.0841567367,
            0.0834271833,
            0.0826976374,
            0.081968084,
            0.081238538,
            0.0805089846,
            0.0797794387,
            0.0790498853,
            0.0783203393,
            0.0775907859,
            0.07686124,
            0.0760187134,
            0.0750459805,
            0.0740732476,
            0.0731005147,
            0.0721277818,
            0.0711550489,
            0.070182316,
            0.0692095831,
            0.0682368502,
            0.0672641173,
            0.0662913844,
            0.0653186515,
            0.0643459186,
            0.0633731857,
            0.0624004528,
            0.0614277199,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0606579594,
            0.0591988638,
            0.0577397645,
            0.0562806651,
            0.0548215657,
            0.0533624664,
            0.051903367,
            0.0504442677,
            0.0489851683,
            0.047526069,
            0.0460669696,
            0.0446078703,
            0.0431487709,
            0.0416896716,
            0.0402305722,
            0.0387714729,
            0.0373123735,
            0.0358532742,
            0.0343941748,
            0.0329350755,
            0.0314759761,
            0.0300168786,
            0.0285577793,
            0.0270986799,
            0.0256395806,
            0.0241804831,
            0.0227213837,
            0.0212622844,
            0.019803185,
            0.0183440857,
            0.0168849863,
            0.015425887,
            0.0139667876,
            0.0131166037,
            0.012387054,
            0.0116575044,
            0.0109279547,
            0.010198405,
            0.00946885534,
            0.00873930566,
            0.00800975598,
            0.00728020724,
            0.00655065756,
            0.00582110789,
            0.00509155821,
            0.00436200853,
            0.00363245886,
            0.00290290918,
            0.00217335951,
            0.000754472101,
            -0.000947810244,
            -0.00265009236,
            -0.00435237493,
            -0.00605465751,
            -0.00775694009,
            -0.00945922174,
            -0.0111615043,
            -0.0128637869,
            -0.0145660695,
            -0.016268352,
            -0.0179706346,
            -0.0196729172,
            -0.0213751979,
            -0.0230774805,
            -0.0247797631,
            -0.0267654397,
            -0.0289540887,
            -0.0311427377,
            -0.0333313867,
            -0.0355200358,
            -0.0377086848,
            -0.0398973338,
            -0.0420859829,
            -0.0442746282,
            -0.0464632809,
            -0.0486519262,
            -0.050840579,
            -0.0530292243,
            -0.055217877,
            -0.0574065223,
            -0.0595951714,
            -0.0618948825,
            -0.064326711,
            -0.0667585433,
            -0.0691903755,
            -0.0716222078,
            -0.07405404,
            -0.0764858723,
            -0.0789177045,
            -0.0813495368,
            -0.083781369,
            -0.0862132013,
            -0.0886450335,
            -0.0910768658,
            -0.093508698,
            -0.0959405303,
            -0.0983723551,
            -0.100482501,
            -0.1019416,
            -0.1034007,
            -0.104859799,
            -0.106318898,
            -0.107777998,
            -0.109237097,
            -0.110696197,
            -0.112155296,
            -0.113614395,
            -0.115073495,
            -0.116532594,
            -0.117991693,
            -0.119450793,
            -0.120909892,
            -0.122368991,
            -0.123728514,
            -0.124701254,
            -0.12567398,
            -0.126646727,
            -0.12761946,
            -0.128592193,
            -0.129564926,
            -0.130537659,
            -0.131510392,
            -0.132483125,
            -0.133455858,
            -0.134428591,
            -0.135401338,
            -0.136374071,
            -0.137346804,
            -0.138319537,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139635026,
            -0.140364572,
            -0.141094118,
            -0.141823679,
            -0.142553225,
            -0.143282771,
            -0.144012317,
            -0.144741878,
            -0.145471424,
            -0.14620097,
            -0.146930516,
            -0.147660077,
            -0.148389623,
            -0.149119169,
            -0.149848714,
            -0.150578275,
            -0.151307821,
            -0.152037367,
            -0.152766913,
            -0.153496474,
            -0.15422602,
            -0.154955566,
            -0.155685112,
            -0.156414673,
            -0.157144219,
            -0.157873765,
            -0.158603311,
            -0.159332871,
            -0.160062417,
            -0.160791963,
            -0.161521509,
            -0.162251055,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162796795,
            -0.163526341,
            -0.164255887,
            -0.164985433,
            -0.165714994,
            -0.16644454,
            -0.167174086,
            -0.167903632,
            -0.168633193,
            -0.169362739,
            -0.170092285,
            -0.170821831,
            -0.171551377,
            -0.172280937,
            -0.173010483,
            -0.173740029,
            -0.174469575,
            -0.175888464,
            -0.177347571,
            -0.178806663,
            -0.180265769,
            -0.181724861,
            -0.183183968,
            -0.18464306,
            -0.186102167,
            -0.187561259,
            -0.189020365,
            -0.190479457,
            -0.191938564,
            -0.193397656,
            -0.194856763,
            -0.196315855,
            -0.197774962,
            -0.199433193,
            -0.201135486,
            -0.202837765,
            -0.204540044,
            -0.206242323,
            -0.207944617,
            -0.209646896,
            -0.211349174,
            -0.213051453,
            -0.214753747,
            -0.216456026,
            -0.218158305,
            -0.219860584,
            -0.221562862,
            -0.223265156,
            -0.224967435,
            -0.226501212,
            -0.227960318,
            -0.22941941,
            -0.230878502,
            -0.232337609,
            -0.233796716,
            -0.235255808,
            -0.2367149,
            -0.238174006,
            -0.239633098,
            -0.241092205,
            -0.242551297,
            -0.244010404,
            -0.245469496,
            -0.246928602,
            -0.248387694,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.248789817,
            -0.248060271,
            -0.24733071,
            -0.246601164,
            -0.245871618,
            -0.245142072,
            -0.244412512,
            -0.243682966,
            -0.24295342,
            -0.242223874,
            -0.241494313,
            -0.240764767,
            -0.240035221,
            -0.239305675,
            -0.238576114,
            -0.237846568,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237300843,
            -0.238030389,
            -0.23875995,
            -0.239489496,
            -0.240219042,
            -0.240948588,
            -0.241678149,
            -0.242407694,
            -0.24313724,
            -0.243866786,
            -0.244596332,
            -0.245325893,
            -0.246055439,
            -0.246784985,
            -0.247514531,
            -0.248244092,
            -0.248973638,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.248519823,
            -0.247790277,
            -0.247060716,
            -0.24633117,
            -0.245601624,
            -0.244872078,
            -0.244142532,
            -0.243412971,
            -0.242683426,
            -0.24195388,
            -0.241224334,
            -0.240494773,
            -0.239765227,
            -0.239035681,
            -0.238306135,
            -0.237576574,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.236938938,
            -0.236209393,
            -0.235479847,
            -0.234750286,
            -0.23402074,
            -0.233291194,
            -0.232561648,
            -0.231832087,
            -0.231102541,
            -0.230372995,
            -0.229643449,
            -0.228913903,
            -0.228184342,
            -0.227454796,
            -0.22672525,
            -0.22599569,
            -0.224967435,
            -0.223265156,
            -0.221562862,
            -0.219860584,
            -0.218158305,
            -0.216456026,
            -0.214753747,
            -0.213051453,
            -0.211349174,
            -0.209646896,
            -0.207944617,
            -0.206242323,
            -0.204540044,
            -0.202837765,
            -0.201135486,
            -0.199433193,
            -0.197774962,
            -0.196315855,
            -0.194856763,
            -0.193397656,
            -0.191938564,
            -0.190479457,
            -0.189020365,
            -0.187561259,
            -0.186102167,
            -0.18464306,
            -0.183183968,
            -0.181724861,
            -0.180265769,
            -0.178806663,
            -0.177347571,
            -0.175888464,
            -0.174469575,
            -0.173740029,
            -0.173010483,
            -0.172280937,
            -0.171551377,
            -0.170821831,
            -0.170092285,
            -0.169362739,
            -0.168633193,
            -0.167903632,
            -0.167174086,
            -0.16644454,
            -0.165714979,
            -0.164985433,
            -0.164255887,
            -0.163526341,
            -0.162796795,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162342981,
            -0.16161342,
            -0.160883874,
            -0.160154328,
            -0.159424782,
            -0.158695221,
            -0.157965675,
            -0.157236129,
            -0.156506583,
            -0.155777022,
            -0.155047476,
            -0.15431793,
            -0.153588384,
            -0.152858824,
            -0.152129278,
            -0.151399732,
            -0.150670186,
            -0.149940625,
            -0.149211079,
            -0.148481533,
            -0.147751987,
            -0.147022426,
            -0.14629288,
            -0.145563334,
            -0.144833788,
            -0.144104242,
            -0.143374681,
            -0.142645136,
            -0.14191559,
            -0.141186029,
            -0.140456483,
            -0.139726937,
            -0.138706326,
            -0.137004048,
            -0.135301754,
            -0.133599475,
            -0.131897181,
            -0.130194902,
            -0.128492624,
            -0.12679033,
            -0.125088036,
            -0.123385757,
            -0.121683471,
            -0.119981185,
            -0.118278898,
            -0.116576612,
            -0.114874326,
            -0.113172039,
            -0.111638263,
            -0.110908717,
            -0.110179164,
            -0.109449618,
            -0.108720072,
            -0.107990526,
            -0.107260972,
            -0.106531426,
            -0.10580188,
            -0.105072334,
            -0.104342781,
            -0.103613235,
            -0.102883689,
            -0.102154143,
            -0.10142459,
            -0.100695044,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0993278623,
            -0.0985983089,
            -0.0978687629,
            -0.0971392095,
            -0.0964096636,
            -0.0956801102,
            -0.0949505642,
            -0.0942210108,
            -0.0934914649,
            -0.0927619115,
            -0.0920323655,
            -0.0913028121,
            -0.0905732661,
            -0.0898437127,
            -0.0891141668,
            -0.0883846134,
            -0.0868814737,
            -0.0851791948,
            -0.0834769085,
            -0.0817746297,
            -0.0800723433,
            -0.0783700645,
            -0.0766677782,
            -0.0749654993,
            -0.073263213,
            -0.0715609342,
            -0.0698586553,
            -0.068156369,
            -0.0664540827,
            -0.0647518039,
            -0.063049525,
            -0.0613472387,
            -0.0598077178,
            -0.0583486184,
            -0.0568895191,
            -0.0554304197,
            -0.0539713204,
            -0.052512221,
            -0.0510531217,
            -0.0495940223,
            -0.048134923,
            -0.0466758236,
            -0.0452167243,
            -0.0437576249,
            -0.0422985256,
            -0.0408394262,
            -0.0393803269,
            -0.0379212275,
            -0.0368584991,
            -0.0361289494,
            -0.0353993997,
            -0.03466985,
            -0.0339403003,
            -0.0332107544,
            -0.032481201,
            -0.031751655,
            -0.0310221035,
            -0.0302925538,
            -0.0295630042,
            -0.0288334563,
            -0.0281039067,
            -0.027374357,
            -0.0266448073,
            -0.0259152576,
            -0.025185708,
            -0.0244561583,
            -0.0237266086,
            -0.0229970589,
            -0.0222675093,
            -0.0215379596,
            -0.0208084099,
            -0.0200788602,
            -0.0193493105,
            -0.0186197609,
            -0.0178902112,
            -0.0171606615,
            -0.0164311118,
            -0.0157015622,
            -0.0149720125,
            -0.0142424628,
            -0.0134420646,
            -0.0124693327,
            -0.0114965998,
            -0.0105238669,
            -0.00955113396,
            -0.00857840106,
            -0.00760566816,
            -0.00663293526,
            -0.00566020235,
            -0.00468746945,
            -0.00371473748,
            -0.00274200458,
            -0.00176927168,
            -0.000796538778,
            0.000176194124,
            0.00114892703,
            0.00220208243,
            0.00366118154,
            0.00512028066,
            0.00657938002,
            0.0080384789,
            0.00949757826,
            0.0109566776,
            0.012415777,
            0.0138748754,
            0.0153339747,
            0.0167930741,
            0.0182521734,
            0.0197112728,
            0.0211703721,
            0.0226294715,
            0.0240885708,
            0.0255476683,
            0.0270067677,
            0.028465867,
            0.0299249664,
            0.0313840657,
            0.0328431651,
            0.0343022645,
            0.0357613638,
            0.0372204632,
            0.0386795625,
            0.0401386619,
            0.0415977612,
            0.0430568606,
            0.0445159599,
            0.0459750593,
            0.0474341586,
            0.048893258,
            0.049685996,
            0.0504155457,
            0.0511450954,
            0.0518746451,
            0.0526041947,
            0.0533337444,
            0.0540632941,
            0.0547928438,
            0.0555223897,
            0.0562519431,
            0.0569814891,
            0.0577110425,
            0.0584405884,
            0.0591701418,
            0.0598996878,
            0.0606292374,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0614277236,
            0.0624004565,
            0.0633731857,
            0.0643459186,
            0.0653186515,
            0.0662913844,
            0.0672641173,
            0.0682368502,
            0.0692095831,
            0.070182316,
            0.0711550489,
            0.0721277818,
            0.0731005147,
            0.0740732476,
            0.0750459805,
            0.0760187134,
            0.0772518665,
            0.0787109658,
            0.0801700652,
            0.0816291571,
            0.0830882639,
            0.0845473558,
            0.0860064626,
            0.0874655545,
            0.0889246538,
            0.0903837532,
            0.0918428525,
            0.0933019519,
            0.0947610512,
            0.0962201506,
            0.0976792499,
            0.0991383493,
            0.100597449,
            0.102056548,
            0.103515647,
            0.104974747,
            0.106433846,
            0.107892945,
            0.109352045,
            0.110811144,
            0.112270243,
            0.113729343,
            0.115188442,
            0.116647542,
            0.118106641,
            0.11956574,
            0.12102484,
            0.122483939,
            0.124218777,
            0.126650602,
            0.129082441,
            0.131514281,
            0.133946121,
            0.136377946,
            0.138809785,
            0.141241625,
            0.143673465,
            0.146105289,
            0.148537129,
            0.150968969,
            0.153400809,
            0.155832633,
            0.158264473,
            0.160696313,
            0.162974954,
            0.164434046,
            0.165893152,
            0.167352244,
            0.168811336,
            0.170270428,
            0.171729535,
            0.173188627,
            0.174647719,
            0.176106811,
            0.177565917,
            0.179025009,
            0.180484101,
            0.181943193,
            0.1834023,
            0.184861392,
            0.186305165,
            0.187277898,
            0.188250646,
            0.189223379,
            0.190196112,
            0.191168845,
            0.192141578,
            0.193114325,
            0.194087058,
            0.195059791,
            0.196032524,
            0.197005272,
            0.197978005,
            0.198950738,
            0.199923471,
            0.200896218,
            0.201868951,
            0.201080039,
            0.200107306,
            0.199134558,
            0.198161826,
            0.197189093,
            0.19621636,
            0.195243612,
            0.194270879,
            0.193298146,
            0.192325413,
            0.191352665,
            0.190379933,
            0.1894072,
            0.188434467,
            0.187461734,
            0.186488986,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185797736,
            0.18506819,
            0.184338644,
            0.183609083,
            0.182879537,
            0.182149991,
            0.181420445,
            0.180690885,
            0.179961339,
            0.179231793,
            0.178502247,
            0.177772686,
            0.17704314,
            0.176313594,
            0.175584048,
            0.174854487,
            0.174124941,
            0.173395395,
            0.172665849,
            0.171936303,
            0.171206757,
            0.170477211,
            0.169747666,
            0.16901812,
            0.168288574,
            0.167559028,
            0.166829482,
            0.166099936,
            0.16537039,
            0.164640844,
            0.163911298,
            0.163181752,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163400039,
            0.164129585,
            0.164859131,
            0.165588677,
            0.166318223,
            0.167047769,
            0.167777315,
            0.168506861,
            0.169236407,
            0.169965953,
            0.170695499,
            0.171425045,
            0.17215459,
            0.172884136,
            0.173613682,
            0.174343228,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174613222,
            0.175342768,
            0.176072329,
            0.176801875,
            0.177531421,
            0.178260967,
            0.178990528,
            0.179720074,
            0.18044962,
            0.181179166,
            0.181908727,
            0.182638273,
            0.183367819,
            0.184097365,
            0.18482691,
            0.185556471,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186894938,
            0.187867671,
            0.188840404,
            0.189813152,
            0.190785885,
            0.191758618,
            0.192731351,
            0.193704084,
            0.194676831,
            0.195649564,
            0.196622297,
            0.19759503,
            0.198567778,
            0.199540511,
            0.200513244,
            0.201485977,
            0.202334255,
            0.203063801,
            0.203793347,
            0.204522893,
            0.205252439,
            0.205981985,
            0.206711531,
            0.207441077,
            0.208170623,
            0.208900169,
            0.209629714,
            0.21035926,
            0.211088806,
            0.211818352,
            0.212547898,
            0.213277444,
            0.214288473,
            0.215747565,
            0.217206672,
            0.218665764,
            0.220124871,
            0.221583962,
            0.223043054,
            0.224502161,
            0.225961268,
            0.22742036,
            0.228879452,
            0.230338559,
            0.23179765,
            0.233256757,
            0.234715849,
            0.236174956,
            0.23744449,
            0.238174036,
            0.238903582,
            0.239633128,
            0.240362689,
            0.241092235,
            0.241821781,
            0.242551327,
            0.243280888,
            0.244010434,
            0.24473998,
            0.245469525,
            0.246199086,
            0.246928632,
            0.247658178,
            0.248387724,
            0.249117285,
            0.249846831,
            0.250576377,
            0.251305938,
            0.252035499,
            0.252765059,
            0.253494591,
            0.254224151,
            0.254953712,
            0.255683273,
            0.256412804,
            0.257142365,
            0.257871926,
            0.258601487,
            0.259331018,
            0.260060579,
            0.260792047,
            0.261764795,
            0.262737513,
            0.26371026,
            0.264682978,
            0.265655726,
            0.266628474,
            0.267601192,
            0.26857394,
            0.269546688,
            0.270519406,
            0.271492153,
            0.272464871,
            0.273437619,
            0.274410367,
            0.275383085,
            0.276355833,
            0.277757496,
            0.279216588,
            0.280675679,
            0.282134771,
            0.283593863,
            0.285052955,
            0.286512047,
            0.287971139,
            0.289430261,
            0.290889353,
            0.292348444,
            0.293807536,
            0.295266628,
            0.29672572,
            0.298184812,
            0.299643904,
            0.300551534,
            0.301281095,
            0.302010655,
            0.302740186,
            0.303469747,
            0.304199278,
            0.304928839,
            0.3056584,
            0.306387931,
            0.307117492,
            0.307847023,
            0.308576584,
            0.309306145,
            0.310035676,
            0.310765237,
            0.311494797,
            0.312224329,
            0.312953889,
            0.31368342,
            0.314412981,
            0.315142542,
            0.315872073,
            0.316601634,
            0.317331195,
            0.318060726,
            0.318790287,
            0.319519818,
            0.320249379,
            0.32097894,
            0.321708471,
            0.322438031,
            0.323167592,
            0.324387312,
            0.326089621,
            0.327791899,
            0.329494178,
            0.331196457,
            0.332898736,
            0.334601015,
            0.336303294,
            0.338005573,
            0.339707851,
            0.34141016,
            0.343112439,
            0.344814718,
            0.346516997,
            0.348219275,
            0.349921554,
            0.351531923,
            0.352991045,
            0.354450136,
            0.355909228,
            0.35736832,
            0.358827412,
            0.360286534,
            0.361745626,
            0.363204718,
            0.36466381,
            0.366122931,
            0.367582023,
            0.369041115,
            0.370500207,
            0.371959329,
            0.373418421,
            0.374693692,
            0.375423253,
            0.376152784,
            0.376882344,
            0.377611905,
            0.378341436,
            0.379070997,
            0.379800528,
            0.380530089,
            0.38125965,
            0.381989181,
            0.382718742,
            0.383448303,
            0.384177834,
            0.384907395,
            0.385636926,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576
          ],
          [
            0.42549026,
            0.426219821,
            0.426949352,
            0.427678913,
            0.428408444,
            0.429138005,
            0.429867566,
            0.430597097,
            0.431326658,
            0.432056218,
            0.432785749,
            0.43351531,
            0.434244841,
            0.434974402,
            0.435703963,
            0.436433494,
            0.437163055,
            0.436617315,
            0.435887784,
            0.435158223,
            0.434428692,
            0.433699131,
            0.43296957,
            0.432240039,
            0.431510478,
            0.430780917,
            0.430051386,
            0.429321826,
            0.428592294,
            0.427862734,
            0.427133173,
            0.426403642,
            0.425674081,
            0.42494452,
            0.424214989,
            0.423485428,
            0.422755867,
            0.422026306,
            0.421296775,
            0.420567214,
            0.419837654,
            0.419108093,
            0.418378562,
            0.417649001,
            0.41691944,
            0.416189879,
            0.415460348,
            0.414730787,
            0.414001226,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413363606,
            0.412634045,
            0.411904514,
            0.411174953,
            0.410445422,
            0.409715861,
            0.40898633,
            0.408256769,
            0.407527238,
            0.406797677,
            0.406068146,
            0.405338585,
            0.404609054,
            0.403879493,
            0.403149962,
            0.402420402,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.401845962,
            0.400873214,
            0.399900496,
            0.398927748,
            0.39795503,
            0.396982282,
            0.396009564,
            0.395036817,
            0.394064099,
            0.393091351,
            0.392118633,
            0.391145885,
            0.390173167,
            0.389200449,
            0.388227701,
            0.387254953,
            0.386282235,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.387534529,
            0.389236808,
            0.390939087,
            0.392641366,
            0.394343644,
            0.396045923,
            0.397748202,
            0.399450481,
            0.40115276,
            0.402855039,
            0.404557317,
            0.406259596,
            0.407961875,
            0.409664154,
            0.411366433,
            0.413068712,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413989753,
            0.414719284,
            0.415448844,
            0.416178405,
            0.416907966,
            0.417637497,
            0.418367058,
            0.419096619,
            0.41982618,
            0.420555711,
            0.421285272,
            0.422014832,
            0.422744393,
            0.423473924,
            0.424203485,
            0.424933046,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.424772203,
            0.424042642,
            0.423313081,
            0.42258355,
            0.421853989,
            0.421124429,
            0.420394868,
            0.419665337,
            0.418935776,
            0.418206215,
            0.417476654,
            0.416747123,
            0.416017562,
            0.415288001,
            0.41455844,
            0.413828909,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413191259,
            0.412461728,
            0.411732167,
            0.411002636,
            0.410273075,
            0.409543544,
            0.408813983,
            0.408084452,
            0.407354891,
            0.40662536,
            0.405895799,
            0.405166268,
            0.404436707,
            0.403707176,
            0.402977616,
            0.402248085,
            0.400928766,
            0.399226487,
            0.397524178,
            0.395821899,
            0.39411962,
            0.392417341,
            0.390715063,
            0.389012784,
            0.387310505,
            0.385608226,
            0.383905947,
            0.382203639,
            0.38050136,
            0.378799081,
            0.377096802,
            0.375394523,
            0.37380904,
            0.372349948,
            0.370890856,
            0.369431734,
            0.367972642,
            0.36651355,
            0.365054458,
            0.363595337,
            0.362136245,
            0.360677153,
            0.359218061,
            0.357758939,
            0.356299847,
            0.354840755,
            0.353381664,
            0.351922572,
            0.350377291,
            0.348675013,
            0.346972734,
            0.345270455,
            0.343568146,
            0.341865867,
            0.340163589,
            0.33846131,
            0.336759031,
            0.335056752,
            0.333354473,
            0.331652194,
            0.329949915,
            0.328247607,
            0.326545328,
            0.324843049,
            0.323196292,
            0.3217372,
            0.320278108,
            0.318819016,
            0.317359895,
            0.315900803,
            0.314441711,
            0.312982619,
            0.311523497,
            0.310064405,
            0.308605313,
            0.307146221,
            0.3056871,
            0.304228008,
            0.302768916,
            0.301309824,
            0.299925387,
            0.299195856,
            0.298466295,
            0.297736734,
            0.297007203,
            0.296277642,
            0.295548081,
            0.29481855,
            0.294088989,
            0.293359458,
            0.292629898,
            0.291900337,
            0.291170806,
            0.290441245,
            0.289711714,
            0.288982153,
            0.288252592,
            0.287523061,
            0.2867935,
            0.286063969,
            0.285334408,
            0.284604877,
            0.283875316,
            0.283145785,
            0.282416224,
            0.281686693,
            0.280957133,
            0.280227602,
            0.279498041,
            0.27876851,
            0.278038949,
            0.277309418,
            0.276579857,
            0.275643498,
            0.27467078,
            0.273698032,
            0.272725314,
            0.271752566,
            0.270779818,
            0.2698071,
            0.268834352,
            0.267861605,
            0.266888887,
            0.265916139,
            0.264943421,
            0.263970673,
            0.262997925,
            0.262025207,
            0.261052459,
            0.259198904,
            0.257010251,
            0.254821599,
            0.252632946,
            0.250444293,
            0.24825564,
            0.246066988,
            0.243878335,
            0.241689682,
            0.239501029,
            0.237312376,
            0.235123724,
            0.232935071,
            0.230746418,
            0.228557765,
            0.226369113,
            0.22403495,
            0.22160311,
            0.219171286,
            0.216739446,
            0.214307621,
            0.211875781,
            0.209443957,
            0.207012117,
            0.204580292,
            0.202148452,
            0.199716628,
            0.197284788,
            0.194852963,
            0.192421123,
            0.189989299,
            0.187557459,
            0.185240522,
            0.183051869,
            0.180863217,
            0.178674579,
            0.176485926,
            0.174297273,
            0.172108635,
            0.169919983,
            0.16773133,
            0.165542677,
            0.163354039,
            0.161165386,
            0.158976734,
            0.156788081,
            0.154599443,
            0.15241079,
            0.150137886,
            0.147706062,
            0.145274222,
            0.142842397,
            0.140410557,
            0.137978733,
            0.135546893,
            0.133115068,
            0.130683228,
            0.128251404,
            0.125819564,
            0.123387739,
            0.120955907,
            0.118524075,
            0.116092242,
            0.11366041,
            0.111603886,
            0.110874332,
            0.110144787,
            0.109415233,
            0.108685687,
            0.107956134,
            0.107226588,
            0.106497034,
            0.105767488,
            0.105037935,
            0.104308389,
            0.103578836,
            0.10284929,
            0.102119736,
            0.10139019,
            0.100660637,
            0.0999310911,
            0.0992015377,
            0.0984719917,
            0.0977424383,
            0.0970128924,
            0.096283339,
            0.095553793,
            0.0948242396,
            0.0940946937,
            0.0933651403,
            0.0926355943,
            0.0919060409,
            0.091176495,
            0.090446949,
            0.0897173956,
            0.0889878422,
            0.0882582963,
            0.088941887,
            0.0896714404,
            0.0904009864,
            0.0911305398,
            0.0918600857,
            0.0925896391,
            0.0933191851,
            0.0940487385,
            0.0947782844,
            0.0955078378,
            0.0962373838,
            0.0969669372,
            0.0976964831,
            0.0984260365,
            0.0991555825,
            0.0998851359,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0995691866,
            0.0988396406,
            0.0981100872,
            0.0973805413,
            0.0966509879,
            0.0959214419,
            0.0951918885,
            0.0944623426,
            0.0937327892,
            0.0930032432,
            0.0922736898,
            0.0915441439,
            0.0908145905,
            0.0900850445,
            0.0893554911,
            0.0886259452,
            0.0874444917,
            0.0857422128,
            0.0840399265,
            0.0823376477,
            0.0806353688,
            0.0789330825,
            0.0772307962,
            0.0755285174,
            0.0738262385,
            0.0721239522,
            0.0704216734,
            0.0687193871,
            0.0670171082,
            0.0653148219,
            0.063612543,
            0.0619102567,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0606292374,
            0.0598996878,
            0.0591701381,
            0.0584405884,
            0.0577110387,
            0.0569814891,
            0.0562519431,
            0.0555223897,
            0.0547928438,
            0.0540632941,
            0.0533337444,
            0.052604191,
            0.0518746451,
            0.0511450954,
            0.0504155457,
            0.049685996,
            0.0488932543,
            0.0474341586,
            0.0459750593,
            0.0445159599,
            0.0430568606,
            0.0415977612,
            0.0401386619,
            0.0386795625,
            0.0372204632,
            0.0357613638,
            0.0343022645,
            0.0328431651,
            0.0313840657,
            0.0299249664,
            0.028465867,
            0.0270067677,
            0.0255476683,
            0.0240885708,
            0.0226294715,
            0.0211703721,
            0.0197112728,
            0.0182521734,
            0.0167930741,
            0.0153339747,
            0.0138748754,
            0.012415777,
            0.0109566776,
            0.00949757919,
            0.00803847983,
            0.00657938048,
            0.00512028113,
            0.00366118178,
            0.00220208243,
            0.00114892679,
            0.000176194008,
            -0.000796538778,
            -0.00176927168,
            -0.00274200458,
            -0.00371473702,
            -0.00468746992,
            -0.00566020282,
            -0.00663293526,
            -0.00760566816,
            -0.00857840106,
            -0.00955113396,
            -0.0105238669,
            -0.0114965998,
            -0.0124693327,
            -0.0134420646,
            -0.014759467,
            -0.0162185654,
            -0.0176776648,
            -0.0191367641,
            -0.0205958635,
            -0.0220549628,
            -0.0235140622,
            -0.0249731615,
            -0.0264322609,
            -0.0278913602,
            -0.0293504596,
            -0.0308095571,
            -0.0322686583,
            -0.0337277576,
            -0.035186857,
            -0.0366459563,
            -0.038105052,
            -0.0395641513,
            -0.0410232507,
            -0.04248235,
            -0.0439414494,
            -0.0454005487,
            -0.0468596481,
            -0.0483187474,
            -0.0497778468,
            -0.0512369461,
            -0.0526960455,
            -0.0541551448,
            -0.0556142442,
            -0.0570733435,
            -0.0585324429,
            -0.0599915422,
            -0.0618948825,
            -0.064326711,
            -0.0667585433,
            -0.0691903755,
            -0.0716222078,
            -0.07405404,
            -0.0764858723,
            -0.0789177045,
            -0.0813495368,
            -0.083781369,
            -0.0862132013,
            -0.0886450335,
            -0.0910768658,
            -0.093508698,
            -0.0959405303,
            -0.0983723551,
            -0.100241229,
            -0.100970782,
            -0.101700328,
            -0.102429874,
            -0.10315942,
            -0.103888974,
            -0.10461852,
            -0.105348065,
            -0.106077611,
            -0.106807165,
            -0.107536711,
            -0.108266257,
            -0.108995803,
            -0.109725356,
            -0.110454902,
            -0.111184448,
            -0.111913994,
            -0.112643547,
            -0.113373101,
            -0.114102654,
            -0.1148322,
            -0.115561754,
            -0.116291307,
            -0.11702086,
            -0.117750406,
            -0.11847996,
            -0.119209513,
            -0.119939059,
            -0.120668612,
            -0.121398166,
            -0.122127719,
            -0.122857265,
            -0.123605967,
            -0.124578699,
            -0.125551432,
            -0.126524165,
            -0.127496913,
            -0.128469646,
            -0.129442379,
            -0.130415112,
            -0.131387845,
            -0.132360578,
            -0.13333331,
            -0.134306043,
            -0.135278791,
            -0.136251524,
            -0.137224257,
            -0.13819699,
            -0.139169723,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.138411447,
            -0.137438715,
            -0.136465982,
            -0.135493249,
            -0.134520516,
            -0.133547783,
            -0.132575035,
            -0.131602302,
            -0.130629569,
            -0.129656836,
            -0.128684103,
            -0.127711371,
            -0.126738638,
            -0.125765905,
            -0.124793164,
            -0.123820432,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.124088503,
            -0.125061244,
            -0.126033977,
            -0.12700671,
            -0.127979442,
            -0.128952175,
            -0.129924908,
            -0.130897641,
            -0.131870389,
            -0.132843122,
            -0.133815855,
            -0.134788588,
            -0.135761321,
            -0.136734053,
            -0.137706786,
            -0.138679519,
            -0.139543116,
            -0.140272662,
            -0.141002208,
            -0.141731769,
            -0.142461315,
            -0.143190861,
            -0.143920407,
            -0.144649968,
            -0.145379514,
            -0.146109059,
            -0.146838605,
            -0.147568166,
            -0.148297712,
            -0.149027258,
            -0.149756804,
            -0.15048635,
            -0.151215911,
            -0.151945457,
            -0.152675003,
            -0.153404549,
            -0.15413411,
            -0.154863656,
            -0.155593202,
            -0.156322747,
            -0.157052308,
            -0.157781854,
            -0.1585114,
            -0.159240946,
            -0.159970507,
            -0.160700053,
            -0.161429599,
            -0.162159145,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162848487,
            -0.164307594,
            -0.165766686,
            -0.167225793,
            -0.168684885,
            -0.170143992,
            -0.171603084,
            -0.173062176,
            -0.174521282,
            -0.175980389,
            -0.177439481,
            -0.178898573,
            -0.18035768,
            -0.181816787,
            -0.183275878,
            -0.18473497,
            -0.186194077,
            -0.18788296,
            -0.189585239,
            -0.191287518,
            -0.192989796,
            -0.19469209,
            -0.196394369,
            -0.198096648,
            -0.199798927,
            -0.20150122,
            -0.203203499,
            -0.204905778,
            -0.206608057,
            -0.208310336,
            -0.21001263,
            -0.211714908,
            -0.213417187,
            -0.21432291,
            -0.215052456,
            -0.215782002,
            -0.216511548,
            -0.217241108,
            -0.217970654,
            -0.2187002,
            -0.219429746,
            -0.220159307,
            -0.220888853,
            -0.221618399,
            -0.222347945,
            -0.223077506,
            -0.223807052,
            -0.224536598,
            -0.225266144,
            -0.226501212,
            -0.227960318,
            -0.22941941,
            -0.230878502,
            -0.232337609,
            -0.233796716,
            -0.235255808,
            -0.2367149,
            -0.238174006,
            -0.239633098,
            -0.241092205,
            -0.242551297,
            -0.244010404,
            -0.245469496,
            -0.246928602,
            -0.248387694,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.248519823,
            -0.247790277,
            -0.247060716,
            -0.24633117,
            -0.245601624,
            -0.244872078,
            -0.244142532,
            -0.243412971,
            -0.242683426,
            -0.24195388,
            -0.241224334,
            -0.240494773,
            -0.239765227,
            -0.239035681,
            -0.238306135,
            -0.237576574,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.236938938,
            -0.236209393,
            -0.235479847,
            -0.234750286,
            -0.23402074,
            -0.233291194,
            -0.232561648,
            -0.231832087,
            -0.231102541,
            -0.230372995,
            -0.229643449,
            -0.228913903,
            -0.228184342,
            -0.227454796,
            -0.22672525,
            -0.22599569,
            -0.224967435,
            -0.223265156,
            -0.221562862,
            -0.219860584,
            -0.218158305,
            -0.216456026,
            -0.214753747,
            -0.213051453,
            -0.211349174,
            -0.209646896,
            -0.207944617,
            -0.206242323,
            -0.204540044,
            -0.202837765,
            -0.201135486,
            -0.199433193,
            -0.197642833,
            -0.19545418,
            -0.193265542,
            -0.19107689,
            -0.188888237,
            -0.186699584,
            -0.184510946,
            -0.182322294,
            -0.180133641,
            -0.177944988,
            -0.17575635,
            -0.173567697,
            -0.171379045,
            -0.169190407,
            -0.167001754,
            -0.164813101,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.163331032,
            -0.164060578,
            -0.164790124,
            -0.16551967,
            -0.166249231,
            -0.166978776,
            -0.167708322,
            -0.168437868,
            -0.169167429,
            -0.169896975,
            -0.170626521,
            -0.171356067,
            -0.172085613,
            -0.172815174,
            -0.17354472,
            -0.174274266,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174107686,
            -0.173378125,
            -0.172648579,
            -0.171919033,
            -0.171189487,
            -0.170459926,
            -0.16973038,
            -0.169000834,
            -0.168271288,
            -0.167541727,
            -0.166812181,
            -0.166082636,
            -0.16535309,
            -0.164623529,
            -0.163893983,
            -0.163164437,
            -0.162124678,
            -0.160665587,
            -0.15920648,
            -0.157747388,
            -0.156288281,
            -0.154829189,
            -0.153370082,
            -0.15191099,
            -0.150451884,
            -0.148992792,
            -0.147533685,
            -0.146074593,
            -0.144615501,
            -0.143156394,
            -0.141697288,
            -0.140238196,
            -0.138706326,
            -0.137004048,
            -0.135301754,
            -0.133599475,
            -0.131897181,
            -0.130194902,
            -0.128492624,
            -0.12679033,
            -0.125088036,
            -0.123385757,
            -0.121683471,
            -0.119981185,
            -0.118278898,
            -0.116576612,
            -0.114874326,
            -0.113172039,
            -0.111638263,
            -0.110908717,
            -0.110179164,
            -0.109449618,
            -0.108720072,
            -0.107990526,
            -0.107260972,
            -0.106531426,
            -0.10580188,
            -0.105072334,
            -0.104342781,
            -0.103613235,
            -0.102883689,
            -0.102154143,
            -0.10142459,
            -0.100695044,
            -0.0999654979,
            -0.0992359444,
            -0.0985063985,
            -0.0977768451,
            -0.0970472991,
            -0.0963177532,
            -0.0955881998,
            -0.0948586464,
            -0.0941291004,
            -0.0933995545,
            -0.0926700011,
            -0.0919404477,
            -0.0912109017,
            -0.0904813558,
            -0.0897518024,
            -0.0890222564,
            -0.088292703,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0868814737,
            -0.0851791948,
            -0.0834769085,
            -0.0817746297,
            -0.0800723433,
            -0.0783700645,
            -0.0766677782,
            -0.0749654993,
            -0.073263213,
            -0.0715609342,
            -0.0698586553,
            -0.068156369,
            -0.0664540827,
            -0.0647518039,
            -0.063049525,
            -0.0613472387,
            -0.0602959991,
            -0.0595664494,
            -0.0588368997,
            -0.05810735,
            -0.0573778003,
            -0.0566482507,
            -0.055918701,
            -0.0551891513,
            -0.0544596016,
            -0.053730052,
            -0.0530005023,
            -0.0522709526,
            -0.0515414029,
            -0.0508118533,
            -0.0500823036,
            -0.0493527539,
            -0.0486232042,
            -0.0478936546,
            -0.0471641049,
            -0.0464345552,
            -0.0457050055,
            -0.0449754596,
            -0.0442459062,
            -0.0435163602,
            -0.0427868105,
            -0.0420572609,
            -0.0413277112,
            -0.0405981615,
            -0.0398686118,
            -0.0391390622,
            -0.0384095125,
            -0.0376799628,
            -0.0366459563,
            -0.035186857,
            -0.0337277576,
            -0.0322686583,
            -0.0308095589,
            -0.0293504596,
            -0.0278913602,
            -0.0264322609,
            -0.0249731615,
            -0.0235140622,
            -0.0220549628,
            -0.0205958635,
            -0.0191367641,
            -0.0176776648,
            -0.0162185654,
            -0.0147594661,
            -0.0134420646,
            -0.0124693327,
            -0.0114965998,
            -0.0105238669,
            -0.00955113396,
            -0.00857840106,
            -0.00760566816,
            -0.00663293526,
            -0.00566020235,
            -0.00468746945,
            -0.00371473748,
            -0.00274200458,
            -0.00176927168,
            -0.000796538778,
            0.000176194124,
            0.00114892703,
            0.00220208243,
            0.00366118154,
            0.00512028066,
            0.00657938002,
            0.0080384789,
            0.00949757826,
            0.0109566776,
            0.012415777,
            0.0138748754,
            0.0153339747,
            0.0167930741,
            0.0182521734,
            0.0197112728,
            0.0211703721,
            0.0226294715,
            0.0240885708,
            0.0255189463,
            0.026248496,
            0.0269780457,
            0.0277075954,
            0.0284371451,
            0.0291666947,
            0.0298962444,
            0.0306257941,
            0.0313553438,
            0.0320848934,
            0.0328144431,
            0.0335439928,
            0.0342735425,
            0.0350030921,
            0.0357326418,
            0.0364621915,
            0.0371917412,
            0.0379212908,
            0.0386508405,
            0.0393803902,
            0.0401099399,
            0.0408394895,
            0.0415690392,
            0.0422985889,
            0.0430281386,
            0.0437576845,
            0.0444872379,
            0.0452167839,
            0.0459463373,
            0.0466758832,
            0.0474054366,
            0.0481349826,
            0.0488645323,
            0.0495940819,
            0.0503236316,
            0.0510531813,
            0.051782731,
            0.0525122806,
            0.0532418303,
            0.05397138,
            0.0547009297,
            0.0554304793,
            0.056160029,
            0.0568895787,
            0.0576191284,
            0.0583486781,
            0.0590782277,
            0.0598077774,
            0.0605373271,
            0.0614277236,
            0.0624004565,
            0.0633731857,
            0.0643459186,
            0.0653186515,
            0.0662913844,
            0.0672641173,
            0.0682368502,
            0.0692095831,
            0.070182316,
            0.0711550489,
            0.0721277818,
            0.0731005147,
            0.0740732476,
            0.0750459805,
            0.0760187134,
            0.0772518665,
            0.0787109658,
            0.0801700652,
            0.0816291571,
            0.0830882639,
            0.0845473558,
            0.0860064626,
            0.0874655545,
            0.0889246538,
            0.0903837532,
            0.0918428525,
            0.0933019519,
            0.0947610512,
            0.0962201506,
            0.0976792499,
            0.0991383493,
            0.10029874,
            0.101028286,
            0.101757839,
            0.102487385,
            0.103216939,
            0.103946485,
            0.104676038,
            0.105405584,
            0.10613513,
            0.106864683,
            0.107594237,
            0.108323783,
            0.109053329,
            0.109782882,
            0.110512435,
            0.111241981,
            0.112454064,
            0.114885896,
            0.117317729,
            0.119749561,
            0.122181393,
            0.124613225,
            0.127045065,
            0.12947689,
            0.131908715,
            0.134340554,
            0.136772394,
            0.139204219,
            0.141636044,
            0.144067883,
            0.146499723,
            0.148931548,
            0.151210189,
            0.152669296,
            0.154128388,
            0.155587494,
            0.157046586,
            0.158505693,
            0.159964785,
            0.161423892,
            0.162882984,
            0.16434209,
            0.165801182,
            0.167260289,
            0.168719381,
            0.170178488,
            0.17163758,
            0.173096687,
            0.174532801,
            0.175262347,
            0.175991908,
            0.176721454,
            0.177451,
            0.178180546,
            0.178910106,
            0.179639652,
            0.180369198,
            0.181098744,
            0.18182829,
            0.182557851,
            0.183287397,
            0.184016943,
            0.184746489,
            0.18547605,
            0.186205596,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185797736,
            0.18506819,
            0.184338644,
            0.183609083,
            0.182879537,
            0.182149991,
            0.181420445,
            0.180690885,
            0.179961339,
            0.179231793,
            0.178502247,
            0.177772686,
            0.17704314,
            0.176313594,
            0.175584048,
            0.174854487,
            0.174124941,
            0.173395395,
            0.172665849,
            0.171936303,
            0.171206757,
            0.170477211,
            0.169747666,
            0.16901812,
            0.168288574,
            0.167559028,
            0.166829482,
            0.166099936,
            0.16537039,
            0.164640844,
            0.163911298,
            0.163181752,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.163400039,
            0.164129585,
            0.164859131,
            0.165588677,
            0.166318223,
            0.167047769,
            0.167777315,
            0.168506861,
            0.169236407,
            0.169965953,
            0.170695499,
            0.171425045,
            0.17215459,
            0.172884136,
            0.173613682,
            0.174343228,
            0.175072789,
            0.175802335,
            0.176531881,
            0.177261427,
            0.177990988,
            0.178720534,
            0.17945008,
            0.180179626,
            0.180909187,
            0.181638733,
            0.182368279,
            0.183097824,
            0.18382737,
            0.184556931,
            0.185286477,
            0.186016023,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.18678005,
            0.187752783,
            0.188725516,
            0.189698249,
            0.190670997,
            0.19164373,
            0.192616463,
            0.193589196,
            0.194561943,
            0.195534676,
            0.196507409,
            0.197480142,
            0.19845289,
            0.199425623,
            0.200398356,
            0.201371089,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201700449,
            0.200727701,
            0.199754968,
            0.198782235,
            0.197809502,
            0.196836755,
            0.195864022,
            0.194891289,
            0.193918556,
            0.192945808,
            0.191973075,
            0.191000342,
            0.190027609,
            0.189054877,
            0.188082129,
            0.187109396,
            0.186412394,
            0.187385127,
            0.188357875,
            0.189330608,
            0.190303341,
            0.191276073,
            0.192248821,
            0.193221554,
            0.194194287,
            0.19516702,
            0.196139768,
            0.197112501,
            0.198085234,
            0.199057966,
            0.200030714,
            0.201003447,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.202518076,
            0.203247622,
            0.203977168,
            0.204706714,
            0.20543626,
            0.206165805,
            0.206895351,
            0.207624897,
            0.208354443,
            0.209083989,
            0.209813535,
            0.210543081,
            0.211272627,
            0.212002173,
            0.212731719,
            0.213461265,
            0.214190811,
            0.214920357,
            0.215649903,
            0.216379464,
            0.21710901,
            0.217838556,
            0.218568102,
            0.219297662,
            0.220027208,
            0.220756754,
            0.2214863,
            0.222215861,
            0.222945407,
            0.223674953,
            0.224404499,
            0.22513406,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225771695,
            0.226501241,
            0.227230787,
            0.227960348,
            0.228689894,
            0.22941944,
            0.230148986,
            0.230878532,
            0.231608093,
            0.232337639,
            0.233067185,
            0.233796746,
            0.234526291,
            0.235255837,
            0.235985383,
            0.236714929,
            0.23744449,
            0.238174036,
            0.238903582,
            0.239633128,
            0.240362689,
            0.241092235,
            0.241821781,
            0.242551327,
            0.243280888,
            0.244010434,
            0.24473998,
            0.245469525,
            0.246199086,
            0.246928632,
            0.247658178,
            0.248387724,
            0.249117285,
            0.249846831,
            0.250576377,
            0.251305938,
            0.252035499,
            0.252765059,
            0.253494591,
            0.254224151,
            0.254953712,
            0.255683273,
            0.256412804,
            0.257142365,
            0.257871926,
            0.258601487,
            0.259331018,
            0.260060579,
            0.260797799,
            0.262500077,
            0.264202356,
            0.265904635,
            0.267606914,
            0.269309193,
            0.271011472,
            0.27271378,
            0.274416059,
            0.276118338,
            0.277820617,
            0.279522896,
            0.281225175,
            0.282927454,
            0.284629732,
            0.286332011,
            0.28803432,
            0.289522141,
            0.290981233,
            0.292440325,
            0.293899417,
            0.295358539,
            0.296817631,
            0.298276722,
            0.299735814,
            0.301194936,
            0.302654028,
            0.30411312,
            0.305572212,
            0.307031333,
            0.308490425,
            0.309949517,
            0.311408609,
            0.312316239,
            0.3130458,
            0.313775361,
            0.314504892,
            0.315234452,
            0.315963984,
            0.316693544,
            0.317423105,
            0.318152636,
            0.318882197,
            0.319611728,
            0.320341289,
            0.32107085,
            0.321800381,
            0.322529942,
            0.323259503,
            0.324142218,
            0.325114965,
            0.326087683,
            0.327060431,
            0.328033149,
            0.329005897,
            0.329978615,
            0.330951363,
            0.331924081,
            0.332896829,
            0.333869547,
            0.334842294,
            0.335815012,
            0.33678776,
            0.337760478,
            0.338733226,
            0.339951038,
            0.34141016,
            0.342869252,
            0.344328344,
            0.345787436,
            0.347246557,
            0.348705649,
            0.350164741,
            0.351623833,
            0.353082955,
            0.354542047,
            0.356001139,
            0.357460231,
            0.358919352,
            0.360378444,
            0.361837536,
            0.363664269,
            0.366096109,
            0.368527949,
            0.370959789,
            0.373391598,
            0.375823438,
            0.378255278,
            0.380687118,
            0.383118927,
            0.385550767,
            0.387982607,
            0.390414447,
            0.392846256,
            0.395278096,
            0.397709936,
            0.400141776,
            0.40214467,
            0.402874231,
            0.403603762,
            0.404333323,
            0.405062854,
            0.405792415,
            0.406521946,
            0.407251507,
            0.407981038,
            0.408710599,
            0.40944013,
            0.410169691,
            0.410899222,
            0.411628783,
            0.412358314,
            0.413087875,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495
          ],
          [
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44838202,
            0.447652489,
            0.446922928,
            0.446193397,
            0.445463836,
            0.444734275,
            0.444004744,
            0.443275183,
            0.442545623,
            0.441816092,
            0.441086531,
            0.440357,
            0.439627439,
            0.438897878,
            0.438168347,
            0.437438786,
            0.436709225,
            0.435979694,
            0.435250133,
            0.434520602,
            0.433791041,
            0.433061481,
            0.432331949,
            0.431602389,
            0.430872858,
            0.430143297,
            0.429413736,
            0.428684205,
            0.427954644,
            0.427225083,
            0.426495552,
            0.425765991,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.425220281,
            0.42449072,
            0.423761159,
            0.423031598,
            0.422302067,
            0.421572506,
            0.420842946,
            0.420113385,
            0.419383854,
            0.418654293,
            0.417924732,
            0.417195171,
            0.41646564,
            0.415736079,
            0.415006518,
            0.414276958,
            0.413547426,
            0.412817866,
            0.412088335,
            0.411358774,
            0.410629243,
            0.409899682,
            0.409170151,
            0.40844059,
            0.407711059,
            0.406981498,
            0.406251967,
            0.405522406,
            0.404792875,
            0.404063314,
            0.403333783,
            0.402604222,
            0.401845962,
            0.400873214,
            0.399900496,
            0.398927748,
            0.39795503,
            0.396982282,
            0.396009564,
            0.395036817,
            0.394064099,
            0.393091351,
            0.392118633,
            0.391145885,
            0.390173167,
            0.389200449,
            0.388227701,
            0.387254953,
            0.386282235,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386994541,
            0.387967288,
            0.388940006,
            0.389912754,
            0.390885472,
            0.39185822,
            0.392830938,
            0.393803686,
            0.394776404,
            0.395749152,
            0.39672187,
            0.397694618,
            0.398667336,
            0.399640083,
            0.400612801,
            0.401585549,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.402317017,
            0.403046548,
            0.403776109,
            0.40450564,
            0.405235201,
            0.405964732,
            0.406694293,
            0.407423824,
            0.408153385,
            0.408882916,
            0.409612477,
            0.410342008,
            0.411071569,
            0.4118011,
            0.412530661,
            0.413260192,
            0.413989753,
            0.414719284,
            0.415448844,
            0.416178405,
            0.416907966,
            0.417637497,
            0.418367058,
            0.419096619,
            0.41982618,
            0.420555711,
            0.421285272,
            0.422014832,
            0.422744393,
            0.423473924,
            0.424203485,
            0.424933046,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.424772203,
            0.424042642,
            0.423313081,
            0.42258355,
            0.421853989,
            0.421124429,
            0.420394868,
            0.419665337,
            0.418935776,
            0.418206215,
            0.417476654,
            0.416747123,
            0.416017562,
            0.415288001,
            0.41455844,
            0.413828909,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413191259,
            0.412461728,
            0.411732167,
            0.411002636,
            0.410273075,
            0.409543544,
            0.408813983,
            0.408084452,
            0.407354891,
            0.40662536,
            0.405895799,
            0.405166268,
            0.404436707,
            0.403707176,
            0.402977616,
            0.402248085,
            0.400928766,
            0.399226487,
            0.397524178,
            0.395821899,
            0.39411962,
            0.392417341,
            0.390715063,
            0.389012784,
            0.387310505,
            0.385608226,
            0.383905947,
            0.382203639,
            0.38050136,
            0.378799081,
            0.377096802,
            0.375394523,
            0.37380904,
            0.372349948,
            0.370890856,
            0.369431734,
            0.367972642,
            0.36651355,
            0.365054458,
            0.363595337,
            0.362136245,
            0.360677153,
            0.359218061,
            0.357758939,
            0.356299847,
            0.354840755,
            0.353381664,
            0.351922572,
            0.350377291,
            0.348675013,
            0.346972734,
            0.345270455,
            0.343568146,
            0.341865867,
            0.340163589,
            0.33846131,
            0.336759031,
            0.335056752,
            0.333354473,
            0.331652194,
            0.329949915,
            0.328247607,
            0.326545328,
            0.324843049,
            0.323196292,
            0.3217372,
            0.320278108,
            0.318819016,
            0.317359895,
            0.315900803,
            0.314441711,
            0.312982619,
            0.311523497,
            0.310064405,
            0.308605313,
            0.307146221,
            0.3056871,
            0.304228008,
            0.302768916,
            0.301309824,
            0.299925387,
            0.299195856,
            0.298466295,
            0.297736734,
            0.297007203,
            0.296277642,
            0.295548081,
            0.29481855,
            0.294088989,
            0.293359458,
            0.292629898,
            0.291900337,
            0.291170806,
            0.290441245,
            0.289711714,
            0.288982153,
            0.288252592,
            0.287523061,
            0.2867935,
            0.286063969,
            0.285334408,
            0.284604877,
            0.283875316,
            0.283145785,
            0.282416224,
            0.281686693,
            0.280957133,
            0.280227602,
            0.279498041,
            0.27876851,
            0.278038949,
            0.277309418,
            0.276579857,
            0.275023103,
            0.273320824,
            0.271618515,
            0.269916236,
            0.268213958,
            0.266511649,
            0.26480937,
            0.263107061,
            0.261404783,
            0.259702504,
            0.258000195,
            0.256297916,
            0.254595637,
            0.252893329,
            0.25119105,
            0.249488756,
            0.247434139,
            0.245245501,
            0.243056849,
            0.240868196,
            0.238679543,
            0.236490905,
            0.234302253,
            0.2321136,
            0.229924947,
            0.227736309,
            0.225547656,
            0.223359004,
            0.221170366,
            0.218981713,
            0.21679306,
            0.214604408,
            0.212270245,
            0.209838405,
            0.20740658,
            0.204974741,
            0.202542916,
            0.200111076,
            0.197679251,
            0.195247412,
            0.192815587,
            0.190383747,
            0.187951922,
            0.185520083,
            0.183088258,
            0.180656418,
            0.178224593,
            0.175792754,
            0.173820481,
            0.172361389,
            0.170902282,
            0.16944319,
            0.167984083,
            0.166524991,
            0.165065885,
            0.163606793,
            0.162147686,
            0.160688594,
            0.159229487,
            0.157770395,
            0.156311303,
            0.154852197,
            0.15339309,
            0.151933998,
            0.15039064,
            0.148688361,
            0.146986082,
            0.145283803,
            0.14358151,
            0.141879231,
            0.140176952,
            0.138474673,
            0.136772394,
            0.1350701,
            0.133367822,
            0.131665543,
            0.129963249,
            0.12826097,
            0.126558691,
            0.124856412,
            0.12320774,
            0.121748641,
            0.120289542,
            0.118830442,
            0.117371343,
            0.115912244,
            0.114453152,
            0.112994045,
            0.111534953,
            0.110075846,
            0.108616754,
            0.107157648,
            0.105698556,
            0.104239456,
            0.102780357,
            0.101321258,
            0.0999310911,
            0.0992015377,
            0.0984719917,
            0.0977424383,
            0.0970128924,
            0.096283339,
            0.095553793,
            0.0948242396,
            0.0940946937,
            0.0933651403,
            0.0926355943,
            0.0919060409,
            0.091176495,
            0.090446949,
            0.0897173956,
            0.0889878422,
            0.0882582963,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0888499767,
            0.0895795301,
            0.090309076,
            0.0910386294,
            0.0917681754,
            0.0924977288,
            0.0932272747,
            0.0939568281,
            0.0946863741,
            0.0954159275,
            0.0961454734,
            0.0968750268,
            0.0976045728,
            0.0983341262,
            0.0990636721,
            0.0997932255,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0995691866,
            0.0988396406,
            0.0981100872,
            0.0973805413,
            0.0966509879,
            0.0959214419,
            0.0951918885,
            0.0944623426,
            0.0937327892,
            0.0930032432,
            0.0922736898,
            0.0915441439,
            0.0908145905,
            0.0900850445,
            0.0893554911,
            0.0886259452,
            0.0878963917,
            0.0871668458,
            0.0864372924,
            0.0857077464,
            0.084978193,
            0.0842486471,
            0.0835190937,
            0.0827895477,
            0.0820599943,
            0.0813304484,
            0.080600895,
            0.079871349,
            0.0791417956,
            0.0784122497,
            0.0776827037,
            0.0769531503,
            0.0761412606,
            0.0751685277,
            0.0741957948,
            0.0732230619,
            0.072250329,
            0.0712775961,
            0.0703048632,
            0.0693321303,
            0.0683594048,
            0.0673866719,
            0.066413939,
            0.0654412061,
            0.0644684732,
            0.0634957403,
            0.0625230074,
            0.0615502708,
            0.0604741387,
            0.0590150394,
            0.05755594,
            0.0560968406,
            0.0546377413,
            0.0531786419,
            0.0517195426,
            0.0502604432,
            0.0488013439,
            0.0473422445,
            0.0458831452,
            0.0444240458,
            0.0429649502,
            0.0415058509,
            0.0400467515,
            0.0385876521,
            0.0371285491,
            0.0356694534,
            0.0342103541,
            0.0327512547,
            0.0312921554,
            0.029833056,
            0.0283739567,
            0.0269148573,
            0.025455758,
            0.0239966586,
            0.0225375593,
            0.0210784599,
            0.0196193606,
            0.0181602612,
            0.0167011619,
            0.0152420625,
            0.0137829632,
            0.0120902555,
            0.0103879739,
            0.00868569128,
            0.0069834087,
            0.00528112613,
            0.00357884355,
            0.0018765619,
            0.000174279325,
            -0.00152800325,
            -0.0032302849,
            -0.00493256748,
            -0.00663485005,
            -0.00833713263,
            -0.0100394152,
            -0.0117416978,
            -0.0134439804,
            -0.014334375,
            -0.0150639247,
            -0.0157934744,
            -0.0165230241,
            -0.0172525737,
            -0.0179821234,
            -0.0187116731,
            -0.0194412228,
            -0.0201707706,
            -0.0209003203,
            -0.0216298699,
            -0.0223594196,
            -0.0230889693,
            -0.023818519,
            -0.0245480686,
            -0.0252776183,
            -0.026007168,
            -0.0267367177,
            -0.0274662673,
            -0.028195817,
            -0.0289253667,
            -0.0296549164,
            -0.0303844661,
            -0.0311140157,
            -0.0318435654,
            -0.0325731151,
            -0.0333026648,
            -0.0340322144,
            -0.0347617641,
            -0.0354913138,
            -0.0362208635,
            -0.0369504131,
            -0.038105052,
            -0.0395641513,
            -0.0410232507,
            -0.04248235,
            -0.0439414494,
            -0.0454005487,
            -0.0468596481,
            -0.0483187474,
            -0.0497778468,
            -0.0512369461,
            -0.0526960455,
            -0.0541551448,
            -0.0556142442,
            -0.0570733435,
            -0.0585324429,
            -0.0599915422,
            -0.0615617,
            -0.0632639825,
            -0.0649662614,
            -0.0666685477,
            -0.068370834,
            -0.0700731128,
            -0.0717753917,
            -0.073477678,
            -0.0751799569,
            -0.0768822432,
            -0.078584522,
            -0.0802868083,
            -0.0819890872,
            -0.0836913735,
            -0.0853936523,
            -0.0870959386,
            -0.0884765238,
            -0.0892060772,
            -0.0899356231,
            -0.0906651765,
            -0.0913947225,
            -0.0921242759,
            -0.0928538218,
            -0.0935833752,
            -0.0943129212,
            -0.0950424746,
            -0.0957720205,
            -0.0965015739,
            -0.0972311199,
            -0.0979606733,
            -0.0986902192,
            -0.0994197726,
            -0.100149319,
            -0.100878865,
            -0.101608418,
            -0.102337964,
            -0.10306751,
            -0.103797056,
            -0.104526609,
            -0.105256155,
            -0.105985701,
            -0.106715247,
            -0.1074448,
            -0.108174346,
            -0.108903892,
            -0.109633438,
            -0.110362992,
            -0.111092538,
            -0.111822084,
            -0.112551637,
            -0.11328119,
            -0.114010736,
            -0.11474029,
            -0.115469843,
            -0.116199397,
            -0.116928943,
            -0.117658496,
            -0.118388049,
            -0.119117603,
            -0.119847149,
            -0.120576702,
            -0.121306255,
            -0.122035801,
            -0.122765355,
            -0.123494908,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123965956,
            -0.124938689,
            -0.12591143,
            -0.126884162,
            -0.127856895,
            -0.128829628,
            -0.129802361,
            -0.130775094,
            -0.131747827,
            -0.132720575,
            -0.133693308,
            -0.134666041,
            -0.135638773,
            -0.136611506,
            -0.137584239,
            -0.138556972,
            -0.139451206,
            -0.140180752,
            -0.140910298,
            -0.141639844,
            -0.142369404,
            -0.14309895,
            -0.143828496,
            -0.144558042,
            -0.145287603,
            -0.146017149,
            -0.146746695,
            -0.147476241,
            -0.148205802,
            -0.148935348,
            -0.149664894,
            -0.15039444,
            -0.151124001,
            -0.151853547,
            -0.152583092,
            -0.153312638,
            -0.154042199,
            -0.154771745,
            -0.155501291,
            -0.156230837,
            -0.156960398,
            -0.157689944,
            -0.15841949,
            -0.159149036,
            -0.159878597,
            -0.160608143,
            -0.161337689,
            -0.162067235,
            -0.162848487,
            -0.164307594,
            -0.165766686,
            -0.167225793,
            -0.168684885,
            -0.170143992,
            -0.171603084,
            -0.173062176,
            -0.174521282,
            -0.175980389,
            -0.177439481,
            -0.178898573,
            -0.18035768,
            -0.181816787,
            -0.183275878,
            -0.18473497,
            -0.186194077,
            -0.18788296,
            -0.189585239,
            -0.191287518,
            -0.192989796,
            -0.19469209,
            -0.196394369,
            -0.198096648,
            -0.199798927,
            -0.20150122,
            -0.203203499,
            -0.204905778,
            -0.206608057,
            -0.208310336,
            -0.21001263,
            -0.211714908,
            -0.213417187,
            -0.21432291,
            -0.215052456,
            -0.215782002,
            -0.216511548,
            -0.217241108,
            -0.217970654,
            -0.2187002,
            -0.219429746,
            -0.220159307,
            -0.220888853,
            -0.221618399,
            -0.222347945,
            -0.223077506,
            -0.223807052,
            -0.224536598,
            -0.225266144,
            -0.225995705,
            -0.22672525,
            -0.227454796,
            -0.228184342,
            -0.228913903,
            -0.229643449,
            -0.230372995,
            -0.231102541,
            -0.231832087,
            -0.232561648,
            -0.233291194,
            -0.23402074,
            -0.234750286,
            -0.235479847,
            -0.236209393,
            -0.236938938,
            -0.237668484,
            -0.238398045,
            -0.239127591,
            -0.239857137,
            -0.240586683,
            -0.241316244,
            -0.24204579,
            -0.242775336,
            -0.243504882,
            -0.244234443,
            -0.244963989,
            -0.245693535,
            -0.246423081,
            -0.247152641,
            -0.247882187,
            -0.248611733,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.248519823,
            -0.247790277,
            -0.247060716,
            -0.24633117,
            -0.245601624,
            -0.244872078,
            -0.244142532,
            -0.243412971,
            -0.242683426,
            -0.24195388,
            -0.241224334,
            -0.240494773,
            -0.239765227,
            -0.239035681,
            -0.238306135,
            -0.237576574,
            -0.236847028,
            -0.236117482,
            -0.235387936,
            -0.234658375,
            -0.233928829,
            -0.233199283,
            -0.232469738,
            -0.231740177,
            -0.231010631,
            -0.230281085,
            -0.229551539,
            -0.228821978,
            -0.228092432,
            -0.227362886,
            -0.22663334,
            -0.225903779,
            -0.225174233,
            -0.224444687,
            -0.223715141,
            -0.222985581,
            -0.222256035,
            -0.221526489,
            -0.220796943,
            -0.220067382,
            -0.219337836,
            -0.21860829,
            -0.217878744,
            -0.217149198,
            -0.216419637,
            -0.215690091,
            -0.214960545,
            -0.214230984,
            -0.21320273,
            -0.211500451,
            -0.209798157,
            -0.208095878,
            -0.2063936,
            -0.204691321,
            -0.202989042,
            -0.201286748,
            -0.199584469,
            -0.19788219,
            -0.196179911,
            -0.194477618,
            -0.192775339,
            -0.19107306,
            -0.189370781,
            -0.187668487,
            -0.186010256,
            -0.18455115,
            -0.183092058,
            -0.181632951,
            -0.180173859,
            -0.178714752,
            -0.17725566,
            -0.175796553,
            -0.174337462,
            -0.172878355,
            -0.171419263,
            -0.169960156,
            -0.168501064,
            -0.167041957,
            -0.165582865,
            -0.164123759,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.163331032,
            -0.164060578,
            -0.164790124,
            -0.16551967,
            -0.166249231,
            -0.166978776,
            -0.167708322,
            -0.168437868,
            -0.169167429,
            -0.169896975,
            -0.170626521,
            -0.171356067,
            -0.172085613,
            -0.172815174,
            -0.17354472,
            -0.174274266,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174107686,
            -0.173378125,
            -0.172648579,
            -0.171919033,
            -0.171189487,
            -0.170459926,
            -0.16973038,
            -0.169000834,
            -0.168271288,
            -0.167541727,
            -0.166812181,
            -0.166082636,
            -0.16535309,
            -0.164623529,
            -0.163893983,
            -0.163164437,
            -0.162124678,
            -0.160665587,
            -0.15920648,
            -0.157747388,
            -0.156288281,
            -0.154829189,
            -0.153370082,
            -0.15191099,
            -0.150451884,
            -0.148992792,
            -0.147533685,
            -0.146074593,
            -0.144615501,
            -0.143156394,
            -0.141697288,
            -0.140238196,
            -0.138706326,
            -0.137004048,
            -0.135301754,
            -0.133599475,
            -0.131897181,
            -0.130194902,
            -0.128492624,
            -0.12679033,
            -0.125088036,
            -0.123385757,
            -0.121683471,
            -0.119981185,
            -0.118278898,
            -0.116576612,
            -0.114874326,
            -0.113172039,
            -0.111638263,
            -0.110908717,
            -0.110179164,
            -0.109449618,
            -0.108720072,
            -0.107990526,
            -0.107260972,
            -0.106531426,
            -0.10580188,
            -0.105072334,
            -0.104342781,
            -0.103613235,
            -0.102883689,
            -0.102154143,
            -0.10142459,
            -0.100695044,
            -0.0999654979,
            -0.0992359444,
            -0.0985063985,
            -0.0977768451,
            -0.0970472991,
            -0.0963177532,
            -0.0955881998,
            -0.0948586464,
            -0.0941291004,
            -0.0933995545,
            -0.0926700011,
            -0.0919404477,
            -0.0912109017,
            -0.0904813558,
            -0.0897518024,
            -0.0890222564,
            -0.088292703,
            -0.0875631571,
            -0.0868336037,
            -0.0861040577,
            -0.0853745043,
            -0.0846449584,
            -0.083915405,
            -0.083185859,
            -0.0824563056,
            -0.0817267597,
            -0.0809972063,
            -0.0802676603,
            -0.0795381069,
            -0.078808561,
            -0.0780790076,
            -0.0773494616,
            -0.0766199082,
            -0.0756969601,
            -0.0747242272,
            -0.0737514943,
            -0.0727787614,
            -0.0718060285,
            -0.0708332956,
            -0.0698605627,
            -0.0688878298,
            -0.0679150969,
            -0.066942364,
            -0.0659696385,
            -0.0649969056,
            -0.0640241727,
            -0.0630514398,
            -0.0620787032,
            -0.0611059703,
            -0.0602959991,
            -0.0595664494,
            -0.0588368997,
            -0.05810735,
            -0.0573778003,
            -0.0566482507,
            -0.055918701,
            -0.0551891513,
            -0.0544596016,
            -0.053730052,
            -0.0530005023,
            -0.0522709526,
            -0.0515414029,
            -0.0508118533,
            -0.0500823036,
            -0.0493527539,
            -0.0486232042,
            -0.0478936546,
            -0.0471641049,
            -0.0464345552,
            -0.0457050055,
            -0.0449754596,
            -0.0442459062,
            -0.0435163602,
            -0.0427868105,
            -0.0420572609,
            -0.0413277112,
            -0.0405981615,
            -0.0398686118,
            -0.0391390622,
            -0.0384095125,
            -0.0376799628,
            -0.0366459563,
            -0.035186857,
            -0.0337277576,
            -0.0322686583,
            -0.0308095589,
            -0.0293504596,
            -0.0278913602,
            -0.0264322609,
            -0.0249731615,
            -0.0235140622,
            -0.0220549628,
            -0.0205958635,
            -0.0191367641,
            -0.0176776648,
            -0.0162185654,
            -0.0147594661,
            -0.0132295191,
            -0.0115272366,
            -0.00982495397,
            -0.0081226714,
            -0.00642038975,
            -0.00471810717,
            -0.00301582459,
            -0.00131354202,
            0.000388739631,
            0.00209102221,
            0.00379330479,
            0.00549558736,
            0.00719786994,
            0.00890015252,
            0.0106024351,
            0.0123047158,
            0.0138461534,
            0.0145757031,
            0.0153052527,
            0.0160348024,
            0.0167643521,
            0.0174939018,
            0.0182234515,
            0.0189530011,
            0.0196825489,
            0.0204120986,
            0.0211416483,
            0.021871198,
            0.0226007476,
            0.0233302973,
            0.024059847,
            0.0247893967,
            0.0255189463,
            0.026248496,
            0.0269780457,
            0.0277075954,
            0.0284371451,
            0.0291666947,
            0.0298962444,
            0.0306257941,
            0.0313553438,
            0.0320848934,
            0.0328144431,
            0.0335439928,
            0.0342735425,
            0.0350030921,
            0.0357326418,
            0.0364621915,
            0.0371917412,
            0.0379212908,
            0.0386508405,
            0.0393803902,
            0.0401099399,
            0.0408394895,
            0.0415690392,
            0.0422985889,
            0.0430281386,
            0.0437576845,
            0.0444872379,
            0.0452167839,
            0.0459463373,
            0.0466758832,
            0.0474054366,
            0.0481349826,
            0.0488645323,
            0.0495940819,
            0.0503236316,
            0.0510531813,
            0.051782731,
            0.0525122806,
            0.0532418303,
            0.05397138,
            0.0547009297,
            0.0554304793,
            0.056160029,
            0.0568895787,
            0.0576191284,
            0.0583486781,
            0.0590782277,
            0.0598077774,
            0.0605373271,
            0.0619102605,
            0.063612543,
            0.0653148219,
            0.0670171082,
            0.0687193871,
            0.0704216734,
            0.0721239522,
            0.0738262385,
            0.0755285174,
            0.0772307962,
            0.0789330825,
            0.0806353688,
            0.0823376477,
            0.0840399265,
            0.0857422128,
            0.0874444991,
            0.0886259452,
            0.0893554911,
            0.0900850445,
            0.0908145905,
            0.0915441439,
            0.0922736898,
            0.0930032432,
            0.0937327892,
            0.0944623426,
            0.0951918885,
            0.0959214419,
            0.0966509879,
            0.0973805413,
            0.0981100872,
            0.0988396406,
            0.0995691866,
            0.10029874,
            0.101028286,
            0.101757839,
            0.102487385,
            0.103216939,
            0.103946485,
            0.104676038,
            0.105405584,
            0.10613513,
            0.106864683,
            0.107594237,
            0.108323783,
            0.109053329,
            0.109782882,
            0.110512435,
            0.111241981,
            0.112247266,
            0.113949545,
            0.115651831,
            0.11735411,
            0.119056396,
            0.120758675,
            0.122460961,
            0.12416324,
            0.125865519,
            0.127567813,
            0.129270092,
            0.130972371,
            0.132674649,
            0.134376943,
            0.136079222,
            0.137781501,
            0.139445484,
            0.14090459,
            0.142363697,
            0.143822789,
            0.145281896,
            0.146741003,
            0.14820011,
            0.149659202,
            0.151118308,
            0.152577415,
            0.154036522,
            0.155495614,
            0.156954721,
            0.158413827,
            0.159872934,
            0.161332026,
            0.162768155,
            0.163497701,
            0.164227247,
            0.164956793,
            0.165686339,
            0.166415885,
            0.167145431,
            0.167874977,
            0.168604523,
            0.169334069,
            0.170063615,
            0.170793161,
            0.171522707,
            0.172252253,
            0.172981799,
            0.173711345,
            0.174440891,
            0.175170437,
            0.175899982,
            0.176629543,
            0.177359089,
            0.178088635,
            0.178818181,
            0.179547742,
            0.180277288,
            0.181006834,
            0.18173638,
            0.182465941,
            0.183195487,
            0.183925033,
            0.184654579,
            0.185384139,
            0.186113685,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185797736,
            0.18506819,
            0.184338644,
            0.183609083,
            0.182879537,
            0.182149991,
            0.181420445,
            0.180690885,
            0.179961339,
            0.179231793,
            0.178502247,
            0.177772686,
            0.17704314,
            0.176313594,
            0.175584048,
            0.174854487,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174308762,
            0.173579216,
            0.17284967,
            0.172120124,
            0.171390578,
            0.170661032,
            0.169931486,
            0.16920194,
            0.168472394,
            0.167742848,
            0.167013302,
            0.166283756,
            0.165554211,
            0.164824665,
            0.164095119,
            0.163365573,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162745178,
            0.162762418,
            0.163491964,
            0.164221495,
            0.164951056,
            0.165680587,
            0.166410148,
            0.167139679,
            0.16786924,
            0.168598771,
            0.169328317,
            0.170057863,
            0.170787424,
            0.171516955,
            0.172246501,
            0.172976047,
            0.173705593,
            0.174435139,
            0.1751647,
            0.175894246,
            0.176623791,
            0.177353337,
            0.178082898,
            0.178812444,
            0.17954199,
            0.180271536,
            0.181001097,
            0.181730643,
            0.182460189,
            0.183189735,
            0.183919296,
            0.184648842,
            0.185378388,
            0.186107934,
            0.187025145,
            0.187997878,
            0.18897061,
            0.189943358,
            0.190916091,
            0.191888824,
            0.192861557,
            0.193834305,
            0.194807038,
            0.195779771,
            0.196752504,
            0.197725251,
            0.198697984,
            0.199670717,
            0.20064345,
            0.201616198,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.202339992,
            0.203069538,
            0.203799084,
            0.20452863,
            0.205258176,
            0.205987722,
            0.206717268,
            0.207446814,
            0.20817636,
            0.208905905,
            0.209635451,
            0.210364997,
            0.211094543,
            0.211824089,
            0.212553635,
            0.213283181,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.214282721,
            0.215012267,
            0.215741828,
            0.216471374,
            0.21720092,
            0.217930466,
            0.218660027,
            0.219389573,
            0.220119119,
            0.220848665,
            0.221578211,
            0.222307771,
            0.223037317,
            0.223766863,
            0.224496424,
            0.22522597,
            0.225955516,
            0.226685062,
            0.227414608,
            0.228144169,
            0.228873715,
            0.229603261,
            0.230332807,
            0.231062368,
            0.231791914,
            0.232521459,
            0.233251005,
            0.233980566,
            0.234710112,
            0.235439658,
            0.236169204,
            0.236898765,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.23744449,
            0.238174036,
            0.238903582,
            0.239633128,
            0.240362689,
            0.241092235,
            0.241821781,
            0.242551327,
            0.243280888,
            0.244010434,
            0.24473998,
            0.245469525,
            0.246199086,
            0.246928632,
            0.247658178,
            0.248387724,
            0.249247491,
            0.25094977,
            0.252652079,
            0.254354358,
            0.256056637,
            0.257758945,
            0.259461224,
            0.261163503,
            0.262865812,
            0.26456809,
            0.266270399,
            0.267972678,
            0.269674957,
            0.271377265,
            0.273079544,
            0.274781823,
            0.276482224,
            0.277941316,
            0.279400408,
            0.2808595,
            0.282318592,
            0.283777684,
            0.285236776,
            0.286695868,
            0.28815496,
            0.289614081,
            0.291073173,
            0.292532265,
            0.293991357,
            0.295450449,
            0.296909541,
            0.298368633,
            0.299827725,
            0.301286846,
            0.302745938,
            0.30420503,
            0.305664122,
            0.307123244,
            0.308582336,
            0.310041428,
            0.31150052,
            0.312959641,
            0.314418733,
            0.315877825,
            0.317336917,
            0.318796039,
            0.320255131,
            0.321714222,
            0.323173314,
            0.324264765,
            0.325237513,
            0.326210231,
            0.327182978,
            0.328155696,
            0.329128444,
            0.330101162,
            0.33107391,
            0.332046628,
            0.333019376,
            0.333992094,
            0.334964842,
            0.33593756,
            0.336910307,
            0.337883025,
            0.338855773,
            0.340134859,
            0.341593981,
            0.343053073,
            0.344512165,
            0.345971256,
            0.347430378,
            0.34888947,
            0.350348562,
            0.351807654,
            0.353266776,
            0.354725868,
            0.356184959,
            0.357644051,
            0.359103173,
            0.360562265,
            0.362021357,
            0.363480449,
            0.36493957,
            0.366398662,
            0.367857754,
            0.369316846,
            0.370775968,
            0.37223506,
            0.373694152,
            0.375153244,
            0.376612365,
            0.378071457,
            0.379530549,
            0.380989641,
            0.382448763,
            0.383907855,
            0.385366946,
            0.386917949,
            0.388620228,
            0.390322506,
            0.392024785,
            0.393727064,
            0.395429343,
            0.397131622,
            0.398833901,
            0.40053618,
            0.402238458,
            0.403940737,
            0.405643016,
            0.407345295,
            0.409047574,
            0.410749853,
            0.412452132,
            0.413909316,
            0.414638877,
            0.415368438,
            0.416097969,
            0.41682753,
            0.417557091,
            0.418286651,
            0.419016182,
            0.419745743,
            0.420475304,
            0.421204865,
            0.421934396,
            0.422663957,
            0.423393518,
            0.424123079,
            0.42485261,
            0.42558217,
            0.426311731,
            0.427041262,
            0.427770823,
            0.428500384,
            0.429229915,
            0.429959476,
            0.430689007,
            0.431418568,
            0.432148129,
            0.43287766,
            0.433607221,
            0.434336782,
            0.435066313,
            0.435795873,
            0.436525404
          ],
          [
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460146725,
            0.459417194,
            0.458687633,
            0.457958102,
            0.457228541,
            0.456498981,
            0.455769449,
            0.455039889,
            0.454310328,
            0.453580797,
            0.452851236,
            0.452121705,
            0.451392144,
            0.450662583,
            0.449933052,
            0.449203491,
            0.44847393,
            0.447744399,
            0.447014838,
            0.446285307,
            0.445555747,
            0.444826186,
            0.444096655,
            0.443367094,
            0.442637563,
            0.441908002,
            0.441178441,
            0.44044891,
            0.439719349,
            0.438989788,
            0.438260257,
            0.437530696,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.436984986,
            0.436255425,
            0.435525864,
            0.434796333,
            0.434066772,
            0.433337212,
            0.432607681,
            0.43187812,
            0.431148589,
            0.430419028,
            0.429689467,
            0.428959936,
            0.428230375,
            0.427500844,
            0.426771283,
            0.426041722,
            0.425134093,
            0.423675001,
            0.422215909,
            0.420756817,
            0.419297695,
            0.417838603,
            0.416379511,
            0.414920419,
            0.413461298,
            0.412002206,
            0.410543114,
            0.409084022,
            0.4076249,
            0.406165808,
            0.404706717,
            0.403247625,
            0.401845962,
            0.400873214,
            0.399900496,
            0.398927748,
            0.39795503,
            0.396982282,
            0.396009564,
            0.395036817,
            0.394064099,
            0.393091351,
            0.392118633,
            0.391145885,
            0.390173167,
            0.389200449,
            0.388227701,
            0.387254953,
            0.386282235,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386749446,
            0.387722194,
            0.388694912,
            0.38966766,
            0.390640378,
            0.391613126,
            0.392585844,
            0.393558592,
            0.39453131,
            0.395504057,
            0.396476775,
            0.397449523,
            0.398422241,
            0.399394989,
            0.400367707,
            0.401340455,
            0.402225107,
            0.402954638,
            0.403684199,
            0.40441373,
            0.405143291,
            0.405872822,
            0.406602383,
            0.407331914,
            0.408061475,
            0.408791006,
            0.409520566,
            0.410250098,
            0.410979658,
            0.411709189,
            0.41243875,
            0.413168281,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413007438,
            0.412277907,
            0.411548346,
            0.410818815,
            0.410089254,
            0.409359723,
            0.408630162,
            0.407900631,
            0.407171071,
            0.40644154,
            0.405711979,
            0.404982448,
            0.404252887,
            0.403523356,
            0.402793795,
            0.402064264,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.401248544,
            0.400275797,
            0.399303079,
            0.398330331,
            0.397357613,
            0.396384865,
            0.395412147,
            0.394439399,
            0.393466681,
            0.392493933,
            0.391521215,
            0.390548468,
            0.38957575,
            0.388603002,
            0.387630284,
            0.386657536,
            0.385389924,
            0.383930832,
            0.38247174,
            0.381012619,
            0.379553527,
            0.378094435,
            0.376635343,
            0.375176221,
            0.373717129,
            0.372258037,
            0.370798945,
            0.369339824,
            0.367880732,
            0.36642164,
            0.364962548,
            0.363503426,
            0.362044334,
            0.360585243,
            0.359126151,
            0.357667029,
            0.356207937,
            0.354748845,
            0.353289753,
            0.351830631,
            0.35037154,
            0.348912448,
            0.347453356,
            0.345994234,
            0.344535142,
            0.34307605,
            0.341616958,
            0.340157866,
            0.338871092,
            0.337898344,
            0.336925626,
            0.335952878,
            0.33498016,
            0.334007412,
            0.333034694,
            0.332061946,
            0.331089228,
            0.330116481,
            0.329143763,
            0.328171015,
            0.327198297,
            0.326225549,
            0.325252831,
            0.324280083,
            0.323196292,
            0.3217372,
            0.320278108,
            0.318819016,
            0.317359895,
            0.315900803,
            0.314441711,
            0.312982619,
            0.311523497,
            0.310064405,
            0.308605313,
            0.307146221,
            0.3056871,
            0.304228008,
            0.302768916,
            0.301309824,
            0.299925387,
            0.299195856,
            0.298466295,
            0.297736734,
            0.297007203,
            0.296277642,
            0.295548081,
            0.29481855,
            0.294088989,
            0.293359458,
            0.292629898,
            0.291900337,
            0.291170806,
            0.290441245,
            0.289711714,
            0.288982153,
            0.288252592,
            0.286573291,
            0.284871012,
            0.283168733,
            0.281466454,
            0.279764175,
            0.278061897,
            0.276359588,
            0.274657309,
            0.27295503,
            0.271252751,
            0.269550472,
            0.267848194,
            0.266145915,
            0.264443636,
            0.262741327,
            0.261039048,
            0.259543568,
            0.258084476,
            0.256625384,
            0.255166262,
            0.25370717,
            0.252248049,
            0.250788957,
            0.24932985,
            0.247870758,
            0.246411651,
            0.244952545,
            0.243493438,
            0.242034346,
            0.240575239,
            0.239116132,
            0.23765704,
            0.235669449,
            0.233480796,
            0.231292158,
            0.229103506,
            0.226914868,
            0.224726215,
            0.222537577,
            0.220348924,
            0.218160287,
            0.215971634,
            0.213782996,
            0.211594343,
            0.209405705,
            0.207217053,
            0.205028415,
            0.202839762,
            0.200505599,
            0.19807376,
            0.195641935,
            0.193210095,
            0.19077827,
            0.188346431,
            0.185914606,
            0.183482766,
            0.181050941,
            0.178619102,
            0.176187277,
            0.173755437,
            0.171323612,
            0.168891773,
            0.166459948,
            0.164028108,
            0.162055835,
            0.160596728,
            0.159137636,
            0.15767853,
            0.156219423,
            0.154760331,
            0.153301224,
            0.151842117,
            0.150383011,
            0.148923919,
            0.147464812,
            0.146005705,
            0.144546598,
            0.143087506,
            0.141628399,
            0.140169293,
            0.138625935,
            0.136923656,
            0.135221377,
            0.133519098,
            0.131816804,
            0.130114526,
            0.128412247,
            0.126709968,
            0.125007689,
            0.123305395,
            0.121603116,
            0.119900838,
            0.118198551,
            0.116496272,
            0.114793986,
            0.113091707,
            0.111443035,
            0.109983936,
            0.108524837,
            0.107065737,
            0.105606638,
            0.104147539,
            0.102688447,
            0.10122934,
            0.0997702479,
            0.0983111411,
            0.0968520492,
            0.0953929424,
            0.0939338505,
            0.0924747512,
            0.0910156518,
            0.0895565525,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0888499767,
            0.0895795301,
            0.090309076,
            0.0910386294,
            0.0917681754,
            0.0924977288,
            0.0932272747,
            0.0939568281,
            0.0946863741,
            0.0954159275,
            0.0961454734,
            0.0968750268,
            0.0976045728,
            0.0983341262,
            0.0990636721,
            0.0997932255,
            0.0994772762,
            0.0987477228,
            0.0980181769,
            0.0972886235,
            0.0965590775,
            0.0958295316,
            0.0950999781,
            0.0943704247,
            0.0936408788,
            0.0929113328,
            0.0921817794,
            0.091452226,
            0.0907226801,
            0.0899931341,
            0.0892635807,
            0.0885340348,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0878963917,
            0.0871668458,
            0.0864372924,
            0.0857077464,
            0.084978193,
            0.0842486471,
            0.0835190937,
            0.0827895477,
            0.0820599943,
            0.0813304484,
            0.080600895,
            0.079871349,
            0.0791417956,
            0.0784122497,
            0.0776827037,
            0.0769531503,
            0.0758942515,
            0.0741919652,
            0.0724896863,
            0.0707874,
            0.0690851212,
            0.0673828423,
            0.065680556,
            0.0639782697,
            0.0622759908,
            0.0605737083,
            0.0588714257,
            0.0571691431,
            0.0554668605,
            0.0537645817,
            0.0520622954,
            0.0503600165,
            0.0488645323,
            0.0481349826,
            0.0474054329,
            0.0466758832,
            0.0459463336,
            0.0452167839,
            0.0444872379,
            0.0437576845,
            0.0430281386,
            0.0422985889,
            0.0415690392,
            0.0408394858,
            0.0401099399,
            0.0393803902,
            0.0386508405,
            0.0379212908,
            0.0371285491,
            0.0356694534,
            0.0342103541,
            0.0327512547,
            0.0312921554,
            0.029833056,
            0.0283739567,
            0.0269148573,
            0.025455758,
            0.0239966586,
            0.0225375593,
            0.0210784599,
            0.0196193606,
            0.0181602612,
            0.0167011619,
            0.0152420625,
            0.0137829632,
            0.0120902555,
            0.0103879739,
            0.00868569128,
            0.0069834087,
            0.00528112613,
            0.00357884355,
            0.0018765619,
            0.000174279325,
            -0.00152800325,
            -0.0032302849,
            -0.00493256748,
            -0.00663485005,
            -0.00833713263,
            -0.0100394152,
            -0.0117416978,
            -0.0134439804,
            -0.014334375,
            -0.0150639247,
            -0.0157934744,
            -0.0165230241,
            -0.0172525737,
            -0.0179821234,
            -0.0187116731,
            -0.0194412228,
            -0.0201707706,
            -0.0209003203,
            -0.0216298699,
            -0.0223594196,
            -0.0230889693,
            -0.023818519,
            -0.0245480686,
            -0.0252776183,
            -0.0265241712,
            -0.0279832706,
            -0.0294423699,
            -0.0309014693,
            -0.0323605686,
            -0.033819668,
            -0.0352787673,
            -0.0367378667,
            -0.0381969661,
            -0.0396560654,
            -0.0411151648,
            -0.0425742641,
            -0.0440333635,
            -0.0454924628,
            -0.0469515622,
            -0.0484106615,
            -0.049444668,
            -0.0501742177,
            -0.0509037673,
            -0.051633317,
            -0.0523628667,
            -0.0530924164,
            -0.0538219661,
            -0.0545515157,
            -0.0552810654,
            -0.0560106114,
            -0.0567401648,
            -0.0574697107,
            -0.0581992641,
            -0.0589288101,
            -0.0596583635,
            -0.0603879094,
            -0.0612285212,
            -0.0622012541,
            -0.063173987,
            -0.0641467199,
            -0.0651194528,
            -0.0660921857,
            -0.0670649186,
            -0.0680376515,
            -0.0690103844,
            -0.0699831173,
            -0.0709558502,
            -0.0719285831,
            -0.072901316,
            -0.0738740489,
            -0.0748467818,
            -0.0758195147,
            -0.0767118186,
            -0.077441372,
            -0.0781709179,
            -0.0789004713,
            -0.0796300173,
            -0.0803595707,
            -0.0810891166,
            -0.08181867,
            -0.082548216,
            -0.0832777694,
            -0.0840073153,
            -0.0847368687,
            -0.0854664147,
            -0.0861959681,
            -0.086925514,
            -0.0876550674,
            -0.0883846134,
            -0.0891141668,
            -0.0898437127,
            -0.0905732661,
            -0.0913028121,
            -0.0920323655,
            -0.0927619115,
            -0.0934914649,
            -0.0942210108,
            -0.0949505642,
            -0.0956801102,
            -0.0964096636,
            -0.0971392095,
            -0.0978687629,
            -0.0985983089,
            -0.0993278623,
            -0.100057408,
            -0.100786954,
            -0.101516508,
            -0.102246054,
            -0.102975599,
            -0.103705145,
            -0.104434699,
            -0.105164245,
            -0.105893791,
            -0.106623337,
            -0.107352883,
            -0.108082436,
            -0.108811982,
            -0.109541528,
            -0.110271081,
            -0.111000627,
            -0.111730173,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.112367809,
            -0.113097362,
            -0.113826916,
            -0.114556469,
            -0.115286015,
            -0.116015568,
            -0.116745122,
            -0.117474675,
            -0.118204221,
            -0.118933775,
            -0.119663328,
            -0.120392874,
            -0.121122427,
            -0.121851981,
            -0.122581534,
            -0.123311087,
            -0.123018116,
            -0.122288562,
            -0.121559009,
            -0.120829463,
            -0.12009991,
            -0.119370356,
            -0.118640803,
            -0.117911257,
            -0.117181703,
            -0.11645215,
            -0.115722597,
            -0.114993051,
            -0.114263497,
            -0.113533944,
            -0.112804398,
            -0.112074845,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.112092078,
            -0.112821631,
            -0.113551177,
            -0.11428073,
            -0.115010284,
            -0.11573983,
            -0.116469383,
            -0.117198937,
            -0.11792849,
            -0.118658036,
            -0.119387589,
            -0.120117143,
            -0.120846696,
            -0.121576242,
            -0.122305796,
            -0.123035349,
            -0.123843409,
            -0.124816142,
            -0.125788882,
            -0.126761615,
            -0.127734348,
            -0.128707081,
            -0.129679814,
            -0.130652547,
            -0.13162528,
            -0.132598013,
            -0.13357076,
            -0.134543493,
            -0.135516226,
            -0.136488959,
            -0.137461692,
            -0.138434425,
            -0.139359295,
            -0.140088841,
            -0.140818387,
            -0.141547933,
            -0.142277494,
            -0.14300704,
            -0.143736586,
            -0.144466132,
            -0.145195693,
            -0.145925239,
            -0.146654785,
            -0.147384331,
            -0.148113891,
            -0.148843437,
            -0.149572983,
            -0.150302529,
            -0.151083782,
            -0.152542889,
            -0.154001981,
            -0.155461088,
            -0.15692018,
            -0.158379287,
            -0.159838378,
            -0.16129747,
            -0.162756577,
            -0.164215684,
            -0.165674776,
            -0.167133868,
            -0.168592975,
            -0.170052081,
            -0.171511173,
            -0.172970265,
            -0.174429372,
            -0.175888464,
            -0.177347571,
            -0.178806663,
            -0.180265769,
            -0.181724861,
            -0.183183968,
            -0.18464306,
            -0.186102167,
            -0.187561259,
            -0.189020365,
            -0.190479457,
            -0.191938564,
            -0.193397656,
            -0.194856763,
            -0.196315855,
            -0.197774962,
            -0.198835775,
            -0.199808508,
            -0.200781241,
            -0.201753974,
            -0.202726707,
            -0.20369944,
            -0.204672173,
            -0.205644906,
            -0.206617638,
            -0.207590371,
            -0.208563104,
            -0.209535837,
            -0.21050857,
            -0.211481303,
            -0.212454036,
            -0.213426769,
            -0.214736506,
            -0.216195613,
            -0.217654705,
            -0.219113797,
            -0.220572904,
            -0.222032011,
            -0.223491102,
            -0.224950194,
            -0.226409301,
            -0.227868393,
            -0.2293275,
            -0.230786592,
            -0.232245699,
            -0.23370479,
            -0.235163897,
            -0.236622989,
            -0.237668484,
            -0.238398045,
            -0.239127591,
            -0.239857137,
            -0.240586683,
            -0.241316244,
            -0.24204579,
            -0.242775336,
            -0.243504882,
            -0.244234443,
            -0.244963989,
            -0.245693535,
            -0.246423081,
            -0.247152641,
            -0.247882187,
            -0.248611733,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249249369,
            -0.24997893,
            -0.250708491,
            -0.251438022,
            -0.252167583,
            -0.252897143,
            -0.253626674,
            -0.254356235,
            -0.255085796,
            -0.255815327,
            -0.256544888,
            -0.257274449,
            -0.25800398,
            -0.258733541,
            -0.259463102,
            -0.260192633,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260284543,
            -0.259555012,
            -0.258825451,
            -0.25809589,
            -0.257366359,
            -0.256636798,
            -0.255907238,
            -0.255177706,
            -0.254448146,
            -0.253718585,
            -0.252989054,
            -0.252259493,
            -0.251529932,
            -0.250800401,
            -0.25007084,
            -0.249341279,
            -0.248203874,
            -0.246744782,
            -0.245285675,
            -0.243826583,
            -0.242367476,
            -0.240908384,
            -0.239449278,
            -0.237990186,
            -0.236531079,
            -0.235071987,
            -0.23361288,
            -0.232153788,
            -0.230694681,
            -0.22923559,
            -0.227776483,
            -0.226317391,
            -0.224752977,
            -0.223050699,
            -0.221348405,
            -0.219646126,
            -0.217943847,
            -0.216241568,
            -0.214539275,
            -0.212836996,
            -0.211134717,
            -0.209432438,
            -0.207730144,
            -0.206027865,
            -0.204325587,
            -0.202623308,
            -0.200921029,
            -0.199218735,
            -0.197591141,
            -0.196132034,
            -0.194672942,
            -0.193213835,
            -0.191754743,
            -0.190295637,
            -0.188836545,
            -0.187377438,
            -0.185918346,
            -0.184459239,
            -0.183000147,
            -0.181541041,
            -0.180081949,
            -0.178622842,
            -0.17716375,
            -0.175704643,
            -0.174377665,
            -0.173648119,
            -0.172918573,
            -0.172189027,
            -0.171459466,
            -0.17072992,
            -0.170000374,
            -0.169270828,
            -0.168541268,
            -0.167811722,
            -0.167082176,
            -0.16635263,
            -0.165623069,
            -0.164893523,
            -0.164163977,
            -0.163434431,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.163422942,
            -0.164152488,
            -0.164882034,
            -0.16561158,
            -0.166341141,
            -0.167070687,
            -0.167800233,
            -0.168529779,
            -0.16925934,
            -0.169988886,
            -0.170718431,
            -0.171447977,
            -0.172177538,
            -0.172907084,
            -0.17363663,
            -0.174366176,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174107686,
            -0.173378125,
            -0.172648579,
            -0.171919033,
            -0.171189487,
            -0.170459926,
            -0.16973038,
            -0.169000834,
            -0.168271288,
            -0.167541727,
            -0.166812181,
            -0.166082636,
            -0.16535309,
            -0.164623529,
            -0.163893983,
            -0.163164437,
            -0.162124678,
            -0.160665587,
            -0.15920648,
            -0.157747388,
            -0.156288281,
            -0.154829189,
            -0.153370082,
            -0.15191099,
            -0.150451884,
            -0.148992792,
            -0.147533685,
            -0.146074593,
            -0.144615501,
            -0.143156394,
            -0.141697288,
            -0.140238196,
            -0.138924628,
            -0.137951896,
            -0.136979148,
            -0.136006415,
            -0.135033682,
            -0.134060949,
            -0.133088216,
            -0.132115483,
            -0.13114275,
            -0.130170017,
            -0.12919727,
            -0.128224537,
            -0.127251804,
            -0.126279071,
            -0.125306338,
            -0.124333605,
            -0.123402998,
            -0.122673444,
            -0.121943891,
            -0.121214345,
            -0.120484792,
            -0.119755238,
            -0.119025685,
            -0.118296139,
            -0.117566586,
            -0.116837032,
            -0.116107479,
            -0.115377933,
            -0.114648379,
            -0.113918826,
            -0.113189273,
            -0.112459727,
            -0.111730173,
            -0.111000627,
            -0.110271074,
            -0.109541528,
            -0.108811982,
            -0.108082436,
            -0.107352883,
            -0.106623337,
            -0.105893791,
            -0.105164245,
            -0.104434699,
            -0.103705145,
            -0.102975599,
            -0.102246054,
            -0.101516508,
            -0.100786954,
            -0.100057408,
            -0.0993278623,
            -0.0985983089,
            -0.0978687629,
            -0.0971392095,
            -0.0964096636,
            -0.0956801102,
            -0.0949505642,
            -0.0942210108,
            -0.0934914649,
            -0.0927619115,
            -0.0920323655,
            -0.0913028121,
            -0.0905732661,
            -0.0898437127,
            -0.0891141668,
            -0.0883846134,
            -0.0876550674,
            -0.086925514,
            -0.0861959681,
            -0.0854664147,
            -0.0847368687,
            -0.0840073153,
            -0.0832777694,
            -0.082548216,
            -0.08181867,
            -0.0810891166,
            -0.0803595707,
            -0.0796300173,
            -0.0789004713,
            -0.0781709254,
            -0.077441372,
            -0.0767118186,
            -0.0753312334,
            -0.0736289471,
            -0.0719266683,
            -0.070224382,
            -0.0685221031,
            -0.0668198168,
            -0.065117538,
            -0.0634152517,
            -0.0617129728,
            -0.0600106902,
            -0.0583084077,
            -0.0566061251,
            -0.0549038425,
            -0.0532015599,
            -0.0514992774,
            -0.0497969948,
            -0.0486232042,
            -0.0478936546,
            -0.0471641049,
            -0.0464345552,
            -0.0457050055,
            -0.0449754596,
            -0.0442459062,
            -0.0435163602,
            -0.0427868105,
            -0.0420572609,
            -0.0413277112,
            -0.0405981615,
            -0.0398686118,
            -0.0391390622,
            -0.0384095125,
            -0.0376799628,
            -0.0366459563,
            -0.035186857,
            -0.0337277576,
            -0.0322686583,
            -0.0308095589,
            -0.0293504596,
            -0.0278913602,
            -0.0264322609,
            -0.0249731615,
            -0.0235140622,
            -0.0220549628,
            -0.0205958635,
            -0.0191367641,
            -0.0176776648,
            -0.0162185654,
            -0.0147594661,
            -0.0134420646,
            -0.0124693327,
            -0.0114965998,
            -0.0105238669,
            -0.00955113396,
            -0.00857840106,
            -0.00760566816,
            -0.00663293526,
            -0.00566020235,
            -0.00468746945,
            -0.00371473748,
            -0.00274200458,
            -0.00176927168,
            -0.000796538778,
            0.000176194124,
            0.00114892703,
            0.00208144821,
            0.00281099789,
            0.00354054733,
            0.00427009724,
            0.00499964645,
            0.00572919613,
            0.0064587458,
            0.00718829548,
            0.00791784469,
            0.00864739437,
            0.00937694404,
            0.0101064937,
            0.0108360434,
            0.0115655931,
            0.0122951427,
            0.0130246924,
            0.0137542412,
            0.0144837908,
            0.0152133405,
            0.0159428902,
            0.0166724399,
            0.0174019895,
            0.0181315392,
            0.0188610889,
            0.0195906386,
            0.0203201883,
            0.0210497379,
            0.0217792876,
            0.0225088373,
            0.023238387,
            0.0239679366,
            0.0246974863,
            0.025427036,
            0.0268229451,
            0.0282820445,
            0.0297411438,
            0.0312002413,
            0.0326593406,
            0.03411844,
            0.0355775394,
            0.0370366387,
            0.0384957381,
            0.0399548374,
            0.0414139368,
            0.0428730361,
            0.0443321355,
            0.0457912348,
            0.0472503342,
            0.0487094298,
            0.0495940819,
            0.0503236316,
            0.0510531813,
            0.051782731,
            0.0525122806,
            0.0532418303,
            0.05397138,
            0.0547009297,
            0.0554304793,
            0.056160029,
            0.0568895787,
            0.0576191284,
            0.0583486781,
            0.0590782277,
            0.0598077774,
            0.0605373271,
            0.0619102605,
            0.063612543,
            0.0653148219,
            0.0670171082,
            0.0687193871,
            0.0704216734,
            0.0721239522,
            0.0738262385,
            0.0755285174,
            0.0772307962,
            0.0789330825,
            0.0806353688,
            0.0823376477,
            0.0840399265,
            0.0857422128,
            0.0874444991,
            0.0886259452,
            0.0893554911,
            0.0900850445,
            0.0908145905,
            0.0915441439,
            0.0922736898,
            0.0930032432,
            0.0937327892,
            0.0944623426,
            0.0951918885,
            0.0959214419,
            0.0966509879,
            0.0973805413,
            0.0981100872,
            0.0988396406,
            0.0995691866,
            0.10029874,
            0.101028286,
            0.101757839,
            0.102487385,
            0.103216939,
            0.103946485,
            0.104676038,
            0.105405584,
            0.10613513,
            0.106864683,
            0.107594237,
            0.108323783,
            0.109053329,
            0.109782882,
            0.110512435,
            0.111241981,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.112032808,
            0.113735087,
            0.115437374,
            0.117139652,
            0.118841931,
            0.120544218,
            0.122246496,
            0.123948783,
            0.125651062,
            0.12735334,
            0.129055634,
            0.130757913,
            0.132460192,
            0.134162471,
            0.135864764,
            0.137567043,
            0.139238685,
            0.139968231,
            0.140697792,
            0.141427338,
            0.142156884,
            0.14288643,
            0.143615991,
            0.144345537,
            0.145075083,
            0.145804629,
            0.146534175,
            0.147263736,
            0.147993281,
            0.148722827,
            0.149452373,
            0.150181934,
            0.15091148,
            0.152301639,
            0.153760746,
            0.155219838,
            0.156678945,
            0.158138037,
            0.159597144,
            0.161056235,
            0.162515342,
            0.163974434,
            0.165433541,
            0.166892633,
            0.16835174,
            0.169810832,
            0.171269938,
            0.17272903,
            0.174188137,
            0.175078526,
            0.175808072,
            0.176537633,
            0.177267179,
            0.177996725,
            0.178726271,
            0.179455832,
            0.180185378,
            0.180914924,
            0.181644469,
            0.18237403,
            0.183103576,
            0.183833122,
            0.184562668,
            0.185292214,
            0.186021775,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185981557,
            0.185252011,
            0.184522465,
            0.183792904,
            0.183063358,
            0.182333812,
            0.181604266,
            0.180874705,
            0.180145159,
            0.179415613,
            0.178686067,
            0.177956522,
            0.177226961,
            0.176497415,
            0.175767869,
            0.175038323,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174509823,
            0.174527064,
            0.17525661,
            0.175986156,
            0.176715702,
            0.177445263,
            0.178174809,
            0.178904355,
            0.179633901,
            0.180363446,
            0.181093007,
            0.181822553,
            0.182552099,
            0.183281645,
            0.184011206,
            0.184740752,
            0.185470298,
            0.186199844,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.187588096,
            0.189290389,
            0.190992668,
            0.192694947,
            0.194397226,
            0.19609952,
            0.197801799,
            0.199504077,
            0.201206356,
            0.202908635,
            0.204610929,
            0.206313208,
            0.208015487,
            0.209717765,
            0.211420059,
            0.213122338,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.214104638,
            0.214834198,
            0.215563744,
            0.21629329,
            0.217022836,
            0.217752397,
            0.218481943,
            0.219211489,
            0.219941035,
            0.220670596,
            0.221400142,
            0.222129688,
            0.222859234,
            0.223588794,
            0.22431834,
            0.225047886,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225685522,
            0.226415068,
            0.227144629,
            0.227874175,
            0.228603721,
            0.229333267,
            0.230062827,
            0.230792373,
            0.231521919,
            0.232251465,
            0.232981026,
            0.233710572,
            0.234440118,
            0.235169664,
            0.235899225,
            0.236628771,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237720221,
            0.238449767,
            0.239179313,
            0.239908874,
            0.24063842,
            0.241367966,
            0.242097512,
            0.242827073,
            0.243556619,
            0.244286165,
            0.245015711,
            0.245745271,
            0.246474817,
            0.247204363,
            0.247933909,
            0.24866347,
            0.24864623,
            0.247916684,
            0.247187138,
            0.246457577,
            0.245728031,
            0.244998485,
            0.244268939,
            0.243539378,
            0.242809832,
            0.242080286,
            0.24135074,
            0.240621179,
            0.239891633,
            0.239162087,
            0.238432541,
            0.237702981,
            0.237536401,
            0.238265947,
            0.238995492,
            0.239725053,
            0.240454599,
            0.241184145,
            0.241913691,
            0.242643237,
            0.243372798,
            0.244102344,
            0.24483189,
            0.245561451,
            0.246290997,
            0.247020543,
            0.247750089,
            0.248479635,
            0.249209195,
            0.249938741,
            0.250668287,
            0.251397848,
            0.252127409,
            0.25285697,
            0.253586501,
            0.254316062,
            0.255045623,
            0.255775183,
            0.256504714,
            0.257234275,
            0.257963836,
            0.258693397,
            0.259422928,
            0.260152489,
            0.261012256,
            0.262714535,
            0.264416814,
            0.266119093,
            0.267821372,
            0.26952365,
            0.271225959,
            0.272928238,
            0.274630517,
            0.276332796,
            0.278035074,
            0.279737353,
            0.281439632,
            0.283141911,
            0.28484422,
            0.286546499,
            0.288241118,
            0.288970649,
            0.28970021,
            0.290429771,
            0.291159302,
            0.291888863,
            0.292618394,
            0.293347955,
            0.294077516,
            0.294807047,
            0.295536608,
            0.296266168,
            0.296995699,
            0.29772526,
            0.298454791,
            0.299184352,
            0.299913913,
            0.301286846,
            0.302745938,
            0.30420503,
            0.305664122,
            0.307123244,
            0.308582336,
            0.310041428,
            0.31150052,
            0.312959641,
            0.314418733,
            0.315877825,
            0.317336917,
            0.318796039,
            0.320255131,
            0.321714222,
            0.323173314,
            0.325367719,
            0.327799559,
            0.330231369,
            0.332663208,
            0.335095048,
            0.337526888,
            0.339958698,
            0.342390537,
            0.344822377,
            0.347254217,
            0.349686027,
            0.352117866,
            0.354549706,
            0.356981516,
            0.359413356,
            0.361845195,
            0.364277035,
            0.366708875,
            0.369140685,
            0.371572524,
            0.374004364,
            0.376436174,
            0.378868014,
            0.381299853,
            0.383731693,
            0.386163503,
            0.388595343,
            0.391027182,
            0.393459022,
            0.395890832,
            0.398322672,
            0.400754511,
            0.402696133,
            0.404155254,
            0.405614346,
            0.407073438,
            0.40853253,
            0.409991652,
            0.411450744,
            0.412909836,
            0.414368927,
            0.415828049,
            0.417287141,
            0.418746233,
            0.420205325,
            0.421664447,
            0.423123538,
            0.42458263,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.425857902,
            0.427316993,
            0.428776115,
            0.430235207,
            0.431694299,
            0.433153391,
            0.434612513,
            0.436071604,
            0.437530696,
            0.438989788,
            0.44044891,
            0.441908002,
            0.443367094,
            0.444826186,
            0.446285307,
            0.447744399,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967
          ],
          [
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.475620508,
            0.47464779,
            0.473675042,
            0.472702324,
            0.471729577,
            0.470756829,
            0.469784111,
            0.468811363,
            0.467838645,
            0.466865897,
            0.465893149,
            0.464920431,
            0.463947684,
            0.462974936,
            0.462002218,
            0.46102947,
            0.459692925,
            0.458233833,
            0.456774712,
            0.45531562,
            0.453856528,
            0.452397436,
            0.450938314,
            0.449479222,
            0.44802013,
            0.446561038,
            0.445101917,
            0.443642825,
            0.442183733,
            0.440724641,
            0.439265549,
            0.437806427,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.436984986,
            0.436255425,
            0.435525864,
            0.434796333,
            0.434066772,
            0.433337212,
            0.432607681,
            0.43187812,
            0.431148589,
            0.430419028,
            0.429689467,
            0.428959936,
            0.428230375,
            0.427500844,
            0.426771283,
            0.426041722,
            0.425312191,
            0.42458263,
            0.42385307,
            0.423123509,
            0.422393978,
            0.421664417,
            0.420934856,
            0.420205295,
            0.419475764,
            0.418746203,
            0.418016642,
            0.417287081,
            0.41655755,
            0.41582799,
            0.415098429,
            0.414368868,
            0.413639337,
            0.412909776,
            0.412180245,
            0.411450684,
            0.410721153,
            0.409991592,
            0.409262061,
            0.4085325,
            0.407802969,
            0.407073408,
            0.406343877,
            0.405614316,
            0.404884785,
            0.404155225,
            0.403425694,
            0.402696133,
            0.401966602,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.401118338,
            0.40014559,
            0.399172872,
            0.398200125,
            0.397227407,
            0.396254659,
            0.395281941,
            0.394309193,
            0.393336475,
            0.392363727,
            0.391391009,
            0.390418261,
            0.389445543,
            0.388472795,
            0.387500077,
            0.38652733,
            0.385734588,
            0.385005057,
            0.384275496,
            0.383545935,
            0.382816404,
            0.382086843,
            0.381357312,
            0.380627751,
            0.37989819,
            0.379168659,
            0.378439099,
            0.377709538,
            0.376980007,
            0.376250446,
            0.375520885,
            0.374791354,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374866039,
            0.37559557,
            0.37632513,
            0.377054691,
            0.377784222,
            0.378513783,
            0.379243314,
            0.379972875,
            0.380702436,
            0.381431967,
            0.382161528,
            0.382891089,
            0.38362062,
            0.384350181,
            0.385079712,
            0.385809273,
            0.386626899,
            0.387599647,
            0.388572365,
            0.389545113,
            0.390517831,
            0.391490579,
            0.392463297,
            0.393436044,
            0.394408762,
            0.39538151,
            0.396354228,
            0.397326976,
            0.398299694,
            0.399272442,
            0.40024516,
            0.401217908,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40100345,
            0.400030702,
            0.399057984,
            0.398085237,
            0.397112519,
            0.396139771,
            0.395167053,
            0.394194305,
            0.393221587,
            0.392248839,
            0.391276121,
            0.390303373,
            0.389330655,
            0.388357908,
            0.38738519,
            0.386412442,
            0.385648429,
            0.384918869,
            0.384189337,
            0.383459777,
            0.382730216,
            0.382000685,
            0.381271124,
            0.380541593,
            0.379812032,
            0.379082471,
            0.37835294,
            0.377623379,
            0.376893818,
            0.376164287,
            0.375434726,
            0.374705195,
            0.373975635,
            0.373246074,
            0.372516543,
            0.371786982,
            0.371057421,
            0.37032789,
            0.369598329,
            0.368868798,
            0.368139237,
            0.367409676,
            0.366680145,
            0.365950584,
            0.365221024,
            0.364491493,
            0.363761932,
            0.363032401,
            0.36230284,
            0.361573279,
            0.360843748,
            0.360114187,
            0.359384656,
            0.358655095,
            0.357925534,
            0.357196003,
            0.356466442,
            0.355736881,
            0.35500735,
            0.35427779,
            0.353548259,
            0.352818698,
            0.352089137,
            0.351359606,
            0.350630045,
            0.349900484,
            0.349170953,
            0.348441392,
            0.347711861,
            0.3469823,
            0.346252739,
            0.345523208,
            0.344793648,
            0.344064087,
            0.343334556,
            0.342604995,
            0.341875464,
            0.341145903,
            0.340416342,
            0.339686811,
            0.338871092,
            0.337898344,
            0.336925626,
            0.335952878,
            0.33498016,
            0.334007412,
            0.333034694,
            0.332061946,
            0.331089228,
            0.330116481,
            0.329143763,
            0.328171015,
            0.327198297,
            0.326225549,
            0.325252831,
            0.324280083,
            0.323362887,
            0.322633356,
            0.321903795,
            0.321174234,
            0.320444703,
            0.319715142,
            0.318985581,
            0.31825605,
            0.317526489,
            0.316796958,
            0.316067398,
            0.315337837,
            0.314608306,
            0.313878745,
            0.313149184,
            0.312419653,
            0.311615407,
            0.310156316,
            0.308697224,
            0.307238132,
            0.30577901,
            0.304319918,
            0.302860826,
            0.301401734,
            0.299942613,
            0.298483521,
            0.297024429,
            0.295565337,
            0.294106245,
            0.292647123,
            0.291188031,
            0.28972894,
            0.288269818,
            0.286573291,
            0.284871012,
            0.283168733,
            0.281466454,
            0.279764175,
            0.278061897,
            0.276359588,
            0.274657309,
            0.27295503,
            0.271252751,
            0.269550472,
            0.267848194,
            0.266145915,
            0.264443636,
            0.262741327,
            0.261039048,
            0.259543568,
            0.258084476,
            0.256625384,
            0.255166262,
            0.25370717,
            0.252248049,
            0.250788957,
            0.24932985,
            0.247870758,
            0.246411651,
            0.244952545,
            0.243493438,
            0.242034346,
            0.240575239,
            0.239116132,
            0.23765704,
            0.235669449,
            0.233480796,
            0.231292158,
            0.229103506,
            0.226914868,
            0.224726215,
            0.222537577,
            0.220348924,
            0.218160287,
            0.215971634,
            0.213782996,
            0.211594343,
            0.209405705,
            0.207217053,
            0.205028415,
            0.202839762,
            0.200505599,
            0.19807376,
            0.195641935,
            0.193210095,
            0.19077827,
            0.188346431,
            0.185914606,
            0.183482766,
            0.181050941,
            0.178619102,
            0.176187277,
            0.173755437,
            0.171323612,
            0.168891773,
            0.166459948,
            0.164028108,
            0.162055835,
            0.160596728,
            0.159137636,
            0.15767853,
            0.156219423,
            0.154760331,
            0.153301224,
            0.151842117,
            0.150383011,
            0.148923919,
            0.147464812,
            0.146005705,
            0.144546598,
            0.143087506,
            0.141628399,
            0.140169293,
            0.138625935,
            0.136923656,
            0.135221377,
            0.133519098,
            0.131816804,
            0.130114526,
            0.128412247,
            0.126709968,
            0.125007689,
            0.123305395,
            0.121603116,
            0.119900838,
            0.118198551,
            0.116496272,
            0.114793986,
            0.113091707,
            0.111443035,
            0.109983936,
            0.108524837,
            0.107065737,
            0.105606638,
            0.104147539,
            0.102688447,
            0.10122934,
            0.0997702479,
            0.0983111411,
            0.0968520492,
            0.0953929424,
            0.0939338505,
            0.0924747512,
            0.0910156518,
            0.0895565525,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.087712571,
            0.0869830176,
            0.0862534717,
            0.0855239183,
            0.0847943723,
            0.0840648264,
            0.083335273,
            0.0826057196,
            0.0818761736,
            0.0811466277,
            0.0804170743,
            0.0796875209,
            0.0789579749,
            0.078228429,
            0.0774988756,
            0.0767693296,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0760187134,
            0.0750459805,
            0.0740732476,
            0.0731005147,
            0.0721277818,
            0.0711550489,
            0.070182316,
            0.0692095831,
            0.0682368502,
            0.0672641173,
            0.0662913844,
            0.0653186515,
            0.0643459186,
            0.0633731857,
            0.0624004528,
            0.0614277199,
            0.0605373271,
            0.0598077774,
            0.0590782277,
            0.0583486781,
            0.0576191284,
            0.0568895787,
            0.056160029,
            0.0554304793,
            0.0547009297,
            0.05397138,
            0.0532418303,
            0.0525122806,
            0.051782731,
            0.0510531813,
            0.0503236316,
            0.0495940819,
            0.0488645323,
            0.0481349826,
            0.0474054329,
            0.0466758832,
            0.0459463336,
            0.0452167839,
            0.0444872379,
            0.0437576845,
            0.0430281386,
            0.0422985889,
            0.0415690392,
            0.0408394858,
            0.0401099399,
            0.0393803902,
            0.0386508405,
            0.0379212908,
            0.0371917412,
            0.0364621915,
            0.0357326418,
            0.0350030921,
            0.0342735425,
            0.0335439928,
            0.0328144431,
            0.0320848934,
            0.0313553438,
            0.0306257941,
            0.0298962444,
            0.0291666947,
            0.0284371451,
            0.0277075954,
            0.0269780457,
            0.026248496,
            0.0255189463,
            0.0240885708,
            0.0226294715,
            0.0211703721,
            0.0197112728,
            0.0182521734,
            0.0167930741,
            0.0153339747,
            0.0138748754,
            0.012415777,
            0.0109566776,
            0.00949757919,
            0.00803847983,
            0.00657938048,
            0.00512028113,
            0.00366118178,
            0.00220208243,
            0.00054001133,
            -0.00116227102,
            -0.00286455359,
            -0.00456683571,
            -0.00626911782,
            -0.0079714004,
            -0.00967368297,
            -0.0113759656,
            -0.0130782472,
            -0.0147805307,
            -0.0164828114,
            -0.018185094,
            -0.0198873766,
            -0.0215896592,
            -0.0232919417,
            -0.0249942243,
            -0.0265241712,
            -0.0279832706,
            -0.0294423699,
            -0.0309014693,
            -0.0323605686,
            -0.033819668,
            -0.0352787673,
            -0.0367378667,
            -0.0381969661,
            -0.0396560654,
            -0.0411151648,
            -0.0425742641,
            -0.0440333635,
            -0.0454924628,
            -0.0469515622,
            -0.0484106615,
            -0.049444668,
            -0.0501742177,
            -0.0509037673,
            -0.051633317,
            -0.0523628667,
            -0.0530924164,
            -0.0538219661,
            -0.0545515157,
            -0.0552810654,
            -0.0560106114,
            -0.0567401648,
            -0.0574697107,
            -0.0581992641,
            -0.0589288101,
            -0.0596583635,
            -0.0603879094,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0613472387,
            -0.063049525,
            -0.0647518039,
            -0.0664540902,
            -0.068156369,
            -0.0698586553,
            -0.0715609342,
            -0.073263213,
            -0.0749654993,
            -0.0766677856,
            -0.0783700645,
            -0.0800723433,
            -0.0817746297,
            -0.0834769085,
            -0.0851791948,
            -0.0868814737,
            -0.0883846134,
            -0.0891141668,
            -0.0898437127,
            -0.0905732661,
            -0.0913028121,
            -0.0920323655,
            -0.0927619115,
            -0.0934914649,
            -0.0942210108,
            -0.0949505642,
            -0.0956801102,
            -0.0964096636,
            -0.0971392095,
            -0.0978687629,
            -0.0985983089,
            -0.0993278623,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100603133,
            -0.101332679,
            -0.102062225,
            -0.102791779,
            -0.103521325,
            -0.104250871,
            -0.104980417,
            -0.10570997,
            -0.106439516,
            -0.107169062,
            -0.107898608,
            -0.108628161,
            -0.109357707,
            -0.110087253,
            -0.110816799,
            -0.111546353,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.112000167,
            -0.112729713,
            -0.113459267,
            -0.11418882,
            -0.114918366,
            -0.115647919,
            -0.116377473,
            -0.117107026,
            -0.117836572,
            -0.118566126,
            -0.119295679,
            -0.120025232,
            -0.120754778,
            -0.121484332,
            -0.122213885,
            -0.122943439,
            -0.123720855,
            -0.124693595,
            -0.12566632,
            -0.126639068,
            -0.127611801,
            -0.128584534,
            -0.129557267,
            -0.13053,
            -0.131502733,
            -0.132475466,
            -0.133448198,
            -0.134420931,
            -0.135393679,
            -0.136366412,
            -0.137339145,
            -0.138311878,
            -0.139267385,
            -0.139996931,
            -0.140726477,
            -0.141456023,
            -0.142185584,
            -0.14291513,
            -0.143644676,
            -0.144374222,
            -0.145103782,
            -0.145833328,
            -0.146562874,
            -0.14729242,
            -0.148021966,
            -0.148751527,
            -0.149481073,
            -0.150210619,
            -0.150940165,
            -0.152359053,
            -0.15381816,
            -0.155277252,
            -0.156736359,
            -0.158195451,
            -0.159654558,
            -0.16111365,
            -0.162572756,
            -0.164031848,
            -0.165490955,
            -0.166950047,
            -0.168409154,
            -0.169868246,
            -0.171327353,
            -0.172786444,
            -0.174245551,
            -0.175704643,
            -0.17716375,
            -0.178622842,
            -0.180081949,
            -0.181541041,
            -0.183000147,
            -0.184459239,
            -0.185918346,
            -0.187377438,
            -0.188836545,
            -0.190295637,
            -0.191754743,
            -0.193213835,
            -0.194672942,
            -0.196132034,
            -0.197591126,
            -0.199218735,
            -0.200921014,
            -0.202623308,
            -0.204325587,
            -0.206027865,
            -0.207730144,
            -0.209432438,
            -0.211134717,
            -0.212836996,
            -0.214539275,
            -0.216241568,
            -0.217943847,
            -0.219646126,
            -0.221348405,
            -0.223050684,
            -0.224752977,
            -0.225903779,
            -0.22663334,
            -0.227362886,
            -0.228092432,
            -0.228821978,
            -0.229551539,
            -0.230281085,
            -0.231010631,
            -0.231740177,
            -0.232469738,
            -0.233199283,
            -0.233928829,
            -0.234658375,
            -0.235387936,
            -0.236117482,
            -0.236847028,
            -0.237576574,
            -0.238306135,
            -0.239035681,
            -0.239765227,
            -0.240494773,
            -0.241224334,
            -0.24195388,
            -0.242683426,
            -0.243412971,
            -0.244142532,
            -0.244872078,
            -0.245601624,
            -0.24633117,
            -0.247060716,
            -0.247790277,
            -0.248519823,
            -0.249249369,
            -0.24997893,
            -0.250708491,
            -0.251438022,
            -0.252167583,
            -0.252897143,
            -0.253626674,
            -0.254356235,
            -0.255085796,
            -0.255815327,
            -0.256544888,
            -0.257274449,
            -0.25800398,
            -0.258733541,
            -0.259463102,
            -0.260192633,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260845602,
            -0.26181832,
            -0.262791067,
            -0.263763785,
            -0.264736533,
            -0.265709251,
            -0.266681999,
            -0.267654717,
            -0.268627465,
            -0.269600183,
            -0.270572901,
            -0.271545649,
            -0.272518367,
            -0.273491114,
            -0.274463832,
            -0.27543658,
            -0.276409298,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.275681674,
            -0.274708927,
            -0.273736209,
            -0.272763461,
            -0.271790743,
            -0.270817995,
            -0.269845277,
            -0.268872559,
            -0.267899811,
            -0.266927093,
            -0.265954345,
            -0.264981627,
            -0.26400888,
            -0.263036162,
            -0.262063444,
            -0.261090696,
            -0.260284543,
            -0.259555012,
            -0.258825451,
            -0.25809589,
            -0.257366359,
            -0.256636798,
            -0.255907238,
            -0.255177706,
            -0.254448146,
            -0.253718585,
            -0.252989054,
            -0.252259493,
            -0.251529932,
            -0.250800401,
            -0.25007084,
            -0.249341279,
            -0.248203874,
            -0.246744782,
            -0.245285675,
            -0.243826583,
            -0.242367476,
            -0.240908384,
            -0.239449278,
            -0.237990186,
            -0.236531079,
            -0.235071987,
            -0.23361288,
            -0.232153788,
            -0.230694681,
            -0.22923559,
            -0.227776483,
            -0.226317391,
            -0.224752977,
            -0.223050699,
            -0.221348405,
            -0.219646126,
            -0.217943847,
            -0.216241568,
            -0.214539275,
            -0.212836996,
            -0.211134717,
            -0.209432438,
            -0.207730144,
            -0.206027865,
            -0.204325587,
            -0.202623308,
            -0.200921029,
            -0.199218735,
            -0.197591141,
            -0.196132034,
            -0.194672942,
            -0.193213835,
            -0.191754743,
            -0.190295637,
            -0.188836545,
            -0.187377438,
            -0.185918346,
            -0.184459239,
            -0.183000147,
            -0.181541041,
            -0.180081949,
            -0.178622842,
            -0.17716375,
            -0.175704643,
            -0.174377665,
            -0.173648119,
            -0.172918573,
            -0.172189027,
            -0.171459466,
            -0.17072992,
            -0.170000374,
            -0.169270828,
            -0.168541268,
            -0.167811722,
            -0.167082176,
            -0.16635263,
            -0.165623069,
            -0.164893523,
            -0.164163977,
            -0.163434431,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.163422942,
            -0.164152488,
            -0.164882034,
            -0.16561158,
            -0.166341141,
            -0.167070687,
            -0.167800233,
            -0.168529779,
            -0.16925934,
            -0.169988886,
            -0.170718431,
            -0.171447977,
            -0.172177538,
            -0.172907084,
            -0.17363663,
            -0.174366176,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.17401576,
            -0.173286214,
            -0.172556669,
            -0.171827123,
            -0.171097577,
            -0.170368016,
            -0.16963847,
            -0.168908924,
            -0.168179378,
            -0.167449817,
            -0.166720271,
            -0.165990725,
            -0.165261179,
            -0.164531618,
            -0.163802072,
            -0.163072526,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162434891,
            -0.16170533,
            -0.160975784,
            -0.160246238,
            -0.159516692,
            -0.158787131,
            -0.158057585,
            -0.157328039,
            -0.156598493,
            -0.155868948,
            -0.155139387,
            -0.154409841,
            -0.153680295,
            -0.152950734,
            -0.152221188,
            -0.151491642,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150854006,
            -0.15012446,
            -0.1493949,
            -0.148665354,
            -0.147935808,
            -0.147206262,
            -0.146476701,
            -0.145747155,
            -0.145017609,
            -0.144288063,
            -0.143558502,
            -0.142828956,
            -0.14209941,
            -0.141369864,
            -0.140640303,
            -0.139910758,
            -0.139169723,
            -0.13819699,
            -0.137224257,
            -0.136251524,
            -0.135278776,
            -0.134306043,
            -0.13333331,
            -0.132360578,
            -0.131387845,
            -0.130415112,
            -0.129442379,
            -0.128469646,
            -0.127496913,
            -0.126524165,
            -0.125551432,
            -0.124578699,
            -0.123605967,
            -0.122185163,
            -0.120726064,
            -0.119266964,
            -0.117807865,
            -0.116348766,
            -0.114889666,
            -0.113430567,
            -0.111971468,
            -0.110512376,
            -0.109053269,
            -0.107594177,
            -0.10613507,
            -0.104675978,
            -0.103216872,
            -0.10175778,
            -0.100298673,
            -0.098839581,
            -0.0973804817,
            -0.0959213823,
            -0.094462283,
            -0.0930031836,
            -0.0915440843,
            -0.0900849849,
            -0.0886258855,
            -0.0871667862,
            -0.0857076868,
            -0.0842485875,
            -0.0827894881,
            -0.0813303888,
            -0.0798712894,
            -0.0784121901,
            -0.0769530907,
            -0.0753312334,
            -0.0736289471,
            -0.0719266683,
            -0.070224382,
            -0.0685221031,
            -0.0668198168,
            -0.065117538,
            -0.0634152517,
            -0.0617129728,
            -0.0600106902,
            -0.0583084077,
            -0.0566061251,
            -0.0549038425,
            -0.0532015599,
            -0.0514992774,
            -0.0497969948,
            -0.0482268371,
            -0.0467677377,
            -0.0453086384,
            -0.043849539,
            -0.0423904397,
            -0.0409313403,
            -0.039472241,
            -0.0380131416,
            -0.0365540422,
            -0.0350949429,
            -0.0336358435,
            -0.0321767479,
            -0.0307176467,
            -0.0292585474,
            -0.027799448,
            -0.0263403486,
            -0.025185708,
            -0.0244561583,
            -0.0237266086,
            -0.0229970589,
            -0.0222675093,
            -0.0215379596,
            -0.0208084099,
            -0.0200788602,
            -0.0193493105,
            -0.0186197609,
            -0.0178902112,
            -0.0171606615,
            -0.0164311118,
            -0.0157015622,
            -0.0149720125,
            -0.0142424628,
            -0.0134420646,
            -0.0124693327,
            -0.0114965998,
            -0.0105238669,
            -0.00955113396,
            -0.00857840106,
            -0.00760566816,
            -0.00663293526,
            -0.00566020235,
            -0.00468746945,
            -0.00371473748,
            -0.00274200458,
            -0.00176927168,
            -0.000796538778,
            0.000176194124,
            0.00114892703,
            0.00208144821,
            0.00281099789,
            0.00354054733,
            0.00427009724,
            0.00499964645,
            0.00572919613,
            0.0064587458,
            0.00718829548,
            0.00791784469,
            0.00864739437,
            0.00937694404,
            0.0101064937,
            0.0108360434,
            0.0115655931,
            0.0122951427,
            0.0130246924,
            0.0137542412,
            0.0144837908,
            0.0152133405,
            0.0159428902,
            0.0166724399,
            0.0174019895,
            0.0181315392,
            0.0188610889,
            0.0195906386,
            0.0203201883,
            0.0210497379,
            0.0217792876,
            0.0225088373,
            0.023238387,
            0.0239679366,
            0.0246974863,
            0.025427036,
            0.0268229451,
            0.0282820445,
            0.0297411438,
            0.0312002413,
            0.0326593406,
            0.03411844,
            0.0355775394,
            0.0370366387,
            0.0384957381,
            0.0399548374,
            0.0414139368,
            0.0428730361,
            0.0443321355,
            0.0457912348,
            0.0472503342,
            0.0487094298,
            0.0495940819,
            0.0503236316,
            0.0510531813,
            0.051782731,
            0.0525122806,
            0.0532418303,
            0.05397138,
            0.0547009297,
            0.0554304793,
            0.056160029,
            0.0568895787,
            0.0576191284,
            0.0583486781,
            0.0590782277,
            0.0598077774,
            0.0605373271,
            0.0614277236,
            0.0624004565,
            0.0633731857,
            0.0643459186,
            0.0653186515,
            0.0662913844,
            0.0672641173,
            0.0682368502,
            0.0692095831,
            0.070182316,
            0.0711550489,
            0.0721277818,
            0.0731005147,
            0.0740732476,
            0.0750459805,
            0.0760187134,
            0.07686124,
            0.0775907859,
            0.0783203393,
            0.0790498853,
            0.0797794387,
            0.0805089846,
            0.081238538,
            0.081968084,
            0.0826976374,
            0.0834271833,
            0.0841567367,
            0.0848862827,
            0.0856158361,
            0.086345382,
            0.0870749354,
            0.0878044814,
            0.0885340348,
            0.0892635807,
            0.0899931341,
            0.0907226801,
            0.0914522335,
            0.0921817794,
            0.0929113328,
            0.0936408788,
            0.0943704247,
            0.0950999781,
            0.0958295316,
            0.0965590775,
            0.0972886235,
            0.0980181769,
            0.0987477303,
            0.0994772762,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100114912,
            0.100844465,
            0.101574011,
            0.102303565,
            0.10303311,
            0.103762664,
            0.10449221,
            0.105221763,
            0.105951309,
            0.106680863,
            0.107410409,
            0.108139962,
            0.108869508,
            0.109599061,
            0.110328607,
            0.111058161,
            0.111787707,
            0.11251726,
            0.113246806,
            0.113976359,
            0.114705905,
            0.115435451,
            0.116165005,
            0.116894551,
            0.117624104,
            0.11835365,
            0.119083203,
            0.119812749,
            0.120542303,
            0.121271849,
            0.122001402,
            0.122730948,
            0.123460501,
            0.12507087,
            0.126773149,
            0.128475443,
            0.130177721,
            0.13188,
            0.133582279,
            0.135284573,
            0.136986852,
            0.138689131,
            0.140391409,
            0.142093688,
            0.143795982,
            0.145498261,
            0.14720054,
            0.148902819,
            0.150605112,
            0.152117819,
            0.153576925,
            0.155036017,
            0.156495124,
            0.157954216,
            0.159413323,
            0.160872415,
            0.162331522,
            0.163790613,
            0.16524972,
            0.166708812,
            0.168167919,
            0.169627011,
            0.171086103,
            0.17254521,
            0.174004316,
            0.174986616,
            0.175716162,
            0.176445708,
            0.177175269,
            0.177904814,
            0.17863436,
            0.179363906,
            0.180093467,
            0.180823013,
            0.181552559,
            0.182282105,
            0.183011666,
            0.183741212,
            0.184470758,
            0.185200304,
            0.185929865,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185981557,
            0.185252011,
            0.184522465,
            0.183792904,
            0.183063358,
            0.182333812,
            0.181604266,
            0.180874705,
            0.180145159,
            0.179415613,
            0.178686067,
            0.177956522,
            0.177226961,
            0.176497415,
            0.175767869,
            0.175038323,
            0.174710885,
            0.175440431,
            0.176169977,
            0.176899523,
            0.177629083,
            0.178358629,
            0.179088175,
            0.179817721,
            0.180547282,
            0.181276828,
            0.182006374,
            0.18273592,
            0.183465481,
            0.184195027,
            0.184924573,
            0.185654119,
            0.186420053,
            0.187392786,
            0.188365534,
            0.189338267,
            0.190311,
            0.191283733,
            0.19225648,
            0.193229213,
            0.194201946,
            0.195174679,
            0.196147427,
            0.19712016,
            0.198092893,
            0.199065626,
            0.200038373,
            0.201011106,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.202523813,
            0.203253359,
            0.203982905,
            0.204712451,
            0.205441996,
            0.206171542,
            0.206901088,
            0.207630634,
            0.20836018,
            0.209089726,
            0.209819272,
            0.210548818,
            0.211278364,
            0.21200791,
            0.212737456,
            0.213467002,
            0.214196548,
            0.214926109,
            0.215655655,
            0.216385201,
            0.217114747,
            0.217844307,
            0.218573853,
            0.219303399,
            0.220032945,
            0.220762506,
            0.221492052,
            0.222221598,
            0.222951144,
            0.223680705,
            0.224410251,
            0.225139797,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225777432,
            0.226506993,
            0.227236539,
            0.227966085,
            0.228695631,
            0.229425192,
            0.230154738,
            0.230884284,
            0.23161383,
            0.232343376,
            0.233072937,
            0.233802482,
            0.234532028,
            0.235261574,
            0.235991135,
            0.236720681,
            0.237645537,
            0.239104643,
            0.24056375,
            0.242022857,
            0.243481949,
            0.244941056,
            0.246400163,
            0.247859269,
            0.249318361,
            0.250777483,
            0.252236575,
            0.253695667,
            0.255154788,
            0.25661388,
            0.258072972,
            0.259532094,
            0.260922253,
            0.261895001,
            0.262867719,
            0.263840467,
            0.264813215,
            0.265785933,
            0.26675868,
            0.267731398,
            0.268704146,
            0.269676894,
            0.270649612,
            0.27162236,
            0.272595108,
            0.273567826,
            0.274540573,
            0.275513291,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.275605202,
            0.274632484,
            0.273659736,
            0.272687018,
            0.27171427,
            0.270741522,
            0.269768804,
            0.268796057,
            0.267823339,
            0.266850591,
            0.265877843,
            0.264905125,
            0.263932377,
            0.262959629,
            0.261986911,
            0.261014163,
            0.260227174,
            0.259497613,
            0.258768052,
            0.258038521,
            0.25730896,
            0.256579399,
            0.255849838,
            0.255120307,
            0.254390746,
            0.253661186,
            0.252931625,
            0.252202094,
            0.251472533,
            0.250742972,
            0.250013411,
            0.249283865,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249301106,
            0.250030667,
            0.250760198,
            0.251489758,
            0.252219319,
            0.25294888,
            0.253678411,
            0.254407972,
            0.255137533,
            0.255867094,
            0.256596625,
            0.257326186,
            0.258055747,
            0.258785307,
            0.259514838,
            0.260244399,
            0.261037141,
            0.262009889,
            0.262982607,
            0.263955355,
            0.264928102,
            0.26590082,
            0.266873568,
            0.267846286,
            0.268819034,
            0.269791782,
            0.2707645,
            0.271737248,
            0.272709996,
            0.273682714,
            0.274655461,
            0.275628179,
            0.276666045,
            0.278125137,
            0.279584229,
            0.281043321,
            0.282502413,
            0.283961505,
            0.285420597,
            0.286879689,
            0.28833881,
            0.289797902,
            0.291256994,
            0.292716086,
            0.294175178,
            0.29563427,
            0.297093362,
            0.298552454,
            0.300005823,
            0.300735354,
            0.301464915,
            0.302194476,
            0.302924007,
            0.303653568,
            0.304383099,
            0.30511266,
            0.305842221,
            0.306571752,
            0.307301313,
            0.308030874,
            0.308760405,
            0.309489965,
            0.310219496,
            0.310949057,
            0.311678618,
            0.313266009,
            0.314968288,
            0.316670567,
            0.318372846,
            0.320075125,
            0.321777403,
            0.323479682,
            0.325181991,
            0.32688427,
            0.328586549,
            0.330288827,
            0.331991106,
            0.333693385,
            0.335395664,
            0.337097943,
            0.338800251,
            0.341421634,
            0.344339848,
            0.347258031,
            0.350176245,
            0.353094429,
            0.356012642,
            0.358930826,
            0.36184904,
            0.364767224,
            0.367685437,
            0.370603621,
            0.373521805,
            0.376440018,
            0.379358232,
            0.382276416,
            0.3851946,
            0.387806445,
            0.390238285,
            0.392670095,
            0.395101935,
            0.397533774,
            0.399965584,
            0.402397424,
            0.404829264,
            0.407261103,
            0.409692913,
            0.412124753,
            0.414556593,
            0.416988432,
            0.419420242,
            0.421852082,
            0.424283922,
            0.426225543,
            0.427684665,
            0.429143757,
            0.430602849,
            0.43206194,
            0.433521062,
            0.434980154,
            0.436439246,
            0.437898338,
            0.43935746,
            0.440816551,
            0.442275643,
            0.443734735,
            0.445193857,
            0.446652949,
            0.448112041,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.449203491,
            0.449933052,
            0.450662583,
            0.451392144,
            0.452121705,
            0.452851236,
            0.453580797,
            0.454310328,
            0.455039889,
            0.455769449,
            0.456498981,
            0.457228541,
            0.457958102,
            0.458687633,
            0.459417194,
            0.460146725,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376
          ],
          [
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.487597734,
            0.486868173,
            0.486138642,
            0.485409081,
            0.48467955,
            0.483949989,
            0.483220458,
            0.482490897,
            0.481761366,
            0.481031805,
            0.480302274,
            0.479572713,
            0.478843182,
            0.478113621,
            0.47738409,
            0.47665453,
            0.475197345,
            0.473495066,
            0.471792787,
            0.470090479,
            0.4683882,
            0.466685921,
            0.464983642,
            0.463281333,
            0.461579055,
            0.459876776,
            0.458174497,
            0.456472188,
            0.454769909,
            0.453067631,
            0.451365352,
            0.449663043,
            0.448565871,
            0.44783631,
            0.447106749,
            0.446377218,
            0.445647657,
            0.444918096,
            0.444188565,
            0.443459004,
            0.442729473,
            0.441999912,
            0.441270351,
            0.44054082,
            0.43981126,
            0.439081699,
            0.438352168,
            0.437622607,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.436984986,
            0.436255425,
            0.435525864,
            0.434796333,
            0.434066772,
            0.433337212,
            0.432607681,
            0.43187812,
            0.431148589,
            0.430419028,
            0.429689467,
            0.428959936,
            0.428230375,
            0.427500844,
            0.426771283,
            0.426041722,
            0.425312191,
            0.42458263,
            0.42385307,
            0.423123509,
            0.422393978,
            0.421664417,
            0.420934856,
            0.420205295,
            0.419475764,
            0.418746203,
            0.418016642,
            0.417287081,
            0.41655755,
            0.41582799,
            0.415098429,
            0.414368868,
            0.413639337,
            0.412909776,
            0.412180245,
            0.411450684,
            0.410721153,
            0.409991592,
            0.409262061,
            0.4085325,
            0.407802969,
            0.407073408,
            0.406343877,
            0.405614316,
            0.404884785,
            0.404155225,
            0.403425694,
            0.402696133,
            0.401966602,
            0.400995791,
            0.400023043,
            0.399050325,
            0.398077577,
            0.397104859,
            0.396132112,
            0.395159394,
            0.394186646,
            0.393213928,
            0.39224118,
            0.391268462,
            0.390295714,
            0.389322996,
            0.388350248,
            0.38737753,
            0.386404783,
            0.385642678,
            0.384913146,
            0.384183586,
            0.383454025,
            0.382724494,
            0.381994933,
            0.381265372,
            0.380535841,
            0.37980628,
            0.379076749,
            0.378347188,
            0.377617627,
            0.376888096,
            0.376158535,
            0.375428975,
            0.374699444,
            0.373969883,
            0.373240352,
            0.372510791,
            0.37178123,
            0.371051699,
            0.370322138,
            0.369592607,
            0.368863046,
            0.368133485,
            0.367403954,
            0.366674393,
            0.365944833,
            0.365215302,
            0.364485741,
            0.36375618,
            0.363026649,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.363101333,
            0.363830864,
            0.364560425,
            0.365289986,
            0.366019517,
            0.366749078,
            0.367478609,
            0.36820817,
            0.368937731,
            0.369667262,
            0.370396823,
            0.371126384,
            0.371855915,
            0.372585475,
            0.373315006,
            0.374044567,
            0.374774128,
            0.375503659,
            0.37623322,
            0.376962781,
            0.377692312,
            0.378421873,
            0.379151404,
            0.379880965,
            0.380610526,
            0.381340057,
            0.382069618,
            0.382799149,
            0.383528709,
            0.38425827,
            0.384987801,
            0.385717362,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.385556519,
            0.384826958,
            0.384097427,
            0.383367866,
            0.382638305,
            0.381908774,
            0.381179214,
            0.380449682,
            0.379720122,
            0.378990561,
            0.37826103,
            0.377531469,
            0.376801908,
            0.376072377,
            0.375342816,
            0.374613285,
            0.373883724,
            0.373154163,
            0.372424632,
            0.371695071,
            0.370965511,
            0.37023598,
            0.369506419,
            0.368776888,
            0.368047327,
            0.367317766,
            0.366588235,
            0.365858674,
            0.365129113,
            0.364399582,
            0.363670021,
            0.36294049,
            0.362210929,
            0.361481369,
            0.360751837,
            0.360022277,
            0.359292716,
            0.358563185,
            0.357833624,
            0.357104093,
            0.356374532,
            0.355644971,
            0.35491544,
            0.354185879,
            0.353456318,
            0.352726787,
            0.351997226,
            0.351267695,
            0.350538135,
            0.349808574,
            0.349079043,
            0.348349482,
            0.347619951,
            0.34689039,
            0.346160829,
            0.345431298,
            0.344701737,
            0.343972176,
            0.343242645,
            0.342513084,
            0.341783553,
            0.341053993,
            0.340324432,
            0.339594901,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.338871092,
            0.337898344,
            0.336925626,
            0.335952878,
            0.33498016,
            0.334007412,
            0.333034694,
            0.332061946,
            0.331089228,
            0.330116481,
            0.329143763,
            0.328171015,
            0.327198297,
            0.326225549,
            0.325252831,
            0.324280083,
            0.323362887,
            0.322633356,
            0.321903795,
            0.321174234,
            0.320444703,
            0.319715142,
            0.318985581,
            0.31825605,
            0.317526489,
            0.316796958,
            0.316067398,
            0.315337837,
            0.314608306,
            0.313878745,
            0.313149184,
            0.312419653,
            0.311615407,
            0.310156316,
            0.308697224,
            0.307238132,
            0.30577901,
            0.304319918,
            0.302860826,
            0.301401734,
            0.299942613,
            0.298483521,
            0.297024429,
            0.295565337,
            0.294106245,
            0.292647123,
            0.291188031,
            0.28972894,
            0.288269818,
            0.286573291,
            0.284871012,
            0.283168733,
            0.281466454,
            0.279764175,
            0.278061897,
            0.276359588,
            0.274657309,
            0.27295503,
            0.271252751,
            0.269550472,
            0.267848194,
            0.266145915,
            0.264443636,
            0.262741327,
            0.261039048,
            0.258923173,
            0.25673452,
            0.254545867,
            0.252357215,
            0.250168562,
            0.247979909,
            0.245791256,
            0.243602604,
            0.241413951,
            0.239225298,
            0.237036645,
            0.234847993,
            0.23265934,
            0.230470687,
            0.228282034,
            0.226093382,
            0.224433228,
            0.222974136,
            0.221515045,
            0.220055938,
            0.218596846,
            0.217137754,
            0.215678662,
            0.214219555,
            0.212760463,
            0.211301371,
            0.20984228,
            0.208383173,
            0.206924081,
            0.205464989,
            0.204005897,
            0.202546805,
            0.200505599,
            0.19807376,
            0.195641935,
            0.193210095,
            0.19077827,
            0.188346431,
            0.185914606,
            0.183482766,
            0.181050941,
            0.178619102,
            0.176187277,
            0.173755437,
            0.171323612,
            0.168891773,
            0.166459948,
            0.164028108,
            0.162055835,
            0.160596728,
            0.159137636,
            0.15767853,
            0.156219423,
            0.154760331,
            0.153301224,
            0.151842117,
            0.150383011,
            0.148923919,
            0.147464812,
            0.146005705,
            0.144546598,
            0.143087506,
            0.141628399,
            0.140169293,
            0.138625935,
            0.136923656,
            0.135221377,
            0.133519098,
            0.131816804,
            0.130114526,
            0.128412247,
            0.126709968,
            0.125007689,
            0.123305395,
            0.121603116,
            0.119900838,
            0.118198551,
            0.116496272,
            0.114793986,
            0.113091707,
            0.111443035,
            0.109983936,
            0.108524837,
            0.107065737,
            0.105606638,
            0.104147539,
            0.102688447,
            0.10122934,
            0.0997702479,
            0.0983111411,
            0.0968520492,
            0.0953929424,
            0.0939338505,
            0.0924747512,
            0.0910156518,
            0.0895565525,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0875287503,
            0.0867991969,
            0.0860696509,
            0.0853400975,
            0.0846105516,
            0.0838809982,
            0.0831514522,
            0.0824218988,
            0.0816923529,
            0.0809627995,
            0.0802332535,
            0.0795037001,
            0.0787741542,
            0.0780446008,
            0.0773150548,
            0.0765855014,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0757736191,
            0.0748008862,
            0.0738281533,
            0.0728554204,
            0.0718826875,
            0.0709099546,
            0.0699372217,
            0.0689644888,
            0.0679917559,
            0.067019023,
            0.0660462901,
            0.0650735572,
            0.0641008243,
            0.0631280914,
            0.0621553585,
            0.0611826256,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0605373271,
            0.0598077774,
            0.0590782277,
            0.0583486781,
            0.0576191284,
            0.0568895787,
            0.056160029,
            0.0554304793,
            0.0547009297,
            0.05397138,
            0.0532418303,
            0.0525122806,
            0.051782731,
            0.0510531813,
            0.0503236316,
            0.0495940819,
            0.0488645323,
            0.0481349826,
            0.0474054329,
            0.0466758832,
            0.0459463336,
            0.0452167839,
            0.0444872379,
            0.0437576845,
            0.0430281386,
            0.0422985889,
            0.0415690392,
            0.0408394858,
            0.0401099399,
            0.0393803902,
            0.0386508405,
            0.0379212908,
            0.0371917412,
            0.0364621915,
            0.0357326418,
            0.0350030921,
            0.0342735425,
            0.0335439928,
            0.0328144431,
            0.0320848934,
            0.0313553438,
            0.0306257941,
            0.0298962444,
            0.0291666947,
            0.0284371451,
            0.0277075954,
            0.0269780457,
            0.026248496,
            0.0255189463,
            0.0240885708,
            0.0226294715,
            0.0211703721,
            0.0197112728,
            0.0182521734,
            0.0167930741,
            0.0153339747,
            0.0138748754,
            0.012415777,
            0.0109566776,
            0.00949757919,
            0.00803847983,
            0.00657938048,
            0.00512028113,
            0.00366118178,
            0.00220208243,
            0.00054001133,
            -0.00116227102,
            -0.00286455359,
            -0.00456683571,
            -0.00626911782,
            -0.0079714004,
            -0.00967368297,
            -0.0113759656,
            -0.0130782472,
            -0.0147805307,
            -0.0164828114,
            -0.018185094,
            -0.0198873766,
            -0.0215896592,
            -0.0232919417,
            -0.0249942243,
            -0.026007168,
            -0.0267367177,
            -0.0274662673,
            -0.028195817,
            -0.0289253667,
            -0.0296549164,
            -0.0303844661,
            -0.0311140157,
            -0.0318435654,
            -0.0325731151,
            -0.0333026648,
            -0.0340322144,
            -0.0347617641,
            -0.0354913138,
            -0.0362208635,
            -0.0369504131,
            -0.0376799628,
            -0.0384095125,
            -0.0391390622,
            -0.0398686118,
            -0.0405981615,
            -0.0413277112,
            -0.0420572609,
            -0.0427868105,
            -0.0435163602,
            -0.0442459062,
            -0.0449754596,
            -0.0457050055,
            -0.0464345589,
            -0.0471641049,
            -0.0478936583,
            -0.0486232042,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0490195751,
            -0.0495825335,
            -0.0512848161,
            -0.0529870987,
            -0.0546893813,
            -0.0563916638,
            -0.0580939464,
            -0.059796229,
            -0.0614985116,
            -0.0632007942,
            -0.0649030805,
            -0.0666053593,
            -0.0683076382,
            -0.0700099245,
            -0.0717122033,
            -0.0734144896,
            -0.0751167685,
            -0.0766199082,
            -0.0773494616,
            -0.0780790076,
            -0.078808561,
            -0.0795381069,
            -0.0802676603,
            -0.0809972063,
            -0.0817267597,
            -0.0824563056,
            -0.083185859,
            -0.083915405,
            -0.0846449584,
            -0.0853745043,
            -0.0861040577,
            -0.0868336037,
            -0.0875631571,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0888384283,
            -0.0895679817,
            -0.0902975276,
            -0.091027081,
            -0.091756627,
            -0.0924861804,
            -0.0932157263,
            -0.0939452797,
            -0.0946748257,
            -0.0954043791,
            -0.096133925,
            -0.0968634784,
            -0.0975930244,
            -0.0983225778,
            -0.0990521237,
            -0.0997816771,
            -0.100511223,
            -0.101240769,
            -0.101970315,
            -0.102699868,
            -0.103429414,
            -0.10415896,
            -0.104888506,
            -0.10561806,
            -0.106347606,
            -0.107077152,
            -0.107806697,
            -0.108536243,
            -0.109265797,
            -0.109995343,
            -0.110724889,
            -0.111454442,
            -0.111345291,
            -0.110615745,
            -0.109886199,
            -0.109156653,
            -0.1084271,
            -0.107697554,
            -0.106968008,
            -0.106238462,
            -0.105508909,
            -0.104779363,
            -0.104049817,
            -0.103320271,
            -0.102590717,
            -0.101861171,
            -0.101131625,
            -0.10040208,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100143574,
            -0.10087312,
            -0.101602674,
            -0.102332219,
            -0.103061765,
            -0.103791311,
            -0.104520865,
            -0.105250411,
            -0.105979957,
            -0.106709503,
            -0.107439056,
            -0.108168602,
            -0.108898148,
            -0.109627694,
            -0.110357247,
            -0.111086793,
            -0.111885272,
            -0.113587558,
            -0.115289845,
            -0.116992131,
            -0.118694417,
            -0.120396703,
            -0.12209899,
            -0.123801276,
            -0.12550357,
            -0.127205849,
            -0.128908128,
            -0.130610421,
            -0.132312715,
            -0.134014994,
            -0.135717273,
            -0.137419567,
            -0.139121845,
            -0.140594348,
            -0.142053455,
            -0.143512547,
            -0.144971654,
            -0.146430746,
            -0.147889853,
            -0.149348944,
            -0.150808051,
            -0.152267143,
            -0.15372625,
            -0.155185342,
            -0.156644449,
            -0.158103541,
            -0.159562647,
            -0.161021739,
            -0.162480846,
            -0.163939938,
            -0.165399045,
            -0.166858137,
            -0.168317243,
            -0.169776335,
            -0.171235442,
            -0.172694534,
            -0.174153641,
            -0.175612733,
            -0.17707184,
            -0.178530931,
            -0.179990038,
            -0.18144913,
            -0.182908237,
            -0.184367329,
            -0.185826421,
            -0.187959552,
            -0.190391377,
            -0.192823216,
            -0.195255041,
            -0.197686881,
            -0.200118706,
            -0.202550545,
            -0.20498237,
            -0.20741421,
            -0.209846035,
            -0.212277859,
            -0.214709699,
            -0.217141539,
            -0.219573364,
            -0.222005188,
            -0.224437028,
            -0.225903779,
            -0.22663334,
            -0.227362886,
            -0.228092432,
            -0.228821978,
            -0.229551539,
            -0.230281085,
            -0.231010631,
            -0.231740177,
            -0.232469738,
            -0.233199283,
            -0.233928829,
            -0.234658375,
            -0.235387936,
            -0.236117482,
            -0.236847028,
            -0.237898275,
            -0.239357367,
            -0.240816474,
            -0.242275581,
            -0.243734673,
            -0.245193779,
            -0.246652871,
            -0.248111978,
            -0.249571085,
            -0.251030177,
            -0.252489269,
            -0.25394839,
            -0.255407482,
            -0.256866574,
            -0.258325696,
            -0.259784788,
            -0.261090696,
            -0.262063444,
            -0.263036162,
            -0.26400888,
            -0.264981627,
            -0.265954345,
            -0.266927093,
            -0.267899811,
            -0.268872559,
            -0.269845277,
            -0.270817995,
            -0.271790743,
            -0.272763461,
            -0.273736209,
            -0.274708927,
            -0.275681674,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.275681674,
            -0.274708927,
            -0.273736209,
            -0.272763461,
            -0.271790743,
            -0.270817995,
            -0.269845277,
            -0.268872559,
            -0.267899811,
            -0.266927093,
            -0.265954345,
            -0.264981627,
            -0.26400888,
            -0.263036162,
            -0.262063444,
            -0.261090696,
            -0.260284543,
            -0.259555012,
            -0.258825451,
            -0.25809589,
            -0.257366359,
            -0.256636798,
            -0.255907238,
            -0.255177706,
            -0.254448146,
            -0.253718585,
            -0.252989054,
            -0.252259493,
            -0.251529932,
            -0.250800401,
            -0.25007084,
            -0.249341279,
            -0.248203874,
            -0.246744782,
            -0.245285675,
            -0.243826583,
            -0.242367476,
            -0.240908384,
            -0.239449278,
            -0.237990186,
            -0.236531079,
            -0.235071987,
            -0.23361288,
            -0.232153788,
            -0.230694681,
            -0.22923559,
            -0.227776483,
            -0.226317391,
            -0.224752977,
            -0.223050699,
            -0.221348405,
            -0.219646126,
            -0.217943847,
            -0.216241568,
            -0.214539275,
            -0.212836996,
            -0.211134717,
            -0.209432438,
            -0.207730144,
            -0.206027865,
            -0.204325587,
            -0.202623308,
            -0.200921029,
            -0.199218735,
            -0.197815165,
            -0.197085619,
            -0.196356073,
            -0.195626527,
            -0.194896966,
            -0.19416742,
            -0.193437874,
            -0.192708328,
            -0.191978768,
            -0.191249222,
            -0.190519676,
            -0.18979013,
            -0.189060569,
            -0.188331023,
            -0.187601477,
            -0.186871931,
            -0.18614237,
            -0.185412824,
            -0.184683278,
            -0.183953732,
            -0.183224171,
            -0.182494625,
            -0.181765079,
            -0.181035534,
            -0.180305973,
            -0.179576427,
            -0.178846881,
            -0.178117335,
            -0.177387774,
            -0.176658228,
            -0.175928682,
            -0.175199136,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174199596,
            -0.173470035,
            -0.172740489,
            -0.172010943,
            -0.171281397,
            -0.170551836,
            -0.169822291,
            -0.169092745,
            -0.168363199,
            -0.167633653,
            -0.166904092,
            -0.166174546,
            -0.165445,
            -0.164715439,
            -0.163985893,
            -0.163256347,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162618712,
            -0.161889166,
            -0.161159605,
            -0.160430059,
            -0.159700513,
            -0.158970967,
            -0.158241406,
            -0.15751186,
            -0.156782314,
            -0.156052768,
            -0.155323207,
            -0.154593661,
            -0.153864115,
            -0.15313457,
            -0.152405009,
            -0.151675463,
            -0.150945917,
            -0.150216371,
            -0.14948681,
            -0.148757264,
            -0.148027718,
            -0.147298172,
            -0.146568626,
            -0.145839065,
            -0.145109519,
            -0.144379973,
            -0.143650427,
            -0.142920867,
            -0.142191321,
            -0.141461775,
            -0.140732229,
            -0.140002668,
            -0.139273122,
            -0.136975333,
            -0.134543493,
            -0.132111654,
            -0.129679829,
            -0.127247989,
            -0.124816157,
            -0.122384325,
            -0.119952492,
            -0.11752066,
            -0.11508882,
            -0.112656988,
            -0.110225156,
            -0.107793316,
            -0.105361491,
            -0.102929652,
            -0.100497819,
            -0.0980659872,
            -0.095634155,
            -0.0932023227,
            -0.0907704905,
            -0.0883386582,
            -0.085906826,
            -0.0834749937,
            -0.0810431615,
            -0.0786113292,
            -0.0761795044,
            -0.0737476647,
            -0.0713158399,
            -0.0688840002,
            -0.0664521754,
            -0.0640203357,
            -0.0615885071,
            -0.0598077178,
            -0.0583486184,
            -0.0568895191,
            -0.0554304197,
            -0.0539713204,
            -0.052512221,
            -0.0510531217,
            -0.0495940223,
            -0.048134923,
            -0.0466758236,
            -0.0452167243,
            -0.0437576249,
            -0.0422985256,
            -0.0408394262,
            -0.0393803269,
            -0.0379212275,
            -0.0364621319,
            -0.0350030325,
            -0.0335439332,
            -0.0320848338,
            -0.0306257345,
            -0.0291666351,
            -0.0277075358,
            -0.0262484364,
            -0.0247893371,
            -0.0233302377,
            -0.0218711384,
            -0.0204120409,
            -0.0189529415,
            -0.0174938422,
            -0.0160347428,
            -0.0145756435,
            -0.0133195156,
            -0.0123467837,
            -0.0113740508,
            -0.0104013178,
            -0.00942858495,
            -0.00845585205,
            -0.00748311915,
            -0.00651038624,
            -0.00553765334,
            -0.00456492044,
            -0.00359218847,
            -0.00261945557,
            -0.00164672267,
            -0.000673989765,
            0.000298743136,
            0.00127147604,
            0.00217335997,
            0.00290290965,
            0.00363245909,
            0.00436200853,
            0.00509155821,
            0.00582110789,
            0.00655065756,
            0.00728020724,
            0.00800975598,
            0.00873930566,
            0.00946885534,
            0.010198405,
            0.0109279547,
            0.0116575044,
            0.012387054,
            0.0131166037,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137255192,
            0.0137542412,
            0.0144837908,
            0.0152133405,
            0.0159428902,
            0.0166724399,
            0.0174019895,
            0.0181315392,
            0.0188610889,
            0.0195906386,
            0.0203201883,
            0.0210497379,
            0.0217792876,
            0.0225088373,
            0.023238387,
            0.0239679366,
            0.0246974863,
            0.025427036,
            0.0268229451,
            0.0282820445,
            0.0297411438,
            0.0312002413,
            0.0326593406,
            0.03411844,
            0.0355775394,
            0.0370366387,
            0.0384957381,
            0.0399548374,
            0.0414139368,
            0.0428730361,
            0.0443321355,
            0.0457912348,
            0.0472503342,
            0.0487094298,
            0.0503600128,
            0.0520622954,
            0.053764578,
            0.0554668605,
            0.0571691431,
            0.0588714257,
            0.0605737083,
            0.0622759908,
            0.0639782697,
            0.065680556,
            0.0673828423,
            0.0690851212,
            0.0707874,
            0.0724896863,
            0.0741919652,
            0.0758942515,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0767693296,
            0.0774988756,
            0.078228429,
            0.0789579749,
            0.0796875283,
            0.0804170743,
            0.0811466277,
            0.0818761736,
            0.0826057196,
            0.083335273,
            0.0840648264,
            0.0847943723,
            0.0855239183,
            0.0862534717,
            0.0869830251,
            0.087712571,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0883502066,
            0.08907976,
            0.089809306,
            0.0905388594,
            0.0912684053,
            0.0919979587,
            0.0927275047,
            0.0934570581,
            0.094186604,
            0.0949161574,
            0.0956457034,
            0.0963752568,
            0.0971048027,
            0.0978343561,
            0.0985639021,
            0.0992934555,
            0.100023001,
            0.100752555,
            0.101482101,
            0.102211654,
            0.1029412,
            0.103670746,
            0.104400299,
            0.105129845,
            0.105859399,
            0.106588945,
            0.107318498,
            0.108048044,
            0.108777598,
            0.109507143,
            0.110236697,
            0.110966243,
            0.111695796,
            0.113306165,
            0.115008451,
            0.11671073,
            0.118413016,
            0.120115295,
            0.121817574,
            0.12351986,
            0.125222147,
            0.126924425,
            0.128626704,
            0.130328983,
            0.132031277,
            0.133733556,
            0.135435835,
            0.137138113,
            0.138840407,
            0.140353113,
            0.14181222,
            0.143271327,
            0.144730434,
            0.146189526,
            0.147648633,
            0.149107739,
            0.150566846,
            0.152025938,
            0.153485045,
            0.154944152,
            0.156403244,
            0.15786235,
            0.159321457,
            0.160780564,
            0.162239656,
            0.16322197,
            0.163951516,
            0.164681062,
            0.165410608,
            0.166140154,
            0.1668697,
            0.167599246,
            0.168328792,
            0.169058338,
            0.169787884,
            0.17051743,
            0.171246976,
            0.171976522,
            0.172706068,
            0.173435614,
            0.174165159,
            0.174894705,
            0.175624251,
            0.176353797,
            0.177083358,
            0.177812904,
            0.17854245,
            0.179271996,
            0.180001557,
            0.180731103,
            0.181460649,
            0.182190195,
            0.182919756,
            0.183649302,
            0.184378847,
            0.185108393,
            0.185837954,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.1865426,
            0.187515348,
            0.188488081,
            0.189460814,
            0.190433547,
            0.191406295,
            0.192379028,
            0.193351761,
            0.194324493,
            0.195297241,
            0.196269974,
            0.197242707,
            0.19821544,
            0.199188173,
            0.200160921,
            0.201133654,
            0.202070013,
            0.202799559,
            0.203529105,
            0.204258651,
            0.204988196,
            0.205717742,
            0.206447288,
            0.207176834,
            0.20790638,
            0.208635926,
            0.209365472,
            0.210095018,
            0.210824549,
            0.21155411,
            0.212283641,
            0.213013202,
            0.213708267,
            0.212978721,
            0.21224919,
            0.211519629,
            0.210790098,
            0.210060537,
            0.209331006,
            0.208601445,
            0.207871914,
            0.207142368,
            0.206412822,
            0.205683261,
            0.20495373,
            0.204224184,
            0.203494638,
            0.202765092,
            0.202035546,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.201960862,
            0.202523813,
            0.203253359,
            0.203982905,
            0.204712451,
            0.205441996,
            0.206171542,
            0.206901088,
            0.207630634,
            0.20836018,
            0.209089726,
            0.209819272,
            0.210548818,
            0.211278364,
            0.21200791,
            0.212737456,
            0.213467002,
            0.214196548,
            0.214926109,
            0.215655655,
            0.216385201,
            0.217114747,
            0.217844307,
            0.218573853,
            0.219303399,
            0.220032945,
            0.220762506,
            0.221492052,
            0.222221598,
            0.222951144,
            0.223680705,
            0.224410251,
            0.225139797,
            0.225869343,
            0.226598904,
            0.227328449,
            0.228057995,
            0.228787541,
            0.229517102,
            0.230246648,
            0.230976194,
            0.23170574,
            0.232435301,
            0.233164847,
            0.233894393,
            0.234623939,
            0.2353535,
            0.236083046,
            0.236812592,
            0.237542138,
            0.238271698,
            0.239001244,
            0.23973079,
            0.240460336,
            0.241189897,
            0.241919443,
            0.242648989,
            0.243378535,
            0.244108081,
            0.244837642,
            0.245567188,
            0.246296734,
            0.24702628,
            0.24775584,
            0.248485386,
            0.24947536,
            0.251177639,
            0.252879947,
            0.254582226,
            0.256284505,
            0.257986814,
            0.259689093,
            0.261391371,
            0.26309368,
            0.264795959,
            0.266498238,
            0.268200547,
            0.269902825,
            0.271605134,
            0.273307413,
            0.275009692,
            0.276574135,
            0.277303666,
            0.278033227,
            0.278762758,
            0.279492319,
            0.28022185,
            0.280951411,
            0.281680942,
            0.282410502,
            0.283140033,
            0.283869594,
            0.284599125,
            0.285328686,
            0.286058217,
            0.286787748,
            0.287517309,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.288235366,
            0.28693521,
            0.285232902,
            0.283530623,
            0.281828344,
            0.280126065,
            0.278423786,
            0.276721507,
            0.275019228,
            0.27331695,
            0.271614671,
            0.269912362,
            0.268210083,
            0.266507804,
            0.264805526,
            0.263103247,
            0.261400968,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.261159688,
            0.262132436,
            0.263105154,
            0.264077902,
            0.26505065,
            0.266023368,
            0.266996115,
            0.267968863,
            0.268941581,
            0.269914329,
            0.270887047,
            0.271859795,
            0.272832543,
            0.273805261,
            0.274778008,
            0.275750756,
            0.276660293,
            0.277389824,
            0.278119385,
            0.278848916,
            0.279578477,
            0.280308008,
            0.281037569,
            0.2817671,
            0.282496661,
            0.283226192,
            0.283955753,
            0.284685284,
            0.285414845,
            0.286144376,
            0.286873937,
            0.287603468,
            0.288430691,
            0.289889783,
            0.291348875,
            0.292807966,
            0.294267088,
            0.29572618,
            0.297185272,
            0.298644364,
            0.300103486,
            0.301562577,
            0.303021669,
            0.304480761,
            0.305939853,
            0.307398975,
            0.308858067,
            0.310317159,
            0.311770529,
            0.31250006,
            0.31322962,
            0.313959181,
            0.314688712,
            0.315418273,
            0.316147804,
            0.316877365,
            0.317606926,
            0.318336457,
            0.319066018,
            0.319795579,
            0.32052511,
            0.321254671,
            0.321984202,
            0.322713763,
            0.323443323,
            0.325030714,
            0.326732993,
            0.328435272,
            0.330137551,
            0.33183983,
            0.333542109,
            0.335244387,
            0.336946696,
            0.338648975,
            0.340351254,
            0.342053533,
            0.343755811,
            0.34545809,
            0.347160369,
            0.348862648,
            0.350564957,
            0.35337016,
            0.35653156,
            0.359692931,
            0.362854302,
            0.366015702,
            0.369177073,
            0.372338444,
            0.375499845,
            0.378661215,
            0.381822586,
            0.384983987,
            0.388145357,
            0.391306758,
            0.394468129,
            0.397629499,
            0.4007909,
            0.403339535,
            0.405528188,
            0.407716811,
            0.409905463,
            0.412094116,
            0.414282769,
            0.416471422,
            0.418660074,
            0.420848727,
            0.42303735,
            0.425226003,
            0.427414656,
            0.429603308,
            0.431791961,
            0.433980614,
            0.436169267,
            0.437990248,
            0.43944937,
            0.440908462,
            0.442367554,
            0.443826646,
            0.445285767,
            0.446744859,
            0.448203951,
            0.449663043,
            0.451122165,
            0.452581257,
            0.454040349,
            0.45549944,
            0.456958562,
            0.458417654,
            0.459876746,
            0.461152017,
            0.462124765,
            0.463097483,
            0.464070231,
            0.465042979,
            0.466015697,
            0.466988444,
            0.467961192,
            0.46893391,
            0.469906658,
            0.470879376,
            0.471852124,
            0.472824872,
            0.47379759,
            0.474770337,
            0.475743085,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709
          ],
          [
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.487597734,
            0.486868173,
            0.486138642,
            0.485409081,
            0.48467955,
            0.483949989,
            0.483220458,
            0.482490897,
            0.481761366,
            0.481031805,
            0.480302274,
            0.479572713,
            0.478843182,
            0.478113621,
            0.47738409,
            0.47665453,
            0.475743085,
            0.474770337,
            0.47379759,
            0.472824872,
            0.471852124,
            0.470879376,
            0.469906658,
            0.46893391,
            0.467961192,
            0.466988444,
            0.466015697,
            0.465042979,
            0.464070231,
            0.463097483,
            0.462124765,
            0.461152017,
            0.460330576,
            0.459601015,
            0.458871454,
            0.458141923,
            0.457412362,
            0.456682801,
            0.45595327,
            0.455223709,
            0.454494178,
            0.453764617,
            0.453035057,
            0.452305526,
            0.451575965,
            0.450846404,
            0.450116873,
            0.449387312,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.448749691,
            0.44802013,
            0.44729057,
            0.446561038,
            0.445831478,
            0.445101917,
            0.444372386,
            0.443642825,
            0.442913294,
            0.442183733,
            0.441454172,
            0.440724641,
            0.43999508,
            0.439265549,
            0.438535988,
            0.437806427,
            0.437076896,
            0.436347336,
            0.435617775,
            0.434888244,
            0.434158683,
            0.433429152,
            0.432699591,
            0.43197003,
            0.431240499,
            0.430510938,
            0.429781377,
            0.429051846,
            0.428322285,
            0.427592754,
            0.426863194,
            0.426133633,
            0.425317913,
            0.423858821,
            0.422399729,
            0.420940638,
            0.419481516,
            0.418022424,
            0.416563332,
            0.41510424,
            0.413645118,
            0.412186027,
            0.410726935,
            0.409267843,
            0.407808721,
            0.406349629,
            0.404890537,
            0.403431445,
            0.401972353,
            0.400995791,
            0.400023043,
            0.399050325,
            0.398077577,
            0.397104859,
            0.396132112,
            0.395159394,
            0.394186646,
            0.393213928,
            0.39224118,
            0.391268462,
            0.390295714,
            0.389322996,
            0.388350248,
            0.38737753,
            0.386404783,
            0.385642678,
            0.384913146,
            0.384183586,
            0.383454025,
            0.382724494,
            0.381994933,
            0.381265372,
            0.380535841,
            0.37980628,
            0.379076749,
            0.378347188,
            0.377617627,
            0.376888096,
            0.376158535,
            0.375428975,
            0.374699444,
            0.373969883,
            0.373240352,
            0.372510791,
            0.37178123,
            0.371051699,
            0.370322138,
            0.369592607,
            0.368863046,
            0.368133485,
            0.367403954,
            0.366674393,
            0.365944833,
            0.365215302,
            0.364485741,
            0.36375618,
            0.363026649,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.363101333,
            0.363830864,
            0.364560425,
            0.365289986,
            0.366019517,
            0.366749078,
            0.367478609,
            0.36820817,
            0.368937731,
            0.369667262,
            0.370396823,
            0.371126384,
            0.371855915,
            0.372585475,
            0.373315006,
            0.374044567,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.373791814,
            0.373062253,
            0.372332722,
            0.371603161,
            0.3708736,
            0.370144069,
            0.369414508,
            0.368684977,
            0.367955416,
            0.367225856,
            0.366496325,
            0.365766764,
            0.365037203,
            0.364307672,
            0.363578111,
            0.36284858,
            0.362119019,
            0.361389458,
            0.360659927,
            0.359930366,
            0.359200805,
            0.358471274,
            0.357741714,
            0.357012182,
            0.356282622,
            0.355553061,
            0.35482353,
            0.354093969,
            0.353364408,
            0.352634877,
            0.351905316,
            0.351175785,
            0.350446224,
            0.349716663,
            0.348987132,
            0.348257571,
            0.347528011,
            0.34679848,
            0.346068919,
            0.345339388,
            0.344609827,
            0.343880266,
            0.343150735,
            0.342421174,
            0.341691613,
            0.340962082,
            0.340232521,
            0.33950299,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.338871092,
            0.337898344,
            0.336925626,
            0.335952878,
            0.33498016,
            0.334007412,
            0.333034694,
            0.332061946,
            0.331089228,
            0.330116481,
            0.329143763,
            0.328171015,
            0.327198297,
            0.326225549,
            0.325252831,
            0.324280083,
            0.323362887,
            0.322633356,
            0.321903795,
            0.321174234,
            0.320444703,
            0.319715142,
            0.318985581,
            0.31825605,
            0.317526489,
            0.316796958,
            0.316067398,
            0.315337837,
            0.314608306,
            0.313878745,
            0.313149184,
            0.312419653,
            0.311615407,
            0.310156316,
            0.308697224,
            0.307238132,
            0.30577901,
            0.304319918,
            0.302860826,
            0.301401734,
            0.299942613,
            0.298483521,
            0.297024429,
            0.295565337,
            0.294106245,
            0.292647123,
            0.291188031,
            0.28972894,
            0.288269818,
            0.286573291,
            0.284871012,
            0.283168733,
            0.281466454,
            0.279764175,
            0.278061897,
            0.276359588,
            0.274657309,
            0.27295503,
            0.271252751,
            0.269550472,
            0.267848194,
            0.266145915,
            0.264443636,
            0.262741327,
            0.261039048,
            0.258923173,
            0.25673452,
            0.254545867,
            0.252357215,
            0.250168562,
            0.247979909,
            0.245791256,
            0.243602604,
            0.241413951,
            0.239225298,
            0.237036645,
            0.234847993,
            0.23265934,
            0.230470687,
            0.228282034,
            0.226093382,
            0.224433228,
            0.222974136,
            0.221515045,
            0.220055938,
            0.218596846,
            0.217137754,
            0.215678662,
            0.214219555,
            0.212760463,
            0.211301371,
            0.20984228,
            0.208383173,
            0.206924081,
            0.205464989,
            0.204005897,
            0.202546805,
            0.200942174,
            0.19923988,
            0.197537601,
            0.195835307,
            0.194133028,
            0.192430735,
            0.190728456,
            0.189026162,
            0.187323883,
            0.185621589,
            0.183919311,
            0.182217032,
            0.180514738,
            0.178812444,
            0.177110165,
            0.175407887,
            0.173820481,
            0.172361389,
            0.170902282,
            0.16944319,
            0.167984083,
            0.166524991,
            0.165065885,
            0.163606793,
            0.162147686,
            0.160688594,
            0.159229487,
            0.157770395,
            0.156311303,
            0.154852197,
            0.15339309,
            0.151933998,
            0.15039064,
            0.148688361,
            0.146986082,
            0.145283803,
            0.14358151,
            0.141879231,
            0.140176952,
            0.138474673,
            0.136772394,
            0.1350701,
            0.133367822,
            0.131665543,
            0.129963249,
            0.12826097,
            0.126558691,
            0.124856412,
            0.12320774,
            0.121748641,
            0.120289542,
            0.118830442,
            0.117371343,
            0.115912244,
            0.114453152,
            0.112994045,
            0.111534953,
            0.110075846,
            0.108616754,
            0.107157648,
            0.105698556,
            0.104239456,
            0.102780357,
            0.101321258,
            0.0999310911,
            0.0992015377,
            0.0984719917,
            0.0977424383,
            0.0970128924,
            0.096283339,
            0.095553793,
            0.0948242396,
            0.0940946937,
            0.0933651403,
            0.0926355943,
            0.0919060409,
            0.091176495,
            0.090446949,
            0.0897173956,
            0.0889878422,
            0.0882582963,
            0.0875287503,
            0.0867991969,
            0.0860696509,
            0.0853400975,
            0.0846105516,
            0.0838809982,
            0.0831514522,
            0.0824218988,
            0.0816923529,
            0.0809627995,
            0.0802332535,
            0.0795037001,
            0.0787741542,
            0.0780446008,
            0.0773150548,
            0.0765855014,
            0.0756510645,
            0.0746783316,
            0.0737055987,
            0.0727328658,
            0.0717601329,
            0.0707874,
            0.0698146671,
            0.0688419342,
            0.0678692013,
            0.0668964684,
            0.0659237355,
            0.0649510026,
            0.0639782697,
            0.0630055368,
            0.0620328076,
            0.0610600747,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0606292374,
            0.0598996878,
            0.0591701381,
            0.0584405884,
            0.0577110387,
            0.0569814891,
            0.0562519431,
            0.0555223897,
            0.0547928438,
            0.0540632941,
            0.0533337444,
            0.052604191,
            0.0518746451,
            0.0511450954,
            0.0504155457,
            0.049685996,
            0.0489564463,
            0.0482268967,
            0.047497347,
            0.0467677973,
            0.0460382476,
            0.045308698,
            0.0445791483,
            0.0438495986,
            0.0431200489,
            0.0423904993,
            0.0416609496,
            0.0409313999,
            0.0402018502,
            0.0394723006,
            0.0387427509,
            0.0380132012,
            0.0372836515,
            0.0358532742,
            0.0343941748,
            0.0329350755,
            0.0314759761,
            0.0300168786,
            0.0285577793,
            0.0270986799,
            0.0256395806,
            0.0241804831,
            0.0227213837,
            0.0212622844,
            0.019803185,
            0.0183440857,
            0.0168849863,
            0.015425887,
            0.0139667876,
            0.0123047167,
            0.0106024342,
            0.00890015159,
            0.00719786948,
            0.00549558736,
            0.00379330479,
            0.00209102221,
            0.000388739631,
            -0.00131354202,
            -0.00301582552,
            -0.00471810624,
            -0.00642038882,
            -0.0081226714,
            -0.00982495397,
            -0.0115272366,
            -0.0132295191,
            -0.0142424628,
            -0.0149720125,
            -0.0157015622,
            -0.0164311118,
            -0.0171606615,
            -0.0178902112,
            -0.0186197609,
            -0.0193493105,
            -0.0200788602,
            -0.0208084099,
            -0.0215379596,
            -0.0222675093,
            -0.0229970589,
            -0.0237266086,
            -0.0244561583,
            -0.025185708,
            -0.0259152558,
            -0.0266448054,
            -0.0273743551,
            -0.0281039048,
            -0.0288334545,
            -0.0295630042,
            -0.0302925538,
            -0.0310221035,
            -0.031751655,
            -0.032481201,
            -0.0332107544,
            -0.0339403003,
            -0.0346698537,
            -0.0353993997,
            -0.0361289531,
            -0.0368584991,
            -0.0375880487,
            -0.0383175984,
            -0.0390471481,
            -0.0397766978,
            -0.0405062474,
            -0.0412357971,
            -0.0419653468,
            -0.0426948965,
            -0.0434244461,
            -0.0441539958,
            -0.0448835455,
            -0.0456130952,
            -0.0463426448,
            -0.0470721945,
            -0.0478017442,
            -0.0485312939,
            -0.0495825335,
            -0.0512848161,
            -0.0529870987,
            -0.0546893813,
            -0.0563916638,
            -0.0580939464,
            -0.059796229,
            -0.0614985116,
            -0.0632007942,
            -0.0649030805,
            -0.0666053593,
            -0.0683076382,
            -0.0700099245,
            -0.0717122033,
            -0.0734144896,
            -0.0751167685,
            -0.0766199082,
            -0.0773494616,
            -0.0780790076,
            -0.078808561,
            -0.0795381069,
            -0.0802676603,
            -0.0809972063,
            -0.0817267597,
            -0.0824563056,
            -0.083185859,
            -0.083915405,
            -0.0846449584,
            -0.0853745043,
            -0.0861040577,
            -0.0868336037,
            -0.0875631571,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0888384283,
            -0.0895679817,
            -0.0902975276,
            -0.091027081,
            -0.091756627,
            -0.0924861804,
            -0.0932157263,
            -0.0939452797,
            -0.0946748257,
            -0.0954043791,
            -0.096133925,
            -0.0968634784,
            -0.0975930244,
            -0.0983225778,
            -0.0990521237,
            -0.0997816771,
            -0.100511223,
            -0.101240769,
            -0.101970315,
            -0.102699868,
            -0.103429414,
            -0.10415896,
            -0.104888506,
            -0.10561806,
            -0.106347606,
            -0.107077152,
            -0.107806697,
            -0.108536243,
            -0.109265797,
            -0.109995343,
            -0.110724889,
            -0.111454442,
            -0.111345291,
            -0.110615745,
            -0.109886199,
            -0.109156653,
            -0.1084271,
            -0.107697554,
            -0.106968008,
            -0.106238462,
            -0.105508909,
            -0.104779363,
            -0.104049817,
            -0.103320271,
            -0.102590717,
            -0.101861171,
            -0.101131625,
            -0.10040208,
            -0.0996725261,
            -0.0989429802,
            -0.0982134268,
            -0.0974838808,
            -0.0967543274,
            -0.0960247815,
            -0.0952952281,
            -0.0945656821,
            -0.0938361287,
            -0.0931065828,
            -0.0923770294,
            -0.0916474834,
            -0.09091793,
            -0.0901883841,
            -0.0894588381,
            -0.0887292847,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.088378869,
            -0.0891084224,
            -0.0898379683,
            -0.0905675218,
            -0.0912970677,
            -0.0920266211,
            -0.0927561671,
            -0.0934857205,
            -0.0942152664,
            -0.0949448198,
            -0.0956743658,
            -0.0964039192,
            -0.0971334651,
            -0.0978630185,
            -0.0985925645,
            -0.0993221179,
            -0.100103363,
            -0.101562463,
            -0.103021562,
            -0.104480661,
            -0.105939761,
            -0.10739886,
            -0.10885796,
            -0.110317059,
            -0.111776158,
            -0.113235258,
            -0.114694357,
            -0.116153456,
            -0.117612556,
            -0.119071655,
            -0.120530754,
            -0.121989854,
            -0.123448953,
            -0.125827163,
            -0.128259003,
            -0.130690843,
            -0.133122668,
            -0.135554507,
            -0.137986332,
            -0.140418172,
            -0.142850012,
            -0.145281836,
            -0.147713676,
            -0.150145501,
            -0.152577341,
            -0.15500918,
            -0.157441005,
            -0.159872845,
            -0.16230467,
            -0.163939938,
            -0.165399045,
            -0.166858137,
            -0.168317243,
            -0.169776335,
            -0.171235442,
            -0.172694534,
            -0.174153641,
            -0.175612733,
            -0.17707184,
            -0.178530931,
            -0.179990038,
            -0.18144913,
            -0.182908237,
            -0.184367329,
            -0.185826421,
            -0.18745403,
            -0.189156309,
            -0.190858603,
            -0.192560881,
            -0.19426316,
            -0.195965439,
            -0.197667733,
            -0.199370012,
            -0.201072291,
            -0.202774569,
            -0.204476863,
            -0.206179142,
            -0.207881421,
            -0.2095837,
            -0.211285979,
            -0.212988272,
            -0.214552686,
            -0.216011778,
            -0.217470884,
            -0.218929976,
            -0.220389083,
            -0.221848175,
            -0.223307282,
            -0.224766374,
            -0.22622548,
            -0.227684572,
            -0.229143679,
            -0.230602771,
            -0.232061878,
            -0.23352097,
            -0.234980077,
            -0.236439168,
            -0.237898275,
            -0.239357367,
            -0.240816474,
            -0.242275581,
            -0.243734673,
            -0.245193779,
            -0.246652871,
            -0.248111978,
            -0.249571085,
            -0.251030177,
            -0.252489269,
            -0.25394839,
            -0.255407482,
            -0.256866574,
            -0.258325696,
            -0.259784788,
            -0.261090696,
            -0.262063444,
            -0.263036162,
            -0.26400888,
            -0.264981627,
            -0.265954345,
            -0.266927093,
            -0.267899811,
            -0.268872559,
            -0.269845277,
            -0.270817995,
            -0.271790743,
            -0.272763461,
            -0.273736209,
            -0.274708927,
            -0.275681674,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.275681674,
            -0.274708927,
            -0.273736209,
            -0.272763461,
            -0.271790743,
            -0.270817995,
            -0.269845277,
            -0.268872559,
            -0.267899811,
            -0.266927093,
            -0.265954345,
            -0.264981627,
            -0.26400888,
            -0.263036162,
            -0.262063444,
            -0.261090696,
            -0.260284543,
            -0.259555012,
            -0.258825451,
            -0.25809589,
            -0.257366359,
            -0.256636798,
            -0.255907238,
            -0.255177706,
            -0.254448146,
            -0.253718585,
            -0.252989054,
            -0.252259493,
            -0.251529932,
            -0.250800401,
            -0.25007084,
            -0.249341279,
            -0.248611733,
            -0.247882187,
            -0.247152641,
            -0.246423081,
            -0.245693535,
            -0.244963989,
            -0.244234443,
            -0.243504882,
            -0.242775336,
            -0.24204579,
            -0.241316244,
            -0.240586683,
            -0.239857137,
            -0.239127591,
            -0.238398045,
            -0.237668484,
            -0.236622989,
            -0.235163897,
            -0.23370479,
            -0.232245699,
            -0.230786592,
            -0.2293275,
            -0.227868393,
            -0.226409301,
            -0.224950194,
            -0.223491102,
            -0.222032011,
            -0.220572904,
            -0.219113797,
            -0.217654705,
            -0.216195613,
            -0.214736506,
            -0.213426769,
            -0.212454036,
            -0.211481303,
            -0.21050857,
            -0.209535837,
            -0.208563104,
            -0.207590371,
            -0.206617638,
            -0.205644906,
            -0.204672173,
            -0.20369944,
            -0.202726707,
            -0.201753974,
            -0.200781241,
            -0.199808508,
            -0.198835775,
            -0.197907075,
            -0.197177529,
            -0.196447983,
            -0.195718437,
            -0.194988877,
            -0.194259331,
            -0.193529785,
            -0.192800239,
            -0.192070678,
            -0.191341132,
            -0.190611586,
            -0.18988204,
            -0.189152479,
            -0.188422933,
            -0.187693387,
            -0.186963841,
            -0.18623428,
            -0.185504735,
            -0.184775189,
            -0.184045643,
            -0.183316082,
            -0.182586536,
            -0.18185699,
            -0.181127444,
            -0.180397898,
            -0.179668337,
            -0.178938791,
            -0.178209245,
            -0.177479684,
            -0.176750138,
            -0.176020592,
            -0.175291047,
            -0.174561501,
            -0.17383194,
            -0.173102394,
            -0.172372848,
            -0.171643302,
            -0.170913741,
            -0.170184195,
            -0.169454649,
            -0.168725103,
            -0.167995542,
            -0.167265996,
            -0.16653645,
            -0.165806904,
            -0.165077344,
            -0.164347798,
            -0.163618252,
            -0.162888706,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.163239121,
            -0.163968667,
            -0.164698213,
            -0.165427759,
            -0.166157305,
            -0.166886866,
            -0.167616412,
            -0.168345958,
            -0.169075504,
            -0.169805065,
            -0.170534611,
            -0.171264157,
            -0.171993703,
            -0.172723264,
            -0.173452809,
            -0.174182355,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174383417,
            -0.173653871,
            -0.17292431,
            -0.172194764,
            -0.171465218,
            -0.170735672,
            -0.170006111,
            -0.169276565,
            -0.168547019,
            -0.167817473,
            -0.167087913,
            -0.166358367,
            -0.165628821,
            -0.164899275,
            -0.164169714,
            -0.163440168,
            -0.162676156,
            -0.161217049,
            -0.159757957,
            -0.15829885,
            -0.156839758,
            -0.155380666,
            -0.153921559,
            -0.152462453,
            -0.151003361,
            -0.149544269,
            -0.148085162,
            -0.146626055,
            -0.145166963,
            -0.143707871,
            -0.142248765,
            -0.140789673,
            -0.139330566,
            -0.136975333,
            -0.134543493,
            -0.132111654,
            -0.129679829,
            -0.127247989,
            -0.124816157,
            -0.122384325,
            -0.119952492,
            -0.11752066,
            -0.11508882,
            -0.112656988,
            -0.110225156,
            -0.107793316,
            -0.105361491,
            -0.102929652,
            -0.100497819,
            -0.0980659872,
            -0.095634155,
            -0.0932023227,
            -0.0907704905,
            -0.0883386582,
            -0.085906826,
            -0.0834749937,
            -0.0810431615,
            -0.0786113292,
            -0.0761795044,
            -0.0737476647,
            -0.0713158399,
            -0.0688840002,
            -0.0664521754,
            -0.0640203357,
            -0.0615885071,
            -0.0598077178,
            -0.0583486184,
            -0.0568895191,
            -0.0554304197,
            -0.0539713204,
            -0.052512221,
            -0.0510531217,
            -0.0495940223,
            -0.048134923,
            -0.0466758236,
            -0.0452167243,
            -0.0437576249,
            -0.0422985256,
            -0.0408394262,
            -0.0393803269,
            -0.0379212275,
            -0.0364621319,
            -0.0350030325,
            -0.0335439332,
            -0.0320848338,
            -0.0306257345,
            -0.0291666351,
            -0.0277075358,
            -0.0262484364,
            -0.0247893371,
            -0.0233302377,
            -0.0218711384,
            -0.0204120409,
            -0.0189529415,
            -0.0174938422,
            -0.0160347428,
            -0.0145756435,
            -0.0130150579,
            -0.0113127753,
            -0.00961049367,
            -0.00790821109,
            -0.00620592898,
            -0.00450364687,
            -0.00280136429,
            -0.00109908171,
            0.000603200868,
            0.00230548345,
            0.00400776602,
            0.0057100486,
            0.00741232932,
            0.00911461189,
            0.0108168945,
            0.012519177,
            0.0139380647,
            0.0146676144,
            0.015397164,
            0.0161267146,
            0.0168562643,
            0.017585814,
            0.0183153637,
            0.0190449134,
            0.0197744612,
            0.0205040108,
            0.0212335605,
            0.0219631102,
            0.0226926599,
            0.0234222095,
            0.0241517592,
            0.0248813089,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0255189463,
            0.026248496,
            0.0269780457,
            0.0277075954,
            0.0284371451,
            0.0291666947,
            0.0298962444,
            0.0306257941,
            0.0313553438,
            0.0320848934,
            0.0328144431,
            0.0335439928,
            0.0342735425,
            0.0350030921,
            0.0357326418,
            0.0364621915,
            0.0371917412,
            0.0385876484,
            0.0400467478,
            0.0415058471,
            0.0429649465,
            0.0444240458,
            0.0458831452,
            0.0473422445,
            0.0488013439,
            0.0502604432,
            0.0517195426,
            0.0531786419,
            0.0546377413,
            0.0560968406,
            0.05755594,
            0.0590150394,
            0.060474135,
            0.0615502708,
            0.0625230074,
            0.0634957403,
            0.0644684732,
            0.0654412061,
            0.066413939,
            0.0673866719,
            0.0683593974,
            0.0693321377,
            0.0703048632,
            0.0712775961,
            0.072250329,
            0.0732230619,
            0.0741957948,
            0.0751685277,
            0.0761412606,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0765855014,
            0.0773150548,
            0.0780446008,
            0.0787741542,
            0.0795037001,
            0.0802332535,
            0.0809627995,
            0.0816923529,
            0.0824218988,
            0.0831514522,
            0.0838809982,
            0.0846105516,
            0.0853400975,
            0.0860696509,
            0.0867991969,
            0.0875287503,
            0.0882812738,
            0.0897403732,
            0.0911994725,
            0.0926585719,
            0.0941176713,
            0.0955767706,
            0.09703587,
            0.0984949693,
            0.0999540687,
            0.101413168,
            0.102872267,
            0.104331367,
            0.105790466,
            0.107249565,
            0.108708665,
            0.110167764,
            0.111626863,
            0.113306165,
            0.115008451,
            0.11671073,
            0.118413016,
            0.120115295,
            0.121817574,
            0.12351986,
            0.125222147,
            0.126924425,
            0.128626704,
            0.130328983,
            0.132031277,
            0.133733556,
            0.135435835,
            0.137138113,
            0.138840407,
            0.139784411,
            0.140513957,
            0.141243517,
            0.141973063,
            0.142702609,
            0.143432155,
            0.144161716,
            0.144891262,
            0.145620808,
            0.146350354,
            0.147079915,
            0.147809461,
            0.148539007,
            0.149268553,
            0.149998099,
            0.150727659,
            0.151457205,
            0.152186766,
            0.152916312,
            0.153645873,
            0.154375419,
            0.15510498,
            0.155834526,
            0.156564087,
            0.157293633,
            0.158023193,
            0.158752739,
            0.1594823,
            0.160211846,
            0.160941407,
            0.161670953,
            0.162400514,
            0.16313006,
            0.163859606,
            0.164589152,
            0.165318698,
            0.166048244,
            0.16677779,
            0.167507336,
            0.168236881,
            0.168966427,
            0.169695973,
            0.170425519,
            0.171155065,
            0.171884611,
            0.172614157,
            0.173343703,
            0.174073249,
            0.175193414,
            0.176895708,
            0.178597987,
            0.18030028,
            0.182002559,
            0.183704853,
            0.185407132,
            0.187109426,
            0.188811705,
            0.190513998,
            0.192216277,
            0.193918571,
            0.19562085,
            0.197323143,
            0.199025422,
            0.200727701,
            0.202161923,
            0.202891469,
            0.203621015,
            0.204350561,
            0.205080107,
            0.205809653,
            0.206539199,
            0.207268745,
            0.207998291,
            0.208727837,
            0.209457383,
            0.210186929,
            0.210916474,
            0.21164602,
            0.212375566,
            0.213105112,
            0.213834658,
            0.214564204,
            0.21529375,
            0.216023296,
            0.216752857,
            0.217482403,
            0.218211949,
            0.218941495,
            0.219671056,
            0.220400602,
            0.221130148,
            0.221859694,
            0.222589254,
            0.2233188,
            0.224048346,
            0.224777892,
            0.225472972,
            0.224743426,
            0.22401388,
            0.223284334,
            0.222554773,
            0.221825227,
            0.221095681,
            0.220366135,
            0.219636589,
            0.218907028,
            0.218177482,
            0.217447937,
            0.216718391,
            0.21598883,
            0.215259284,
            0.214529738,
            0.213800192,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.213725507,
            0.214288473,
            0.215018019,
            0.215747565,
            0.216477111,
            0.217206672,
            0.217936218,
            0.218665764,
            0.21939531,
            0.220124871,
            0.220854416,
            0.221583962,
            0.222313508,
            0.223043054,
            0.223772615,
            0.224502161,
            0.225231707,
            0.225961253,
            0.226690814,
            0.22742036,
            0.228149906,
            0.228879452,
            0.229609013,
            0.230338559,
            0.231068105,
            0.23179765,
            0.232527211,
            0.233256757,
            0.233986303,
            0.234715849,
            0.23544541,
            0.236174956,
            0.236904502,
            0.237634048,
            0.238363609,
            0.239093155,
            0.239822701,
            0.240552247,
            0.241281807,
            0.242011353,
            0.242740899,
            0.243470445,
            0.244200006,
            0.244929552,
            0.245659098,
            0.246388644,
            0.247118205,
            0.247847751,
            0.248577297,
            0.249306843,
            0.250036389,
            0.250765949,
            0.25149551,
            0.252225071,
            0.252954602,
            0.253684163,
            0.254413724,
            0.255143285,
            0.255872816,
            0.256602377,
            0.257331938,
            0.258061498,
            0.258791029,
            0.25952059,
            0.260250151,
            0.261240125,
            0.262942404,
            0.264644682,
            0.266346961,
            0.26804924,
            0.269751519,
            0.271453798,
            0.273156106,
            0.274858385,
            0.276560664,
            0.278262943,
            0.279965222,
            0.281667501,
            0.28336978,
            0.285072058,
            0.286774337,
            0.28833878,
            0.289068311,
            0.289797872,
            0.290527403,
            0.291256964,
            0.291986525,
            0.292716056,
            0.293445617,
            0.294175178,
            0.294904709,
            0.29563427,
            0.296363801,
            0.297093362,
            0.297822922,
            0.298552454,
            0.299282014,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.299442858,
            0.298713297,
            0.297983766,
            0.297254205,
            0.296524644,
            0.295795113,
            0.295065552,
            0.294336021,
            0.29360646,
            0.292876899,
            0.292147368,
            0.291417807,
            0.290688276,
            0.289958715,
            0.289229155,
            0.288499624,
            0.287770063,
            0.287040532,
            0.286310971,
            0.28558144,
            0.284851879,
            0.284122348,
            0.283392787,
            0.282663256,
            0.281933695,
            0.281204164,
            0.280474603,
            0.279745072,
            0.279015511,
            0.27828598,
            0.277556419,
            0.276826888,
            0.276844114,
            0.277573645,
            0.278303206,
            0.279032737,
            0.279762298,
            0.280491829,
            0.28122139,
            0.281950921,
            0.282680482,
            0.283410013,
            0.284139574,
            0.284869105,
            0.285598665,
            0.286328197,
            0.287057757,
            0.287787288,
            0.288516849,
            0.28924641,
            0.289975941,
            0.290705502,
            0.291435033,
            0.292164594,
            0.292894155,
            0.293623686,
            0.294353247,
            0.295082808,
            0.295812339,
            0.296541899,
            0.29727143,
            0.298000991,
            0.298730552,
            0.299460083,
            0.300189644,
            0.300919175,
            0.301648736,
            0.302378297,
            0.303107828,
            0.303837389,
            0.30456695,
            0.305296481,
            0.306026042,
            0.306755573,
            0.307485133,
            0.308214694,
            0.308944225,
            0.309673786,
            0.310403347,
            0.311132878,
            0.311992645,
            0.313694924,
            0.315397203,
            0.317099482,
            0.318801761,
            0.32050404,
            0.322206348,
            0.323908627,
            0.325610906,
            0.327313185,
            0.329015464,
            0.330717742,
            0.332420021,
            0.3341223,
            0.335824609,
            0.337526888,
            0.339221507,
            0.339951038,
            0.340680599,
            0.34141016,
            0.342139691,
            0.342869252,
            0.343598783,
            0.344328344,
            0.345057905,
            0.345787436,
            0.346516997,
            0.347246557,
            0.347976089,
            0.348705649,
            0.34943518,
            0.350164741,
            0.350894302,
            0.352267236,
            0.353726327,
            0.355185419,
            0.356644511,
            0.358103633,
            0.359562725,
            0.361021817,
            0.362480909,
            0.36394003,
            0.365399122,
            0.366858214,
            0.368317306,
            0.369776428,
            0.37123552,
            0.372694612,
            0.374153703,
            0.375796646,
            0.377498925,
            0.379201204,
            0.380903482,
            0.382605761,
            0.38430804,
            0.386010319,
            0.387712598,
            0.389414907,
            0.391117185,
            0.392819464,
            0.394521743,
            0.396224022,
            0.397926301,
            0.39962858,
            0.401330858,
            0.403339535,
            0.405528188,
            0.407716811,
            0.409905463,
            0.412094116,
            0.414282769,
            0.416471422,
            0.418660074,
            0.420848727,
            0.42303735,
            0.425226003,
            0.427414656,
            0.429603308,
            0.431791961,
            0.433980614,
            0.436169267,
            0.437990248,
            0.43944937,
            0.440908462,
            0.442367554,
            0.443826646,
            0.445285767,
            0.446744859,
            0.448203951,
            0.449663043,
            0.451122165,
            0.452581257,
            0.454040349,
            0.45549944,
            0.456958562,
            0.458417654,
            0.459876746,
            0.461427748,
            0.463130027,
            0.464832336,
            0.466534615,
            0.468236893,
            0.469939172,
            0.471641451,
            0.47334373,
            0.475046009,
            0.476748288,
            0.478450596,
            0.480152875,
            0.481855154,
            0.483557433,
            0.485259712,
            0.486961991,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354
          ],
          [
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.486747533,
            0.485045254,
            0.483342975,
            0.481640697,
            0.479938418,
            0.478236109,
            0.47653383,
            0.474831551,
            0.473129272,
            0.471426994,
            0.469724715,
            0.468022436,
            0.466320157,
            0.464617848,
            0.46291557,
            0.461213291,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460330576,
            0.459601015,
            0.458871454,
            0.458141923,
            0.457412362,
            0.456682801,
            0.45595327,
            0.455223709,
            0.454494178,
            0.453764617,
            0.453035057,
            0.452305526,
            0.451575965,
            0.450846404,
            0.450116873,
            0.449387312,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.448749691,
            0.44802013,
            0.44729057,
            0.446561038,
            0.445831478,
            0.445101917,
            0.444372386,
            0.443642825,
            0.442913294,
            0.442183733,
            0.441454172,
            0.440724641,
            0.43999508,
            0.439265549,
            0.438535988,
            0.437806427,
            0.437076896,
            0.436347336,
            0.435617775,
            0.434888244,
            0.434158683,
            0.433429152,
            0.432699591,
            0.43197003,
            0.431240499,
            0.430510938,
            0.429781377,
            0.429051846,
            0.428322285,
            0.427592754,
            0.426863194,
            0.426133633,
            0.425404102,
            0.424674541,
            0.42394498,
            0.423215419,
            0.422485888,
            0.421756327,
            0.421026766,
            0.420297205,
            0.419567674,
            0.418838114,
            0.418108553,
            0.417379022,
            0.416649461,
            0.4159199,
            0.415190339,
            0.414460778,
            0.413731247,
            0.412036628,
            0.410334349,
            0.40863207,
            0.406929791,
            0.405227512,
            0.403525233,
            0.401822954,
            0.400120676,
            0.398418397,
            0.396716118,
            0.395013839,
            0.39331156,
            0.391609281,
            0.389907002,
            0.388204724,
            0.386502445,
            0.385642678,
            0.384913146,
            0.384183586,
            0.383454025,
            0.382724494,
            0.381994933,
            0.381265372,
            0.380535841,
            0.37980628,
            0.379076749,
            0.378347188,
            0.377617627,
            0.376888096,
            0.376158535,
            0.375428975,
            0.374699444,
            0.373969883,
            0.373240352,
            0.372510791,
            0.37178123,
            0.371051699,
            0.370322138,
            0.369592607,
            0.368863046,
            0.368133485,
            0.367403954,
            0.366674393,
            0.365944833,
            0.365215302,
            0.364485741,
            0.36375618,
            0.363026649,
            0.362297088,
            0.361567557,
            0.360837996,
            0.360108435,
            0.359378904,
            0.358649343,
            0.357919812,
            0.357190251,
            0.35646069,
            0.355731159,
            0.355001599,
            0.354272038,
            0.353542507,
            0.352812946,
            0.352083415,
            0.351353854,
            0.351336628,
            0.352066159,
            0.35279572,
            0.353525281,
            0.354254812,
            0.354984373,
            0.355713904,
            0.356443465,
            0.357173026,
            0.357902557,
            0.358632118,
            0.359361678,
            0.360091209,
            0.36082077,
            0.361550301,
            0.362279862,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362027109,
            0.361297548,
            0.360568017,
            0.359838456,
            0.359108895,
            0.358379364,
            0.357649803,
            0.356920272,
            0.356190711,
            0.35546115,
            0.354731619,
            0.354002059,
            0.353272498,
            0.352542967,
            0.351813406,
            0.351083875,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350446224,
            0.349716663,
            0.348987132,
            0.348257571,
            0.347528011,
            0.34679848,
            0.346068919,
            0.345339388,
            0.344609827,
            0.343880266,
            0.343150735,
            0.342421174,
            0.341691613,
            0.340962082,
            0.340232521,
            0.33950299,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.338748544,
            0.337775797,
            0.336803079,
            0.335830331,
            0.334857613,
            0.333884865,
            0.332912147,
            0.331939399,
            0.330966681,
            0.329993933,
            0.329021215,
            0.328048468,
            0.32707575,
            0.326103002,
            0.325130284,
            0.324157536,
            0.323270977,
            0.322541416,
            0.321811885,
            0.321082324,
            0.320352793,
            0.319623232,
            0.318893671,
            0.31816414,
            0.317434579,
            0.316705048,
            0.315975487,
            0.315245926,
            0.314516395,
            0.313786834,
            0.313057274,
            0.312327743,
            0.311598182,
            0.310868651,
            0.31013909,
            0.309409529,
            0.308679998,
            0.307950437,
            0.307220876,
            0.306491345,
            0.305761784,
            0.305032253,
            0.304302692,
            0.303573132,
            0.302843601,
            0.30211404,
            0.301384479,
            0.300654948,
            0.299850702,
            0.29839161,
            0.296932518,
            0.295473427,
            0.294014335,
            0.292555243,
            0.291096151,
            0.289637059,
            0.288177937,
            0.286718845,
            0.285259753,
            0.283800662,
            0.28234157,
            0.280882478,
            0.279423386,
            0.277964294,
            0.276505172,
            0.274808645,
            0.273106366,
            0.271404058,
            0.269701779,
            0.26799947,
            0.266297191,
            0.264594913,
            0.262892604,
            0.261190325,
            0.259488046,
            0.257785738,
            0.256083459,
            0.25438118,
            0.252678871,
            0.250976592,
            0.249274299,
            0.247158408,
            0.244969755,
            0.242781118,
            0.240592465,
            0.238403812,
            0.236215159,
            0.234026521,
            0.231837869,
            0.229649216,
            0.227460563,
            0.225271925,
            0.223083273,
            0.22089462,
            0.218705982,
            0.216517329,
            0.214328676,
            0.212492362,
            0.210790068,
            0.209087789,
            0.20738551,
            0.205683231,
            0.203980953,
            0.202278659,
            0.20057638,
            0.198874101,
            0.197171822,
            0.195469528,
            0.19376725,
            0.192064971,
            0.190362692,
            0.188660398,
            0.186958119,
            0.185837954,
            0.185108393,
            0.184378847,
            0.183649302,
            0.182919756,
            0.182190195,
            0.181460649,
            0.180731103,
            0.180001557,
            0.179271996,
            0.17854245,
            0.177812904,
            0.177083358,
            0.176353797,
            0.175624251,
            0.174894705,
            0.174165159,
            0.173435614,
            0.172706068,
            0.171976522,
            0.171246976,
            0.17051743,
            0.169787884,
            0.169058338,
            0.168328792,
            0.167599246,
            0.1668697,
            0.166140154,
            0.165410608,
            0.164681062,
            0.163951516,
            0.16322197,
            0.161902651,
            0.159470811,
            0.157038987,
            0.154607147,
            0.152175307,
            0.149743468,
            0.147311643,
            0.144879803,
            0.142447963,
            0.140016139,
            0.137584299,
            0.135152459,
            0.132720619,
            0.13028878,
            0.127856955,
            0.125425115,
            0.12320774,
            0.121748641,
            0.120289542,
            0.118830442,
            0.117371343,
            0.115912244,
            0.114453152,
            0.112994045,
            0.111534953,
            0.110075846,
            0.108616754,
            0.107157648,
            0.105698556,
            0.104239456,
            0.102780357,
            0.101321258,
            0.0999310911,
            0.0992015377,
            0.0984719917,
            0.0977424383,
            0.0970128924,
            0.096283339,
            0.095553793,
            0.0948242396,
            0.0940946937,
            0.0933651403,
            0.0926355943,
            0.0919060409,
            0.091176495,
            0.090446949,
            0.0897173956,
            0.0889878422,
            0.0882582963,
            0.0875287503,
            0.0867991969,
            0.0860696509,
            0.0853400975,
            0.0846105516,
            0.0838809982,
            0.0831514522,
            0.0824218988,
            0.0816923529,
            0.0809627995,
            0.0802332535,
            0.0795037001,
            0.0787741542,
            0.0780446008,
            0.0773150548,
            0.0765855014,
            0.0756510645,
            0.0746783316,
            0.0737055987,
            0.0727328658,
            0.0717601329,
            0.0707874,
            0.0698146671,
            0.0688419342,
            0.0678692013,
            0.0668964684,
            0.0659237355,
            0.0649510026,
            0.0639782697,
            0.0630055368,
            0.0620328076,
            0.0610600747,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0611136891,
            0.062086422,
            0.0630591586,
            0.0640318915,
            0.0650046244,
            0.0659773573,
            0.0669500902,
            0.0679228231,
            0.0688955486,
            0.0698682815,
            0.0708410144,
            0.0718137473,
            0.0727864802,
            0.0737592131,
            0.074731946,
            0.0757046789,
            0.0762638152,
            0.0752910823,
            0.0743183494,
            0.0733456165,
            0.0723728836,
            0.0714001507,
            0.0704274178,
            0.0694546849,
            0.068481952,
            0.0675092191,
            0.0665364861,
            0.0655637532,
            0.0645910203,
            0.0636182874,
            0.0626455545,
            0.0616728216,
            0.0607211515,
            0.0599916019,
            0.0592620522,
            0.0585325025,
            0.0578029528,
            0.0570734031,
            0.0563438535,
            0.0556143038,
            0.0548847541,
            0.0541552044,
            0.0534256548,
            0.0526961051,
            0.0519665554,
            0.0512370057,
            0.0505074561,
            0.0497779064,
            0.0490483567,
            0.0476179793,
            0.04615888,
            0.0446997806,
            0.0432406813,
            0.0417815819,
            0.0403224826,
            0.0388633832,
            0.0374042839,
            0.0359451883,
            0.0344860889,
            0.0330269895,
            0.0315678902,
            0.0301087908,
            0.0286496915,
            0.0271905921,
            0.0257314928,
            0.0242723934,
            0.0228132941,
            0.0213541947,
            0.0198950954,
            0.018435996,
            0.0169768967,
            0.0155177983,
            0.0140586989,
            0.0125996005,
            0.0111405011,
            0.00968140177,
            0.00822230242,
            0.00676320307,
            0.00530410372,
            0.00384500436,
            0.00238590501,
            0.000754472101,
            -0.000947810244,
            -0.00265009236,
            -0.00435237493,
            -0.00605465751,
            -0.00775694009,
            -0.00945922174,
            -0.0111615043,
            -0.0128637869,
            -0.0145660695,
            -0.016268352,
            -0.0179706346,
            -0.0196729172,
            -0.0213751979,
            -0.0230774805,
            -0.0247797631,
            -0.0259152558,
            -0.0266448054,
            -0.0273743551,
            -0.0281039048,
            -0.0288334545,
            -0.0295630042,
            -0.0302925538,
            -0.0310221035,
            -0.031751655,
            -0.032481201,
            -0.0332107544,
            -0.0339403003,
            -0.0346698537,
            -0.0353993997,
            -0.0361289531,
            -0.0368584991,
            -0.0375880487,
            -0.0383175984,
            -0.0390471481,
            -0.0397766978,
            -0.0405062474,
            -0.0412357971,
            -0.0419653468,
            -0.0426948965,
            -0.0434244461,
            -0.0441539958,
            -0.0448835455,
            -0.0456130952,
            -0.0463426448,
            -0.0470721945,
            -0.0478017442,
            -0.0485312939,
            -0.0495825335,
            -0.0512848161,
            -0.0529870987,
            -0.0546893813,
            -0.0563916638,
            -0.0580939464,
            -0.059796229,
            -0.0614985116,
            -0.0632007942,
            -0.0649030805,
            -0.0666053593,
            -0.0683076382,
            -0.0700099245,
            -0.0717122033,
            -0.0734144896,
            -0.0751167685,
            -0.0766199082,
            -0.0773494616,
            -0.0780790076,
            -0.078808561,
            -0.0795381069,
            -0.0802676603,
            -0.0809972063,
            -0.0817267597,
            -0.0824563056,
            -0.083185859,
            -0.083915405,
            -0.0846449584,
            -0.0853745043,
            -0.0861040577,
            -0.0868336037,
            -0.0875631571,
            -0.088292703,
            -0.0890222564,
            -0.0897518024,
            -0.0904813558,
            -0.0912109017,
            -0.0919404551,
            -0.0926700011,
            -0.0933995545,
            -0.0941291004,
            -0.0948586464,
            -0.0955881998,
            -0.0963177532,
            -0.0970472991,
            -0.0977768451,
            -0.0985063985,
            -0.0992359519,
            -0.0999654979,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100603133,
            -0.101332679,
            -0.102062225,
            -0.102791779,
            -0.103521325,
            -0.104250871,
            -0.104980417,
            -0.10570997,
            -0.106439516,
            -0.107169062,
            -0.107898608,
            -0.108628161,
            -0.109357707,
            -0.110087253,
            -0.110816799,
            -0.111546353,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111345291,
            -0.110615745,
            -0.109886199,
            -0.109156653,
            -0.1084271,
            -0.107697554,
            -0.106968008,
            -0.106238462,
            -0.105508909,
            -0.104779363,
            -0.104049817,
            -0.103320271,
            -0.102590717,
            -0.101861171,
            -0.101131625,
            -0.10040208,
            -0.0996725261,
            -0.0989429802,
            -0.0982134268,
            -0.0974838808,
            -0.0967543274,
            -0.0960247815,
            -0.0952952281,
            -0.0945656821,
            -0.0938361287,
            -0.0931065828,
            -0.0923770294,
            -0.0916474834,
            -0.09091793,
            -0.0901883841,
            -0.0894588381,
            -0.0887292847,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.088378869,
            -0.0891084224,
            -0.0898379683,
            -0.0905675218,
            -0.0912970677,
            -0.0920266211,
            -0.0927561671,
            -0.0934857205,
            -0.0942152664,
            -0.0949448198,
            -0.0956743658,
            -0.0964039192,
            -0.0971334651,
            -0.0978630185,
            -0.0985925645,
            -0.0993221179,
            -0.100103363,
            -0.101562463,
            -0.103021562,
            -0.104480661,
            -0.105939761,
            -0.10739886,
            -0.10885796,
            -0.110317059,
            -0.111776158,
            -0.113235258,
            -0.114694357,
            -0.116153456,
            -0.117612556,
            -0.119071655,
            -0.120530754,
            -0.121989854,
            -0.123448953,
            -0.125827163,
            -0.128259003,
            -0.130690843,
            -0.133122668,
            -0.135554507,
            -0.137986332,
            -0.140418172,
            -0.142850012,
            -0.145281836,
            -0.147713676,
            -0.150145501,
            -0.152577341,
            -0.15500918,
            -0.157441005,
            -0.159872845,
            -0.16230467,
            -0.163939938,
            -0.165399045,
            -0.166858137,
            -0.168317243,
            -0.169776335,
            -0.171235442,
            -0.172694534,
            -0.174153641,
            -0.175612733,
            -0.17707184,
            -0.178530931,
            -0.179990038,
            -0.18144913,
            -0.182908237,
            -0.184367329,
            -0.185826421,
            -0.18745403,
            -0.189156309,
            -0.190858603,
            -0.192560881,
            -0.19426316,
            -0.195965439,
            -0.197667733,
            -0.199370012,
            -0.201072291,
            -0.202774569,
            -0.204476863,
            -0.206179142,
            -0.207881421,
            -0.2095837,
            -0.211285979,
            -0.212988272,
            -0.214552686,
            -0.216011778,
            -0.217470884,
            -0.218929976,
            -0.220389083,
            -0.221848175,
            -0.223307282,
            -0.224766374,
            -0.22622548,
            -0.227684572,
            -0.229143679,
            -0.230602771,
            -0.232061878,
            -0.23352097,
            -0.234980077,
            -0.236439168,
            -0.237576574,
            -0.238306135,
            -0.239035681,
            -0.239765227,
            -0.240494773,
            -0.241224334,
            -0.24195388,
            -0.242683426,
            -0.243412971,
            -0.244142532,
            -0.244872078,
            -0.245601624,
            -0.24633117,
            -0.247060716,
            -0.247790277,
            -0.248519823,
            -0.249555752,
            -0.251258016,
            -0.252960324,
            -0.254662603,
            -0.256364882,
            -0.258067161,
            -0.25976944,
            -0.261471719,
            -0.263173997,
            -0.264876276,
            -0.266578555,
            -0.268280864,
            -0.269983143,
            -0.271685421,
            -0.2733877,
            -0.275089979,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.275559127,
            -0.27458638,
            -0.273613662,
            -0.272640914,
            -0.271668196,
            -0.270695448,
            -0.26972273,
            -0.268750012,
            -0.267777264,
            -0.266804546,
            -0.265831798,
            -0.26485908,
            -0.263886333,
            -0.262913615,
            -0.261940897,
            -0.260968149,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260376483,
            -0.259646922,
            -0.258917361,
            -0.258187801,
            -0.25745827,
            -0.256728709,
            -0.255999148,
            -0.255269617,
            -0.254540056,
            -0.253810495,
            -0.253080964,
            -0.252351403,
            -0.251621842,
            -0.250892311,
            -0.25016275,
            -0.24943319,
            -0.248387694,
            -0.246928602,
            -0.245469496,
            -0.244010404,
            -0.242551297,
            -0.241092205,
            -0.239633098,
            -0.238174006,
            -0.2367149,
            -0.235255808,
            -0.233796716,
            -0.232337609,
            -0.230878502,
            -0.22941941,
            -0.227960318,
            -0.226501212,
            -0.224967435,
            -0.223265156,
            -0.221562862,
            -0.219860584,
            -0.218158305,
            -0.216456026,
            -0.214753747,
            -0.213051453,
            -0.211349174,
            -0.209646896,
            -0.207944617,
            -0.206242323,
            -0.204540044,
            -0.202837765,
            -0.201135486,
            -0.199433193,
            -0.197907075,
            -0.197177529,
            -0.196447983,
            -0.195718437,
            -0.194988877,
            -0.194259331,
            -0.193529785,
            -0.192800239,
            -0.192070678,
            -0.191341132,
            -0.190611586,
            -0.18988204,
            -0.189152479,
            -0.188422933,
            -0.187693387,
            -0.186963841,
            -0.18623428,
            -0.185504735,
            -0.184775189,
            -0.184045643,
            -0.183316082,
            -0.182586536,
            -0.18185699,
            -0.181127444,
            -0.180397898,
            -0.179668337,
            -0.178938791,
            -0.178209245,
            -0.177479684,
            -0.176750138,
            -0.176020592,
            -0.175291047,
            -0.174561501,
            -0.17383194,
            -0.173102394,
            -0.172372848,
            -0.171643302,
            -0.170913741,
            -0.170184195,
            -0.169454649,
            -0.168725103,
            -0.167995542,
            -0.167265996,
            -0.16653645,
            -0.165806904,
            -0.165077344,
            -0.164347798,
            -0.163618252,
            -0.162888706,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162676156,
            -0.161217049,
            -0.159757957,
            -0.15829885,
            -0.156839758,
            -0.155380666,
            -0.153921559,
            -0.152462453,
            -0.151003361,
            -0.149544269,
            -0.148085162,
            -0.146626055,
            -0.145166963,
            -0.143707871,
            -0.142248765,
            -0.140789673,
            -0.139330566,
            -0.137647435,
            -0.135945141,
            -0.134242862,
            -0.132540569,
            -0.13083829,
            -0.129135996,
            -0.127433717,
            -0.125731423,
            -0.124029145,
            -0.122326851,
            -0.120624572,
            -0.118922286,
            -0.117219999,
            -0.115517713,
            -0.113815427,
            -0.112113141,
            -0.110024065,
            -0.107835412,
            -0.105646767,
            -0.103458121,
            -0.101269476,
            -0.0990808308,
            -0.0968921781,
            -0.0947035328,
            -0.0925148875,
            -0.0903262421,
            -0.0881375968,
            -0.0859489441,
            -0.0837602988,
            -0.0815716535,
            -0.0793830007,
            -0.0771943629,
            -0.0748429522,
            -0.0724111199,
            -0.0699792877,
            -0.0675474554,
            -0.0651156232,
            -0.0626837909,
            -0.0602519587,
            -0.0578201264,
            -0.0553882942,
            -0.0529564619,
            -0.0505246297,
            -0.0480927974,
            -0.0456609651,
            -0.0432291329,
            -0.0407973006,
            -0.0383654721,
            -0.0364621319,
            -0.0350030325,
            -0.0335439332,
            -0.0320848338,
            -0.0306257345,
            -0.0291666351,
            -0.0277075358,
            -0.0262484364,
            -0.0247893371,
            -0.0233302377,
            -0.0218711384,
            -0.0204120409,
            -0.0189529415,
            -0.0174938422,
            -0.0160347428,
            -0.0145756435,
            -0.0130150579,
            -0.0113127753,
            -0.00961049367,
            -0.00790821109,
            -0.00620592898,
            -0.00450364687,
            -0.00280136429,
            -0.00109908171,
            0.000603200868,
            0.00230548345,
            0.00400776602,
            0.0057100486,
            0.00741232932,
            0.00911461189,
            0.0108168945,
            0.012519177,
            0.0139380647,
            0.0146676144,
            0.015397164,
            0.0161267146,
            0.0168562643,
            0.017585814,
            0.0183153637,
            0.0190449134,
            0.0197744612,
            0.0205040108,
            0.0212335605,
            0.0219631102,
            0.0226926599,
            0.0234222095,
            0.0241517592,
            0.0248813089,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0255476683,
            0.0270067677,
            0.028465867,
            0.0299249664,
            0.0313840657,
            0.0328431651,
            0.0343022645,
            0.0357613638,
            0.0372204632,
            0.0386795625,
            0.0401386619,
            0.0415977612,
            0.0430568606,
            0.0445159599,
            0.0459750593,
            0.0474341586,
            0.048893258,
            0.049685996,
            0.0504155457,
            0.0511450954,
            0.0518746451,
            0.0526041947,
            0.0533337444,
            0.0540632941,
            0.0547928438,
            0.0555223897,
            0.0562519431,
            0.0569814891,
            0.0577110425,
            0.0584405884,
            0.0591701418,
            0.0598996878,
            0.0606292374,
            0.0615502708,
            0.0625230074,
            0.0634957403,
            0.0644684732,
            0.0654412061,
            0.066413939,
            0.0673866719,
            0.0683593974,
            0.0693321377,
            0.0703048632,
            0.0712775961,
            0.072250329,
            0.0732230619,
            0.0741957948,
            0.0751685277,
            0.0761412606,
            0.0758272335,
            0.0748545006,
            0.0738817677,
            0.0729090348,
            0.0719363019,
            0.070963569,
            0.0699908361,
            0.0690181032,
            0.0680453703,
            0.0670726374,
            0.0660999045,
            0.0651271716,
            0.0641544387,
            0.0631817058,
            0.0622089729,
            0.06123624,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0609375276,
            0.0619102605,
            0.0628829896,
            0.0638557225,
            0.0648284554,
            0.0658011883,
            0.0667739213,
            0.0677466542,
            0.0687193871,
            0.06969212,
            0.0706648529,
            0.0716375858,
            0.0726103187,
            0.0735830516,
            0.0745557845,
            0.0755285174,
            0.0765165687,
            0.077975668,
            0.0794347674,
            0.0808938667,
            0.0823529661,
            0.0838120654,
            0.0852711648,
            0.0867302641,
            0.0881893635,
            0.0896484628,
            0.0911075622,
            0.0925666615,
            0.0940257609,
            0.0954848602,
            0.0969439596,
            0.0984030589,
            0.0998621583,
            0.100660637,
            0.10139019,
            0.102119736,
            0.10284929,
            0.103578836,
            0.104308389,
            0.105037935,
            0.105767488,
            0.106497034,
            0.107226588,
            0.107956134,
            0.108685687,
            0.109415233,
            0.110144787,
            0.110874332,
            0.111603886,
            0.113091707,
            0.114793986,
            0.116496272,
            0.118198551,
            0.119900838,
            0.121603116,
            0.123305395,
            0.125007689,
            0.126709968,
            0.128412247,
            0.130114526,
            0.131816804,
            0.133519098,
            0.135221377,
            0.136923656,
            0.138625935,
            0.140169293,
            0.141628399,
            0.143087506,
            0.144546598,
            0.146005705,
            0.147464812,
            0.148923919,
            0.150383011,
            0.151842117,
            0.153301224,
            0.154760331,
            0.156219423,
            0.15767853,
            0.159137636,
            0.160596728,
            0.162055835,
            0.16313006,
            0.163859606,
            0.164589152,
            0.165318698,
            0.166048244,
            0.16677779,
            0.167507336,
            0.168236881,
            0.168966427,
            0.169695973,
            0.170425519,
            0.171155065,
            0.171884611,
            0.172614157,
            0.173343703,
            0.174073249,
            0.174802795,
            0.175532341,
            0.176261887,
            0.176991448,
            0.177720994,
            0.17845054,
            0.179180086,
            0.179909647,
            0.180639192,
            0.181368738,
            0.182098284,
            0.18282783,
            0.183557391,
            0.184286937,
            0.185016483,
            0.185746029,
            0.186743662,
            0.188445941,
            0.190148219,
            0.191850513,
            0.193552792,
            0.195255071,
            0.19695735,
            0.198659644,
            0.200361922,
            0.202064201,
            0.20376648,
            0.205468774,
            0.207171053,
            0.208873332,
            0.21057561,
            0.212277889,
            0.213834658,
            0.214564204,
            0.21529375,
            0.216023296,
            0.216752857,
            0.217482403,
            0.218211949,
            0.218941495,
            0.219671056,
            0.220400602,
            0.221130148,
            0.221859694,
            0.222589254,
            0.2233188,
            0.224048346,
            0.224777892,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.225490212,
            0.226053178,
            0.226782724,
            0.22751227,
            0.228241816,
            0.228971377,
            0.229700923,
            0.230430469,
            0.231160015,
            0.231889576,
            0.232619122,
            0.233348668,
            0.234078214,
            0.23480776,
            0.23553732,
            0.236266866,
            0.236996412,
            0.237725958,
            0.238455519,
            0.239185065,
            0.239914611,
            0.240644157,
            0.241373718,
            0.242103264,
            0.24283281,
            0.243562356,
            0.244291916,
            0.245021462,
            0.245751008,
            0.246480554,
            0.247210115,
            0.247939661,
            0.248669207,
            0.249398768,
            0.250128329,
            0.25085786,
            0.251587421,
            0.252316982,
            0.253046513,
            0.253776073,
            0.254505634,
            0.255235195,
            0.255964726,
            0.256694287,
            0.257423848,
            0.258153409,
            0.25888294,
            0.259612501,
            0.260342062,
            0.261167347,
            0.262140095,
            0.263112813,
            0.264085561,
            0.265058309,
            0.266031027,
            0.267003775,
            0.267976522,
            0.26894924,
            0.269921988,
            0.270894706,
            0.271867454,
            0.272840202,
            0.27381292,
            0.274785668,
            0.275758415,
            0.27686134,
            0.278320432,
            0.279779524,
            0.281238645,
            0.282697737,
            0.284156829,
            0.285615921,
            0.287075013,
            0.288534105,
            0.289993197,
            0.291452289,
            0.29291141,
            0.294370502,
            0.295829594,
            0.297288686,
            0.298747778,
            0.300103486,
            0.300833017,
            0.301562577,
            0.302292109,
            0.303021669,
            0.30375123,
            0.304480761,
            0.305210322,
            0.305939883,
            0.306669414,
            0.307398975,
            0.308128506,
            0.308858067,
            0.309587628,
            0.310317159,
            0.31104672,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311207563,
            0.310478002,
            0.309748471,
            0.30901891,
            0.308289349,
            0.307559818,
            0.306830257,
            0.306100726,
            0.305371165,
            0.304641604,
            0.303912073,
            0.303182513,
            0.302452981,
            0.301723421,
            0.30099386,
            0.300264329,
            0.299534768,
            0.298805207,
            0.298075676,
            0.297346115,
            0.296616584,
            0.295887023,
            0.295157462,
            0.294427931,
            0.29369837,
            0.29296881,
            0.292239279,
            0.291509718,
            0.290780187,
            0.290050626,
            0.289321065,
            0.288591534,
            0.28860876,
            0.28933832,
            0.290067852,
            0.290797412,
            0.291526943,
            0.292256504,
            0.292986065,
            0.293715596,
            0.294445157,
            0.295174718,
            0.295904249,
            0.29663381,
            0.297363341,
            0.298092902,
            0.298822463,
            0.299551994,
            0.300281554,
            0.301011115,
            0.301740646,
            0.302470207,
            0.303199738,
            0.303929299,
            0.30465886,
            0.305388391,
            0.306117952,
            0.306847513,
            0.307577044,
            0.308306605,
            0.309036136,
            0.309765697,
            0.310495257,
            0.311224788,
            0.311954349,
            0.31268388,
            0.313413441,
            0.314143002,
            0.314872533,
            0.315602094,
            0.316331655,
            0.317061186,
            0.317790747,
            0.318520278,
            0.319249839,
            0.319979399,
            0.32070893,
            0.321438491,
            0.322168052,
            0.322897583,
            0.323855013,
            0.326286823,
            0.328718662,
            0.331150502,
            0.333582342,
            0.336014152,
            0.338445991,
            0.340877831,
            0.343309671,
            0.345741481,
            0.34817332,
            0.35060516,
            0.353037,
            0.35546881,
            0.357900649,
            0.360332489,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.364889771,
            0.36732161,
            0.36975345,
            0.37218526,
            0.3746171,
            0.377048939,
            0.379480779,
            0.381912589,
            0.384344429,
            0.386776268,
            0.389208078,
            0.391639918,
            0.394071758,
            0.396503597,
            0.398935437,
            0.401367247,
            0.402512312,
            0.403241873,
            0.403971404,
            0.404700965,
            0.405430496,
            0.406160057,
            0.406889588,
            0.407619148,
            0.40834868,
            0.40907824,
            0.409807771,
            0.410537332,
            0.411266863,
            0.411996424,
            0.412725955,
            0.413455516,
            0.415104181,
            0.417292833,
            0.419481486,
            0.421670139,
            0.423858792,
            0.426047444,
            0.428236097,
            0.43042475,
            0.432613403,
            0.434802055,
            0.436990708,
            0.439179361,
            0.441368014,
            0.443556666,
            0.445745319,
            0.447933972,
            0.449877501,
            0.451579809,
            0.453282088,
            0.454984367,
            0.456686646,
            0.458388954,
            0.460091233,
            0.461793512,
            0.463495791,
            0.4651981,
            0.466900378,
            0.468602657,
            0.470304936,
            0.472007245,
            0.473709524,
            0.475411803,
            0.47674644,
            0.477476001,
            0.478205532,
            0.478935093,
            0.479664624,
            0.480394185,
            0.481123716,
            0.481853276,
            0.482582808,
            0.483312368,
            0.484041899,
            0.48477146,
            0.485500991,
            0.486230552,
            0.486960083,
            0.487689644,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354
          ],
          [
            0.488235354,
            0.487505823,
            0.486776263,
            0.486046731,
            0.485317171,
            0.48458764,
            0.483858079,
            0.483128548,
            0.482398987,
            0.481669456,
            0.480939895,
            0.480210364,
            0.479480803,
            0.478751272,
            0.478021711,
            0.47729218,
            0.476562619,
            0.475620508,
            0.47464779,
            0.473675042,
            0.472702324,
            0.471729577,
            0.470756829,
            0.469784111,
            0.468811363,
            0.467838645,
            0.466865897,
            0.465893149,
            0.464920431,
            0.463947684,
            0.462974936,
            0.462002218,
            0.46102947,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460514396,
            0.459784836,
            0.459055275,
            0.458325744,
            0.457596183,
            0.456866622,
            0.456137091,
            0.45540753,
            0.454677999,
            0.453948438,
            0.453218877,
            0.452489346,
            0.451759785,
            0.451030254,
            0.450300694,
            0.449571133,
            0.448841602,
            0.448112041,
            0.44738248,
            0.446652949,
            0.445923388,
            0.445193857,
            0.444464296,
            0.443734735,
            0.443005204,
            0.442275643,
            0.441546082,
            0.440816551,
            0.440086991,
            0.43935746,
            0.438627899,
            0.437898338,
            0.437168807,
            0.436439246,
            0.435709685,
            0.434980154,
            0.434250593,
            0.433521062,
            0.432791501,
            0.43206194,
            0.431332409,
            0.430602849,
            0.429873288,
            0.429143757,
            0.428414196,
            0.427684665,
            0.426955104,
            0.426225543,
            0.425496012,
            0.424042642,
            0.42258355,
            0.421124458,
            0.419665366,
            0.418206245,
            0.416747153,
            0.415288061,
            0.413828969,
            0.412369847,
            0.410910755,
            0.409451663,
            0.407992572,
            0.40653345,
            0.405074358,
            0.403615266,
            0.402156174,
            0.400486439,
            0.398784161,
            0.397081882,
            0.395379573,
            0.393677294,
            0.391975015,
            0.390272737,
            0.388570458,
            0.386868179,
            0.3851659,
            0.383463621,
            0.381761312,
            0.380059034,
            0.378356755,
            0.376654476,
            0.374952197,
            0.373969883,
            0.373240352,
            0.372510791,
            0.37178123,
            0.371051699,
            0.370322138,
            0.369592607,
            0.368863046,
            0.368133485,
            0.367403954,
            0.366674393,
            0.365944833,
            0.365215302,
            0.364485741,
            0.36375618,
            0.363026649,
            0.362297088,
            0.361567557,
            0.360837996,
            0.360108435,
            0.359378904,
            0.358649343,
            0.357919812,
            0.357190251,
            0.35646069,
            0.355731159,
            0.355001599,
            0.354272038,
            0.353542507,
            0.352812946,
            0.352083415,
            0.351353854,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350538135,
            0.349808574,
            0.349079043,
            0.348349482,
            0.347619951,
            0.34689039,
            0.346160829,
            0.345431298,
            0.344701737,
            0.343972176,
            0.343242645,
            0.342513084,
            0.341783553,
            0.341053993,
            0.340324432,
            0.339594901,
            0.338398129,
            0.33669585,
            0.334993571,
            0.333291262,
            0.331588984,
            0.329886705,
            0.328184426,
            0.326482147,
            0.324779868,
            0.323077589,
            0.32137531,
            0.319673032,
            0.317970723,
            0.316268444,
            0.314566165,
            0.312863886,
            0.311506271,
            0.310776711,
            0.310047179,
            0.309317619,
            0.308588088,
            0.307858527,
            0.307128966,
            0.306399435,
            0.305669874,
            0.304940343,
            0.304210782,
            0.303481221,
            0.30275169,
            0.302022129,
            0.301292568,
            0.300563037,
            0.299833477,
            0.299103945,
            0.298374385,
            0.297644824,
            0.296915293,
            0.296185732,
            0.295456171,
            0.29472664,
            0.293997079,
            0.293267548,
            0.292537987,
            0.291808426,
            0.291078895,
            0.290349334,
            0.289619774,
            0.288890243,
            0.288061112,
            0.286358833,
            0.284656554,
            0.282954276,
            0.281251997,
            0.279549718,
            0.277847409,
            0.27614513,
            0.274442852,
            0.272740573,
            0.271038294,
            0.269336015,
            0.267633736,
            0.265931457,
            0.264229178,
            0.26252687,
            0.260824591,
            0.259359747,
            0.257900655,
            0.256441534,
            0.254982442,
            0.25352335,
            0.252064228,
            0.250605136,
            0.249146029,
            0.247686923,
            0.246227831,
            0.244768724,
            0.243309617,
            0.241850525,
            0.240391418,
            0.238932312,
            0.237473205,
            0.236014113,
            0.234555006,
            0.233095914,
            0.231636807,
            0.230177715,
            0.228718609,
            0.227259517,
            0.22580041,
            0.224341318,
            0.222882211,
            0.221423119,
            0.219964013,
            0.218504921,
            0.217045814,
            0.215586722,
            0.214127615,
            0.212492362,
            0.210790068,
            0.209087789,
            0.20738551,
            0.205683231,
            0.203980953,
            0.202278659,
            0.20057638,
            0.198874101,
            0.197171822,
            0.195469528,
            0.19376725,
            0.192064971,
            0.190362692,
            0.188660398,
            0.186958119,
            0.185837954,
            0.185108393,
            0.184378847,
            0.183649302,
            0.182919756,
            0.182190195,
            0.181460649,
            0.180731103,
            0.180001557,
            0.179271996,
            0.17854245,
            0.177812904,
            0.177083358,
            0.176353797,
            0.175624251,
            0.174894705,
            0.174165159,
            0.173435614,
            0.172706068,
            0.171976522,
            0.171246976,
            0.17051743,
            0.169787884,
            0.169058338,
            0.168328792,
            0.167599246,
            0.1668697,
            0.166140154,
            0.165410608,
            0.164681062,
            0.163951516,
            0.16322197,
            0.161902651,
            0.159470811,
            0.157038987,
            0.154607147,
            0.152175307,
            0.149743468,
            0.147311643,
            0.144879803,
            0.142447963,
            0.140016139,
            0.137584299,
            0.135152459,
            0.132720619,
            0.13028878,
            0.127856955,
            0.125425115,
            0.12320774,
            0.121748641,
            0.120289542,
            0.118830442,
            0.117371343,
            0.115912244,
            0.114453152,
            0.112994045,
            0.111534953,
            0.110075846,
            0.108616754,
            0.107157648,
            0.105698556,
            0.104239456,
            0.102780357,
            0.101321258,
            0.0999310911,
            0.0992015377,
            0.0984719917,
            0.0977424383,
            0.0970128924,
            0.096283339,
            0.095553793,
            0.0948242396,
            0.0940946937,
            0.0933651403,
            0.0926355943,
            0.0919060409,
            0.091176495,
            0.090446949,
            0.0897173956,
            0.0889878422,
            0.0882582963,
            0.0875287503,
            0.0867991969,
            0.0860696509,
            0.0853400975,
            0.0846105516,
            0.0838809982,
            0.0831514522,
            0.0824218988,
            0.0816923529,
            0.0809627995,
            0.0802332535,
            0.0795037001,
            0.0787741542,
            0.0780446008,
            0.0773150548,
            0.0765855014,
            0.0756510645,
            0.0746783316,
            0.0737055987,
            0.0727328658,
            0.0717601329,
            0.0707874,
            0.0698146671,
            0.0688419342,
            0.0678692013,
            0.0668964684,
            0.0659237355,
            0.0649510026,
            0.0639782697,
            0.0630055368,
            0.0620328076,
            0.0610600747,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0611136891,
            0.062086422,
            0.0630591586,
            0.0640318915,
            0.0650046244,
            0.0659773573,
            0.0669500902,
            0.0679228231,
            0.0688955486,
            0.0698682815,
            0.0708410144,
            0.0718137473,
            0.0727864802,
            0.0737592131,
            0.074731946,
            0.0757046789,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0763863623,
            0.0754136294,
            0.0744408965,
            0.0734681636,
            0.0724954307,
            0.0715226978,
            0.0705499649,
            0.069577232,
            0.0686044991,
            0.0676317662,
            0.0666590333,
            0.0656863004,
            0.0647135675,
            0.0637408346,
            0.0627681017,
            0.0617953688,
            0.0608226359,
            0.0593826845,
            0.0579235852,
            0.0564644858,
            0.0550053865,
            0.0535462871,
            0.0520871878,
            0.0506280884,
            0.0491689891,
            0.0477098934,
            0.0462507941,
            0.0447916947,
            0.0433325954,
            0.041873496,
            0.0404143967,
            0.0389552973,
            0.037496198,
            0.035428185,
            0.033239536,
            0.031050887,
            0.0288622379,
            0.0266735889,
            0.0244849399,
            0.0222962908,
            0.0201076418,
            0.0179189928,
            0.0157303438,
            0.0135416947,
            0.0113530476,
            0.00916439854,
            0.00697574951,
            0.00478710234,
            0.00259845331,
            0.000237468514,
            -0.00219436362,
            -0.00462619541,
            -0.0070580272,
            -0.00948985945,
            -0.0119216917,
            -0.014353523,
            -0.0167853553,
            -0.0192171875,
            -0.0216490198,
            -0.0240808502,
            -0.0265126824,
            -0.0289445147,
            -0.0313763469,
            -0.0338081792,
            -0.0362400115,
            -0.0376799628,
            -0.0384095125,
            -0.0391390622,
            -0.0398686118,
            -0.0405981615,
            -0.0413277112,
            -0.0420572609,
            -0.0427868105,
            -0.0435163602,
            -0.0442459062,
            -0.0449754596,
            -0.0457050055,
            -0.0464345589,
            -0.0471641049,
            -0.0478936583,
            -0.0486232042,
            -0.0493527539,
            -0.0500823036,
            -0.0508118533,
            -0.0515414029,
            -0.0522709526,
            -0.0530005023,
            -0.053730052,
            -0.0544596016,
            -0.0551891513,
            -0.055918701,
            -0.0566482507,
            -0.0573778003,
            -0.05810735,
            -0.0588368997,
            -0.0595664494,
            -0.0602959991,
            -0.0613472387,
            -0.063049525,
            -0.0647518039,
            -0.0664540902,
            -0.068156369,
            -0.0698586553,
            -0.0715609342,
            -0.073263213,
            -0.0749654993,
            -0.0766677856,
            -0.0783700645,
            -0.0800723433,
            -0.0817746297,
            -0.0834769085,
            -0.0851791948,
            -0.0868814737,
            -0.0883846134,
            -0.0891141668,
            -0.0898437127,
            -0.0905732661,
            -0.0913028121,
            -0.0920323655,
            -0.0927619115,
            -0.0934914649,
            -0.0942210108,
            -0.0949505642,
            -0.0956801102,
            -0.0964096636,
            -0.0971392095,
            -0.0978687629,
            -0.0985983089,
            -0.0993278623,
            -0.100057408,
            -0.100786954,
            -0.101516508,
            -0.102246054,
            -0.102975599,
            -0.103705145,
            -0.104434699,
            -0.105164245,
            -0.105893791,
            -0.106623337,
            -0.107352883,
            -0.108082436,
            -0.108811982,
            -0.109541528,
            -0.110271081,
            -0.111000627,
            -0.111730173,
            -0.112459727,
            -0.113189273,
            -0.113918826,
            -0.114648379,
            -0.115377933,
            -0.116107479,
            -0.116837032,
            -0.117566586,
            -0.118296139,
            -0.119025685,
            -0.119755238,
            -0.120484792,
            -0.121214345,
            -0.121943891,
            -0.122673444,
            -0.123402998,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123018116,
            -0.122288562,
            -0.121559009,
            -0.120829463,
            -0.12009991,
            -0.119370356,
            -0.118640803,
            -0.117911257,
            -0.117181703,
            -0.11645215,
            -0.115722597,
            -0.114993051,
            -0.114263497,
            -0.113533944,
            -0.112804398,
            -0.112074845,
            -0.111345291,
            -0.110615745,
            -0.109886199,
            -0.109156653,
            -0.1084271,
            -0.107697554,
            -0.106968008,
            -0.106238462,
            -0.105508909,
            -0.104779363,
            -0.104049817,
            -0.103320271,
            -0.102590717,
            -0.101861171,
            -0.101131625,
            -0.10040208,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100143574,
            -0.10087312,
            -0.101602674,
            -0.102332219,
            -0.103061765,
            -0.103791311,
            -0.104520865,
            -0.105250411,
            -0.105979957,
            -0.106709503,
            -0.107439056,
            -0.108168602,
            -0.108898148,
            -0.109627694,
            -0.110357247,
            -0.111086793,
            -0.111885272,
            -0.113587558,
            -0.115289845,
            -0.116992131,
            -0.118694417,
            -0.120396703,
            -0.12209899,
            -0.123801276,
            -0.12550357,
            -0.127205849,
            -0.128908128,
            -0.130610421,
            -0.132312715,
            -0.134014994,
            -0.135717273,
            -0.137419567,
            -0.139121845,
            -0.140594348,
            -0.142053455,
            -0.143512547,
            -0.144971654,
            -0.146430746,
            -0.147889853,
            -0.149348944,
            -0.150808051,
            -0.152267143,
            -0.15372625,
            -0.155185342,
            -0.156644449,
            -0.158103541,
            -0.159562647,
            -0.161021739,
            -0.162480846,
            -0.163939938,
            -0.165399045,
            -0.166858137,
            -0.168317243,
            -0.169776335,
            -0.171235442,
            -0.172694534,
            -0.174153641,
            -0.175612733,
            -0.17707184,
            -0.178530931,
            -0.179990038,
            -0.18144913,
            -0.182908237,
            -0.184367329,
            -0.185826421,
            -0.186780021,
            -0.187509567,
            -0.188239112,
            -0.188968658,
            -0.189698219,
            -0.190427765,
            -0.191157311,
            -0.191886857,
            -0.192616403,
            -0.193345964,
            -0.19407551,
            -0.194805056,
            -0.195534602,
            -0.196264163,
            -0.196993709,
            -0.197723255,
            -0.199004278,
            -0.200706556,
            -0.202408835,
            -0.204111129,
            -0.205813408,
            -0.207515687,
            -0.209217966,
            -0.210920259,
            -0.212622538,
            -0.214324817,
            -0.216027096,
            -0.21772939,
            -0.219431669,
            -0.221133947,
            -0.222836226,
            -0.224538505,
            -0.225811869,
            -0.22654143,
            -0.227270976,
            -0.228000522,
            -0.228730068,
            -0.229459628,
            -0.230189174,
            -0.23091872,
            -0.231648266,
            -0.232377827,
            -0.233107373,
            -0.233836919,
            -0.234566465,
            -0.235296011,
            -0.236025572,
            -0.236755118,
            -0.237714455,
            -0.239173546,
            -0.240632653,
            -0.242091745,
            -0.243550852,
            -0.245009959,
            -0.246469051,
            -0.247928157,
            -0.249387249,
            -0.250846356,
            -0.252305448,
            -0.25376457,
            -0.255223662,
            -0.256682754,
            -0.258141875,
            -0.259600967,
            -0.260968149,
            -0.261940897,
            -0.262913615,
            -0.263886333,
            -0.26485908,
            -0.265831798,
            -0.266804546,
            -0.267777264,
            -0.268750012,
            -0.26972273,
            -0.270695448,
            -0.271668196,
            -0.272640914,
            -0.273613662,
            -0.27458638,
            -0.275559127,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.275559127,
            -0.27458638,
            -0.273613662,
            -0.272640914,
            -0.271668196,
            -0.270695448,
            -0.26972273,
            -0.268750012,
            -0.267777264,
            -0.266804546,
            -0.265831798,
            -0.26485908,
            -0.263886333,
            -0.262913615,
            -0.261940897,
            -0.260968149,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260376483,
            -0.259646922,
            -0.258917361,
            -0.258187801,
            -0.25745827,
            -0.256728709,
            -0.255999148,
            -0.255269617,
            -0.254540056,
            -0.253810495,
            -0.253080964,
            -0.252351403,
            -0.251621842,
            -0.250892311,
            -0.25016275,
            -0.24943319,
            -0.248387694,
            -0.246928602,
            -0.245469496,
            -0.244010404,
            -0.242551297,
            -0.241092205,
            -0.239633098,
            -0.238174006,
            -0.2367149,
            -0.235255808,
            -0.233796716,
            -0.232337609,
            -0.230878502,
            -0.22941941,
            -0.227960318,
            -0.226501212,
            -0.224967435,
            -0.223265156,
            -0.221562862,
            -0.219860584,
            -0.218158305,
            -0.216456026,
            -0.214753747,
            -0.213051453,
            -0.211349174,
            -0.209646896,
            -0.207944617,
            -0.206242323,
            -0.204540044,
            -0.202837765,
            -0.201135486,
            -0.199433193,
            -0.197907075,
            -0.197177529,
            -0.196447983,
            -0.195718437,
            -0.194988877,
            -0.194259331,
            -0.193529785,
            -0.192800239,
            -0.192070678,
            -0.191341132,
            -0.190611586,
            -0.18988204,
            -0.189152479,
            -0.188422933,
            -0.187693387,
            -0.186963841,
            -0.18623428,
            -0.185504735,
            -0.184775189,
            -0.184045643,
            -0.183316082,
            -0.182586536,
            -0.18185699,
            -0.181127444,
            -0.180397898,
            -0.179668337,
            -0.178938791,
            -0.178209245,
            -0.177479684,
            -0.176750138,
            -0.176020592,
            -0.175291047,
            -0.174561501,
            -0.17383194,
            -0.173102394,
            -0.172372848,
            -0.171643302,
            -0.170913741,
            -0.170184195,
            -0.169454649,
            -0.168725103,
            -0.167995542,
            -0.167265996,
            -0.16653645,
            -0.165806904,
            -0.165077344,
            -0.164347798,
            -0.163618252,
            -0.162888706,
            -0.162159145,
            -0.161429599,
            -0.160700053,
            -0.159970507,
            -0.159240946,
            -0.1585114,
            -0.157781854,
            -0.157052308,
            -0.156322747,
            -0.155593202,
            -0.154863656,
            -0.15413411,
            -0.153404564,
            -0.152675003,
            -0.151945457,
            -0.151215911,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150578275,
            -0.149848714,
            -0.149119169,
            -0.148389623,
            -0.147660077,
            -0.146930516,
            -0.14620097,
            -0.145471424,
            -0.144741878,
            -0.144012317,
            -0.143282771,
            -0.142553225,
            -0.141823679,
            -0.141094118,
            -0.140364572,
            -0.139635026,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139433965,
            -0.140163511,
            -0.140893072,
            -0.141622618,
            -0.142352164,
            -0.14308171,
            -0.143811271,
            -0.144540817,
            -0.145270362,
            -0.145999908,
            -0.146729469,
            -0.147459015,
            -0.148188561,
            -0.148918107,
            -0.149647668,
            -0.150377214,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150945917,
            -0.150216371,
            -0.14948681,
            -0.148757264,
            -0.148027718,
            -0.147298172,
            -0.146568626,
            -0.145839065,
            -0.145109519,
            -0.144379973,
            -0.143650427,
            -0.142920867,
            -0.142191321,
            -0.141461775,
            -0.140732229,
            -0.140002668,
            -0.139273122,
            -0.137647435,
            -0.135945141,
            -0.134242862,
            -0.132540569,
            -0.13083829,
            -0.129135996,
            -0.127433717,
            -0.125731423,
            -0.124029145,
            -0.122326851,
            -0.120624572,
            -0.118922286,
            -0.117219999,
            -0.115517713,
            -0.113815427,
            -0.112113141,
            -0.110604256,
            -0.109145157,
            -0.107686058,
            -0.106226966,
            -0.104767866,
            -0.103308767,
            -0.101849675,
            -0.100390576,
            -0.0989314765,
            -0.0974723771,
            -0.0960132778,
            -0.0945541859,
            -0.0930950865,
            -0.0916359872,
            -0.0901768953,
            -0.0887177959,
            -0.0866076574,
            -0.0841758251,
            -0.0817439929,
            -0.0793121606,
            -0.0768803284,
            -0.0744484961,
            -0.0720166638,
            -0.0695848316,
            -0.0671529993,
            -0.0647211671,
            -0.0622893348,
            -0.0598575026,
            -0.0574256703,
            -0.0549938381,
            -0.0525620058,
            -0.0501301773,
            -0.0478304662,
            -0.0456418172,
            -0.0434531681,
            -0.0412645191,
            -0.0390758738,
            -0.036887221,
            -0.0346985757,
            -0.032509923,
            -0.0303212758,
            -0.0281326286,
            -0.0259439796,
            -0.0237553306,
            -0.0215666816,
            -0.0193780325,
            -0.0171893835,
            -0.0150007345,
            -0.0130150579,
            -0.0113127753,
            -0.00961049367,
            -0.00790821109,
            -0.00620592898,
            -0.00450364687,
            -0.00280136429,
            -0.00109908171,
            0.000603200868,
            0.00230548345,
            0.00400776602,
            0.0057100486,
            0.00741232932,
            0.00911461189,
            0.0108168945,
            0.012519177,
            0.0139380647,
            0.0146676144,
            0.015397164,
            0.0161267146,
            0.0168562643,
            0.017585814,
            0.0183153637,
            0.0190449134,
            0.0197744612,
            0.0205040108,
            0.0212335605,
            0.0219631102,
            0.0226926599,
            0.0234222095,
            0.0241517592,
            0.0248813089,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0254902244,
            0.0255476683,
            0.0270067677,
            0.028465867,
            0.0299249664,
            0.0313840657,
            0.0328431651,
            0.0343022645,
            0.0357613638,
            0.0372204632,
            0.0386795625,
            0.0401386619,
            0.0415977612,
            0.0430568606,
            0.0445159599,
            0.0459750593,
            0.0474341586,
            0.048893258,
            0.049685996,
            0.0504155457,
            0.0511450954,
            0.0518746451,
            0.0526041947,
            0.0533337444,
            0.0540632941,
            0.0547928438,
            0.0555223897,
            0.0562519431,
            0.0569814891,
            0.0577110425,
            0.0584405884,
            0.0591701418,
            0.0598996878,
            0.0606292374,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0609375276,
            0.0619102605,
            0.0628829896,
            0.0638557225,
            0.0648284554,
            0.0658011883,
            0.0667739213,
            0.0677466542,
            0.0687193871,
            0.06969212,
            0.0706648529,
            0.0716375858,
            0.0726103187,
            0.0735830516,
            0.0745557845,
            0.0755285174,
            0.0764935911,
            0.0772231445,
            0.0779526904,
            0.0786822438,
            0.0794117898,
            0.0801413357,
            0.0808708891,
            0.0816004351,
            0.0823299885,
            0.0830595344,
            0.0837890878,
            0.0845186338,
            0.0852481872,
            0.0859777331,
            0.0867072865,
            0.0874368325,
            0.0881663859,
            0.0888959318,
            0.0896254852,
            0.0903550312,
            0.0910845846,
            0.0918141305,
            0.0925436839,
            0.0932732299,
            0.0940027833,
            0.0947323292,
            0.0954618827,
            0.0961914286,
            0.096920982,
            0.097650528,
            0.0983800814,
            0.0991096273,
            0.0998391807,
            0.101137429,
            0.102596529,
            0.104055628,
            0.105514728,
            0.106973827,
            0.108432926,
            0.109892026,
            0.111351125,
            0.112810224,
            0.114269324,
            0.115728423,
            0.117187522,
            0.118646622,
            0.120105721,
            0.12156482,
            0.12302392,
            0.124641947,
            0.126344234,
            0.128046513,
            0.129748791,
            0.131451085,
            0.133153364,
            0.134855643,
            0.136557922,
            0.138260216,
            0.139962494,
            0.141664773,
            0.143367052,
            0.145069331,
            0.146771625,
            0.148473904,
            0.150176182,
            0.151365295,
            0.152094856,
            0.152824402,
            0.153553963,
            0.154283509,
            0.155013055,
            0.155742615,
            0.156472161,
            0.157201722,
            0.157931268,
            0.158660829,
            0.159390375,
            0.160119936,
            0.160849482,
            0.161579043,
            0.162308589,
            0.163038149,
            0.163767695,
            0.164497241,
            0.165226787,
            0.165956333,
            0.166685879,
            0.167415425,
            0.168144971,
            0.168874517,
            0.169604063,
            0.170333609,
            0.171063155,
            0.171792701,
            0.172522247,
            0.173251793,
            0.173981339,
            0.174978957,
            0.17668125,
            0.178383529,
            0.180085808,
            0.181788102,
            0.183490396,
            0.185192674,
            0.186894953,
            0.188597247,
            0.190299526,
            0.19200182,
            0.193704098,
            0.195406392,
            0.197108671,
            0.198810965,
            0.200513244,
            0.202179149,
            0.203638241,
            0.205097347,
            0.206556439,
            0.208015531,
            0.209474623,
            0.21093373,
            0.212392822,
            0.213851914,
            0.215311006,
            0.216770113,
            0.218229204,
            0.219688296,
            0.221147388,
            0.22260648,
            0.224065587,
            0.225507453,
            0.226236999,
            0.226966545,
            0.227696091,
            0.228425652,
            0.229155198,
            0.229884744,
            0.23061429,
            0.231343836,
            0.232073396,
            0.232802942,
            0.233532488,
            0.234262034,
            0.234991595,
            0.235721141,
            0.236450687,
            0.237180233,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237817883,
            0.238547429,
            0.239276975,
            0.240006521,
            0.240736082,
            0.241465628,
            0.242195174,
            0.24292472,
            0.243654281,
            0.244383827,
            0.245113373,
            0.245842919,
            0.246572465,
            0.247302026,
            0.248031572,
            0.248761117,
            0.249490678,
            0.250220239,
            0.25094977,
            0.251679331,
            0.252408892,
            0.253138453,
            0.253867984,
            0.254597545,
            0.255327106,
            0.256056666,
            0.256786197,
            0.257515758,
            0.258245319,
            0.25897488,
            0.259704411,
            0.260433972,
            0.261289895,
            0.262262642,
            0.26323539,
            0.264208108,
            0.265180856,
            0.266153574,
            0.267126322,
            0.26809907,
            0.269071788,
            0.270044535,
            0.271017283,
            0.271990001,
            0.272962749,
            0.273935467,
            0.274908215,
            0.275880963,
            0.276757956,
            0.277487487,
            0.278217047,
            0.278946579,
            0.279676139,
            0.28040567,
            0.281135231,
            0.281864762,
            0.282594323,
            0.283323854,
            0.284053415,
            0.284782946,
            0.285512507,
            0.286242038,
            0.286971599,
            0.28770113,
            0.288625985,
            0.290085077,
            0.291544199,
            0.293003291,
            0.294462383,
            0.295921475,
            0.297380596,
            0.298839688,
            0.30029878,
            0.301757872,
            0.303216994,
            0.304676086,
            0.306135178,
            0.30759427,
            0.309053391,
            0.310512483,
            0.311868191,
            0.312597722,
            0.313327283,
            0.314056814,
            0.314786375,
            0.315515935,
            0.316245466,
            0.316975027,
            0.317704588,
            0.318434119,
            0.31916368,
            0.319893211,
            0.320622772,
            0.321352333,
            0.322081864,
            0.322811425,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.322972268,
            0.322242707,
            0.321513176,
            0.320783615,
            0.320054054,
            0.319324523,
            0.318594962,
            0.317865431,
            0.31713587,
            0.31640631,
            0.315676779,
            0.314947218,
            0.314217687,
            0.313488126,
            0.312758565,
            0.312029034,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.31213817,
            0.312867731,
            0.313597262,
            0.314326823,
            0.315056354,
            0.315785915,
            0.316515476,
            0.317245007,
            0.317974567,
            0.318704128,
            0.319433659,
            0.32016322,
            0.320892751,
            0.321622312,
            0.322351873,
            0.323081404,
            0.323904783,
            0.32487753,
            0.325850248,
            0.326822996,
            0.327795714,
            0.328768462,
            0.32974118,
            0.330713928,
            0.331686646,
            0.332659394,
            0.333632112,
            0.334604859,
            0.335577577,
            0.336550325,
            0.337523043,
            0.338495791,
            0.339405328,
            0.340134859,
            0.34086442,
            0.341593981,
            0.342323512,
            0.343053073,
            0.343782634,
            0.344512165,
            0.345241725,
            0.345971256,
            0.346700817,
            0.347430378,
            0.348159909,
            0.34888947,
            0.349619031,
            0.350348562,
            0.351175785,
            0.352634877,
            0.354093969,
            0.355553061,
            0.357012182,
            0.358471274,
            0.359930366,
            0.361389458,
            0.36284858,
            0.364307672,
            0.365766764,
            0.367225856,
            0.368684947,
            0.370144069,
            0.371603161,
            0.373062253,
            0.374515623,
            0.375245154,
            0.375974715,
            0.376704276,
            0.377433807,
            0.378163368,
            0.378892899,
            0.379622459,
            0.38035202,
            0.381081551,
            0.381811112,
            0.382540673,
            0.383270204,
            0.383999765,
            0.384729296,
            0.385458857,
            0.386188418,
            0.387775809,
            0.389478087,
            0.391180366,
            0.392882645,
            0.394584924,
            0.396287203,
            0.397989482,
            0.399691761,
            0.401394039,
            0.403096318,
            0.404798597,
            0.406500876,
            0.408203155,
            0.409905434,
            0.411607713,
            0.413309991,
            0.414276958,
            0.415006518,
            0.415736079,
            0.41646564,
            0.417195171,
            0.417924732,
            0.418654293,
            0.419383854,
            0.420113385,
            0.420842946,
            0.421572506,
            0.422302067,
            0.423031598,
            0.423761159,
            0.42449072,
            0.425220281,
            0.426409364,
            0.427868485,
            0.429327577,
            0.430786669,
            0.432245761,
            0.433704883,
            0.435163975,
            0.436623067,
            0.438082159,
            0.43954128,
            0.441000372,
            0.442459464,
            0.443918556,
            0.445377678,
            0.44683677,
            0.448295861,
            0.449877501,
            0.451579809,
            0.453282088,
            0.454984367,
            0.456686646,
            0.458388954,
            0.460091233,
            0.461793512,
            0.463495791,
            0.4651981,
            0.466900378,
            0.468602657,
            0.470304936,
            0.472007245,
            0.473709524,
            0.475411803,
            0.47674644,
            0.477476001,
            0.478205532,
            0.478935093,
            0.479664624,
            0.480394185,
            0.481123716,
            0.481853276,
            0.482582808,
            0.483312368,
            0.484041899,
            0.48477146,
            0.485500991,
            0.486230552,
            0.486960083,
            0.487689644,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354
          ],
          [
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476110727,
            0.475137979,
            0.474165261,
            0.473192513,
            0.472219765,
            0.471247047,
            0.470274299,
            0.469301552,
            0.468328834,
            0.467356086,
            0.466383368,
            0.46541062,
            0.464437872,
            0.463465154,
            0.462492406,
            0.461519659,
            0.460606307,
            0.459876746,
            0.459147185,
            0.458417654,
            0.457688093,
            0.456958562,
            0.456229001,
            0.45549944,
            0.454769909,
            0.454040349,
            0.453310788,
            0.452581257,
            0.451851696,
            0.451122165,
            0.450392604,
            0.449663043,
            0.448933512,
            0.448203951,
            0.44747439,
            0.446744859,
            0.446015298,
            0.445285767,
            0.444556206,
            0.443826646,
            0.443097115,
            0.442367554,
            0.441637993,
            0.440908462,
            0.440178901,
            0.43944937,
            0.438719809,
            0.437990248,
            0.437260717,
            0.435083538,
            0.432894915,
            0.430706263,
            0.42851761,
            0.426328957,
            0.424140304,
            0.421951652,
            0.419762999,
            0.417574346,
            0.415385723,
            0.41319707,
            0.411008418,
            0.408819765,
            0.406631112,
            0.404442459,
            0.402253807,
            0.400486439,
            0.398784161,
            0.397081882,
            0.395379573,
            0.393677294,
            0.391975015,
            0.390272737,
            0.388570458,
            0.386868179,
            0.3851659,
            0.383463621,
            0.381761312,
            0.380059034,
            0.378356755,
            0.376654476,
            0.374952197,
            0.373969883,
            0.373240352,
            0.372510791,
            0.37178123,
            0.371051699,
            0.370322138,
            0.369592607,
            0.368863046,
            0.368133485,
            0.367403954,
            0.366674393,
            0.365944833,
            0.365215302,
            0.364485741,
            0.36375618,
            0.363026649,
            0.362297088,
            0.361567557,
            0.360837996,
            0.360108435,
            0.359378904,
            0.358649343,
            0.357919812,
            0.357190251,
            0.35646069,
            0.355731159,
            0.355001599,
            0.354272038,
            0.353542507,
            0.352812946,
            0.352083415,
            0.351353854,
            0.350624293,
            0.349894762,
            0.349165201,
            0.34843564,
            0.347706109,
            0.346976548,
            0.346247017,
            0.345517457,
            0.344787896,
            0.344058365,
            0.343328804,
            0.342599243,
            0.341869712,
            0.341140151,
            0.34041062,
            0.339681059,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339933813,
            0.340663373,
            0.341392905,
            0.342122465,
            0.342852026,
            0.343581557,
            0.344311118,
            0.345040649,
            0.34577021,
            0.346499771,
            0.347229302,
            0.347958863,
            0.348688424,
            0.349417955,
            0.350147516,
            0.350877047,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350446224,
            0.349716663,
            0.348987132,
            0.348257571,
            0.347528011,
            0.34679848,
            0.346068919,
            0.345339388,
            0.344609827,
            0.343880266,
            0.343150735,
            0.342421174,
            0.341691613,
            0.340962082,
            0.340232521,
            0.33950299,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.338398129,
            0.33669585,
            0.334993571,
            0.333291262,
            0.331588984,
            0.329886705,
            0.328184426,
            0.326482147,
            0.324779868,
            0.323077589,
            0.32137531,
            0.319673032,
            0.317970723,
            0.316268444,
            0.314566165,
            0.312863886,
            0.311506271,
            0.310776711,
            0.310047179,
            0.309317619,
            0.308588088,
            0.307858527,
            0.307128966,
            0.306399435,
            0.305669874,
            0.304940343,
            0.304210782,
            0.303481221,
            0.30275169,
            0.302022129,
            0.301292568,
            0.300563037,
            0.299666882,
            0.29820779,
            0.296748698,
            0.295289606,
            0.293830514,
            0.292371422,
            0.29091233,
            0.289453238,
            0.287994117,
            0.286535025,
            0.285075933,
            0.283616841,
            0.282157749,
            0.280698657,
            0.279239565,
            0.277780473,
            0.276296467,
            0.274594188,
            0.272891879,
            0.2711896,
            0.269487321,
            0.267785013,
            0.266082734,
            0.264380455,
            0.262678146,
            0.260975868,
            0.259273589,
            0.25757128,
            0.255869001,
            0.254166692,
            0.252464414,
            0.250762135,
            0.249059826,
            0.248307303,
            0.247577757,
            0.246848211,
            0.246118665,
            0.245389104,
            0.244659558,
            0.243930012,
            0.243200466,
            0.242470905,
            0.241741359,
            0.241011813,
            0.240282267,
            0.239552706,
            0.238823161,
            0.238093615,
            0.237364069,
            0.236014113,
            0.234555006,
            0.233095914,
            0.231636807,
            0.230177715,
            0.228718609,
            0.227259517,
            0.22580041,
            0.224341318,
            0.222882211,
            0.221423119,
            0.219964013,
            0.218504921,
            0.217045814,
            0.215586722,
            0.214127615,
            0.212492362,
            0.210790068,
            0.209087789,
            0.20738551,
            0.205683231,
            0.203980953,
            0.202278659,
            0.20057638,
            0.198874101,
            0.197171822,
            0.195469528,
            0.19376725,
            0.192064971,
            0.190362692,
            0.188660398,
            0.186958119,
            0.185837954,
            0.185108393,
            0.184378847,
            0.183649302,
            0.182919756,
            0.182190195,
            0.181460649,
            0.180731103,
            0.180001557,
            0.179271996,
            0.17854245,
            0.177812904,
            0.177083358,
            0.176353797,
            0.175624251,
            0.174894705,
            0.174165159,
            0.173435614,
            0.172706068,
            0.171976522,
            0.171246976,
            0.17051743,
            0.169787884,
            0.169058338,
            0.168328792,
            0.167599246,
            0.1668697,
            0.166140154,
            0.165410608,
            0.164681062,
            0.163951516,
            0.16322197,
            0.161902651,
            0.159470811,
            0.157038987,
            0.154607147,
            0.152175307,
            0.149743468,
            0.147311643,
            0.144879803,
            0.142447963,
            0.140016139,
            0.137584299,
            0.135152459,
            0.132720619,
            0.13028878,
            0.127856955,
            0.125425115,
            0.12320774,
            0.121748641,
            0.120289542,
            0.118830442,
            0.117371343,
            0.115912244,
            0.114453152,
            0.112994045,
            0.111534953,
            0.110075846,
            0.108616754,
            0.107157648,
            0.105698556,
            0.104239456,
            0.102780357,
            0.101321258,
            0.0999310911,
            0.0992015377,
            0.0984719917,
            0.0977424383,
            0.0970128924,
            0.096283339,
            0.095553793,
            0.0948242396,
            0.0940946937,
            0.0933651403,
            0.0926355943,
            0.0919060409,
            0.091176495,
            0.090446949,
            0.0897173956,
            0.0889878422,
            0.0882582963,
            0.0875287503,
            0.0867991969,
            0.0860696509,
            0.0853400975,
            0.0846105516,
            0.0838809982,
            0.0831514522,
            0.0824218988,
            0.0816923529,
            0.0809627995,
            0.0802332535,
            0.0795037001,
            0.0787741542,
            0.0780446008,
            0.0773150548,
            0.0765855014,
            0.0756510645,
            0.0746783316,
            0.0737055987,
            0.0727328658,
            0.0717601329,
            0.0707874,
            0.0698146671,
            0.0688419342,
            0.0678692013,
            0.0668964684,
            0.0659237355,
            0.0649510026,
            0.0639782697,
            0.0630055368,
            0.0620328076,
            0.0610600747,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0611136891,
            0.062086422,
            0.0630591586,
            0.0640318915,
            0.0650046244,
            0.0659773573,
            0.0669500902,
            0.0679228231,
            0.0688955486,
            0.0698682815,
            0.0708410144,
            0.0718137473,
            0.0727864802,
            0.0737592131,
            0.074731946,
            0.0757046789,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0763863623,
            0.0754136294,
            0.0744408965,
            0.0734681636,
            0.0724954307,
            0.0715226978,
            0.0705499649,
            0.069577232,
            0.0686044991,
            0.0676317662,
            0.0666590333,
            0.0656863004,
            0.0647135675,
            0.0637408346,
            0.0627681017,
            0.0617953688,
            0.0608226359,
            0.0593826845,
            0.0579235852,
            0.0564644858,
            0.0550053865,
            0.0535462871,
            0.0520871878,
            0.0506280884,
            0.0491689891,
            0.0477098934,
            0.0462507941,
            0.0447916947,
            0.0433325954,
            0.041873496,
            0.0404143967,
            0.0389552973,
            0.037496198,
            0.035428185,
            0.033239536,
            0.031050887,
            0.0288622379,
            0.0266735889,
            0.0244849399,
            0.0222962908,
            0.0201076418,
            0.0179189928,
            0.0157303438,
            0.0135416947,
            0.0113530476,
            0.00916439854,
            0.00697574951,
            0.00478710234,
            0.00259845331,
            0.000754472101,
            -0.000947810244,
            -0.00265009236,
            -0.00435237493,
            -0.00605465751,
            -0.00775694009,
            -0.00945922174,
            -0.0111615043,
            -0.0128637869,
            -0.0145660695,
            -0.016268352,
            -0.0179706346,
            -0.0196729172,
            -0.0213751979,
            -0.0230774805,
            -0.0247797631,
            -0.0263403486,
            -0.027799448,
            -0.0292585474,
            -0.0307176467,
            -0.0321767442,
            -0.0336358435,
            -0.0350949429,
            -0.0365540422,
            -0.0380131416,
            -0.039472241,
            -0.0409313403,
            -0.0423904397,
            -0.043849539,
            -0.0453086384,
            -0.0467677377,
            -0.0482268371,
            -0.0497969948,
            -0.0514992774,
            -0.0532015599,
            -0.0549038425,
            -0.0566061251,
            -0.0583084077,
            -0.0600106902,
            -0.0617129728,
            -0.0634152517,
            -0.065117538,
            -0.0668198168,
            -0.0685221031,
            -0.070224382,
            -0.0719266683,
            -0.0736289471,
            -0.0753312334,
            -0.0769530907,
            -0.0784121901,
            -0.0798712894,
            -0.0813303888,
            -0.0827894881,
            -0.0842485875,
            -0.0857076868,
            -0.0871667862,
            -0.0886258855,
            -0.0900849849,
            -0.0915440843,
            -0.0930031836,
            -0.094462283,
            -0.0959213823,
            -0.0973804817,
            -0.098839581,
            -0.10029868,
            -0.10175778,
            -0.103216879,
            -0.104675978,
            -0.10613507,
            -0.107594177,
            -0.109053269,
            -0.110512376,
            -0.111971468,
            -0.113430567,
            -0.114889666,
            -0.116348766,
            -0.117807865,
            -0.119266964,
            -0.120726064,
            -0.122185163,
            -0.123605967,
            -0.124578699,
            -0.125551432,
            -0.126524165,
            -0.127496913,
            -0.128469646,
            -0.129442379,
            -0.130415112,
            -0.131387845,
            -0.132360578,
            -0.13333331,
            -0.134306043,
            -0.135278791,
            -0.136251524,
            -0.137224257,
            -0.13819699,
            -0.139169723,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.138411447,
            -0.137438715,
            -0.136465982,
            -0.135493249,
            -0.134520516,
            -0.133547783,
            -0.132575035,
            -0.131602302,
            -0.130629569,
            -0.129656836,
            -0.128684103,
            -0.127711371,
            -0.126738638,
            -0.125765905,
            -0.124793164,
            -0.123820432,
            -0.123018116,
            -0.122288562,
            -0.121559009,
            -0.120829463,
            -0.12009991,
            -0.119370356,
            -0.118640803,
            -0.117911257,
            -0.117181703,
            -0.11645215,
            -0.115722597,
            -0.114993051,
            -0.114263497,
            -0.113533944,
            -0.112804398,
            -0.112074845,
            -0.111345291,
            -0.110615745,
            -0.109886199,
            -0.109156653,
            -0.1084271,
            -0.107697554,
            -0.106968008,
            -0.106238462,
            -0.105508909,
            -0.104779363,
            -0.104049817,
            -0.103320271,
            -0.102590717,
            -0.101861171,
            -0.101131625,
            -0.10040208,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100235485,
            -0.100965038,
            -0.101694584,
            -0.10242413,
            -0.103153676,
            -0.103883229,
            -0.104612775,
            -0.105342321,
            -0.106071867,
            -0.10680142,
            -0.107530966,
            -0.108260512,
            -0.108990058,
            -0.109719604,
            -0.110449158,
            -0.111178704,
            -0.11190825,
            -0.112637803,
            -0.113367356,
            -0.11409691,
            -0.114826456,
            -0.115556009,
            -0.116285563,
            -0.117015108,
            -0.117744662,
            -0.118474215,
            -0.119203769,
            -0.119933322,
            -0.120662868,
            -0.121392421,
            -0.122121975,
            -0.122851521,
            -0.123598307,
            -0.12457104,
            -0.125543773,
            -0.126516506,
            -0.127489254,
            -0.128461987,
            -0.12943472,
            -0.130407453,
            -0.131380185,
            -0.132352918,
            -0.133325651,
            -0.134298384,
            -0.135271132,
            -0.136243865,
            -0.137216598,
            -0.138189331,
            -0.139162064,
            -0.139905021,
            -0.140634567,
            -0.141364112,
            -0.142093658,
            -0.142823219,
            -0.143552765,
            -0.144282311,
            -0.145011857,
            -0.145741418,
            -0.146470964,
            -0.14720051,
            -0.147930056,
            -0.148659617,
            -0.149389163,
            -0.150118709,
            -0.150848255,
            -0.152175233,
            -0.15363434,
            -0.155093431,
            -0.156552538,
            -0.15801163,
            -0.159470737,
            -0.160929829,
            -0.162388936,
            -0.163848028,
            -0.165307134,
            -0.166766226,
            -0.168225333,
            -0.169684425,
            -0.171143532,
            -0.172602624,
            -0.174061716,
            -0.175015315,
            -0.175744861,
            -0.176474407,
            -0.177203953,
            -0.177933514,
            -0.17866306,
            -0.179392606,
            -0.180122152,
            -0.180851698,
            -0.181581259,
            -0.182310805,
            -0.183040351,
            -0.183769897,
            -0.184499457,
            -0.185229003,
            -0.185958549,
            -0.187239572,
            -0.188941851,
            -0.19064413,
            -0.192346424,
            -0.194048703,
            -0.195750982,
            -0.19745326,
            -0.199155554,
            -0.200857833,
            -0.202560112,
            -0.204262391,
            -0.205964684,
            -0.207666963,
            -0.209369242,
            -0.211071521,
            -0.2127738,
            -0.214368865,
            -0.215827957,
            -0.217287064,
            -0.218746156,
            -0.220205262,
            -0.221664354,
            -0.223123461,
            -0.224582553,
            -0.22604166,
            -0.227500752,
            -0.228959858,
            -0.23041895,
            -0.231878042,
            -0.233337149,
            -0.234796256,
            -0.236255348,
            -0.237714455,
            -0.239173546,
            -0.240632653,
            -0.242091745,
            -0.243550852,
            -0.245009959,
            -0.246469051,
            -0.247928157,
            -0.249387249,
            -0.250846356,
            -0.252305448,
            -0.25376457,
            -0.255223662,
            -0.256682754,
            -0.258141875,
            -0.259600967,
            -0.260968149,
            -0.261940897,
            -0.262913615,
            -0.263886333,
            -0.26485908,
            -0.265831798,
            -0.266804546,
            -0.267777264,
            -0.268750012,
            -0.26972273,
            -0.270695448,
            -0.271668196,
            -0.272640914,
            -0.273613662,
            -0.27458638,
            -0.275559127,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.275804222,
            -0.274831474,
            -0.273858756,
            -0.272886008,
            -0.27191329,
            -0.270940572,
            -0.269967824,
            -0.268995106,
            -0.268022358,
            -0.26704964,
            -0.266076893,
            -0.265104175,
            -0.264131427,
            -0.263158709,
            -0.262185991,
            -0.261213243,
            -0.260376483,
            -0.259646922,
            -0.258917361,
            -0.258187801,
            -0.25745827,
            -0.256728709,
            -0.255999148,
            -0.255269617,
            -0.254540056,
            -0.253810495,
            -0.253080964,
            -0.252351403,
            -0.251621842,
            -0.250892311,
            -0.25016275,
            -0.24943319,
            -0.248703644,
            -0.247974098,
            -0.247244552,
            -0.246514991,
            -0.245785445,
            -0.245055899,
            -0.244326353,
            -0.243596792,
            -0.242867246,
            -0.2421377,
            -0.241408154,
            -0.240678608,
            -0.239949048,
            -0.239219502,
            -0.238489956,
            -0.237760395,
            -0.236806825,
            -0.235347718,
            -0.233888626,
            -0.232429519,
            -0.230970427,
            -0.229511321,
            -0.228052229,
            -0.226593122,
            -0.22513403,
            -0.223674923,
            -0.222215831,
            -0.220756724,
            -0.219297633,
            -0.217838526,
            -0.216379434,
            -0.214920327,
            -0.213417187,
            -0.211714908,
            -0.21001263,
            -0.208310336,
            -0.206608057,
            -0.204905778,
            -0.203203499,
            -0.20150122,
            -0.199798927,
            -0.198096648,
            -0.196394369,
            -0.19469209,
            -0.192989796,
            -0.191287518,
            -0.189585239,
            -0.18788296,
            -0.18623428,
            -0.185504735,
            -0.184775189,
            -0.184045643,
            -0.183316082,
            -0.182586536,
            -0.18185699,
            -0.181127444,
            -0.180397898,
            -0.179668337,
            -0.178938791,
            -0.178209245,
            -0.177479684,
            -0.176750138,
            -0.176020592,
            -0.175291047,
            -0.174561501,
            -0.17383194,
            -0.173102394,
            -0.172372848,
            -0.171643302,
            -0.170913741,
            -0.170184195,
            -0.169454649,
            -0.168725103,
            -0.167995542,
            -0.167265996,
            -0.16653645,
            -0.165806904,
            -0.165077344,
            -0.164347798,
            -0.163618252,
            -0.162888706,
            -0.161573216,
            -0.16011411,
            -0.158655018,
            -0.157195911,
            -0.155736819,
            -0.154277712,
            -0.15281862,
            -0.151359513,
            -0.149900422,
            -0.148441315,
            -0.146982223,
            -0.145523116,
            -0.144064024,
            -0.142604917,
            -0.141145825,
            -0.139686733,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.138679519,
            -0.137706786,
            -0.136734053,
            -0.135761321,
            -0.134788588,
            -0.133815855,
            -0.132843122,
            -0.131870389,
            -0.130897641,
            -0.129924908,
            -0.128952175,
            -0.127979442,
            -0.12700671,
            -0.126033977,
            -0.125061244,
            -0.124088503,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123820432,
            -0.124793164,
            -0.125765905,
            -0.126738638,
            -0.127711371,
            -0.128684103,
            -0.129656836,
            -0.130629569,
            -0.131602302,
            -0.132575035,
            -0.133547783,
            -0.134520516,
            -0.135493249,
            -0.136465982,
            -0.137438715,
            -0.138411447,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139169723,
            -0.13819699,
            -0.137224257,
            -0.136251524,
            -0.135278776,
            -0.134306043,
            -0.13333331,
            -0.132360578,
            -0.131387845,
            -0.130415112,
            -0.129442379,
            -0.128469646,
            -0.127496913,
            -0.126524165,
            -0.125551432,
            -0.124578699,
            -0.123605967,
            -0.122857265,
            -0.122127719,
            -0.121398166,
            -0.120668612,
            -0.119939059,
            -0.119209513,
            -0.11847996,
            -0.117750406,
            -0.11702086,
            -0.116291307,
            -0.115561754,
            -0.1148322,
            -0.114102654,
            -0.113373101,
            -0.112643547,
            -0.111913994,
            -0.110604256,
            -0.109145157,
            -0.107686058,
            -0.106226966,
            -0.104767866,
            -0.103308767,
            -0.101849675,
            -0.100390576,
            -0.0989314765,
            -0.0974723771,
            -0.0960132778,
            -0.0945541859,
            -0.0930950865,
            -0.0916359872,
            -0.0901768953,
            -0.0887177959,
            -0.0870959386,
            -0.0853936523,
            -0.0836913735,
            -0.0819890872,
            -0.0802868083,
            -0.078584522,
            -0.0768822432,
            -0.0751799569,
            -0.073477678,
            -0.0717753917,
            -0.0700731128,
            -0.068370834,
            -0.0666685477,
            -0.0649662614,
            -0.0632639825,
            -0.0615617,
            -0.0595951714,
            -0.0574065223,
            -0.0552178733,
            -0.0530292243,
            -0.050840579,
            -0.0486519262,
            -0.0464632809,
            -0.0442746282,
            -0.0420859829,
            -0.0398973338,
            -0.0377086848,
            -0.0355200358,
            -0.0333313867,
            -0.0311427377,
            -0.0289540887,
            -0.0267654397,
            -0.0247797631,
            -0.0230774805,
            -0.0213751979,
            -0.0196729153,
            -0.0179706346,
            -0.016268352,
            -0.0145660695,
            -0.0128637869,
            -0.0111615043,
            -0.00945922174,
            -0.00775693916,
            -0.00605465658,
            -0.00435237586,
            -0.00265009329,
            -0.000947810709,
            0.000754471868,
            0.00217335997,
            0.00290290965,
            0.00363245909,
            0.00436200853,
            0.00509155821,
            0.00582110789,
            0.00655065756,
            0.00728020724,
            0.00800975598,
            0.00873930566,
            0.00946885534,
            0.010198405,
            0.0109279547,
            0.0116575044,
            0.012387054,
            0.0131166037,
            0.0138461534,
            0.0145757031,
            0.0153052527,
            0.0160348024,
            0.0167643521,
            0.0174939018,
            0.0182234515,
            0.0189530011,
            0.0196825489,
            0.0204120986,
            0.0211416483,
            0.021871198,
            0.0226007476,
            0.0233302973,
            0.024059847,
            0.0247893967,
            0.0255476683,
            0.0270067677,
            0.028465867,
            0.0299249664,
            0.0313840657,
            0.0328431651,
            0.0343022645,
            0.0357613638,
            0.0372204632,
            0.0386795625,
            0.0401386619,
            0.0415977612,
            0.0430568606,
            0.0445159599,
            0.0459750593,
            0.0474341586,
            0.048893258,
            0.049685996,
            0.0504155457,
            0.0511450954,
            0.0518746451,
            0.0526041947,
            0.0533337444,
            0.0540632941,
            0.0547928438,
            0.0555223897,
            0.0562519431,
            0.0569814891,
            0.0577110425,
            0.0584405884,
            0.0591701418,
            0.0598996878,
            0.0606292374,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0611826256,
            0.0621553585,
            0.0631280914,
            0.0641008243,
            0.0650735572,
            0.0660462901,
            0.067019023,
            0.0679917559,
            0.0689644888,
            0.0699372217,
            0.0709099546,
            0.0718826875,
            0.0728554204,
            0.0738281533,
            0.0748008862,
            0.0757736191,
            0.0761948749,
            0.075222142,
            0.0742494091,
            0.0732766837,
            0.0723039508,
            0.0713312179,
            0.070358485,
            0.0693857521,
            0.0684130192,
            0.0674402863,
            0.0664675534,
            0.0654948205,
            0.0645220876,
            0.0635493547,
            0.0625766218,
            0.0616038851,
            0.0609375276,
            0.0619102605,
            0.0628829896,
            0.0638557225,
            0.0648284554,
            0.0658011883,
            0.0667739213,
            0.0677466542,
            0.0687193871,
            0.06969212,
            0.0706648529,
            0.0716375858,
            0.0726103187,
            0.0735830516,
            0.0745557845,
            0.0755285174,
            0.0764935911,
            0.0772231445,
            0.0779526904,
            0.0786822438,
            0.0794117898,
            0.0801413357,
            0.0808708891,
            0.0816004351,
            0.0823299885,
            0.0830595344,
            0.0837890878,
            0.0845186338,
            0.0852481872,
            0.0859777331,
            0.0867072865,
            0.0874368325,
            0.0881663859,
            0.0888959318,
            0.0896254852,
            0.0903550312,
            0.0910845846,
            0.0918141305,
            0.0925436839,
            0.0932732299,
            0.0940027833,
            0.0947323292,
            0.0954618827,
            0.0961914286,
            0.096920982,
            0.097650528,
            0.0983800814,
            0.0991096273,
            0.0998391807,
            0.100568727,
            0.10129828,
            0.102027826,
            0.102757379,
            0.103486925,
            0.104216479,
            0.104946025,
            0.105675578,
            0.106405124,
            0.107134677,
            0.107864223,
            0.108593777,
            0.109323323,
            0.110052869,
            0.110782422,
            0.111511976,
            0.112241521,
            0.112971067,
            0.113700621,
            0.114430167,
            0.11515972,
            0.115889266,
            0.11661882,
            0.117348365,
            0.118077919,
            0.118807465,
            0.119537018,
            0.120266564,
            0.120996118,
            0.121725664,
            0.122455217,
            0.123184763,
            0.12442749,
            0.126129776,
            0.127832055,
            0.129534334,
            0.131236613,
            0.132938907,
            0.134641185,
            0.136343464,
            0.138045743,
            0.139748037,
            0.141450316,
            0.143152595,
            0.144854873,
            0.146557152,
            0.148259446,
            0.149961725,
            0.151566356,
            0.153025448,
            0.154484555,
            0.155943647,
            0.157402754,
            0.158861846,
            0.160320938,
            0.161780044,
            0.163239151,
            0.164698243,
            0.166157335,
            0.167616442,
            0.169075549,
            0.170534641,
            0.171993732,
            0.173452839,
            0.174978957,
            0.17668125,
            0.178383529,
            0.180085808,
            0.181788102,
            0.183490396,
            0.185192674,
            0.186894953,
            0.188597247,
            0.190299526,
            0.19200182,
            0.193704098,
            0.195406392,
            0.197108671,
            0.198810965,
            0.200513244,
            0.2022883,
            0.204476938,
            0.20666559,
            0.208854228,
            0.211042881,
            0.213231519,
            0.215420172,
            0.217608809,
            0.219797462,
            0.2219861,
            0.224174753,
            0.226363391,
            0.228552043,
            0.230740681,
            0.232929334,
            0.235117972,
            0.237272158,
            0.238001704,
            0.23873125,
            0.239460796,
            0.240190357,
            0.240919903,
            0.241649449,
            0.242378995,
            0.243108541,
            0.243838102,
            0.244567648,
            0.245297194,
            0.246026739,
            0.2467563,
            0.247485846,
            0.248215392,
            0.248944938,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.25033319,
            0.252035499,
            0.253737777,
            0.255440056,
            0.257142365,
            0.258844644,
            0.260546952,
            0.262249231,
            0.26395151,
            0.265653819,
            0.267356098,
            0.269058377,
            0.270760685,
            0.272462964,
            0.274165273,
            0.275867552,
            0.276941776,
            0.277671307,
            0.278400868,
            0.279130399,
            0.27985996,
            0.280589491,
            0.281319052,
            0.282048583,
            0.282778144,
            0.283507675,
            0.284237236,
            0.284966767,
            0.285696328,
            0.286425859,
            0.28715542,
            0.287884951,
            0.288614511,
            0.289344043,
            0.290073603,
            0.290803164,
            0.291532695,
            0.292262256,
            0.292991787,
            0.293721348,
            0.294450909,
            0.29518044,
            0.295910001,
            0.296639562,
            0.297369093,
            0.298098654,
            0.298828185,
            0.299557745,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300390691,
            0.301849782,
            0.303308904,
            0.304767996,
            0.306227088,
            0.30768618,
            0.309145302,
            0.310604393,
            0.312063485,
            0.313522577,
            0.314981699,
            0.316440791,
            0.317899883,
            0.319358975,
            0.320818096,
            0.322277188,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.324149877,
            0.325122625,
            0.326095343,
            0.32706809,
            0.328040808,
            0.329013556,
            0.329986274,
            0.330959022,
            0.33193174,
            0.332904488,
            0.333877206,
            0.334849954,
            0.335822672,
            0.336795419,
            0.337768137,
            0.338740885,
            0.339589149,
            0.34031871,
            0.341048241,
            0.341777802,
            0.342507333,
            0.343236893,
            0.343966454,
            0.344695985,
            0.345425546,
            0.346155107,
            0.346884638,
            0.347614199,
            0.34834373,
            0.349073291,
            0.349802852,
            0.350532383,
            0.351261944,
            0.351991504,
            0.352721035,
            0.353450596,
            0.354180127,
            0.354909688,
            0.355639249,
            0.35636878,
            0.357098341,
            0.357827902,
            0.358557433,
            0.359286994,
            0.360016525,
            0.360746086,
            0.361475646,
            0.362205178,
            0.362934738,
            0.363664269,
            0.36439383,
            0.365123391,
            0.365852922,
            0.366582483,
            0.367312044,
            0.368041575,
            0.368771136,
            0.369500667,
            0.370230228,
            0.370959789,
            0.37168932,
            0.37241888,
            0.373148441,
            0.373877972,
            0.374607533,
            0.375337064,
            0.376066625,
            0.376796186,
            0.377525717,
            0.378255278,
            0.378984839,
            0.37971437,
            0.380443931,
            0.381173462,
            0.381903023,
            0.382632583,
            0.383362114,
            0.384091675,
            0.384821236,
            0.385550767,
            0.386287987,
            0.387990266,
            0.389692545,
            0.391394824,
            0.393097103,
            0.394799381,
            0.39650166,
            0.398203939,
            0.399906218,
            0.401608497,
            0.403310776,
            0.405013055,
            0.406715333,
            0.408417612,
            0.410119891,
            0.41182217,
            0.413524449,
            0.414368868,
            0.415098429,
            0.41582799,
            0.41655755,
            0.417287081,
            0.418016642,
            0.418746203,
            0.419475764,
            0.420205295,
            0.420934856,
            0.421664417,
            0.422393978,
            0.423123509,
            0.42385307,
            0.42458263,
            0.425312191,
            0.426041722,
            0.426771283,
            0.427500844,
            0.428230375,
            0.428959936,
            0.429689467,
            0.430419028,
            0.431148589,
            0.43187812,
            0.432607681,
            0.433337212,
            0.434066772,
            0.434796333,
            0.435525864,
            0.436255425,
            0.436984986,
            0.437714517,
            0.438444078,
            0.439173609,
            0.43990317,
            0.440632731,
            0.441362262,
            0.442091823,
            0.442821383,
            0.443550915,
            0.444280475,
            0.445010006,
            0.445739567,
            0.446469128,
            0.447198659,
            0.44792822,
            0.448657781,
            0.449877501,
            0.451579809,
            0.453282088,
            0.454984367,
            0.456686646,
            0.458388954,
            0.460091233,
            0.461793512,
            0.463495791,
            0.4651981,
            0.466900378,
            0.468602657,
            0.470304936,
            0.472007245,
            0.473709524,
            0.475411803,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709
          ],
          [
            0.460784376,
            0.461757123,
            0.462729841,
            0.463702589,
            0.464675307,
            0.465648055,
            0.466620803,
            0.467593521,
            0.468566269,
            0.469539016,
            0.470511734,
            0.471484482,
            0.4724572,
            0.473429948,
            0.474402696,
            0.475375414,
            0.476348162,
            0.47710833,
            0.47783789,
            0.478567421,
            0.479296982,
            0.480026513,
            0.480756074,
            0.481485605,
            0.482215166,
            0.482944697,
            0.483674258,
            0.484403789,
            0.48513335,
            0.485862881,
            0.486592442,
            0.487321973,
            0.488051534,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.487873465,
            0.487143904,
            0.486414373,
            0.485684812,
            0.484955281,
            0.48422572,
            0.483496189,
            0.482766628,
            0.482037097,
            0.481307536,
            0.480578005,
            0.479848444,
            0.479118913,
            0.478389353,
            0.477659822,
            0.476930261,
            0.476110727,
            0.475137979,
            0.474165261,
            0.473192513,
            0.472219765,
            0.471247047,
            0.470274299,
            0.469301552,
            0.468328834,
            0.467356086,
            0.466383368,
            0.46541062,
            0.464437872,
            0.463465154,
            0.462492406,
            0.461519659,
            0.460606307,
            0.459876746,
            0.459147185,
            0.458417654,
            0.457688093,
            0.456958562,
            0.456229001,
            0.45549944,
            0.454769909,
            0.454040349,
            0.453310788,
            0.452581257,
            0.451851696,
            0.451122165,
            0.450392604,
            0.449663043,
            0.448933512,
            0.448203951,
            0.44747439,
            0.446744859,
            0.446015298,
            0.445285767,
            0.444556206,
            0.443826646,
            0.443097115,
            0.442367554,
            0.441637993,
            0.440908462,
            0.440178901,
            0.43944937,
            0.438719809,
            0.437990248,
            0.437260717,
            0.435807347,
            0.434348255,
            0.432889134,
            0.431430042,
            0.42997095,
            0.428511828,
            0.427052736,
            0.425593644,
            0.424134523,
            0.422675431,
            0.421216309,
            0.419757217,
            0.418298125,
            0.416839004,
            0.415379912,
            0.41392082,
            0.412251085,
            0.410548806,
            0.408846527,
            0.407144248,
            0.40544197,
            0.403739691,
            0.402037412,
            0.400335133,
            0.398632854,
            0.396930575,
            0.395228297,
            0.393526018,
            0.391823739,
            0.39012146,
            0.388419181,
            0.386716902,
            0.385734588,
            0.385005057,
            0.384275496,
            0.383545935,
            0.382816404,
            0.382086843,
            0.381357312,
            0.380627751,
            0.37989819,
            0.379168659,
            0.378439099,
            0.377709538,
            0.376980007,
            0.376250446,
            0.375520885,
            0.374791354,
            0.373613745,
            0.372154623,
            0.370695531,
            0.369236439,
            0.367777348,
            0.366318226,
            0.364859134,
            0.363400042,
            0.36194095,
            0.360481828,
            0.359022737,
            0.357563645,
            0.356104553,
            0.354645431,
            0.353186339,
            0.351727247,
            0.350624293,
            0.349894762,
            0.349165201,
            0.34843564,
            0.347706109,
            0.346976548,
            0.346247017,
            0.345517457,
            0.344787896,
            0.344058365,
            0.343328804,
            0.342599243,
            0.341869712,
            0.341140151,
            0.34041062,
            0.339681059,
            0.338863432,
            0.337890685,
            0.336917967,
            0.335945219,
            0.334972501,
            0.333999753,
            0.333027035,
            0.332054287,
            0.331081569,
            0.330108821,
            0.329136103,
            0.328163356,
            0.327190638,
            0.32621789,
            0.325245172,
            0.324272424,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323636711,
            0.324609458,
            0.325582176,
            0.326554924,
            0.327527642,
            0.32850039,
            0.329473108,
            0.330445856,
            0.331418574,
            0.332391322,
            0.33336404,
            0.334336758,
            0.335309505,
            0.336282253,
            0.337254971,
            0.338227689,
            0.339200437,
            0.339933813,
            0.340663373,
            0.341392905,
            0.342122465,
            0.342852026,
            0.343581557,
            0.344311118,
            0.345040649,
            0.34577021,
            0.346499771,
            0.347229302,
            0.347958863,
            0.348688424,
            0.349417955,
            0.350147516,
            0.350877047,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350446224,
            0.349716663,
            0.348987132,
            0.348257571,
            0.347528011,
            0.34679848,
            0.346068919,
            0.345339388,
            0.344609827,
            0.343880266,
            0.343150735,
            0.342421174,
            0.341691613,
            0.340962082,
            0.340232521,
            0.33950299,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.338748544,
            0.337775797,
            0.336803079,
            0.335830331,
            0.334857613,
            0.333884865,
            0.332912147,
            0.331939399,
            0.330966681,
            0.329993933,
            0.329021215,
            0.328048468,
            0.32707575,
            0.326103002,
            0.325130284,
            0.324157536,
            0.323012471,
            0.321553379,
            0.320094287,
            0.318635166,
            0.317176074,
            0.315716982,
            0.31425789,
            0.312798798,
            0.311339676,
            0.309880584,
            0.308421493,
            0.306962401,
            0.305503279,
            0.304044187,
            0.302585095,
            0.301126003,
            0.299666882,
            0.29820779,
            0.296748698,
            0.295289606,
            0.293830514,
            0.292371422,
            0.29091233,
            0.289453238,
            0.287994117,
            0.286535025,
            0.285075933,
            0.283616841,
            0.282157749,
            0.280698657,
            0.279239565,
            0.277780473,
            0.276296467,
            0.274594188,
            0.272891879,
            0.2711896,
            0.269487321,
            0.267785013,
            0.266082734,
            0.264380455,
            0.262678146,
            0.260975868,
            0.259273589,
            0.25757128,
            0.255869001,
            0.254166692,
            0.252464414,
            0.250762135,
            0.249059826,
            0.248307303,
            0.247577757,
            0.246848211,
            0.246118665,
            0.245389104,
            0.244659558,
            0.243930012,
            0.243200466,
            0.242470905,
            0.241741359,
            0.241011813,
            0.240282267,
            0.239552706,
            0.238823161,
            0.238093615,
            0.237364069,
            0.236634508,
            0.235904962,
            0.235175416,
            0.23444587,
            0.233716309,
            0.232986763,
            0.232257217,
            0.231527671,
            0.23079811,
            0.230068564,
            0.229339018,
            0.228609473,
            0.227879912,
            0.227150366,
            0.22642082,
            0.225691274,
            0.224433228,
            0.222974136,
            0.221515045,
            0.220055938,
            0.218596846,
            0.217137754,
            0.215678662,
            0.214219555,
            0.212760463,
            0.211301371,
            0.20984228,
            0.208383173,
            0.206924081,
            0.205464989,
            0.204005897,
            0.202546805,
            0.200942174,
            0.19923988,
            0.197537601,
            0.195835307,
            0.194133028,
            0.192430735,
            0.190728456,
            0.189026162,
            0.187323883,
            0.185621589,
            0.183919311,
            0.182217032,
            0.180514738,
            0.178812444,
            0.177110165,
            0.175407887,
            0.173820481,
            0.172361389,
            0.170902282,
            0.16944319,
            0.167984083,
            0.166524991,
            0.165065885,
            0.163606793,
            0.162147686,
            0.160688594,
            0.159229487,
            0.157770395,
            0.156311303,
            0.154852197,
            0.15339309,
            0.151933998,
            0.15039064,
            0.148688361,
            0.146986082,
            0.145283803,
            0.14358151,
            0.141879231,
            0.140176952,
            0.138474673,
            0.136772394,
            0.1350701,
            0.133367822,
            0.131665543,
            0.129963249,
            0.12826097,
            0.126558691,
            0.124856412,
            0.123368591,
            0.122639038,
            0.121909492,
            0.121179938,
            0.120450392,
            0.119720839,
            0.118991293,
            0.11826174,
            0.117532194,
            0.11680264,
            0.116073094,
            0.115343541,
            0.114613995,
            0.113884442,
            0.113154896,
            0.112425342,
            0.111695796,
            0.110966243,
            0.110236697,
            0.109507143,
            0.108777598,
            0.108048044,
            0.107318498,
            0.106588945,
            0.105859399,
            0.105129845,
            0.104400299,
            0.103670746,
            0.1029412,
            0.102211654,
            0.101482101,
            0.100752547,
            0.100023001,
            0.0992934555,
            0.0985639021,
            0.0978343561,
            0.0971048027,
            0.0963752568,
            0.0956457034,
            0.0949161574,
            0.094186604,
            0.0934570581,
            0.0927275047,
            0.0919979587,
            0.0912684053,
            0.0905388594,
            0.089809306,
            0.08907976,
            0.0883502066,
            0.0876206607,
            0.0868911073,
            0.0861615613,
            0.0854320079,
            0.084702462,
            0.0839729086,
            0.0832433626,
            0.0825138092,
            0.0817842633,
            0.0810547099,
            0.0803251639,
            0.0795956105,
            0.0788660645,
            0.0781365111,
            0.0774069652,
            0.0766774118,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0758961663,
            0.0749234334,
            0.0739507005,
            0.0729779676,
            0.0720052347,
            0.0710325018,
            0.0700597689,
            0.069087036,
            0.0681143031,
            0.0671415702,
            0.0661688372,
            0.0651961043,
            0.0642233714,
            0.0632506385,
            0.0622779056,
            0.0613051727,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0611136891,
            0.062086422,
            0.0630591586,
            0.0640318915,
            0.0650046244,
            0.0659773573,
            0.0669500902,
            0.0679228231,
            0.0688955486,
            0.0698682815,
            0.0708410144,
            0.0718137473,
            0.0727864802,
            0.0737592131,
            0.074731946,
            0.0757046789,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0763231739,
            0.0746208876,
            0.0729186088,
            0.0712163225,
            0.0695140436,
            0.0678117573,
            0.0661094785,
            0.0644071922,
            0.0627049133,
            0.0610026307,
            0.0593003482,
            0.0575980656,
            0.055895783,
            0.0541935004,
            0.0524912179,
            0.0507889353,
            0.0490866527,
            0.0476179793,
            0.04615888,
            0.0446997806,
            0.0432406813,
            0.0417815819,
            0.0403224826,
            0.0388633832,
            0.0374042839,
            0.0359451883,
            0.0344860889,
            0.0330269895,
            0.0315678902,
            0.0301087908,
            0.0286496915,
            0.0271905921,
            0.0257314928,
            0.0242723934,
            0.0228132941,
            0.0213541947,
            0.0198950954,
            0.018435996,
            0.0169768967,
            0.0155177983,
            0.0140586989,
            0.0125996005,
            0.0111405011,
            0.00968140177,
            0.00822230242,
            0.00676320307,
            0.00530410372,
            0.00384500436,
            0.00238590501,
            0.000754472101,
            -0.000947810244,
            -0.00265009236,
            -0.00435237493,
            -0.00605465751,
            -0.00775694009,
            -0.00945922174,
            -0.0111615043,
            -0.0128637869,
            -0.0145660695,
            -0.016268352,
            -0.0179706346,
            -0.0196729172,
            -0.0213751979,
            -0.0230774805,
            -0.0247797631,
            -0.0263403486,
            -0.027799448,
            -0.0292585474,
            -0.0307176467,
            -0.0321767442,
            -0.0336358435,
            -0.0350949429,
            -0.0365540422,
            -0.0380131416,
            -0.039472241,
            -0.0409313403,
            -0.0423904397,
            -0.043849539,
            -0.0453086384,
            -0.0467677377,
            -0.0482268371,
            -0.0501301773,
            -0.0525620058,
            -0.0549938381,
            -0.0574256703,
            -0.0598575026,
            -0.0622893348,
            -0.0647211671,
            -0.0671529993,
            -0.0695848316,
            -0.0720166638,
            -0.0744484961,
            -0.0768803284,
            -0.0793121606,
            -0.0817439929,
            -0.0841758251,
            -0.0866076499,
            -0.0889590606,
            -0.0911477134,
            -0.0933363587,
            -0.0955250114,
            -0.0977136567,
            -0.0999023095,
            -0.102090955,
            -0.104279608,
            -0.106468253,
            -0.108656906,
            -0.110845551,
            -0.113034204,
            -0.115222849,
            -0.117411494,
            -0.119600147,
            -0.1217888,
            -0.123877876,
            -0.125580162,
            -0.127282441,
            -0.12898472,
            -0.130687013,
            -0.132389292,
            -0.134091586,
            -0.135793865,
            -0.137496144,
            -0.139198437,
            -0.140900716,
            -0.142602995,
            -0.144305289,
            -0.146007568,
            -0.147709846,
            -0.14941214,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150285304,
            -0.149555758,
            -0.148826197,
            -0.148096651,
            -0.147367105,
            -0.146637559,
            -0.145907998,
            -0.145178452,
            -0.144448906,
            -0.14371936,
            -0.142989799,
            -0.142260253,
            -0.141530707,
            -0.140801162,
            -0.140071601,
            -0.139342055,
            -0.138411447,
            -0.137438715,
            -0.136465982,
            -0.135493249,
            -0.134520516,
            -0.133547783,
            -0.132575035,
            -0.131602302,
            -0.130629569,
            -0.129656836,
            -0.128684103,
            -0.127711371,
            -0.126738638,
            -0.125765905,
            -0.124793164,
            -0.123820432,
            -0.123018116,
            -0.122288562,
            -0.121559009,
            -0.120829463,
            -0.12009991,
            -0.119370356,
            -0.118640803,
            -0.117911257,
            -0.117181703,
            -0.11645215,
            -0.115722597,
            -0.114993051,
            -0.114263497,
            -0.113533944,
            -0.112804398,
            -0.112074845,
            -0.111345291,
            -0.110615745,
            -0.109886199,
            -0.109156653,
            -0.1084271,
            -0.107697554,
            -0.106968008,
            -0.106238462,
            -0.105508909,
            -0.104779363,
            -0.104049817,
            -0.103320271,
            -0.102590717,
            -0.101861171,
            -0.101131625,
            -0.10040208,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100235485,
            -0.100965038,
            -0.101694584,
            -0.10242413,
            -0.103153676,
            -0.103883229,
            -0.104612775,
            -0.105342321,
            -0.106071867,
            -0.10680142,
            -0.107530966,
            -0.108260512,
            -0.108990058,
            -0.109719604,
            -0.110449158,
            -0.111178704,
            -0.11190825,
            -0.112637803,
            -0.113367356,
            -0.11409691,
            -0.114826456,
            -0.115556009,
            -0.116285563,
            -0.117015108,
            -0.117744662,
            -0.118474215,
            -0.119203769,
            -0.119933322,
            -0.120662868,
            -0.121392421,
            -0.122121975,
            -0.122851521,
            -0.123598307,
            -0.12457104,
            -0.125543773,
            -0.126516506,
            -0.127489254,
            -0.128461987,
            -0.12943472,
            -0.130407453,
            -0.131380185,
            -0.132352918,
            -0.133325651,
            -0.134298384,
            -0.135271132,
            -0.136243865,
            -0.137216598,
            -0.138189331,
            -0.139162064,
            -0.139905021,
            -0.140634567,
            -0.141364112,
            -0.142093658,
            -0.142823219,
            -0.143552765,
            -0.144282311,
            -0.145011857,
            -0.145741418,
            -0.146470964,
            -0.14720051,
            -0.147930056,
            -0.148659617,
            -0.149389163,
            -0.150118709,
            -0.150848255,
            -0.151577815,
            -0.152307361,
            -0.153036907,
            -0.153766453,
            -0.154496014,
            -0.15522556,
            -0.155955106,
            -0.156684652,
            -0.157414213,
            -0.158143759,
            -0.158873305,
            -0.159602851,
            -0.160332412,
            -0.161061957,
            -0.161791503,
            -0.162521049,
            -0.163756117,
            -0.165215224,
            -0.166674316,
            -0.168133408,
            -0.169592515,
            -0.171051621,
            -0.172510713,
            -0.173969805,
            -0.175428912,
            -0.176888004,
            -0.178347111,
            -0.179806203,
            -0.181265309,
            -0.182724401,
            -0.184183508,
            -0.1856426,
            -0.187239572,
            -0.188941851,
            -0.19064413,
            -0.192346424,
            -0.194048703,
            -0.195750982,
            -0.19745326,
            -0.199155554,
            -0.200857833,
            -0.202560112,
            -0.204262391,
            -0.205964684,
            -0.207666963,
            -0.209369242,
            -0.211071521,
            -0.2127738,
            -0.214368865,
            -0.215827957,
            -0.217287064,
            -0.218746156,
            -0.220205262,
            -0.221664354,
            -0.223123461,
            -0.224582553,
            -0.22604166,
            -0.227500752,
            -0.228959858,
            -0.23041895,
            -0.231878042,
            -0.233337149,
            -0.234796256,
            -0.236255348,
            -0.237484664,
            -0.23821421,
            -0.238943771,
            -0.239673316,
            -0.240402862,
            -0.241132408,
            -0.241861969,
            -0.242591515,
            -0.243321061,
            -0.244050607,
            -0.244780168,
            -0.245509714,
            -0.24623926,
            -0.246968806,
            -0.247698367,
            -0.248427913,
            -0.249157459,
            -0.249887019,
            -0.25061655,
            -0.251346111,
            -0.252075672,
            -0.252805233,
            -0.253534764,
            -0.254264325,
            -0.254993886,
            -0.255723417,
            -0.256452978,
            -0.257182539,
            -0.25791207,
            -0.25864163,
            -0.259371191,
            -0.260100722,
            -0.260845602,
            -0.26181832,
            -0.262791067,
            -0.263763785,
            -0.264736533,
            -0.265709251,
            -0.266681999,
            -0.267654717,
            -0.268627465,
            -0.269600183,
            -0.270572901,
            -0.271545649,
            -0.272518367,
            -0.273491114,
            -0.274463832,
            -0.27543658,
            -0.276409298,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.275804222,
            -0.274831474,
            -0.273858756,
            -0.272886008,
            -0.27191329,
            -0.270940572,
            -0.269967824,
            -0.268995106,
            -0.268022358,
            -0.26704964,
            -0.266076893,
            -0.265104175,
            -0.264131427,
            -0.263158709,
            -0.262185991,
            -0.261213243,
            -0.260376483,
            -0.259646922,
            -0.258917361,
            -0.258187801,
            -0.25745827,
            -0.256728709,
            -0.255999148,
            -0.255269617,
            -0.254540056,
            -0.253810495,
            -0.253080964,
            -0.252351403,
            -0.251621842,
            -0.250892311,
            -0.25016275,
            -0.24943319,
            -0.248703644,
            -0.247974098,
            -0.247244552,
            -0.246514991,
            -0.245785445,
            -0.245055899,
            -0.244326353,
            -0.243596792,
            -0.242867246,
            -0.2421377,
            -0.241408154,
            -0.240678608,
            -0.239949048,
            -0.239219502,
            -0.238489956,
            -0.237760395,
            -0.236806825,
            -0.235347718,
            -0.233888626,
            -0.232429519,
            -0.230970427,
            -0.229511321,
            -0.228052229,
            -0.226593122,
            -0.22513403,
            -0.223674923,
            -0.222215831,
            -0.220756724,
            -0.219297633,
            -0.217838526,
            -0.216379434,
            -0.214920327,
            -0.213417187,
            -0.211714908,
            -0.21001263,
            -0.208310336,
            -0.206608057,
            -0.204905778,
            -0.203203499,
            -0.20150122,
            -0.199798927,
            -0.198096648,
            -0.196394369,
            -0.19469209,
            -0.192989796,
            -0.191287518,
            -0.189585239,
            -0.18788296,
            -0.18623428,
            -0.185504735,
            -0.184775189,
            -0.184045643,
            -0.183316082,
            -0.182586536,
            -0.18185699,
            -0.181127444,
            -0.180397898,
            -0.179668337,
            -0.178938791,
            -0.178209245,
            -0.177479684,
            -0.176750138,
            -0.176020592,
            -0.175291047,
            -0.174561501,
            -0.17383194,
            -0.173102394,
            -0.172372848,
            -0.171643302,
            -0.170913741,
            -0.170184195,
            -0.169454649,
            -0.168725103,
            -0.167995542,
            -0.167265996,
            -0.16653645,
            -0.165806904,
            -0.165077344,
            -0.164347798,
            -0.163618252,
            -0.162888706,
            -0.161573216,
            -0.16011411,
            -0.158655018,
            -0.157195911,
            -0.155736819,
            -0.154277712,
            -0.15281862,
            -0.151359513,
            -0.149900422,
            -0.148441315,
            -0.146982223,
            -0.145523116,
            -0.144064024,
            -0.142604917,
            -0.141145825,
            -0.139686733,
            -0.138556972,
            -0.137584239,
            -0.136611506,
            -0.135638773,
            -0.134666041,
            -0.133693308,
            -0.132720575,
            -0.131747827,
            -0.130775094,
            -0.129802361,
            -0.128829628,
            -0.127856895,
            -0.126884162,
            -0.12591143,
            -0.124938689,
            -0.123965956,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123402998,
            -0.122673444,
            -0.121943891,
            -0.121214345,
            -0.120484792,
            -0.119755238,
            -0.119025685,
            -0.118296139,
            -0.117566586,
            -0.116837032,
            -0.116107479,
            -0.115377933,
            -0.114648379,
            -0.113918826,
            -0.113189273,
            -0.112459727,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.11176464,
            -0.111092538,
            -0.110362992,
            -0.109633438,
            -0.108903892,
            -0.108174346,
            -0.1074448,
            -0.106715247,
            -0.105985701,
            -0.105256155,
            -0.104526609,
            -0.103797063,
            -0.10306751,
            -0.102337964,
            -0.101608418,
            -0.100878865,
            -0.100149319,
            -0.0994197726,
            -0.0986902192,
            -0.0979606733,
            -0.0972311199,
            -0.0965015739,
            -0.0957720205,
            -0.0950424746,
            -0.0943129212,
            -0.0935833752,
            -0.0928538218,
            -0.0921242759,
            -0.0913947225,
            -0.0906651765,
            -0.0899356306,
            -0.0892060772,
            -0.0884765238,
            -0.0870959386,
            -0.0853936523,
            -0.0836913735,
            -0.0819890872,
            -0.0802868083,
            -0.078584522,
            -0.0768822432,
            -0.0751799569,
            -0.073477678,
            -0.0717753917,
            -0.0700731128,
            -0.068370834,
            -0.0666685477,
            -0.0649662614,
            -0.0632639825,
            -0.0615617,
            -0.0599915422,
            -0.0585324429,
            -0.0570733435,
            -0.0556142442,
            -0.0541551448,
            -0.0526960455,
            -0.0512369461,
            -0.0497778468,
            -0.0483187474,
            -0.0468596481,
            -0.0454005487,
            -0.0439414531,
            -0.0424823537,
            -0.0410232544,
            -0.039564155,
            -0.0381050557,
            -0.0366459563,
            -0.035186857,
            -0.0337277576,
            -0.0322686583,
            -0.0308095589,
            -0.0293504596,
            -0.0278913602,
            -0.0264322609,
            -0.0249731615,
            -0.0235140622,
            -0.0220549628,
            -0.0205958635,
            -0.0191367641,
            -0.0176776648,
            -0.0162185654,
            -0.0147594661,
            -0.0134420646,
            -0.0124693327,
            -0.0114965998,
            -0.0105238669,
            -0.00955113396,
            -0.00857840106,
            -0.00760566816,
            -0.00663293526,
            -0.00566020235,
            -0.00468746945,
            -0.00371473748,
            -0.00274200458,
            -0.00176927168,
            -0.000796538778,
            0.000176194124,
            0.00114892703,
            0.00208144821,
            0.00281099789,
            0.00354054733,
            0.00427009724,
            0.00499964645,
            0.00572919613,
            0.0064587458,
            0.00718829548,
            0.00791784469,
            0.00864739437,
            0.00937694404,
            0.0101064937,
            0.0108360434,
            0.0115655931,
            0.0122951427,
            0.0130246924,
            0.0137829641,
            0.0152420634,
            0.0167011619,
            0.0181602612,
            0.0196193606,
            0.0210784599,
            0.0225375593,
            0.0239966586,
            0.025455758,
            0.0269148573,
            0.0283739567,
            0.0298330542,
            0.0312921554,
            0.0327512547,
            0.0342103541,
            0.0356694534,
            0.0371285528,
            0.0379212908,
            0.0386508405,
            0.0393803902,
            0.0401099399,
            0.0408394895,
            0.0415690392,
            0.0422985889,
            0.0430281386,
            0.0437576845,
            0.0444872379,
            0.0452167839,
            0.0459463373,
            0.0466758832,
            0.0474054366,
            0.0481349826,
            0.0488645323,
            0.0495940819,
            0.0503236316,
            0.0510531813,
            0.051782731,
            0.0525122806,
            0.0532418303,
            0.05397138,
            0.0547009297,
            0.0554304793,
            0.056160029,
            0.0568895787,
            0.0576191284,
            0.0583486781,
            0.0590782277,
            0.0598077774,
            0.0605373271,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0611826256,
            0.0621553585,
            0.0631280914,
            0.0641008243,
            0.0650735572,
            0.0660462901,
            0.067019023,
            0.0679917559,
            0.0689644888,
            0.0699372217,
            0.0709099546,
            0.0718826875,
            0.0728554204,
            0.0738281533,
            0.0748008862,
            0.0757736191,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0765855014,
            0.0773150548,
            0.0780446008,
            0.0787741542,
            0.0795037001,
            0.0802332535,
            0.0809627995,
            0.0816923529,
            0.0824218988,
            0.0831514522,
            0.0838809982,
            0.0846105516,
            0.0853400975,
            0.0860696509,
            0.0867991969,
            0.0875287503,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0888959318,
            0.0896254852,
            0.0903550312,
            0.0910845846,
            0.0918141305,
            0.0925436839,
            0.0932732299,
            0.0940027833,
            0.0947323292,
            0.0954618827,
            0.0961914286,
            0.096920982,
            0.097650528,
            0.0983800814,
            0.0991096273,
            0.0998391807,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100476816,
            0.101206362,
            0.101935916,
            0.102665462,
            0.103395015,
            0.104124561,
            0.104854114,
            0.10558366,
            0.106313214,
            0.10704276,
            0.107772313,
            0.108501859,
            0.109231412,
            0.109960958,
            0.110690512,
            0.111420058,
            0.112662785,
            0.114365064,
            0.11606735,
            0.117769629,
            0.119471915,
            0.121174194,
            0.12287648,
            0.124578759,
            0.126281038,
            0.127983332,
            0.129685611,
            0.131387889,
            0.133090168,
            0.134792447,
            0.136494741,
            0.13819702,
            0.140094608,
            0.142283261,
            0.144471914,
            0.146660566,
            0.148849204,
            0.151037857,
            0.15322651,
            0.155415148,
            0.1576038,
            0.159792453,
            0.161981106,
            0.164169759,
            0.166358396,
            0.168547049,
            0.170735702,
            0.17292434,
            0.175180018,
            0.177611843,
            0.180043682,
            0.182475507,
            0.184907347,
            0.187339172,
            0.189771011,
            0.192202836,
            0.194634676,
            0.197066501,
            0.199498326,
            0.201930165,
            0.204362005,
            0.20679383,
            0.209225655,
            0.211657494,
            0.213943794,
            0.215402901,
            0.216861993,
            0.2183211,
            0.219780192,
            0.221239299,
            0.22269839,
            0.224157497,
            0.225616589,
            0.227075696,
            0.228534788,
            0.229993895,
            0.231452987,
            0.232912093,
            0.234371185,
            0.235830277,
            0.237272158,
            0.238001704,
            0.23873125,
            0.239460796,
            0.240190357,
            0.240919903,
            0.241649449,
            0.242378995,
            0.243108541,
            0.243838102,
            0.244567648,
            0.245297194,
            0.246026739,
            0.2467563,
            0.247485846,
            0.248215392,
            0.248944938,
            0.249674499,
            0.25040406,
            0.251133591,
            0.251863152,
            0.252592713,
            0.253322273,
            0.254051805,
            0.254781365,
            0.255510926,
            0.256240487,
            0.256970018,
            0.257699579,
            0.25842914,
            0.259158701,
            0.259888232,
            0.260617793,
            0.262097955,
            0.263800234,
            0.265502512,
            0.267204821,
            0.2689071,
            0.270609379,
            0.272311658,
            0.274013937,
            0.275716215,
            0.277418494,
            0.279120773,
            0.280823052,
            0.282525361,
            0.284227639,
            0.285929918,
            0.287632197,
            0.288706422,
            0.289435953,
            0.290165514,
            0.290895075,
            0.291624606,
            0.292354167,
            0.293083698,
            0.293813258,
            0.294542819,
            0.29527235,
            0.296001911,
            0.296731472,
            0.297461003,
            0.298190564,
            0.298920095,
            0.299649656,
            0.300379217,
            0.301108748,
            0.301838309,
            0.302567869,
            0.3032974,
            0.304026961,
            0.304756492,
            0.305486053,
            0.306215614,
            0.306945145,
            0.307674706,
            0.308404267,
            0.309133798,
            0.309863359,
            0.31059289,
            0.311322451,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311960101,
            0.312689632,
            0.313419193,
            0.314148724,
            0.314878285,
            0.315607846,
            0.316337377,
            0.317066938,
            0.317796499,
            0.31852603,
            0.31925559,
            0.319985121,
            0.320714682,
            0.321444243,
            0.322173774,
            0.322903335,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.324272424,
            0.325245172,
            0.32621789,
            0.327190638,
            0.328163356,
            0.329136103,
            0.330108821,
            0.331081569,
            0.332054287,
            0.333027035,
            0.333999753,
            0.334972501,
            0.335945219,
            0.336917967,
            0.337890685,
            0.338863432,
            0.339681059,
            0.34041062,
            0.341140151,
            0.341869712,
            0.342599243,
            0.343328804,
            0.344058365,
            0.344787896,
            0.345517457,
            0.346247017,
            0.346976548,
            0.347706109,
            0.34843564,
            0.349165201,
            0.349894762,
            0.350624293,
            0.351353854,
            0.352083415,
            0.352812946,
            0.353542507,
            0.354272038,
            0.355001599,
            0.355731159,
            0.35646069,
            0.357190251,
            0.357919812,
            0.358649343,
            0.359378904,
            0.360108435,
            0.360837996,
            0.361567557,
            0.362297088,
            0.363026649,
            0.36375621,
            0.364485741,
            0.365215302,
            0.365944833,
            0.366674393,
            0.367403954,
            0.368133485,
            0.368863046,
            0.369592607,
            0.370322138,
            0.371051699,
            0.37178123,
            0.372510791,
            0.373240352,
            0.373969883,
            0.374699444,
            0.375428975,
            0.376158535,
            0.376888096,
            0.377617627,
            0.378347188,
            0.379076749,
            0.37980628,
            0.380535841,
            0.381265372,
            0.381994933,
            0.382724494,
            0.383454025,
            0.384183586,
            0.384913146,
            0.385642678,
            0.386404783,
            0.38737753,
            0.388350248,
            0.389322996,
            0.390295714,
            0.391268462,
            0.39224118,
            0.393213928,
            0.394186646,
            0.395159394,
            0.396132112,
            0.397104859,
            0.398077577,
            0.399050295,
            0.400023043,
            0.400995791,
            0.401972353,
            0.403431445,
            0.404890537,
            0.406349629,
            0.407808721,
            0.409267843,
            0.410726935,
            0.412186027,
            0.413645118,
            0.41510424,
            0.416563332,
            0.418022424,
            0.419481516,
            0.420940638,
            0.422399729,
            0.423858821,
            0.425317913,
            0.426133633,
            0.426863194,
            0.427592754,
            0.428322285,
            0.429051846,
            0.429781377,
            0.430510938,
            0.431240499,
            0.43197003,
            0.432699591,
            0.433429152,
            0.434158683,
            0.434888244,
            0.435617775,
            0.436347336,
            0.437076896,
            0.437806427,
            0.438535988,
            0.439265549,
            0.43999508,
            0.440724641,
            0.441454172,
            0.442183733,
            0.442913294,
            0.443642825,
            0.444372386,
            0.445101917,
            0.445831478,
            0.446561038,
            0.44729057,
            0.44802013,
            0.448749691,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.449387312,
            0.450116873,
            0.450846404,
            0.451575965,
            0.452305526,
            0.453035057,
            0.453764617,
            0.454494178,
            0.455223709,
            0.45595327,
            0.456682801,
            0.457412362,
            0.458141923,
            0.458871454,
            0.459601015,
            0.460330576,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376,
            0.460784376
          ],
          [
            0.44901967,
            0.450721949,
            0.452424228,
            0.454126537,
            0.455828816,
            0.457531095,
            0.459233373,
            0.460935682,
            0.462637961,
            0.46434024,
            0.466042519,
            0.467744827,
            0.469447106,
            0.471149385,
            0.472851664,
            0.474553972,
            0.476256251,
            0.47710833,
            0.47783789,
            0.478567421,
            0.479296982,
            0.480026513,
            0.480756074,
            0.481485605,
            0.482215166,
            0.482944697,
            0.483674258,
            0.484403789,
            0.48513335,
            0.485862881,
            0.486592442,
            0.487321973,
            0.488051534,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.487873465,
            0.487143904,
            0.486414373,
            0.485684812,
            0.484955281,
            0.48422572,
            0.483496189,
            0.482766628,
            0.482037097,
            0.481307536,
            0.480578005,
            0.479848444,
            0.479118913,
            0.478389353,
            0.477659822,
            0.476930261,
            0.476110727,
            0.475137979,
            0.474165261,
            0.473192513,
            0.472219765,
            0.471247047,
            0.470274299,
            0.469301552,
            0.468328834,
            0.467356086,
            0.466383368,
            0.46541062,
            0.464437872,
            0.463465154,
            0.462492406,
            0.461519659,
            0.460606307,
            0.459876746,
            0.459147185,
            0.458417654,
            0.457688093,
            0.456958562,
            0.456229001,
            0.45549944,
            0.454769909,
            0.454040349,
            0.453310788,
            0.452581257,
            0.451851696,
            0.451122165,
            0.450392604,
            0.449663043,
            0.448933512,
            0.448203951,
            0.44747439,
            0.446744859,
            0.446015298,
            0.445285767,
            0.444556206,
            0.443826646,
            0.443097115,
            0.442367554,
            0.441637993,
            0.440908462,
            0.440178901,
            0.43944937,
            0.438719809,
            0.437990248,
            0.437260717,
            0.435807347,
            0.434348255,
            0.432889134,
            0.431430042,
            0.42997095,
            0.428511828,
            0.427052736,
            0.425593644,
            0.424134523,
            0.422675431,
            0.421216309,
            0.419757217,
            0.418298125,
            0.416839004,
            0.415379912,
            0.41392082,
            0.413093597,
            0.412364066,
            0.411634505,
            0.410904974,
            0.410175413,
            0.409445882,
            0.408716321,
            0.40798679,
            0.407257229,
            0.406527698,
            0.405798137,
            0.405068606,
            0.404339045,
            0.403609514,
            0.402879953,
            0.402150422,
            0.401240885,
            0.400268137,
            0.399295419,
            0.398322672,
            0.397349954,
            0.396377206,
            0.395404488,
            0.39443174,
            0.393459022,
            0.392486274,
            0.391513556,
            0.390540808,
            0.38956809,
            0.388595343,
            0.387622625,
            0.386649877,
            0.38537845,
            0.383919328,
            0.382460237,
            0.381001145,
            0.379542053,
            0.378082931,
            0.376623839,
            0.375164747,
            0.373705655,
            0.372246534,
            0.370787442,
            0.36932835,
            0.367869258,
            0.366410136,
            0.364951044,
            0.363491952,
            0.362032861,
            0.360573739,
            0.359114647,
            0.357655555,
            0.356196463,
            0.354737341,
            0.35327825,
            0.351819158,
            0.350360066,
            0.348900944,
            0.347441852,
            0.34598276,
            0.344523668,
            0.343064547,
            0.341605455,
            0.340146363,
            0.338863432,
            0.337890685,
            0.336917967,
            0.335945219,
            0.334972501,
            0.333999753,
            0.333027035,
            0.332054287,
            0.331081569,
            0.330108821,
            0.329136103,
            0.328163356,
            0.327190638,
            0.32621789,
            0.325245172,
            0.324272424,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.324486881,
            0.325459629,
            0.326432347,
            0.327405095,
            0.328377813,
            0.329350561,
            0.330323279,
            0.331296027,
            0.332268745,
            0.333241493,
            0.334214211,
            0.335186958,
            0.336159676,
            0.337132424,
            0.338105142,
            0.33907789,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339658082,
            0.340387642,
            0.341117173,
            0.341846734,
            0.342576265,
            0.343305826,
            0.344035387,
            0.344764918,
            0.345494479,
            0.34622404,
            0.346953571,
            0.347683132,
            0.348412663,
            0.349142224,
            0.349871784,
            0.350601315,
            0.350162834,
            0.348460555,
            0.346758276,
            0.345055968,
            0.343353689,
            0.34165141,
            0.339949131,
            0.338246852,
            0.336544573,
            0.334842294,
            0.333140016,
            0.331437737,
            0.329735428,
            0.328033149,
            0.32633087,
            0.324628592,
            0.323012471,
            0.321553379,
            0.320094287,
            0.318635166,
            0.317176074,
            0.315716982,
            0.31425789,
            0.312798798,
            0.311339676,
            0.309880584,
            0.308421493,
            0.306962401,
            0.305503279,
            0.304044187,
            0.302585095,
            0.301126003,
            0.299666882,
            0.29820779,
            0.296748698,
            0.295289606,
            0.293830514,
            0.292371422,
            0.29091233,
            0.289453238,
            0.287994117,
            0.286535025,
            0.285075933,
            0.283616841,
            0.282157749,
            0.280698657,
            0.279239565,
            0.277780473,
            0.276296467,
            0.274594188,
            0.272891879,
            0.2711896,
            0.269487321,
            0.267785013,
            0.266082734,
            0.264380455,
            0.262678146,
            0.260975868,
            0.259273589,
            0.25757128,
            0.255869001,
            0.254166692,
            0.252464414,
            0.250762135,
            0.249059826,
            0.248307303,
            0.247577757,
            0.246848211,
            0.246118665,
            0.245389104,
            0.244659558,
            0.243930012,
            0.243200466,
            0.242470905,
            0.241741359,
            0.241011813,
            0.240282267,
            0.239552706,
            0.238823161,
            0.238093615,
            0.237364069,
            0.236634508,
            0.235904962,
            0.235175416,
            0.23444587,
            0.233716309,
            0.232986763,
            0.232257217,
            0.231527671,
            0.23079811,
            0.230068564,
            0.229339018,
            0.228609473,
            0.227879912,
            0.227150366,
            0.22642082,
            0.225691274,
            0.224433228,
            0.222974136,
            0.221515045,
            0.220055938,
            0.218596846,
            0.217137754,
            0.215678662,
            0.214219555,
            0.212760463,
            0.211301371,
            0.20984228,
            0.208383173,
            0.206924081,
            0.205464989,
            0.204005897,
            0.202546805,
            0.200942174,
            0.19923988,
            0.197537601,
            0.195835307,
            0.194133028,
            0.192430735,
            0.190728456,
            0.189026162,
            0.187323883,
            0.185621589,
            0.183919311,
            0.182217032,
            0.180514738,
            0.178812444,
            0.177110165,
            0.175407887,
            0.173820481,
            0.172361389,
            0.170902282,
            0.16944319,
            0.167984083,
            0.166524991,
            0.165065885,
            0.163606793,
            0.162147686,
            0.160688594,
            0.159229487,
            0.157770395,
            0.156311303,
            0.154852197,
            0.15339309,
            0.151933998,
            0.15039064,
            0.148688361,
            0.146986082,
            0.145283803,
            0.14358151,
            0.141879231,
            0.140176952,
            0.138474673,
            0.136772394,
            0.1350701,
            0.133367822,
            0.131665543,
            0.129963249,
            0.12826097,
            0.126558691,
            0.124856412,
            0.123368591,
            0.122639038,
            0.121909492,
            0.121179938,
            0.120450392,
            0.119720839,
            0.118991293,
            0.11826174,
            0.117532194,
            0.11680264,
            0.116073094,
            0.115343541,
            0.114613995,
            0.113884442,
            0.113154896,
            0.112425342,
            0.111695796,
            0.110966243,
            0.110236697,
            0.109507143,
            0.108777598,
            0.108048044,
            0.107318498,
            0.106588945,
            0.105859399,
            0.105129845,
            0.104400299,
            0.103670746,
            0.1029412,
            0.102211654,
            0.101482101,
            0.100752547,
            0.100023001,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0993853658,
            0.0986558124,
            0.0979262665,
            0.0971967131,
            0.0964671671,
            0.0957376137,
            0.0950080678,
            0.0942785144,
            0.0935489684,
            0.092819415,
            0.0920898691,
            0.0913603157,
            0.0906307697,
            0.0899012163,
            0.0891716704,
            0.088442117,
            0.087712571,
            0.0869830176,
            0.0862534717,
            0.0855239183,
            0.0847943723,
            0.0840648264,
            0.083335273,
            0.0826057196,
            0.0818761736,
            0.0811466277,
            0.0804170743,
            0.0796875209,
            0.0789579749,
            0.078228429,
            0.0774988756,
            0.0767693296,
            0.0758961663,
            0.0749234334,
            0.0739507005,
            0.0729779676,
            0.0720052347,
            0.0710325018,
            0.0700597689,
            0.069087036,
            0.0681143031,
            0.0671415702,
            0.0661688372,
            0.0651961043,
            0.0642233714,
            0.0632506385,
            0.0622779056,
            0.0613051727,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0611136891,
            0.062086422,
            0.0630591586,
            0.0640318915,
            0.0650046244,
            0.0659773573,
            0.0669500902,
            0.0679228231,
            0.0688955486,
            0.0698682815,
            0.0708410144,
            0.0718137473,
            0.0727864802,
            0.0737592131,
            0.074731946,
            0.0757046789,
            0.0762638152,
            0.0752910823,
            0.0743183494,
            0.0733456165,
            0.0723728836,
            0.0714001507,
            0.0704274178,
            0.0694546849,
            0.068481952,
            0.0675092191,
            0.0665364861,
            0.0655637532,
            0.0645910203,
            0.0636182874,
            0.0626455545,
            0.0616728216,
            0.0607211515,
            0.0599916019,
            0.0592620522,
            0.0585325025,
            0.0578029528,
            0.0570734031,
            0.0563438535,
            0.0556143038,
            0.0548847541,
            0.0541552044,
            0.0534256548,
            0.0526961051,
            0.0519665554,
            0.0512370057,
            0.0505074561,
            0.0497779064,
            0.0490483567,
            0.0476179793,
            0.04615888,
            0.0446997806,
            0.0432406813,
            0.0417815819,
            0.0403224826,
            0.0388633832,
            0.0374042839,
            0.0359451883,
            0.0344860889,
            0.0330269895,
            0.0315678902,
            0.0301087908,
            0.0286496915,
            0.0271905921,
            0.0257314928,
            0.0242723934,
            0.0228132941,
            0.0213541947,
            0.0198950954,
            0.018435996,
            0.0169768967,
            0.0155177983,
            0.0140586989,
            0.0125996005,
            0.0111405011,
            0.00968140177,
            0.00822230242,
            0.00676320307,
            0.00530410372,
            0.00384500436,
            0.00238590501,
            0.000237468514,
            -0.00219436362,
            -0.00462619541,
            -0.0070580272,
            -0.00948985945,
            -0.0119216917,
            -0.014353523,
            -0.0167853553,
            -0.0192171875,
            -0.0216490198,
            -0.0240808502,
            -0.0265126824,
            -0.0289445147,
            -0.0313763469,
            -0.0338081792,
            -0.0362400115,
            -0.038105052,
            -0.0395641513,
            -0.0410232507,
            -0.04248235,
            -0.0439414494,
            -0.0454005487,
            -0.0468596481,
            -0.0483187474,
            -0.0497778468,
            -0.0512369461,
            -0.0526960455,
            -0.0541551448,
            -0.0556142442,
            -0.0570733435,
            -0.0585324429,
            -0.0599915422,
            -0.0622280613,
            -0.0653894395,
            -0.0685508177,
            -0.0717121959,
            -0.0748735815,
            -0.0780349597,
            -0.0811963379,
            -0.0843577161,
            -0.0875190943,
            -0.09068048,
            -0.0938418582,
            -0.0970032364,
            -0.100164615,
            -0.103325993,
            -0.106487378,
            -0.109648757,
            -0.112327598,
            -0.114029884,
            -0.115732171,
            -0.117434457,
            -0.119136743,
            -0.12083903,
            -0.122541316,
            -0.124243602,
            -0.125945896,
            -0.127648175,
            -0.129350454,
            -0.131052747,
            -0.132755041,
            -0.13445732,
            -0.136159599,
            -0.137861893,
            -0.139514387,
            -0.140973493,
            -0.142432585,
            -0.143891692,
            -0.145350784,
            -0.146809891,
            -0.148268983,
            -0.14972809,
            -0.151187181,
            -0.152646288,
            -0.15410538,
            -0.155564487,
            -0.157023579,
            -0.158482686,
            -0.159941778,
            -0.161400884,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.16153875,
            -0.160079643,
            -0.158620551,
            -0.157161444,
            -0.155702353,
            -0.154243246,
            -0.152784154,
            -0.151325047,
            -0.149865955,
            -0.148406848,
            -0.146947756,
            -0.14548865,
            -0.144029558,
            -0.142570451,
            -0.141111359,
            -0.139652252,
            -0.138533995,
            -0.137561262,
            -0.136588529,
            -0.135615796,
            -0.134643063,
            -0.13367033,
            -0.132697597,
            -0.131724849,
            -0.130752116,
            -0.129779384,
            -0.128806651,
            -0.127833918,
            -0.126861185,
            -0.125888452,
            -0.124915712,
            -0.123942979,
            -0.123110026,
            -0.122380473,
            -0.121650927,
            -0.120921373,
            -0.12019182,
            -0.119462267,
            -0.118732721,
            -0.118003167,
            -0.117273614,
            -0.11654406,
            -0.115814514,
            -0.115084961,
            -0.114355408,
            -0.113625854,
            -0.112896308,
            -0.112166755,
            -0.111437201,
            -0.110707656,
            -0.10997811,
            -0.109248564,
            -0.10851901,
            -0.107789464,
            -0.107059918,
            -0.106330372,
            -0.105600819,
            -0.104871273,
            -0.104141727,
            -0.103412181,
            -0.102682635,
            -0.101953082,
            -0.101223536,
            -0.10049399,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.100143574,
            -0.10087312,
            -0.101602674,
            -0.102332219,
            -0.103061765,
            -0.103791311,
            -0.104520865,
            -0.105250411,
            -0.105979957,
            -0.106709503,
            -0.107439056,
            -0.108168602,
            -0.108898148,
            -0.109627694,
            -0.110357247,
            -0.111086793,
            -0.111885272,
            -0.113587558,
            -0.115289845,
            -0.116992131,
            -0.118694417,
            -0.120396703,
            -0.12209899,
            -0.123801276,
            -0.12550357,
            -0.127205849,
            -0.128908128,
            -0.130610421,
            -0.132312715,
            -0.134014994,
            -0.135717273,
            -0.137419567,
            -0.139121845,
            -0.139905021,
            -0.140634567,
            -0.141364112,
            -0.142093658,
            -0.142823219,
            -0.143552765,
            -0.144282311,
            -0.145011857,
            -0.145741418,
            -0.146470964,
            -0.14720051,
            -0.147930056,
            -0.148659617,
            -0.149389163,
            -0.150118709,
            -0.150848255,
            -0.152175233,
            -0.15363434,
            -0.155093431,
            -0.156552538,
            -0.15801163,
            -0.159470737,
            -0.160929829,
            -0.162388936,
            -0.163848028,
            -0.165307134,
            -0.166766226,
            -0.168225333,
            -0.169684425,
            -0.171143532,
            -0.172602624,
            -0.174061716,
            -0.175015315,
            -0.175744861,
            -0.176474407,
            -0.177203953,
            -0.177933514,
            -0.17866306,
            -0.179392606,
            -0.180122152,
            -0.180851698,
            -0.181581259,
            -0.182310805,
            -0.183040351,
            -0.183769897,
            -0.184499457,
            -0.185229003,
            -0.185958549,
            -0.187239572,
            -0.188941851,
            -0.19064413,
            -0.192346424,
            -0.194048703,
            -0.195750982,
            -0.19745326,
            -0.199155554,
            -0.200857833,
            -0.202560112,
            -0.204262391,
            -0.205964684,
            -0.207666963,
            -0.209369242,
            -0.211071521,
            -0.2127738,
            -0.214047164,
            -0.214776725,
            -0.215506271,
            -0.216235816,
            -0.216965362,
            -0.217694923,
            -0.218424469,
            -0.219154015,
            -0.219883561,
            -0.220613122,
            -0.221342668,
            -0.222072214,
            -0.22280176,
            -0.223531306,
            -0.224260867,
            -0.224990413,
            -0.225719959,
            -0.226449504,
            -0.227179065,
            -0.227908611,
            -0.228638157,
            -0.229367703,
            -0.230097264,
            -0.23082681,
            -0.231556356,
            -0.232285902,
            -0.233015463,
            -0.233745009,
            -0.234474555,
            -0.235204101,
            -0.235933661,
            -0.236663207,
            -0.237530619,
            -0.238989726,
            -0.240448833,
            -0.241907924,
            -0.243367031,
            -0.244826123,
            -0.24628523,
            -0.247744337,
            -0.249203429,
            -0.250662535,
            -0.252121627,
            -0.253580749,
            -0.255039841,
            -0.256498933,
            -0.257958025,
            -0.259417146,
            -0.260845602,
            -0.26181832,
            -0.262791067,
            -0.263763785,
            -0.264736533,
            -0.265709251,
            -0.266681999,
            -0.267654717,
            -0.268627465,
            -0.269600183,
            -0.270572901,
            -0.271545649,
            -0.272518367,
            -0.273491114,
            -0.274463832,
            -0.27543658,
            -0.276409298,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.276470572,
            -0.275804222,
            -0.274831474,
            -0.273858756,
            -0.272886008,
            -0.27191329,
            -0.270940572,
            -0.269967824,
            -0.268995106,
            -0.268022358,
            -0.26704964,
            -0.266076893,
            -0.265104175,
            -0.264131427,
            -0.263158709,
            -0.262185991,
            -0.261213243,
            -0.260376483,
            -0.259646922,
            -0.258917361,
            -0.258187801,
            -0.25745827,
            -0.256728709,
            -0.255999148,
            -0.255269617,
            -0.254540056,
            -0.253810495,
            -0.253080964,
            -0.252351403,
            -0.251621842,
            -0.250892311,
            -0.25016275,
            -0.24943319,
            -0.248703644,
            -0.247974098,
            -0.247244552,
            -0.246514991,
            -0.245785445,
            -0.245055899,
            -0.244326353,
            -0.243596792,
            -0.242867246,
            -0.2421377,
            -0.241408154,
            -0.240678608,
            -0.239949048,
            -0.239219502,
            -0.238489956,
            -0.237760395,
            -0.236806825,
            -0.235347718,
            -0.233888626,
            -0.232429519,
            -0.230970427,
            -0.229511321,
            -0.228052229,
            -0.226593122,
            -0.22513403,
            -0.223674923,
            -0.222215831,
            -0.220756724,
            -0.219297633,
            -0.217838526,
            -0.216379434,
            -0.214920327,
            -0.213417187,
            -0.211714908,
            -0.21001263,
            -0.208310336,
            -0.206608057,
            -0.204905778,
            -0.203203499,
            -0.20150122,
            -0.199798927,
            -0.198096648,
            -0.196394369,
            -0.19469209,
            -0.192989796,
            -0.191287518,
            -0.189585239,
            -0.18788296,
            -0.18623428,
            -0.185504735,
            -0.184775189,
            -0.184045643,
            -0.183316082,
            -0.182586536,
            -0.18185699,
            -0.181127444,
            -0.180397898,
            -0.179668337,
            -0.178938791,
            -0.178209245,
            -0.177479684,
            -0.176750138,
            -0.176020592,
            -0.175291047,
            -0.174561501,
            -0.17383194,
            -0.173102394,
            -0.172372848,
            -0.171643302,
            -0.170913741,
            -0.170184195,
            -0.169454649,
            -0.168725103,
            -0.167995542,
            -0.167265996,
            -0.16653645,
            -0.165806904,
            -0.165077344,
            -0.164347798,
            -0.163618252,
            -0.162888706,
            -0.162159145,
            -0.161429599,
            -0.160700053,
            -0.159970507,
            -0.159240946,
            -0.1585114,
            -0.157781854,
            -0.157052308,
            -0.156322747,
            -0.155593202,
            -0.154863656,
            -0.15413411,
            -0.153404564,
            -0.152675003,
            -0.151945457,
            -0.151215911,
            -0.15048635,
            -0.149756804,
            -0.149027258,
            -0.148297712,
            -0.147568166,
            -0.146838605,
            -0.146109059,
            -0.145379514,
            -0.144649968,
            -0.143920407,
            -0.143190861,
            -0.142461315,
            -0.141731769,
            -0.141002208,
            -0.140272662,
            -0.139543116,
            -0.138679519,
            -0.137706786,
            -0.136734053,
            -0.135761321,
            -0.134788588,
            -0.133815855,
            -0.132843122,
            -0.131870389,
            -0.130897641,
            -0.129924908,
            -0.128952175,
            -0.127979442,
            -0.12700671,
            -0.126033977,
            -0.125061244,
            -0.124088503,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.12331108,
            -0.122581534,
            -0.121851981,
            -0.121122427,
            -0.120392881,
            -0.119663328,
            -0.118933775,
            -0.118204221,
            -0.117474675,
            -0.116745122,
            -0.116015568,
            -0.115286015,
            -0.114556469,
            -0.113826916,
            -0.113097362,
            -0.112367809,
            -0.111638263,
            -0.110908717,
            -0.110179164,
            -0.109449618,
            -0.108720072,
            -0.107990526,
            -0.107260972,
            -0.106531426,
            -0.10580188,
            -0.105072334,
            -0.104342781,
            -0.103613235,
            -0.102883689,
            -0.102154143,
            -0.10142459,
            -0.100695044,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0993278623,
            -0.0985983089,
            -0.0978687629,
            -0.0971392095,
            -0.0964096636,
            -0.0956801102,
            -0.0949505642,
            -0.0942210108,
            -0.0934914649,
            -0.0927619115,
            -0.0920323655,
            -0.0913028121,
            -0.0905732661,
            -0.0898437127,
            -0.0891141668,
            -0.0883846134,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0870959386,
            -0.0853936523,
            -0.0836913735,
            -0.0819890872,
            -0.0802868083,
            -0.078584522,
            -0.0768822432,
            -0.0751799569,
            -0.073477678,
            -0.0717753917,
            -0.0700731128,
            -0.068370834,
            -0.0666685477,
            -0.0649662614,
            -0.0632639825,
            -0.0615617,
            -0.0603879094,
            -0.0596583597,
            -0.0589288101,
            -0.0581992604,
            -0.0574697107,
            -0.0567401648,
            -0.0560106114,
            -0.0552810654,
            -0.0545515157,
            -0.0538219661,
            -0.0530924164,
            -0.0523628667,
            -0.051633317,
            -0.0509037673,
            -0.0501742177,
            -0.049444668,
            -0.0487151183,
            -0.0479855686,
            -0.047256019,
            -0.0465264693,
            -0.0457969196,
            -0.0450673699,
            -0.0443378203,
            -0.0436082706,
            -0.0428787209,
            -0.0421491712,
            -0.0414196216,
            -0.0406900719,
            -0.0399605222,
            -0.0392309725,
            -0.0385014229,
            -0.0377718732,
            -0.0368297771,
            -0.0353706777,
            -0.0339115784,
            -0.032452479,
            -0.0309933815,
            -0.0295342822,
            -0.0280751828,
            -0.0266160835,
            -0.025156986,
            -0.0236978866,
            -0.0222387873,
            -0.0207796879,
            -0.0193205886,
            -0.0178614892,
            -0.0164023899,
            -0.0149432905,
            -0.0135646136,
            -0.0125918817,
            -0.0116191488,
            -0.0106464159,
            -0.00967368297,
            -0.00870095007,
            -0.00772821717,
            -0.00675548427,
            -0.00578275137,
            -0.00481001846,
            -0.00383728649,
            -0.00286455359,
            -0.00189182069,
            -0.00091908779,
            5.36451116e-5,
            0.00102637801,
            0.00198953645,
            0.00271908613,
            0.00344863557,
            0.00417818502,
            0.00490773469,
            0.00563728437,
            0.00636683404,
            0.00709638372,
            0.0078259334,
            0.00855548307,
            0.00928503275,
            0.0100145815,
            0.0107441312,
            0.0114736808,
            0.0122032305,
            0.0129327802,
            0.0136623299,
            0.0143918796,
            0.0151214292,
            0.015850978,
            0.0165805276,
            0.0173100773,
            0.018039627,
            0.0187691767,
            0.0194987264,
            0.020228276,
            0.0209578257,
            0.0216873754,
            0.0224169251,
            0.0231464747,
            0.0238760244,
            0.0246055741,
            0.0253351219,
            0.0260646734,
            0.0267942231,
            0.0275237728,
            0.0282533206,
            0.0289828703,
            0.02971242,
            0.0304419696,
            0.0311715193,
            0.031901069,
            0.0326306187,
            0.0333601683,
            0.034089718,
            0.0348192677,
            0.0355488174,
            0.036278367,
            0.0370079167,
            0.0377374664,
            0.0384670161,
            0.0391965657,
            0.0399261154,
            0.0406556651,
            0.0413852148,
            0.0421147645,
            0.0428443141,
            0.0435738638,
            0.0443034135,
            0.0450329632,
            0.0457625128,
            0.0464920625,
            0.0472216122,
            0.0479511619,
            0.0486807078,
            0.0494102612,
            0.0501398109,
            0.0508693606,
            0.0515989065,
            0.0523284599,
            0.0530580059,
            0.0537875593,
            0.0545171052,
            0.0552466549,
            0.0559762046,
            0.0567057543,
            0.0574353039,
            0.0581648536,
            0.0588944033,
            0.059623953,
            0.0603535026,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0610600747,
            0.0620328076,
            0.0630055442,
            0.0639782697,
            0.0649510026,
            0.0659237355,
            0.0668964684,
            0.0678692013,
            0.0688419342,
            0.0698146671,
            0.0707874,
            0.0717601329,
            0.0727328658,
            0.0737055987,
            0.0746783316,
            0.0756510645,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764935911,
            0.0772231445,
            0.0779526904,
            0.0786822438,
            0.0794117898,
            0.0801413357,
            0.0808708891,
            0.0816004351,
            0.0823299885,
            0.0830595344,
            0.0837890878,
            0.0845186338,
            0.0852481872,
            0.0859777331,
            0.0867072865,
            0.0874368325,
            0.0881663859,
            0.0888959318,
            0.0896254852,
            0.0903550312,
            0.0910845846,
            0.0918141305,
            0.0925436839,
            0.0932732299,
            0.0940027833,
            0.0947323292,
            0.0954618827,
            0.0961914286,
            0.096920982,
            0.097650528,
            0.0983800814,
            0.0991096273,
            0.0998391807,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100476816,
            0.101206362,
            0.101935916,
            0.102665462,
            0.103395015,
            0.104124561,
            0.104854114,
            0.10558366,
            0.106313214,
            0.10704276,
            0.107772313,
            0.108501859,
            0.109231412,
            0.109960958,
            0.110690512,
            0.111420058,
            0.112662785,
            0.114365064,
            0.11606735,
            0.117769629,
            0.119471915,
            0.121174194,
            0.12287648,
            0.124578759,
            0.126281038,
            0.127983332,
            0.129685611,
            0.131387889,
            0.133090168,
            0.134792447,
            0.136494741,
            0.13819702,
            0.139801651,
            0.141260743,
            0.14271985,
            0.144178957,
            0.145638064,
            0.147097155,
            0.148556262,
            0.150015369,
            0.151474476,
            0.152933568,
            0.154392675,
            0.155851781,
            0.157310873,
            0.15876998,
            0.160229087,
            0.161688194,
            0.163616419,
            0.166777804,
            0.169939175,
            0.173100561,
            0.176261932,
            0.179423317,
            0.182584688,
            0.185746074,
            0.188907444,
            0.19206883,
            0.195230201,
            0.198391587,
            0.201552957,
            0.204714328,
            0.207875714,
            0.211037099,
            0.213943794,
            0.215402901,
            0.216861993,
            0.2183211,
            0.219780192,
            0.221239299,
            0.22269839,
            0.224157497,
            0.225616589,
            0.227075696,
            0.228534788,
            0.229993895,
            0.231452987,
            0.232912093,
            0.234371185,
            0.235830277,
            0.237272158,
            0.238001704,
            0.23873125,
            0.239460796,
            0.240190357,
            0.240919903,
            0.241649449,
            0.242378995,
            0.243108541,
            0.243838102,
            0.244567648,
            0.245297194,
            0.246026739,
            0.2467563,
            0.247485846,
            0.248215392,
            0.248944938,
            0.249674499,
            0.25040406,
            0.251133591,
            0.251863152,
            0.252592713,
            0.253322273,
            0.254051805,
            0.254781365,
            0.255510926,
            0.256240487,
            0.256970018,
            0.257699579,
            0.25842914,
            0.259158701,
            0.259888232,
            0.260617793,
            0.262097955,
            0.263800234,
            0.265502512,
            0.267204821,
            0.2689071,
            0.270609379,
            0.272311658,
            0.274013937,
            0.275716215,
            0.277418494,
            0.279120773,
            0.280823052,
            0.282525361,
            0.284227639,
            0.285929918,
            0.287632197,
            0.288706422,
            0.289435953,
            0.290165514,
            0.290895075,
            0.291624606,
            0.292354167,
            0.293083698,
            0.293813258,
            0.294542819,
            0.29527235,
            0.296001911,
            0.296731472,
            0.297461003,
            0.298190564,
            0.298920095,
            0.299649656,
            0.300379217,
            0.301108748,
            0.301838309,
            0.302567869,
            0.3032974,
            0.304026961,
            0.304756492,
            0.305486053,
            0.306215614,
            0.306945145,
            0.307674706,
            0.308404267,
            0.309133798,
            0.309863359,
            0.31059289,
            0.311322451,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.312413901,
            0.313143462,
            0.313872993,
            0.314602554,
            0.315332115,
            0.316061646,
            0.316791207,
            0.317520738,
            0.318250299,
            0.318979859,
            0.31970939,
            0.320438951,
            0.321168512,
            0.321898043,
            0.322627604,
            0.323357135,
            0.324272424,
            0.325245172,
            0.32621789,
            0.327190638,
            0.328163356,
            0.329136103,
            0.330108821,
            0.331081569,
            0.332054287,
            0.333027035,
            0.333999753,
            0.334972501,
            0.335945219,
            0.336917967,
            0.337890685,
            0.338863432,
            0.340146363,
            0.341605455,
            0.343064547,
            0.344523668,
            0.34598276,
            0.347441852,
            0.348900944,
            0.350360066,
            0.351819158,
            0.35327825,
            0.354737341,
            0.356196463,
            0.357655555,
            0.359114647,
            0.360573739,
            0.362032861,
            0.363118559,
            0.36384812,
            0.364577651,
            0.365307212,
            0.366036743,
            0.366766304,
            0.367495865,
            0.368225396,
            0.368954957,
            0.369684517,
            0.370414048,
            0.371143609,
            0.37187314,
            0.372602701,
            0.373332262,
            0.374061793,
            0.374791354,
            0.375520915,
            0.376250446,
            0.376980007,
            0.377709538,
            0.378439099,
            0.379168659,
            0.37989819,
            0.380627751,
            0.381357312,
            0.382086843,
            0.382816404,
            0.383545935,
            0.384275496,
            0.385005057,
            0.385734588,
            0.38652733,
            0.387500077,
            0.388472795,
            0.389445543,
            0.390418261,
            0.391391009,
            0.392363727,
            0.393336475,
            0.394309193,
            0.395281941,
            0.396254659,
            0.397227407,
            0.398200125,
            0.399172872,
            0.40014559,
            0.401118338,
            0.402058512,
            0.402788043,
            0.403517604,
            0.404247135,
            0.404976696,
            0.405706227,
            0.406435788,
            0.407165319,
            0.40789488,
            0.408624411,
            0.409353971,
            0.410083503,
            0.410813063,
            0.411542594,
            0.412272155,
            0.413001686,
            0.413731247,
            0.414460778,
            0.415190339,
            0.4159199,
            0.416649461,
            0.417378992,
            0.418108553,
            0.418838114,
            0.419567674,
            0.420297205,
            0.421026766,
            0.421756327,
            0.422485888,
            0.423215419,
            0.42394498,
            0.424674541,
            0.425404102,
            0.426133633,
            0.426863194,
            0.427592754,
            0.428322285,
            0.429051846,
            0.429781377,
            0.430510938,
            0.431240499,
            0.43197003,
            0.432699591,
            0.433429152,
            0.434158683,
            0.434888244,
            0.435617775,
            0.436347336,
            0.437076896,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437622607,
            0.438352168,
            0.439081699,
            0.43981126,
            0.44054082,
            0.441270351,
            0.441999912,
            0.442729473,
            0.443459004,
            0.444188565,
            0.444918096,
            0.445647657,
            0.446377218,
            0.447106749,
            0.44783631,
            0.448565871,
            0.449295402,
            0.450024962,
            0.450754493,
            0.451484054,
            0.452213615,
            0.452943146,
            0.453672707,
            0.454402268,
            0.455131799,
            0.45586136,
            0.456590891,
            0.457320452,
            0.458050013,
            0.458779544,
            0.459509104,
            0.460238636,
            0.460600555,
            0.459870994,
            0.459141463,
            0.458411902,
            0.457682341,
            0.45695281,
            0.456223249,
            0.455493718,
            0.454764158,
            0.454034597,
            0.453305066,
            0.452575505,
            0.451845944,
            0.451116413,
            0.450386852,
            0.449657321,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967
          ],
          [
            0.44901967,
            0.449749231,
            0.450478762,
            0.451208323,
            0.451937854,
            0.452667415,
            0.453396976,
            0.454126507,
            0.454856068,
            0.455585629,
            0.45631516,
            0.457044721,
            0.457774252,
            0.458503813,
            0.459233373,
            0.459962904,
            0.460692465,
            0.461634576,
            0.462607294,
            0.463580042,
            0.46455276,
            0.465525508,
            0.466498256,
            0.467470974,
            0.468443722,
            0.46941644,
            0.470389187,
            0.471361935,
            0.472334653,
            0.473307401,
            0.474280149,
            0.475252867,
            0.476225615,
            0.477016419,
            0.47774598,
            0.478475511,
            0.479205072,
            0.479934603,
            0.480664164,
            0.481393695,
            0.482123256,
            0.482852787,
            0.483582348,
            0.484311879,
            0.48504144,
            0.485770971,
            0.486500531,
            0.487230062,
            0.487959623,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.488235354,
            0.487873465,
            0.487143904,
            0.486414373,
            0.485684812,
            0.484955281,
            0.48422572,
            0.483496189,
            0.482766628,
            0.482037097,
            0.481307536,
            0.480578005,
            0.479848444,
            0.479118913,
            0.478389353,
            0.477659822,
            0.476930261,
            0.476110727,
            0.475137979,
            0.474165261,
            0.473192513,
            0.472219765,
            0.471247047,
            0.470274299,
            0.469301552,
            0.468328834,
            0.467356086,
            0.466383368,
            0.46541062,
            0.464437872,
            0.463465154,
            0.462492406,
            0.461519659,
            0.460606307,
            0.459876746,
            0.459147185,
            0.458417654,
            0.457688093,
            0.456958562,
            0.456229001,
            0.45549944,
            0.454769909,
            0.454040349,
            0.453310788,
            0.452581257,
            0.451851696,
            0.451122165,
            0.450392604,
            0.449663043,
            0.448933512,
            0.448203951,
            0.44747439,
            0.446744859,
            0.446015298,
            0.445285767,
            0.444556206,
            0.443826646,
            0.443097115,
            0.442367554,
            0.441637993,
            0.440908462,
            0.440178901,
            0.43944937,
            0.438719809,
            0.437990248,
            0.437260717,
            0.436531156,
            0.435801625,
            0.435072064,
            0.434342504,
            0.433612972,
            0.432883412,
            0.432153851,
            0.43142432,
            0.430694759,
            0.429965228,
            0.429235667,
            0.428506106,
            0.427776575,
            0.427047014,
            0.426317453,
            0.425587922,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.424950272,
            0.424220711,
            0.42349118,
            0.422761619,
            0.422032058,
            0.421302497,
            0.420572966,
            0.419843405,
            0.419113845,
            0.418384284,
            0.417654753,
            0.416925192,
            0.416195631,
            0.41546607,
            0.414736539,
            0.414006978,
            0.41268,
            0.410977721,
            0.409275442,
            0.407573164,
            0.405870885,
            0.404168606,
            0.402466327,
            0.400764048,
            0.399061769,
            0.39735949,
            0.395657212,
            0.393954933,
            0.392252654,
            0.390550375,
            0.388848096,
            0.387145817,
            0.385206103,
            0.383017451,
            0.380828798,
            0.378640145,
            0.376451492,
            0.374262869,
            0.372074217,
            0.369885564,
            0.367696911,
            0.365508258,
            0.363319606,
            0.361130953,
            0.35894233,
            0.356753677,
            0.354565024,
            0.352376372,
            0.350716203,
            0.349986672,
            0.349257112,
            0.348527551,
            0.34779802,
            0.347068459,
            0.346338928,
            0.345609367,
            0.344879806,
            0.344150275,
            0.343420714,
            0.342691183,
            0.341961622,
            0.341232061,
            0.34050253,
            0.339772969,
            0.33898598,
            0.338013232,
            0.337040514,
            0.336067766,
            0.335095048,
            0.3341223,
            0.333149582,
            0.332176834,
            0.331204116,
            0.330231369,
            0.329258651,
            0.328285903,
            0.327313185,
            0.326340437,
            0.325367719,
            0.324394971,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.324364334,
            0.325337082,
            0.3263098,
            0.327282548,
            0.328255266,
            0.329228014,
            0.330200732,
            0.33117348,
            0.332146198,
            0.333118945,
            0.334091663,
            0.335064411,
            0.336037129,
            0.337009877,
            0.337982595,
            0.338955343,
            0.339749992,
            0.340479553,
            0.341209084,
            0.341938645,
            0.342668205,
            0.343397737,
            0.344127297,
            0.344856828,
            0.345586389,
            0.34631595,
            0.347045481,
            0.347775042,
            0.348504603,
            0.349234134,
            0.349963695,
            0.350693226,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350162834,
            0.348460555,
            0.346758276,
            0.345055968,
            0.343353689,
            0.34165141,
            0.339949131,
            0.338246852,
            0.336544573,
            0.334842294,
            0.333140016,
            0.331437737,
            0.329735428,
            0.328033149,
            0.32633087,
            0.324628592,
            0.323012471,
            0.321553379,
            0.320094287,
            0.318635166,
            0.317176074,
            0.315716982,
            0.31425789,
            0.312798798,
            0.311339676,
            0.309880584,
            0.308421493,
            0.306962401,
            0.305503279,
            0.304044187,
            0.302585095,
            0.301126003,
            0.299666882,
            0.29820779,
            0.296748698,
            0.295289606,
            0.293830514,
            0.292371422,
            0.29091233,
            0.289453238,
            0.287994117,
            0.286535025,
            0.285075933,
            0.283616841,
            0.282157749,
            0.280698657,
            0.279239565,
            0.277780473,
            0.276371151,
            0.275398403,
            0.274425685,
            0.273452938,
            0.27248019,
            0.271507472,
            0.270534724,
            0.269562006,
            0.268589258,
            0.26761651,
            0.266643792,
            0.265671045,
            0.264698327,
            0.263725579,
            0.262752831,
            0.261780113,
            0.260807365,
            0.260072082,
            0.259342521,
            0.258612961,
            0.2578834,
            0.257153869,
            0.256424308,
            0.255694747,
            0.254965186,
            0.254235655,
            0.253506094,
            0.252776533,
            0.252046973,
            0.251317441,
            0.250587881,
            0.24985832,
            0.249128774,
            0.247778818,
            0.246319711,
            0.244860619,
            0.243401513,
            0.241942421,
            0.240483314,
            0.239024222,
            0.237565115,
            0.236106023,
            0.234646916,
            0.233187824,
            0.231728718,
            0.230269626,
            0.228810519,
            0.227351427,
            0.22589232,
            0.224433228,
            0.222974136,
            0.221515045,
            0.220055938,
            0.218596846,
            0.217137754,
            0.215678662,
            0.214219555,
            0.212760463,
            0.211301371,
            0.20984228,
            0.208383173,
            0.206924081,
            0.205464989,
            0.204005897,
            0.202546805,
            0.200942174,
            0.19923988,
            0.197537601,
            0.195835307,
            0.194133028,
            0.192430735,
            0.190728456,
            0.189026162,
            0.187323883,
            0.185621589,
            0.183919311,
            0.182217032,
            0.180514738,
            0.178812444,
            0.177110165,
            0.175407887,
            0.173820481,
            0.172361389,
            0.170902282,
            0.16944319,
            0.167984083,
            0.166524991,
            0.165065885,
            0.163606793,
            0.162147686,
            0.160688594,
            0.159229487,
            0.157770395,
            0.156311303,
            0.154852197,
            0.15339309,
            0.151933998,
            0.15039064,
            0.148688361,
            0.146986082,
            0.145283803,
            0.14358151,
            0.141879231,
            0.140176952,
            0.138474673,
            0.136772394,
            0.1350701,
            0.133367822,
            0.131665543,
            0.129963249,
            0.12826097,
            0.126558691,
            0.124856412,
            0.123368591,
            0.122639038,
            0.121909492,
            0.121179938,
            0.120450392,
            0.119720839,
            0.118991293,
            0.11826174,
            0.117532194,
            0.11680264,
            0.116073094,
            0.115343541,
            0.114613995,
            0.113884442,
            0.113154896,
            0.112425342,
            0.111695796,
            0.110966243,
            0.110236697,
            0.109507143,
            0.108777598,
            0.108048044,
            0.107318498,
            0.106588945,
            0.105859399,
            0.105129845,
            0.104400299,
            0.103670746,
            0.1029412,
            0.102211654,
            0.101482101,
            0.100752547,
            0.100023001,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0993853658,
            0.0986558124,
            0.0979262665,
            0.0971967131,
            0.0964671671,
            0.0957376137,
            0.0950080678,
            0.0942785144,
            0.0935489684,
            0.092819415,
            0.0920898691,
            0.0913603157,
            0.0906307697,
            0.0899012163,
            0.0891716704,
            0.088442117,
            0.087712571,
            0.0869830176,
            0.0862534717,
            0.0855239183,
            0.0847943723,
            0.0840648264,
            0.083335273,
            0.0826057196,
            0.0818761736,
            0.0811466277,
            0.0804170743,
            0.0796875209,
            0.0789579749,
            0.078228429,
            0.0774988756,
            0.0767693296,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0762638152,
            0.0752910823,
            0.0743183494,
            0.0733456165,
            0.0723728836,
            0.0714001507,
            0.0704274178,
            0.0694546849,
            0.068481952,
            0.0675092191,
            0.0665364861,
            0.0655637532,
            0.0645910203,
            0.0636182874,
            0.0626455545,
            0.0616728216,
            0.0607211515,
            0.0599916019,
            0.0592620522,
            0.0585325025,
            0.0578029528,
            0.0570734031,
            0.0563438535,
            0.0556143038,
            0.0548847541,
            0.0541552044,
            0.0534256548,
            0.0526961051,
            0.0519665554,
            0.0512370057,
            0.0505074561,
            0.0497779064,
            0.0490483567,
            0.0476179793,
            0.04615888,
            0.0446997806,
            0.0432406813,
            0.0417815819,
            0.0403224826,
            0.0388633832,
            0.0374042839,
            0.0359451883,
            0.0344860889,
            0.0330269895,
            0.0315678902,
            0.0301087908,
            0.0286496915,
            0.0271905921,
            0.0257314928,
            0.0234605074,
            0.0210286751,
            0.0185968429,
            0.0161650106,
            0.0137331784,
            0.0113013461,
            0.00886951387,
            0.00643768348,
            0.00400585122,
            0.00157401897,
            -0.000857813284,
            -0.00328964554,
            -0.00572147779,
            -0.00815330818,
            -0.0105851404,
            -0.0130169727,
            -0.0152764702,
            -0.0174651183,
            -0.0196537673,
            -0.0218424164,
            -0.0240310654,
            -0.0262197144,
            -0.0284083635,
            -0.0305970125,
            -0.0327856615,
            -0.0349743068,
            -0.0371629596,
            -0.0393516049,
            -0.0415402576,
            -0.0437289029,
            -0.045917552,
            -0.048106201,
            -0.0504365489,
            -0.0528683811,
            -0.0553002134,
            -0.0577320457,
            -0.0601638779,
            -0.0625957102,
            -0.0650275424,
            -0.0674593747,
            -0.0698911995,
            -0.0723230392,
            -0.074754864,
            -0.0771867037,
            -0.0796185285,
            -0.0820503682,
            -0.084482193,
            -0.0869140327,
            -0.0892347991,
            -0.0914234519,
            -0.0936120972,
            -0.0958007425,
            -0.0979893953,
            -0.100178041,
            -0.102366693,
            -0.104555339,
            -0.106743991,
            -0.108932637,
            -0.111121289,
            -0.113309935,
            -0.115498587,
            -0.117687233,
            -0.119875878,
            -0.122064531,
            -0.124092333,
            -0.125794619,
            -0.127496898,
            -0.129199192,
            -0.130901471,
            -0.13260375,
            -0.134306043,
            -0.136008322,
            -0.137710601,
            -0.139412895,
            -0.141115174,
            -0.142817467,
            -0.144519746,
            -0.146222025,
            -0.147924319,
            -0.149626598,
            -0.151129737,
            -0.151859283,
            -0.152588844,
            -0.15331839,
            -0.154047936,
            -0.154777482,
            -0.155507043,
            -0.156236589,
            -0.156966135,
            -0.157695681,
            -0.158425242,
            -0.159154788,
            -0.159884334,
            -0.16061388,
            -0.16134344,
            -0.162072986,
            -0.162802532,
            -0.163532078,
            -0.164261639,
            -0.164991185,
            -0.165720731,
            -0.166450277,
            -0.167179838,
            -0.167909384,
            -0.16863893,
            -0.169368476,
            -0.170098037,
            -0.170827582,
            -0.171557128,
            -0.172286674,
            -0.17301622,
            -0.173745781,
            -0.174475327,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.173906624,
            -0.173177078,
            -0.172447518,
            -0.171717972,
            -0.170988426,
            -0.17025888,
            -0.169529319,
            -0.168799773,
            -0.168070227,
            -0.167340681,
            -0.16661112,
            -0.165881574,
            -0.165152028,
            -0.164422482,
            -0.163692921,
            -0.162963375,
            -0.162233829,
            -0.161504284,
            -0.160774723,
            -0.160045177,
            -0.159315631,
            -0.158586085,
            -0.157856524,
            -0.157126978,
            -0.156397432,
            -0.155667886,
            -0.15493834,
            -0.154208779,
            -0.153479233,
            -0.152749687,
            -0.152020141,
            -0.151290581,
            -0.150001898,
            -0.14829962,
            -0.146597341,
            -0.144895047,
            -0.143192768,
            -0.141490489,
            -0.139788195,
            -0.138085917,
            -0.136383638,
            -0.134681344,
            -0.132979065,
            -0.131276786,
            -0.129574493,
            -0.127872214,
            -0.12616992,
            -0.124467641,
            -0.123201936,
            -0.122472383,
            -0.121742837,
            -0.121013284,
            -0.12028373,
            -0.119554184,
            -0.118824631,
            -0.118095078,
            -0.117365524,
            -0.116635978,
            -0.115906425,
            -0.115176871,
            -0.114447318,
            -0.113717772,
            -0.112988219,
            -0.112258665,
            -0.111529119,
            -0.110799566,
            -0.11007002,
            -0.109340474,
            -0.108610928,
            -0.107881375,
            -0.107151829,
            -0.106422283,
            -0.105692737,
            -0.104963183,
            -0.104233637,
            -0.103504092,
            -0.102774546,
            -0.102045,
            -0.101315446,
            -0.1005859,
            -0.100143574,
            -0.10087312,
            -0.101602674,
            -0.102332219,
            -0.103061765,
            -0.103791311,
            -0.104520865,
            -0.105250411,
            -0.105979957,
            -0.106709503,
            -0.107439056,
            -0.108168602,
            -0.108898148,
            -0.109627694,
            -0.110357247,
            -0.111086793,
            -0.111885272,
            -0.113587558,
            -0.115289845,
            -0.116992131,
            -0.118694417,
            -0.120396703,
            -0.12209899,
            -0.123801276,
            -0.12550357,
            -0.127205849,
            -0.128908128,
            -0.130610421,
            -0.132312715,
            -0.134014994,
            -0.135717273,
            -0.137419567,
            -0.139121845,
            -0.140594348,
            -0.142053455,
            -0.143512547,
            -0.144971654,
            -0.146430746,
            -0.147889853,
            -0.149348944,
            -0.150808051,
            -0.152267143,
            -0.15372625,
            -0.155185342,
            -0.156644449,
            -0.158103541,
            -0.159562647,
            -0.161021739,
            -0.162480846,
            -0.163939938,
            -0.165399045,
            -0.166858137,
            -0.168317243,
            -0.169776335,
            -0.171235442,
            -0.172694534,
            -0.174153641,
            -0.175612733,
            -0.17707184,
            -0.178530931,
            -0.179990038,
            -0.18144913,
            -0.182908237,
            -0.184367329,
            -0.185826421,
            -0.186780021,
            -0.187509567,
            -0.188239112,
            -0.188968658,
            -0.189698219,
            -0.190427765,
            -0.191157311,
            -0.191886857,
            -0.192616403,
            -0.193345964,
            -0.19407551,
            -0.194805056,
            -0.195534602,
            -0.196264163,
            -0.196993709,
            -0.197723255,
            -0.198590681,
            -0.199563414,
            -0.200536147,
            -0.20150888,
            -0.202481613,
            -0.203454345,
            -0.204427063,
            -0.205399811,
            -0.206372529,
            -0.207345277,
            -0.208317995,
            -0.209290743,
            -0.210263461,
            -0.211236194,
            -0.212208927,
            -0.21318166,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.214185029,
            -0.215644136,
            -0.217103228,
            -0.218562335,
            -0.220021427,
            -0.221480533,
            -0.222939625,
            -0.224398732,
            -0.225857824,
            -0.227316931,
            -0.228776023,
            -0.23023513,
            -0.231694221,
            -0.233153328,
            -0.23461242,
            -0.236071527,
            -0.237392753,
            -0.238122299,
            -0.23885186,
            -0.239581406,
            -0.240310952,
            -0.241040498,
            -0.241770059,
            -0.242499605,
            -0.243229151,
            -0.243958697,
            -0.244688258,
            -0.245417804,
            -0.246147349,
            -0.246876895,
            -0.247606456,
            -0.248336002,
            -0.249065548,
            -0.249795094,
            -0.25052464,
            -0.251254201,
            -0.251983762,
            -0.252713293,
            -0.253442854,
            -0.254172415,
            -0.254901946,
            -0.255631506,
            -0.256361067,
            -0.257090628,
            -0.257820159,
            -0.25854972,
            -0.259279281,
            -0.260008812,
            -0.260738373,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260376483,
            -0.259646922,
            -0.258917361,
            -0.258187801,
            -0.25745827,
            -0.256728709,
            -0.255999148,
            -0.255269617,
            -0.254540056,
            -0.253810495,
            -0.253080964,
            -0.252351403,
            -0.251621842,
            -0.250892311,
            -0.25016275,
            -0.24943319,
            -0.248387694,
            -0.246928602,
            -0.245469496,
            -0.244010404,
            -0.242551297,
            -0.241092205,
            -0.239633098,
            -0.238174006,
            -0.2367149,
            -0.235255808,
            -0.233796716,
            -0.232337609,
            -0.230878502,
            -0.22941941,
            -0.227960318,
            -0.226501212,
            -0.224967435,
            -0.223265156,
            -0.221562862,
            -0.219860584,
            -0.218158305,
            -0.216456026,
            -0.214753747,
            -0.213051453,
            -0.211349174,
            -0.209646896,
            -0.207944617,
            -0.206242323,
            -0.204540044,
            -0.202837765,
            -0.201135486,
            -0.199433193,
            -0.197907075,
            -0.197177529,
            -0.196447983,
            -0.195718437,
            -0.194988877,
            -0.194259331,
            -0.193529785,
            -0.192800239,
            -0.192070678,
            -0.191341132,
            -0.190611586,
            -0.18988204,
            -0.189152479,
            -0.188422933,
            -0.187693387,
            -0.186963841,
            -0.18623428,
            -0.185504735,
            -0.184775189,
            -0.184045643,
            -0.183316082,
            -0.182586536,
            -0.18185699,
            -0.181127444,
            -0.180397898,
            -0.179668337,
            -0.178938791,
            -0.178209245,
            -0.177479684,
            -0.176750138,
            -0.176020592,
            -0.175291047,
            -0.174561501,
            -0.17383194,
            -0.173102394,
            -0.172372848,
            -0.171643302,
            -0.170913741,
            -0.170184195,
            -0.169454649,
            -0.168725103,
            -0.167995542,
            -0.167265996,
            -0.16653645,
            -0.165806904,
            -0.165077344,
            -0.164347798,
            -0.163618252,
            -0.162888706,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162251055,
            -0.161521509,
            -0.160791963,
            -0.160062417,
            -0.159332871,
            -0.158603311,
            -0.157873765,
            -0.157144219,
            -0.156414673,
            -0.155685112,
            -0.154955566,
            -0.15422602,
            -0.153496474,
            -0.152766913,
            -0.152037367,
            -0.151307821,
            -0.150578275,
            -0.149848714,
            -0.149119169,
            -0.148389623,
            -0.147660077,
            -0.146930516,
            -0.14620097,
            -0.145471424,
            -0.144741878,
            -0.144012317,
            -0.143282771,
            -0.142553225,
            -0.141823679,
            -0.141094118,
            -0.140364572,
            -0.139635026,
            -0.138802081,
            -0.137829334,
            -0.136856601,
            -0.135883868,
            -0.134911135,
            -0.133938402,
            -0.132965669,
            -0.131992936,
            -0.131020203,
            -0.13004747,
            -0.129074723,
            -0.12810199,
            -0.127129257,
            -0.126156524,
            -0.125183791,
            -0.124211058,
            -0.12331108,
            -0.122581534,
            -0.121851981,
            -0.121122427,
            -0.120392881,
            -0.119663328,
            -0.118933775,
            -0.118204221,
            -0.117474675,
            -0.116745122,
            -0.116015568,
            -0.115286015,
            -0.114556469,
            -0.113826916,
            -0.113097362,
            -0.112367809,
            -0.111638263,
            -0.110908717,
            -0.110179164,
            -0.109449618,
            -0.108720072,
            -0.107990526,
            -0.107260972,
            -0.106531426,
            -0.10580188,
            -0.105072334,
            -0.104342781,
            -0.103613235,
            -0.102883689,
            -0.102154143,
            -0.10142459,
            -0.100695044,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0993278623,
            -0.0985983089,
            -0.0978687629,
            -0.0971392095,
            -0.0964096636,
            -0.0956801102,
            -0.0949505642,
            -0.0942210108,
            -0.0934914649,
            -0.0927619115,
            -0.0920323655,
            -0.0913028121,
            -0.0905732661,
            -0.0898437127,
            -0.0891141668,
            -0.0883846134,
            -0.0876550674,
            -0.086925514,
            -0.0861959681,
            -0.0854664147,
            -0.0847368687,
            -0.0840073153,
            -0.0832777694,
            -0.082548216,
            -0.08181867,
            -0.0810891166,
            -0.0803595707,
            -0.0796300173,
            -0.0789004713,
            -0.0781709254,
            -0.077441372,
            -0.0767118186,
            -0.0758195147,
            -0.0748467818,
            -0.0738740489,
            -0.072901316,
            -0.0719285831,
            -0.0709558502,
            -0.0699831173,
            -0.0690103844,
            -0.0680376515,
            -0.0670649186,
            -0.0660921857,
            -0.0651194528,
            -0.0641467199,
            -0.063173987,
            -0.0622012541,
            -0.0612285212,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0604798235,
            -0.0597502738,
            -0.0590207241,
            -0.0582911745,
            -0.0575616248,
            -0.0568320751,
            -0.0561025254,
            -0.0553729758,
            -0.0546434261,
            -0.0539138764,
            -0.0531843267,
            -0.0524547771,
            -0.0517252274,
            -0.0509956777,
            -0.050266128,
            -0.0495365784,
            -0.0488070287,
            -0.048077479,
            -0.0473479293,
            -0.0466183797,
            -0.04588883,
            -0.0451592803,
            -0.0444297306,
            -0.0437001809,
            -0.0429706313,
            -0.0422410816,
            -0.0415115319,
            -0.0407819822,
            -0.0400524363,
            -0.0393228829,
            -0.0385933369,
            -0.0378637835,
            -0.0370136015,
            -0.0355545022,
            -0.0340954028,
            -0.0326363035,
            -0.0311772041,
            -0.0297181047,
            -0.0282590054,
            -0.026799906,
            -0.0253408086,
            -0.0238817092,
            -0.0224226099,
            -0.0209635105,
            -0.0195044111,
            -0.0180453118,
            -0.0165862124,
            -0.0151271131,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0137254596,
            -0.0128369797,
            -0.0118642468,
            -0.0108915139,
            -0.009918781,
            -0.0089460481,
            -0.00797331519,
            -0.00700058229,
            -0.00602784986,
            -0.00505511649,
            -0.00408238452,
            -0.00310965162,
            -0.00213691872,
            -0.00116418581,
            -0.000191452913,
            0.000781279989,
            0.00175401289,
            0.00253526261,
            0.00326481205,
            0.0039943615,
            0.00472391117,
            0.00545346085,
            0.00618301053,
            0.0069125602,
            0.00764210941,
            0.00837165862,
            0.0091012083,
            0.00983075798,
            0.0105603077,
            0.0112898573,
            0.012019407,
            0.0127489567,
            0.0134785064,
            0.0146905929,
            0.0161496922,
            0.0176087916,
            0.0190678909,
            0.0205269903,
            0.0219860896,
            0.023445189,
            0.0249042865,
            0.0263633858,
            0.0278224852,
            0.0292815845,
            0.0307406839,
            0.0321997851,
            0.0336588845,
            0.0351179838,
            0.0365770794,
            0.037645556,
            0.0383751057,
            0.0391046554,
            0.0398342013,
            0.0405637547,
            0.0412933007,
            0.0420228541,
            0.0427524,
            0.0434819497,
            0.0442114994,
            0.0449410491,
            0.0456705987,
            0.0464001484,
            0.0471296981,
            0.0478592478,
            0.0485887975,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0492264368,
            0.0499559864,
            0.0506855361,
            0.0514150858,
            0.0521446355,
            0.0528741851,
            0.0536037348,
            0.0543332845,
            0.0550628342,
            0.0557923838,
            0.0565219335,
            0.0572514832,
            0.0579810292,
            0.0587105826,
            0.0594401285,
            0.0601696819,
            0.0609375276,
            0.0619102605,
            0.0628829896,
            0.0638557225,
            0.0648284554,
            0.0658011883,
            0.0667739213,
            0.0677466542,
            0.0687193871,
            0.06969212,
            0.0706648529,
            0.0716375858,
            0.0726103187,
            0.0735830516,
            0.0745557845,
            0.0755285174,
            0.0765165687,
            0.077975668,
            0.0794347674,
            0.0808938667,
            0.0823529661,
            0.0838120654,
            0.0852711648,
            0.0867302641,
            0.0881893635,
            0.0896484628,
            0.0911075622,
            0.0925666615,
            0.0940257609,
            0.0954848602,
            0.0969439596,
            0.0984030589,
            0.0998621583,
            0.100660637,
            0.10139019,
            0.102119736,
            0.10284929,
            0.103578836,
            0.104308389,
            0.105037935,
            0.105767488,
            0.106497034,
            0.107226588,
            0.107956134,
            0.108685687,
            0.109415233,
            0.110144787,
            0.110874332,
            0.111603886,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.111764729,
            0.112241521,
            0.112971067,
            0.113700621,
            0.114430167,
            0.11515972,
            0.115889266,
            0.11661882,
            0.117348365,
            0.118077919,
            0.118807465,
            0.119537018,
            0.120266564,
            0.120996118,
            0.121725664,
            0.122455217,
            0.123184763,
            0.124042608,
            0.125015348,
            0.125988066,
            0.126960814,
            0.127933532,
            0.12890628,
            0.129878998,
            0.130851731,
            0.131824464,
            0.132797197,
            0.133769929,
            0.134742662,
            0.135715395,
            0.136688128,
            0.137660861,
            0.138633594,
            0.139801651,
            0.141260743,
            0.14271985,
            0.144178957,
            0.145638064,
            0.147097155,
            0.148556262,
            0.150015369,
            0.151474476,
            0.152933568,
            0.154392675,
            0.155851781,
            0.157310873,
            0.15876998,
            0.160229087,
            0.161688194,
            0.163415372,
            0.165847197,
            0.168279037,
            0.170710862,
            0.173142701,
            0.175574526,
            0.178006366,
            0.180438191,
            0.18287003,
            0.185301855,
            0.18773368,
            0.19016552,
            0.192597359,
            0.195029184,
            0.197461009,
            0.199892849,
            0.202179149,
            0.203638241,
            0.205097347,
            0.206556439,
            0.208015531,
            0.209474623,
            0.21093373,
            0.212392822,
            0.213851914,
            0.215311006,
            0.216770113,
            0.218229204,
            0.219688296,
            0.221147388,
            0.22260648,
            0.224065587,
            0.225507453,
            0.226236999,
            0.226966545,
            0.227696091,
            0.228425652,
            0.229155198,
            0.229884744,
            0.23061429,
            0.231343836,
            0.232073396,
            0.232802942,
            0.233532488,
            0.234262034,
            0.234991595,
            0.235721141,
            0.236450687,
            0.237180233,
            0.237909794,
            0.23863934,
            0.239368886,
            0.240098432,
            0.240827993,
            0.241557539,
            0.242287084,
            0.24301663,
            0.243746191,
            0.244475737,
            0.245205283,
            0.245934829,
            0.24666439,
            0.247393936,
            0.248123482,
            0.248853028,
            0.25033319,
            0.252035499,
            0.253737777,
            0.255440056,
            0.257142365,
            0.258844644,
            0.260546952,
            0.262249231,
            0.26395151,
            0.265653819,
            0.267356098,
            0.269058377,
            0.270760685,
            0.272462964,
            0.274165273,
            0.275867552,
            0.276941776,
            0.277671307,
            0.278400868,
            0.279130399,
            0.27985996,
            0.280589491,
            0.281319052,
            0.282048583,
            0.282778144,
            0.283507675,
            0.284237236,
            0.284966767,
            0.285696328,
            0.286425859,
            0.28715542,
            0.287884951,
            0.288614511,
            0.289344043,
            0.290073603,
            0.290803164,
            0.291532695,
            0.292262256,
            0.292991787,
            0.293721348,
            0.294450909,
            0.29518044,
            0.295910001,
            0.296639562,
            0.297369093,
            0.298098654,
            0.298828185,
            0.299557745,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300103486,
            0.300833017,
            0.301562577,
            0.302292109,
            0.303021669,
            0.30375123,
            0.304480761,
            0.305210322,
            0.305939883,
            0.306669414,
            0.307398975,
            0.308128506,
            0.308858067,
            0.309587628,
            0.310317159,
            0.31104672,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.312413901,
            0.313143462,
            0.313872993,
            0.314602554,
            0.315332115,
            0.316061646,
            0.316791207,
            0.317520738,
            0.318250299,
            0.318979859,
            0.31970939,
            0.320438951,
            0.321168512,
            0.321898043,
            0.322627604,
            0.323357135,
            0.324272424,
            0.325245172,
            0.32621789,
            0.327190638,
            0.328163356,
            0.329136103,
            0.330108821,
            0.331081569,
            0.332054287,
            0.333027035,
            0.333999753,
            0.334972501,
            0.335945219,
            0.336917967,
            0.337890685,
            0.338863432,
            0.340146363,
            0.341605455,
            0.343064547,
            0.344523668,
            0.34598276,
            0.347441852,
            0.348900944,
            0.350360066,
            0.351819158,
            0.35327825,
            0.354737341,
            0.356196463,
            0.357655555,
            0.359114647,
            0.360573739,
            0.362032861,
            0.363118559,
            0.36384812,
            0.364577651,
            0.365307212,
            0.366036743,
            0.366766304,
            0.367495865,
            0.368225396,
            0.368954957,
            0.369684517,
            0.370414048,
            0.371143609,
            0.37187314,
            0.372602701,
            0.373332262,
            0.374061793,
            0.374791354,
            0.375520915,
            0.376250446,
            0.376980007,
            0.377709538,
            0.378439099,
            0.379168659,
            0.37989819,
            0.380627751,
            0.381357312,
            0.382086843,
            0.382816404,
            0.383545935,
            0.384275496,
            0.385005057,
            0.385734588,
            0.38652733,
            0.387500077,
            0.388472795,
            0.389445543,
            0.390418261,
            0.391391009,
            0.392363727,
            0.393336475,
            0.394309193,
            0.395281941,
            0.396254659,
            0.397227407,
            0.398200125,
            0.399172872,
            0.40014559,
            0.401118338,
            0.402058512,
            0.402788043,
            0.403517604,
            0.404247135,
            0.404976696,
            0.405706227,
            0.406435788,
            0.407165319,
            0.40789488,
            0.408624411,
            0.409353971,
            0.410083503,
            0.410813063,
            0.411542594,
            0.412272155,
            0.413001686,
            0.413731247,
            0.414460778,
            0.415190339,
            0.4159199,
            0.416649461,
            0.417378992,
            0.418108553,
            0.418838114,
            0.419567674,
            0.420297205,
            0.421026766,
            0.421756327,
            0.422485888,
            0.423215419,
            0.42394498,
            0.424674541,
            0.425404102,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.425857902,
            0.426587462,
            0.427316993,
            0.428046554,
            0.428776115,
            0.429505646,
            0.430235207,
            0.430964768,
            0.431694299,
            0.43242386,
            0.433153391,
            0.433882952,
            0.434612513,
            0.435342044,
            0.436071604,
            0.436801165,
            0.437530696,
            0.438260257,
            0.438989788,
            0.439719349,
            0.44044891,
            0.441178441,
            0.441908002,
            0.442637563,
            0.443367094,
            0.444096655,
            0.444826186,
            0.445555747,
            0.446285307,
            0.447014838,
            0.447744399,
            0.44847393,
            0.44883585,
            0.448106289,
            0.447376758,
            0.446647197,
            0.445917636,
            0.445188105,
            0.444458544,
            0.443729013,
            0.442999452,
            0.442269892,
            0.44154036,
            0.4408108,
            0.440081239,
            0.439351708,
            0.438622147,
            0.437892616,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965
          ],
          [
            0.437254965,
            0.437984526,
            0.438714057,
            0.439443618,
            0.440173149,
            0.44090271,
            0.441632271,
            0.442361802,
            0.443091363,
            0.443820924,
            0.444550455,
            0.445280015,
            0.446009547,
            0.446739107,
            0.447468668,
            0.448198199,
            0.44892776,
            0.449657321,
            0.450386852,
            0.451116413,
            0.451845944,
            0.452575505,
            0.453305066,
            0.454034597,
            0.454764158,
            0.455493718,
            0.456223249,
            0.45695281,
            0.457682341,
            0.458411902,
            0.459141463,
            0.459870994,
            0.460600555,
            0.461511999,
            0.462484747,
            0.463457495,
            0.464430213,
            0.465402961,
            0.466375709,
            0.467348427,
            0.468321174,
            0.469293892,
            0.47026664,
            0.471239388,
            0.472212106,
            0.473184854,
            0.474157602,
            0.47513032,
            0.476103067,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.476470709,
            0.475988179,
            0.475015432,
            0.474042684,
            0.473069966,
            0.472097218,
            0.4711245,
            0.470151752,
            0.469179004,
            0.468206286,
            0.467233539,
            0.466260791,
            0.465288073,
            0.464315325,
            0.463342607,
            0.462369859,
            0.461397111,
            0.460514396,
            0.459784836,
            0.459055275,
            0.458325744,
            0.457596183,
            0.456866622,
            0.456137091,
            0.45540753,
            0.454677999,
            0.453948438,
            0.453218877,
            0.452489346,
            0.451759785,
            0.451030254,
            0.450300694,
            0.449571133,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.448933512,
            0.448203951,
            0.44747439,
            0.446744859,
            0.446015298,
            0.445285767,
            0.444556206,
            0.443826646,
            0.443097115,
            0.442367554,
            0.441637993,
            0.440908462,
            0.440178901,
            0.43944937,
            0.438719809,
            0.437990248,
            0.437260717,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.436714977,
            0.435985446,
            0.435255885,
            0.434526324,
            0.433796793,
            0.433067232,
            0.432337701,
            0.43160814,
            0.43087858,
            0.430149049,
            0.429419488,
            0.428689927,
            0.427960396,
            0.427230835,
            0.426501274,
            0.425771743,
            0.424594134,
            0.423135012,
            0.42167592,
            0.420216829,
            0.418757737,
            0.417298615,
            0.415839523,
            0.414380431,
            0.412921339,
            0.411462218,
            0.410003126,
            0.408544034,
            0.407084942,
            0.40562582,
            0.404166728,
            0.402707636,
            0.400773644,
            0.398341835,
            0.395909995,
            0.393478155,
            0.391046315,
            0.388614506,
            0.386182666,
            0.383750826,
            0.381318986,
            0.378887177,
            0.376455337,
            0.374023497,
            0.371591687,
            0.369159847,
            0.366728008,
            0.364296168,
            0.362480909,
            0.361751378,
            0.361021817,
            0.360292256,
            0.359562725,
            0.358833164,
            0.358103633,
            0.357374072,
            0.356644511,
            0.35591498,
            0.355185419,
            0.354455888,
            0.353726327,
            0.352996767,
            0.352267236,
            0.351537675,
            0.350808114,
            0.350078583,
            0.349349022,
            0.348619491,
            0.34788993,
            0.347160369,
            0.346430838,
            0.345701277,
            0.344971716,
            0.344242185,
            0.343512625,
            0.342783093,
            0.342053533,
            0.341323972,
            0.340594441,
            0.33986488,
            0.339108527,
            0.338135779,
            0.337163061,
            0.336190313,
            0.335217595,
            0.334244847,
            0.333272129,
            0.332299381,
            0.331326663,
            0.330353916,
            0.329381198,
            0.32840848,
            0.327435732,
            0.326462984,
            0.325490266,
            0.324517548,
            0.3235448,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.324364334,
            0.325337082,
            0.3263098,
            0.327282548,
            0.328255266,
            0.329228014,
            0.330200732,
            0.33117348,
            0.332146198,
            0.333118945,
            0.334091663,
            0.335064411,
            0.336037129,
            0.337009877,
            0.337982595,
            0.338955343,
            0.339749992,
            0.340479553,
            0.341209084,
            0.341938645,
            0.342668205,
            0.343397737,
            0.344127297,
            0.344856828,
            0.345586389,
            0.34631595,
            0.347045481,
            0.347775042,
            0.348504603,
            0.349234134,
            0.349963695,
            0.350693226,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350162834,
            0.348460555,
            0.346758276,
            0.345055968,
            0.343353689,
            0.34165141,
            0.339949131,
            0.338246852,
            0.336544573,
            0.334842294,
            0.333140016,
            0.331437737,
            0.329735428,
            0.328033149,
            0.32633087,
            0.324628592,
            0.323012471,
            0.321553379,
            0.320094287,
            0.318635166,
            0.317176074,
            0.315716982,
            0.31425789,
            0.312798798,
            0.311339676,
            0.309880584,
            0.308421493,
            0.306962401,
            0.305503279,
            0.304044187,
            0.302585095,
            0.301126003,
            0.299666882,
            0.29820779,
            0.296748698,
            0.295289606,
            0.293830514,
            0.292371422,
            0.29091233,
            0.289453238,
            0.287994117,
            0.286535025,
            0.285075933,
            0.283616841,
            0.282157749,
            0.280698657,
            0.279239565,
            0.277780473,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.274808645,
            0.273106366,
            0.271404058,
            0.269701779,
            0.26799947,
            0.266297191,
            0.264594913,
            0.262892604,
            0.261190325,
            0.259488046,
            0.257785738,
            0.256083459,
            0.25438118,
            0.252678871,
            0.250976592,
            0.249274299,
            0.247778818,
            0.246319711,
            0.244860619,
            0.243401513,
            0.241942421,
            0.240483314,
            0.239024222,
            0.237565115,
            0.236106023,
            0.234646916,
            0.233187824,
            0.231728718,
            0.230269626,
            0.228810519,
            0.227351427,
            0.22589232,
            0.223728567,
            0.221296743,
            0.218864903,
            0.216433078,
            0.214001238,
            0.211569414,
            0.209137574,
            0.206705749,
            0.204273909,
            0.201842085,
            0.199410245,
            0.19697842,
            0.19454658,
            0.192114756,
            0.189682931,
            0.187251091,
            0.185401365,
            0.183942273,
            0.182483181,
            0.181024089,
            0.179564983,
            0.178105891,
            0.176646799,
            0.175187707,
            0.1737286,
            0.172269508,
            0.170810416,
            0.169351324,
            0.167892218,
            0.166433126,
            0.164974034,
            0.163514942,
            0.162055835,
            0.160596728,
            0.159137636,
            0.15767853,
            0.156219423,
            0.154760331,
            0.153301224,
            0.151842117,
            0.150383011,
            0.148923919,
            0.147464812,
            0.146005705,
            0.144546598,
            0.143087506,
            0.141628399,
            0.140169293,
            0.138878703,
            0.13790597,
            0.136933237,
            0.135960504,
            0.134987772,
            0.134015039,
            0.133042306,
            0.132069573,
            0.13109684,
            0.130124107,
            0.129151374,
            0.128178641,
            0.127205908,
            0.126233175,
            0.125260442,
            0.12428771,
            0.123368591,
            0.122639038,
            0.121909492,
            0.121179938,
            0.120450392,
            0.119720839,
            0.118991293,
            0.11826174,
            0.117532194,
            0.11680264,
            0.116073094,
            0.115343541,
            0.114613995,
            0.113884442,
            0.113154896,
            0.112425342,
            0.111695796,
            0.110966243,
            0.110236697,
            0.109507143,
            0.108777598,
            0.108048044,
            0.107318498,
            0.106588945,
            0.105859399,
            0.105129845,
            0.104400299,
            0.103670746,
            0.1029412,
            0.102211654,
            0.101482101,
            0.100752547,
            0.100023001,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0993853658,
            0.0986558124,
            0.0979262665,
            0.0971967131,
            0.0964671671,
            0.0957376137,
            0.0950080678,
            0.0942785144,
            0.0935489684,
            0.092819415,
            0.0920898691,
            0.0913603157,
            0.0906307697,
            0.0899012163,
            0.0891716704,
            0.088442117,
            0.087712571,
            0.0869830176,
            0.0862534717,
            0.0855239183,
            0.0847943723,
            0.0840648264,
            0.083335273,
            0.0826057196,
            0.0818761736,
            0.0811466277,
            0.0804170743,
            0.0796875209,
            0.0789579749,
            0.078228429,
            0.0774988756,
            0.0767693296,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0762638152,
            0.0752910823,
            0.0743183494,
            0.0733456165,
            0.0723728836,
            0.0714001507,
            0.0704274178,
            0.0694546849,
            0.068481952,
            0.0675092191,
            0.0665364861,
            0.0655637532,
            0.0645910203,
            0.0636182874,
            0.0626455545,
            0.0616728216,
            0.0607211515,
            0.0599916019,
            0.0592620522,
            0.0585325025,
            0.0578029528,
            0.0570734031,
            0.0563438535,
            0.0556143038,
            0.0548847541,
            0.0541552044,
            0.0534256548,
            0.0526961051,
            0.0519665554,
            0.0512370057,
            0.0505074561,
            0.0497779064,
            0.0490483567,
            0.0469171517,
            0.0447285026,
            0.0425398573,
            0.0403512083,
            0.0381625593,
            0.0359739102,
            0.0337852612,
            0.0315966122,
            0.0294079632,
            0.0272193141,
            0.0250306651,
            0.0228420161,
            0.0206533689,
            0.0184647199,
            0.016276069,
            0.01408742,
            0.0116958013,
            0.00926396903,
            0.00683213724,
            0.00440030545,
            0.0019684732,
            -0.000463359058,
            -0.00289519131,
            -0.0053270217,
            -0.00775885396,
            -0.0101906862,
            -0.0126225185,
            -0.0150543507,
            -0.017486183,
            -0.0199180134,
            -0.0223498456,
            -0.0247816779,
            -0.0270411763,
            -0.0292298235,
            -0.0314184725,
            -0.0336071216,
            -0.0357957706,
            -0.0379844196,
            -0.0401730686,
            -0.0423617177,
            -0.0445503667,
            -0.046739012,
            -0.0489276648,
            -0.0511163101,
            -0.0533049628,
            -0.0554936081,
            -0.0576822571,
            -0.0598709062,
            -0.0622012541,
            -0.0646330863,
            -0.0670649186,
            -0.0694967508,
            -0.0719285831,
            -0.0743604153,
            -0.0767922476,
            -0.0792240798,
            -0.0816559047,
            -0.0840877444,
            -0.0865195692,
            -0.0889514089,
            -0.0913832337,
            -0.0938150734,
            -0.0962468982,
            -0.0986787379,
            -0.101110563,
            -0.103542402,
            -0.105974235,
            -0.108406067,
            -0.110837899,
            -0.113269731,
            -0.115701571,
            -0.118133403,
            -0.120565236,
            -0.122997068,
            -0.1254289,
            -0.12786074,
            -0.130292565,
            -0.132724404,
            -0.135156244,
            -0.137588069,
            -0.139698207,
            -0.141157314,
            -0.142616406,
            -0.144075513,
            -0.145534605,
            -0.146993712,
            -0.148452803,
            -0.14991191,
            -0.151371002,
            -0.152830109,
            -0.154289201,
            -0.155748308,
            -0.1572074,
            -0.158666506,
            -0.160125598,
            -0.161584705,
            -0.162894443,
            -0.163623989,
            -0.164353549,
            -0.165083095,
            -0.165812641,
            -0.166542187,
            -0.167271748,
            -0.168001294,
            -0.16873084,
            -0.169460386,
            -0.170189947,
            -0.170919493,
            -0.171649039,
            -0.172378585,
            -0.173108146,
            -0.173837692,
            -0.174567237,
            -0.175296783,
            -0.176026344,
            -0.17675589,
            -0.177485436,
            -0.178214982,
            -0.178944543,
            -0.179674089,
            -0.180403635,
            -0.181133181,
            -0.181862742,
            -0.182592288,
            -0.183321834,
            -0.18405138,
            -0.184780926,
            -0.185510486,
            -0.186240032,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.185671329,
            -0.184941784,
            -0.184212223,
            -0.183482677,
            -0.182753131,
            -0.182023585,
            -0.181294024,
            -0.180564478,
            -0.179834932,
            -0.179105386,
            -0.178375825,
            -0.177646279,
            -0.176916733,
            -0.176187187,
            -0.175457627,
            -0.174728081,
            -0.173998535,
            -0.173268989,
            -0.172539428,
            -0.171809882,
            -0.171080336,
            -0.17035079,
            -0.169621229,
            -0.168891683,
            -0.168162137,
            -0.167432591,
            -0.166703045,
            -0.165973485,
            -0.165243939,
            -0.164514393,
            -0.163784847,
            -0.163055286,
            -0.161906391,
            -0.160447299,
            -0.158988193,
            -0.157529101,
            -0.156069994,
            -0.154610902,
            -0.153151795,
            -0.151692703,
            -0.150233597,
            -0.148774505,
            -0.147315398,
            -0.145856306,
            -0.144397199,
            -0.142938107,
            -0.141479,
            -0.140019909,
            -0.138779104,
            -0.137806356,
            -0.136833623,
            -0.13586089,
            -0.134888157,
            -0.133915424,
            -0.132942691,
            -0.131969959,
            -0.130997226,
            -0.130024478,
            -0.129051745,
            -0.128079012,
            -0.127106279,
            -0.126133546,
            -0.125160813,
            -0.12418808,
            -0.123293847,
            -0.122564301,
            -0.121834747,
            -0.121105194,
            -0.120375648,
            -0.119646095,
            -0.118916541,
            -0.118186988,
            -0.117457442,
            -0.116727889,
            -0.115998335,
            -0.115268782,
            -0.114539236,
            -0.113809682,
            -0.113080129,
            -0.112350576,
            -0.11190825,
            -0.112637803,
            -0.113367356,
            -0.11409691,
            -0.114826456,
            -0.115556009,
            -0.116285563,
            -0.117015108,
            -0.117744662,
            -0.118474215,
            -0.119203769,
            -0.119933322,
            -0.120662868,
            -0.121392421,
            -0.122121975,
            -0.122851521,
            -0.123650007,
            -0.125352293,
            -0.127054572,
            -0.128756866,
            -0.130459145,
            -0.132161424,
            -0.133863717,
            -0.135565996,
            -0.137268275,
            -0.138970569,
            -0.140672848,
            -0.142375141,
            -0.14407742,
            -0.145779699,
            -0.147481993,
            -0.149184272,
            -0.150886551,
            -0.151669726,
            -0.152399272,
            -0.153128818,
            -0.153858364,
            -0.154587924,
            -0.15531747,
            -0.156047016,
            -0.156776562,
            -0.157506123,
            -0.158235669,
            -0.158965215,
            -0.159694761,
            -0.160424322,
            -0.161153868,
            -0.161883414,
            -0.16261296,
            -0.163939938,
            -0.165399045,
            -0.166858137,
            -0.168317243,
            -0.169776335,
            -0.171235442,
            -0.172694534,
            -0.174153641,
            -0.175612733,
            -0.17707184,
            -0.178530931,
            -0.179990038,
            -0.18144913,
            -0.182908237,
            -0.184367329,
            -0.185826421,
            -0.186780021,
            -0.187509567,
            -0.188239112,
            -0.188968658,
            -0.189698219,
            -0.190427765,
            -0.191157311,
            -0.191886857,
            -0.192616403,
            -0.193345964,
            -0.19407551,
            -0.194805056,
            -0.195534602,
            -0.196264163,
            -0.196993709,
            -0.197723255,
            -0.198590681,
            -0.199563414,
            -0.200536147,
            -0.20150888,
            -0.202481613,
            -0.203454345,
            -0.204427063,
            -0.205399811,
            -0.206372529,
            -0.207345277,
            -0.208317995,
            -0.209290743,
            -0.210263461,
            -0.211236194,
            -0.212208927,
            -0.21318166,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.214185029,
            -0.215644136,
            -0.217103228,
            -0.218562335,
            -0.220021427,
            -0.221480533,
            -0.222939625,
            -0.224398732,
            -0.225857824,
            -0.227316931,
            -0.228776023,
            -0.23023513,
            -0.231694221,
            -0.233153328,
            -0.23461242,
            -0.236071527,
            -0.237392753,
            -0.238122299,
            -0.23885186,
            -0.239581406,
            -0.240310952,
            -0.241040498,
            -0.241770059,
            -0.242499605,
            -0.243229151,
            -0.243958697,
            -0.244688258,
            -0.245417804,
            -0.246147349,
            -0.246876895,
            -0.247606456,
            -0.248336002,
            -0.249065548,
            -0.249795094,
            -0.25052464,
            -0.251254201,
            -0.251983762,
            -0.252713293,
            -0.253442854,
            -0.254172415,
            -0.254901946,
            -0.255631506,
            -0.256361067,
            -0.257090628,
            -0.257820159,
            -0.25854972,
            -0.259279281,
            -0.260008812,
            -0.260738373,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260376483,
            -0.259646922,
            -0.258917361,
            -0.258187801,
            -0.25745827,
            -0.256728709,
            -0.255999148,
            -0.255269617,
            -0.254540056,
            -0.253810495,
            -0.253080964,
            -0.252351403,
            -0.251621842,
            -0.250892311,
            -0.25016275,
            -0.24943319,
            -0.248387694,
            -0.246928602,
            -0.245469496,
            -0.244010404,
            -0.242551297,
            -0.241092205,
            -0.239633098,
            -0.238174006,
            -0.2367149,
            -0.235255808,
            -0.233796716,
            -0.232337609,
            -0.230878502,
            -0.22941941,
            -0.227960318,
            -0.226501212,
            -0.224743396,
            -0.222311571,
            -0.219879732,
            -0.217447907,
            -0.215016067,
            -0.212584242,
            -0.210152403,
            -0.207720578,
            -0.205288738,
            -0.202856913,
            -0.200425074,
            -0.197993249,
            -0.195561409,
            -0.193129584,
            -0.190697759,
            -0.18826592,
            -0.18614237,
            -0.185412824,
            -0.184683278,
            -0.183953732,
            -0.183224171,
            -0.182494625,
            -0.181765079,
            -0.181035534,
            -0.180305973,
            -0.179576427,
            -0.178846881,
            -0.178117335,
            -0.177387774,
            -0.176658228,
            -0.175928682,
            -0.175199136,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.17383194,
            -0.173102394,
            -0.172372848,
            -0.171643302,
            -0.170913741,
            -0.170184195,
            -0.169454649,
            -0.168725103,
            -0.167995542,
            -0.167265996,
            -0.16653645,
            -0.165806904,
            -0.165077344,
            -0.164347798,
            -0.163618252,
            -0.162888706,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162342981,
            -0.16161342,
            -0.160883874,
            -0.160154328,
            -0.159424782,
            -0.158695221,
            -0.157965675,
            -0.157236129,
            -0.156506583,
            -0.155777022,
            -0.155047476,
            -0.15431793,
            -0.153588384,
            -0.152858824,
            -0.152129278,
            -0.151399732,
            -0.150256574,
            -0.148554295,
            -0.146852016,
            -0.145149723,
            -0.143447444,
            -0.14174515,
            -0.140042871,
            -0.138340592,
            -0.136638299,
            -0.13493602,
            -0.133233741,
            -0.131531447,
            -0.129829168,
            -0.128126889,
            -0.126424596,
            -0.124722317,
            -0.12331108,
            -0.122581534,
            -0.121851981,
            -0.121122427,
            -0.120392881,
            -0.119663328,
            -0.118933775,
            -0.118204221,
            -0.117474675,
            -0.116745122,
            -0.116015568,
            -0.115286015,
            -0.114556469,
            -0.113826916,
            -0.113097362,
            -0.112367809,
            -0.111638263,
            -0.110908717,
            -0.110179164,
            -0.109449618,
            -0.108720072,
            -0.107990526,
            -0.107260972,
            -0.106531426,
            -0.10580188,
            -0.105072334,
            -0.104342781,
            -0.103613235,
            -0.102883689,
            -0.102154143,
            -0.10142459,
            -0.100695044,
            -0.0999654979,
            -0.0992359444,
            -0.0985063985,
            -0.0977768451,
            -0.0970472991,
            -0.0963177532,
            -0.0955881998,
            -0.0948586464,
            -0.0941291004,
            -0.0933995545,
            -0.0926700011,
            -0.0919404477,
            -0.0912109017,
            -0.0904813558,
            -0.0897518024,
            -0.0890222564,
            -0.088292703,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0876550674,
            -0.086925514,
            -0.0861959681,
            -0.0854664147,
            -0.0847368687,
            -0.0840073153,
            -0.0832777694,
            -0.082548216,
            -0.08181867,
            -0.0810891166,
            -0.0803595707,
            -0.0796300173,
            -0.0789004713,
            -0.0781709254,
            -0.077441372,
            -0.0767118186,
            -0.0758195147,
            -0.0748467818,
            -0.0738740489,
            -0.072901316,
            -0.0719285831,
            -0.0709558502,
            -0.0699831173,
            -0.0690103844,
            -0.0680376515,
            -0.0670649186,
            -0.0660921857,
            -0.0651194528,
            -0.0641467199,
            -0.063173987,
            -0.0622012541,
            -0.0612285212,
            -0.0613127723,
            -0.0622855052,
            -0.0632582381,
            -0.064230971,
            -0.0652037039,
            -0.0661764368,
            -0.0671491697,
            -0.0681219026,
            -0.0690946355,
            -0.0700673684,
            -0.0710401013,
            -0.0720128343,
            -0.0729855672,
            -0.0739583001,
            -0.074931033,
            -0.0759037659,
            -0.076064609,
            -0.0750918761,
            -0.0741191432,
            -0.0731464103,
            -0.0721736774,
            -0.0712009445,
            -0.0702282116,
            -0.0692554787,
            -0.0682827458,
            -0.0673100129,
            -0.06633728,
            -0.0653645471,
            -0.0643918142,
            -0.0634190813,
            -0.0624463521,
            -0.0614736192,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0605430119,
            -0.0590839125,
            -0.0576248132,
            -0.0561657138,
            -0.0547066145,
            -0.0532475151,
            -0.0517884158,
            -0.0503293164,
            -0.0488702208,
            -0.0474111214,
            -0.0459520221,
            -0.0444929227,
            -0.0430338234,
            -0.041574724,
            -0.0401156247,
            -0.0386565253,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0365885086,
            -0.035858959,
            -0.0351294093,
            -0.0343998596,
            -0.0336703099,
            -0.0329407603,
            -0.0322112106,
            -0.0314816609,
            -0.0307521131,
            -0.0300225634,
            -0.0292930137,
            -0.0285634641,
            -0.0278339144,
            -0.0271043647,
            -0.026374815,
            -0.0256452672,
            -0.0249157157,
            -0.024186166,
            -0.0234566163,
            -0.0227270685,
            -0.0219975188,
            -0.0212679692,
            -0.0205384195,
            -0.0198088698,
            -0.0190793201,
            -0.0183497705,
            -0.0176202208,
            -0.0168906711,
            -0.0161611214,
            -0.0154315718,
            -0.0147020221,
            -0.0139724724,
            -0.012117004,
            -0.00968517177,
            -0.00725333998,
            -0.00482150819,
            -0.00238967594,
            4.21563163e-5,
            0.00247398764,
            0.00490581989,
            0.00733765215,
            0.0097694844,
            0.0122013167,
            0.014633147,
            0.0170649793,
            0.0194968134,
            0.0219286419,
            0.0243604742,
            0.025880849,
            0.0266103987,
            0.0273399483,
            0.028069498,
            0.0287990477,
            0.0295285974,
            0.030258147,
            0.0309876967,
            0.0317172445,
            0.0324467942,
            0.0331763439,
            0.0339058936,
            0.0346354432,
            0.0353649929,
            0.0360945426,
            0.0368240923,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0372549295,
            0.0376685336,
            0.039127633,
            0.0405867323,
            0.0420458317,
            0.043504931,
            0.0449640304,
            0.0464231297,
            0.0478822254,
            0.0493413247,
            0.0508004241,
            0.0522595234,
            0.0537186228,
            0.0551777221,
            0.0566368215,
            0.0580959208,
            0.0595550202,
            0.0609375276,
            0.0619102605,
            0.0628829896,
            0.0638557225,
            0.0648284554,
            0.0658011883,
            0.0667739213,
            0.0677466542,
            0.0687193871,
            0.06969212,
            0.0706648529,
            0.0716375858,
            0.0726103187,
            0.0735830516,
            0.0745557845,
            0.0755285174,
            0.0765165687,
            0.077975668,
            0.0794347674,
            0.0808938667,
            0.0823529661,
            0.0838120654,
            0.0852711648,
            0.0867302641,
            0.0881893635,
            0.0896484628,
            0.0911075622,
            0.0925666615,
            0.0940257609,
            0.0954848602,
            0.0969439596,
            0.0984030589,
            0.0998621583,
            0.100660637,
            0.10139019,
            0.102119736,
            0.10284929,
            0.103578836,
            0.104308389,
            0.105037935,
            0.105767488,
            0.106497034,
            0.107226588,
            0.107956134,
            0.108685687,
            0.109415233,
            0.110144787,
            0.110874332,
            0.111603886,
            0.112333432,
            0.113062985,
            0.113792531,
            0.114522085,
            0.115251631,
            0.115981184,
            0.11671073,
            0.117440283,
            0.118169829,
            0.118899383,
            0.119628929,
            0.120358482,
            0.121088028,
            0.121817574,
            0.122547127,
            0.123276681,
            0.124165155,
            0.125137895,
            0.126110628,
            0.127083361,
            0.128056094,
            0.129028827,
            0.13000156,
            0.130974293,
            0.131947026,
            0.132919759,
            0.133892491,
            0.134865224,
            0.135837957,
            0.13681069,
            0.137783423,
            0.138756156,
            0.139985472,
            0.141444579,
            0.142903671,
            0.144362777,
            0.145821884,
            0.147280991,
            0.148740083,
            0.15019919,
            0.151658297,
            0.153117403,
            0.154576495,
            0.156035602,
            0.157494709,
            0.158953816,
            0.160412908,
            0.161872014,
            0.163038149,
            0.163767695,
            0.164497241,
            0.165226787,
            0.165956333,
            0.166685879,
            0.167415425,
            0.168144971,
            0.168874517,
            0.169604063,
            0.170333609,
            0.171063155,
            0.171792701,
            0.172522247,
            0.173251793,
            0.173981339,
            0.174710885,
            0.175440431,
            0.176169977,
            0.176899523,
            0.177629083,
            0.178358629,
            0.179088175,
            0.179817721,
            0.180547282,
            0.181276828,
            0.182006374,
            0.18273592,
            0.183465481,
            0.184195027,
            0.184924573,
            0.185654119,
            0.186529204,
            0.188231483,
            0.189933762,
            0.191636041,
            0.193338335,
            0.195040613,
            0.196742892,
            0.198445171,
            0.200147465,
            0.201849744,
            0.203552023,
            0.205254301,
            0.206956595,
            0.208658874,
            0.210361153,
            0.212063432,
            0.213742748,
            0.214472294,
            0.21520184,
            0.215931386,
            0.216660947,
            0.217390493,
            0.218120039,
            0.218849584,
            0.21957913,
            0.220308691,
            0.221038237,
            0.221767783,
            0.222497329,
            0.22322689,
            0.223956436,
            0.224685982,
            0.225415528,
            0.22679995,
            0.228259057,
            0.229718149,
            0.231177256,
            0.232636347,
            0.234095454,
            0.235554546,
            0.237013653,
            0.238472745,
            0.239931852,
            0.241390944,
            0.24285005,
            0.244309142,
            0.245768249,
            0.247227341,
            0.248686448,
            0.25033319,
            0.252035499,
            0.253737777,
            0.255440056,
            0.257142365,
            0.258844644,
            0.260546952,
            0.262249231,
            0.26395151,
            0.265653819,
            0.267356098,
            0.269058377,
            0.270760685,
            0.272462964,
            0.274165273,
            0.275867552,
            0.276941776,
            0.277671307,
            0.278400868,
            0.279130399,
            0.27985996,
            0.280589491,
            0.281319052,
            0.282048583,
            0.282778144,
            0.283507675,
            0.284237236,
            0.284966767,
            0.285696328,
            0.286425859,
            0.28715542,
            0.287884951,
            0.288614511,
            0.289344043,
            0.290073603,
            0.290803164,
            0.291532695,
            0.292262256,
            0.292991787,
            0.293721348,
            0.294450909,
            0.29518044,
            0.295910001,
            0.296639562,
            0.297369093,
            0.298098654,
            0.298828185,
            0.299557745,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300103486,
            0.300833017,
            0.301562577,
            0.302292109,
            0.303021669,
            0.30375123,
            0.304480761,
            0.305210322,
            0.305939883,
            0.306669414,
            0.307398975,
            0.308128506,
            0.308858067,
            0.309587628,
            0.310317159,
            0.31104672,
            0.31177628,
            0.312505811,
            0.313235372,
            0.313964903,
            0.314694464,
            0.315424025,
            0.316153556,
            0.316883117,
            0.317612648,
            0.318342209,
            0.31907177,
            0.319801301,
            0.320530862,
            0.321260422,
            0.321989954,
            0.322719514,
            0.323449045,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.324272424,
            0.325245172,
            0.32621789,
            0.327190638,
            0.328163356,
            0.329136103,
            0.330108821,
            0.331081569,
            0.332054287,
            0.333027035,
            0.333999753,
            0.334972501,
            0.335945219,
            0.336917967,
            0.337890685,
            0.338863432,
            0.339681059,
            0.34041062,
            0.341140151,
            0.341869712,
            0.342599243,
            0.343328804,
            0.344058365,
            0.344787896,
            0.345517457,
            0.346247017,
            0.346976548,
            0.347706109,
            0.34843564,
            0.349165201,
            0.349894762,
            0.350624293,
            0.351353854,
            0.352083415,
            0.352812946,
            0.353542507,
            0.354272038,
            0.355001599,
            0.355731159,
            0.35646069,
            0.357190251,
            0.357919812,
            0.358649343,
            0.359378904,
            0.360108435,
            0.360837996,
            0.361567557,
            0.362297088,
            0.363026649,
            0.36375621,
            0.364485741,
            0.365215302,
            0.365944833,
            0.366674393,
            0.367403954,
            0.368133485,
            0.368863046,
            0.369592607,
            0.370322138,
            0.371051699,
            0.37178123,
            0.372510791,
            0.373240352,
            0.373969883,
            0.374952197,
            0.376654476,
            0.378356755,
            0.380059034,
            0.381761312,
            0.383463621,
            0.3851659,
            0.386868179,
            0.388570458,
            0.390272737,
            0.391975015,
            0.393677294,
            0.395379573,
            0.397081852,
            0.398784161,
            0.400486439,
            0.402058512,
            0.402788043,
            0.403517604,
            0.404247135,
            0.404976696,
            0.405706227,
            0.406435788,
            0.407165319,
            0.40789488,
            0.408624411,
            0.409353971,
            0.410083503,
            0.410813063,
            0.411542594,
            0.412272155,
            0.413001686,
            0.413731247,
            0.414460778,
            0.415190339,
            0.4159199,
            0.416649461,
            0.417378992,
            0.418108553,
            0.418838114,
            0.419567674,
            0.420297205,
            0.421026766,
            0.421756327,
            0.422485888,
            0.423215419,
            0.42394498,
            0.424674541,
            0.425404102,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.425030708,
            0.424301147,
            0.423571587,
            0.422842026,
            0.422112495,
            0.421382934,
            0.420653373,
            0.419923812,
            0.419194281,
            0.41846472,
            0.417735159,
            0.417005599,
            0.416276067,
            0.415546507,
            0.414816946,
            0.414087415,
            0.414093137,
            0.414822698,
            0.415552258,
            0.41628179,
            0.41701135,
            0.417740911,
            0.418470472,
            0.419200003,
            0.419929564,
            0.420659125,
            0.421388686,
            0.422118217,
            0.422847778,
            0.423577338,
            0.424306899,
            0.42503643,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026
          ],
          [
            0.42549026,
            0.426219821,
            0.426949352,
            0.427678913,
            0.428408444,
            0.429138005,
            0.429867566,
            0.430597097,
            0.431326658,
            0.432056218,
            0.432785749,
            0.43351531,
            0.434244841,
            0.434974402,
            0.435703963,
            0.436433494,
            0.437163055,
            0.437892616,
            0.438622147,
            0.439351708,
            0.440081239,
            0.4408108,
            0.44154036,
            0.442269892,
            0.442999452,
            0.443729013,
            0.444458544,
            0.445188105,
            0.445917636,
            0.446647197,
            0.447376758,
            0.448106289,
            0.44883585,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.448749691,
            0.44802013,
            0.44729057,
            0.446561038,
            0.445831478,
            0.445101917,
            0.444372386,
            0.443642825,
            0.442913294,
            0.442183733,
            0.441454172,
            0.440724641,
            0.43999508,
            0.439265549,
            0.438535988,
            0.437806427,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437978774,
            0.438708305,
            0.439437866,
            0.440167427,
            0.440896958,
            0.441626519,
            0.44235608,
            0.443085611,
            0.443815172,
            0.444544703,
            0.445274264,
            0.446003824,
            0.446733356,
            0.447462916,
            0.448192477,
            0.448922008,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.448479682,
            0.447750151,
            0.44702059,
            0.446291029,
            0.445561498,
            0.444831938,
            0.444102407,
            0.443372846,
            0.442643285,
            0.441913754,
            0.441184193,
            0.440454632,
            0.439725101,
            0.43899554,
            0.438265979,
            0.437536448,
            0.436358809,
            0.434899718,
            0.433440626,
            0.431981504,
            0.430522412,
            0.42906332,
            0.427604198,
            0.426145107,
            0.424686015,
            0.423226893,
            0.421767801,
            0.420308679,
            0.418849587,
            0.417390496,
            0.415931374,
            0.414472282,
            0.41253829,
            0.41010648,
            0.40767464,
            0.405242831,
            0.402810991,
            0.400379151,
            0.397947341,
            0.395515501,
            0.393083692,
            0.390651852,
            0.388220012,
            0.385788202,
            0.383356363,
            0.380924523,
            0.378492713,
            0.376060873,
            0.373981386,
            0.372522265,
            0.371063173,
            0.369604081,
            0.368144989,
            0.366685867,
            0.365226775,
            0.363767684,
            0.362308592,
            0.3608495,
            0.359390378,
            0.357931286,
            0.356472194,
            0.355013102,
            0.353553981,
            0.352094889,
            0.350808114,
            0.350078583,
            0.349349022,
            0.348619491,
            0.34788993,
            0.347160369,
            0.346430838,
            0.345701277,
            0.344971716,
            0.344242185,
            0.343512625,
            0.342783093,
            0.342053533,
            0.341323972,
            0.340594441,
            0.33986488,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.338748544,
            0.337775797,
            0.336803079,
            0.335830331,
            0.334857613,
            0.333884865,
            0.332912147,
            0.331939399,
            0.330966681,
            0.329993933,
            0.329021215,
            0.328048468,
            0.32707575,
            0.326103002,
            0.325130284,
            0.324157536,
            0.323270977,
            0.322541416,
            0.321811885,
            0.321082324,
            0.320352793,
            0.319623232,
            0.318893671,
            0.31816414,
            0.317434579,
            0.316705048,
            0.315975487,
            0.315245926,
            0.314516395,
            0.313786834,
            0.313057274,
            0.312327743,
            0.311431587,
            0.309972495,
            0.308513403,
            0.307054311,
            0.305595189,
            0.304136097,
            0.302677006,
            0.301217914,
            0.299758792,
            0.2982997,
            0.296840608,
            0.295381516,
            0.293922395,
            0.292463303,
            0.291004211,
            0.289545119,
            0.288160682,
            0.287431151,
            0.28670159,
            0.285972059,
            0.285242498,
            0.284512967,
            0.283783406,
            0.283053875,
            0.282324314,
            0.281594783,
            0.280865222,
            0.280135691,
            0.27940613,
            0.278676599,
            0.277947038,
            0.277217507,
            0.276487947,
            0.274808645,
            0.273106366,
            0.271404058,
            0.269701779,
            0.26799947,
            0.266297191,
            0.264594913,
            0.262892604,
            0.261190325,
            0.259488046,
            0.257785738,
            0.256083459,
            0.25438118,
            0.252678871,
            0.250976592,
            0.249274299,
            0.247778818,
            0.246319711,
            0.244860619,
            0.243401513,
            0.241942421,
            0.240483314,
            0.239024222,
            0.237565115,
            0.236106023,
            0.234646916,
            0.233187824,
            0.231728718,
            0.230269626,
            0.228810519,
            0.227351427,
            0.22589232,
            0.223728567,
            0.221296743,
            0.218864903,
            0.216433078,
            0.214001238,
            0.211569414,
            0.209137574,
            0.206705749,
            0.204273909,
            0.201842085,
            0.199410245,
            0.19697842,
            0.19454658,
            0.192114756,
            0.189682931,
            0.187251091,
            0.185401365,
            0.183942273,
            0.182483181,
            0.181024089,
            0.179564983,
            0.178105891,
            0.176646799,
            0.175187707,
            0.1737286,
            0.172269508,
            0.170810416,
            0.169351324,
            0.167892218,
            0.166433126,
            0.164974034,
            0.163514942,
            0.162055835,
            0.160596728,
            0.159137636,
            0.15767853,
            0.156219423,
            0.154760331,
            0.153301224,
            0.151842117,
            0.150383011,
            0.148923919,
            0.147464812,
            0.146005705,
            0.144546598,
            0.143087506,
            0.141628399,
            0.140169293,
            0.138878703,
            0.13790597,
            0.136933237,
            0.135960504,
            0.134987772,
            0.134015039,
            0.133042306,
            0.132069573,
            0.13109684,
            0.130124107,
            0.129151374,
            0.128178641,
            0.127205908,
            0.126233175,
            0.125260442,
            0.12428771,
            0.123368591,
            0.122639038,
            0.121909492,
            0.121179938,
            0.120450392,
            0.119720839,
            0.118991293,
            0.11826174,
            0.117532194,
            0.11680264,
            0.116073094,
            0.115343541,
            0.114613995,
            0.113884442,
            0.113154896,
            0.112425342,
            0.111695796,
            0.110966243,
            0.110236697,
            0.109507143,
            0.108777598,
            0.108048044,
            0.107318498,
            0.106588945,
            0.105859399,
            0.105129845,
            0.104400299,
            0.103670746,
            0.1029412,
            0.102211654,
            0.101482101,
            0.100752547,
            0.100023001,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.100000024,
            0.0993853658,
            0.0986558124,
            0.0979262665,
            0.0971967131,
            0.0964671671,
            0.0957376137,
            0.0950080678,
            0.0942785144,
            0.0935489684,
            0.092819415,
            0.0920898691,
            0.0913603157,
            0.0906307697,
            0.0899012163,
            0.0891716704,
            0.088442117,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0878044814,
            0.0870749354,
            0.086345382,
            0.0856158361,
            0.0848862827,
            0.0841567367,
            0.0834271833,
            0.0826976374,
            0.081968084,
            0.081238538,
            0.0805089846,
            0.0797794387,
            0.0790498853,
            0.0783203393,
            0.0775907859,
            0.07686124,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0764706135,
            0.0762638152,
            0.0752910823,
            0.0743183494,
            0.0733456165,
            0.0723728836,
            0.0714001507,
            0.0704274178,
            0.0694546849,
            0.068481952,
            0.0675092191,
            0.0665364861,
            0.0655637532,
            0.0645910203,
            0.0636182874,
            0.0626455545,
            0.0616728216,
            0.0606579594,
            0.0591988638,
            0.0577397645,
            0.0562806651,
            0.0548215657,
            0.0533624664,
            0.051903367,
            0.0504442677,
            0.0489851683,
            0.047526069,
            0.0460669696,
            0.0446078703,
            0.0431487709,
            0.0416896716,
            0.0402305722,
            0.0387714729,
            0.0373123735,
            0.0351524465,
            0.0329637975,
            0.0307751503,
            0.0285865031,
            0.0263978541,
            0.0242092051,
            0.022020556,
            0.019831907,
            0.017643258,
            0.0154546089,
            0.0132659599,
            0.0110773109,
            0.00888866372,
            0.0067000147,
            0.0045113638,
            0.00232271478,
            -6.89039007e-5,
            -0.00250073615,
            -0.00493256794,
            -0.00736439973,
            -0.00979623199,
            -0.0122280642,
            -0.0146598965,
            -0.0170917269,
            -0.0195235591,
            -0.0219553914,
            -0.0243872236,
            -0.0268190559,
            -0.0292508882,
            -0.0316827185,
            -0.0341145508,
            -0.0365463831,
            -0.0389782153,
            -0.0414100476,
            -0.0438418798,
            -0.0462737121,
            -0.0487055443,
            -0.0511373766,
            -0.0535692051,
            -0.0560010374,
            -0.0584328696,
            -0.0608647019,
            -0.0632965341,
            -0.0657283664,
            -0.0681601986,
            -0.0705920309,
            -0.0730238631,
            -0.0754556954,
            -0.0777458251,
            -0.0799344778,
            -0.0821231231,
            -0.0843117684,
            -0.0865004137,
            -0.088689059,
            -0.0908777118,
            -0.0930663571,
            -0.0952550024,
            -0.0974436551,
            -0.099632293,
            -0.101820946,
            -0.104009591,
            -0.106198236,
            -0.108386889,
            -0.110575527,
            -0.112542063,
            -0.114244349,
            -0.115946636,
            -0.117648922,
            -0.119351208,
            -0.121053495,
            -0.122755781,
            -0.124458067,
            -0.126160353,
            -0.127862632,
            -0.129564926,
            -0.131267205,
            -0.132969499,
            -0.134671777,
            -0.136374071,
            -0.13807635,
            -0.139698207,
            -0.141157314,
            -0.142616406,
            -0.144075513,
            -0.145534605,
            -0.146993712,
            -0.148452803,
            -0.14991191,
            -0.151371002,
            -0.152830109,
            -0.154289201,
            -0.155748308,
            -0.1572074,
            -0.158666506,
            -0.160125598,
            -0.161584705,
            -0.162894443,
            -0.163623989,
            -0.164353549,
            -0.165083095,
            -0.165812641,
            -0.166542187,
            -0.167271748,
            -0.168001294,
            -0.16873084,
            -0.169460386,
            -0.170189947,
            -0.170919493,
            -0.171649039,
            -0.172378585,
            -0.173108146,
            -0.173837692,
            -0.174567237,
            -0.175296783,
            -0.176026344,
            -0.17675589,
            -0.177485436,
            -0.178214982,
            -0.178944543,
            -0.179674089,
            -0.180403635,
            -0.181133181,
            -0.181862742,
            -0.182592288,
            -0.183321834,
            -0.18405138,
            -0.184780926,
            -0.185510486,
            -0.186240032,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.18576324,
            -0.185033694,
            -0.184304133,
            -0.183574587,
            -0.182845041,
            -0.182115495,
            -0.181385934,
            -0.180656388,
            -0.179926842,
            -0.179197297,
            -0.178467751,
            -0.17773819,
            -0.177008644,
            -0.176279098,
            -0.175549552,
            -0.174819991,
            -0.173671097,
            -0.172212005,
            -0.170752898,
            -0.169293806,
            -0.167834699,
            -0.166375607,
            -0.1649165,
            -0.163457409,
            -0.161998302,
            -0.16053921,
            -0.159080103,
            -0.157621011,
            -0.156161904,
            -0.154702812,
            -0.153243706,
            -0.151784614,
            -0.150652945,
            -0.149923399,
            -0.149193853,
            -0.148464292,
            -0.147734746,
            -0.1470052,
            -0.146275654,
            -0.145546094,
            -0.144816548,
            -0.144087002,
            -0.143357456,
            -0.142627895,
            -0.141898349,
            -0.141168803,
            -0.140439257,
            -0.139709711,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139267385,
            -0.139996931,
            -0.140726477,
            -0.141456023,
            -0.142185584,
            -0.14291513,
            -0.143644676,
            -0.144374222,
            -0.145103782,
            -0.145833328,
            -0.146562874,
            -0.14729242,
            -0.148021966,
            -0.148751527,
            -0.149481073,
            -0.150210619,
            -0.150940165,
            -0.151669726,
            -0.152399272,
            -0.153128818,
            -0.153858364,
            -0.154587924,
            -0.15531747,
            -0.156047016,
            -0.156776562,
            -0.157506123,
            -0.158235669,
            -0.158965215,
            -0.159694761,
            -0.160424322,
            -0.161153868,
            -0.161883414,
            -0.16261296,
            -0.163939938,
            -0.165399045,
            -0.166858137,
            -0.168317243,
            -0.169776335,
            -0.171235442,
            -0.172694534,
            -0.174153641,
            -0.175612733,
            -0.17707184,
            -0.178530931,
            -0.179990038,
            -0.18144913,
            -0.182908237,
            -0.184367329,
            -0.185826421,
            -0.186780021,
            -0.187509567,
            -0.188239112,
            -0.188968658,
            -0.189698219,
            -0.190427765,
            -0.191157311,
            -0.191886857,
            -0.192616403,
            -0.193345964,
            -0.19407551,
            -0.194805056,
            -0.195534602,
            -0.196264163,
            -0.196993709,
            -0.197723255,
            -0.198590681,
            -0.199563414,
            -0.200536147,
            -0.20150888,
            -0.202481613,
            -0.203454345,
            -0.204427063,
            -0.205399811,
            -0.206372529,
            -0.207345277,
            -0.208317995,
            -0.209290743,
            -0.210263461,
            -0.211236194,
            -0.212208927,
            -0.21318166,
            -0.214047164,
            -0.214776725,
            -0.215506271,
            -0.216235816,
            -0.216965362,
            -0.217694923,
            -0.218424469,
            -0.219154015,
            -0.219883561,
            -0.220613122,
            -0.221342668,
            -0.222072214,
            -0.22280176,
            -0.223531306,
            -0.224260867,
            -0.224990413,
            -0.225719959,
            -0.226449504,
            -0.227179065,
            -0.227908611,
            -0.228638157,
            -0.229367703,
            -0.230097264,
            -0.23082681,
            -0.231556356,
            -0.232285902,
            -0.233015463,
            -0.233745009,
            -0.234474555,
            -0.235204101,
            -0.235933661,
            -0.236663207,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237300843,
            -0.238030389,
            -0.23875995,
            -0.239489496,
            -0.240219042,
            -0.240948588,
            -0.241678149,
            -0.242407694,
            -0.24313724,
            -0.243866786,
            -0.244596332,
            -0.245325893,
            -0.246055439,
            -0.246784985,
            -0.247514531,
            -0.248244092,
            -0.248973638,
            -0.249703184,
            -0.25043273,
            -0.251162291,
            -0.251891851,
            -0.252621382,
            -0.253350943,
            -0.254080504,
            -0.254810035,
            -0.255539596,
            -0.256269157,
            -0.256998718,
            -0.257728249,
            -0.25845781,
            -0.259187371,
            -0.259916902,
            -0.260646462,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260784328,
            -0.260284543,
            -0.259555012,
            -0.258825451,
            -0.25809589,
            -0.257366359,
            -0.256636798,
            -0.255907238,
            -0.255177706,
            -0.254448146,
            -0.253718585,
            -0.252989054,
            -0.252259493,
            -0.251529932,
            -0.250800401,
            -0.25007084,
            -0.249341279,
            -0.248611733,
            -0.247882187,
            -0.247152641,
            -0.246423081,
            -0.245693535,
            -0.244963989,
            -0.244234443,
            -0.243504882,
            -0.242775336,
            -0.24204579,
            -0.241316244,
            -0.240586683,
            -0.239857137,
            -0.239127591,
            -0.238398045,
            -0.237668484,
            -0.236938938,
            -0.236209393,
            -0.235479847,
            -0.234750286,
            -0.23402074,
            -0.233291194,
            -0.232561648,
            -0.231832087,
            -0.231102541,
            -0.230372995,
            -0.229643449,
            -0.228913903,
            -0.228184342,
            -0.227454796,
            -0.22672525,
            -0.22599569,
            -0.224743396,
            -0.222311571,
            -0.219879732,
            -0.217447907,
            -0.215016067,
            -0.212584242,
            -0.210152403,
            -0.207720578,
            -0.205288738,
            -0.202856913,
            -0.200425074,
            -0.197993249,
            -0.195561409,
            -0.193129584,
            -0.190697759,
            -0.18826592,
            -0.186010256,
            -0.18455115,
            -0.183092058,
            -0.181632951,
            -0.180173859,
            -0.178714752,
            -0.17725566,
            -0.175796553,
            -0.174337462,
            -0.172878355,
            -0.171419263,
            -0.169960156,
            -0.168501064,
            -0.167041957,
            -0.165582865,
            -0.164123759,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162342981,
            -0.16161342,
            -0.160883874,
            -0.160154328,
            -0.159424782,
            -0.158695221,
            -0.157965675,
            -0.157236129,
            -0.156506583,
            -0.155777022,
            -0.155047476,
            -0.15431793,
            -0.153588384,
            -0.152858824,
            -0.152129278,
            -0.151399732,
            -0.150256574,
            -0.148554295,
            -0.146852016,
            -0.145149723,
            -0.143447444,
            -0.14174515,
            -0.140042871,
            -0.138340592,
            -0.136638299,
            -0.13493602,
            -0.133233741,
            -0.131531447,
            -0.129829168,
            -0.128126889,
            -0.126424596,
            -0.124722317,
            -0.12331108,
            -0.122581534,
            -0.121851981,
            -0.121122427,
            -0.120392881,
            -0.119663328,
            -0.118933775,
            -0.118204221,
            -0.117474675,
            -0.116745122,
            -0.116015568,
            -0.115286015,
            -0.114556469,
            -0.113826916,
            -0.113097362,
            -0.112367809,
            -0.111638263,
            -0.110908717,
            -0.110179164,
            -0.109449618,
            -0.108720072,
            -0.107990526,
            -0.107260972,
            -0.106531426,
            -0.10580188,
            -0.105072334,
            -0.104342781,
            -0.103613235,
            -0.102883689,
            -0.102154143,
            -0.10142459,
            -0.100695044,
            -0.0999654979,
            -0.0992359444,
            -0.0985063985,
            -0.0977768451,
            -0.0970472991,
            -0.0963177532,
            -0.0955881998,
            -0.0948586464,
            -0.0941291004,
            -0.0933995545,
            -0.0926700011,
            -0.0919404477,
            -0.0912109017,
            -0.0904813558,
            -0.0897518024,
            -0.0890222564,
            -0.088292703,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0876550674,
            -0.086925514,
            -0.0861959681,
            -0.0854664147,
            -0.0847368687,
            -0.0840073153,
            -0.0832777694,
            -0.082548216,
            -0.08181867,
            -0.0810891166,
            -0.0803595707,
            -0.0796300173,
            -0.0789004713,
            -0.0781709254,
            -0.077441372,
            -0.0767118186,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0763097107,
            -0.0753369778,
            -0.0743642449,
            -0.073391512,
            -0.0724187791,
            -0.0714460462,
            -0.0704733133,
            -0.0695005804,
            -0.0685278475,
            -0.0675551146,
            -0.0665823817,
            -0.0656096488,
            -0.0646369159,
            -0.063664183,
            -0.0626914501,
            -0.0617187172,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.0607842803,
            -0.060117919,
            -0.0593883693,
            -0.0586588196,
            -0.05792927,
            -0.0571997203,
            -0.0564701706,
            -0.0557406209,
            -0.0550110713,
            -0.0542815253,
            -0.0535519719,
            -0.052822426,
            -0.0520928726,
            -0.0513633266,
            -0.0506337732,
            -0.0499042273,
            -0.0491746776,
            -0.047870677,
            -0.0464115776,
            -0.0449524783,
            -0.0434933826,
            -0.0420342833,
            -0.0405751839,
            -0.0391160846,
            -0.0376569852,
            -0.0361978859,
            -0.0347387865,
            -0.0332796872,
            -0.0318205878,
            -0.0303614885,
            -0.0289023891,
            -0.0274432898,
            -0.0259841904,
            -0.0243642461,
            -0.0226619635,
            -0.0209596809,
            -0.0192573983,
            -0.0175551157,
            -0.015852835,
            -0.0141505515,
            -0.0124482689,
            -0.0107459864,
            -0.00904370472,
            -0.00734142214,
            -0.00563913956,
            -0.00393685699,
            -0.00223457441,
            -0.00053229183,
            0.00116999075,
            0.00235143909,
            0.00308098854,
            0.00381053821,
            0.00454008766,
            0.00526963733,
            0.00599918701,
            0.00672873668,
            0.00745828589,
            0.00818783604,
            0.00891738571,
            0.00964693539,
            0.0103764841,
            0.0111060338,
            0.0118355835,
            0.0125651332,
            0.0132946828,
            0.0143229458,
            0.0157820452,
            0.0172411446,
            0.018700242,
            0.0201593414,
            0.0216184407,
            0.0230775401,
            0.0245366395,
            0.0259957388,
            0.0274548382,
            0.0289139375,
            0.0303730369,
            0.0318321362,
            0.0332912356,
            0.0347503349,
            0.0362094343,
            0.0376685336,
            0.039127633,
            0.0405867323,
            0.0420458317,
            0.043504931,
            0.0449640304,
            0.0464231297,
            0.0478822254,
            0.0493413247,
            0.0508004241,
            0.0522595234,
            0.0537186228,
            0.0551777221,
            0.0566368215,
            0.0580959208,
            0.0595550202,
            0.0610524155,
            0.0627546981,
            0.0644569844,
            0.0661592633,
            0.0678615421,
            0.0695638284,
            0.0712661073,
            0.0729683936,
            0.0746706724,
            0.0763729587,
            0.0780752376,
            0.0797775239,
            0.0814798027,
            0.083182089,
            0.0848843679,
            0.0865866542,
            0.0882582963,
            0.0889878497,
            0.0897173956,
            0.090446949,
            0.091176495,
            0.0919060409,
            0.0926355943,
            0.0933651403,
            0.0940946937,
            0.0948242396,
            0.095553793,
            0.096283339,
            0.0970128924,
            0.0977424383,
            0.0984719917,
            0.0992015377,
            0.0999310911,
            0.100660637,
            0.10139019,
            0.102119736,
            0.10284929,
            0.103578836,
            0.104308389,
            0.105037935,
            0.105767488,
            0.106497034,
            0.107226588,
            0.107956134,
            0.108685687,
            0.109415233,
            0.110144787,
            0.110874332,
            0.111603886,
            0.112333432,
            0.113062985,
            0.113792531,
            0.114522085,
            0.115251631,
            0.115981184,
            0.11671073,
            0.117440283,
            0.118169829,
            0.118899383,
            0.119628929,
            0.120358482,
            0.121088028,
            0.121817574,
            0.122547127,
            0.123276681,
            0.124641947,
            0.126344234,
            0.128046513,
            0.129748791,
            0.131451085,
            0.133153364,
            0.134855643,
            0.136557922,
            0.138260216,
            0.139962494,
            0.141664773,
            0.143367052,
            0.145069331,
            0.146771625,
            0.148473904,
            0.150176182,
            0.151750177,
            0.153209269,
            0.154668376,
            0.156127468,
            0.157586575,
            0.159045666,
            0.160504773,
            0.161963865,
            0.163422972,
            0.164882064,
            0.166341171,
            0.167800263,
            0.169259369,
            0.170718461,
            0.172177568,
            0.17363666,
            0.174802795,
            0.175532341,
            0.176261887,
            0.176991448,
            0.177720994,
            0.17845054,
            0.179180086,
            0.179909647,
            0.180639192,
            0.181368738,
            0.182098284,
            0.18282783,
            0.183557391,
            0.184286937,
            0.185016483,
            0.185746029,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186420053,
            0.187392786,
            0.188365534,
            0.189338267,
            0.190311,
            0.191283733,
            0.19225648,
            0.193229213,
            0.194201946,
            0.195174679,
            0.196147427,
            0.19712016,
            0.198092893,
            0.199065626,
            0.200038373,
            0.201011106,
            0.201995328,
            0.20345442,
            0.204913527,
            0.206372619,
            0.207831711,
            0.209290802,
            0.210749894,
            0.212209001,
            0.213668093,
            0.215127185,
            0.216586277,
            0.218045384,
            0.219504476,
            0.220963567,
            0.222422659,
            0.223881766,
            0.225340858,
            0.22679995,
            0.228259057,
            0.229718149,
            0.231177256,
            0.232636347,
            0.234095454,
            0.235554546,
            0.237013653,
            0.238472745,
            0.239931852,
            0.241390944,
            0.24285005,
            0.244309142,
            0.245768249,
            0.247227341,
            0.248686448,
            0.25033319,
            0.252035499,
            0.253737777,
            0.255440056,
            0.257142365,
            0.258844644,
            0.260546952,
            0.262249231,
            0.26395151,
            0.265653819,
            0.267356098,
            0.269058377,
            0.270760685,
            0.272462964,
            0.274165273,
            0.275867552,
            0.276941776,
            0.277671307,
            0.278400868,
            0.279130399,
            0.27985996,
            0.280589491,
            0.281319052,
            0.282048583,
            0.282778144,
            0.283507675,
            0.284237236,
            0.284966767,
            0.285696328,
            0.286425859,
            0.28715542,
            0.287884951,
            0.288614511,
            0.289344043,
            0.290073603,
            0.290803164,
            0.291532695,
            0.292262256,
            0.292991787,
            0.293721348,
            0.294450909,
            0.29518044,
            0.295910001,
            0.296639562,
            0.297369093,
            0.298098654,
            0.298828185,
            0.299557745,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300195396,
            0.300924927,
            0.301654488,
            0.302384019,
            0.30311358,
            0.303843141,
            0.304572672,
            0.305302233,
            0.306031793,
            0.306761324,
            0.307490885,
            0.308220416,
            0.308949977,
            0.309679538,
            0.310409069,
            0.31113863,
            0.311868191,
            0.312597722,
            0.313327283,
            0.314056814,
            0.314786375,
            0.315515935,
            0.316245466,
            0.316975027,
            0.317704588,
            0.318434119,
            0.31916368,
            0.319893211,
            0.320622772,
            0.321352333,
            0.322081864,
            0.322811425,
            0.3235448,
            0.324517548,
            0.325490266,
            0.326462984,
            0.327435732,
            0.32840845,
            0.329381198,
            0.330353916,
            0.331326663,
            0.332299381,
            0.333272129,
            0.334244847,
            0.335217595,
            0.336190313,
            0.337163061,
            0.338135779,
            0.339108527,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339681059,
            0.34041062,
            0.341140151,
            0.341869712,
            0.342599243,
            0.343328804,
            0.344058365,
            0.344787896,
            0.345517457,
            0.346247017,
            0.346976548,
            0.347706109,
            0.34843564,
            0.349165201,
            0.349894762,
            0.350624293,
            0.351353854,
            0.352083415,
            0.352812946,
            0.353542507,
            0.354272038,
            0.355001599,
            0.355731159,
            0.35646069,
            0.357190251,
            0.357919812,
            0.358649343,
            0.359378904,
            0.360108435,
            0.360837996,
            0.361567557,
            0.362297088,
            0.363026649,
            0.36375621,
            0.364485741,
            0.365215302,
            0.365944833,
            0.366674393,
            0.367403954,
            0.368133485,
            0.368863046,
            0.369592607,
            0.370322138,
            0.371051699,
            0.37178123,
            0.372510791,
            0.373240352,
            0.373969883,
            0.374952197,
            0.376654476,
            0.378356755,
            0.380059034,
            0.381761312,
            0.383463621,
            0.3851659,
            0.386868179,
            0.388570458,
            0.390272737,
            0.391975015,
            0.393677294,
            0.395379573,
            0.397081852,
            0.398784161,
            0.400486439,
            0.402058512,
            0.402788043,
            0.403517604,
            0.404247135,
            0.404976696,
            0.405706227,
            0.406435788,
            0.407165319,
            0.40789488,
            0.408624411,
            0.409353971,
            0.410083503,
            0.410813063,
            0.411542594,
            0.412272155,
            0.413001686,
            0.413731247,
            0.414460778,
            0.415190339,
            0.4159199,
            0.416649461,
            0.417378992,
            0.418108553,
            0.418838114,
            0.419567674,
            0.420297205,
            0.421026766,
            0.421756327,
            0.422485888,
            0.423215419,
            0.42394498,
            0.424674541,
            0.425404102,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.425030708,
            0.424301147,
            0.423571587,
            0.422842026,
            0.422112495,
            0.421382934,
            0.420653373,
            0.419923812,
            0.419194281,
            0.41846472,
            0.417735159,
            0.417005599,
            0.416276067,
            0.415546507,
            0.414816946,
            0.414087415,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495
          ],
          [
            0.40196085,
            0.403419942,
            0.404879034,
            0.406338155,
            0.407797247,
            0.409256339,
            0.410715431,
            0.412174553,
            0.413633645,
            0.415092736,
            0.416551828,
            0.41801095,
            0.419470042,
            0.420929134,
            0.422388226,
            0.423847347,
            0.425306439,
            0.426127911,
            0.426857442,
            0.427587003,
            0.428316534,
            0.429046094,
            0.429775655,
            0.430505186,
            0.431234747,
            0.431964308,
            0.432693839,
            0.4334234,
            0.434152931,
            0.434882492,
            0.435612053,
            0.436341584,
            0.437071145,
            0.437800705,
            0.438530236,
            0.439259797,
            0.439989328,
            0.440718889,
            0.44144845,
            0.442177981,
            0.442907542,
            0.443637073,
            0.444366634,
            0.445096195,
            0.445825726,
            0.446555287,
            0.447284847,
            0.448014379,
            0.448743939,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.448657781,
            0.44792822,
            0.447198659,
            0.446469128,
            0.445739567,
            0.445010006,
            0.444280475,
            0.443550915,
            0.442821383,
            0.442091823,
            0.441362262,
            0.440632731,
            0.43990317,
            0.439173609,
            0.438444078,
            0.437714517,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437978774,
            0.438708305,
            0.439437866,
            0.440167427,
            0.440896958,
            0.441626519,
            0.44235608,
            0.443085611,
            0.443815172,
            0.444544703,
            0.445274264,
            0.446003824,
            0.446733356,
            0.447462916,
            0.448192477,
            0.448922008,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.44901967,
            0.448479682,
            0.447750151,
            0.44702059,
            0.446291029,
            0.445561498,
            0.444831938,
            0.444102407,
            0.443372846,
            0.442643285,
            0.441913754,
            0.441184193,
            0.440454632,
            0.439725101,
            0.43899554,
            0.438265979,
            0.437536448,
            0.436358809,
            0.434899718,
            0.433440626,
            0.431981504,
            0.430522412,
            0.42906332,
            0.427604198,
            0.426145107,
            0.424686015,
            0.423226893,
            0.421767801,
            0.420308679,
            0.418849587,
            0.417390496,
            0.415931374,
            0.414472282,
            0.41253829,
            0.41010648,
            0.40767464,
            0.405242831,
            0.402810991,
            0.400379151,
            0.397947341,
            0.395515501,
            0.393083692,
            0.390651852,
            0.388220012,
            0.385788202,
            0.383356363,
            0.380924523,
            0.378492713,
            0.376060873,
            0.373981386,
            0.372522265,
            0.371063173,
            0.369604081,
            0.368144989,
            0.366685867,
            0.365226775,
            0.363767684,
            0.362308592,
            0.3608495,
            0.359390378,
            0.357931286,
            0.356472194,
            0.355013102,
            0.353553981,
            0.352094889,
            0.350808114,
            0.350078583,
            0.349349022,
            0.348619491,
            0.34788993,
            0.347160369,
            0.346430838,
            0.345701277,
            0.344971716,
            0.344242185,
            0.343512625,
            0.342783093,
            0.342053533,
            0.341323972,
            0.340594441,
            0.33986488,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.338380903,
            0.337408155,
            0.336435437,
            0.335462689,
            0.334489971,
            0.333517224,
            0.332544506,
            0.331571758,
            0.33059904,
            0.329626292,
            0.328653574,
            0.327680826,
            0.326708108,
            0.32573536,
            0.324762642,
            0.323789895,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323270977,
            0.322541416,
            0.321811885,
            0.321082324,
            0.320352793,
            0.319623232,
            0.318893671,
            0.31816414,
            0.317434579,
            0.316705048,
            0.315975487,
            0.315245926,
            0.314516395,
            0.313786834,
            0.313057274,
            0.312327743,
            0.311431587,
            0.309972495,
            0.308513403,
            0.307054311,
            0.305595189,
            0.304136097,
            0.302677006,
            0.301217914,
            0.299758792,
            0.2982997,
            0.296840608,
            0.295381516,
            0.293922395,
            0.292463303,
            0.291004211,
            0.289545119,
            0.288160682,
            0.287431151,
            0.28670159,
            0.285972059,
            0.285242498,
            0.284512967,
            0.283783406,
            0.283053875,
            0.282324314,
            0.281594783,
            0.280865222,
            0.280135691,
            0.27940613,
            0.278676599,
            0.277947038,
            0.277217507,
            0.276487947,
            0.274808645,
            0.273106366,
            0.271404058,
            0.269701779,
            0.26799947,
            0.266297191,
            0.264594913,
            0.262892604,
            0.261190325,
            0.259488046,
            0.257785738,
            0.256083459,
            0.25438118,
            0.252678871,
            0.250976592,
            0.249274299,
            0.247778818,
            0.246319711,
            0.244860619,
            0.243401513,
            0.241942421,
            0.240483314,
            0.239024222,
            0.237565115,
            0.236106023,
            0.234646916,
            0.233187824,
            0.231728718,
            0.230269626,
            0.228810519,
            0.227351427,
            0.22589232,
            0.223728567,
            0.221296743,
            0.218864903,
            0.216433078,
            0.214001238,
            0.211569414,
            0.209137574,
            0.206705749,
            0.204273909,
            0.201842085,
            0.199410245,
            0.19697842,
            0.19454658,
            0.192114756,
            0.189682931,
            0.187251091,
            0.185401365,
            0.183942273,
            0.182483181,
            0.181024089,
            0.179564983,
            0.178105891,
            0.176646799,
            0.175187707,
            0.1737286,
            0.172269508,
            0.170810416,
            0.169351324,
            0.167892218,
            0.166433126,
            0.164974034,
            0.163514942,
            0.162055835,
            0.160596728,
            0.159137636,
            0.15767853,
            0.156219423,
            0.154760331,
            0.153301224,
            0.151842117,
            0.150383011,
            0.148923919,
            0.147464812,
            0.146005705,
            0.144546598,
            0.143087506,
            0.141628399,
            0.140169293,
            0.138878703,
            0.13790597,
            0.136933237,
            0.135960504,
            0.134987772,
            0.134015039,
            0.133042306,
            0.132069573,
            0.13109684,
            0.130124107,
            0.129151374,
            0.128178641,
            0.127205908,
            0.126233175,
            0.125260442,
            0.12428771,
            0.123368591,
            0.122639038,
            0.121909492,
            0.121179938,
            0.120450392,
            0.119720839,
            0.118991293,
            0.11826174,
            0.117532194,
            0.11680264,
            0.116073094,
            0.115343541,
            0.114613995,
            0.113884442,
            0.113154896,
            0.112425342,
            0.111695796,
            0.110966243,
            0.110236697,
            0.109507143,
            0.108777598,
            0.108048044,
            0.107318498,
            0.106588945,
            0.105859399,
            0.105129845,
            0.104400299,
            0.103670746,
            0.1029412,
            0.102211654,
            0.101482101,
            0.100752547,
            0.100023001,
            0.0992934555,
            0.0985639021,
            0.0978343561,
            0.0971048027,
            0.0963752568,
            0.0956457034,
            0.0949161574,
            0.094186604,
            0.0934570581,
            0.0927275047,
            0.0919979587,
            0.0912684053,
            0.0905388594,
            0.089809306,
            0.08907976,
            0.0883502066,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0878044814,
            0.0870749354,
            0.086345382,
            0.0856158361,
            0.0848862827,
            0.0841567367,
            0.0834271833,
            0.0826976374,
            0.081968084,
            0.081238538,
            0.0805089846,
            0.0797794387,
            0.0790498853,
            0.0783203393,
            0.0775907859,
            0.07686124,
            0.0760187134,
            0.0750459805,
            0.0740732476,
            0.0731005147,
            0.0721277818,
            0.0711550489,
            0.070182316,
            0.0692095831,
            0.0682368502,
            0.0672641173,
            0.0662913844,
            0.0653186515,
            0.0643459186,
            0.0633731857,
            0.0624004528,
            0.0614277199,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0607843399,
            0.0606292374,
            0.0598996878,
            0.0591701381,
            0.0584405884,
            0.0577110387,
            0.0569814891,
            0.0562519431,
            0.0555223897,
            0.0547928438,
            0.0540632941,
            0.0533337444,
            0.052604191,
            0.0518746451,
            0.0511450954,
            0.0504155457,
            0.049685996,
            0.0488932543,
            0.0474341586,
            0.0459750593,
            0.0445159599,
            0.0430568606,
            0.0415977612,
            0.0401386619,
            0.0386795625,
            0.0372204632,
            0.0357613638,
            0.0343022645,
            0.0328431651,
            0.0313840657,
            0.0299249664,
            0.028465867,
            0.0270067677,
            0.0255476683,
            0.0224533062,
            0.0192919262,
            0.0161305442,
            0.0129691623,
            0.00980778039,
            0.00664639845,
            0.00348501652,
            0.000323636457,
            -0.00283774547,
            -0.00599912554,
            -0.00916050747,
            -0.0123218894,
            -0.0154832713,
            -0.0186446533,
            -0.0218060352,
            -0.0249674171,
            -0.0273169111,
            -0.0295055602,
            -0.0316942073,
            -0.0338828564,
            -0.0360715054,
            -0.0382601544,
            -0.0404488035,
            -0.0426374525,
            -0.0448261015,
            -0.0470147505,
            -0.0492033996,
            -0.0513920486,
            -0.0535806939,
            -0.0557693467,
            -0.057957992,
            -0.060146641,
            -0.0619906224,
            -0.063692905,
            -0.0653951839,
            -0.0670974702,
            -0.068799749,
            -0.0705020353,
            -0.0722043142,
            -0.0739066005,
            -0.0756088793,
            -0.0773111656,
            -0.0790134445,
            -0.0807157308,
            -0.0824180096,
            -0.0841202885,
            -0.0858225748,
            -0.0875248611,
            -0.0890854448,
            -0.0905445367,
            -0.0920036361,
            -0.0934627354,
            -0.0949218273,
            -0.0963809267,
            -0.097840026,
            -0.0992991254,
            -0.100758217,
            -0.102217317,
            -0.103676416,
            -0.105135515,
            -0.106594607,
            -0.108053707,
            -0.109512806,
            -0.110971898,
            -0.112542063,
            -0.114244349,
            -0.115946636,
            -0.117648922,
            -0.119351208,
            -0.121053495,
            -0.122755781,
            -0.124458067,
            -0.126160353,
            -0.127862632,
            -0.129564926,
            -0.131267205,
            -0.132969499,
            -0.134671777,
            -0.136374071,
            -0.13807635,
            -0.139456943,
            -0.140186489,
            -0.140916049,
            -0.141645595,
            -0.142375141,
            -0.143104687,
            -0.143834248,
            -0.144563794,
            -0.14529334,
            -0.146022886,
            -0.146752447,
            -0.147481993,
            -0.148211539,
            -0.148941085,
            -0.149670646,
            -0.150400192,
            -0.151129737,
            -0.151859283,
            -0.152588844,
            -0.15331839,
            -0.154047936,
            -0.154777482,
            -0.155507043,
            -0.156236589,
            -0.156966135,
            -0.157695681,
            -0.158425242,
            -0.159154788,
            -0.159884334,
            -0.16061388,
            -0.16134344,
            -0.162072986,
            -0.162802532,
            -0.163532078,
            -0.164261639,
            -0.164991185,
            -0.165720731,
            -0.166450277,
            -0.167179838,
            -0.167909384,
            -0.16863893,
            -0.169368476,
            -0.170098037,
            -0.170827582,
            -0.171557128,
            -0.172286674,
            -0.17301622,
            -0.173745781,
            -0.174475327,
            -0.175204873,
            -0.175934419,
            -0.17666398,
            -0.177393526,
            -0.178123072,
            -0.178852618,
            -0.179582179,
            -0.180311725,
            -0.18104127,
            -0.181770816,
            -0.182500377,
            -0.183229923,
            -0.183959469,
            -0.184689015,
            -0.185418576,
            -0.186148122,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.18576324,
            -0.185033694,
            -0.184304133,
            -0.183574587,
            -0.182845041,
            -0.182115495,
            -0.181385934,
            -0.180656388,
            -0.179926842,
            -0.179197297,
            -0.178467751,
            -0.17773819,
            -0.177008644,
            -0.176279098,
            -0.175549552,
            -0.174819991,
            -0.174090445,
            -0.173360899,
            -0.172631353,
            -0.171901792,
            -0.171172246,
            -0.1704427,
            -0.169713154,
            -0.168983594,
            -0.168254048,
            -0.167524502,
            -0.166794956,
            -0.166065395,
            -0.165335849,
            -0.164606303,
            -0.163876757,
            -0.163147196,
            -0.16241765,
            -0.161688104,
            -0.160958558,
            -0.160228997,
            -0.159499452,
            -0.158769906,
            -0.15804036,
            -0.157310799,
            -0.156581253,
            -0.155851707,
            -0.155122161,
            -0.1543926,
            -0.153663054,
            -0.152933508,
            -0.152203962,
            -0.151474416,
            -0.150744855,
            -0.150015309,
            -0.149285764,
            -0.148556218,
            -0.147826657,
            -0.147097111,
            -0.146367565,
            -0.145638019,
            -0.144908458,
            -0.144178912,
            -0.143449366,
            -0.14271982,
            -0.141990259,
            -0.141260713,
            -0.140531167,
            -0.139801621,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139267385,
            -0.139996931,
            -0.140726477,
            -0.141456023,
            -0.142185584,
            -0.14291513,
            -0.143644676,
            -0.144374222,
            -0.145103782,
            -0.145833328,
            -0.146562874,
            -0.14729242,
            -0.148021966,
            -0.148751527,
            -0.149481073,
            -0.150210619,
            -0.150940165,
            -0.151669726,
            -0.152399272,
            -0.153128818,
            -0.153858364,
            -0.154587924,
            -0.15531747,
            -0.156047016,
            -0.156776562,
            -0.157506123,
            -0.158235669,
            -0.158965215,
            -0.159694761,
            -0.160424322,
            -0.161153868,
            -0.161883414,
            -0.16261296,
            -0.163939938,
            -0.165399045,
            -0.166858137,
            -0.168317243,
            -0.169776335,
            -0.171235442,
            -0.172694534,
            -0.174153641,
            -0.175612733,
            -0.17707184,
            -0.178530931,
            -0.179990038,
            -0.18144913,
            -0.182908237,
            -0.184367329,
            -0.185826421,
            -0.186780021,
            -0.187509567,
            -0.188239112,
            -0.188968658,
            -0.189698219,
            -0.190427765,
            -0.191157311,
            -0.191886857,
            -0.192616403,
            -0.193345964,
            -0.19407551,
            -0.194805056,
            -0.195534602,
            -0.196264163,
            -0.196993709,
            -0.197723255,
            -0.198590681,
            -0.199563414,
            -0.200536147,
            -0.20150888,
            -0.202481613,
            -0.203454345,
            -0.204427063,
            -0.205399811,
            -0.206372529,
            -0.207345277,
            -0.208317995,
            -0.209290743,
            -0.210263461,
            -0.211236194,
            -0.212208927,
            -0.21318166,
            -0.214047164,
            -0.214776725,
            -0.215506271,
            -0.216235816,
            -0.216965362,
            -0.217694923,
            -0.218424469,
            -0.219154015,
            -0.219883561,
            -0.220613122,
            -0.221342668,
            -0.222072214,
            -0.22280176,
            -0.223531306,
            -0.224260867,
            -0.224990413,
            -0.225719959,
            -0.226449504,
            -0.227179065,
            -0.227908611,
            -0.228638157,
            -0.229367703,
            -0.230097264,
            -0.23082681,
            -0.231556356,
            -0.232285902,
            -0.233015463,
            -0.233745009,
            -0.234474555,
            -0.235204101,
            -0.235933661,
            -0.236663207,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237300843,
            -0.238030389,
            -0.23875995,
            -0.239489496,
            -0.240219042,
            -0.240948588,
            -0.241678149,
            -0.242407694,
            -0.24313724,
            -0.243866786,
            -0.244596332,
            -0.245325893,
            -0.246055439,
            -0.246784985,
            -0.247514531,
            -0.248244092,
            -0.248973638,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.249019593,
            -0.248611733,
            -0.247882187,
            -0.247152641,
            -0.246423081,
            -0.245693535,
            -0.244963989,
            -0.244234443,
            -0.243504882,
            -0.242775336,
            -0.24204579,
            -0.241316244,
            -0.240586683,
            -0.239857137,
            -0.239127591,
            -0.238398045,
            -0.237668484,
            -0.236938938,
            -0.236209393,
            -0.235479847,
            -0.234750286,
            -0.23402074,
            -0.233291194,
            -0.232561648,
            -0.231832087,
            -0.231102541,
            -0.230372995,
            -0.229643449,
            -0.228913903,
            -0.228184342,
            -0.227454796,
            -0.22672525,
            -0.22599569,
            -0.224743396,
            -0.222311571,
            -0.219879732,
            -0.217447907,
            -0.215016067,
            -0.212584242,
            -0.210152403,
            -0.207720578,
            -0.205288738,
            -0.202856913,
            -0.200425074,
            -0.197993249,
            -0.195561409,
            -0.193129584,
            -0.190697759,
            -0.18826592,
            -0.186010256,
            -0.18455115,
            -0.183092058,
            -0.181632951,
            -0.180173859,
            -0.178714752,
            -0.17725566,
            -0.175796553,
            -0.174337462,
            -0.172878355,
            -0.171419263,
            -0.169960156,
            -0.168501064,
            -0.167041957,
            -0.165582865,
            -0.164123759,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162251055,
            -0.161521509,
            -0.160791963,
            -0.160062417,
            -0.159332871,
            -0.158603311,
            -0.157873765,
            -0.157144219,
            -0.156414673,
            -0.155685112,
            -0.154955566,
            -0.15422602,
            -0.153496474,
            -0.152766913,
            -0.152037367,
            -0.151307821,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150256574,
            -0.148554295,
            -0.146852016,
            -0.145149723,
            -0.143447444,
            -0.14174515,
            -0.140042871,
            -0.138340592,
            -0.136638299,
            -0.13493602,
            -0.133233741,
            -0.131531447,
            -0.129829168,
            -0.128126889,
            -0.126424596,
            -0.124722317,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123402998,
            -0.122673444,
            -0.121943891,
            -0.121214345,
            -0.120484792,
            -0.119755238,
            -0.119025685,
            -0.118296139,
            -0.117566586,
            -0.116837032,
            -0.116107479,
            -0.115377933,
            -0.114648379,
            -0.113918826,
            -0.113189273,
            -0.112459727,
            -0.111730173,
            -0.111000627,
            -0.110271074,
            -0.109541528,
            -0.108811982,
            -0.108082436,
            -0.107352883,
            -0.106623337,
            -0.105893791,
            -0.105164245,
            -0.104434699,
            -0.103705145,
            -0.102975599,
            -0.102246054,
            -0.101516508,
            -0.100786954,
            -0.100057408,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0994197726,
            -0.0986902192,
            -0.0979606733,
            -0.0972311199,
            -0.0965015739,
            -0.0957720205,
            -0.0950424746,
            -0.0943129212,
            -0.0935833752,
            -0.0928538218,
            -0.0921242759,
            -0.0913947225,
            -0.0906651765,
            -0.0899356306,
            -0.0892060772,
            -0.0884765238,
            -0.0877469778,
            -0.0870174319,
            -0.0862878785,
            -0.0855583325,
            -0.0848287791,
            -0.0840992332,
            -0.0833696797,
            -0.0826401338,
            -0.0819105804,
            -0.0811810344,
            -0.080451481,
            -0.0797219351,
            -0.0789923817,
            -0.0782628357,
            -0.0775332823,
            -0.0768037364,
            -0.0768669248,
            -0.0775964707,
            -0.0783260241,
            -0.0790555701,
            -0.0797851235,
            -0.0805146694,
            -0.0812442228,
            -0.0819737688,
            -0.0827033222,
            -0.0834328681,
            -0.0841624215,
            -0.0848919675,
            -0.0856215209,
            -0.0863510668,
            -0.0870806202,
            -0.0878101662,
            -0.0885397196,
            -0.0892692655,
            -0.0899988189,
            -0.0907283649,
            -0.0914579183,
            -0.0921874642,
            -0.0929170176,
            -0.0936465636,
            -0.094376117,
            -0.0951056629,
            -0.0958352089,
            -0.0965647623,
            -0.0972943157,
            -0.0980238616,
            -0.0987534076,
            -0.099482961,
            -0.0997874215,
            -0.0990578681,
            -0.0983283222,
            -0.0975987688,
            -0.0968692228,
            -0.0961396694,
            -0.0954101235,
            -0.0946805701,
            -0.0939510241,
            -0.0932214707,
            -0.0924919248,
            -0.0917623714,
            -0.0910328254,
            -0.090303272,
            -0.0895737261,
            -0.0888441727,
            -0.0881146267,
            -0.0873850733,
            -0.0866555274,
            -0.085925974,
            -0.085196428,
            -0.0844668746,
            -0.0837373286,
            -0.0830077752,
            -0.0822782293,
            -0.0815486759,
            -0.0808191299,
            -0.0800895765,
            -0.0793600306,
            -0.0786304772,
            -0.0779009312,
            -0.0771713778,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0764705539,
            -0.0755820721,
            -0.0746093392,
            -0.0736366063,
            -0.0726638734,
            -0.0716911405,
            -0.0707184076,
            -0.0697456747,
            -0.0687729418,
            -0.0678002089,
            -0.066827476,
            -0.0658547431,
            -0.0648820102,
            -0.0639092773,
            -0.0629365444,
            -0.0619638152,
            -0.0609910823,
            -0.0602098331,
            -0.0594802834,
            -0.0587507337,
            -0.0580211841,
            -0.0572916344,
            -0.0565620847,
            -0.055832535,
            -0.0551029854,
            -0.0543734357,
            -0.053643886,
            -0.0529143363,
            -0.0521847866,
            -0.051455237,
            -0.0507256873,
            -0.0499961376,
            -0.0492665879,
            -0.0480545014,
            -0.0465954021,
            -0.0451363027,
            -0.0436772034,
            -0.042218104,
            -0.0407590047,
            -0.0392999053,
            -0.0378408059,
            -0.0363817066,
            -0.0349226072,
            -0.0334635079,
            -0.0320044085,
            -0.030545311,
            -0.0290862117,
            -0.0276271123,
            -0.0261680149,
            -0.0245787073,
            -0.0228764247,
            -0.0211741421,
            -0.0194718596,
            -0.017769577,
            -0.0160672944,
            -0.0143650118,
            -0.0126627302,
            -0.0109604476,
            -0.00925816596,
            -0.00755588338,
            -0.0058536008,
            -0.00415131822,
            -0.00244903564,
            -0.000746753067,
            0.000955529511,
            0.00255824043,
            0.00401733955,
            0.00547643891,
            0.00693553779,
            0.00839463715,
            0.0098537365,
            0.0113128358,
            0.0127719343,
            0.0142310336,
            0.015690133,
            0.0171492323,
            0.0186083317,
            0.020067431,
            0.0215265304,
            0.0229856297,
            0.0244447272,
            0.0261106286,
            0.0282992776,
            0.0304879267,
            0.0326765738,
            0.0348652229,
            0.0370538719,
            0.0392425209,
            0.04143117,
            0.043619819,
            0.045808468,
            0.047997117,
            0.0501857661,
            0.0523744151,
            0.0545630604,
            0.0567517132,
            0.0589403585,
            0.0610524155,
            0.0627546981,
            0.0644569844,
            0.0661592633,
            0.0678615421,
            0.0695638284,
            0.0712661073,
            0.0729683936,
            0.0746706724,
            0.0763729587,
            0.0780752376,
            0.0797775239,
            0.0814798027,
            0.083182089,
            0.0848843679,
            0.0865866542,
            0.0882582963,
            0.0889878497,
            0.0897173956,
            0.090446949,
            0.091176495,
            0.0919060409,
            0.0926355943,
            0.0933651403,
            0.0940946937,
            0.0948242396,
            0.095553793,
            0.096283339,
            0.0970128924,
            0.0977424383,
            0.0984719917,
            0.0992015377,
            0.0999310911,
            0.100660637,
            0.10139019,
            0.102119736,
            0.10284929,
            0.103578836,
            0.104308389,
            0.105037935,
            0.105767488,
            0.106497034,
            0.107226588,
            0.107956134,
            0.108685687,
            0.109415233,
            0.110144787,
            0.110874332,
            0.111603886,
            0.112333432,
            0.113062985,
            0.113792531,
            0.114522085,
            0.115251631,
            0.115981184,
            0.11671073,
            0.117440283,
            0.118169829,
            0.118899383,
            0.119628929,
            0.120358482,
            0.121088028,
            0.121817574,
            0.122547127,
            0.123276681,
            0.124641947,
            0.126344234,
            0.128046513,
            0.129748791,
            0.131451085,
            0.133153364,
            0.134855643,
            0.136557922,
            0.138260216,
            0.139962494,
            0.141664773,
            0.143367052,
            0.145069331,
            0.146771625,
            0.148473904,
            0.150176182,
            0.151750177,
            0.153209269,
            0.154668376,
            0.156127468,
            0.157586575,
            0.159045666,
            0.160504773,
            0.161963865,
            0.163422972,
            0.164882064,
            0.166341171,
            0.167800263,
            0.169259369,
            0.170718461,
            0.172177568,
            0.17363666,
            0.174802795,
            0.175532341,
            0.176261887,
            0.176991448,
            0.177720994,
            0.17845054,
            0.179180086,
            0.179909647,
            0.180639192,
            0.181368738,
            0.182098284,
            0.18282783,
            0.183557391,
            0.184286937,
            0.185016483,
            0.185746029,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186529204,
            0.188231483,
            0.189933762,
            0.191636041,
            0.193338335,
            0.195040613,
            0.196742892,
            0.198445171,
            0.200147465,
            0.201849744,
            0.203552023,
            0.205254301,
            0.206956595,
            0.208658874,
            0.210361153,
            0.212063432,
            0.213759974,
            0.21521908,
            0.216678172,
            0.218137264,
            0.219596371,
            0.221055463,
            0.22251457,
            0.223973662,
            0.225432768,
            0.22689186,
            0.228350967,
            0.229810059,
            0.231269166,
            0.232728258,
            0.234187365,
            0.235646456,
            0.237105563,
            0.237909794,
            0.23863934,
            0.239368886,
            0.240098432,
            0.240827993,
            0.241557539,
            0.242287084,
            0.24301663,
            0.243746191,
            0.244475737,
            0.245205283,
            0.245934829,
            0.24666439,
            0.247393936,
            0.248123482,
            0.248853028,
            0.249582589,
            0.25031215,
            0.251041681,
            0.251771241,
            0.252500802,
            0.253230363,
            0.253959894,
            0.254689455,
            0.255419016,
            0.256148577,
            0.256878108,
            0.257607669,
            0.258337229,
            0.25906679,
            0.259796321,
            0.260525882,
            0.261412442,
            0.26238519,
            0.263357937,
            0.264330655,
            0.265303403,
            0.266276121,
            0.267248869,
            0.268221617,
            0.269194335,
            0.270167083,
            0.27113983,
            0.272112548,
            0.273085296,
            0.274058014,
            0.275030762,
            0.27600351,
            0.276849866,
            0.277579397,
            0.278308958,
            0.279038489,
            0.27976805,
            0.280497581,
            0.281227142,
            0.281956673,
            0.282686234,
            0.283415765,
            0.284145325,
            0.284874856,
            0.285604417,
            0.286333948,
            0.287063509,
            0.28779304,
            0.288522601,
            0.289252132,
            0.289981693,
            0.290711254,
            0.291440785,
            0.292170346,
            0.292899877,
            0.293629438,
            0.294358999,
            0.29508853,
            0.29581809,
            0.296547651,
            0.297277182,
            0.298006743,
            0.298736274,
            0.299465835,
            0.300390691,
            0.301849782,
            0.303308904,
            0.304767996,
            0.306227088,
            0.30768618,
            0.309145302,
            0.310604393,
            0.312063485,
            0.313522577,
            0.314981699,
            0.316440791,
            0.317899883,
            0.319358975,
            0.320818096,
            0.322277188,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.3235448,
            0.324517548,
            0.325490266,
            0.326462984,
            0.327435732,
            0.32840845,
            0.329381198,
            0.330353916,
            0.331326663,
            0.332299381,
            0.333272129,
            0.334244847,
            0.335217595,
            0.336190313,
            0.337163061,
            0.338135779,
            0.339108527,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339681059,
            0.34041062,
            0.341140151,
            0.341869712,
            0.342599243,
            0.343328804,
            0.344058365,
            0.344787896,
            0.345517457,
            0.346247017,
            0.346976548,
            0.347706109,
            0.34843564,
            0.349165201,
            0.349894762,
            0.350624293,
            0.351353854,
            0.352083415,
            0.352812946,
            0.353542507,
            0.354272038,
            0.355001599,
            0.355731159,
            0.35646069,
            0.357190251,
            0.357919812,
            0.358649343,
            0.359378904,
            0.360108435,
            0.360837996,
            0.361567557,
            0.362297088,
            0.363026649,
            0.36375621,
            0.364485741,
            0.365215302,
            0.365944833,
            0.366674393,
            0.367403954,
            0.368133485,
            0.368863046,
            0.369592607,
            0.370322138,
            0.371051699,
            0.37178123,
            0.372510791,
            0.373240352,
            0.373969883,
            0.374952197,
            0.376654476,
            0.378356755,
            0.380059034,
            0.381761312,
            0.383463621,
            0.3851659,
            0.386868179,
            0.388570458,
            0.390272737,
            0.391975015,
            0.393677294,
            0.395379573,
            0.397081852,
            0.398784161,
            0.400486439,
            0.402058512,
            0.402788043,
            0.403517604,
            0.404247135,
            0.404976696,
            0.405706227,
            0.406435788,
            0.407165319,
            0.40789488,
            0.408624411,
            0.409353971,
            0.410083503,
            0.410813063,
            0.411542594,
            0.412272155,
            0.413001686,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413449764,
            0.412720203,
            0.411990672,
            0.411261111,
            0.41053158,
            0.40980202,
            0.409072489,
            0.408342928,
            0.407613397,
            0.406883836,
            0.406154305,
            0.405424744,
            0.404695213,
            0.403965652,
            0.403236121,
            0.40250656,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.401838303,
            0.400865555,
            0.399892837,
            0.398920089,
            0.397947371,
            0.396974623,
            0.396001905,
            0.395029157,
            0.394056439,
            0.393083692,
            0.392110974,
            0.391138226,
            0.390165508,
            0.38919276,
            0.388220042,
            0.387247324
          ],
          [
            0.386274576,
            0.387247294,
            0.388220042,
            0.38919276,
            0.390165508,
            0.391138226,
            0.392110974,
            0.393083692,
            0.394056439,
            0.395029157,
            0.396001905,
            0.396974623,
            0.397947371,
            0.398920089,
            0.399892837,
            0.400865555,
            0.401838303,
            0.403236121,
            0.404695213,
            0.406154335,
            0.407613426,
            0.409072518,
            0.41053161,
            0.411990732,
            0.413449824,
            0.414908916,
            0.416368008,
            0.417827129,
            0.419286221,
            0.420745313,
            0.422204405,
            0.423663527,
            0.425122619,
            0.426036,
            0.426765531,
            0.427495092,
            0.428224623,
            0.428954184,
            0.429683745,
            0.430413276,
            0.431142837,
            0.431872368,
            0.432601929,
            0.43333149,
            0.434061021,
            0.434790581,
            0.435520142,
            0.436249673,
            0.436979234,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.436893076,
            0.436163515,
            0.435433954,
            0.434704423,
            0.433974862,
            0.433245301,
            0.43251577,
            0.431786209,
            0.431056678,
            0.430327117,
            0.429597557,
            0.428868026,
            0.428138465,
            0.427408904,
            0.426679373,
            0.425949812,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.425576419,
            0.426305979,
            0.42703554,
            0.427765071,
            0.428494632,
            0.429224163,
            0.429953724,
            0.430683285,
            0.431412816,
            0.432142377,
            0.432871938,
            0.433601469,
            0.43433103,
            0.435060561,
            0.435790122,
            0.436519682,
            0.437249213,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.437254965,
            0.436714977,
            0.435985446,
            0.435255885,
            0.434526324,
            0.433796793,
            0.433067232,
            0.432337701,
            0.43160814,
            0.43087858,
            0.430149049,
            0.429419488,
            0.428689927,
            0.427960396,
            0.427230835,
            0.426501274,
            0.425771743,
            0.424594134,
            0.423135012,
            0.42167592,
            0.420216829,
            0.418757737,
            0.417298615,
            0.415839523,
            0.414380431,
            0.412921339,
            0.411462218,
            0.410003126,
            0.408544034,
            0.407084942,
            0.40562582,
            0.404166728,
            0.402707636,
            0.400773644,
            0.398341835,
            0.395909995,
            0.393478155,
            0.391046315,
            0.388614506,
            0.386182666,
            0.383750826,
            0.381318986,
            0.378887177,
            0.376455337,
            0.374023497,
            0.371591687,
            0.369159847,
            0.366728008,
            0.364296168,
            0.362216681,
            0.36075756,
            0.359298468,
            0.357839376,
            0.356380284,
            0.354921162,
            0.35346207,
            0.352002978,
            0.350543886,
            0.349084795,
            0.347625673,
            0.346166581,
            0.344707489,
            0.343248397,
            0.341789275,
            0.340330184,
            0.33898598,
            0.338013232,
            0.337040514,
            0.336067766,
            0.335095048,
            0.3341223,
            0.333149582,
            0.332176834,
            0.331204116,
            0.330231369,
            0.329258651,
            0.328285903,
            0.327313185,
            0.326340437,
            0.325367719,
            0.324394971,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.322903335,
            0.322173774,
            0.321444243,
            0.320714682,
            0.319985121,
            0.31925559,
            0.31852603,
            0.317796499,
            0.317066938,
            0.316337377,
            0.315607846,
            0.314878285,
            0.314148724,
            0.313419193,
            0.312689632,
            0.311960101,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.312207103,
            0.312936664,
            0.313666195,
            0.314395756,
            0.315125287,
            0.315854847,
            0.316584408,
            0.317313939,
            0.3180435,
            0.318773061,
            0.319502592,
            0.320232153,
            0.320961684,
            0.321691245,
            0.322420806,
            0.323150337,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323270977,
            0.322541416,
            0.321811885,
            0.321082324,
            0.320352793,
            0.319623232,
            0.318893671,
            0.31816414,
            0.317434579,
            0.316705048,
            0.315975487,
            0.315245926,
            0.314516395,
            0.313786834,
            0.313057274,
            0.312327743,
            0.311431587,
            0.309972495,
            0.308513403,
            0.307054311,
            0.305595189,
            0.304136097,
            0.302677006,
            0.301217914,
            0.299758792,
            0.2982997,
            0.296840608,
            0.295381516,
            0.293922395,
            0.292463303,
            0.291004211,
            0.289545119,
            0.288160682,
            0.287431151,
            0.28670159,
            0.285972059,
            0.285242498,
            0.284512967,
            0.283783406,
            0.283053875,
            0.282324314,
            0.281594783,
            0.280865222,
            0.280135691,
            0.27940613,
            0.278676599,
            0.277947038,
            0.277217507,
            0.276487947,
            0.274808645,
            0.273106366,
            0.271404058,
            0.269701779,
            0.26799947,
            0.266297191,
            0.264594913,
            0.262892604,
            0.261190325,
            0.259488046,
            0.257785738,
            0.256083459,
            0.25438118,
            0.252678871,
            0.250976592,
            0.249274299,
            0.247778818,
            0.246319711,
            0.244860619,
            0.243401513,
            0.241942421,
            0.240483314,
            0.239024222,
            0.237565115,
            0.236106023,
            0.234646916,
            0.233187824,
            0.231728718,
            0.230269626,
            0.228810519,
            0.227351427,
            0.22589232,
            0.224433228,
            0.222974136,
            0.221515045,
            0.220055938,
            0.218596846,
            0.217137754,
            0.215678662,
            0.214219555,
            0.212760463,
            0.211301371,
            0.20984228,
            0.208383173,
            0.206924081,
            0.205464989,
            0.204005897,
            0.202546805,
            0.200505599,
            0.19807376,
            0.195641935,
            0.193210095,
            0.19077827,
            0.188346431,
            0.185914606,
            0.183482766,
            0.181050941,
            0.178619102,
            0.176187277,
            0.173755437,
            0.171323612,
            0.168891773,
            0.166459948,
            0.164028108,
            0.162055835,
            0.160596728,
            0.159137636,
            0.15767853,
            0.156219423,
            0.154760331,
            0.153301224,
            0.151842117,
            0.150383011,
            0.148923919,
            0.147464812,
            0.146005705,
            0.144546598,
            0.143087506,
            0.141628399,
            0.140169293,
            0.138878703,
            0.13790597,
            0.136933237,
            0.135960504,
            0.134987772,
            0.134015039,
            0.133042306,
            0.132069573,
            0.13109684,
            0.130124107,
            0.129151374,
            0.128178641,
            0.127205908,
            0.126233175,
            0.125260442,
            0.12428771,
            0.123368591,
            0.122639038,
            0.121909492,
            0.121179938,
            0.120450392,
            0.119720839,
            0.118991293,
            0.11826174,
            0.117532194,
            0.11680264,
            0.116073094,
            0.115343541,
            0.114613995,
            0.113884442,
            0.113154896,
            0.112425342,
            0.111695796,
            0.110966243,
            0.110236697,
            0.109507143,
            0.108777598,
            0.108048044,
            0.107318498,
            0.106588945,
            0.105859399,
            0.105129845,
            0.104400299,
            0.103670746,
            0.1029412,
            0.102211654,
            0.101482101,
            0.100752547,
            0.100023001,
            0.0992934555,
            0.0985639021,
            0.0978343561,
            0.0971048027,
            0.0963752568,
            0.0956457034,
            0.0949161574,
            0.094186604,
            0.0934570581,
            0.0927275047,
            0.0919979587,
            0.0912684053,
            0.0905388594,
            0.089809306,
            0.08907976,
            0.0883502066,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0878044814,
            0.0870749354,
            0.086345382,
            0.0856158361,
            0.0848862827,
            0.0841567367,
            0.0834271833,
            0.0826976374,
            0.081968084,
            0.081238538,
            0.0805089846,
            0.0797794387,
            0.0790498853,
            0.0783203393,
            0.0775907859,
            0.07686124,
            0.0756797865,
            0.0739775077,
            0.0722752213,
            0.0705729425,
            0.0688706636,
            0.0671683773,
            0.065466091,
            0.0637638122,
            0.0620615296,
            0.060359247,
            0.0586569682,
            0.0569546819,
            0.055252403,
            0.0535501167,
            0.0518478379,
            0.0501455516,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0490196347,
            0.0488645323,
            0.0481349826,
            0.0474054329,
            0.0466758832,
            0.0459463336,
            0.0452167839,
            0.0444872379,
            0.0437576845,
            0.0430281386,
            0.0422985889,
            0.0415690392,
            0.0408394858,
            0.0401099399,
            0.0393803902,
            0.0386508405,
            0.0379212908,
            0.0370653607,
            0.0348767117,
            0.0326880626,
            0.0304994155,
            0.0283107664,
            0.0261221174,
            0.0239334702,
            0.0217448212,
            0.0195561722,
            0.0173675232,
            0.0151788741,
            0.0129902251,
            0.0108015761,
            0.00861292705,
            0.00642427802,
            0.00423562899,
            0.00204697996,
            -0.000375276431,
            -0.00280710869,
            -0.00523894047,
            -0.00767077226,
            -0.0101026045,
            -0.0125344368,
            -0.0149662681,
            -0.0173981003,
            -0.0198299326,
            -0.0222617649,
            -0.0246935971,
            -0.0271254275,
            -0.0295572616,
            -0.0319890939,
            -0.0344209224,
            -0.0368527547,
            -0.0392845869,
            -0.0417164192,
            -0.0441482514,
            -0.0465800837,
            -0.0490119159,
            -0.0514437482,
            -0.0538755804,
            -0.0563074127,
            -0.0587392449,
            -0.0611710772,
            -0.0636029094,
            -0.0660347417,
            -0.068466574,
            -0.0708983988,
            -0.0733302385,
            -0.0757620633,
            -0.0775045604,
            -0.0789636597,
            -0.0804227591,
            -0.0818818584,
            -0.0833409578,
            -0.0848000571,
            -0.0862591565,
            -0.0877182558,
            -0.0891773552,
            -0.0906364545,
            -0.0920955539,
            -0.0935546532,
            -0.0950137526,
            -0.0964728519,
            -0.0979319513,
            -0.0993910506,
            -0.100425057,
            -0.101154603,
            -0.101884149,
            -0.102613695,
            -0.103343248,
            -0.104072794,
            -0.10480234,
            -0.105531886,
            -0.10626144,
            -0.106990986,
            -0.107720532,
            -0.108450077,
            -0.109179631,
            -0.109909177,
            -0.110638723,
            -0.111368269,
            -0.112097822,
            -0.112827376,
            -0.113556921,
            -0.114286475,
            -0.115016028,
            -0.115745574,
            -0.116475128,
            -0.117204681,
            -0.117934234,
            -0.11866378,
            -0.119393334,
            -0.120122887,
            -0.120852441,
            -0.121581987,
            -0.12231154,
            -0.123041093,
            -0.123851068,
            -0.124823801,
            -0.125796542,
            -0.126769274,
            -0.127742007,
            -0.12871474,
            -0.129687473,
            -0.130660206,
            -0.131632939,
            -0.132605672,
            -0.13357842,
            -0.134551153,
            -0.135523885,
            -0.136496618,
            -0.137469351,
            -0.138442084,
            -0.139365032,
            -0.140094578,
            -0.140824139,
            -0.141553685,
            -0.142283231,
            -0.143012777,
            -0.143742338,
            -0.144471884,
            -0.14520143,
            -0.145930976,
            -0.146660537,
            -0.147390082,
            -0.148119628,
            -0.148849174,
            -0.149578735,
            -0.150308281,
            -0.151037827,
            -0.151767373,
            -0.152496934,
            -0.15322648,
            -0.153956026,
            -0.154685572,
            -0.155415133,
            -0.156144679,
            -0.156874225,
            -0.15760377,
            -0.158333331,
            -0.159062877,
            -0.159792423,
            -0.160521969,
            -0.161251515,
            -0.161981076,
            -0.162710622,
            -0.163440168,
            -0.164169714,
            -0.164899275,
            -0.165628821,
            -0.166358367,
            -0.167087913,
            -0.167817473,
            -0.168547019,
            -0.169276565,
            -0.170006111,
            -0.170735672,
            -0.171465218,
            -0.172194764,
            -0.17292431,
            -0.173653871,
            -0.174383417,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174090445,
            -0.173360899,
            -0.172631353,
            -0.171901792,
            -0.171172246,
            -0.1704427,
            -0.169713154,
            -0.168983594,
            -0.168254048,
            -0.167524502,
            -0.166794956,
            -0.166065395,
            -0.165335849,
            -0.164606303,
            -0.163876757,
            -0.163147196,
            -0.16241765,
            -0.161688104,
            -0.160958558,
            -0.160228997,
            -0.159499452,
            -0.158769906,
            -0.15804036,
            -0.157310799,
            -0.156581253,
            -0.155851707,
            -0.155122161,
            -0.1543926,
            -0.153663054,
            -0.152933508,
            -0.152203962,
            -0.151474416,
            -0.150744855,
            -0.150015309,
            -0.149285764,
            -0.148556218,
            -0.147826657,
            -0.147097111,
            -0.146367565,
            -0.145638019,
            -0.144908458,
            -0.144178912,
            -0.143449366,
            -0.14271982,
            -0.141990259,
            -0.141260713,
            -0.140531167,
            -0.139801621,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139267385,
            -0.139996931,
            -0.140726477,
            -0.141456023,
            -0.142185584,
            -0.14291513,
            -0.143644676,
            -0.144374222,
            -0.145103782,
            -0.145833328,
            -0.146562874,
            -0.14729242,
            -0.148021966,
            -0.148751527,
            -0.149481073,
            -0.150210619,
            -0.150940165,
            -0.152359053,
            -0.15381816,
            -0.155277252,
            -0.156736359,
            -0.158195451,
            -0.159654558,
            -0.16111365,
            -0.162572756,
            -0.164031848,
            -0.165490955,
            -0.166950047,
            -0.168409154,
            -0.169868246,
            -0.171327353,
            -0.172786444,
            -0.174245551,
            -0.175107226,
            -0.175836772,
            -0.176566318,
            -0.177295864,
            -0.178025424,
            -0.17875497,
            -0.179484516,
            -0.180214062,
            -0.180943623,
            -0.181673169,
            -0.182402715,
            -0.183132261,
            -0.183861822,
            -0.184591368,
            -0.185320914,
            -0.18605046,
            -0.186780021,
            -0.187509567,
            -0.188239112,
            -0.188968658,
            -0.189698219,
            -0.190427765,
            -0.191157311,
            -0.191886857,
            -0.192616403,
            -0.193345964,
            -0.19407551,
            -0.194805056,
            -0.195534602,
            -0.196264163,
            -0.196993709,
            -0.197723255,
            -0.198590681,
            -0.199563414,
            -0.200536147,
            -0.20150888,
            -0.202481613,
            -0.203454345,
            -0.204427063,
            -0.205399811,
            -0.206372529,
            -0.207345277,
            -0.208317995,
            -0.209290743,
            -0.210263461,
            -0.211236194,
            -0.212208927,
            -0.21318166,
            -0.214047164,
            -0.214776725,
            -0.215506271,
            -0.216235816,
            -0.216965362,
            -0.217694923,
            -0.218424469,
            -0.219154015,
            -0.219883561,
            -0.220613122,
            -0.221342668,
            -0.222072214,
            -0.22280176,
            -0.223531306,
            -0.224260867,
            -0.224990413,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225536138,
            -0.226265684,
            -0.226995245,
            -0.227724791,
            -0.228454337,
            -0.229183882,
            -0.229913443,
            -0.230642989,
            -0.231372535,
            -0.232102081,
            -0.232831627,
            -0.233561188,
            -0.234290734,
            -0.23502028,
            -0.235749826,
            -0.236479387,
            -0.237208933,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.236938938,
            -0.236209393,
            -0.235479847,
            -0.234750286,
            -0.23402074,
            -0.233291194,
            -0.232561648,
            -0.231832087,
            -0.231102541,
            -0.230372995,
            -0.229643449,
            -0.228913903,
            -0.228184342,
            -0.227454796,
            -0.22672525,
            -0.22599569,
            -0.224967435,
            -0.223265156,
            -0.221562862,
            -0.219860584,
            -0.218158305,
            -0.216456026,
            -0.214753747,
            -0.213051453,
            -0.211349174,
            -0.209646896,
            -0.207944617,
            -0.206242323,
            -0.204540044,
            -0.202837765,
            -0.201135486,
            -0.199433193,
            -0.197774962,
            -0.196315855,
            -0.194856763,
            -0.193397656,
            -0.191938564,
            -0.190479457,
            -0.189020365,
            -0.187561259,
            -0.186102167,
            -0.18464306,
            -0.183183968,
            -0.181724861,
            -0.180265769,
            -0.178806663,
            -0.177347571,
            -0.175888464,
            -0.174469575,
            -0.173740029,
            -0.173010483,
            -0.172280937,
            -0.171551377,
            -0.170821831,
            -0.170092285,
            -0.169362739,
            -0.168633193,
            -0.167903632,
            -0.167174086,
            -0.16644454,
            -0.165714979,
            -0.164985433,
            -0.164255887,
            -0.163526341,
            -0.162796795,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162251055,
            -0.161521509,
            -0.160791963,
            -0.160062417,
            -0.159332871,
            -0.158603311,
            -0.157873765,
            -0.157144219,
            -0.156414673,
            -0.155685112,
            -0.154955566,
            -0.15422602,
            -0.153496474,
            -0.152766913,
            -0.152037367,
            -0.151307821,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150670186,
            -0.149940625,
            -0.149211079,
            -0.148481533,
            -0.147751987,
            -0.147022426,
            -0.14629288,
            -0.145563334,
            -0.144833788,
            -0.144104242,
            -0.143374681,
            -0.142645136,
            -0.14191559,
            -0.141186029,
            -0.140456483,
            -0.139726937,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139215678,
            -0.139047176,
            -0.138074443,
            -0.13710171,
            -0.136128962,
            -0.135156229,
            -0.134183496,
            -0.133210763,
            -0.13223803,
            -0.131265298,
            -0.130292565,
            -0.129319832,
            -0.128347099,
            -0.127374351,
            -0.126401618,
            -0.125428885,
            -0.124456152,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.122857265,
            -0.122127719,
            -0.121398166,
            -0.120668612,
            -0.119939059,
            -0.119209513,
            -0.11847996,
            -0.117750406,
            -0.11702086,
            -0.116291307,
            -0.115561754,
            -0.1148322,
            -0.114102654,
            -0.113373101,
            -0.112643547,
            -0.111913994,
            -0.111184448,
            -0.110454902,
            -0.109725356,
            -0.108995803,
            -0.108266257,
            -0.107536711,
            -0.106807165,
            -0.106077611,
            -0.105348065,
            -0.10461852,
            -0.103888974,
            -0.10315942,
            -0.102429874,
            -0.101700328,
            -0.100970782,
            -0.100241229,
            -0.099511683,
            -0.098782137,
            -0.0980525836,
            -0.0973230377,
            -0.0965934843,
            -0.0958639383,
            -0.0951343849,
            -0.094404839,
            -0.0936752856,
            -0.0929457396,
            -0.0922161862,
            -0.0914866403,
            -0.0907570869,
            -0.0900275409,
            -0.0892979875,
            -0.0885684416,
            -0.0886316299,
            -0.0893611759,
            -0.0900907293,
            -0.0908202752,
            -0.0915498286,
            -0.0922793746,
            -0.093008928,
            -0.093738474,
            -0.0944680274,
            -0.0951975733,
            -0.0959271267,
            -0.0966566727,
            -0.0973862261,
            -0.098115772,
            -0.0988453254,
            -0.0995748714,
            -0.100304425,
            -0.101033971,
            -0.101763517,
            -0.102493063,
            -0.103222609,
            -0.103952162,
            -0.104681708,
            -0.105411254,
            -0.1061408,
            -0.106870353,
            -0.107599899,
            -0.108329445,
            -0.109058991,
            -0.109788544,
            -0.11051809,
            -0.111247636,
            -0.111552097,
            -0.110822544,
            -0.110092998,
            -0.109363452,
            -0.108633906,
            -0.107904352,
            -0.107174806,
            -0.10644526,
            -0.105715714,
            -0.104986161,
            -0.104256615,
            -0.103527069,
            -0.102797523,
            -0.102067977,
            -0.101338424,
            -0.100608878,
            -0.0998793319,
            -0.0991497785,
            -0.0984202325,
            -0.0976906791,
            -0.0969611332,
            -0.0962315798,
            -0.0955020338,
            -0.0947724804,
            -0.0940429345,
            -0.0933133811,
            -0.0925838351,
            -0.0918542817,
            -0.0911247358,
            -0.0903951824,
            -0.0896656364,
            -0.088936083,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0882352591,
            -0.0875689015,
            -0.0868393481,
            -0.0861098021,
            -0.0853802487,
            -0.0846507028,
            -0.0839211494,
            -0.0831916034,
            -0.08246205,
            -0.0817325041,
            -0.0810029507,
            -0.0802734047,
            -0.0795438513,
            -0.0788143054,
            -0.078084752,
            -0.077355206,
            -0.0766256526,
            -0.0757046193,
            -0.0747318864,
            -0.0737591535,
            -0.0727864206,
            -0.0718136877,
            -0.0708409548,
            -0.0698682219,
            -0.0688954964,
            -0.0679227561,
            -0.0669500306,
            -0.0659772977,
            -0.0650045648,
            -0.0640318319,
            -0.063059099,
            -0.0620863624,
            -0.0611136295,
            -0.0598192066,
            -0.0583601072,
            -0.0569010079,
            -0.0554419085,
            -0.0539828092,
            -0.0525237098,
            -0.0510646105,
            -0.0496055111,
            -0.0481464118,
            -0.0466873124,
            -0.0452282131,
            -0.0437691137,
            -0.0423100144,
            -0.040850915,
            -0.0393918157,
            -0.03793272,
            -0.0364736207,
            -0.0350145213,
            -0.033555422,
            -0.0320963226,
            -0.0306372233,
            -0.0291781239,
            -0.0277190246,
            -0.0262599252,
            -0.0248008259,
            -0.0233417265,
            -0.0218826272,
            -0.0204235297,
            -0.0189644303,
            -0.017505331,
            -0.0160462316,
            -0.0145871323,
            -0.0127297491,
            -0.0102979168,
            -0.00786608458,
            -0.00543425325,
            -0.003002421,
            -0.000570588745,
            0.00186124258,
            0.00429307483,
            0.00672490709,
            0.00915673934,
            0.0115885716,
            0.014020402,
            0.0164522342,
            0.0188840665,
            0.0213158987,
            0.023747731,
            0.0261106286,
            0.0282992776,
            0.0304879267,
            0.0326765738,
            0.0348652229,
            0.0370538719,
            0.0392425209,
            0.04143117,
            0.043619819,
            0.045808468,
            0.047997117,
            0.0501857661,
            0.0523744151,
            0.0545630604,
            0.0567517132,
            0.0589403585,
            0.0610524155,
            0.0627546981,
            0.0644569844,
            0.0661592633,
            0.0678615421,
            0.0695638284,
            0.0712661073,
            0.0729683936,
            0.0746706724,
            0.0763729587,
            0.0780752376,
            0.0797775239,
            0.0814798027,
            0.083182089,
            0.0848843679,
            0.0865866542,
            0.0882582963,
            0.0889878497,
            0.0897173956,
            0.090446949,
            0.091176495,
            0.0919060409,
            0.0926355943,
            0.0933651403,
            0.0940946937,
            0.0948242396,
            0.095553793,
            0.096283339,
            0.0970128924,
            0.0977424383,
            0.0984719917,
            0.0992015377,
            0.0999310911,
            0.100660637,
            0.10139019,
            0.102119736,
            0.10284929,
            0.103578836,
            0.104308389,
            0.105037935,
            0.105767488,
            0.106497034,
            0.107226588,
            0.107956134,
            0.108685687,
            0.109415233,
            0.110144787,
            0.110874332,
            0.111603886,
            0.112333432,
            0.113062985,
            0.113792531,
            0.114522085,
            0.115251631,
            0.115981184,
            0.11671073,
            0.117440283,
            0.118169829,
            0.118899383,
            0.119628929,
            0.120358482,
            0.121088028,
            0.121817574,
            0.122547127,
            0.123276681,
            0.124641947,
            0.126344234,
            0.128046513,
            0.129748791,
            0.131451085,
            0.133153364,
            0.134855643,
            0.136557922,
            0.138260216,
            0.139962494,
            0.141664773,
            0.143367052,
            0.145069331,
            0.146771625,
            0.148473904,
            0.150176182,
            0.151365295,
            0.152094856,
            0.152824402,
            0.153553963,
            0.154283509,
            0.155013055,
            0.155742615,
            0.156472161,
            0.157201722,
            0.157931268,
            0.158660829,
            0.159390375,
            0.160119936,
            0.160849482,
            0.161579043,
            0.162308589,
            0.163331121,
            0.164790213,
            0.166249305,
            0.167708397,
            0.169167489,
            0.170626596,
            0.172085688,
            0.173544779,
            0.175003871,
            0.176462978,
            0.17792207,
            0.179381162,
            0.180840254,
            0.182299361,
            0.183758453,
            0.185217544,
            0.1865426,
            0.187515348,
            0.188488081,
            0.189460814,
            0.190433547,
            0.191406295,
            0.192379028,
            0.193351761,
            0.194324493,
            0.195297241,
            0.196269974,
            0.197242707,
            0.19821544,
            0.199188173,
            0.200160921,
            0.201133654,
            0.202179149,
            0.203638241,
            0.205097347,
            0.206556439,
            0.208015531,
            0.209474623,
            0.21093373,
            0.212392822,
            0.213851914,
            0.215311006,
            0.216770113,
            0.218229204,
            0.219688296,
            0.221147388,
            0.22260648,
            0.224065587,
            0.225524679,
            0.226983786,
            0.228442878,
            0.229901969,
            0.231361076,
            0.232820168,
            0.234279275,
            0.235738367,
            0.237197474,
            0.238656566,
            0.240115672,
            0.241574764,
            0.243033871,
            0.244492963,
            0.24595207,
            0.247411162,
            0.248870268,
            0.249674499,
            0.25040406,
            0.251133591,
            0.251863152,
            0.252592713,
            0.253322273,
            0.254051805,
            0.254781365,
            0.255510926,
            0.256240487,
            0.256970018,
            0.257699579,
            0.25842914,
            0.259158701,
            0.259888232,
            0.260617793,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.261412442,
            0.26238519,
            0.263357937,
            0.264330655,
            0.265303403,
            0.266276121,
            0.267248869,
            0.268221617,
            0.269194335,
            0.270167083,
            0.27113983,
            0.272112548,
            0.273085296,
            0.274058014,
            0.275030762,
            0.27600351,
            0.276849866,
            0.277579397,
            0.278308958,
            0.279038489,
            0.27976805,
            0.280497581,
            0.281227142,
            0.281956673,
            0.282686234,
            0.283415765,
            0.284145325,
            0.284874856,
            0.285604417,
            0.286333948,
            0.287063509,
            0.28779304,
            0.288809806,
            0.290268928,
            0.29172802,
            0.293187112,
            0.294646204,
            0.296105325,
            0.297564417,
            0.299023509,
            0.300482601,
            0.301941693,
            0.303400815,
            0.304859906,
            0.306318998,
            0.30777809,
            0.309237212,
            0.310696304,
            0.311960101,
            0.312689632,
            0.313419193,
            0.314148724,
            0.314878285,
            0.315607846,
            0.316337377,
            0.317066938,
            0.317796499,
            0.31852603,
            0.31925559,
            0.319985121,
            0.320714682,
            0.321444243,
            0.322173774,
            0.322903335,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.3235448,
            0.324517548,
            0.325490266,
            0.326462984,
            0.327435732,
            0.32840845,
            0.329381198,
            0.330353916,
            0.331326663,
            0.332299381,
            0.333272129,
            0.334244847,
            0.335217595,
            0.336190313,
            0.337163061,
            0.338135779,
            0.339108527,
            0.33986488,
            0.340594441,
            0.341323972,
            0.342053533,
            0.342783093,
            0.343512625,
            0.344242185,
            0.344971716,
            0.345701277,
            0.346430838,
            0.347160369,
            0.34788993,
            0.348619491,
            0.349349022,
            0.350078583,
            0.350808114,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.351445764,
            0.352175325,
            0.352904856,
            0.353634417,
            0.354363948,
            0.355093509,
            0.35582307,
            0.356552601,
            0.357282162,
            0.358011723,
            0.358741254,
            0.359470814,
            0.360200346,
            0.360929906,
            0.361659467,
            0.362388998,
            0.363118559,
            0.36384812,
            0.364577651,
            0.365307212,
            0.366036743,
            0.366766304,
            0.367495865,
            0.368225396,
            0.368954957,
            0.369684517,
            0.370414048,
            0.371143609,
            0.37187314,
            0.372602701,
            0.373332262,
            0.374061793,
            0.374791354,
            0.375520915,
            0.376250446,
            0.376980007,
            0.377709538,
            0.378439099,
            0.379168659,
            0.37989819,
            0.380627751,
            0.381357312,
            0.382086843,
            0.382816404,
            0.383545935,
            0.384275496,
            0.385005057,
            0.385734588,
            0.38652733,
            0.387500077,
            0.388472795,
            0.389445543,
            0.390418261,
            0.391391009,
            0.392363727,
            0.393336475,
            0.394309193,
            0.395281941,
            0.396254659,
            0.397227407,
            0.398200125,
            0.399172872,
            0.40014559,
            0.401118338,
            0.402058512,
            0.402788043,
            0.403517604,
            0.404247135,
            0.404976696,
            0.405706227,
            0.406435788,
            0.407165319,
            0.40789488,
            0.408624411,
            0.409353971,
            0.410083503,
            0.410813063,
            0.411542594,
            0.412272155,
            0.413001686,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413449764,
            0.412720203,
            0.411990672,
            0.411261111,
            0.41053158,
            0.40980202,
            0.409072489,
            0.408342928,
            0.407613397,
            0.406883836,
            0.406154305,
            0.405424744,
            0.404695213,
            0.403965652,
            0.403236121,
            0.40250656,
            0.401715755,
            0.400743008,
            0.39977029,
            0.398797542,
            0.397824824,
            0.396852076,
            0.395879358,
            0.39490661,
            0.393933892,
            0.392961144,
            0.391988426,
            0.391015679,
            0.390042961,
            0.389070213,
            0.388097495,
            0.387124747,
            0.386182666,
            0.385453105,
            0.384723574,
            0.383994013,
            0.383264452,
            0.382534921,
            0.38180536,
            0.381075829,
            0.380346268,
            0.379616708,
            0.378887177,
            0.378157616,
            0.377428055,
            0.376698524,
            0.375968963,
            0.375239432
          ],
          [
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.375997692,
            0.377699971,
            0.37940225,
            0.381104529,
            0.382806808,
            0.384509116,
            0.386211395,
            0.387913674,
            0.389615953,
            0.391318232,
            0.393020511,
            0.39472279,
            0.396425068,
            0.398127377,
            0.399829656,
            0.401531935,
            0.40250656,
            0.403236121,
            0.403965652,
            0.404695213,
            0.405424744,
            0.406154305,
            0.406883836,
            0.407613397,
            0.408342928,
            0.409072489,
            0.40980202,
            0.41053158,
            0.411261111,
            0.411990672,
            0.412720203,
            0.413449764,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413811654,
            0.414541215,
            0.415270776,
            0.416000336,
            0.416729867,
            0.417459428,
            0.418188989,
            0.41891855,
            0.419648081,
            0.420377642,
            0.421107203,
            0.421836734,
            0.422566295,
            0.423295856,
            0.424025416,
            0.424754977,
            0.425484508,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.42549026,
            0.424950272,
            0.424220711,
            0.42349118,
            0.422761619,
            0.422032058,
            0.421302497,
            0.420572966,
            0.419843405,
            0.419113845,
            0.418384284,
            0.417654753,
            0.416925192,
            0.416195631,
            0.41546607,
            0.414736539,
            0.414006978,
            0.413277417,
            0.412547886,
            0.411818326,
            0.411088794,
            0.410359234,
            0.409629703,
            0.408900142,
            0.408170611,
            0.40744105,
            0.406711519,
            0.405981958,
            0.405252427,
            0.404522866,
            0.403793335,
            0.403063774,
            0.402334243,
            0.400773644,
            0.398341835,
            0.395909995,
            0.393478155,
            0.391046315,
            0.388614506,
            0.386182666,
            0.383750826,
            0.381318986,
            0.378887177,
            0.376455337,
            0.374023497,
            0.371591687,
            0.369159847,
            0.366728008,
            0.364296168,
            0.362216681,
            0.36075756,
            0.359298468,
            0.357839376,
            0.356380284,
            0.354921162,
            0.35346207,
            0.352002978,
            0.350543886,
            0.349084795,
            0.347625673,
            0.346166581,
            0.344707489,
            0.343248397,
            0.341789275,
            0.340330184,
            0.33898598,
            0.338013232,
            0.337040514,
            0.336067766,
            0.335095048,
            0.3341223,
            0.333149582,
            0.332176834,
            0.331204116,
            0.330231369,
            0.329258651,
            0.328285903,
            0.327313185,
            0.326340437,
            0.325367719,
            0.324394971,
            0.323449045,
            0.322719514,
            0.321989954,
            0.321260422,
            0.320530862,
            0.319801301,
            0.31907177,
            0.318342209,
            0.317612648,
            0.316883117,
            0.316153556,
            0.315424025,
            0.314694464,
            0.313964903,
            0.313235372,
            0.312505811,
            0.31177628,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311506271,
            0.310776711,
            0.310047179,
            0.309317619,
            0.308588088,
            0.307858527,
            0.307128966,
            0.306399435,
            0.305669874,
            0.304940343,
            0.304210782,
            0.303481221,
            0.30275169,
            0.302022129,
            0.301292568,
            0.300563037,
            0.299833477,
            0.299103945,
            0.298374385,
            0.297644824,
            0.296915293,
            0.296185732,
            0.295456171,
            0.29472664,
            0.293997079,
            0.293267548,
            0.292537987,
            0.291808426,
            0.291078895,
            0.290349334,
            0.289619774,
            0.288890243,
            0.288061112,
            0.286358833,
            0.284656554,
            0.282954276,
            0.281251997,
            0.279549718,
            0.277847409,
            0.27614513,
            0.274442852,
            0.272740573,
            0.271038294,
            0.269336015,
            0.267633736,
            0.265931457,
            0.264229178,
            0.26252687,
            0.260824591,
            0.259359747,
            0.257900655,
            0.256441534,
            0.254982442,
            0.25352335,
            0.252064228,
            0.250605136,
            0.249146029,
            0.247686923,
            0.246227831,
            0.244768724,
            0.243309617,
            0.241850525,
            0.240391418,
            0.238932312,
            0.237473205,
            0.236014113,
            0.234555006,
            0.233095914,
            0.231636807,
            0.230177715,
            0.228718609,
            0.227259517,
            0.22580041,
            0.224341318,
            0.222882211,
            0.221423119,
            0.219964013,
            0.218504921,
            0.217045814,
            0.215586722,
            0.214127615,
            0.212492362,
            0.210790068,
            0.209087789,
            0.20738551,
            0.205683231,
            0.203980953,
            0.202278659,
            0.20057638,
            0.198874101,
            0.197171822,
            0.195469528,
            0.19376725,
            0.192064971,
            0.190362692,
            0.188660398,
            0.186958119,
            0.185401365,
            0.183942273,
            0.182483181,
            0.181024089,
            0.179564983,
            0.178105891,
            0.176646799,
            0.175187707,
            0.1737286,
            0.172269508,
            0.170810416,
            0.169351324,
            0.167892218,
            0.166433126,
            0.164974034,
            0.163514942,
            0.162055835,
            0.160596728,
            0.159137636,
            0.15767853,
            0.156219423,
            0.154760331,
            0.153301224,
            0.151842117,
            0.150383011,
            0.148923919,
            0.147464812,
            0.146005705,
            0.144546598,
            0.143087506,
            0.141628399,
            0.140169293,
            0.138878703,
            0.13790597,
            0.136933237,
            0.135960504,
            0.134987772,
            0.134015039,
            0.133042306,
            0.132069573,
            0.13109684,
            0.130124107,
            0.129151374,
            0.128178641,
            0.127205908,
            0.126233175,
            0.125260442,
            0.12428771,
            0.123368591,
            0.122639038,
            0.121909492,
            0.121179938,
            0.120450392,
            0.119720839,
            0.118991293,
            0.11826174,
            0.117532194,
            0.11680264,
            0.116073094,
            0.115343541,
            0.114613995,
            0.113884442,
            0.113154896,
            0.112425342,
            0.111695796,
            0.110966243,
            0.110236697,
            0.109507143,
            0.108777598,
            0.108048044,
            0.107318498,
            0.106588945,
            0.105859399,
            0.105129845,
            0.104400299,
            0.103670746,
            0.1029412,
            0.102211654,
            0.101482101,
            0.100752547,
            0.100023001,
            0.0992934555,
            0.0985639021,
            0.0978343561,
            0.0971048027,
            0.0963752568,
            0.0956457034,
            0.0949161574,
            0.094186604,
            0.0934570581,
            0.0927275047,
            0.0919979587,
            0.0912684053,
            0.0905388594,
            0.089809306,
            0.08907976,
            0.0883502066,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.0882353187,
            0.087712571,
            0.0869830176,
            0.0862534717,
            0.0855239183,
            0.0847943723,
            0.0840648264,
            0.083335273,
            0.0826057196,
            0.0818761736,
            0.0811466277,
            0.0804170743,
            0.0796875209,
            0.0789579749,
            0.078228429,
            0.0774988756,
            0.0767693296,
            0.0758961663,
            0.0749234334,
            0.0739507005,
            0.0729779676,
            0.0720052347,
            0.0710325018,
            0.0700597689,
            0.069087036,
            0.0681143031,
            0.0671415702,
            0.0661688372,
            0.0651961043,
            0.0642233714,
            0.0632506385,
            0.0622779056,
            0.0613051727,
            0.0604454167,
            0.059715867,
            0.0589863174,
            0.0582567677,
            0.057527218,
            0.0567976683,
            0.0560681187,
            0.055338569,
            0.0546090193,
            0.0538794696,
            0.05314992,
            0.0524203703,
            0.0516908206,
            0.0509612709,
            0.0502317213,
            0.0495021716,
            0.0487726219,
            0.0480430722,
            0.0473135225,
            0.0465839729,
            0.0458544232,
            0.0451248735,
            0.0443953238,
            0.0436657742,
            0.0429362245,
            0.0422066748,
            0.0414771251,
            0.0407475755,
            0.0400180258,
            0.0392884761,
            0.0385589264,
            0.0378293768,
            0.0369447283,
            0.035485629,
            0.0340265296,
            0.0325674303,
            0.0311083309,
            0.0296492316,
            0.0281901322,
            0.0267310329,
            0.0252719335,
            0.0238128342,
            0.0223537348,
            0.0208946355,
            0.019435538,
            0.0179764386,
            0.0165173393,
            0.0150582399,
            0.0135780778,
            0.0118757952,
            0.0101735126,
            0.00847123004,
            0.00676894793,
            0.00506666582,
            0.00336438324,
            0.00166210067,
            -4.01819125e-5,
            -0.00174246356,
            -0.00344474614,
            -0.00514702871,
            -0.00684931129,
            -0.00855159387,
            -0.0102538764,
            -0.011956159,
            -0.0136584397,
            -0.0158279408,
            -0.0180165898,
            -0.0202052388,
            -0.022393886,
            -0.024582535,
            -0.0267711841,
            -0.0289598331,
            -0.0311484821,
            -0.0333371311,
            -0.0355257802,
            -0.0377144292,
            -0.0399030782,
            -0.0420917273,
            -0.0442803726,
            -0.0464690253,
            -0.0486576743,
            -0.0504403785,
            -0.0521426611,
            -0.0538449436,
            -0.0555472262,
            -0.0572495088,
            -0.0589517877,
            -0.060654074,
            -0.0623563528,
            -0.0640586391,
            -0.065760918,
            -0.0674632043,
            -0.0691654831,
            -0.070867762,
            -0.0725700483,
            -0.0742723346,
            -0.0759746134,
            -0.0775045604,
            -0.0789636597,
            -0.0804227591,
            -0.0818818584,
            -0.0833409578,
            -0.0848000571,
            -0.0862591565,
            -0.0877182558,
            -0.0891773552,
            -0.0906364545,
            -0.0920955539,
            -0.0935546532,
            -0.0950137526,
            -0.0964728519,
            -0.0979319513,
            -0.0993910506,
            -0.100425057,
            -0.101154603,
            -0.101884149,
            -0.102613695,
            -0.103343248,
            -0.104072794,
            -0.10480234,
            -0.105531886,
            -0.10626144,
            -0.106990986,
            -0.107720532,
            -0.108450077,
            -0.109179631,
            -0.109909177,
            -0.110638723,
            -0.111368269,
            -0.112097822,
            -0.112827376,
            -0.113556921,
            -0.114286475,
            -0.115016028,
            -0.115745574,
            -0.116475128,
            -0.117204681,
            -0.117934234,
            -0.11866378,
            -0.119393334,
            -0.120122887,
            -0.120852441,
            -0.121581987,
            -0.12231154,
            -0.123041093,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123728514,
            -0.124701254,
            -0.12567398,
            -0.126646727,
            -0.12761946,
            -0.128592193,
            -0.129564926,
            -0.130537659,
            -0.131510392,
            -0.132483125,
            -0.133455858,
            -0.134428591,
            -0.135401338,
            -0.136374071,
            -0.137346804,
            -0.138319537,
            -0.139273122,
            -0.140002668,
            -0.140732229,
            -0.141461775,
            -0.142191321,
            -0.142920867,
            -0.143650427,
            -0.144379973,
            -0.145109519,
            -0.145839065,
            -0.146568626,
            -0.147298172,
            -0.148027718,
            -0.148757264,
            -0.14948681,
            -0.150216371,
            -0.150945917,
            -0.151675463,
            -0.152405009,
            -0.15313457,
            -0.153864115,
            -0.154593661,
            -0.155323207,
            -0.156052768,
            -0.156782314,
            -0.15751186,
            -0.158241406,
            -0.158970967,
            -0.159700513,
            -0.160430059,
            -0.161159605,
            -0.161889166,
            -0.162618712,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162509561,
            -0.161780015,
            -0.161050469,
            -0.160320923,
            -0.159591362,
            -0.158861816,
            -0.15813227,
            -0.157402724,
            -0.156673163,
            -0.155943617,
            -0.155214071,
            -0.154484525,
            -0.153754964,
            -0.153025419,
            -0.152295873,
            -0.151566327,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.15103209,
            -0.151761636,
            -0.152491182,
            -0.153220728,
            -0.153950289,
            -0.154679835,
            -0.155409381,
            -0.156138927,
            -0.156868488,
            -0.157598034,
            -0.158327579,
            -0.159057125,
            -0.159786671,
            -0.160516232,
            -0.161245778,
            -0.161975324,
            -0.16270487,
            -0.164123759,
            -0.165582865,
            -0.167041957,
            -0.168501064,
            -0.169960156,
            -0.171419263,
            -0.172878355,
            -0.174337462,
            -0.175796553,
            -0.17725566,
            -0.178714752,
            -0.180173859,
            -0.181632951,
            -0.183092058,
            -0.18455115,
            -0.186010256,
            -0.186871931,
            -0.187601477,
            -0.188331023,
            -0.189060569,
            -0.18979013,
            -0.190519676,
            -0.191249222,
            -0.191978768,
            -0.192708328,
            -0.193437874,
            -0.19416742,
            -0.194896966,
            -0.195626527,
            -0.196356073,
            -0.197085619,
            -0.197815165,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198590681,
            -0.199563414,
            -0.200536147,
            -0.20150888,
            -0.202481613,
            -0.203454345,
            -0.204427063,
            -0.205399811,
            -0.206372529,
            -0.207345277,
            -0.208317995,
            -0.209290743,
            -0.210263461,
            -0.211236194,
            -0.212208927,
            -0.21318166,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213955253,
            -0.214684799,
            -0.21541436,
            -0.216143906,
            -0.216873452,
            -0.217602998,
            -0.218332559,
            -0.219062105,
            -0.219791651,
            -0.220521197,
            -0.221250758,
            -0.221980304,
            -0.222709849,
            -0.223439395,
            -0.224168956,
            -0.224898502,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225490183,
            -0.225266144,
            -0.224536598,
            -0.223807052,
            -0.223077506,
            -0.222347945,
            -0.221618399,
            -0.220888853,
            -0.220159307,
            -0.219429746,
            -0.2187002,
            -0.217970654,
            -0.217241108,
            -0.216511548,
            -0.215782002,
            -0.215052456,
            -0.21432291,
            -0.213417187,
            -0.211714908,
            -0.21001263,
            -0.208310336,
            -0.206608057,
            -0.204905778,
            -0.203203499,
            -0.20150122,
            -0.199798927,
            -0.198096648,
            -0.196394369,
            -0.19469209,
            -0.192989796,
            -0.191287518,
            -0.189585239,
            -0.18788296,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.185596645,
            -0.184867099,
            -0.184137553,
            -0.183408007,
            -0.182678446,
            -0.1819489,
            -0.181219354,
            -0.180489808,
            -0.179760247,
            -0.179030702,
            -0.178301156,
            -0.17757161,
            -0.176842049,
            -0.176112503,
            -0.175382957,
            -0.174653411,
            -0.17392385,
            -0.173194304,
            -0.172464758,
            -0.171735212,
            -0.171005651,
            -0.170276105,
            -0.169546559,
            -0.168817014,
            -0.168087453,
            -0.167357907,
            -0.166628361,
            -0.165898815,
            -0.165169269,
            -0.164439708,
            -0.163710162,
            -0.162980616,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162434891,
            -0.16170533,
            -0.160975784,
            -0.160246238,
            -0.159516692,
            -0.158787131,
            -0.158057585,
            -0.157328039,
            -0.156598493,
            -0.155868948,
            -0.155139387,
            -0.154409841,
            -0.153680295,
            -0.152950734,
            -0.152221188,
            -0.151491642,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150945917,
            -0.150216371,
            -0.14948681,
            -0.148757264,
            -0.148027718,
            -0.147298172,
            -0.146568626,
            -0.145839065,
            -0.145109519,
            -0.144379973,
            -0.143650427,
            -0.142920867,
            -0.142191321,
            -0.141461775,
            -0.140732229,
            -0.140002668,
            -0.139273122,
            -0.138319537,
            -0.137346804,
            -0.136374071,
            -0.135401338,
            -0.134428591,
            -0.133455858,
            -0.132483125,
            -0.131510392,
            -0.130537659,
            -0.129564926,
            -0.128592193,
            -0.12761946,
            -0.126646727,
            -0.12567398,
            -0.124701254,
            -0.123728514,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123041093,
            -0.12231154,
            -0.121581987,
            -0.120852441,
            -0.120122887,
            -0.119393334,
            -0.11866378,
            -0.117934234,
            -0.117204681,
            -0.116475128,
            -0.115745574,
            -0.115016028,
            -0.114286475,
            -0.113556921,
            -0.112827376,
            -0.112097822,
            -0.112161011,
            -0.112890564,
            -0.11362011,
            -0.114349663,
            -0.115079217,
            -0.11580877,
            -0.116538316,
            -0.117267869,
            -0.117997423,
            -0.118726976,
            -0.119456522,
            -0.120186076,
            -0.120915629,
            -0.121645182,
            -0.122374728,
            -0.123104282,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123316824,
            -0.122587278,
            -0.121857725,
            -0.121128172,
            -0.120398626,
            -0.119669072,
            -0.118939519,
            -0.118209966,
            -0.11748042,
            -0.116750866,
            -0.116021313,
            -0.115291759,
            -0.114562213,
            -0.11383266,
            -0.113103107,
            -0.112373561,
            -0.111644007,
            -0.110914461,
            -0.110184908,
            -0.109455362,
            -0.108725816,
            -0.10799627,
            -0.107266717,
            -0.106537171,
            -0.105807625,
            -0.105078079,
            -0.104348525,
            -0.103618979,
            -0.102889434,
            -0.102159888,
            -0.101430334,
            -0.100700788,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0999999642,
            -0.0993336067,
            -0.0986040533,
            -0.0978745073,
            -0.0971449539,
            -0.096415408,
            -0.0956858546,
            -0.0949563086,
            -0.0942267552,
            -0.0934972093,
            -0.0927676558,
            -0.0920381099,
            -0.0913085565,
            -0.0905790105,
            -0.0898494571,
            -0.0891199112,
            -0.0883903578,
            -0.0876608118,
            -0.0869312584,
            -0.0862017125,
            -0.0854721591,
            -0.0847426131,
            -0.0840130597,
            -0.0832835138,
            -0.0825539604,
            -0.0818244144,
            -0.081094861,
            -0.0803653151,
            -0.0796357691,
            -0.0789062157,
            -0.0781766623,
            -0.0774471164,
            -0.0767175704,
            -0.075344637,
            -0.0736423507,
            -0.0719400719,
            -0.0702377856,
            -0.0685355067,
            -0.0668332204,
            -0.0651309416,
            -0.0634286553,
            -0.0617263764,
            -0.0600240938,
            -0.0583218113,
            -0.0566195287,
            -0.0549172461,
            -0.0532149635,
            -0.0515126809,
            -0.0498103984,
            -0.0478476994,
            -0.0456590503,
            -0.0434704013,
            -0.0412817523,
            -0.039093107,
            -0.0369044542,
            -0.0347158089,
            -0.0325271562,
            -0.0303385109,
            -0.0281498618,
            -0.0259612128,
            -0.0237725638,
            -0.0215839148,
            -0.0193952657,
            -0.0172066167,
            -0.0150179677,
            -0.0127297491,
            -0.0102979168,
            -0.00786608458,
            -0.00543425325,
            -0.003002421,
            -0.000570588745,
            0.00186124258,
            0.00429307483,
            0.00672490709,
            0.00915673934,
            0.0115885716,
            0.014020402,
            0.0164522342,
            0.0188840665,
            0.0213158987,
            0.023747731,
            0.0261106286,
            0.0282992776,
            0.0304879267,
            0.0326765738,
            0.0348652229,
            0.0370538719,
            0.0392425209,
            0.04143117,
            0.043619819,
            0.045808468,
            0.047997117,
            0.0501857661,
            0.0523744151,
            0.0545630604,
            0.0567517132,
            0.0589403585,
            0.0610524155,
            0.0627546981,
            0.0644569844,
            0.0661592633,
            0.0678615421,
            0.0695638284,
            0.0712661073,
            0.0729683936,
            0.0746706724,
            0.0763729587,
            0.0780752376,
            0.0797775239,
            0.0814798027,
            0.083182089,
            0.0848843679,
            0.0865866542,
            0.0882812738,
            0.0897403732,
            0.0911994725,
            0.0926585719,
            0.0941176713,
            0.0955767706,
            0.09703587,
            0.0984949693,
            0.0999540687,
            0.101413168,
            0.102872267,
            0.104331367,
            0.105790466,
            0.107249565,
            0.108708665,
            0.110167764,
            0.111626863,
            0.112425342,
            0.113154896,
            0.113884442,
            0.114613995,
            0.115343541,
            0.116073094,
            0.11680264,
            0.117532194,
            0.11826174,
            0.118991293,
            0.119720839,
            0.120450392,
            0.121179938,
            0.121909492,
            0.122639038,
            0.123368591,
            0.12428771,
            0.125260442,
            0.126233175,
            0.127205908,
            0.128178641,
            0.129151374,
            0.130124107,
            0.13109684,
            0.132069573,
            0.133042306,
            0.134015039,
            0.134987772,
            0.135960504,
            0.136933237,
            0.13790597,
            0.138878703,
            0.1396925,
            0.140422046,
            0.141151592,
            0.141881153,
            0.142610699,
            0.143340245,
            0.144069791,
            0.144799352,
            0.145528898,
            0.146258444,
            0.14698799,
            0.14771755,
            0.148447096,
            0.149176642,
            0.149906188,
            0.150635749,
            0.151365295,
            0.152094856,
            0.152824402,
            0.153553963,
            0.154283509,
            0.155013055,
            0.155742615,
            0.156472161,
            0.157201722,
            0.157931268,
            0.158660829,
            0.159390375,
            0.160119936,
            0.160849482,
            0.161579043,
            0.162308589,
            0.163331121,
            0.164790213,
            0.166249305,
            0.167708397,
            0.169167489,
            0.170626596,
            0.172085688,
            0.173544779,
            0.175003871,
            0.176462978,
            0.17792207,
            0.179381162,
            0.180840254,
            0.182299361,
            0.183758453,
            0.185217544,
            0.186743662,
            0.188445941,
            0.190148219,
            0.191850513,
            0.193552792,
            0.195255071,
            0.19695735,
            0.198659644,
            0.200361922,
            0.202064201,
            0.20376648,
            0.205468774,
            0.207171053,
            0.208873332,
            0.21057561,
            0.212277889,
            0.213943794,
            0.215402901,
            0.216861993,
            0.2183211,
            0.219780192,
            0.221239299,
            0.22269839,
            0.224157497,
            0.225616589,
            0.227075696,
            0.228534788,
            0.229993895,
            0.231452987,
            0.232912093,
            0.234371185,
            0.235830277,
            0.237289384,
            0.238748491,
            0.240207598,
            0.24166669,
            0.243125796,
            0.244584903,
            0.246043995,
            0.247503102,
            0.248962209,
            0.250421315,
            0.251880407,
            0.253339529,
            0.254798621,
            0.256257713,
            0.257716835,
            0.259175926,
            0.260635018,
            0.261657566,
            0.262630284,
            0.263603032,
            0.26457575,
            0.265548497,
            0.266521245,
            0.267493963,
            0.268466711,
            0.269439459,
            0.270412177,
            0.271384925,
            0.272357643,
            0.27333039,
            0.274303138,
            0.275275856,
            0.276248604,
            0.275720119,
            0.274747372,
            0.273774624,
            0.272801906,
            0.271829158,
            0.27085641,
            0.269883692,
            0.268910944,
            0.267938226,
            0.266965479,
            0.265992731,
            0.265020013,
            0.264047265,
            0.263074517,
            0.262101799,
            0.261129051,
            0.261412442,
            0.26238519,
            0.263357937,
            0.264330655,
            0.265303403,
            0.266276121,
            0.267248869,
            0.268221617,
            0.269194335,
            0.270167083,
            0.27113983,
            0.272112548,
            0.273085296,
            0.274058014,
            0.275030762,
            0.27600351,
            0.276849866,
            0.277579397,
            0.278308958,
            0.279038489,
            0.27976805,
            0.280497581,
            0.281227142,
            0.281956673,
            0.282686234,
            0.283415765,
            0.284145325,
            0.284874856,
            0.285604417,
            0.286333948,
            0.287063509,
            0.28779304,
            0.288809806,
            0.290268928,
            0.29172802,
            0.293187112,
            0.294646204,
            0.296105325,
            0.297564417,
            0.299023509,
            0.300482601,
            0.301941693,
            0.303400815,
            0.304859906,
            0.306318998,
            0.30777809,
            0.309237212,
            0.310696304,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311868191,
            0.312597722,
            0.313327283,
            0.314056814,
            0.314786375,
            0.315515935,
            0.316245466,
            0.316975027,
            0.317704588,
            0.318434119,
            0.31916368,
            0.319893211,
            0.320622772,
            0.321352333,
            0.322081864,
            0.322811425,
            0.3235448,
            0.324517548,
            0.325490266,
            0.326462984,
            0.327435732,
            0.32840845,
            0.329381198,
            0.330353916,
            0.331326663,
            0.332299381,
            0.333272129,
            0.334244847,
            0.335217595,
            0.336190313,
            0.337163061,
            0.338135779,
            0.339108527,
            0.33986488,
            0.340594441,
            0.341323972,
            0.342053533,
            0.342783093,
            0.343512625,
            0.344242185,
            0.344971716,
            0.345701277,
            0.346430838,
            0.347160369,
            0.34788993,
            0.348619491,
            0.349349022,
            0.350078583,
            0.350808114,
            0.351537675,
            0.352267236,
            0.352996767,
            0.353726327,
            0.354455888,
            0.355185419,
            0.35591498,
            0.356644511,
            0.357374072,
            0.358103633,
            0.358833164,
            0.359562725,
            0.360292256,
            0.361021817,
            0.361751378,
            0.362480909,
            0.363210469,
            0.36394003,
            0.364669561,
            0.365399122,
            0.366128653,
            0.366858214,
            0.367587775,
            0.368317306,
            0.369046867,
            0.369776428,
            0.370505959,
            0.37123552,
            0.371965051,
            0.372694612,
            0.373424172,
            0.374153703,
            0.374883264,
            0.375612825,
            0.376342356,
            0.377071917,
            0.377801448,
            0.378531009,
            0.37926057,
            0.379990101,
            0.380719662,
            0.381449223,
            0.382178754,
            0.382908314,
            0.383637846,
            0.384367406,
            0.385096967,
            0.385826498,
            0.386649877,
            0.387622625,
            0.388595343,
            0.38956809,
            0.390540808,
            0.391513556,
            0.392486274,
            0.393459022,
            0.39443174,
            0.395404488,
            0.396377206,
            0.397349954,
            0.398322672,
            0.399295419,
            0.400268137,
            0.401240885,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.401966602,
            0.402696133,
            0.403425694,
            0.404155225,
            0.404884785,
            0.405614316,
            0.406343877,
            0.407073408,
            0.407802969,
            0.4085325,
            0.409262061,
            0.409991592,
            0.410721153,
            0.411450684,
            0.412180245,
            0.412909776,
            0.413639337,
            0.414368868,
            0.415098429,
            0.41582799,
            0.41655755,
            0.417287081,
            0.418016642,
            0.418746203,
            0.419475764,
            0.420205295,
            0.420934856,
            0.421664417,
            0.422393978,
            0.423123509,
            0.42385307,
            0.42458263,
            0.425312191,
            0.424938798,
            0.424209237,
            0.423479676,
            0.422750115,
            0.422020584,
            0.421291023,
            0.420561463,
            0.419831902,
            0.419102371,
            0.41837281,
            0.417643249,
            0.416913688,
            0.416184157,
            0.415454596,
            0.414725035,
            0.413995475,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413357854,
            0.412628293,
            0.411898762,
            0.411169201,
            0.41043967,
            0.409710109,
            0.408980578,
            0.408251017,
            0.407521486,
            0.406791925,
            0.406062394,
            0.405332834,
            0.404603302,
            0.403873742,
            0.403144211,
            0.40241465,
            0.401593208,
            0.400620461,
            0.399647743,
            0.398674995,
            0.397702277,
            0.396729529,
            0.395756811,
            0.394784063,
            0.393811345,
            0.392838597,
            0.391865879,
            0.390893131,
            0.389920413,
            0.388947666,
            0.387974948,
            0.3870022,
            0.386090755,
            0.385361195,
            0.384631664,
            0.383902103,
            0.383172542,
            0.382443011,
            0.38171345,
            0.380983919,
            0.380254358,
            0.379524797,
            0.378795266,
            0.378065705,
            0.377336144,
            0.376606613,
            0.375877053,
            0.375147521,
            0.374417961,
            0.3736884,
            0.372958869,
            0.372229308,
            0.371499747,
            0.370770216,
            0.370040655,
            0.369311124,
            0.368581563,
            0.367852002,
            0.367122471,
            0.36639291,
            0.36566335,
            0.364933819,
            0.364204258,
            0.363474727
          ],
          [
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.363382816,
            0.364112347,
            0.364841908,
            0.365571439,
            0.366301,
            0.367030561,
            0.367760092,
            0.368489653,
            0.369219214,
            0.369948745,
            0.370678306,
            0.371407837,
            0.372137398,
            0.372866958,
            0.373596489,
            0.37432605,
            0.375055611,
            0.375785142,
            0.376514703,
            0.377244234,
            0.377973795,
            0.378703356,
            0.379432887,
            0.380162448,
            0.380891979,
            0.38162154,
            0.3823511,
            0.383080631,
            0.383810192,
            0.384539753,
            0.385269284,
            0.385998845,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386512011,
            0.387484759,
            0.388457477,
            0.389430225,
            0.390402943,
            0.391375691,
            0.392348409,
            0.393321157,
            0.394293875,
            0.395266622,
            0.39623934,
            0.397212088,
            0.398184806,
            0.399157554,
            0.400130272,
            0.40110302,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.401363432,
            0.400390685,
            0.399417967,
            0.398445219,
            0.397472501,
            0.396499753,
            0.395527035,
            0.394554287,
            0.393581569,
            0.392608821,
            0.391636103,
            0.390663356,
            0.389690638,
            0.38871789,
            0.387745172,
            0.386772424,
            0.385562271,
            0.384103149,
            0.382644057,
            0.381184965,
            0.379725873,
            0.378266752,
            0.37680766,
            0.375348568,
            0.373889476,
            0.372430354,
            0.370971262,
            0.369512171,
            0.368053079,
            0.366593957,
            0.365134865,
            0.363675773,
            0.362216681,
            0.36075756,
            0.359298468,
            0.357839376,
            0.356380284,
            0.354921162,
            0.35346207,
            0.352002978,
            0.350543886,
            0.349084795,
            0.347625673,
            0.346166581,
            0.344707489,
            0.343248397,
            0.341789275,
            0.340330184,
            0.33898598,
            0.338013232,
            0.337040514,
            0.336067766,
            0.335095048,
            0.3341223,
            0.333149582,
            0.332176834,
            0.331204116,
            0.330231369,
            0.329258651,
            0.328285903,
            0.327313185,
            0.326340437,
            0.325367719,
            0.324394971,
            0.323449045,
            0.322719514,
            0.321989954,
            0.321260422,
            0.320530862,
            0.319801301,
            0.31907177,
            0.318342209,
            0.317612648,
            0.316883117,
            0.316153556,
            0.315424025,
            0.314694464,
            0.313964903,
            0.313235372,
            0.312505811,
            0.31177628,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311506271,
            0.310776711,
            0.310047179,
            0.309317619,
            0.308588088,
            0.307858527,
            0.307128966,
            0.306399435,
            0.305669874,
            0.304940343,
            0.304210782,
            0.303481221,
            0.30275169,
            0.302022129,
            0.301292568,
            0.300563037,
            0.299833477,
            0.299103945,
            0.298374385,
            0.297644824,
            0.296915293,
            0.296185732,
            0.295456171,
            0.29472664,
            0.293997079,
            0.293267548,
            0.292537987,
            0.291808426,
            0.291078895,
            0.290349334,
            0.289619774,
            0.288890243,
            0.288061112,
            0.286358833,
            0.284656554,
            0.282954276,
            0.281251997,
            0.279549718,
            0.277847409,
            0.27614513,
            0.274442852,
            0.272740573,
            0.271038294,
            0.269336015,
            0.267633736,
            0.265931457,
            0.264229178,
            0.26252687,
            0.260824591,
            0.259359747,
            0.257900655,
            0.256441534,
            0.254982442,
            0.25352335,
            0.252064228,
            0.250605136,
            0.249146029,
            0.247686923,
            0.246227831,
            0.244768724,
            0.243309617,
            0.241850525,
            0.240391418,
            0.238932312,
            0.237473205,
            0.236014113,
            0.234555006,
            0.233095914,
            0.231636807,
            0.230177715,
            0.228718609,
            0.227259517,
            0.22580041,
            0.224341318,
            0.222882211,
            0.221423119,
            0.219964013,
            0.218504921,
            0.217045814,
            0.215586722,
            0.214127615,
            0.212492362,
            0.210790068,
            0.209087789,
            0.20738551,
            0.205683231,
            0.203980953,
            0.202278659,
            0.20057638,
            0.198874101,
            0.197171822,
            0.195469528,
            0.19376725,
            0.192064971,
            0.190362692,
            0.188660398,
            0.186958119,
            0.185401365,
            0.183942273,
            0.182483181,
            0.181024089,
            0.179564983,
            0.178105891,
            0.176646799,
            0.175187707,
            0.1737286,
            0.172269508,
            0.170810416,
            0.169351324,
            0.167892218,
            0.166433126,
            0.164974034,
            0.163514942,
            0.162400514,
            0.161670953,
            0.160941407,
            0.160211846,
            0.1594823,
            0.158752739,
            0.158023193,
            0.157293633,
            0.156564087,
            0.155834526,
            0.15510498,
            0.154375419,
            0.153645873,
            0.152916312,
            0.152186766,
            0.151457205,
            0.15039064,
            0.148688361,
            0.146986082,
            0.145283803,
            0.14358151,
            0.141879231,
            0.140176952,
            0.138474673,
            0.136772394,
            0.1350701,
            0.133367822,
            0.131665543,
            0.129963249,
            0.12826097,
            0.126558691,
            0.124856412,
            0.123368591,
            0.122639038,
            0.121909492,
            0.121179938,
            0.120450392,
            0.119720839,
            0.118991293,
            0.11826174,
            0.117532194,
            0.11680264,
            0.116073094,
            0.115343541,
            0.114613995,
            0.113884442,
            0.113154896,
            0.112425342,
            0.111695796,
            0.110966243,
            0.110236697,
            0.109507143,
            0.108777598,
            0.108048044,
            0.107318498,
            0.106588945,
            0.105859399,
            0.105129845,
            0.104400299,
            0.103670746,
            0.1029412,
            0.102211654,
            0.101482101,
            0.100752547,
            0.100023001,
            0.0992934555,
            0.0985639021,
            0.0978343561,
            0.0971048027,
            0.0963752568,
            0.0956457034,
            0.0949161574,
            0.094186604,
            0.0934570581,
            0.0927275047,
            0.0919979587,
            0.0912684053,
            0.0905388594,
            0.089809306,
            0.08907976,
            0.0883502066,
            0.0876206607,
            0.0868911073,
            0.0861615613,
            0.0854320079,
            0.084702462,
            0.0839729086,
            0.0832433626,
            0.0825138092,
            0.0817842633,
            0.0810547099,
            0.0803251639,
            0.0795956105,
            0.0788660645,
            0.0781365111,
            0.0774069652,
            0.0766774118,
            0.0757736191,
            0.0748008862,
            0.0738281533,
            0.0728554204,
            0.0718826875,
            0.0709099546,
            0.0699372217,
            0.0689644888,
            0.0679917559,
            0.067019023,
            0.0660462901,
            0.0650735572,
            0.0641008243,
            0.0631280914,
            0.0621553585,
            0.0611826256,
            0.0603535026,
            0.059623953,
            0.0588944033,
            0.0581648536,
            0.0574353039,
            0.0567057543,
            0.0559762046,
            0.0552466549,
            0.0545171052,
            0.0537875593,
            0.0530580059,
            0.0523284599,
            0.0515989065,
            0.0508693606,
            0.0501398072,
            0.0494102612,
            0.0486807115,
            0.0479511619,
            0.0472216122,
            0.0464920625,
            0.0457625128,
            0.0450329632,
            0.0443034135,
            0.0435738638,
            0.0428443141,
            0.0421147645,
            0.0413852148,
            0.0406556651,
            0.0399261154,
            0.0391965657,
            0.0384670161,
            0.0377374664,
            0.0370079167,
            0.036278367,
            0.0355488174,
            0.0348192677,
            0.034089718,
            0.0333601683,
            0.0326306187,
            0.031901069,
            0.0311715193,
            0.0304419696,
            0.02971242,
            0.0289828703,
            0.0282533206,
            0.0275237709,
            0.0267942213,
            0.0260646716,
            0.0251800213,
            0.0237209238,
            0.0222618245,
            0.0208027251,
            0.0193436258,
            0.0178845264,
            0.016425427,
            0.0149663277,
            0.0135072283,
            0.0120481299,
            0.0105890306,
            0.00912993029,
            0.0076708328,
            0.00621173345,
            0.00475263409,
            0.00329353474,
            0.00181337225,
            0.000111089787,
            -0.00159119256,
            -0.00329347514,
            -0.00499575725,
            -0.00669803936,
            -0.00840032194,
            -0.0101026045,
            -0.0118048871,
            -0.0135071687,
            -0.0152094513,
            -0.0169117339,
            -0.0186140165,
            -0.0203162991,
            -0.0220185816,
            -0.0237208642,
            -0.0254231449,
            -0.0268918183,
            -0.0283509176,
            -0.029810017,
            -0.0312691182,
            -0.0327282175,
            -0.0341873169,
            -0.0356464162,
            -0.0371055156,
            -0.0385646112,
            -0.0400237106,
            -0.0414828099,
            -0.0429419093,
            -0.0444010086,
            -0.045860108,
            -0.0473192073,
            -0.0487783067,
            -0.0504403785,
            -0.0521426611,
            -0.0538449436,
            -0.0555472262,
            -0.0572495088,
            -0.0589517877,
            -0.060654074,
            -0.0623563528,
            -0.0640586391,
            -0.065760918,
            -0.0674632043,
            -0.0691654831,
            -0.070867762,
            -0.0725700483,
            -0.0742723346,
            -0.0759746134,
            -0.0769875571,
            -0.0777171105,
            -0.0784466565,
            -0.0791762099,
            -0.0799057558,
            -0.0806353092,
            -0.0813648552,
            -0.0820944011,
            -0.0828239545,
            -0.0835535005,
            -0.0842830539,
            -0.0850125998,
            -0.0857421532,
            -0.0864716992,
            -0.0872012526,
            -0.0879307985,
            -0.0890854448,
            -0.0905445367,
            -0.0920036361,
            -0.0934627354,
            -0.0949218273,
            -0.0963809267,
            -0.097840026,
            -0.0992991254,
            -0.100758217,
            -0.102217317,
            -0.103676416,
            -0.105135515,
            -0.106594607,
            -0.108053707,
            -0.109512806,
            -0.110971898,
            -0.112097822,
            -0.112827376,
            -0.113556921,
            -0.114286475,
            -0.115016028,
            -0.115745574,
            -0.116475128,
            -0.117204681,
            -0.117934234,
            -0.11866378,
            -0.119393334,
            -0.120122887,
            -0.120852441,
            -0.121581987,
            -0.12231154,
            -0.123041093,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123605967,
            -0.124578699,
            -0.125551432,
            -0.126524165,
            -0.127496913,
            -0.128469646,
            -0.129442379,
            -0.130415112,
            -0.131387845,
            -0.132360578,
            -0.13333331,
            -0.134306043,
            -0.135278791,
            -0.136251524,
            -0.137224257,
            -0.13819699,
            -0.139169723,
            -0.139910758,
            -0.140640303,
            -0.141369864,
            -0.14209941,
            -0.142828956,
            -0.143558502,
            -0.144288063,
            -0.145017609,
            -0.145747155,
            -0.146476701,
            -0.147206262,
            -0.147935808,
            -0.148665354,
            -0.1493949,
            -0.15012446,
            -0.150854006,
            -0.151583552,
            -0.152313098,
            -0.153042659,
            -0.153772205,
            -0.154501751,
            -0.155231297,
            -0.155960858,
            -0.156690404,
            -0.15741995,
            -0.158149496,
            -0.158879057,
            -0.159608603,
            -0.160338148,
            -0.161067694,
            -0.161797255,
            -0.162526801,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162745088,
            -0.162888706,
            -0.163618252,
            -0.164347798,
            -0.165077344,
            -0.165806904,
            -0.16653645,
            -0.167265996,
            -0.167995542,
            -0.168725103,
            -0.169454649,
            -0.170184195,
            -0.170913741,
            -0.171643302,
            -0.172372848,
            -0.173102394,
            -0.17383194,
            -0.174561501,
            -0.175291047,
            -0.176020592,
            -0.176750138,
            -0.177479699,
            -0.178209245,
            -0.178938791,
            -0.179668337,
            -0.180397898,
            -0.181127444,
            -0.18185699,
            -0.182586536,
            -0.183316082,
            -0.184045643,
            -0.184775189,
            -0.185504735,
            -0.18623428,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186871931,
            -0.187601477,
            -0.188331023,
            -0.189060569,
            -0.18979013,
            -0.190519676,
            -0.191249222,
            -0.191978768,
            -0.192708328,
            -0.193437874,
            -0.19416742,
            -0.194896966,
            -0.195626527,
            -0.196356073,
            -0.197085619,
            -0.197815165,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198345572,
            -0.199318305,
            -0.200291038,
            -0.20126377,
            -0.202236503,
            -0.203209236,
            -0.204181969,
            -0.205154702,
            -0.206127435,
            -0.207100168,
            -0.208072901,
            -0.209045634,
            -0.210018367,
            -0.210991099,
            -0.211963832,
            -0.212936565,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.212936565,
            -0.211963832,
            -0.210991099,
            -0.210018367,
            -0.209045634,
            -0.208072901,
            -0.207100168,
            -0.206127435,
            -0.205154702,
            -0.204181969,
            -0.203209236,
            -0.202236503,
            -0.20126377,
            -0.200291038,
            -0.199318305,
            -0.198345572,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198583022,
            -0.199555755,
            -0.200528488,
            -0.20150122,
            -0.202473953,
            -0.203446686,
            -0.204419404,
            -0.205392152,
            -0.20636487,
            -0.207337618,
            -0.208310336,
            -0.209283084,
            -0.210255802,
            -0.211228535,
            -0.212201267,
            -0.213174,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213549316,
            -0.212576583,
            -0.21160385,
            -0.210631117,
            -0.209658384,
            -0.208685651,
            -0.207712919,
            -0.206740186,
            -0.205767453,
            -0.20479472,
            -0.203821987,
            -0.202849254,
            -0.201876521,
            -0.200903788,
            -0.199931055,
            -0.198958322,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.19736135,
            -0.196631804,
            -0.195902258,
            -0.195172712,
            -0.194443151,
            -0.193713605,
            -0.192984059,
            -0.192254514,
            -0.191524953,
            -0.190795407,
            -0.190065861,
            -0.189336315,
            -0.188606754,
            -0.187877208,
            -0.187147662,
            -0.186418116,
            -0.185688555,
            -0.184959009,
            -0.184229463,
            -0.183499917,
            -0.182770357,
            -0.182040811,
            -0.181311265,
            -0.180581719,
            -0.179852158,
            -0.179122612,
            -0.178393066,
            -0.17766352,
            -0.176933974,
            -0.176204413,
            -0.175474867,
            -0.174745321,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174475327,
            -0.173745781,
            -0.17301622,
            -0.172286674,
            -0.171557128,
            -0.170827582,
            -0.170098037,
            -0.169368476,
            -0.16863893,
            -0.167909384,
            -0.167179838,
            -0.166450277,
            -0.165720731,
            -0.164991185,
            -0.164261639,
            -0.163532078,
            -0.162802532,
            -0.162072986,
            -0.16134344,
            -0.16061388,
            -0.159884334,
            -0.159154788,
            -0.158425242,
            -0.157695681,
            -0.156966135,
            -0.156236589,
            -0.155507043,
            -0.154777482,
            -0.154047936,
            -0.15331839,
            -0.152588844,
            -0.151859283,
            -0.151129737,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150675923,
            -0.149946377,
            -0.149216831,
            -0.14848727,
            -0.147757724,
            -0.147028178,
            -0.146298632,
            -0.145569071,
            -0.144839525,
            -0.144109979,
            -0.143380433,
            -0.142650872,
            -0.141921327,
            -0.141191781,
            -0.140462235,
            -0.139732689,
            -0.138932288,
            -0.137959555,
            -0.136986807,
            -0.136014074,
            -0.135041341,
            -0.134068608,
            -0.133095875,
            -0.132123142,
            -0.13115041,
            -0.130177677,
            -0.129204929,
            -0.128232196,
            -0.127259463,
            -0.12628673,
            -0.125313997,
            -0.124341264,
            -0.123408742,
            -0.122679189,
            -0.121949635,
            -0.121220082,
            -0.120490536,
            -0.119760983,
            -0.119031429,
            -0.118301883,
            -0.11757233,
            -0.116842777,
            -0.116113223,
            -0.115383677,
            -0.114654124,
            -0.11392457,
            -0.113195017,
            -0.112465471,
            -0.111735918,
            -0.111006372,
            -0.110276818,
            -0.109547272,
            -0.108817726,
            -0.10808818,
            -0.107358634,
            -0.106629081,
            -0.105899535,
            -0.105169989,
            -0.104440443,
            -0.10371089,
            -0.102981344,
            -0.102251798,
            -0.101522252,
            -0.100792699,
            -0.100063153,
            -0.0993336067,
            -0.0986040533,
            -0.0978745073,
            -0.0971449539,
            -0.096415408,
            -0.0956858546,
            -0.0949563086,
            -0.0942267552,
            -0.0934972093,
            -0.0927676558,
            -0.0920381099,
            -0.0913085565,
            -0.0905790105,
            -0.0898494571,
            -0.0891199112,
            -0.0883903578,
            -0.0876608118,
            -0.0869312584,
            -0.0862017125,
            -0.0854721591,
            -0.0847426131,
            -0.0840130597,
            -0.0832835138,
            -0.0825539604,
            -0.0818244144,
            -0.081094861,
            -0.0803653151,
            -0.0796357691,
            -0.0789062157,
            -0.0781766623,
            -0.0774471164,
            -0.0767175704,
            -0.075344637,
            -0.0736423507,
            -0.0719400719,
            -0.0702377856,
            -0.0685355067,
            -0.0668332204,
            -0.0651309416,
            -0.0634286553,
            -0.0617263764,
            -0.0600240938,
            -0.0583218113,
            -0.0566195287,
            -0.0549172461,
            -0.0532149635,
            -0.0515126809,
            -0.0498103984,
            -0.0478476994,
            -0.0456590503,
            -0.0434704013,
            -0.0412817523,
            -0.039093107,
            -0.0369044542,
            -0.0347158089,
            -0.0325271562,
            -0.0303385109,
            -0.0281498618,
            -0.0259612128,
            -0.0237725638,
            -0.0215839148,
            -0.0193952657,
            -0.0172066167,
            -0.0150179677,
            -0.0127297491,
            -0.0102979168,
            -0.00786608458,
            -0.00543425325,
            -0.003002421,
            -0.000570588745,
            0.00186124258,
            0.00429307483,
            0.00672490709,
            0.00915673934,
            0.0115885716,
            0.014020402,
            0.0164522342,
            0.0188840665,
            0.0213158987,
            0.023747731,
            0.0261106286,
            0.0282992776,
            0.0304879267,
            0.0326765738,
            0.0348652229,
            0.0370538719,
            0.0392425209,
            0.04143117,
            0.043619819,
            0.045808468,
            0.047997117,
            0.0501857661,
            0.0523744151,
            0.0545630604,
            0.0567517132,
            0.0589403585,
            0.0611673072,
            0.0635991395,
            0.0660309717,
            0.068462804,
            0.0708946362,
            0.0733264685,
            0.0757582933,
            0.078190133,
            0.0806219578,
            0.0830537975,
            0.0854856223,
            0.0879174545,
            0.0903492868,
            0.0927811265,
            0.0952129513,
            0.0976447836,
            0.100045979,
            0.101505078,
            0.102964178,
            0.104423277,
            0.105882376,
            0.107341476,
            0.108800575,
            0.110259674,
            0.111718774,
            0.113177873,
            0.114636973,
            0.116096072,
            0.117555171,
            0.119014271,
            0.12047337,
            0.121932469,
            0.123391569,
            0.124410257,
            0.12538299,
            0.126355723,
            0.127328455,
            0.128301188,
            0.129273921,
            0.130246654,
            0.131219387,
            0.13219212,
            0.133164853,
            0.134137586,
            0.135110319,
            0.136083052,
            0.137055784,
            0.138028517,
            0.13900125,
            0.139784411,
            0.140513957,
            0.141243517,
            0.141973063,
            0.142702609,
            0.143432155,
            0.144161716,
            0.144891262,
            0.145620808,
            0.146350354,
            0.147079915,
            0.147809461,
            0.148539007,
            0.149268553,
            0.149998099,
            0.150727659,
            0.151457205,
            0.152186766,
            0.152916312,
            0.153645873,
            0.154375419,
            0.15510498,
            0.155834526,
            0.156564087,
            0.157293633,
            0.158023193,
            0.158752739,
            0.1594823,
            0.160211846,
            0.160941407,
            0.161670953,
            0.162400514,
            0.16313006,
            0.163859606,
            0.164589152,
            0.165318698,
            0.166048244,
            0.16677779,
            0.167507336,
            0.168236881,
            0.168966427,
            0.169695973,
            0.170425519,
            0.171155065,
            0.171884611,
            0.172614157,
            0.173343703,
            0.174073249,
            0.175193414,
            0.176895708,
            0.178597987,
            0.18030028,
            0.182002559,
            0.183704853,
            0.185407132,
            0.187109426,
            0.188811705,
            0.190513998,
            0.192216277,
            0.193918571,
            0.19562085,
            0.197323143,
            0.199025422,
            0.200727701,
            0.20236297,
            0.203822076,
            0.205281168,
            0.20674026,
            0.208199352,
            0.209658459,
            0.211117551,
            0.212576643,
            0.214035735,
            0.215494841,
            0.216953933,
            0.218413025,
            0.219872117,
            0.221331209,
            0.222790316,
            0.224249408,
            0.2257085,
            0.227167606,
            0.228626698,
            0.230085805,
            0.231544897,
            0.233004004,
            0.234463096,
            0.235922202,
            0.237381294,
            0.238840401,
            0.240299493,
            0.2417586,
            0.243217692,
            0.244676799,
            0.24613589,
            0.247594982,
            0.249036863,
            0.249766409,
            0.25049597,
            0.251225531,
            0.251955062,
            0.252684623,
            0.253414184,
            0.254143715,
            0.254873276,
            0.255602837,
            0.256332397,
            0.257061929,
            0.257791489,
            0.25852105,
            0.259250611,
            0.259980142,
            0.260709703,
            0.261657566,
            0.262630284,
            0.263603032,
            0.26457575,
            0.265548497,
            0.266521245,
            0.267493963,
            0.268466711,
            0.269439459,
            0.270412177,
            0.271384925,
            0.272357643,
            0.27333039,
            0.274303138,
            0.275275856,
            0.276248604,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276941776,
            0.277671307,
            0.278400868,
            0.279130399,
            0.27985996,
            0.280589491,
            0.281319052,
            0.282048583,
            0.282778144,
            0.283507675,
            0.284237236,
            0.284966767,
            0.285696328,
            0.286425859,
            0.28715542,
            0.287884951,
            0.288614511,
            0.289344043,
            0.290073603,
            0.290803164,
            0.291532695,
            0.292262256,
            0.292991787,
            0.293721348,
            0.294450909,
            0.29518044,
            0.295910001,
            0.296639562,
            0.297369093,
            0.298098654,
            0.298828185,
            0.299557745,
            0.300287306,
            0.301016837,
            0.301746398,
            0.302475959,
            0.30320549,
            0.303935051,
            0.304664582,
            0.305394143,
            0.306123704,
            0.306853235,
            0.307582796,
            0.308312356,
            0.309041888,
            0.309771448,
            0.310500979,
            0.31123054,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311868191,
            0.312597722,
            0.313327283,
            0.314056814,
            0.314786375,
            0.315515935,
            0.316245466,
            0.316975027,
            0.317704588,
            0.318434119,
            0.31916368,
            0.319893211,
            0.320622772,
            0.321352333,
            0.322081864,
            0.322811425,
            0.3235448,
            0.324517548,
            0.325490266,
            0.326462984,
            0.327435732,
            0.32840845,
            0.329381198,
            0.330353916,
            0.331326663,
            0.332299381,
            0.333272129,
            0.334244847,
            0.335217595,
            0.336190313,
            0.337163061,
            0.338135779,
            0.339108527,
            0.340514004,
            0.341973096,
            0.343432218,
            0.34489131,
            0.346350402,
            0.347809494,
            0.349268615,
            0.350727707,
            0.352186799,
            0.353645891,
            0.355105013,
            0.356564105,
            0.358023196,
            0.359482288,
            0.36094141,
            0.362400502,
            0.36330238,
            0.364031941,
            0.364761472,
            0.365491033,
            0.366220593,
            0.366950125,
            0.367679685,
            0.368409216,
            0.369138777,
            0.369868338,
            0.370597869,
            0.37132743,
            0.372056961,
            0.372786522,
            0.373516083,
            0.374245614,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374883264,
            0.375612825,
            0.376342356,
            0.377071917,
            0.377801448,
            0.378531009,
            0.37926057,
            0.379990101,
            0.380719662,
            0.381449223,
            0.382178754,
            0.382908314,
            0.383637846,
            0.384367406,
            0.385096967,
            0.385826498,
            0.386649877,
            0.387622625,
            0.388595343,
            0.38956809,
            0.390540808,
            0.391513556,
            0.392486274,
            0.393459022,
            0.39443174,
            0.395404488,
            0.396377206,
            0.397349954,
            0.398322672,
            0.399295419,
            0.400268137,
            0.401240885,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.401966602,
            0.402696133,
            0.403425694,
            0.404155225,
            0.404884785,
            0.405614316,
            0.406343877,
            0.407073408,
            0.407802969,
            0.4085325,
            0.409262061,
            0.409991592,
            0.410721153,
            0.411450684,
            0.412180245,
            0.412909776,
            0.413639337,
            0.414368868,
            0.415098429,
            0.41582799,
            0.41655755,
            0.417287081,
            0.418016642,
            0.418746203,
            0.419475764,
            0.420205295,
            0.420934856,
            0.421664417,
            0.422393978,
            0.423123509,
            0.42385307,
            0.42458263,
            0.425312191,
            0.424938798,
            0.424209237,
            0.423479676,
            0.422750115,
            0.422020584,
            0.421291023,
            0.420561463,
            0.419831902,
            0.419102371,
            0.41837281,
            0.417643249,
            0.416913688,
            0.416184157,
            0.415454596,
            0.414725035,
            0.413995475,
            0.413265944,
            0.412536383,
            0.411806852,
            0.411077291,
            0.41034776,
            0.409618199,
            0.408888668,
            0.408159107,
            0.407429576,
            0.406700015,
            0.405970484,
            0.405240923,
            0.404511392,
            0.403781831,
            0.4030523,
            0.402322739,
            0.401470661,
            0.400497913,
            0.399525195,
            0.398552448,
            0.39757973,
            0.396606982,
            0.395634264,
            0.394661516,
            0.393688798,
            0.39271605,
            0.391743332,
            0.390770584,
            0.389797866,
            0.388825119,
            0.387852401,
            0.386879653,
            0.385998845,
            0.385269284,
            0.384539753,
            0.383810192,
            0.383080631,
            0.3823511,
            0.38162154,
            0.380891979,
            0.380162448,
            0.379432887,
            0.378703356,
            0.377973795,
            0.377244234,
            0.376514703,
            0.375785142,
            0.375055611,
            0.37432605,
            0.373596489,
            0.372866958,
            0.372137398,
            0.371407837,
            0.370678306,
            0.369948745,
            0.369219214,
            0.368489653,
            0.367760092,
            0.367030561,
            0.366301,
            0.365571439,
            0.364841908,
            0.364112347,
            0.363382816,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166
          ],
          [
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.351618111,
            0.352347642,
            0.353077203,
            0.353806734,
            0.354536295,
            0.355265856,
            0.355995387,
            0.356724948,
            0.357454509,
            0.35818404,
            0.3589136,
            0.359643131,
            0.360372692,
            0.361102253,
            0.361831784,
            0.362561345,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362923235,
            0.363652796,
            0.364382356,
            0.365111887,
            0.365841448,
            0.366570979,
            0.36730054,
            0.368030101,
            0.368759632,
            0.369489193,
            0.370218754,
            0.370948285,
            0.371677846,
            0.372407377,
            0.373136938,
            0.373866498,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.375049859,
            0.37577939,
            0.376508951,
            0.377238512,
            0.377968043,
            0.378697604,
            0.379427135,
            0.380156696,
            0.380886257,
            0.381615788,
            0.382345349,
            0.383074909,
            0.38380444,
            0.384534001,
            0.385263562,
            0.385993093,
            0.385826498,
            0.385096967,
            0.384367406,
            0.383637846,
            0.382908314,
            0.382178754,
            0.381449223,
            0.380719662,
            0.379990101,
            0.37926057,
            0.378531009,
            0.377801448,
            0.377071917,
            0.376342356,
            0.375612825,
            0.374883264,
            0.374153703,
            0.373424172,
            0.372694612,
            0.371965051,
            0.37123552,
            0.370505959,
            0.369776428,
            0.369046867,
            0.368317306,
            0.367587775,
            0.366858214,
            0.366128653,
            0.365399122,
            0.364669561,
            0.36394003,
            0.363210469,
            0.362216681,
            0.36075756,
            0.359298468,
            0.357839376,
            0.356380284,
            0.354921162,
            0.35346207,
            0.352002978,
            0.350543886,
            0.349084795,
            0.347625673,
            0.346166581,
            0.344707489,
            0.343248397,
            0.341789275,
            0.340330184,
            0.33898598,
            0.338013232,
            0.337040514,
            0.336067766,
            0.335095048,
            0.3341223,
            0.333149582,
            0.332176834,
            0.331204116,
            0.330231369,
            0.329258651,
            0.328285903,
            0.327313185,
            0.326340437,
            0.325367719,
            0.324394971,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323179066,
            0.322449505,
            0.321719974,
            0.320990413,
            0.320260882,
            0.319531322,
            0.318801761,
            0.31807223,
            0.317342669,
            0.316613108,
            0.315883577,
            0.315154016,
            0.314424485,
            0.313694924,
            0.312965363,
            0.312235832,
            0.311506271,
            0.310776711,
            0.310047179,
            0.309317619,
            0.308588088,
            0.307858527,
            0.307128966,
            0.306399435,
            0.305669874,
            0.304940343,
            0.304210782,
            0.303481221,
            0.30275169,
            0.302022129,
            0.301292568,
            0.300563037,
            0.299833477,
            0.299103945,
            0.298374385,
            0.297644824,
            0.296915293,
            0.296185732,
            0.295456171,
            0.29472664,
            0.293997079,
            0.293267548,
            0.292537987,
            0.291808426,
            0.291078895,
            0.290349334,
            0.289619774,
            0.288890243,
            0.288160682,
            0.287431151,
            0.28670159,
            0.285972059,
            0.285242498,
            0.284512967,
            0.283783406,
            0.283053875,
            0.282324314,
            0.281594783,
            0.280865222,
            0.280135691,
            0.27940613,
            0.278676599,
            0.277947038,
            0.277217507,
            0.276487947,
            0.274808645,
            0.273106366,
            0.271404058,
            0.269701779,
            0.26799947,
            0.266297191,
            0.264594913,
            0.262892604,
            0.261190325,
            0.259488046,
            0.257785738,
            0.256083459,
            0.25438118,
            0.252678871,
            0.250976592,
            0.249274299,
            0.247778818,
            0.246319711,
            0.244860619,
            0.243401513,
            0.241942421,
            0.240483314,
            0.239024222,
            0.237565115,
            0.236106023,
            0.234646916,
            0.233187824,
            0.231728718,
            0.230269626,
            0.228810519,
            0.227351427,
            0.22589232,
            0.224433228,
            0.222974136,
            0.221515045,
            0.220055938,
            0.218596846,
            0.217137754,
            0.215678662,
            0.214219555,
            0.212760463,
            0.211301371,
            0.20984228,
            0.208383173,
            0.206924081,
            0.205464989,
            0.204005897,
            0.202546805,
            0.200942174,
            0.19923988,
            0.197537601,
            0.195835307,
            0.194133028,
            0.192430735,
            0.190728456,
            0.189026162,
            0.187323883,
            0.185621589,
            0.183919311,
            0.182217032,
            0.180514738,
            0.178812444,
            0.177110165,
            0.175407887,
            0.174165159,
            0.173435614,
            0.172706068,
            0.171976522,
            0.171246976,
            0.17051743,
            0.169787884,
            0.169058338,
            0.168328792,
            0.167599246,
            0.1668697,
            0.166140154,
            0.165410608,
            0.164681062,
            0.163951516,
            0.16322197,
            0.162239656,
            0.160780564,
            0.159321457,
            0.15786235,
            0.156403244,
            0.154944152,
            0.153485045,
            0.152025938,
            0.150566846,
            0.149107739,
            0.147648633,
            0.146189526,
            0.144730419,
            0.143271327,
            0.14181222,
            0.140353113,
            0.13900125,
            0.138028517,
            0.137055784,
            0.136083052,
            0.135110319,
            0.134137586,
            0.133164853,
            0.13219212,
            0.131219387,
            0.130246654,
            0.129273921,
            0.128301188,
            0.127328455,
            0.126355723,
            0.12538299,
            0.124410257,
            0.123391569,
            0.121932469,
            0.12047337,
            0.119014271,
            0.117555171,
            0.116096072,
            0.114636973,
            0.113177873,
            0.111718774,
            0.110259674,
            0.108800575,
            0.107341476,
            0.105882376,
            0.104423277,
            0.102964178,
            0.101505078,
            0.100045979,
            0.0985868797,
            0.0971277803,
            0.095668681,
            0.0942095816,
            0.0927504823,
            0.0912913829,
            0.0898322836,
            0.0883731842,
            0.0869140849,
            0.0854549855,
            0.0839958861,
            0.0825367868,
            0.0810776949,
            0.0796185881,
            0.0781594962,
            0.0767003894,
            0.0756510645,
            0.0746783316,
            0.0737055987,
            0.0727328658,
            0.0717601329,
            0.0707874,
            0.0698146671,
            0.0688419342,
            0.0678692013,
            0.0668964684,
            0.0659237355,
            0.0649510026,
            0.0639782697,
            0.0630055368,
            0.0620328076,
            0.0610600747,
            0.0597388446,
            0.0582797453,
            0.0568206459,
            0.0553615466,
            0.0539024472,
            0.0524433479,
            0.0509842485,
            0.0495251492,
            0.0480660498,
            0.0466069505,
            0.0451478511,
            0.0436887518,
            0.0422296524,
            0.0407705531,
            0.0393114537,
            0.0378523543,
            0.0368240923,
            0.0360945426,
            0.0353649929,
            0.0346354432,
            0.0339058936,
            0.0331763439,
            0.0324467942,
            0.0317172445,
            0.0309876967,
            0.030258147,
            0.0295285974,
            0.0287990477,
            0.028069498,
            0.0273399483,
            0.0266103987,
            0.025880849,
            0.0251512993,
            0.0244217496,
            0.0236922,
            0.0229626503,
            0.0222331006,
            0.0215035528,
            0.0207740031,
            0.0200444534,
            0.0193149038,
            0.0185853541,
            0.0178558044,
            0.0171262547,
            0.0163967051,
            0.0156671554,
            0.0149376057,
            0.014208056,
            0.0134785064,
            0.0127489567,
            0.012019407,
            0.0112898573,
            0.0105603077,
            0.00983075798,
            0.0091012083,
            0.00837165862,
            0.00764210941,
            0.0069125602,
            0.00618301053,
            0.00545346085,
            0.00472391117,
            0.0039943615,
            0.00326481182,
            0.00253526215,
            0.00175401254,
            0.000781279756,
            -0.000191452913,
            -0.00116418581,
            -0.00213691872,
            -0.00310965162,
            -0.00408238405,
            -0.00505511696,
            -0.00602784939,
            -0.00700058229,
            -0.00797331519,
            -0.0089460481,
            -0.009918781,
            -0.0108915139,
            -0.0118642468,
            -0.0128369797,
            -0.0138518382,
            -0.0153109375,
            -0.0167700369,
            -0.0182291362,
            -0.0196882356,
            -0.0211473331,
            -0.0226064324,
            -0.0240655318,
            -0.0255246311,
            -0.0269837305,
            -0.0284428298,
            -0.0299019292,
            -0.0313610286,
            -0.0328201279,
            -0.0342792273,
            -0.0357383266,
            -0.037197426,
            -0.0379556976,
            -0.0386852473,
            -0.039414797,
            -0.0401443467,
            -0.0408738963,
            -0.041603446,
            -0.0423329957,
            -0.0430625454,
            -0.043792095,
            -0.0445216447,
            -0.0452511907,
            -0.0459807441,
            -0.04671029,
            -0.0474398434,
            -0.0481693894,
            -0.0488989428,
            -0.0504403785,
            -0.0521426611,
            -0.0538449436,
            -0.0555472262,
            -0.0572495088,
            -0.0589517877,
            -0.060654074,
            -0.0623563528,
            -0.0640586391,
            -0.065760918,
            -0.0674632043,
            -0.0691654831,
            -0.070867762,
            -0.0725700483,
            -0.0742723346,
            -0.0759746134,
            -0.0769875571,
            -0.0777171105,
            -0.0784466565,
            -0.0791762099,
            -0.0799057558,
            -0.0806353092,
            -0.0813648552,
            -0.0820944011,
            -0.0828239545,
            -0.0835535005,
            -0.0842830539,
            -0.0850125998,
            -0.0857421532,
            -0.0864716992,
            -0.0872012526,
            -0.0879307985,
            -0.0890854448,
            -0.0905445367,
            -0.0920036361,
            -0.0934627354,
            -0.0949218273,
            -0.0963809267,
            -0.097840026,
            -0.0992991254,
            -0.100758217,
            -0.102217317,
            -0.103676416,
            -0.105135515,
            -0.106594607,
            -0.108053707,
            -0.109512806,
            -0.110971898,
            -0.112097822,
            -0.112827376,
            -0.113556921,
            -0.114286475,
            -0.115016028,
            -0.115745574,
            -0.116475128,
            -0.117204681,
            -0.117934234,
            -0.11866378,
            -0.119393334,
            -0.120122887,
            -0.120852441,
            -0.121581987,
            -0.12231154,
            -0.123041093,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123529375,
            -0.123605967,
            -0.124578699,
            -0.125551432,
            -0.126524165,
            -0.127496913,
            -0.128469646,
            -0.129442379,
            -0.130415112,
            -0.131387845,
            -0.132360578,
            -0.13333331,
            -0.134306043,
            -0.135278791,
            -0.136251524,
            -0.137224257,
            -0.13819699,
            -0.139169723,
            -0.139910758,
            -0.140640303,
            -0.141369864,
            -0.14209941,
            -0.142828956,
            -0.143558502,
            -0.144288063,
            -0.145017609,
            -0.145747155,
            -0.146476701,
            -0.147206262,
            -0.147935808,
            -0.148665354,
            -0.1493949,
            -0.15012446,
            -0.150854006,
            -0.151583552,
            -0.152313098,
            -0.153042659,
            -0.153772205,
            -0.154501751,
            -0.155231297,
            -0.155960858,
            -0.156690404,
            -0.15741995,
            -0.158149496,
            -0.158879057,
            -0.159608603,
            -0.160338148,
            -0.161067694,
            -0.161797255,
            -0.162526801,
            -0.163256347,
            -0.163985893,
            -0.164715454,
            -0.165445,
            -0.166174546,
            -0.166904092,
            -0.167633653,
            -0.168363199,
            -0.169092745,
            -0.169822291,
            -0.170551836,
            -0.171281397,
            -0.172010943,
            -0.172740489,
            -0.173470035,
            -0.174199596,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174653411,
            -0.175382957,
            -0.176112503,
            -0.176842049,
            -0.17757161,
            -0.178301156,
            -0.179030702,
            -0.179760247,
            -0.180489808,
            -0.181219354,
            -0.1819489,
            -0.182678446,
            -0.183408007,
            -0.184137553,
            -0.184867099,
            -0.185596645,
            -0.186326206,
            -0.187055752,
            -0.187785298,
            -0.188514844,
            -0.189244404,
            -0.18997395,
            -0.190703496,
            -0.191433042,
            -0.192162603,
            -0.192892149,
            -0.193621695,
            -0.194351241,
            -0.195080787,
            -0.195810348,
            -0.196539894,
            -0.19726944,
            -0.197998986,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197533682,
            -0.196804136,
            -0.19607459,
            -0.195345044,
            -0.194615483,
            -0.193885937,
            -0.193156391,
            -0.192426845,
            -0.191697299,
            -0.190967739,
            -0.190238193,
            -0.189508647,
            -0.188779101,
            -0.18804954,
            -0.187319994,
            -0.186590448,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186504275,
            -0.187233821,
            -0.187963381,
            -0.188692927,
            -0.189422473,
            -0.190152019,
            -0.19088158,
            -0.191611126,
            -0.192340672,
            -0.193070218,
            -0.193799779,
            -0.194529325,
            -0.195258871,
            -0.195988417,
            -0.196717978,
            -0.197447523,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197447523,
            -0.196717978,
            -0.195988417,
            -0.195258871,
            -0.194529325,
            -0.193799779,
            -0.193070218,
            -0.192340672,
            -0.191611126,
            -0.19088158,
            -0.190152019,
            -0.189422473,
            -0.188692927,
            -0.187963381,
            -0.187233835,
            -0.186504275,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186682358,
            -0.187411904,
            -0.18814145,
            -0.188871011,
            -0.189600557,
            -0.190330103,
            -0.191059649,
            -0.19178921,
            -0.192518756,
            -0.193248302,
            -0.193977848,
            -0.194707409,
            -0.195436954,
            -0.1961665,
            -0.196896046,
            -0.197625607,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.19736135,
            -0.196631804,
            -0.195902258,
            -0.195172712,
            -0.194443151,
            -0.193713605,
            -0.192984059,
            -0.192254514,
            -0.191524953,
            -0.190795407,
            -0.190065861,
            -0.189336315,
            -0.188606754,
            -0.187877208,
            -0.187147662,
            -0.186418116,
            -0.185688555,
            -0.184959009,
            -0.184229463,
            -0.183499917,
            -0.182770357,
            -0.182040811,
            -0.181311265,
            -0.180581719,
            -0.179852158,
            -0.179122612,
            -0.178393066,
            -0.17766352,
            -0.176933974,
            -0.176204413,
            -0.175474867,
            -0.174745321,
            -0.175003827,
            -0.175733373,
            -0.176462919,
            -0.177192464,
            -0.17792201,
            -0.178651571,
            -0.179381117,
            -0.180110663,
            -0.180840209,
            -0.18156977,
            -0.182299316,
            -0.183028862,
            -0.183758408,
            -0.184487969,
            -0.185217515,
            -0.185947061,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186584696,
            -0.187314257,
            -0.188043803,
            -0.188773349,
            -0.189502895,
            -0.190232456,
            -0.190962002,
            -0.191691548,
            -0.192421094,
            -0.19315064,
            -0.1938802,
            -0.194609746,
            -0.195339292,
            -0.196068853,
            -0.196798399,
            -0.197527945,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198004737,
            -0.197275192,
            -0.196545631,
            -0.195816085,
            -0.195086539,
            -0.194356993,
            -0.193627447,
            -0.192897886,
            -0.19216834,
            -0.191438794,
            -0.190709248,
            -0.189979687,
            -0.189250141,
            -0.188520595,
            -0.187791049,
            -0.187061489,
            -0.186331943,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.185694307,
            -0.184964761,
            -0.1842352,
            -0.183505654,
            -0.182776108,
            -0.182046562,
            -0.181317002,
            -0.180587456,
            -0.17985791,
            -0.179128364,
            -0.178398803,
            -0.177669257,
            -0.176939711,
            -0.176210165,
            -0.175480604,
            -0.174751058,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174113423,
            -0.173383877,
            -0.172654331,
            -0.17192477,
            -0.171195224,
            -0.170465678,
            -0.169736132,
            -0.169006571,
            -0.168277025,
            -0.167547479,
            -0.166817933,
            -0.166088372,
            -0.165358827,
            -0.164629281,
            -0.163899735,
            -0.163170174,
            -0.162440628,
            -0.161711082,
            -0.160981536,
            -0.160251975,
            -0.159522429,
            -0.158792883,
            -0.158063337,
            -0.157333776,
            -0.15660423,
            -0.155874684,
            -0.155145139,
            -0.154415578,
            -0.153686032,
            -0.152956486,
            -0.15222694,
            -0.151497394,
            -0.150767833,
            -0.150038287,
            -0.149308741,
            -0.148579195,
            -0.147849634,
            -0.147120088,
            -0.146390542,
            -0.145660996,
            -0.144931436,
            -0.14420189,
            -0.143472344,
            -0.142742798,
            -0.142013237,
            -0.141283691,
            -0.140554145,
            -0.139824599,
            -0.139054835,
            -0.138082102,
            -0.137109369,
            -0.136136621,
            -0.135163888,
            -0.134191155,
            -0.133218423,
            -0.13224569,
            -0.131272957,
            -0.130300224,
            -0.129327491,
            -0.128354758,
            -0.12738201,
            -0.126409277,
            -0.125436544,
            -0.124463812,
            -0.123471931,
            -0.122012831,
            -0.120553732,
            -0.119094633,
            -0.117635533,
            -0.116176434,
            -0.114717335,
            -0.113258235,
            -0.111799136,
            -0.110340036,
            -0.108880937,
            -0.107421838,
            -0.105962738,
            -0.104503639,
            -0.10304454,
            -0.10158544,
            -0.100126341,
            -0.0993336067,
            -0.0986040533,
            -0.0978745073,
            -0.0971449539,
            -0.096415408,
            -0.0956858546,
            -0.0949563086,
            -0.0942267552,
            -0.0934972093,
            -0.0927676558,
            -0.0920381099,
            -0.0913085565,
            -0.0905790105,
            -0.0898494571,
            -0.0891199112,
            -0.0883903578,
            -0.0876608118,
            -0.0869312584,
            -0.0862017125,
            -0.0854721591,
            -0.0847426131,
            -0.0840130597,
            -0.0832835138,
            -0.0825539604,
            -0.0818244144,
            -0.081094861,
            -0.0803653151,
            -0.0796357691,
            -0.0789062157,
            -0.0781766623,
            -0.0774471164,
            -0.0767175704,
            -0.075344637,
            -0.0736423507,
            -0.0719400719,
            -0.0702377856,
            -0.0685355067,
            -0.0668332204,
            -0.0651309416,
            -0.0634286553,
            -0.0617263764,
            -0.0600240938,
            -0.0583218113,
            -0.0566195287,
            -0.0549172461,
            -0.0532149635,
            -0.0515126809,
            -0.0498103984,
            -0.0478476994,
            -0.0456590503,
            -0.0434704013,
            -0.0412817523,
            -0.039093107,
            -0.0369044542,
            -0.0347158089,
            -0.0325271562,
            -0.0303385109,
            -0.0281498618,
            -0.0259612128,
            -0.0237725638,
            -0.0215839148,
            -0.0193952657,
            -0.0172066167,
            -0.0150179677,
            -0.0124310357,
            -0.00926965475,
            -0.00610827236,
            -0.00294689089,
            0.00021449104,
            0.00337587297,
            0.00653725304,
            0.00969863497,
            0.0128600169,
            0.0160213988,
            0.0191827789,
            0.0223441608,
            0.0255055428,
            0.0286669247,
            0.0318283066,
            0.0349896885,
            0.0379442684,
            0.0403761007,
            0.0428079329,
            0.0452397615,
            0.0476715937,
            0.050103426,
            0.0525352582,
            0.0549670905,
            0.0573989227,
            0.059830755,
            0.0622625872,
            0.0646944195,
            0.0671262518,
            0.069558084,
            0.0719899163,
            0.0744217485,
            0.0767003894,
            0.0781594887,
            0.0796185881,
            0.0810776874,
            0.0825367868,
            0.0839958861,
            0.0854549855,
            0.0869140849,
            0.0883731842,
            0.0898322836,
            0.0912913829,
            0.0927504823,
            0.0942095816,
            0.095668681,
            0.0971277803,
            0.0985868797,
            0.100045979,
            0.101505078,
            0.102964178,
            0.104423277,
            0.105882376,
            0.107341476,
            0.108800575,
            0.110259674,
            0.111718774,
            0.113177873,
            0.114636973,
            0.116096072,
            0.117555171,
            0.119014271,
            0.12047337,
            0.121932469,
            0.123391569,
            0.12507087,
            0.126773149,
            0.128475443,
            0.130177721,
            0.13188,
            0.133582279,
            0.135284573,
            0.136986852,
            0.138689131,
            0.140391409,
            0.142093688,
            0.143795982,
            0.145498261,
            0.14720054,
            0.148902819,
            0.150605112,
            0.151549116,
            0.152278677,
            0.153008223,
            0.153737783,
            0.154467329,
            0.15519689,
            0.155926436,
            0.156655997,
            0.157385543,
            0.158115104,
            0.15884465,
            0.159574211,
            0.160303757,
            0.161033317,
            0.161762863,
            0.162492424,
            0.16322197,
            0.163951516,
            0.164681062,
            0.165410608,
            0.166140154,
            0.1668697,
            0.167599246,
            0.168328792,
            0.169058338,
            0.169787884,
            0.17051743,
            0.171246976,
            0.171976522,
            0.172706068,
            0.173435614,
            0.174165159,
            0.175407887,
            0.177110165,
            0.178812444,
            0.180514738,
            0.182217032,
            0.183919311,
            0.185621589,
            0.187323883,
            0.189026162,
            0.190728456,
            0.192430735,
            0.194133028,
            0.195835307,
            0.197537601,
            0.19923988,
            0.200942174,
            0.202253833,
            0.202983379,
            0.203712925,
            0.204442471,
            0.205172017,
            0.205901563,
            0.206631109,
            0.207360655,
            0.208090201,
            0.208819747,
            0.209549293,
            0.210278839,
            0.211008385,
            0.211737931,
            0.212467477,
            0.213197023,
            0.214127615,
            0.215586722,
            0.217045814,
            0.218504921,
            0.219964013,
            0.221423119,
            0.222882211,
            0.224341318,
            0.22580041,
            0.227259517,
            0.228718609,
            0.230177715,
            0.231636807,
            0.233095914,
            0.234555006,
            0.236014113,
            0.237364069,
            0.238093615,
            0.238823161,
            0.239552706,
            0.240282267,
            0.241011813,
            0.241741359,
            0.242470905,
            0.243200466,
            0.243930012,
            0.244659558,
            0.245389104,
            0.246118665,
            0.246848211,
            0.247577757,
            0.248307303,
            0.249036863,
            0.249766409,
            0.25049597,
            0.251225531,
            0.251955062,
            0.252684623,
            0.253414184,
            0.254143715,
            0.254873276,
            0.255602837,
            0.256332397,
            0.257061929,
            0.257791489,
            0.25852105,
            0.259250611,
            0.259980142,
            0.260709703,
            0.261657566,
            0.262630284,
            0.263603032,
            0.26457575,
            0.265548497,
            0.266521245,
            0.267493963,
            0.268466711,
            0.269439459,
            0.270412177,
            0.271384925,
            0.272357643,
            0.27333039,
            0.274303138,
            0.275275856,
            0.276248604,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276470721,
            0.276941776,
            0.277671307,
            0.278400868,
            0.279130399,
            0.27985996,
            0.280589491,
            0.281319052,
            0.282048583,
            0.282778144,
            0.283507675,
            0.284237236,
            0.284966767,
            0.285696328,
            0.286425859,
            0.28715542,
            0.287884951,
            0.288614511,
            0.289344043,
            0.290073603,
            0.290803164,
            0.291532695,
            0.292262256,
            0.292991787,
            0.293721348,
            0.294450909,
            0.29518044,
            0.295910001,
            0.296639562,
            0.297369093,
            0.298098654,
            0.298828185,
            0.299557745,
            0.300287306,
            0.301016837,
            0.301746398,
            0.302475959,
            0.30320549,
            0.303935051,
            0.304664582,
            0.305394143,
            0.306123704,
            0.306853235,
            0.307582796,
            0.308312356,
            0.309041888,
            0.309771448,
            0.310500979,
            0.31123054,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311764777,
            0.311868191,
            0.312597722,
            0.313327283,
            0.314056814,
            0.314786375,
            0.315515935,
            0.316245466,
            0.316975027,
            0.317704588,
            0.318434119,
            0.31916368,
            0.319893211,
            0.320622772,
            0.321352333,
            0.322081864,
            0.322811425,
            0.323556304,
            0.325258583,
            0.326960862,
            0.328663141,
            0.330365419,
            0.332067698,
            0.333769977,
            0.335472256,
            0.337174535,
            0.338876843,
            0.340579122,
            0.342281401,
            0.34398368,
            0.345685959,
            0.347388238,
            0.349090517,
            0.350792795,
            0.352278709,
            0.353737801,
            0.355196923,
            0.356656015,
            0.358115107,
            0.359574199,
            0.36103332,
            0.362492412,
            0.363951504,
            0.365410596,
            0.366869718,
            0.36832881,
            0.369787902,
            0.371246994,
            0.372706115,
            0.374165207,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374883264,
            0.375612825,
            0.376342356,
            0.377071917,
            0.377801448,
            0.378531009,
            0.37926057,
            0.379990101,
            0.380719662,
            0.381449223,
            0.382178754,
            0.382908314,
            0.383637846,
            0.384367406,
            0.385096967,
            0.385826498,
            0.386649877,
            0.387622625,
            0.388595343,
            0.38956809,
            0.390540808,
            0.391513556,
            0.392486274,
            0.393459022,
            0.39443174,
            0.395404488,
            0.396377206,
            0.397349954,
            0.398322672,
            0.399295419,
            0.400268137,
            0.401240885,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.401966602,
            0.402696133,
            0.403425694,
            0.404155225,
            0.404884785,
            0.405614316,
            0.406343877,
            0.407073408,
            0.407802969,
            0.4085325,
            0.409262061,
            0.409991592,
            0.410721153,
            0.411450684,
            0.412180245,
            0.412909776,
            0.413639337,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413725495,
            0.413174033,
            0.412444472,
            0.411714941,
            0.41098538,
            0.410255849,
            0.409526289,
            0.408796757,
            0.408067197,
            0.407337666,
            0.406608105,
            0.405878574,
            0.405149013,
            0.404419482,
            0.403689921,
            0.40296039,
            0.402230829,
            0.401348114,
            0.400375366,
            0.399402648,
            0.3984299,
            0.397457182,
            0.396484435,
            0.395511717,
            0.394538969,
            0.393566251,
            0.392593503,
            0.391620785,
            0.390648037,
            0.389675319,
            0.388702571,
            0.387729853,
            0.386757106,
            0.385906935,
            0.385177374,
            0.384447843,
            0.383718282,
            0.382988721,
            0.38225919,
            0.381529629,
            0.380800068,
            0.380070537,
            0.379340976,
            0.378611445,
            0.377881885,
            0.377152324,
            0.376422793,
            0.375693232,
            0.374963671,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.37432605,
            0.373596489,
            0.372866958,
            0.372137398,
            0.371407837,
            0.370678306,
            0.369948745,
            0.369219214,
            0.368489653,
            0.367760092,
            0.367030561,
            0.366301,
            0.365571439,
            0.364841908,
            0.364112347,
            0.363382816,
            0.362653255,
            0.361923695,
            0.361194164,
            0.360464603,
            0.359735042,
            0.359005511,
            0.35827595,
            0.357546419,
            0.356816858,
            0.356087297,
            0.355357766,
            0.354628205,
            0.353898644,
            0.353169113,
            0.352439553,
            0.351710021
          ],
          [
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.351612359,
            0.35234189,
            0.353071451,
            0.353801012,
            0.354530543,
            0.355260104,
            0.355989665,
            0.356719196,
            0.357448757,
            0.358178288,
            0.358907849,
            0.359637409,
            0.36036694,
            0.361096501,
            0.361826062,
            0.362555593,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362388998,
            0.361659467,
            0.360929906,
            0.360200346,
            0.359470814,
            0.358741254,
            0.358011723,
            0.357282162,
            0.356552601,
            0.35582307,
            0.355093509,
            0.354363948,
            0.353634417,
            0.352904856,
            0.352175325,
            0.351445764,
            0.350716203,
            0.349986672,
            0.349257112,
            0.348527551,
            0.34779802,
            0.347068459,
            0.346338928,
            0.345609367,
            0.344879806,
            0.344150275,
            0.343420714,
            0.342691183,
            0.341961622,
            0.341232061,
            0.34050253,
            0.339772969,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.338748544,
            0.337775797,
            0.336803079,
            0.335830331,
            0.334857613,
            0.333884865,
            0.332912147,
            0.331939399,
            0.330966681,
            0.329993933,
            0.329021215,
            0.328048468,
            0.32707575,
            0.326103002,
            0.325130284,
            0.324157536,
            0.323270977,
            0.322541416,
            0.321811885,
            0.321082324,
            0.320352793,
            0.319623232,
            0.318893671,
            0.31816414,
            0.317434579,
            0.316705048,
            0.315975487,
            0.315245926,
            0.314516395,
            0.313786834,
            0.313057274,
            0.312327743,
            0.311598182,
            0.310868651,
            0.31013909,
            0.309409529,
            0.308679998,
            0.307950437,
            0.307220876,
            0.306491345,
            0.305761784,
            0.305032253,
            0.304302692,
            0.303573132,
            0.302843601,
            0.30211404,
            0.301384479,
            0.300654948,
            0.299925387,
            0.299195856,
            0.298466295,
            0.297736734,
            0.297007203,
            0.296277642,
            0.295548081,
            0.29481855,
            0.294088989,
            0.293359458,
            0.292629898,
            0.291900337,
            0.291170806,
            0.290441245,
            0.289711714,
            0.288982153,
            0.288252592,
            0.286573291,
            0.284871012,
            0.283168733,
            0.281466454,
            0.279764175,
            0.278061897,
            0.276359588,
            0.274657309,
            0.27295503,
            0.271252751,
            0.269550472,
            0.267848194,
            0.266145915,
            0.264443636,
            0.262741327,
            0.261039048,
            0.259543568,
            0.258084476,
            0.256625384,
            0.255166262,
            0.25370717,
            0.252248049,
            0.250788957,
            0.24932985,
            0.247870758,
            0.246411651,
            0.244952545,
            0.243493438,
            0.242034346,
            0.240575239,
            0.239116132,
            0.23765704,
            0.236197934,
            0.234738827,
            0.233279735,
            0.231820628,
            0.230361536,
            0.228902429,
            0.227443337,
            0.225984246,
            0.224525139,
            0.223066032,
            0.22160694,
            0.220147848,
            0.218688741,
            0.217229649,
            0.215770543,
            0.214311451,
            0.212706819,
            0.21100454,
            0.209302247,
            0.207599968,
            0.205897689,
            0.20419541,
            0.202493131,
            0.200790837,
            0.199088559,
            0.19738628,
            0.195684001,
            0.193981707,
            0.192279428,
            0.190577149,
            0.188874871,
            0.187172577,
            0.185929865,
            0.185200304,
            0.184470758,
            0.183741212,
            0.183011666,
            0.182282105,
            0.181552559,
            0.180823013,
            0.180093467,
            0.179363906,
            0.17863436,
            0.177904814,
            0.177175269,
            0.176445723,
            0.175716162,
            0.174986616,
            0.17425707,
            0.173527524,
            0.172797978,
            0.172068432,
            0.171338886,
            0.17060934,
            0.169879794,
            0.169150248,
            0.168420702,
            0.167691156,
            0.16696161,
            0.166232064,
            0.165502518,
            0.164772972,
            0.164043427,
            0.163313881,
            0.162423491,
            0.160964385,
            0.159505278,
            0.158046171,
            0.156587079,
            0.155127972,
            0.153668866,
            0.152209759,
            0.150750667,
            0.14929156,
            0.147832453,
            0.146373361,
            0.144914255,
            0.143455148,
            0.141996041,
            0.140536949,
            0.139054865,
            0.137352586,
            0.135650292,
            0.133948013,
            0.132245734,
            0.130543455,
            0.128841162,
            0.127138883,
            0.125436604,
            0.123734318,
            0.122032039,
            0.120329753,
            0.118627474,
            0.116925195,
            0.115222909,
            0.113520622,
            0.111818343,
            0.109645016,
            0.107456364,
            0.105267718,
            0.103079066,
            0.10089042,
            0.0987017676,
            0.0965131223,
            0.0943244696,
            0.0921358243,
            0.089947179,
            0.0877585262,
            0.0855698735,
            0.0833812281,
            0.0811925828,
            0.0790039301,
            0.0768152773,
            0.0750364065,
            0.0733341277,
            0.0716318414,
            0.0699295625,
            0.0682272762,
            0.0665249974,
            0.0648227111,
            0.0631204322,
            0.0614181459,
            0.059715867,
            0.0580135807,
            0.0563113019,
            0.0546090193,
            0.0529067367,
            0.0512044542,
            0.0495021716,
            0.0479741395,
            0.0465150401,
            0.0450559407,
            0.0435968414,
            0.042137742,
            0.0406786427,
            0.0392195433,
            0.037760444,
            0.0363013446,
            0.0348422453,
            0.0333831459,
            0.0319240466,
            0.0304649491,
            0.0290058497,
            0.0275467504,
            0.026087651,
            0.0250593871,
            0.0243298374,
            0.0236002896,
            0.0228707399,
            0.0221411902,
            0.0214116406,
            0.0206820909,
            0.0199525412,
            0.0192229915,
            0.0184934419,
            0.0177638922,
            0.0170343425,
            0.0163047928,
            0.0155752432,
            0.0148456935,
            0.0141161438,
            0.0133865941,
            0.0126570445,
            0.0119274957,
            0.011197946,
            0.0104683964,
            0.00973884668,
            0.00900929701,
            0.00827974733,
            0.00755019765,
            0.00682064844,
            0.00609109877,
            0.00536154956,
            0.00463199988,
            0.0039024502,
            0.00317290053,
            0.00244335085,
            0.00163146353,
            0.000658730743,
            -0.000314001925,
            -0.00128673483,
            -0.00225946773,
            -0.00323220063,
            -0.00420493307,
            -0.00517766597,
            -0.0061503984,
            -0.0071231313,
            -0.00809586421,
            -0.00906859711,
            -0.01004133,
            -0.0110140629,
            -0.0119867958,
            -0.0129595287,
            -0.0138805611,
            -0.0146101099,
            -0.0153396595,
            -0.0160692092,
            -0.0167987589,
            -0.0175283086,
            -0.0182578582,
            -0.0189874079,
            -0.0197169576,
            -0.0204465073,
            -0.0211760569,
            -0.0219056066,
            -0.0226351544,
            -0.0233647041,
            -0.0240942538,
            -0.0248238035,
            -0.025553355,
            -0.0262829028,
            -0.0270124525,
            -0.0277420022,
            -0.0284715518,
            -0.0292011015,
            -0.0299306512,
            -0.0306602009,
            -0.0313897505,
            -0.0321193002,
            -0.0328488499,
            -0.0335783996,
            -0.0343079492,
            -0.0350374989,
            -0.0357670486,
            -0.0364965983,
            -0.0372261479,
            -0.0379556976,
            -0.0386852473,
            -0.039414797,
            -0.0401443467,
            -0.0408738963,
            -0.041603446,
            -0.0423329957,
            -0.0430625454,
            -0.043792095,
            -0.0445216447,
            -0.0452511907,
            -0.0459807441,
            -0.04671029,
            -0.0474398434,
            -0.0481693894,
            -0.0488989428,
            -0.0496284887,
            -0.0503580384,
            -0.0510875881,
            -0.0518171377,
            -0.0525466874,
            -0.0532762371,
            -0.0540057868,
            -0.0547353365,
            -0.0554648861,
            -0.0561944358,
            -0.0569239855,
            -0.0576535352,
            -0.0583830848,
            -0.0591126345,
            -0.0598421842,
            -0.0605717339,
            -0.0614736192,
            -0.0624463521,
            -0.0634190813,
            -0.0643918142,
            -0.0653645471,
            -0.06633728,
            -0.0673100129,
            -0.0682827458,
            -0.0692554787,
            -0.0702282116,
            -0.0712009445,
            -0.0721736774,
            -0.0731464103,
            -0.0741191432,
            -0.0750918761,
            -0.076064609,
            -0.0773207396,
            -0.078779839,
            -0.0802389383,
            -0.0816980377,
            -0.083157137,
            -0.0846162364,
            -0.0860753357,
            -0.0875344351,
            -0.0889935344,
            -0.0904526263,
            -0.0919117332,
            -0.0933708251,
            -0.0948299319,
            -0.0962890238,
            -0.0977481306,
            -0.0992072225,
            -0.100333147,
            -0.101062693,
            -0.101792239,
            -0.102521785,
            -0.103251338,
            -0.103980884,
            -0.10471043,
            -0.105439976,
            -0.106169522,
            -0.106899075,
            -0.107628621,
            -0.108358167,
            -0.109087721,
            -0.109817266,
            -0.110546812,
            -0.111276358,
            -0.112005912,
            -0.112735458,
            -0.113465011,
            -0.114194565,
            -0.114924118,
            -0.115653664,
            -0.116383217,
            -0.117112771,
            -0.117842317,
            -0.11857187,
            -0.119301423,
            -0.120030977,
            -0.120760523,
            -0.121490076,
            -0.12221963,
            -0.122949183,
            -0.123728514,
            -0.124701254,
            -0.12567398,
            -0.126646727,
            -0.12761946,
            -0.128592193,
            -0.129564926,
            -0.130537659,
            -0.131510392,
            -0.132483125,
            -0.133455858,
            -0.134428591,
            -0.135401338,
            -0.136374071,
            -0.137346804,
            -0.138319537,
            -0.139273122,
            -0.140002668,
            -0.140732229,
            -0.141461775,
            -0.142191321,
            -0.142920867,
            -0.143650427,
            -0.144379973,
            -0.145109519,
            -0.145839065,
            -0.146568626,
            -0.147298172,
            -0.148027718,
            -0.148757264,
            -0.14948681,
            -0.150216371,
            -0.150945917,
            -0.151675463,
            -0.152405009,
            -0.15313457,
            -0.153864115,
            -0.154593661,
            -0.155323207,
            -0.156052768,
            -0.156782314,
            -0.15751186,
            -0.158241406,
            -0.158970967,
            -0.159700513,
            -0.160430059,
            -0.161159605,
            -0.161889166,
            -0.162618712,
            -0.163348258,
            -0.164077803,
            -0.164807364,
            -0.16553691,
            -0.166266456,
            -0.166996002,
            -0.167725563,
            -0.168455109,
            -0.169184655,
            -0.169914201,
            -0.170643762,
            -0.171373308,
            -0.172102854,
            -0.1728324,
            -0.17356196,
            -0.174291506,
            -0.175021052,
            -0.175750598,
            -0.176480159,
            -0.177209705,
            -0.177939251,
            -0.178668797,
            -0.179398358,
            -0.180127904,
            -0.18085745,
            -0.181586996,
            -0.182316542,
            -0.183046103,
            -0.183775648,
            -0.184505194,
            -0.18523474,
            -0.185964301,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.185947061,
            -0.185217515,
            -0.184487969,
            -0.183758408,
            -0.183028862,
            -0.182299316,
            -0.18156977,
            -0.180840209,
            -0.180110663,
            -0.179381117,
            -0.178651571,
            -0.17792201,
            -0.177192464,
            -0.176462919,
            -0.175733373,
            -0.175003827,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174653411,
            -0.175382957,
            -0.176112503,
            -0.176842049,
            -0.17757161,
            -0.178301156,
            -0.179030702,
            -0.179760247,
            -0.180489808,
            -0.181219354,
            -0.1819489,
            -0.182678446,
            -0.183408007,
            -0.184137553,
            -0.184867099,
            -0.185596645,
            -0.186326206,
            -0.187055752,
            -0.187785298,
            -0.188514844,
            -0.189244404,
            -0.18997395,
            -0.190703496,
            -0.191433042,
            -0.192162603,
            -0.192892149,
            -0.193621695,
            -0.194351241,
            -0.195080787,
            -0.195810348,
            -0.196539894,
            -0.19726944,
            -0.197998986,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197533682,
            -0.196804136,
            -0.19607459,
            -0.195345044,
            -0.194615483,
            -0.193885937,
            -0.193156391,
            -0.192426845,
            -0.191697299,
            -0.190967739,
            -0.190238193,
            -0.189508647,
            -0.188779101,
            -0.18804954,
            -0.187319994,
            -0.186590448,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.185590908,
            -0.184861362,
            -0.184131801,
            -0.183402255,
            -0.182672709,
            -0.181943163,
            -0.181213602,
            -0.180484056,
            -0.179754511,
            -0.179024965,
            -0.178295404,
            -0.177565858,
            -0.176836312,
            -0.176106766,
            -0.175377205,
            -0.174647659,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174733832,
            -0.175463378,
            -0.176192924,
            -0.17692247,
            -0.177652031,
            -0.178381577,
            -0.179111123,
            -0.179840669,
            -0.18057023,
            -0.181299776,
            -0.182029322,
            -0.182758868,
            -0.183488429,
            -0.184217975,
            -0.18494752,
            -0.185677066,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186768532,
            -0.187498078,
            -0.188227624,
            -0.18895717,
            -0.189686716,
            -0.190416276,
            -0.191145822,
            -0.191875368,
            -0.192604914,
            -0.193334475,
            -0.194064021,
            -0.194793567,
            -0.195523113,
            -0.196252674,
            -0.19698222,
            -0.197711766,
            -0.198575363,
            -0.199548095,
            -0.200520828,
            -0.201493561,
            -0.202466279,
            -0.203439027,
            -0.204411745,
            -0.205384493,
            -0.206357211,
            -0.207329959,
            -0.208302677,
            -0.20927541,
            -0.210248142,
            -0.211220875,
            -0.212193608,
            -0.213166341,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.213725477,
            -0.212951884,
            -0.211979151,
            -0.211006418,
            -0.210033685,
            -0.209060952,
            -0.208088219,
            -0.207115486,
            -0.206142753,
            -0.20517002,
            -0.204197288,
            -0.203224555,
            -0.202251822,
            -0.201279089,
            -0.200306356,
            -0.199333623,
            -0.19836089,
            -0.197550923,
            -0.196821377,
            -0.196091831,
            -0.19536227,
            -0.194632724,
            -0.193903178,
            -0.193173632,
            -0.192444071,
            -0.191714525,
            -0.190984979,
            -0.190255433,
            -0.189525872,
            -0.188796327,
            -0.188066781,
            -0.187337235,
            -0.186607674,
            -0.185878128,
            -0.185148582,
            -0.184419036,
            -0.183689475,
            -0.182959929,
            -0.182230383,
            -0.181500837,
            -0.180771276,
            -0.18004173,
            -0.179312184,
            -0.178582639,
            -0.177853078,
            -0.177123532,
            -0.176393986,
            -0.17566444,
            -0.174934879,
            -0.174205333,
            -0.173475787,
            -0.172746241,
            -0.17201668,
            -0.171287134,
            -0.170557588,
            -0.169828042,
            -0.169098482,
            -0.168368936,
            -0.16763939,
            -0.166909844,
            -0.166180283,
            -0.165450737,
            -0.164721191,
            -0.163991645,
            -0.163262099,
            -0.162532538,
            -0.161802992,
            -0.161073446,
            -0.1603439,
            -0.159614339,
            -0.158884794,
            -0.158155248,
            -0.157425702,
            -0.156696141,
            -0.155966595,
            -0.155237049,
            -0.154507503,
            -0.153777942,
            -0.153048396,
            -0.15231885,
            -0.151589304,
            -0.1506989,
            -0.148996621,
            -0.147294328,
            -0.145592049,
            -0.14388977,
            -0.142187476,
            -0.140485197,
            -0.138782918,
            -0.137080625,
            -0.135378346,
            -0.133676067,
            -0.131973773,
            -0.130271494,
            -0.128569216,
            -0.126866922,
            -0.125164643,
            -0.123471931,
            -0.122012831,
            -0.120553732,
            -0.119094633,
            -0.117635533,
            -0.116176434,
            -0.114717335,
            -0.113258235,
            -0.111799136,
            -0.110340036,
            -0.108880937,
            -0.107421838,
            -0.105962738,
            -0.104503639,
            -0.10304454,
            -0.10158544,
            -0.100126341,
            -0.0986672416,
            -0.0972081423,
            -0.0957490429,
            -0.0942899436,
            -0.0928308442,
            -0.0913717449,
            -0.0899126455,
            -0.0884535462,
            -0.0869944543,
            -0.0855353475,
            -0.0840762556,
            -0.0826171488,
            -0.0811580569,
            -0.0796989501,
            -0.0782398582,
            -0.0767807588,
            -0.0757046193,
            -0.0747318864,
            -0.0737591535,
            -0.0727864206,
            -0.0718136877,
            -0.0708409548,
            -0.0698682219,
            -0.0688954964,
            -0.0679227561,
            -0.0669500306,
            -0.0659772977,
            -0.0650045648,
            -0.0640318319,
            -0.063059099,
            -0.0620863624,
            -0.0611136295,
            -0.0603017434,
            -0.0595721938,
            -0.0588426441,
            -0.0581130944,
            -0.0573835447,
            -0.0566539951,
            -0.0559244454,
            -0.0551948957,
            -0.054465346,
            -0.0537357964,
            -0.0530062467,
            -0.052276697,
            -0.0515471473,
            -0.0508175977,
            -0.050088048,
            -0.049358502,
            -0.0478476994,
            -0.0456590503,
            -0.0434704013,
            -0.0412817523,
            -0.039093107,
            -0.0369044542,
            -0.0347158089,
            -0.0325271562,
            -0.0303385109,
            -0.0281498618,
            -0.0259612128,
            -0.0237725638,
            -0.0215839148,
            -0.0193952657,
            -0.0172066167,
            -0.0150179677,
            -0.0124310357,
            -0.00926965475,
            -0.00610827236,
            -0.00294689089,
            0.00021449104,
            0.00337587297,
            0.00653725304,
            0.00969863497,
            0.0128600169,
            0.0160213988,
            0.0191827789,
            0.0223441608,
            0.0255055428,
            0.0286669247,
            0.0318283066,
            0.0349896885,
            0.0379442684,
            0.0403761007,
            0.0428079329,
            0.0452397615,
            0.0476715937,
            0.050103426,
            0.0525352582,
            0.0549670905,
            0.0573989227,
            0.059830755,
            0.0622625872,
            0.0646944195,
            0.0671262518,
            0.069558084,
            0.0719899163,
            0.0744217485,
            0.0767003894,
            0.0781594887,
            0.0796185881,
            0.0810776874,
            0.0825367868,
            0.0839958861,
            0.0854549855,
            0.0869140849,
            0.0883731842,
            0.0898322836,
            0.0912913829,
            0.0927504823,
            0.0942095816,
            0.095668681,
            0.0971277803,
            0.0985868797,
            0.100045979,
            0.101505078,
            0.102964178,
            0.104423277,
            0.105882376,
            0.107341476,
            0.108800575,
            0.110259674,
            0.111718774,
            0.113177873,
            0.114636973,
            0.116096072,
            0.117555171,
            0.119014271,
            0.12047337,
            0.121932469,
            0.123391569,
            0.12507087,
            0.126773149,
            0.128475443,
            0.130177721,
            0.13188,
            0.133582279,
            0.135284573,
            0.136986852,
            0.138689131,
            0.140391409,
            0.142093688,
            0.143795982,
            0.145498261,
            0.14720054,
            0.148902819,
            0.150605112,
            0.152117819,
            0.153576925,
            0.155036017,
            0.156495124,
            0.157954216,
            0.159413323,
            0.160872415,
            0.162331522,
            0.163790613,
            0.16524972,
            0.166708812,
            0.168167919,
            0.169627011,
            0.171086103,
            0.17254521,
            0.174004316,
            0.174986616,
            0.175716162,
            0.176445708,
            0.177175269,
            0.177904814,
            0.17863436,
            0.179363906,
            0.180093467,
            0.180823013,
            0.181552559,
            0.182282105,
            0.183011666,
            0.183741212,
            0.184470758,
            0.185200304,
            0.185929865,
            0.187172577,
            0.188874871,
            0.190577149,
            0.192279428,
            0.193981707,
            0.195684001,
            0.19738628,
            0.199088559,
            0.200790837,
            0.202493131,
            0.20419541,
            0.205897689,
            0.207599968,
            0.209302247,
            0.21100454,
            0.212706819,
            0.214018479,
            0.214748025,
            0.215477571,
            0.216207132,
            0.216936678,
            0.217666224,
            0.21839577,
            0.21912533,
            0.219854876,
            0.220584422,
            0.221313968,
            0.222043514,
            0.222773075,
            0.223502621,
            0.224232167,
            0.224961713,
            0.225691274,
            0.22642082,
            0.227150366,
            0.227879912,
            0.228609473,
            0.229339018,
            0.230068564,
            0.23079811,
            0.231527671,
            0.232257217,
            0.232986763,
            0.233716309,
            0.23444587,
            0.235175416,
            0.235904962,
            0.236634508,
            0.237364069,
            0.238093615,
            0.238823161,
            0.239552706,
            0.240282267,
            0.241011813,
            0.241741359,
            0.242470905,
            0.243200466,
            0.243930012,
            0.244659558,
            0.245389104,
            0.246118665,
            0.246848211,
            0.247577757,
            0.248307303,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249019623,
            0.249674499,
            0.25040406,
            0.251133591,
            0.251863152,
            0.252592713,
            0.253322273,
            0.254051805,
            0.254781365,
            0.255510926,
            0.256240487,
            0.256970018,
            0.257699579,
            0.25842914,
            0.259158701,
            0.259888232,
            0.260617793,
            0.261534989,
            0.262507737,
            0.263480484,
            0.264453202,
            0.26542595,
            0.266398698,
            0.267371416,
            0.268344164,
            0.269316882,
            0.27028963,
            0.271262378,
            0.272235096,
            0.273207843,
            0.274180591,
            0.275153309,
            0.276126057,
            0.276941776,
            0.277671307,
            0.278400868,
            0.279130399,
            0.27985996,
            0.280589491,
            0.281319052,
            0.282048583,
            0.282778144,
            0.283507675,
            0.284237236,
            0.284966767,
            0.285696328,
            0.286425859,
            0.28715542,
            0.287884951,
            0.288614511,
            0.289344043,
            0.290073603,
            0.290803164,
            0.291532695,
            0.292262256,
            0.292991787,
            0.293721348,
            0.294450909,
            0.29518044,
            0.295910001,
            0.296639562,
            0.297369093,
            0.298098654,
            0.298828185,
            0.299557745,
            0.300287306,
            0.301016837,
            0.301746398,
            0.302475959,
            0.30320549,
            0.303935051,
            0.304664582,
            0.305394143,
            0.306123704,
            0.306853235,
            0.307582796,
            0.308312356,
            0.309041888,
            0.309771448,
            0.310500979,
            0.31123054,
            0.311960101,
            0.312689632,
            0.313419193,
            0.314148724,
            0.314878285,
            0.315607846,
            0.316337377,
            0.317066938,
            0.317796499,
            0.31852603,
            0.31925559,
            0.319985121,
            0.320714682,
            0.321444243,
            0.322173774,
            0.322903335,
            0.323667347,
            0.324640095,
            0.325612813,
            0.326585561,
            0.327558279,
            0.328531027,
            0.329503745,
            0.330476493,
            0.331449211,
            0.332421958,
            0.333394676,
            0.334367424,
            0.335340142,
            0.33631289,
            0.337285608,
            0.338258326,
            0.339238733,
            0.340697825,
            0.342156947,
            0.343616039,
            0.34507513,
            0.346534222,
            0.347993314,
            0.349452436,
            0.350911528,
            0.35237062,
            0.353829712,
            0.355288833,
            0.356747925,
            0.358207017,
            0.359666109,
            0.361125231,
            0.362584323,
            0.36339429,
            0.364123851,
            0.364853382,
            0.365582943,
            0.366312504,
            0.367042035,
            0.367771596,
            0.368501127,
            0.369230688,
            0.369960248,
            0.37068978,
            0.37141934,
            0.372148901,
            0.372878432,
            0.373607993,
            0.374337524,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374883264,
            0.375612825,
            0.376342356,
            0.377071917,
            0.377801448,
            0.378531009,
            0.37926057,
            0.379990101,
            0.380719662,
            0.381449223,
            0.382178754,
            0.382908314,
            0.383637846,
            0.384367406,
            0.385096967,
            0.385826498,
            0.386649877,
            0.387622625,
            0.388595343,
            0.38956809,
            0.390540808,
            0.391513556,
            0.392486274,
            0.393459022,
            0.39443174,
            0.395404488,
            0.396377206,
            0.397349954,
            0.398322672,
            0.399295419,
            0.400268137,
            0.401240885,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.40196085,
            0.401225567,
            0.400252819,
            0.399280101,
            0.398307353,
            0.397334635,
            0.396361887,
            0.395389169,
            0.394416422,
            0.393443704,
            0.392470956,
            0.391498238,
            0.39052549,
            0.389552772,
            0.388580024,
            0.387607306,
            0.386634558,
            0.385815024,
            0.385085464,
            0.384355932,
            0.383626372,
            0.382896811,
            0.38216728,
            0.381437719,
            0.380708158,
            0.379978627,
            0.379249066,
            0.378519535,
            0.377789974,
            0.377060413,
            0.376330882,
            0.375601321,
            0.374871761,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.37432605,
            0.373596489,
            0.372866958,
            0.372137398,
            0.371407837,
            0.370678306,
            0.369948745,
            0.369219214,
            0.368489653,
            0.367760092,
            0.367030561,
            0.366301,
            0.365571439,
            0.364841908,
            0.364112347,
            0.363382816,
            0.362653255,
            0.361923695,
            0.361194164,
            0.360464603,
            0.359735042,
            0.359005511,
            0.35827595,
            0.357546419,
            0.356816858,
            0.356087297,
            0.355357766,
            0.354628205,
            0.353898644,
            0.353169113,
            0.352439553,
            0.351710021
          ],
          [
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.35034281,
            0.349613279,
            0.348883718,
            0.348154187,
            0.347424626,
            0.346695065,
            0.345965534,
            0.345235974,
            0.344506413,
            0.343776882,
            0.343047321,
            0.34231779,
            0.341588229,
            0.340858668,
            0.340129137,
            0.339399576,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.338855773,
            0.337883025,
            0.336910307,
            0.33593756,
            0.334964842,
            0.333992094,
            0.333019376,
            0.332046628,
            0.33107391,
            0.330101162,
            0.329128444,
            0.328155696,
            0.327182978,
            0.326210231,
            0.325237513,
            0.324264765,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.323529482,
            0.324494541,
            0.325467288,
            0.326440006,
            0.327412754,
            0.328385472,
            0.32935822,
            0.330330938,
            0.331303686,
            0.332276404,
            0.333249152,
            0.33422187,
            0.335194618,
            0.336167336,
            0.337140083,
            0.338112801,
            0.339085549,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339215755,
            0.339480013,
            0.340209544,
            0.340939105,
            0.341668665,
            0.342398196,
            0.343127757,
            0.343857288,
            0.344586849,
            0.34531641,
            0.346045941,
            0.346775502,
            0.347505033,
            0.348234594,
            0.348964155,
            0.349693686,
            0.350423247,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350980461,
            0.350538135,
            0.349808574,
            0.349079043,
            0.348349482,
            0.347619951,
            0.34689039,
            0.346160829,
            0.345431298,
            0.344701737,
            0.343972176,
            0.343242645,
            0.342513084,
            0.341783553,
            0.341053993,
            0.340324432,
            0.339594901,
            0.338748544,
            0.337775797,
            0.336803079,
            0.335830331,
            0.334857613,
            0.333884865,
            0.332912147,
            0.331939399,
            0.330966681,
            0.329993933,
            0.329021215,
            0.328048468,
            0.32707575,
            0.326103002,
            0.325130284,
            0.324157536,
            0.323270977,
            0.322541416,
            0.321811885,
            0.321082324,
            0.320352793,
            0.319623232,
            0.318893671,
            0.31816414,
            0.317434579,
            0.316705048,
            0.315975487,
            0.315245926,
            0.314516395,
            0.313786834,
            0.313057274,
            0.312327743,
            0.311598182,
            0.310868651,
            0.31013909,
            0.309409529,
            0.308679998,
            0.307950437,
            0.307220876,
            0.306491345,
            0.305761784,
            0.305032253,
            0.304302692,
            0.303573132,
            0.302843601,
            0.30211404,
            0.301384479,
            0.300654948,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.300000072,
            0.297625691,
            0.295193851,
            0.292762011,
            0.290330201,
            0.287898362,
            0.285466522,
            0.283034682,
            0.280602872,
            0.278171033,
            0.275739193,
            0.273307353,
            0.270875543,
            0.268443704,
            0.266011864,
            0.263580024,
            0.261148214,
            0.259543568,
            0.258084476,
            0.256625384,
            0.255166262,
            0.25370717,
            0.252248049,
            0.250788957,
            0.24932985,
            0.247870758,
            0.246411651,
            0.244952545,
            0.243493438,
            0.242034346,
            0.240575239,
            0.239116132,
            0.23765704,
            0.236197934,
            0.234738827,
            0.233279735,
            0.231820628,
            0.230361536,
            0.228902429,
            0.227443337,
            0.225984246,
            0.224525139,
            0.223066032,
            0.22160694,
            0.220147848,
            0.218688741,
            0.217229649,
            0.215770543,
            0.214311451,
            0.212706819,
            0.21100454,
            0.209302247,
            0.207599968,
            0.205897689,
            0.20419541,
            0.202493131,
            0.200790837,
            0.199088559,
            0.19738628,
            0.195684001,
            0.193981707,
            0.192279428,
            0.190577149,
            0.188874871,
            0.187172577,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.186274529,
            0.185769022,
            0.184309915,
            0.182850823,
            0.181391731,
            0.179932639,
            0.178473532,
            0.17701444,
            0.175555348,
            0.174096256,
            0.17263715,
            0.171178058,
            0.169718966,
            0.168259874,
            0.166800767,
            0.165341675,
            0.163882583,
            0.162423491,
            0.160964385,
            0.159505278,
            0.158046171,
            0.156587079,
            0.155127972,
            0.153668866,
            0.152209759,
            0.150750667,
            0.14929156,
            0.147832453,
            0.146373361,
            0.144914255,
            0.143455148,
            0.141996041,
            0.140536949,
            0.139054865,
            0.137352586,
            0.135650292,
            0.133948013,
            0.132245734,
            0.130543455,
            0.128841162,
            0.127138883,
            0.125436604,
            0.123734318,
            0.122032039,
            0.120329753,
            0.118627474,
            0.116925195,
            0.115222909,
            0.113520622,
            0.111818343,
            0.109645016,
            0.107456364,
            0.105267718,
            0.103079066,
            0.10089042,
            0.0987017676,
            0.0965131223,
            0.0943244696,
            0.0921358243,
            0.089947179,
            0.0877585262,
            0.0855698735,
            0.0833812281,
            0.0811925828,
            0.0790039301,
            0.0768152773,
            0.0750364065,
            0.0733341277,
            0.0716318414,
            0.0699295625,
            0.0682272762,
            0.0665249974,
            0.0648227111,
            0.0631204322,
            0.0614181459,
            0.059715867,
            0.0580135807,
            0.0563113019,
            0.0546090193,
            0.0529067367,
            0.0512044542,
            0.0495021716,
            0.0479741395,
            0.0465150401,
            0.0450559407,
            0.0435968414,
            0.042137742,
            0.0406786427,
            0.0392195433,
            0.037760444,
            0.0363013446,
            0.0348422453,
            0.0333831459,
            0.0319240466,
            0.0304649491,
            0.0290058497,
            0.0275467504,
            0.026087651,
            0.0250593871,
            0.0243298374,
            0.0236002896,
            0.0228707399,
            0.0221411902,
            0.0214116406,
            0.0206820909,
            0.0199525412,
            0.0192229915,
            0.0184934419,
            0.0177638922,
            0.0170343425,
            0.0163047928,
            0.0155752432,
            0.0148456935,
            0.0141161438,
            0.0133865941,
            0.0126570445,
            0.0119274957,
            0.011197946,
            0.0104683964,
            0.00973884668,
            0.00900929701,
            0.00827974733,
            0.00755019765,
            0.00682064844,
            0.00609109877,
            0.00536154956,
            0.00463199988,
            0.0039024502,
            0.00317290053,
            0.00244335085,
            0.00163146353,
            0.000658730743,
            -0.000314001925,
            -0.00128673483,
            -0.00225946773,
            -0.00323220063,
            -0.00420493307,
            -0.00517766597,
            -0.0061503984,
            -0.0071231313,
            -0.00809586421,
            -0.00906859711,
            -0.01004133,
            -0.0110140629,
            -0.0119867958,
            -0.0129595287,
            -0.0138805611,
            -0.0146101099,
            -0.0153396595,
            -0.0160692092,
            -0.0167987589,
            -0.0175283086,
            -0.0182578582,
            -0.0189874079,
            -0.0197169576,
            -0.0204465073,
            -0.0211760569,
            -0.0219056066,
            -0.0226351544,
            -0.0233647041,
            -0.0240942538,
            -0.0248238035,
            -0.025553355,
            -0.0262829028,
            -0.0270124525,
            -0.0277420022,
            -0.0284715518,
            -0.0292011015,
            -0.0299306512,
            -0.0306602009,
            -0.0313897505,
            -0.0321193002,
            -0.0328488499,
            -0.0335783996,
            -0.0343079492,
            -0.0350374989,
            -0.0357670486,
            -0.0364965983,
            -0.0372261479,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0372548699,
            -0.0378637835,
            -0.0385933332,
            -0.0393228829,
            -0.0400524326,
            -0.0407819822,
            -0.0415115319,
            -0.0422410816,
            -0.0429706313,
            -0.0437001809,
            -0.0444297306,
            -0.0451592803,
            -0.04588883,
            -0.0466183797,
            -0.0473479293,
            -0.048077479,
            -0.0488070287,
            -0.0495365784,
            -0.050266128,
            -0.0509956777,
            -0.0517252274,
            -0.0524547771,
            -0.0531843267,
            -0.0539138764,
            -0.0546434261,
            -0.0553729758,
            -0.0561025254,
            -0.0568320751,
            -0.0575616248,
            -0.0582911745,
            -0.0590207241,
            -0.0597502738,
            -0.0604798235,
            -0.0617761612,
            -0.06347844,
            -0.0651807263,
            -0.0668830052,
            -0.0685852915,
            -0.0702875704,
            -0.0719898567,
            -0.0736921355,
            -0.0753944218,
            -0.0770967007,
            -0.078798987,
            -0.0805012658,
            -0.0822035521,
            -0.083905831,
            -0.0856081173,
            -0.0873103961,
            -0.0885684416,
            -0.0892979875,
            -0.0900275409,
            -0.0907570869,
            -0.0914866403,
            -0.0922161862,
            -0.0929457396,
            -0.0936752856,
            -0.094404839,
            -0.0951343849,
            -0.0958639383,
            -0.0965934843,
            -0.0973230302,
            -0.0980525836,
            -0.098782137,
            -0.099511683,
            -0.100482501,
            -0.1019416,
            -0.1034007,
            -0.104859799,
            -0.106318898,
            -0.107777998,
            -0.109237097,
            -0.110696197,
            -0.112155296,
            -0.113614395,
            -0.115073495,
            -0.116532594,
            -0.117991693,
            -0.119450793,
            -0.120909892,
            -0.122368991,
            -0.123728514,
            -0.124701254,
            -0.12567398,
            -0.126646727,
            -0.12761946,
            -0.128592193,
            -0.129564926,
            -0.130537659,
            -0.131510392,
            -0.132483125,
            -0.133455858,
            -0.134428591,
            -0.135401338,
            -0.136374071,
            -0.137346804,
            -0.138319537,
            -0.139330566,
            -0.140789673,
            -0.142248765,
            -0.143707871,
            -0.145166963,
            -0.14662607,
            -0.148085162,
            -0.149544269,
            -0.151003361,
            -0.152462453,
            -0.153921559,
            -0.155380666,
            -0.156839758,
            -0.15829885,
            -0.159757957,
            -0.161217064,
            -0.162676156,
            -0.163440168,
            -0.164169714,
            -0.164899275,
            -0.165628821,
            -0.166358367,
            -0.167087913,
            -0.167817473,
            -0.168547019,
            -0.169276565,
            -0.170006111,
            -0.170735672,
            -0.171465218,
            -0.172194764,
            -0.17292431,
            -0.173653871,
            -0.174383417,
            -0.175112963,
            -0.175842509,
            -0.17657207,
            -0.177301615,
            -0.178031161,
            -0.178760707,
            -0.179490268,
            -0.180219814,
            -0.18094936,
            -0.181678906,
            -0.182408467,
            -0.183138013,
            -0.183867559,
            -0.184597105,
            -0.185326666,
            -0.186056212,
            -0.186785758,
            -0.187515303,
            -0.188244864,
            -0.18897441,
            -0.189703956,
            -0.190433502,
            -0.191163063,
            -0.191892609,
            -0.192622155,
            -0.193351701,
            -0.194081247,
            -0.194810808,
            -0.195540354,
            -0.1962699,
            -0.196999446,
            -0.197729006,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197384328,
            -0.195925236,
            -0.194466129,
            -0.193007037,
            -0.19154793,
            -0.190088838,
            -0.188629732,
            -0.18717064,
            -0.185711533,
            -0.184252441,
            -0.182793334,
            -0.181334242,
            -0.179875135,
            -0.178416044,
            -0.176956952,
            -0.175497845,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174509794,
            -0.174653411,
            -0.175382957,
            -0.176112503,
            -0.176842049,
            -0.17757161,
            -0.178301156,
            -0.179030702,
            -0.179760247,
            -0.180489808,
            -0.181219354,
            -0.1819489,
            -0.182678446,
            -0.183408007,
            -0.184137553,
            -0.184867099,
            -0.185596645,
            -0.186326206,
            -0.187055752,
            -0.187785298,
            -0.188514844,
            -0.189244404,
            -0.18997395,
            -0.190703496,
            -0.191433042,
            -0.192162603,
            -0.192892149,
            -0.193621695,
            -0.194351241,
            -0.195080787,
            -0.195810348,
            -0.196539894,
            -0.19726944,
            -0.197998986,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.197717518,
            -0.196987957,
            -0.196258411,
            -0.195528865,
            -0.194799319,
            -0.194069758,
            -0.193340212,
            -0.192610666,
            -0.19188112,
            -0.191151559,
            -0.190422013,
            -0.189692467,
            -0.188962922,
            -0.188233376,
            -0.187503815,
            -0.186774269,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186274499,
            -0.186136633,
            -0.185407087,
            -0.184677526,
            -0.18394798,
            -0.183218434,
            -0.182488889,
            -0.181759328,
            -0.181029782,
            -0.180300236,
            -0.17957069,
            -0.178841129,
            -0.178111583,
            -0.177382037,
            -0.176652491,
            -0.17592293,
            -0.175193384,
            -0.174463838,
            -0.173734292,
            -0.173004732,
            -0.172275186,
            -0.17154564,
            -0.170816094,
            -0.170086533,
            -0.169356987,
            -0.168627441,
            -0.167897895,
            -0.167168349,
            -0.166438788,
            -0.165709242,
            -0.164979696,
            -0.16425015,
            -0.163520589,
            -0.162791044,
            -0.162061498,
            -0.161331952,
            -0.160602391,
            -0.159872845,
            -0.159143299,
            -0.158413753,
            -0.157684192,
            -0.156954646,
            -0.1562251,
            -0.155495554,
            -0.154765993,
            -0.154036447,
            -0.153306901,
            -0.152577356,
            -0.151847795,
            -0.151118249,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.150980383,
            -0.151296332,
            -0.152025878,
            -0.152755424,
            -0.153484985,
            -0.154214531,
            -0.154944077,
            -0.155673623,
            -0.156403184,
            -0.15713273,
            -0.157862276,
            -0.158591822,
            -0.159321368,
            -0.160050929,
            -0.160780475,
            -0.16151002,
            -0.162239581,
            -0.162969127,
            -0.163698673,
            -0.164428219,
            -0.165157765,
            -0.165887326,
            -0.166616872,
            -0.167346418,
            -0.168075964,
            -0.168805525,
            -0.169535071,
            -0.170264617,
            -0.170994163,
            -0.171723723,
            -0.172453269,
            -0.173182815,
            -0.173912361,
            -0.174641922,
            -0.175371468,
            -0.176101014,
            -0.17683056,
            -0.177560121,
            -0.178289667,
            -0.179019213,
            -0.179748759,
            -0.18047832,
            -0.181207865,
            -0.181937411,
            -0.182666957,
            -0.183396518,
            -0.184126064,
            -0.18485561,
            -0.185585156,
            -0.186314717,
            -0.187044263,
            -0.187773809,
            -0.188503355,
            -0.189232916,
            -0.189962462,
            -0.190692008,
            -0.191421553,
            -0.192151099,
            -0.19288066,
            -0.193610206,
            -0.194339752,
            -0.195069313,
            -0.195798859,
            -0.196528405,
            -0.197257951,
            -0.197987497,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.198039204,
            -0.199191928,
            -0.200894207,
            -0.202596501,
            -0.204298779,
            -0.206001058,
            -0.207703337,
            -0.209405631,
            -0.21110791,
            -0.212810189,
            -0.214512467,
            -0.216214746,
            -0.21791704,
            -0.219619319,
            -0.221321598,
            -0.223023891,
            -0.22472617,
            -0.22589229,
            -0.226621851,
            -0.227351397,
            -0.228080943,
            -0.228810489,
            -0.22954005,
            -0.230269596,
            -0.230999142,
            -0.231728688,
            -0.232458249,
            -0.233187795,
            -0.233917341,
            -0.234646887,
            -0.235376447,
            -0.236105993,
            -0.236835539,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.237254888,
            -0.236674696,
            -0.23594515,
            -0.235215589,
            -0.234486043,
            -0.233756498,
            -0.233026952,
            -0.232297391,
            -0.231567845,
            -0.230838299,
            -0.230108753,
            -0.229379192,
            -0.228649646,
            -0.2279201,
            -0.227190554,
            -0.226460993,
            -0.225731447,
            -0.225001901,
            -0.224272355,
            -0.223542809,
            -0.222813249,
            -0.222083703,
            -0.221354157,
            -0.220624611,
            -0.21989505,
            -0.219165504,
            -0.218435958,
            -0.217706412,
            -0.216976851,
            -0.216247305,
            -0.215517759,
            -0.214788213,
            -0.214058653,
            -0.213196978,
            -0.212224245,
            -0.211251512,
            -0.210278779,
            -0.209306061,
            -0.208333313,
            -0.207360595,
            -0.206387848,
            -0.20541513,
            -0.204442382,
            -0.203469664,
            -0.202496931,
            -0.201524198,
            -0.200551465,
            -0.199578732,
            -0.198605999,
            -0.197430283,
            -0.195971191,
            -0.194512084,
            -0.193052992,
            -0.191593885,
            -0.190134794,
            -0.188675687,
            -0.187216595,
            -0.185757488,
            -0.184298396,
            -0.182839304,
            -0.181380197,
            -0.179921091,
            -0.178461999,
            -0.177002907,
            -0.1755438,
            -0.174297243,
            -0.173567697,
            -0.172838151,
            -0.172108606,
            -0.171379045,
            -0.170649499,
            -0.169919953,
            -0.169190407,
            -0.168460846,
            -0.1677313,
            -0.167001754,
            -0.166272208,
            -0.165542647,
            -0.164813101,
            -0.164083555,
            -0.163354009,
            -0.162342981,
            -0.159911141,
            -0.157479301,
            -0.155047476,
            -0.152615637,
            -0.150183812,
            -0.147751972,
            -0.145320132,
            -0.142888308,
            -0.140456468,
            -0.138024628,
            -0.135592803,
            -0.133160964,
            -0.130729139,
            -0.128297299,
            -0.125865459,
            -0.123471931,
            -0.122012831,
            -0.120553732,
            -0.119094633,
            -0.117635533,
            -0.116176434,
            -0.114717335,
            -0.113258235,
            -0.111799136,
            -0.110340036,
            -0.108880937,
            -0.107421838,
            -0.105962738,
            -0.104503639,
            -0.10304454,
            -0.10158544,
            -0.100126341,
            -0.0986672416,
            -0.0972081423,
            -0.0957490429,
            -0.0942899436,
            -0.0928308442,
            -0.0913717449,
            -0.0899126455,
            -0.0884535462,
            -0.0869944543,
            -0.0855353475,
            -0.0840762556,
            -0.0826171488,
            -0.0811580569,
            -0.0796989501,
            -0.0782398582,
            -0.0767807588,
            -0.0751301721,
            -0.0734278932,
            -0.0717256069,
            -0.0700233281,
            -0.0683210418,
            -0.0666187629,
            -0.0649164766,
            -0.0632141978,
            -0.0615119152,
            -0.0598096326,
            -0.05810735,
            -0.0564050674,
            -0.0547027849,
            -0.0530005023,
            -0.0512982234,
            -0.0495959371,
            -0.0485370383,
            -0.0478074886,
            -0.0470779389,
            -0.0463483892,
            -0.0456188396,
            -0.0448892899,
            -0.0441597402,
            -0.0434301905,
            -0.0427006409,
            -0.0419710912,
            -0.0412415415,
            -0.0405119918,
            -0.0397824422,
            -0.0390528925,
            -0.0383233428,
            -0.0375937968,
            -0.0359527878,
            -0.0335209556,
            -0.0310891233,
            -0.0286572911,
            -0.0262254588,
            -0.0237936266,
            -0.0213617943,
            -0.0189299621,
            -0.0164981317,
            -0.0140662994,
            -0.0116344672,
            -0.00920263492,
            -0.00677080266,
            -0.00433897227,
            -0.00190714002,
            0.000524692237,
            0.00285695354,
            0.0050456021,
            0.00723425113,
            0.00942290016,
            0.0116115492,
            0.0138001973,
            0.0159888454,
            0.0181774944,
            0.0203661434,
            0.0225547925,
            0.0247434415,
            0.0269320905,
            0.0291207395,
            0.0313093886,
            0.0334980376,
            0.0356866866,
            0.0376685336,
            0.039127633,
            0.0405867323,
            0.0420458317,
            0.043504931,
            0.0449640304,
            0.0464231297,
            0.0478822254,
            0.0493413247,
            0.0508004241,
            0.0522595234,
            0.0537186228,
            0.0551777221,
            0.0566368215,
            0.0580959208,
            0.0595550202,
            0.0610524155,
            0.0627546981,
            0.0644569844,
            0.0661592633,
            0.0678615421,
            0.0695638284,
            0.0712661073,
            0.0729683936,
            0.0746706724,
            0.0763729587,
            0.0780752376,
            0.0797775239,
            0.0814798027,
            0.083182089,
            0.0848843679,
            0.0865866542,
            0.0883042514,
            0.0904929042,
            0.0926815495,
            0.0948702022,
            0.0970588475,
            0.0992475003,
            0.101436146,
            0.103624791,
            0.105813444,
            0.108002089,
            0.110190742,
            0.112379387,
            0.11456804,
            0.116756685,
            0.118945338,
            0.121133983,
            0.123322636,
            0.125731483,
            0.128163323,
            0.130595163,
            0.133027002,
            0.135458827,
            0.137890667,
            0.140322506,
            0.142754346,
            0.145186171,
            0.147618011,
            0.15004985,
            0.152481675,
            0.154913515,
            0.157345355,
            0.159777194,
            0.162209034,
            0.163882583,
            0.165341675,
            0.166800767,
            0.168259874,
            0.169718966,
            0.171178058,
            0.17263715,
            0.174096256,
            0.175555348,
            0.17701444,
            0.178473532,
            0.179932639,
            0.181391731,
            0.182850823,
            0.184309915,
            0.185769022,
            0.186910257,
            0.18788299,
            0.188855723,
            0.18982847,
            0.190801203,
            0.191773936,
            0.192746669,
            0.193719417,
            0.19469215,
            0.195664883,
            0.196637616,
            0.197610348,
            0.198583096,
            0.199555829,
            0.200528562,
            0.201501295,
            0.202345744,
            0.20307529,
            0.203804836,
            0.204534382,
            0.205263928,
            0.205993474,
            0.206723019,
            0.207452565,
            0.208182111,
            0.208911657,
            0.209641203,
            0.210370749,
            0.211100295,
            0.211829841,
            0.212559387,
            0.213288933,
            0.214018479,
            0.214748025,
            0.215477571,
            0.216207132,
            0.216936678,
            0.217666224,
            0.21839577,
            0.21912533,
            0.219854876,
            0.220584422,
            0.221313968,
            0.222043514,
            0.222773075,
            0.223502621,
            0.224232167,
            0.224961713,
            0.225691274,
            0.22642082,
            0.227150366,
            0.227879912,
            0.228609473,
            0.229339018,
            0.230068564,
            0.23079811,
            0.231527671,
            0.232257217,
            0.232986763,
            0.233716309,
            0.23444587,
            0.235175416,
            0.235904962,
            0.236634508,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237254918,
            0.237272158,
            0.238001704,
            0.23873125,
            0.239460796,
            0.240190357,
            0.240919903,
            0.241649449,
            0.242378995,
            0.243108541,
            0.243838102,
            0.244567648,
            0.245297194,
            0.246026739,
            0.2467563,
            0.247485846,
            0.248215392,
            0.248944938,
            0.249674499,
            0.25040406,
            0.251133591,
            0.251863152,
            0.252592713,
            0.253322273,
            0.254051805,
            0.254781365,
            0.255510926,
            0.256240487,
            0.256970018,
            0.257699579,
            0.25842914,
            0.259158701,
            0.259888232,
            0.260617793,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.260784388,
            0.261412442,
            0.26238519,
            0.263357937,
            0.264330655,
            0.265303403,
            0.266276121,
            0.267248869,
            0.268221617,
            0.269194335,
            0.270167083,
            0.27113983,
            0.272112548,
            0.273085296,
            0.274058014,
            0.275030762,
            0.27600351,
            0.276849866,
            0.277579397,
            0.278308958,
            0.279038489,
            0.27976805,
            0.280497581,
            0.281227142,
            0.281956673,
            0.282686234,
            0.283415765,
            0.284145325,
            0.284874856,
            0.285604417,
            0.286333948,
            0.287063509,
            0.28779304,
            0.288522601,
            0.289252132,
            0.289981693,
            0.290711254,
            0.291440785,
            0.292170346,
            0.292899877,
            0.293629438,
            0.294358999,
            0.29508853,
            0.29581809,
            0.296547651,
            0.297277182,
            0.298006743,
            0.298736274,
            0.299465835,
            0.300390691,
            0.301849782,
            0.303308904,
            0.304767996,
            0.306227088,
            0.30768618,
            0.309145302,
            0.310604393,
            0.312063485,
            0.313522577,
            0.314981699,
            0.316440791,
            0.317899883,
            0.319358975,
            0.320818096,
            0.322277188,
            0.323667347,
            0.324640095,
            0.325612813,
            0.326585561,
            0.327558279,
            0.328531027,
            0.329503745,
            0.330476493,
            0.331449211,
            0.332421958,
            0.333394676,
            0.334367424,
            0.335340142,
            0.33631289,
            0.337285608,
            0.338258326,
            0.339238733,
            0.340697825,
            0.342156947,
            0.343616039,
            0.34507513,
            0.346534222,
            0.347993314,
            0.349452436,
            0.350911528,
            0.35237062,
            0.353829712,
            0.355288833,
            0.356747925,
            0.358207017,
            0.359666109,
            0.361125231,
            0.362584323,
            0.36339429,
            0.364123851,
            0.364853382,
            0.365582943,
            0.366312504,
            0.367042035,
            0.367771596,
            0.368501127,
            0.369230688,
            0.369960248,
            0.37068978,
            0.37141934,
            0.372148901,
            0.372878432,
            0.373607993,
            0.374337524,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374509871,
            0.374883264,
            0.375612825,
            0.376342356,
            0.377071917,
            0.377801448,
            0.378531009,
            0.37926057,
            0.379990101,
            0.380719662,
            0.381449223,
            0.382178754,
            0.382908314,
            0.383637846,
            0.384367406,
            0.385096967,
            0.385826498,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.386274576,
            0.385723114,
            0.384993553,
            0.384263992,
            0.383534461,
            0.3828049,
            0.382075369,
            0.381345809,
            0.380616248,
            0.379886717,
            0.379157156,
            0.378427625,
            0.377698064,
            0.376968503,
            0.376238972,
            0.375509411,
            0.37477985,
            0.374050319,
            0.373320758,
            0.372591227,
            0.371861666,
            0.371132106,
            0.370402575,
            0.369673014,
            0.368943453,
            0.368213922,
            0.367484361,
            0.36675483,
            0.366025269,
            0.365295708,
            0.364566177,
            0.363836616,
            0.363107055,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362745166,
            0.362653255,
            0.361923695,
            0.361194164,
            0.360464603,
            0.359735042,
            0.359005511,
            0.35827595,
            0.357546419,
            0.356816858,
            0.356087297,
            0.355357766,
            0.354628205,
            0.353898644,
            0.353169113,
            0.352439553,
            0.351710021
          ]
        ]
      },
      "pos": [
        13,
        4
      ]
    },
    {
      "id": 548,
      "plugin": "AudibleInstruments",
      "version": "1.4.0",
      "model": "Branches",
      "params": [
        {
          "id": 0,
          "value": 0.5
        },
        {
          "id": 1,
          "value": 0.5
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 0.0
        }
      ],
      "leftModuleId": 549,
      "rightModuleId": 553,
      "data": {
        "modes": [
          false,
          false
        ]
      },
      "pos": [
        10,
        0
      ]
    },
    {
      "id": 549,
      "plugin": "ImpromptuModular",
      "version": "1.1.9",
      "model": "Clocked-Clkd",
      "params": [
        {
          "id": 0,
          "value": 5.0
        },
        {
          "id": 1,
          "value": 1.0
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 120.0
        },
        {
          "id": 4,
          "value": 0.0
        },
        {
          "id": 5,
          "value": 0.0
        },
        {
          "id": 6,
          "value": 0.0
        },
        {
          "id": 7,
          "value": 0.0
        },
        {
          "id": 8,
          "value": 0.0
        },
        {
          "id": 9,
          "value": 0.0
        }
      ],
      "rightModuleId": 548,
      "data": {
        "panelTheme": 1,
        "running": false,
        "bpmDetectionMode": false,
        "resetOnStartStop": 15,
        "ppqn": 4,
        "resetClockOutputsHigh": false,
        "momentaryRunInput": true,
        "displayIndex": 2,
        "trigOuts": [
          false,
          false,
          false,
          false
        ],
        "clockMaster": -1
      },
      "pos": [
        0,
        0
      ]
    },
    {
      "id": 550,
      "plugin": "squinkylabs-plug1",
      "version": "1.0.14",
      "model": "squinkylabs-basic",
      "params": [
        {
          "id": 0,
          "value": 4.0
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 0.0
        },
        {
          "id": 4,
          "value": 50.0
        },
        {
          "id": 5,
          "value": 0.0
        },
        {
          "id": 6,
          "value": 1.0
        }
      ],
      "leftModuleId": 555,
      "rightModuleId": 559,
      "pos": [
        31,
        0
      ]
    },
    {
      "id": 551,
      "plugin": "MSM",
      "version": "1.0.0",
      "model": "DualDelay",
      "params": [
        {
          "id": 0,
          "value": 1.0
        },
        {
          "id": 1,
          "value": 1.0
        },
        {
          "id": 2,
          "value": 0.713799894
        },
        {
          "id": 3,
          "value": 0.739300013
        },
        {
          "id": 4,
          "value": 0.300000012
        },
        {
          "id": 5,
          "value": 0.300000012
        },
        {
          "id": 6,
          "value": 1.0
        },
        {
          "id": 7,
          "value": 0.0
        },
        {
          "id": 8,
          "value": 1.0
        },
        {
          "id": 9,
          "value": 0.0
        },
        {
          "id": 10,
          "value": 0.200000003
        },
        {
          "id": 11,
          "value": 0.200000003
        },
        {
          "id": 12,
          "value": 1.0
        },
        {
          "id": 13,
          "value": 1.0
        },
        {
          "id": 14,
          "value": 0.0
        },
        {
          "id": 15,
          "value": 0.0
        },
        {
          "id": 16,
          "value": 0.0
        },
        {
          "id": 17,
          "value": 0.0
        }
      ],
      "leftModuleId": 560,
      "data": {
        "Theme": 1,
        "DISPLAYA": 1,
        "DISPLAYB": 1
      },
      "pos": [
        49,
        0
      ]
    },
    {
      "id": 553,
      "plugin": "Bogaudio",
      "version": "1.1.35",
      "model": "Bogaudio-SampleHold",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 0.0
        },
        {
          "id": 4,
          "value": 0.0
        },
        {
          "id": 5,
          "value": 0.0
        }
      ],
      "leftModuleId": 548,
      "rightModuleId": 554,
      "data": {
        "poly_input": 0,
        "noise_type": 0,
        "range_offset": 1.0,
        "range_scale": 5.0
      },
      "pos": [
        16,
        0
      ]
    },
    {
      "id": 554,
      "plugin": "Bogaudio",
      "version": "1.1.35",
      "model": "Bogaudio-SampleHold",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 0.0
        },
        {
          "id": 4,
          "value": 0.0
        },
        {
          "id": 5,
          "value": 0.0
        }
      ],
      "leftModuleId": 553,
      "rightModuleId": 556,
      "data": {
        "poly_input": 0,
        "noise_type": 0,
        "range_offset": 1.0,
        "range_scale": 5.0
      },
      "pos": [
        19,
        0
      ]
    },
    {
      "id": 555,
      "plugin": "JW-Modules",
      "version": "1.0.17",
      "model": "Quantizer",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 11.0
        }
      ],
      "leftModuleId": 556,
      "rightModuleId": 550,
      "data": {},
      "pos": [
        27,
        0
      ]
    },
    {
      "id": 556,
      "plugin": "Befaco",
      "version": "1.0.1",
      "model": "DualAtenuverter",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 0.200000003
        },
        {
          "id": 3,
          "value": 0.0
        }
      ],
      "leftModuleId": 554,
      "rightModuleId": 555,
      "pos": [
        22,
        0
      ]
    },
    {
      "id": 557,
      "plugin": "NYSTHI",
      "version": "1.0.16",
      "model": "PolyAttackDecaySustainRelease",
      "params": [
        {
          "id": 0,
          "value": 0.0344999991
        },
        {
          "id": 1,
          "value": 0.179499999
        },
        {
          "id": 2,
          "value": 0.5
        },
        {
          "id": 3,
          "value": 0.646999955
        },
        {
          "id": 4,
          "value": 0.5
        },
        {
          "id": 5,
          "value": 1.0
        },
        {
          "id": 6,
          "value": 0.0
        },
        {
          "id": 7,
          "value": 0.0
        },
        {
          "id": 8,
          "value": 0.0
        },
        {
          "id": 9,
          "value": 0.0
        },
        {
          "id": 10,
          "value": 0.0
        },
        {
          "id": 11,
          "value": 0.0
        },
        {
          "id": 12,
          "value": 0.0
        },
        {
          "id": 13,
          "value": 0.0
        },
        {
          "id": 14,
          "value": 0.0
        },
        {
          "id": 15,
          "value": 1.0
        },
        {
          "id": 16,
          "value": 1.0
        },
        {
          "id": 17,
          "value": 0.0
        },
        {
          "id": 18,
          "value": 0.0
        },
        {
          "id": 19,
          "value": 0.0
        },
        {
          "id": 20,
          "value": 0.0
        }
      ],
      "leftModuleId": 559,
      "rightModuleId": 560,
      "data": {
        "m_ZEROONTRIG": false,
        "m_TRIGIFSTABLE": false,
        "m_EXPONENTIALMODE": true,
        "m_time_range": 10,
        "m_ar_mode": false,
        "m_looped": false,
        "m_base_level": 0.0
      },
      "pos": [
        40,
        0
      ]
    },
    {
      "id": 559,
      "plugin": "squinkylabs-plug1",
      "version": "1.0.14",
      "model": "squinkylabs-comp",
      "params": [
        {
          "id": 0,
          "value": 0.807399988
        },
        {
          "id": 1,
          "value": 0.25
        },
        {
          "id": 2,
          "value": 6.0
        },
        {
          "id": 3,
          "value": 1.0
        },
        {
          "id": 4,
          "value": 0.0
        },
        {
          "id": 5,
          "value": 1.0
        },
        {
          "id": 6,
          "value": 1.0
        }
      ],
      "leftModuleId": 550,
      "rightModuleId": 557,
      "pos": [
        34,
        0
      ]
    },
    {
      "id": 560,
      "plugin": "Fundamental",
      "version": "1.4.0",
      "model": "Noise",
      "params": [],
      "leftModuleId": 557,
      "rightModuleId": 551,
      "pos": [
        46,
        0
      ]
    },
    {
      "id": 561,
      "plugin": "LindenbergResearch",
      "version": "1.3.3",
      "model": "VCF",
      "params": [
        {
          "id": 0,
          "value": 0.42449972
        },
        {
          "id": 1,
          "value": 0.398249894
        },
        {
          "id": 2,
          "value": 0.398999929
        },
        {
          "id": 3,
          "value": 4.0
        },
        {
          "id": 4,
          "value": 0.875799954
        },
        {
          "id": 5,
          "value": 0.264600039
        },
        {
          "id": 6,
          "value": 0.0
        }
      ],
      "leftModuleId": 547,
      "rightModuleId": 563,
      "gestaltID": 1,
      "gradient": true,
      "patina": false,
      "patina_i_x": true,
      "patina_i_y": true,
      "patina_a_x": 1085.94299,
      "patina_a_y": 21.6398144,
      "overlay": false,
      "overlay_r": 0.954916775,
      "overlay_g": 0.660836339,
      "overlay_b": 0.997878492,
      "overlay_a": 0.370100111,
      "pos": [
        43,
        4
      ]
    },
    {
      "id": 562,
      "plugin": "NYSTHI",
      "version": "1.0.16",
      "model": "AttackDecay",
      "params": [
        {
          "id": 0,
          "value": 0.0225000009
        },
        {
          "id": 1,
          "value": 0.212500021
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 1.0
        },
        {
          "id": 4,
          "value": 0.5
        },
        {
          "id": 5,
          "value": 0.0
        }
      ],
      "leftModuleId": 563,
      "rightModuleId": 565,
      "data": {
        "m_looped": false
      },
      "pos": [
        58,
        4
      ]
    },
    {
      "id": 563,
      "plugin": "Fundamental",
      "version": "1.4.0",
      "model": "VCA-1",
      "params": [
        {
          "id": 0,
          "value": 1.0
        },
        {
          "id": 1,
          "value": 1.0
        }
      ],
      "leftModuleId": 561,
      "rightModuleId": 562,
      "pos": [
        55,
        4
      ]
    },
    {
      "id": 564,
      "plugin": "JW-Modules",
      "version": "1.0.17",
      "model": "NoteSeq16",
      "params": [
        {
          "id": 0,
          "value": 16.0
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 0.0
        },
        {
          "id": 4,
          "value": 0.274281085
        },
        {
          "id": 5,
          "value": 11.0
        },
        {
          "id": 6,
          "value": 0.0
        },
        {
          "id": 7,
          "value": 0.0
        },
        {
          "id": 8,
          "value": 0.0
        },
        {
          "id": 9,
          "value": 0.0
        },
        {
          "id": 10,
          "value": 0.0
        }
      ],
      "rightModuleId": 547,
      "data": {
        "channels": 1,
        "cells": [
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          1,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          1,
          1,
          0,
          0,
          1,
          0,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          1,
          1,
          1,
          0,
          1,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          1,
          1,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          1,
          1,
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1
        ]
      },
      "pos": [
        0,
        4
      ]
    },
    {
      "id": 565,
      "plugin": "squinkylabs-plug1",
      "version": "1.0.14",
      "model": "squinkylabs-lfn",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 0.0
        },
        {
          "id": 4,
          "value": 0.0
        },
        {
          "id": 5,
          "value": -2.17499995
        },
        {
          "id": 6,
          "value": 1.0
        }
      ],
      "leftModuleId": 562,
      "rightModuleId": 566,
      "pos": [
        60,
        4
      ]
    },
    {
      "id": 566,
      "plugin": "VultCompacts",
      "version": "1.12",
      "model": "Knock",
      "params": [
        {
          "id": 0,
          "value": 0.5
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 0.5
        },
        {
          "id": 3,
          "value": 0.493999988
        },
        {
          "id": 4,
          "value": 0.335000038
        },
        {
          "id": 5,
          "value": 0.0
        },
        {
          "id": 6,
          "value": 1.0
        },
        {
          "id": 7,
          "value": 0.5
        },
        {
          "id": 8,
          "value": 0.0
        },
        {
          "id": 9,
          "value": 0.0
        },
        {
          "id": 10,
          "value": 0.0
        },
        {
          "id": 11,
          "value": 0.0
        },
        {
          "id": 12,
          "value": 0.0
        }
      ],
      "leftModuleId": 565,
      "rightModuleId": 567,
      "data": {
        "extreme": 0
      },
      "pos": [
        66,
        4
      ]
    },
    {
      "id": 567,
      "plugin": "squinkylabs-plug1",
      "version": "1.0.14",
      "model": "squinkylabs-comp",
      "params": [
        {
          "id": 0,
          "value": 0.807399988
        },
        {
          "id": 1,
          "value": 0.0864999294
        },
        {
          "id": 2,
          "value": 7.0
        },
        {
          "id": 3,
          "value": 3.0
        },
        {
          "id": 4,
          "value": 0.0
        },
        {
          "id": 5,
          "value": 1.0
        },
        {
          "id": 6,
          "value": 1.0
        }
      ],
      "leftModuleId": 566,
      "rightModuleId": 569,
      "pos": [
        76,
        4
      ]
    },
    {
      "id": 568,
      "plugin": "Bidoo",
      "version": "1.1.28",
      "model": "EMILE",
      "params": [
        {
          "id": 0,
          "value": 177.772141
        },
        {
          "id": 1,
          "value": 0.5
        },
        {
          "id": 2,
          "value": 5.0
        }
      ],
      "leftModuleId": 569,
      "rightModuleId": 570,
      "data": {
        "lastPath": "C:\\Users\\User\\Desktop\\Noise Synth 2.png"
      },
      "pos": [
        86,
        4
      ]
    },
    {
      "id": 569,
      "plugin": "CountModula",
      "version": "1.13.0",
      "model": "Chances",
      "params": [
        {
          "id": 0,
          "value": 0.5
        },
        {
          "id": 1,
          "value": 1.0
        }
      ],
      "leftModuleId": 567,
      "rightModuleId": 568,
      "data": {
        "moduleVersion": 1.10000002,
        "theme": 3
      },
      "pos": [
        82,
        4
      ]
    },
    {
      "id": 570,
      "plugin": "Bidoo",
      "version": "1.1.28",
      "model": "EMILE",
      "params": [
        {
          "id": 0,
          "value": 89.7883224
        },
        {
          "id": 1,
          "value": 0.5
        },
        {
          "id": 2,
          "value": 5.0
        }
      ],
      "leftModuleId": 568,
      "rightModuleId": 571,
      "data": {
        "lastPath": "C:\\Users\\User\\Desktop\\Noise Synth 2.png"
      },
      "pos": [
        95,
        4
      ]
    },
    {
      "id": 571,
      "plugin": "Bogaudio",
      "version": "1.1.35",
      "model": "Bogaudio-VCA",
      "params": [
        {
          "id": 0,
          "value": 1.0
        },
        {
          "id": 1,
          "value": 1.0
        },
        {
          "id": 2,
          "value": 0.0
        }
      ],
      "leftModuleId": 570,
      "rightModuleId": 572,
      "data": {},
      "pos": [
        104,
        4
      ]
    },
    {
      "id": 572,
      "plugin": "NYSTHI",
      "version": "1.0.16",
      "model": "AttackDecay",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.425500035
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 1.0
        },
        {
          "id": 4,
          "value": 0.5
        },
        {
          "id": 5,
          "value": 0.0
        }
      ],
      "leftModuleId": 571,
      "rightModuleId": 573,
      "data": {
        "m_looped": false
      },
      "pos": [
        107,
        4
      ]
    },
    {
      "id": 573,
      "plugin": "NYSTHI",
      "version": "1.0.16",
      "model": "AttackDecay",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.478000015
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 1.0
        },
        {
          "id": 4,
          "value": 0.5
        },
        {
          "id": 5,
          "value": 0.0
        }
      ],
      "leftModuleId": 572,
      "rightModuleId": 577,
      "data": {
        "m_looped": false
      },
      "pos": [
        109,
        4
      ]
    },
    {
      "id": 574,
      "plugin": "JW-Modules",
      "version": "1.0.17",
      "model": "Quantizer",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 11.0
        }
      ],
      "leftModuleId": 541,
      "rightModuleId": 546,
      "data": {},
      "pos": [
        91,
        3
      ]
    },
    {
      "id": 575,
      "plugin": "squinkylabs-plug1",
      "version": "1.0.14",
      "model": "squinkylabs-comp",
      "params": [
        {
          "id": 0,
          "value": 0.807399988
        },
        {
          "id": 1,
          "value": 0.25
        },
        {
          "id": 2,
          "value": 8.0
        },
        {
          "id": 3,
          "value": 3.0
        },
        {
          "id": 4,
          "value": 0.0
        },
        {
          "id": 5,
          "value": 1.0
        },
        {
          "id": 6,
          "value": 1.0
        }
      ],
      "leftModuleId": 205,
      "rightModuleId": 576,
      "pos": [
        113,
        1
      ]
    },
    {
      "id": 576,
      "plugin": "NYSTHI",
      "version": "1.0.16",
      "model": "MasterRecorder2",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 0.0
        },
        {
          "id": 3,
          "value": 1.0
        },
        {
          "id": 4,
          "value": 1.0
        },
        {
          "id": 5,
          "value": 0.0
        },
        {
          "id": 6,
          "value": 0.0
        },
        {
          "id": 7,
          "value": 0.0
        },
        {
          "id": 8,
          "value": 0.0
        },
        {
          "id": 9,
          "value": 0.00499999989
        },
        {
          "id": 10,
          "value": 0.00999999978
        },
        {
          "id": 11,
          "value": 2.0
        },
        {
          "id": 12,
          "value": 0.5
        },
        {
          "id": 13,
          "value": 0.0
        },
        {
          "id": 14,
          "value": 0.100000001
        },
        {
          "id": 15,
          "value": 0.0
        },
        {
          "id": 16,
          "value": 1.0
        }
      ],
      "leftModuleId": 575,
      "data": {
        "wavebits": 10,
        "rms_time": 0.00100000005,
        "peak_time": 0.5,
        "m_invertphaseleft": false,
        "m_invertphaseright": false,
        "m_locklevelleftright": false,
        "m_kompressor_active": false,
        "m_distort": false,
        "m_attenuation": 0.5,
        "m_enconding_format": "wav",
        "m_encoding_bitrate": 320000,
        "m_autoenumeratefiles": true
      },
      "pos": [
        119,
        1
      ]
    },
    {
      "id": 577,
      "plugin": "Stoermelder-P1",
      "version": "1.7.1",
      "model": "CVMapMicro",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 1.0
        }
      ],
      "leftModuleId": 573,
      "rightModuleId": 578,
      "data": {
        "textScrolling": true,
        "mappingIndicatorHidden": false,
        "maps": [
          {
            "moduleId": 568,
            "paramId": 1
          }
        ],
        "lockParameterChanges": true,
        "bipolarInput": false,
        "panelTheme": 0,
        "invertedOutput": false
      },
      "pos": [
        111,
        4
      ]
    },
    {
      "id": 578,
      "plugin": "Stoermelder-P1",
      "version": "1.7.1",
      "model": "CVMapMicro",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.0
        },
        {
          "id": 2,
          "value": 1.0
        }
      ],
      "leftModuleId": 577,
      "rightModuleId": 579,
      "data": {
        "textScrolling": true,
        "mappingIndicatorHidden": false,
        "maps": [
          {
            "moduleId": 570,
            "paramId": 1
          }
        ],
        "lockParameterChanges": true,
        "bipolarInput": false,
        "panelTheme": 0,
        "invertedOutput": false
      },
      "pos": [
        114,
        4
      ]
    },
    {
      "id": 579,
      "plugin": "wiqid-anomalies",
      "version": "1.1.0",
      "model": "slf",
      "params": [
        {
          "id": 0,
          "value": 0.5
        },
        {
          "id": 1,
          "value": 0.5
        },
        {
          "id": 2,
          "value": 5.0
        }
      ],
      "leftModuleId": 578,
      "rightModuleId": 580,
      "pos": [
        117,
        4
      ]
    },
    {
      "id": 580,
      "plugin": "Stoermelder-P1",
      "version": "1.7.1",
      "model": "CVMapMicro",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.330000013
        },
        {
          "id": 2,
          "value": 1.0
        }
      ],
      "leftModuleId": 579,
      "rightModuleId": 581,
      "data": {
        "textScrolling": true,
        "mappingIndicatorHidden": false,
        "maps": [
          {
            "moduleId": 568,
            "paramId": 0
          }
        ],
        "lockParameterChanges": true,
        "bipolarInput": false,
        "panelTheme": 0,
        "invertedOutput": false
      },
      "pos": [
        119,
        4
      ]
    },
    {
      "id": 581,
      "plugin": "Stoermelder-P1",
      "version": "1.7.1",
      "model": "CVMapMicro",
      "params": [
        {
          "id": 0,
          "value": 0.0
        },
        {
          "id": 1,
          "value": 0.496500045
        },
        {
          "id": 2,
          "value": -0.295999855
        }
      ],
      "leftModuleId": 580,
      "data": {
        "textScrolling": true,
        "mappingIndicatorHidden": false,
        "maps": [
          {
            "moduleId": 570,
            "paramId": 0
          }
        ],
        "lockParameterChanges": true,
        "bipolarInput": false,
        "panelTheme": 0,
        "invertedOutput": false
      },
      "pos": [
        122,
        4
      ]
    }
  ],
  "cables": [
    {
      "id": 625,
      "outputModuleId": 199,
      "outputId": 2,
      "inputModuleId": 204,
      "inputId": 0,
      "color": "#c91847"
    },
    {
      "id": 626,
      "outputModuleId": 199,
      "outputId": 3,
      "inputModuleId": 204,
      "inputId": 1,
      "color": "#0986ad"
    },
    {
      "id": 629,
      "outputModuleId": 199,
      "outputId": 4,
      "inputModuleId": 205,
      "inputId": 0,
      "color": "#0c8e15"
    },
    {
      "id": 630,
      "outputModuleId": 205,
      "outputId": 0,
      "inputModuleId": 199,
      "inputId": 38,
      "color": "#c91847"
    },
    {
      "id": 631,
      "outputModuleId": 200,
      "outputId": 0,
      "inputModuleId": 206,
      "inputId": 0,
      "color": "#0986ad"
    },
    {
      "id": 632,
      "outputModuleId": 200,
      "outputId": 4,
      "inputModuleId": 206,
      "inputId": 1,
      "color": "#c9b70e"
    },
    {
      "id": 633,
      "outputModuleId": 206,
      "outputId": 0,
      "inputModuleId": 200,
      "inputId": 0,
      "color": "#0c8e15"
    },
    {
      "id": 634,
      "outputModuleId": 206,
      "outputId": 1,
      "inputModuleId": 200,
      "inputId": 1,
      "color": "#c91847"
    },
    {
      "id": 635,
      "outputModuleId": 200,
      "outputId": 1,
      "inputModuleId": 207,
      "inputId": 11,
      "color": "#0986ad"
    },
    {
      "id": 636,
      "outputModuleId": 200,
      "outputId": 5,
      "inputModuleId": 207,
      "inputId": 12,
      "color": "#c9b70e"
    },
    {
      "id": 637,
      "outputModuleId": 207,
      "outputId": 2,
      "inputModuleId": 200,
      "inputId": 2,
      "color": "#0c8e15"
    },
    {
      "id": 638,
      "outputModuleId": 207,
      "outputId": 3,
      "inputModuleId": 200,
      "inputId": 3,
      "color": "#c91847"
    },
    {
      "id": 639,
      "outputModuleId": 9,
      "outputId": 0,
      "inputModuleId": 207,
      "inputId": 0,
      "color": "#0986ad"
    },
    {
      "id": 1253,
      "outputModuleId": 517,
      "outputId": 0,
      "inputModuleId": 514,
      "inputId": 3,
      "color": "#c91847"
    },
    {
      "id": 1254,
      "outputModuleId": 518,
      "outputId": 0,
      "inputModuleId": 514,
      "inputId": 2,
      "color": "#0986ad"
    },
    {
      "id": 1255,
      "outputModuleId": 514,
      "outputId": 0,
      "inputModuleId": 519,
      "inputId": 0,
      "color": "#c9b70e"
    },
    {
      "id": 1256,
      "outputModuleId": 9,
      "outputId": 0,
      "inputModuleId": 519,
      "inputId": 1,
      "color": "#0c8e15"
    },
    {
      "id": 1257,
      "outputModuleId": 519,
      "outputId": 2,
      "inputModuleId": 514,
      "inputId": 1,
      "color": "#c91847"
    },
    {
      "id": 1258,
      "outputModuleId": 519,
      "outputId": 0,
      "inputModuleId": 520,
      "inputId": 1,
      "color": "#0986ad"
    },
    {
      "id": 1259,
      "outputModuleId": 517,
      "outputId": 0,
      "inputModuleId": 520,
      "inputId": 3,
      "color": "#c9b70e"
    },
    {
      "id": 1260,
      "outputModuleId": 521,
      "outputId": 4,
      "inputModuleId": 513,
      "inputId": 0,
      "color": "#c91847"
    },
    {
      "id": 1261,
      "outputModuleId": 513,
      "outputId": 0,
      "inputModuleId": 522,
      "inputId": 0,
      "color": "#0986ad"
    },
    {
      "id": 1262,
      "outputModuleId": 522,
      "outputId": 0,
      "inputModuleId": 514,
      "inputId": 0,
      "color": "#c9b70e"
    },
    {
      "id": 1265,
      "outputModuleId": 9,
      "outputId": 1,
      "inputModuleId": 523,
      "inputId": 0,
      "color": "#0986ad"
    },
    {
      "id": 1266,
      "outputModuleId": 9,
      "outputId": 4,
      "inputModuleId": 523,
      "inputId": 1,
      "color": "#c9b70e"
    },
    {
      "id": 1267,
      "outputModuleId": 523,
      "outputId": 0,
      "inputModuleId": 521,
      "inputId": 0,
      "color": "#0c8e15"
    },
    {
      "id": 1268,
      "outputModuleId": 524,
      "outputId": 1,
      "inputModuleId": 525,
      "inputId": 1,
      "color": "#c91847"
    },
    {
      "id": 1269,
      "outputModuleId": 524,
      "outputId": 0,
      "inputModuleId": 525,
      "inputId": 0,
      "color": "#0986ad"
    },
    {
      "id": 1272,
      "outputModuleId": 523,
      "outputId": 0,
      "inputModuleId": 524,
      "inputId": 0,
      "color": "#c91847"
    },
    {
      "id": 1275,
      "outputModuleId": 520,
      "outputId": 1,
      "inputModuleId": 526,
      "inputId": 0,
      "color": "#0c8e15"
    },
    {
      "id": 1276,
      "outputModuleId": 520,
      "outputId": 0,
      "inputModuleId": 526,
      "inputId": 5,
      "color": "#c91847"
    },
    {
      "id": 1277,
      "outputModuleId": 525,
      "outputId": 1,
      "inputModuleId": 526,
      "inputId": 1,
      "color": "#0986ad"
    },
    {
      "id": 1278,
      "outputModuleId": 525,
      "outputId": 0,
      "inputModuleId": 526,
      "inputId": 6,
      "color": "#c9b70e"
    },
    {
      "id": 1273,
      "outputModuleId": 527,
      "outputId": 2,
      "inputModuleId": 199,
      "inputId": 0,
      "color": "#0986ad"
    },
    {
      "id": 1274,
      "outputModuleId": 527,
      "outputId": 3,
      "inputModuleId": 199,
      "inputId": 1,
      "color": "#c9b70e"
    },
    {
      "id": 1279,
      "outputModuleId": 526,
      "outputId": 0,
      "inputModuleId": 527,
      "inputId": 9,
      "color": "#0c8e15"
    },
    {
      "id": 1280,
      "outputModuleId": 526,
      "outputId": 1,
      "inputModuleId": 527,
      "inputId": 10,
      "color": "#c91847"
    },
    {
      "id": 1281,
      "outputModuleId": 523,
      "outputId": 1,
      "inputModuleId": 527,
      "inputId": 6,
      "color": "#0986ad"
    },
    {
      "id": 1282,
      "outputModuleId": 9,
      "outputId": 2,
      "inputModuleId": 528,
      "inputId": 0,
      "color": "#c9b70e"
    },
    {
      "id": 1286,
      "outputModuleId": 528,
      "outputId": 0,
      "inputModuleId": 530,
      "inputId": 1,
      "color": "#c9b70e"
    },
    {
      "id": 1289,
      "outputModuleId": 531,
      "outputId": 0,
      "inputModuleId": 534,
      "inputId": 2,
      "color": "#c9b70e"
    },
    {
      "id": 1290,
      "outputModuleId": 533,
      "outputId": 0,
      "inputModuleId": 534,
      "inputId": 5,
      "color": "#0c8e15"
    },
    {
      "id": 1291,
      "outputModuleId": 534,
      "outputId": 0,
      "inputModuleId": 199,
      "inputId": 2,
      "color": "#c91847"
    },
    {
      "id": 1292,
      "outputModuleId": 534,
      "outputId": 1,
      "inputModuleId": 199,
      "inputId": 3,
      "color": "#0986ad"
    },
    {
      "id": 1293,
      "outputModuleId": 535,
      "outputId": 0,
      "inputModuleId": 534,
      "inputId": 1,
      "color": "#0c8e15"
    },
    {
      "id": 1294,
      "outputModuleId": 536,
      "outputId": 0,
      "inputModuleId": 534,
      "inputId": 4,
      "color": "#c91847"
    },
    {
      "id": 1295,
      "outputModuleId": 528,
      "outputId": 0,
      "inputModuleId": 535,
      "inputId": 3,
      "color": "#0986ad"
    },
    {
      "id": 1297,
      "outputModuleId": 9,
      "outputId": 2,
      "inputModuleId": 537,
      "inputId": 0,
      "color": "#0c8e15"
    },
    {
      "id": 1298,
      "outputModuleId": 9,
      "outputId": 4,
      "inputModuleId": 537,
      "inputId": 2,
      "color": "#c91847"
    },
    {
      "id": 1283,
      "outputModuleId": 9,
      "outputId": 4,
      "inputModuleId": 528,
      "inputId": 2,
      "color": "#0c8e15"
    },
    {
      "id": 1301,
      "outputModuleId": 9,
      "outputId": 2,
      "inputModuleId": 528,
      "inputId": 1,
      "color": "#0c8e15"
    },
    {
      "id": 1302,
      "outputModuleId": 9,
      "outputId": 2,
      "inputModuleId": 537,
      "inputId": 1,
      "color": "#c91847"
    },
    {
      "id": 1303,
      "outputModuleId": 537,
      "outputId": 0,
      "inputModuleId": 536,
      "inputId": 3,
      "color": "#0986ad"
    },
    {
      "id": 1305,
      "outputModuleId": 537,
      "outputId": 0,
      "inputModuleId": 539,
      "inputId": 1,
      "color": "#0c8e15"
    },
    {
      "id": 1306,
      "outputModuleId": 539,
      "outputId": 0,
      "inputModuleId": 538,
      "inputId": 2,
      "color": "#0986ad"
    },
    {
      "id": 1307,
      "outputModuleId": 538,
      "outputId": 0,
      "inputModuleId": 533,
      "inputId": 0,
      "color": "#c9b70e"
    },
    {
      "id": 1308,
      "outputModuleId": 537,
      "outputId": 2,
      "inputModuleId": 539,
      "inputId": 2,
      "color": "#0c8e15"
    },
    {
      "id": 1287,
      "outputModuleId": 530,
      "outputId": 0,
      "inputModuleId": 529,
      "inputId": 2,
      "color": "#0c8e15"
    },
    {
      "id": 1309,
      "outputModuleId": 529,
      "outputId": 0,
      "inputModuleId": 531,
      "inputId": 0,
      "color": "#c91847"
    },
    {
      "id": 1310,
      "outputModuleId": 528,
      "outputId": 2,
      "inputModuleId": 530,
      "inputId": 2,
      "color": "#0986ad"
    },
    {
      "id": 1311,
      "outputModuleId": 9,
      "outputId": 2,
      "inputModuleId": 541,
      "inputId": 0,
      "color": "#c91847"
    },
    {
      "id": 1312,
      "outputModuleId": 9,
      "outputId": 4,
      "inputModuleId": 541,
      "inputId": 2,
      "color": "#0986ad"
    },
    {
      "id": 1313,
      "outputModuleId": 9,
      "outputId": 2,
      "inputModuleId": 541,
      "inputId": 1,
      "color": "#c9b70e"
    },
    {
      "id": 1317,
      "outputModuleId": 542,
      "outputId": 0,
      "inputModuleId": 543,
      "inputId": 0,
      "color": "#c9b70e"
    },
    {
      "id": 1318,
      "outputModuleId": 544,
      "outputId": 0,
      "inputModuleId": 543,
      "inputId": 5,
      "color": "#0c8e15"
    },
    {
      "id": 1319,
      "outputModuleId": 541,
      "outputId": 0,
      "inputModuleId": 544,
      "inputId": 3,
      "color": "#c91847"
    },
    {
      "id": 1320,
      "outputModuleId": 545,
      "outputId": 0,
      "inputModuleId": 542,
      "inputId": 1,
      "color": "#0986ad"
    },
    {
      "id": 1321,
      "outputModuleId": 541,
      "outputId": 0,
      "inputModuleId": 545,
      "inputId": 3,
      "color": "#c9b70e"
    },
    {
      "id": 1316,
      "outputModuleId": 546,
      "outputId": 0,
      "inputModuleId": 542,
      "inputId": 0,
      "color": "#0986ad"
    },
    {
      "id": 1322,
      "outputModuleId": 9,
      "outputId": 4,
      "inputModuleId": 549,
      "inputId": 0,
      "color": "#0c8e15"
    },
    {
      "id": 1323,
      "outputModuleId": 9,
      "outputId": 5,
      "inputModuleId": 549,
      "inputId": 1,
      "color": "#c91847"
    },
    {
      "id": 1324,
      "outputModuleId": 9,
      "outputId": 6,
      "inputModuleId": 549,
      "inputId": 2,
      "color": "#0986ad"
    },
    {
      "id": 1325,
      "outputModuleId": 549,
      "outputId": 1,
      "inputModuleId": 548,
      "inputId": 0,
      "color": "#c9b70e"
    },
    {
      "id": 1326,
      "outputModuleId": 548,
      "outputId": 0,
      "inputModuleId": 553,
      "inputId": 0,
      "color": "#0c8e15"
    },
    {
      "id": 1332,
      "outputModuleId": 548,
      "outputId": 1,
      "inputModuleId": 553,
      "inputId": 2,
      "color": "#c9b70e"
    },
    {
      "id": 1334,
      "outputModuleId": 548,
      "outputId": 2,
      "inputModuleId": 554,
      "inputId": 0,
      "color": "#c91847"
    },
    {
      "id": 1335,
      "outputModuleId": 554,
      "outputId": 0,
      "inputModuleId": 551,
      "inputId": 3,
      "color": "#0986ad"
    },
    {
      "id": 1336,
      "outputModuleId": 554,
      "outputId": 1,
      "inputModuleId": 551,
      "inputId": 4,
      "color": "#c9b70e"
    },
    {
      "id": 1337,
      "outputModuleId": 555,
      "outputId": 0,
      "inputModuleId": 550,
      "inputId": 0,
      "color": "#0c8e15"
    },
    {
      "id": 1331,
      "outputModuleId": 553,
      "outputId": 0,
      "inputModuleId": 556,
      "inputId": 1,
      "color": "#0986ad"
    },
    {
      "id": 1338,
      "outputModuleId": 556,
      "outputId": 1,
      "inputModuleId": 555,
      "inputId": 2,
      "color": "#c91847"
    },
    {
      "id": 1341,
      "outputModuleId": 549,
      "outputId": 1,
      "inputModuleId": 557,
      "inputId": 6,
      "color": "#0c8e15"
    },
    {
      "id": 1342,
      "outputModuleId": 554,
      "outputId": 1,
      "inputModuleId": 551,
      "inputId": 5,
      "color": "#c91847"
    },
    {
      "id": 1343,
      "outputModuleId": 554,
      "outputId": 0,
      "inputModuleId": 551,
      "inputId": 6,
      "color": "#0986ad"
    },
    {
      "id": 1344,
      "outputModuleId": 553,
      "outputId": 1,
      "inputModuleId": 551,
      "inputId": 7,
      "color": "#c9b70e"
    },
    {
      "id": 1345,
      "outputModuleId": 553,
      "outputId": 0,
      "inputModuleId": 551,
      "inputId": 8,
      "color": "#0c8e15"
    },
    {
      "id": 1346,
      "outputModuleId": 559,
      "outputId": 0,
      "inputModuleId": 557,
      "inputId": 9,
      "color": "#c91847"
    },
    {
      "id": 1347,
      "outputModuleId": 559,
      "outputId": 1,
      "inputModuleId": 557,
      "inputId": 10,
      "color": "#0986ad"
    },
    {
      "id": 1348,
      "outputModuleId": 560,
      "outputId": 4,
      "inputModuleId": 553,
      "inputId": 1,
      "color": "#c9b70e"
    },
    {
      "id": 1349,
      "outputModuleId": 560,
      "outputId": 4,
      "inputModuleId": 554,
      "inputId": 1,
      "color": "#0c8e15"
    },
    {
      "id": 1350,
      "outputModuleId": 560,
      "outputId": 4,
      "inputModuleId": 553,
      "inputId": 3,
      "color": "#c91847"
    },
    {
      "id": 1351,
      "outputModuleId": 560,
      "outputId": 4,
      "inputModuleId": 554,
      "inputId": 3,
      "color": "#0986ad"
    },
    {
      "id": 1352,
      "outputModuleId": 548,
      "outputId": 3,
      "inputModuleId": 554,
      "inputId": 2,
      "color": "#c9b70e"
    },
    {
      "id": 1353,
      "outputModuleId": 549,
      "outputId": 2,
      "inputModuleId": 548,
      "inputId": 1,
      "color": "#0c8e15"
    },
    {
      "id": 1354,
      "outputModuleId": 9,
      "outputId": 0,
      "inputModuleId": 551,
      "inputId": 0,
      "color": "#c91847"
    },
    {
      "id": 1355,
      "outputModuleId": 550,
      "outputId": 0,
      "inputModuleId": 559,
      "inputId": 0,
      "color": "#0c8e15"
    },
    {
      "id": 1356,
      "outputModuleId": 550,
      "outputId": 0,
      "inputModuleId": 559,
      "inputId": 1,
      "color": "#c91847"
    },
    {
      "id": 1339,
      "outputModuleId": 551,
      "outputId": 0,
      "inputModuleId": 199,
      "inputId": 14,
      "color": "#0986ad"
    },
    {
      "id": 1340,
      "outputModuleId": 551,
      "outputId": 1,
      "inputModuleId": 199,
      "inputId": 15,
      "color": "#c9b70e"
    },
    {
      "id": 1357,
      "outputModuleId": 557,
      "outputId": 2,
      "inputModuleId": 551,
      "inputId": 11,
      "color": "#0986ad"
    },
    {
      "id": 1358,
      "outputModuleId": 557,
      "outputId": 3,
      "inputModuleId": 551,
      "inputId": 12,
      "color": "#c9b70e"
    },
    {
      "id": 1360,
      "outputModuleId": 547,
      "outputId": 0,
      "inputModuleId": 561,
      "inputId": 0,
      "color": "#c91847"
    },
    {
      "id": 1359,
      "outputModuleId": 563,
      "outputId": 0,
      "inputModuleId": 199,
      "inputId": 12,
      "color": "#0c8e15"
    },
    {
      "id": 1361,
      "outputModuleId": 561,
      "outputId": 0,
      "inputModuleId": 563,
      "inputId": 1,
      "color": "#0986ad"
    },
    {
      "id": 1362,
      "outputModuleId": 562,
      "outputId": 0,
      "inputModuleId": 563,
      "inputId": 0,
      "color": "#c9b70e"
    },
    {
      "id": 1364,
      "outputModuleId": 562,
      "outputId": 0,
      "inputModuleId": 561,
      "inputId": 1,
      "color": "#c91847"
    },
    {
      "id": 1365,
      "outputModuleId": 564,
      "outputId": 0,
      "inputModuleId": 547,
      "inputId": 0,
      "color": "#0986ad"
    },
    {
      "id": 1366,
      "outputModuleId": 564,
      "outputId": 1,
      "inputModuleId": 562,
      "inputId": 3,
      "color": "#c9b70e"
    },
    {
      "id": 1368,
      "outputModuleId": 9,
      "outputId": 4,
      "inputModuleId": 564,
      "inputId": 1,
      "color": "#c91847"
    },
    {
      "id": 1367,
      "outputModuleId": 9,
      "outputId": 2,
      "inputModuleId": 564,
      "inputId": 0,
      "color": "#0c8e15"
    },
    {
      "id": 1370,
      "outputModuleId": 565,
      "outputId": 0,
      "inputModuleId": 547,
      "inputId": 7,
      "color": "#0c8e15"
    },
    {
      "id": 1371,
      "outputModuleId": 565,
      "outputId": 0,
      "inputModuleId": 561,
      "inputId": 2,
      "color": "#c91847"
    },
    {
      "id": 1373,
      "outputModuleId": 9,
      "outputId": 1,
      "inputModuleId": 566,
      "inputId": 4,
      "color": "#0c8e15"
    },
    {
      "id": 1372,
      "outputModuleId": 567,
      "outputId": 0,
      "inputModuleId": 199,
      "inputId": 10,
      "color": "#c9b70e"
    },
    {
      "id": 1374,
      "outputModuleId": 566,
      "outputId": 0,
      "inputModuleId": 567,
      "inputId": 0,
      "color": "#c91847"
    },
    {
      "id": 1376,
      "outputModuleId": 564,
      "outputId": 1,
      "inputModuleId": 569,
      "inputId": 0,
      "color": "#c9b70e"
    },
    {
      "id": 1377,
      "outputModuleId": 569,
      "outputId": 0,
      "inputModuleId": 568,
      "inputId": 0,
      "color": "#0c8e15"
    },
    {
      "id": 1378,
      "outputModuleId": 569,
      "outputId": 1,
      "inputModuleId": 570,
      "inputId": 0,
      "color": "#c91847"
    },
    {
      "id": 1375,
      "outputModuleId": 571,
      "outputId": 0,
      "inputModuleId": 199,
      "inputId": 8,
      "color": "#0986ad"
    },
    {
      "id": 1379,
      "outputModuleId": 571,
      "outputId": 1,
      "inputModuleId": 199,
      "inputId": 9,
      "color": "#0986ad"
    },
    {
      "id": 1380,
      "outputModuleId": 568,
      "outputId": 0,
      "inputModuleId": 571,
      "inputId": 1,
      "color": "#c9b70e"
    },
    {
      "id": 1381,
      "outputModuleId": 570,
      "outputId": 0,
      "inputModuleId": 571,
      "inputId": 3,
      "color": "#0c8e15"
    },
    {
      "id": 1382,
      "outputModuleId": 572,
      "outputId": 0,
      "inputModuleId": 571,
      "inputId": 0,
      "color": "#c91847"
    },
    {
      "id": 1383,
      "outputModuleId": 573,
      "outputId": 0,
      "inputModuleId": 571,
      "inputId": 2,
      "color": "#0986ad"
    },
    {
      "id": 1384,
      "outputModuleId": 569,
      "outputId": 0,
      "inputModuleId": 572,
      "inputId": 3,
      "color": "#c9b70e"
    },
    {
      "id": 1385,
      "outputModuleId": 569,
      "outputId": 1,
      "inputModuleId": 573,
      "inputId": 3,
      "color": "#0c8e15"
    },
    {
      "id": 1315,
      "outputModuleId": 543,
      "outputId": 0,
      "inputModuleId": 199,
      "inputId": 4,
      "color": "#c91847"
    },
    {
      "id": 1314,
      "outputModuleId": 541,
      "outputId": 2,
      "inputModuleId": 574,
      "inputId": 2,
      "color": "#0c8e15"
    },
    {
      "id": 1386,
      "outputModuleId": 574,
      "outputId": 0,
      "inputModuleId": 546,
      "inputId": 0,
      "color": "#c91847"
    },
    {
      "id": 1387,
      "outputModuleId": 204,
      "outputId": 0,
      "inputModuleId": 575,
      "inputId": 0,
      "color": "#0986ad"
    },
    {
      "id": 628,
      "outputModuleId": 204,
      "outputId": 1,
      "inputModuleId": 575,
      "inputId": 1,
      "color": "#c9b70e"
    },
    {
      "id": 1388,
      "outputModuleId": 575,
      "outputId": 0,
      "inputModuleId": 12,
      "inputId": 0,
      "color": "#c9b70e"
    },
    {
      "id": 1389,
      "outputModuleId": 575,
      "outputId": 1,
      "inputModuleId": 12,
      "inputId": 1,
      "color": "#0c8e15"
    },
    {
      "id": 1390,
      "outputModuleId": 575,
      "outputId": 0,
      "inputModuleId": 576,
      "inputId": 0,
      "color": "#c91847"
    },
    {
      "id": 1391,
      "outputModuleId": 575,
      "outputId": 1,
      "inputModuleId": 576,
      "inputId": 1,
      "color": "#0986ad"
    },
    {
      "id": 1392,
      "outputModuleId": 579,
      "outputId": 0,
      "inputModuleId": 577,
      "inputId": 2,
      "color": "#c9b70e"
    },
    {
      "id": 1393,
      "outputModuleId": 579,
      "outputId": 1,
      "inputModuleId": 578,
      "inputId": 2,
      "color": "#0c8e15"
    },
    {
      "id": 1396,
      "outputModuleId": 579,
      "outputId": 2,
      "inputModuleId": 580,
      "inputId": 2,
      "color": "#0c8e15"
    },
    {
      "id": 1397,
      "outputModuleId": 579,
      "outputId": 3,
      "inputModuleId": 581,
      "inputId": 2,
      "color": "#c91847"
    },
    {
      "id": 1398,
      "outputModuleId": 518,
      "outputId": 0,
      "inputModuleId": 525,
      "inputId": 3,
      "color": "#0986ad"
    }
  ]
}